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[helm.git] / helm / software / components / binaries / matitaprover / benchmarks / log.90.reference.submitted.CASC.2009

1735: Facts:
1735:  Id :   2, {_}: add ?2 ?3 =<->= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
1735:  Id :   3, {_}:
          multiply ?5 ?6 =<->= multiply ?6 ?5
          [6, 5] by commutativity_of_multiply ?5 ?6
1735:  Id :   4, {_}:
          add (multiply ?8 ?9) ?10 =<= multiply (add ?8 ?10) (add ?9 ?10)
          [10, 9, 8] by distributivity1 ?8 ?9 ?10
1735:  Id :   5, {_}:
          add ?12 (multiply ?13 ?14) =<= multiply (add ?12 ?13) (add ?12 ?14)
          [14, 13, 12] by distributivity2 ?12 ?13 ?14
1735:  Id :   6, {_}:
          multiply (add ?16 ?17) ?18
          =<=
          add (multiply ?16 ?18) (multiply ?17 ?18)
          [18, 17, 16] by distributivity3 ?16 ?17 ?18
1735:  Id :   7, {_}:
          multiply ?20 (add ?21 ?22)
          =<=
          add (multiply ?20 ?21) (multiply ?20 ?22)
          [22, 21, 20] by distributivity4 ?20 ?21 ?22
1735:  Id :   8, {_}:
          add ?24 (inverse ?24) =>= multiplicative_identity
          [24] by additive_inverse1 ?24
1735:  Id :   9, {_}:
          add (inverse ?26) ?26 =>= multiplicative_identity
          [26] by additive_inverse2 ?26
1735:  Id :  10, {_}:
          multiply ?28 (inverse ?28) =>= additive_identity
          [28] by multiplicative_inverse1 ?28
1735:  Id :  11, {_}:
          multiply (inverse ?30) ?30 =>= additive_identity
          [30] by multiplicative_inverse2 ?30
1735:  Id :  12, {_}:
          multiply ?32 multiplicative_identity =>= ?32
          [32] by multiplicative_id1 ?32
1735:  Id :  13, {_}:
          multiply multiplicative_identity ?34 =>= ?34
          [34] by multiplicative_id2 ?34
1735:  Id :  14, {_}: add ?36 additive_identity =>= ?36 [36] by additive_id1 ?36
1735:  Id :  15, {_}: add additive_identity ?38 =>= ?38 [38] by additive_id2 ?38
1735: Goal:
1735:  Id :   1, {_}:
          multiply a (multiply b c) =<= multiply (multiply a b) c
          [] by prove_associativity
Statistics :
Max weight : 22
Found proof, 48.697236s
% SZS status Unsatisfiable for BOO007-2.p
% SZS output start CNFRefutation for BOO007-2.p
Id :  12, {_}: multiply ?32 multiplicative_identity =>= ?32 [32] by multiplicative_id1 ?32
Id :  15, {_}: add additive_identity ?38 =>= ?38 [38] by additive_id2 ?38
Id :   7, {_}: multiply ?20 (add ?21 ?22) =<= add (multiply ?20 ?21) (multiply ?20 ?22) [22, 21, 20] by distributivity4 ?20 ?21 ?22
Id :  14, {_}: add ?36 additive_identity =>= ?36 [36] by additive_id1 ?36
Id :  10, {_}: multiply ?28 (inverse ?28) =>= additive_identity [28] by multiplicative_inverse1 ?28
Id :  13, {_}: multiply multiplicative_identity ?34 =>= ?34 [34] by multiplicative_id2 ?34
Id :   8, {_}: add ?24 (inverse ?24) =>= multiplicative_identity [24] by additive_inverse1 ?24
Id :   2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
Id :  29, {_}: add (multiply ?78 ?79) ?80 =<= multiply (add ?78 ?80) (add ?79 ?80) [80, 79, 78] by distributivity1 ?78 ?79 ?80
Id :   5, {_}: add ?12 (multiply ?13 ?14) =<= multiply (add ?12 ?13) (add ?12 ?14) [14, 13, 12] by distributivity2 ?12 ?13 ?14
Id :   6, {_}: multiply (add ?16 ?17) ?18 =<= add (multiply ?16 ?18) (multiply ?17 ?18) [18, 17, 16] by distributivity3 ?16 ?17 ?18
Id :   4, {_}: add (multiply ?8 ?9) ?10 =<= multiply (add ?8 ?10) (add ?9 ?10) [10, 9, 8] by distributivity1 ?8 ?9 ?10
Id :   3, {_}: multiply ?5 ?6 =?= multiply ?6 ?5 [6, 5] by commutativity_of_multiply ?5 ?6
Id :  59, {_}: add (multiply ?156 (multiply ?157 ?158)) (multiply ?159 ?158) =<= multiply (add ?156 (multiply ?159 ?158)) (multiply (add ?157 ?159) ?158) [159, 158, 157, 156] by Super 4 with 6 at 2,3
Id :  42, {_}: multiply (add ?110 ?111) (add ?110 ?112) =>= add ?110 (multiply ?112 ?111) [112, 111, 110] by Super 3 with 5 at 3
Id :  54, {_}: add ?110 (multiply ?111 ?112) =?= add ?110 (multiply ?112 ?111) [112, 111, 110] by Demod 42 with 5 at 2
Id :  32, {_}: add (multiply ?90 ?91) ?92 =<= multiply (add ?92 ?90) (add ?91 ?92) [92, 91, 90] by Super 29 with 2 at 1,3
Id : 110, {_}: add ?331 (multiply (inverse ?331) ?332) =>= multiply multiplicative_identity (add ?331 ?332) [332, 331] by Super 5 with 8 at 1,3
Id : 1943, {_}: add ?2590 (multiply (inverse ?2590) ?2591) =>= add ?2590 ?2591 [2591, 2590] by Demod 110 with 13 at 3
Id : 1947, {_}: add ?2600 additive_identity =<= add ?2600 (inverse (inverse ?2600)) [2600] by Super 1943 with 10 at 2,2
Id : 1993, {_}: ?2600 =<= add ?2600 (inverse (inverse ?2600)) [2600] by Demod 1947 with 14 at 2
Id : 2411, {_}: add (multiply ?3101 ?3102) (inverse (inverse ?3102)) =<= multiply (add (inverse (inverse ?3102)) ?3101) ?3102 [3102, 3101] by Super 32 with 1993 at 2,3
Id : 2423, {_}: add (inverse (inverse ?3102)) (multiply ?3101 ?3102) =<= multiply (add (inverse (inverse ?3102)) ?3101) ?3102 [3101, 3102] by Demod 2411 with 2 at 2
Id : 2424, {_}: add (inverse (inverse ?3102)) (multiply ?3101 ?3102) =<= multiply ?3102 (add (inverse (inverse ?3102)) ?3101) [3101, 3102] by Demod 2423 with 3 at 3
Id : 109, {_}: add ?328 (multiply ?329 (inverse ?328)) =>= multiply (add ?328 ?329) multiplicative_identity [329, 328] by Super 5 with 8 at 2,3
Id : 113, {_}: add ?328 (multiply ?329 (inverse ?328)) =>= multiply multiplicative_identity (add ?328 ?329) [329, 328] by Demod 109 with 3 at 3
Id : 2866, {_}: add ?328 (multiply ?329 (inverse ?328)) =>= add ?328 ?329 [329, 328] by Demod 113 with 13 at 3
Id : 127, {_}: multiply ?345 (add (inverse ?345) ?346) =>= add additive_identity (multiply ?345 ?346) [346, 345] by Super 7 with 10 at 1,3
Id : 3211, {_}: multiply ?4050 (add (inverse ?4050) ?4051) =>= multiply ?4050 ?4051 [4051, 4050] by Demod 127 with 15 at 3
Id : 3224, {_}: multiply ?4085 (inverse ?4085) =<= multiply ?4085 (inverse (inverse (inverse ?4085))) [4085] by Super 3211 with 1993 at 2,2
Id : 3300, {_}: additive_identity =<= multiply ?4085 (inverse (inverse (inverse ?4085))) [4085] by Demod 3224 with 10 at 2
Id : 3454, {_}: add (inverse (inverse ?4196)) additive_identity =?= add (inverse (inverse ?4196)) ?4196 [4196] by Super 2866 with 3300 at 2,2
Id : 3477, {_}: add additive_identity (inverse (inverse ?4196)) =<= add (inverse (inverse ?4196)) ?4196 [4196] by Demod 3454 with 2 at 2
Id : 3478, {_}: add additive_identity (inverse (inverse ?4196)) =?= add ?4196 (inverse (inverse ?4196)) [4196] by Demod 3477 with 2 at 3
Id : 3479, {_}: inverse (inverse ?4196) =<= add ?4196 (inverse (inverse ?4196)) [4196] by Demod 3478 with 15 at 2
Id : 3480, {_}: inverse (inverse ?4196) =>= ?4196 [4196] by Demod 3479 with 1993 at 3
Id : 5662, {_}: add ?3102 (multiply ?3101 ?3102) =<= multiply ?3102 (add (inverse (inverse ?3102)) ?3101) [3101, 3102] by Demod 2424 with 3480 at 1,2
Id : 5663, {_}: add ?3102 (multiply ?3101 ?3102) =<= multiply ?3102 (add ?3102 ?3101) [3101, 3102] by Demod 5662 with 3480 at 1,2,3
Id : 198, {_}: add ?435 (multiply additive_identity ?436) =<= multiply ?435 (add ?435 ?436) [436, 435] by Super 5 with 14 at 1,3
Id : 824, {_}: add (multiply additive_identity ?1231) ?1232 =<= multiply ?1232 (add ?1231 ?1232) [1232, 1231] by Super 4 with 15 at 1,3
Id : 826, {_}: add (multiply additive_identity ?1237) (inverse ?1237) =>= multiply (inverse ?1237) multiplicative_identity [1237] by Super 824 with 8 at 2,3
Id : 858, {_}: add (inverse ?1237) (multiply additive_identity ?1237) =>= multiply (inverse ?1237) multiplicative_identity [1237] by Demod 826 with 2 at 2
Id : 859, {_}: add (inverse ?1237) (multiply additive_identity ?1237) =>= multiply multiplicative_identity (inverse ?1237) [1237] by Demod 858 with 3 at 3
Id : 860, {_}: add (inverse ?1237) (multiply additive_identity ?1237) =>= inverse ?1237 [1237] by Demod 859 with 13 at 3
Id : 3193, {_}: multiply ?345 (add (inverse ?345) ?346) =>= multiply ?345 ?346 [346, 345] by Demod 127 with 15 at 3
Id : 3207, {_}: add (inverse (add (inverse additive_identity) ?4041)) (multiply additive_identity ?4041) =>= inverse (add (inverse additive_identity) ?4041) [4041] by Super 860 with 3193 at 2,2
Id : 3250, {_}: add (multiply additive_identity ?4041) (inverse (add (inverse additive_identity) ?4041)) =>= inverse (add (inverse additive_identity) ?4041) [4041] by Demod 3207 with 2 at 2
Id : 219, {_}: inverse additive_identity =>= multiplicative_identity [] by Super 8 with 15 at 2
Id : 3251, {_}: add (multiply additive_identity ?4041) (inverse (add (inverse additive_identity) ?4041)) =>= inverse (add multiplicative_identity ?4041) [4041] by Demod 3250 with 219 at 1,1,3
Id : 3252, {_}: add (multiply additive_identity ?4041) (inverse (add multiplicative_identity ?4041)) =>= inverse (add multiplicative_identity ?4041) [4041] by Demod 3251 with 219 at 1,1,2,2
Id : 1948, {_}: add ?2602 (inverse ?2602) =>= add ?2602 multiplicative_identity [2602] by Super 1943 with 12 at 2,2
Id : 1994, {_}: multiplicative_identity =<= add ?2602 multiplicative_identity [2602] by Demod 1948 with 8 at 2
Id : 2021, {_}: add multiplicative_identity ?2668 =>= multiplicative_identity [2668] by Super 2 with 1994 at 3
Id : 3253, {_}: add (multiply additive_identity ?4041) (inverse (add multiplicative_identity ?4041)) =>= inverse multiplicative_identity [4041] by Demod 3252 with 2021 at 1,3
Id : 3254, {_}: add (multiply additive_identity ?4041) (inverse multiplicative_identity) =>= inverse multiplicative_identity [4041] by Demod 3253 with 2021 at 1,2,2
Id : 165, {_}: inverse multiplicative_identity =>= additive_identity [] by Super 10 with 13 at 2
Id : 3255, {_}: add (multiply additive_identity ?4041) (inverse multiplicative_identity) =>= additive_identity [4041] by Demod 3254 with 165 at 3
Id : 3256, {_}: add (inverse multiplicative_identity) (multiply additive_identity ?4041) =>= additive_identity [4041] by Demod 3255 with 2 at 2
Id : 3257, {_}: add additive_identity (multiply additive_identity ?4041) =>= additive_identity [4041] by Demod 3256 with 165 at 1,2
Id : 3258, {_}: multiply additive_identity ?4041 =>= additive_identity [4041] by Demod 3257 with 15 at 2
Id : 3331, {_}: add ?435 additive_identity =<= multiply ?435 (add ?435 ?436) [436, 435] by Demod 198 with 3258 at 2,2
Id : 3348, {_}: ?435 =<= multiply ?435 (add ?435 ?436) [436, 435] by Demod 3331 with 14 at 2
Id : 5664, {_}: add ?3102 (multiply ?3101 ?3102) =>= ?3102 [3101, 3102] by Demod 5663 with 3348 at 3
Id : 5671, {_}: add ?6841 (multiply ?6841 ?6842) =>= ?6841 [6842, 6841] by Super 54 with 5664 at 3
Id : 5795, {_}: add (multiply ?7033 (multiply ?7034 ?7035)) (multiply ?7033 ?7035) =>= multiply ?7033 (multiply (add ?7034 ?7033) ?7035) [7035, 7034, 7033] by Super 59 with 5671 at 1,3
Id : 5891, {_}: add (multiply ?7033 ?7035) (multiply ?7033 (multiply ?7034 ?7035)) =>= multiply ?7033 (multiply (add ?7034 ?7033) ?7035) [7034, 7035, 7033] by Demod 5795 with 2 at 2
Id : 5892, {_}: multiply ?7033 (add ?7035 (multiply ?7034 ?7035)) =?= multiply ?7033 (multiply (add ?7034 ?7033) ?7035) [7034, 7035, 7033] by Demod 5891 with 7 at 2
Id : 17951, {_}: multiply ?25977 ?25978 =<= multiply ?25977 (multiply (add ?25979 ?25977) ?25978) [25979, 25978, 25977] by Demod 5892 with 5664 at 2,2
Id : 17970, {_}: multiply (multiply ?26056 ?26057) ?26058 =<= multiply (multiply ?26056 ?26057) (multiply ?26057 ?26058) [26058, 26057, 26056] by Super 17951 with 5664 at 1,2,3
Id : 129, {_}: multiply (add ?351 ?352) (inverse ?351) =>= add additive_identity (multiply ?352 (inverse ?351)) [352, 351] by Super 6 with 10 at 1,3
Id : 134, {_}: multiply (inverse ?351) (add ?351 ?352) =>= add additive_identity (multiply ?352 (inverse ?351)) [352, 351] by Demod 129 with 3 at 2
Id : 3776, {_}: multiply (inverse ?351) (add ?351 ?352) =>= multiply ?352 (inverse ?351) [352, 351] by Demod 134 with 15 at 3
Id : 313, {_}: add (multiply ?580 ?581) ?582 =<= multiply (add ?580 ?582) (add ?582 ?581) [582, 581, 580] by Super 29 with 2 at 2,3
Id : 322, {_}: add (multiply ?615 ?616) (inverse ?615) =?= multiply multiplicative_identity (add (inverse ?615) ?616) [616, 615] by Super 313 with 8 at 1,3
Id : 344, {_}: add (inverse ?615) (multiply ?615 ?616) =?= multiply multiplicative_identity (add (inverse ?615) ?616) [616, 615] by Demod 322 with 2 at 2
Id : 345, {_}: add (inverse ?615) (multiply ?615 ?616) =>= add (inverse ?615) ?616 [616, 615] by Demod 344 with 13 at 3
Id : 3960, {_}: multiply (inverse (inverse ?4827)) (add (inverse ?4827) ?4828) =>= multiply (multiply ?4827 ?4828) (inverse (inverse ?4827)) [4828, 4827] by Super 3776 with 345 at 2,2
Id : 3987, {_}: multiply ?4828 (inverse (inverse ?4827)) =<= multiply (multiply ?4827 ?4828) (inverse (inverse ?4827)) [4827, 4828] by Demod 3960 with 3776 at 2
Id : 3988, {_}: multiply ?4828 (inverse (inverse ?4827)) =<= multiply (inverse (inverse ?4827)) (multiply ?4827 ?4828) [4827, 4828] by Demod 3987 with 3 at 3
Id : 3989, {_}: multiply ?4828 ?4827 =<= multiply (inverse (inverse ?4827)) (multiply ?4827 ?4828) [4827, 4828] by Demod 3988 with 3480 at 2,2
Id : 3990, {_}: multiply ?4828 ?4827 =<= multiply ?4827 (multiply ?4827 ?4828) [4827, 4828] by Demod 3989 with 3480 at 1,3
Id : 17971, {_}: multiply (multiply ?26060 ?26061) ?26062 =<= multiply (multiply ?26060 ?26061) (multiply ?26060 ?26062) [26062, 26061, 26060] by Super 17951 with 5671 at 1,2,3
Id : 31662, {_}: multiply (multiply ?52217 ?52218) (multiply ?52217 ?52219) =<= multiply (multiply ?52217 ?52219) (multiply (multiply ?52217 ?52219) ?52218) [52219, 52218, 52217] by Super 3990 with 17971 at 2,3
Id : 31878, {_}: multiply (multiply ?52217 ?52218) ?52219 =<= multiply (multiply ?52217 ?52219) (multiply (multiply ?52217 ?52219) ?52218) [52219, 52218, 52217] by Demod 31662 with 17971 at 2
Id : 31879, {_}: multiply (multiply ?52217 ?52218) ?52219 =>= multiply ?52218 (multiply ?52217 ?52219) [52219, 52218, 52217] by Demod 31878 with 3990 at 3
Id : 32123, {_}: multiply ?26057 (multiply ?26056 ?26058) =<= multiply (multiply ?26056 ?26057) (multiply ?26057 ?26058) [26058, 26056, 26057] by Demod 17970 with 31879 at 2
Id : 32124, {_}: multiply ?26057 (multiply ?26056 ?26058) =<= multiply ?26057 (multiply ?26056 (multiply ?26057 ?26058)) [26058, 26056, 26057] by Demod 32123 with 31879 at 3
Id : 218, {_}: add (multiply additive_identity ?463) ?464 =<= multiply ?464 (add ?463 ?464) [464, 463] by Super 4 with 15 at 1,3
Id : 3330, {_}: add additive_identity ?464 =<= multiply ?464 (add ?463 ?464) [463, 464] by Demod 218 with 3258 at 1,2
Id : 3349, {_}: ?464 =<= multiply ?464 (add ?463 ?464) [463, 464] by Demod 3330 with 15 at 2
Id : 5805, {_}: add ?7066 (multiply ?7067 (multiply ?7066 ?7068)) =>= multiply (add ?7066 ?7067) ?7066 [7068, 7067, 7066] by Super 5 with 5671 at 2,3
Id : 5872, {_}: add ?7066 (multiply ?7067 (multiply ?7066 ?7068)) =>= multiply ?7066 (add ?7066 ?7067) [7068, 7067, 7066] by Demod 5805 with 3 at 3
Id : 5873, {_}: add ?7066 (multiply ?7067 (multiply ?7066 ?7068)) =>= ?7066 [7068, 7067, 7066] by Demod 5872 with 3348 at 3
Id : 16789, {_}: multiply ?23487 (multiply ?23488 ?23489) =<= multiply (multiply ?23487 (multiply ?23488 ?23489)) ?23488 [23489, 23488, 23487] by Super 3349 with 5873 at 2,3
Id : 16955, {_}: multiply ?23487 (multiply ?23488 ?23489) =<= multiply ?23488 (multiply ?23487 (multiply ?23488 ?23489)) [23489, 23488, 23487] by Demod 16789 with 3 at 3
Id : 32125, {_}: multiply ?26057 (multiply ?26056 ?26058) =?= multiply ?26056 (multiply ?26057 ?26058) [26058, 26056, 26057] by Demod 32124 with 16955 at 3
Id : 32577, {_}: multiply a (multiply b c) =?= multiply a (multiply b c) [] by Demod 32576 with 3 at 2,3
Id : 32576, {_}: multiply a (multiply b c) =?= multiply a (multiply c b) [] by Demod 32575 with 32125 at 3
Id : 32575, {_}: multiply a (multiply b c) =<= multiply c (multiply a b) [] by Demod 1 with 3 at 3
Id :   1, {_}: multiply a (multiply b c) =<= multiply (multiply a b) c [] by prove_associativity
% SZS output end CNFRefutation for BOO007-2.p
1736: solved BOO007-2.p in 9.728607 using kbo
!! infer_left                                     303    0.0003    0.0000    0.0000
!! infer_right                                    153   43.6267    2.4522    0.2851
!! simplify_goal                                  303    0.4737    0.4004    0.0016
!! keep_simplified                                615    4.1116    0.4999    0.0067
!! simplification_step                            678    4.1095    0.4088    0.0061
!! simplify                                     25989   42.4206    0.4126    0.0016
!! orphan_murder                                  656    0.0188    0.0005    0.0000
!! is_subsumed                                  21710    3.8041    0.4122    0.0002
!! build_new_clause                             17650    2.3840    0.4063    0.0001
!! demodulate                                   25789   38.1945    0.4057    0.0015
!! demod                                       153271   36.0228    0.4044    0.0002
!! demod.apply_subst                           518702    4.5318    0.4001    0.0000
!! demod.compare_terms                         244926   14.8635    0.4041    0.0001
!! demod.retrieve_generalizations              153271    3.4032    0.4001    0.0000
!! demod.unify                                 425467    5.9114    0.4043    0.0000
!! build_clause                                 36279    2.0349    0.4027    0.0001
!! compare_terms(kbo)                          285288   13.4065    0.4012    0.0000
!! compare_terms(nrkbo)                            15    0.0001    0.0000    0.0000
1770: Facts:
1770:  Id :   2, {_}: add ?2 ?3 =<->= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
1770:  Id :   3, {_}:
          multiply ?5 ?6 =<->= multiply ?6 ?5
          [6, 5] by commutativity_of_multiply ?5 ?6
1770:  Id :   4, {_}:
          add ?8 (multiply ?9 ?10) =<= multiply (add ?8 ?9) (add ?8 ?10)
          [10, 9, 8] by distributivity1 ?8 ?9 ?10
1770:  Id :   5, {_}:
          multiply ?12 (add ?13 ?14)
          =<=
          add (multiply ?12 ?13) (multiply ?12 ?14)
          [14, 13, 12] by distributivity2 ?12 ?13 ?14
1770:  Id :   6, {_}: add ?16 additive_identity =>= ?16 [16] by additive_id1 ?16
1770:  Id :   7, {_}:
          multiply ?18 multiplicative_identity =>= ?18
          [18] by multiplicative_id1 ?18
1770:  Id :   8, {_}:
          add ?20 (inverse ?20) =>= multiplicative_identity
          [20] by additive_inverse1 ?20
1770:  Id :   9, {_}:
          multiply ?22 (inverse ?22) =>= additive_identity
          [22] by multiplicative_inverse1 ?22
1770: Goal:
1770:  Id :   1, {_}:
          multiply a (multiply b c) =<= multiply (multiply a b) c
          [] by prove_associativity
Statistics :
Max weight : 25
Found proof, 54.096388s
% SZS status Unsatisfiable for BOO007-4.p
% SZS output start CNFRefutation for BOO007-4.p
Id :   5, {_}: multiply ?12 (add ?13 ?14) =<= add (multiply ?12 ?13) (multiply ?12 ?14) [14, 13, 12] by distributivity2 ?12 ?13 ?14
Id :   8, {_}: add ?20 (inverse ?20) =>= multiplicative_identity [20] by additive_inverse1 ?20
Id :   4, {_}: add ?8 (multiply ?9 ?10) =<= multiply (add ?8 ?9) (add ?8 ?10) [10, 9, 8] by distributivity1 ?8 ?9 ?10
Id :   7, {_}: multiply ?18 multiplicative_identity =>= ?18 [18] by multiplicative_id1 ?18
Id :  40, {_}: multiply ?112 (add ?113 ?114) =<= add (multiply ?112 ?113) (multiply ?112 ?114) [114, 113, 112] by distributivity2 ?112 ?113 ?114
Id :   6, {_}: add ?16 additive_identity =>= ?16 [16] by additive_id1 ?16
Id :   2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
Id :  23, {_}: add ?62 (multiply ?63 ?64) =<= multiply (add ?62 ?63) (add ?62 ?64) [64, 63, 62] by distributivity1 ?62 ?63 ?64
Id :   3, {_}: multiply ?5 ?6 =?= multiply ?6 ?5 [6, 5] by commutativity_of_multiply ?5 ?6
Id :  92, {_}: add ?229 (multiply ?230 ?231) =<= multiply (add ?229 ?230) (add ?231 ?229) [231, 230, 229] by Super 23 with 2 at 2,3
Id :  99, {_}: add ?256 (multiply additive_identity ?257) =<= multiply ?256 (add ?257 ?256) [257, 256] by Super 92 with 6 at 1,3
Id :  57, {_}: add additive_identity ?160 =>= ?160 [160] by Super 2 with 6 at 3
Id : 1995, {_}: multiply ?2660 (add ?2661 ?2662) =<= add (multiply ?2660 ?2661) (multiply ?2662 ?2660) [2662, 2661, 2660] by Super 40 with 3 at 2,3
Id :  67, {_}: multiply multiplicative_identity ?178 =>= ?178 [178] by Super 3 with 7 at 3
Id : 1999, {_}: multiply ?2674 (add ?2675 multiplicative_identity) =?= add (multiply ?2674 ?2675) ?2674 [2675, 2674] by Super 1995 with 67 at 2,3
Id :  76, {_}: add ?193 (multiply (inverse ?193) ?194) =>= multiply multiplicative_identity (add ?193 ?194) [194, 193] by Super 4 with 8 at 1,3
Id : 1718, {_}: add ?2343 (multiply (inverse ?2343) ?2344) =>= add ?2343 ?2344 [2344, 2343] by Demod 76 with 67 at 3
Id : 1722, {_}: add ?2353 (inverse ?2353) =>= add ?2353 multiplicative_identity [2353] by Super 1718 with 7 at 2,2
Id : 1761, {_}: multiplicative_identity =<= add ?2353 multiplicative_identity [2353] by Demod 1722 with 8 at 2
Id : 2057, {_}: multiply ?2674 multiplicative_identity =<= add (multiply ?2674 ?2675) ?2674 [2675, 2674] by Demod 1999 with 1761 at 2,2
Id : 2058, {_}: multiply ?2674 multiplicative_identity =<= add ?2674 (multiply ?2674 ?2675) [2675, 2674] by Demod 2057 with 2 at 3
Id : 2059, {_}: ?2674 =<= add ?2674 (multiply ?2674 ?2675) [2675, 2674] by Demod 2058 with 7 at 2
Id : 2704, {_}: additive_identity =<= multiply additive_identity ?3300 [3300] by Super 57 with 2059 at 2
Id : 2787, {_}: add ?256 additive_identity =<= multiply ?256 (add ?257 ?256) [257, 256] by Demod 99 with 2704 at 2,2
Id : 2795, {_}: ?256 =<= multiply ?256 (add ?257 ?256) [257, 256] by Demod 2787 with 6 at 2
Id :  38, {_}: add (multiply ?102 ?103) (multiply ?104 (multiply ?102 ?105)) =<= multiply (add (multiply ?102 ?103) ?104) (multiply ?102 (add ?103 ?105)) [105, 104, 103, 102] by Super 4 with 5 at 2,3
Id : 1787, {_}: add multiplicative_identity ?2424 =>= multiplicative_identity [2424] by Super 2 with 1761 at 3
Id : 1863, {_}: add (multiply ?2484 multiplicative_identity) (multiply ?2485 (multiply ?2484 ?2486)) =?= multiply (add (multiply ?2484 multiplicative_identity) ?2485) (multiply ?2484 multiplicative_identity) [2486, 2485, 2484] by Super 38 with 1787 at 2,2,3
Id : 1888, {_}: add ?2484 (multiply ?2485 (multiply ?2484 ?2486)) =?= multiply (add (multiply ?2484 multiplicative_identity) ?2485) (multiply ?2484 multiplicative_identity) [2486, 2485, 2484] by Demod 1863 with 7 at 1,2
Id : 1889, {_}: add ?2484 (multiply ?2485 (multiply ?2484 ?2486)) =?= multiply (multiply ?2484 multiplicative_identity) (add (multiply ?2484 multiplicative_identity) ?2485) [2486, 2485, 2484] by Demod 1888 with 3 at 3
Id :  56, {_}: add ?157 (multiply additive_identity ?158) =<= multiply ?157 (add ?157 ?158) [158, 157] by Super 4 with 6 at 1,3
Id : 1890, {_}: add ?2484 (multiply ?2485 (multiply ?2484 ?2486)) =?= add (multiply ?2484 multiplicative_identity) (multiply additive_identity ?2485) [2486, 2485, 2484] by Demod 1889 with 56 at 3
Id : 1891, {_}: add ?2484 (multiply ?2485 (multiply ?2484 ?2486)) =>= add ?2484 (multiply additive_identity ?2485) [2486, 2485, 2484] by Demod 1890 with 7 at 1,3
Id : 11344, {_}: add ?2484 (multiply ?2485 (multiply ?2484 ?2486)) =>= add ?2484 additive_identity [2486, 2485, 2484] by Demod 1891 with 2704 at 2,3
Id : 11345, {_}: add ?2484 (multiply ?2485 (multiply ?2484 ?2486)) =>= ?2484 [2486, 2485, 2484] by Demod 11344 with 6 at 3
Id : 11361, {_}: multiply ?14884 (multiply ?14885 ?14886) =<= multiply (multiply ?14884 (multiply ?14885 ?14886)) ?14885 [14886, 14885, 14884] by Super 2795 with 11345 at 2,3
Id : 20000, {_}: multiply ?31824 (multiply ?31825 ?31826) =<= multiply ?31825 (multiply ?31824 (multiply ?31825 ?31826)) [31826, 31825, 31824] by Demod 11361 with 3 at 3
Id : 20001, {_}: multiply ?31828 (multiply ?31829 ?31830) =<= multiply ?31829 (multiply ?31828 (multiply ?31830 ?31829)) [31830, 31829, 31828] by Super 20000 with 3 at 2,2,3
Id : 2015, {_}: multiply ?2737 (add multiplicative_identity ?2738) =?= add ?2737 (multiply ?2738 ?2737) [2738, 2737] by Super 1995 with 7 at 1,3
Id : 2080, {_}: multiply ?2737 multiplicative_identity =<= add ?2737 (multiply ?2738 ?2737) [2738, 2737] by Demod 2015 with 1787 at 2,2
Id : 2081, {_}: ?2737 =<= add ?2737 (multiply ?2738 ?2737) [2738, 2737] by Demod 2080 with 7 at 2
Id : 3223, {_}: add ?3993 (multiply ?3994 (multiply ?3995 ?3993)) =>= multiply (add ?3993 ?3994) ?3993 [3995, 3994, 3993] by Super 4 with 2081 at 2,3
Id : 3268, {_}: add ?3993 (multiply ?3994 (multiply ?3995 ?3993)) =>= multiply ?3993 (add ?3993 ?3994) [3995, 3994, 3993] by Demod 3223 with 3 at 3
Id : 2786, {_}: add ?157 additive_identity =<= multiply ?157 (add ?157 ?158) [158, 157] by Demod 56 with 2704 at 2,2
Id : 2796, {_}: ?157 =<= multiply ?157 (add ?157 ?158) [158, 157] by Demod 2786 with 6 at 2
Id : 3269, {_}: add ?3993 (multiply ?3994 (multiply ?3995 ?3993)) =>= ?3993 [3995, 3994, 3993] by Demod 3268 with 2796 at 3
Id : 12646, {_}: multiply ?17385 (multiply ?17386 ?17387) =<= multiply (multiply ?17385 (multiply ?17386 ?17387)) ?17387 [17387, 17386, 17385] by Super 2795 with 3269 at 2,3
Id : 12791, {_}: multiply ?17385 (multiply ?17386 ?17387) =<= multiply ?17387 (multiply ?17385 (multiply ?17386 ?17387)) [17387, 17386, 17385] by Demod 12646 with 3 at 3
Id : 29290, {_}: multiply ?31828 (multiply ?31829 ?31830) =?= multiply ?31828 (multiply ?31830 ?31829) [31830, 31829, 31828] by Demod 20001 with 12791 at 3
Id : 2707, {_}: add (multiply ?3308 ?3309) (multiply additive_identity ?3308) =>= multiply (multiply ?3308 ?3309) ?3308 [3309, 3308] by Super 99 with 2059 at 2,3
Id :  41, {_}: multiply ?116 (add ?117 ?118) =<= add (multiply ?116 ?117) (multiply ?118 ?116) [118, 117, 116] by Super 40 with 3 at 2,3
Id : 2744, {_}: multiply ?3308 (add ?3309 additive_identity) =<= multiply (multiply ?3308 ?3309) ?3308 [3309, 3308] by Demod 2707 with 41 at 2
Id : 2745, {_}: multiply ?3308 (add ?3309 additive_identity) =<= multiply ?3308 (multiply ?3308 ?3309) [3309, 3308] by Demod 2744 with 3 at 3
Id : 2746, {_}: multiply ?3308 ?3309 =<= multiply ?3308 (multiply ?3308 ?3309) [3309, 3308] by Demod 2745 with 6 at 2,2
Id : 3308, {_}: multiply ?4113 (add ?4114 (multiply ?4113 ?4115)) =>= add (multiply ?4113 ?4114) (multiply ?4113 ?4115) [4115, 4114, 4113] by Super 5 with 2746 at 2,3
Id : 13184, {_}: multiply ?18521 (add ?18522 (multiply ?18521 ?18523)) =>= multiply ?18521 (add ?18522 ?18523) [18523, 18522, 18521] by Demod 3308 with 5 at 3
Id : 13242, {_}: multiply ?18755 (multiply ?18756 (add ?18757 ?18755)) =?= multiply ?18755 (add (multiply ?18756 ?18757) ?18756) [18757, 18756, 18755] by Super 13184 with 41 at 2,2
Id :  36, {_}: add (multiply ?94 ?95) (multiply ?94 ?96) =>= multiply ?94 (add ?96 ?95) [96, 95, 94] by Super 2 with 5 at 3
Id :  50, {_}: multiply ?94 (add ?95 ?96) =?= multiply ?94 (add ?96 ?95) [96, 95, 94] by Demod 36 with 5 at 2
Id : 13377, {_}: multiply ?18755 (multiply ?18756 (add ?18757 ?18755)) =?= multiply ?18755 (add ?18756 (multiply ?18756 ?18757)) [18757, 18756, 18755] by Demod 13242 with 50 at 3
Id : 21775, {_}: multiply ?35092 (multiply ?35093 (add ?35094 ?35092)) =>= multiply ?35092 ?35093 [35094, 35093, 35092] by Demod 13377 with 2059 at 2,3
Id : 21806, {_}: multiply (multiply ?35231 ?35232) (multiply ?35233 ?35231) =>= multiply (multiply ?35231 ?35232) ?35233 [35233, 35232, 35231] by Super 21775 with 2059 at 2,2,2
Id : 30826, {_}: multiply (multiply ?54413 ?54414) (multiply ?54413 ?54415) =>= multiply (multiply ?54413 ?54414) ?54415 [54415, 54414, 54413] by Super 29290 with 21806 at 3
Id : 21807, {_}: multiply (multiply ?35235 ?35236) (multiply ?35237 ?35236) =>= multiply (multiply ?35235 ?35236) ?35237 [35237, 35236, 35235] by Super 21775 with 2081 at 2,2,2
Id : 31457, {_}: multiply (multiply ?55866 ?55867) (multiply ?55867 ?55868) =>= multiply (multiply ?55866 ?55867) ?55868 [55868, 55867, 55866] by Super 29290 with 21807 at 3
Id : 30871, {_}: multiply (multiply ?54619 ?54620) (multiply ?54620 ?54621) =>= multiply (multiply ?54620 ?54621) ?54619 [54621, 54620, 54619] by Super 3 with 21806 at 3
Id : 35987, {_}: multiply (multiply ?55867 ?55868) ?55866 =?= multiply (multiply ?55866 ?55867) ?55868 [55866, 55868, 55867] by Demod 31457 with 30871 at 2
Id : 36082, {_}: multiply ?65656 (multiply ?65657 ?65658) =<= multiply (multiply ?65656 ?65657) ?65658 [65658, 65657, 65656] by Super 3 with 35987 at 3
Id : 36556, {_}: multiply ?54413 (multiply ?54414 (multiply ?54413 ?54415)) =>= multiply (multiply ?54413 ?54414) ?54415 [54415, 54414, 54413] by Demod 30826 with 36082 at 2
Id : 36557, {_}: multiply ?54413 (multiply ?54414 (multiply ?54413 ?54415)) =>= multiply ?54413 (multiply ?54414 ?54415) [54415, 54414, 54413] by Demod 36556 with 36082 at 3
Id : 11495, {_}: multiply ?14884 (multiply ?14885 ?14886) =<= multiply ?14885 (multiply ?14884 (multiply ?14885 ?14886)) [14886, 14885, 14884] by Demod 11361 with 3 at 3
Id : 36558, {_}: multiply ?54414 (multiply ?54413 ?54415) =?= multiply ?54413 (multiply ?54414 ?54415) [54415, 54413, 54414] by Demod 36557 with 11495 at 2
Id : 37012, {_}: multiply a (multiply b c) =?= multiply a (multiply b c) [] by Demod 37011 with 3 at 2,3
Id : 37011, {_}: multiply a (multiply b c) =?= multiply a (multiply c b) [] by Demod 37010 with 36558 at 3
Id : 37010, {_}: multiply a (multiply b c) =<= multiply c (multiply a b) [] by Demod 1 with 3 at 3
Id :   1, {_}: multiply a (multiply b c) =<= multiply (multiply a b) c [] by prove_associativity
% SZS output end CNFRefutation for BOO007-4.p
1771: solved BOO007-4.p in 11.70073 using kbo
!! infer_left                                     319    0.0003    0.0000    0.0000
!! infer_right                                    161   46.7423    2.5437    0.2903
!! simplify_goal                                  319    0.7817    0.4007    0.0025
!! keep_simplified                                827    5.3629    0.4213    0.0065
!! simplification_step                            893    5.3604    0.4212    0.0060
!! simplify                                     30590   43.9838    0.4162    0.0014
!! orphan_murder                                  850    0.4325    0.4005    0.0005
!! is_subsumed                                  24422    1.7134    0.4001    0.0001
!! build_new_clause                             20808    4.7365    0.4009    0.0002
!! demodulate                                   29959   42.1389    0.4162    0.0014
!! demod                                       177657   38.8888    0.4162    0.0002
!! demod.apply_subst                           608092    5.6835    0.4001    0.0000
!! demod.compare_terms                         286848   14.4398    0.4003    0.0001
!! demod.retrieve_generalizations              177657    4.8575    0.4161    0.0000
!! demod.unify                                 518629    6.7446    0.4002    0.0000
!! build_clause                                 40982    5.7804    0.4005    0.0001
!! compare_terms(kbo)                          333832   15.8655    0.4005    0.0000
!! compare_terms(nrkbo)                             9    0.0001    0.0000    0.0000
1805: Facts:
1805:  Id :   2, {_}:
          multiply (multiply ?2 ?3 ?4) ?5 (multiply ?2 ?3 ?6)
          =>=
          multiply ?2 ?3 (multiply ?4 ?5 ?6)
          [6, 5, 4, 3, 2] by associativity ?2 ?3 ?4 ?5 ?6
1805:  Id :   3, {_}: multiply ?8 ?8 ?9 =>= ?8 [9, 8] by ternary_multiply_2 ?8 ?9
1805:  Id :   4, {_}:
          multiply (inverse ?11) ?11 ?12 =>= ?12
          [12, 11] by left_inverse ?11 ?12
1805:  Id :   5, {_}:
          multiply ?14 ?15 (inverse ?15) =>= ?14
          [15, 14] by right_inverse ?14 ?15
1805: Goal:
1805:  Id :   1, {_}: multiply y x x =>= x [] by prove_ternary_multiply_1_independant
% SZS status Timeout for BOO019-1.p
1832: Facts:
1832:  Id :   2, {_}: multiply (add ?2 ?3) ?3 =>= ?3 [3, 2] by multiply_add ?2 ?3
1832:  Id :   3, {_}:
          multiply ?5 (add ?6 ?7) =<= add (multiply ?6 ?5) (multiply ?7 ?5)
          [7, 6, 5] by multiply_add_property ?5 ?6 ?7
1832:  Id :   4, {_}: add ?9 (inverse ?9) =>= n1 [9] by additive_inverse ?9
1832:  Id :   5, {_}:
          pixley ?11 ?12 ?13
          =<=
          add (multiply ?11 (inverse ?12))
            (add (multiply ?11 ?13) (multiply (inverse ?12) ?13))
          [13, 12, 11] by pixley_defn ?11 ?12 ?13
1832:  Id :   6, {_}: pixley ?15 ?15 ?16 =>= ?16 [16, 15] by pixley1 ?15 ?16
1832:  Id :   7, {_}: pixley ?18 ?19 ?19 =>= ?18 [19, 18] by pixley2 ?18 ?19
1832:  Id :   8, {_}: pixley ?21 ?22 ?21 =>= ?21 [22, 21] by pixley3 ?21 ?22
1832: Goal:
1832:  Id :   1, {_}:
          add a (multiply b c) =<= multiply (add a b) (add a c)
          [] by prove_add_multiply_property
Statistics :
Max weight : 22
Found proof, 55.121856s
% SZS status Unsatisfiable for BOO023-1.p
% SZS output start CNFRefutation for BOO023-1.p
Id :   8, {_}: pixley ?21 ?22 ?21 =>= ?21 [22, 21] by pixley3 ?21 ?22
Id :   6, {_}: pixley ?15 ?15 ?16 =>= ?16 [16, 15] by pixley1 ?15 ?16
Id :   4, {_}: add ?9 (inverse ?9) =>= n1 [9] by additive_inverse ?9
Id :   7, {_}: pixley ?18 ?19 ?19 =>= ?18 [19, 18] by pixley2 ?18 ?19
Id :   5, {_}: pixley ?11 ?12 ?13 =<= add (multiply ?11 (inverse ?12)) (add (multiply ?11 ?13) (multiply (inverse ?12) ?13)) [13, 12, 11] by pixley_defn ?11 ?12 ?13
Id :   2, {_}: multiply (add ?2 ?3) ?3 =>= ?3 [3, 2] by multiply_add ?2 ?3
Id :  12, {_}: multiply ?33 (add ?34 ?35) =<= add (multiply ?34 ?33) (multiply ?35 ?33) [35, 34, 33] by multiply_add_property ?33 ?34 ?35
Id :   3, {_}: multiply ?5 (add ?6 ?7) =<= add (multiply ?6 ?5) (multiply ?7 ?5) [7, 6, 5] by multiply_add_property ?5 ?6 ?7
Id :  13, {_}: multiply ?37 (add ?38 (add ?39 ?37)) =>= add (multiply ?38 ?37) ?37 [39, 38, 37] by Super 12 with 2 at 2,3
Id :  83, {_}: multiply (add ?226 (add ?227 ?228)) (add ?228 ?229) =<= add (add (multiply ?226 ?228) ?228) (multiply ?229 (add ?226 (add ?227 ?228))) [229, 228, 227, 226] by Super 3 with 13 at 1,3
Id :  19, {_}: pixley ?11 ?12 ?13 =<= add (multiply ?11 (inverse ?12)) (multiply ?13 (add ?11 (inverse ?12))) [13, 12, 11] by Demod 5 with 3 at 2,3
Id :  21, {_}: pixley ?58 ?59 ?60 =<= add (multiply ?58 (inverse ?59)) (multiply ?60 (add ?58 (inverse ?59))) [60, 59, 58] by Demod 5 with 3 at 2,3
Id :  22, {_}: pixley ?62 ?62 ?63 =<= add (multiply ?62 (inverse ?62)) (multiply ?63 n1) [63, 62] by Super 21 with 4 at 2,2,3
Id : 125, {_}: ?331 =<= add (multiply ?332 (inverse ?332)) (multiply ?331 n1) [332, 331] by Demod 22 with 6 at 2
Id :  16, {_}: multiply n1 (inverse ?49) =>= inverse ?49 [49] by Super 2 with 4 at 1,2
Id : 129, {_}: ?343 =<= add (inverse n1) (multiply ?343 n1) [343] by Super 125 with 16 at 1,3
Id : 120, {_}: ?63 =<= add (multiply ?62 (inverse ?62)) (multiply ?63 n1) [62, 63] by Demod 22 with 6 at 2
Id :  14, {_}: multiply ?41 (add (add ?42 ?41) ?43) =>= add ?41 (multiply ?43 ?41) [43, 42, 41] by Super 12 with 2 at 1,3
Id : 150, {_}: ?377 =<= add (inverse n1) (multiply ?377 n1) [377] by Super 125 with 16 at 1,3
Id : 234, {_}: add ?516 n1 =?= add (inverse n1) n1 [516] by Super 150 with 2 at 2,3
Id : 153, {_}: add ?383 n1 =?= add (inverse n1) n1 [383] by Super 150 with 2 at 2,3
Id : 240, {_}: add ?528 n1 =?= add ?529 n1 [529, 528] by Super 234 with 153 at 3
Id : 124, {_}: multiply (multiply ?328 n1) (add ?329 ?328) =<= add (multiply ?329 (multiply ?328 n1)) (multiply ?328 n1) [329, 328] by Super 13 with 120 at 2,2,2
Id :  45, {_}: multiply (multiply ?119 (add ?120 ?121)) (multiply ?121 ?119) =>= multiply ?121 ?119 [121, 120, 119] by Super 2 with 3 at 1,2
Id :  48, {_}: multiply (multiply ?132 n1) (multiply (inverse ?133) ?132) =>= multiply (inverse ?133) ?132 [133, 132] by Super 45 with 4 at 2,1,2
Id :  56, {_}: multiply (inverse ?155) (add ?156 n1) =<= add (multiply ?156 (inverse ?155)) (inverse ?155) [156, 155] by Super 3 with 16 at 2,3
Id :  69, {_}: multiply (inverse ?183) (add ?184 n1) =<= add (multiply ?184 (inverse ?183)) (inverse ?183) [184, 183] by Super 3 with 16 at 2,3
Id :  70, {_}: multiply (inverse ?186) (add (add ?187 (inverse ?186)) n1) =>= add (inverse ?186) (inverse ?186) [187, 186] by Super 69 with 2 at 1,3
Id : 514, {_}: add (inverse ?186) (multiply n1 (inverse ?186)) =>= add (inverse ?186) (inverse ?186) [186] by Demod 70 with 14 at 2
Id :  57, {_}: multiply (inverse ?158) (add n1 ?159) =<= add (inverse ?158) (multiply ?159 (inverse ?158)) [159, 158] by Super 3 with 16 at 1,3
Id : 515, {_}: multiply (inverse ?186) (add n1 n1) =?= add (inverse ?186) (inverse ?186) [186] by Demod 514 with 57 at 2
Id : 165, {_}: multiply (pixley ?406 ?407 ?408) (multiply ?408 (add ?406 (inverse ?407))) =>= multiply ?408 (add ?406 (inverse ?407)) [408, 407, 406] by Super 2 with 19 at 1,2
Id : 1508, {_}: multiply ?2277 (multiply ?2278 (add ?2277 (inverse ?2278))) =>= multiply ?2278 (add ?2277 (inverse ?2278)) [2278, 2277] by Super 165 with 7 at 1,2
Id : 388, {_}: multiply (multiply ?729 n1) (multiply (inverse ?730) ?729) =>= multiply (inverse ?730) ?729 [730, 729] by Super 45 with 4 at 2,1,2
Id : 396, {_}: multiply n1 (multiply (inverse ?752) (add ?753 n1)) =>= multiply (inverse ?752) (add ?753 n1) [753, 752] by Super 388 with 2 at 1,2
Id : 517, {_}: multiply n1 (add (inverse ?924) (inverse ?924)) =>= multiply (inverse ?924) (add n1 n1) [924] by Super 396 with 515 at 2,2
Id : 1514, {_}: multiply (inverse n1) (multiply (inverse n1) (add n1 n1)) =>= multiply n1 (add (inverse n1) (inverse n1)) [] by Super 1508 with 517 at 2,2
Id : 1532, {_}: multiply (inverse n1) (add (inverse n1) (inverse n1)) =>= multiply n1 (add (inverse n1) (inverse n1)) [] by Demod 1514 with 515 at 2,2
Id : 1533, {_}: multiply (inverse n1) (add (inverse n1) (inverse n1)) =>= multiply (inverse n1) (add n1 n1) [] by Demod 1532 with 517 at 3
Id : 1534, {_}: multiply (inverse n1) (add (inverse n1) (inverse n1)) =>= add (inverse n1) (inverse n1) [] by Demod 1533 with 515 at 3
Id : 1547, {_}: pixley (inverse n1) n1 (inverse n1) =<= add (multiply (inverse n1) (inverse n1)) (add (inverse n1) (inverse n1)) [] by Super 19 with 1534 at 2,3
Id : 1558, {_}: inverse n1 =<= add (multiply (inverse n1) (inverse n1)) (add (inverse n1) (inverse n1)) [] by Demod 1547 with 8 at 2
Id : 2318, {_}: multiply (inverse n1) (inverse n1) =<= add (multiply (multiply (inverse n1) (inverse n1)) (inverse n1)) (inverse n1) [] by Super 13 with 1558 at 2,2
Id : 2670, {_}: multiply (inverse n1) (inverse n1) =<= multiply (inverse n1) (add (multiply (inverse n1) (inverse n1)) n1) [] by Demod 2318 with 56 at 3
Id : 2685, {_}: multiply (inverse n1) (inverse n1) =<= multiply (inverse n1) (add ?3417 n1) [3417] by Super 2670 with 240 at 2,3
Id : 2739, {_}: multiply (inverse n1) (inverse n1) =>= add (inverse n1) (inverse n1) [] by Super 515 with 2685 at 2
Id : 2820, {_}: multiply (inverse n1) (add (inverse n1) n1) =<= add (add (inverse n1) (inverse n1)) (inverse n1) [] by Super 56 with 2739 at 1,3
Id : 2807, {_}: add (inverse n1) (inverse n1) =<= multiply (inverse n1) (add ?3417 n1) [3417] by Demod 2685 with 2739 at 2
Id : 2842, {_}: add (inverse n1) (inverse n1) =<= add (add (inverse n1) (inverse n1)) (inverse n1) [] by Demod 2820 with 2807 at 2
Id : 2909, {_}: multiply (inverse n1) (add (inverse n1) (inverse n1)) =>= add (inverse n1) (multiply (inverse n1) (inverse n1)) [] by Super 14 with 2842 at 2,2
Id : 2958, {_}: add (inverse n1) (inverse n1) =<= add (inverse n1) (multiply (inverse n1) (inverse n1)) [] by Demod 2909 with 1534 at 2
Id : 2959, {_}: add (inverse n1) (inverse n1) =<= multiply (inverse n1) (add n1 (inverse n1)) [] by Demod 2958 with 57 at 3
Id : 2960, {_}: add (inverse n1) (inverse n1) =>= multiply (inverse n1) n1 [] by Demod 2959 with 4 at 2,3
Id : 2810, {_}: inverse n1 =<= add (add (inverse n1) (inverse n1)) (add (inverse n1) (inverse n1)) [] by Demod 1558 with 2739 at 1,3
Id : 2999, {_}: inverse n1 =<= add (multiply (inverse n1) n1) (add (inverse n1) (inverse n1)) [] by Demod 2810 with 2960 at 1,3
Id : 3000, {_}: inverse n1 =<= add (multiply (inverse n1) n1) (multiply (inverse n1) n1) [] by Demod 2999 with 2960 at 2,3
Id : 3003, {_}: inverse n1 =<= multiply n1 (add (inverse n1) (inverse n1)) [] by Demod 3000 with 3 at 3
Id : 3004, {_}: inverse n1 =<= multiply (inverse n1) (add n1 n1) [] by Demod 3003 with 517 at 3
Id : 3005, {_}: inverse n1 =<= add (inverse n1) (inverse n1) [] by Demod 3004 with 515 at 3
Id : 3006, {_}: inverse n1 =<= multiply (inverse n1) n1 [] by Demod 3005 with 2960 at 3
Id : 3009, {_}: add (inverse n1) (inverse n1) =>= inverse n1 [] by Demod 2960 with 3006 at 3
Id : 3031, {_}: multiply (inverse n1) (add ?3586 (inverse n1)) =>= add (multiply ?3586 (inverse n1)) (inverse n1) [3586] by Super 13 with 3009 at 2,2,2
Id : 3076, {_}: multiply (inverse n1) (add ?3586 (inverse n1)) =>= multiply (inverse n1) (add ?3586 n1) [3586] by Demod 3031 with 56 at 3
Id : 3001, {_}: multiply (inverse n1) n1 =<= multiply (inverse n1) (add ?3417 n1) [3417] by Demod 2807 with 2960 at 2
Id : 3007, {_}: inverse n1 =<= multiply (inverse n1) (add ?3417 n1) [3417] by Demod 3001 with 3006 at 2
Id : 3077, {_}: multiply (inverse n1) (add ?3586 (inverse n1)) =>= inverse n1 [3586] by Demod 3076 with 3007 at 3
Id : 3239, {_}: multiply (multiply (add ?3714 (inverse n1)) n1) (inverse n1) =>= multiply (inverse n1) (add ?3714 (inverse n1)) [3714] by Super 48 with 3077 at 2,2
Id : 4041, {_}: multiply (multiply (add ?4663 (inverse n1)) n1) (inverse n1) =>= inverse n1 [4663] by Demod 3239 with 3077 at 3
Id : 4052, {_}: multiply (multiply n1 n1) (inverse n1) =>= inverse n1 [] by Super 4041 with 4 at 1,1,2
Id : 4115, {_}: multiply (inverse n1) (add (multiply n1 n1) ?4714) =>= add (inverse n1) (multiply ?4714 (inverse n1)) [4714] by Super 3 with 4052 at 1,3
Id : 4145, {_}: multiply (inverse n1) (add (multiply n1 n1) ?4714) =>= multiply (inverse n1) (add n1 ?4714) [4714] by Demod 4115 with 57 at 3
Id :  24, {_}: pixley (add ?69 (inverse ?70)) ?70 ?71 =<= add (inverse ?70) (multiply ?71 (add (add ?69 (inverse ?70)) (inverse ?70))) [71, 70, 69] by Super 21 with 2 at 1,3
Id : 3026, {_}: pixley (add (inverse n1) (inverse n1)) n1 ?3577 =<= add (inverse n1) (multiply ?3577 (add (inverse n1) (inverse n1))) [3577] by Super 24 with 3009 at 1,2,2,3
Id : 3081, {_}: pixley (inverse n1) n1 ?3577 =<= add (inverse n1) (multiply ?3577 (add (inverse n1) (inverse n1))) [3577] by Demod 3026 with 3009 at 1,2
Id : 3082, {_}: pixley (inverse n1) n1 ?3577 =<= add (inverse n1) (multiply ?3577 (inverse n1)) [3577] by Demod 3081 with 3009 at 2,2,3
Id : 3083, {_}: pixley (inverse n1) n1 ?3577 =<= multiply (inverse n1) (add n1 ?3577) [3577] by Demod 3082 with 57 at 3
Id : 4354, {_}: multiply (inverse n1) (add (multiply n1 n1) ?4904) =>= pixley (inverse n1) n1 ?4904 [4904] by Demod 4145 with 3083 at 3
Id : 4365, {_}: multiply (inverse n1) (multiply n1 (add n1 ?4925)) =>= pixley (inverse n1) n1 (multiply ?4925 n1) [4925] by Super 4354 with 3 at 2,2
Id : 3028, {_}: pixley (inverse n1) n1 ?3581 =<= add (multiply (inverse n1) (inverse n1)) (multiply ?3581 (inverse n1)) [3581] by Super 19 with 3009 at 2,2,3
Id : 3361, {_}: pixley (inverse n1) n1 ?3831 =<= multiply (inverse n1) (add (inverse n1) ?3831) [3831] by Demod 3028 with 3 at 3
Id : 3373, {_}: pixley (inverse n1) n1 (multiply ?3854 n1) =>= multiply (inverse n1) ?3854 [3854] by Super 3361 with 129 at 2,3
Id : 4549, {_}: multiply (inverse n1) (multiply n1 (add n1 ?5063)) =>= multiply (inverse n1) ?5063 [5063] by Demod 4365 with 3373 at 3
Id : 4552, {_}: multiply (inverse n1) (multiply n1 n1) =>= multiply (inverse n1) (inverse n1) [] by Super 4549 with 4 at 2,2,2
Id : 3002, {_}: multiply (inverse n1) (inverse n1) =>= multiply (inverse n1) n1 [] by Demod 2739 with 2960 at 3
Id : 3008, {_}: multiply (inverse n1) (inverse n1) =>= inverse n1 [] by Demod 3002 with 3006 at 3
Id : 4581, {_}: multiply (inverse n1) (multiply n1 n1) =>= inverse n1 [] by Demod 4552 with 3008 at 3
Id : 4604, {_}: multiply (multiply n1 n1) (add (inverse n1) n1) =>= add (inverse n1) (multiply n1 n1) [] by Super 124 with 4581 at 1,3
Id : 697, {_}: multiply (multiply ?1237 n1) (add ?1237 ?1238) =<= add (multiply ?1237 n1) (multiply ?1238 (multiply ?1237 n1)) [1238, 1237] by Super 14 with 120 at 1,2,2
Id : 122, {_}: multiply ?323 (multiply ?323 n1) =>= multiply ?323 n1 [323] by Super 2 with 120 at 1,2
Id : 708, {_}: multiply (multiply ?1267 n1) (add ?1267 ?1267) =>= add (multiply ?1267 n1) (multiply ?1267 n1) [1267] by Super 697 with 122 at 2,3
Id : 756, {_}: multiply (multiply ?1313 n1) (add ?1313 ?1313) =>= multiply n1 (add ?1313 ?1313) [1313] by Demod 708 with 3 at 3
Id : 757, {_}: multiply (multiply n1 n1) (add ?1315 n1) =>= multiply n1 (add n1 n1) [1315] by Super 756 with 240 at 2,2
Id : 4636, {_}: multiply n1 (add n1 n1) =<= add (inverse n1) (multiply n1 n1) [] by Demod 4604 with 757 at 2
Id : 4637, {_}: multiply n1 (add n1 n1) =>= n1 [] by Demod 4636 with 129 at 3
Id : 5191, {_}: multiply (add n1 n1) (add n1 ?5746) =>= add n1 (multiply ?5746 (add n1 n1)) [5746] by Super 3 with 4637 at 1,3
Id : 4823, {_}: multiply n1 (add n1 n1) =>= n1 [] by Demod 4636 with 129 at 3
Id : 4828, {_}: multiply n1 (add ?5443 n1) =>= n1 [5443] by Super 4823 with 240 at 2,2
Id : 4947, {_}: n1 =<= add n1 (multiply n1 n1) [] by Super 14 with 4828 at 2
Id : 5198, {_}: multiply (add n1 n1) n1 =<= add n1 (multiply (multiply n1 n1) (add n1 n1)) [] by Super 5191 with 4947 at 2,2
Id : 5236, {_}: n1 =<= add n1 (multiply (multiply n1 n1) (add n1 n1)) [] by Demod 5198 with 2 at 2
Id : 738, {_}: multiply (multiply ?1267 n1) (add ?1267 ?1267) =>= multiply n1 (add ?1267 ?1267) [1267] by Demod 708 with 3 at 3
Id : 5237, {_}: n1 =<= add n1 (multiply n1 (add n1 n1)) [] by Demod 5236 with 738 at 2,3
Id : 5238, {_}: n1 =<= add n1 n1 [] by Demod 5237 with 4828 at 2,3
Id : 5269, {_}: add ?5790 n1 =>= n1 [5790] by Super 240 with 5238 at 3
Id : 5530, {_}: multiply ?5969 n1 =<= add ?5969 (multiply n1 ?5969) [5969] by Super 14 with 5269 at 2,2
Id : 5251, {_}: multiply n1 (add (inverse ?924) (inverse ?924)) =>= multiply (inverse ?924) n1 [924] by Demod 517 with 5238 at 2,3
Id : 5252, {_}: multiply (inverse ?186) n1 =<= add (inverse ?186) (inverse ?186) [186] by Demod 515 with 5238 at 2,2
Id : 5258, {_}: multiply n1 (multiply (inverse ?924) n1) =>= multiply (inverse ?924) n1 [924] by Demod 5251 with 5252 at 2,2
Id : 5542, {_}: multiply (multiply (inverse ?5992) n1) n1 =<= add (multiply (inverse ?5992) n1) (multiply (inverse ?5992) n1) [5992] by Super 5530 with 5258 at 2,3
Id : 5596, {_}: multiply (multiply (inverse ?5992) n1) n1 =<= multiply n1 (add (inverse ?5992) (inverse ?5992)) [5992] by Demod 5542 with 3 at 3
Id : 5597, {_}: multiply (multiply (inverse ?5992) n1) n1 =>= multiply n1 (multiply (inverse ?5992) n1) [5992] by Demod 5596 with 5252 at 2,3
Id : 5598, {_}: multiply (multiply (inverse ?5992) n1) n1 =>= multiply (inverse ?5992) n1 [5992] by Demod 5597 with 5258 at 3
Id : 5623, {_}: multiply (inverse ?6038) n1 =<= add (multiply ?6039 (inverse ?6039)) (multiply (inverse ?6038) n1) [6039, 6038] by Super 120 with 5598 at 2,3
Id : 5666, {_}: multiply (inverse ?6038) n1 =>= inverse ?6038 [6038] by Demod 5623 with 120 at 3
Id : 5733, {_}: inverse ?6128 =<= add (inverse n1) (inverse ?6128) [6128] by Super 129 with 5666 at 2,3
Id : 5815, {_}: inverse (inverse n1) =>= n1 [] by Super 4 with 5733 at 2
Id : 5900, {_}: pixley ?6277 (inverse n1) ?6278 =<= add (multiply ?6277 (inverse (inverse n1))) (multiply ?6278 (add ?6277 n1)) [6278, 6277] by Super 19 with 5815 at 2,2,2,3
Id : 5965, {_}: pixley ?6277 (inverse n1) ?6278 =<= add (multiply ?6277 n1) (multiply ?6278 (add ?6277 n1)) [6278, 6277] by Demod 5900 with 5815 at 2,1,3
Id : 5966, {_}: pixley ?6277 (inverse n1) ?6278 =<= add (multiply ?6277 n1) (multiply ?6278 n1) [6278, 6277] by Demod 5965 with 5269 at 2,2,3
Id : 5967, {_}: pixley ?6277 (inverse n1) ?6278 =>= multiply n1 (add ?6277 ?6278) [6278, 6277] by Demod 5966 with 3 at 3
Id : 6744, {_}: multiply n1 (add ?7003 (inverse n1)) =>= ?7003 [7003] by Super 7 with 5967 at 2
Id : 6822, {_}: pixley ?7090 n1 n1 =<= add (multiply ?7090 (inverse n1)) ?7090 [7090] by Super 19 with 6744 at 2,3
Id : 6862, {_}: ?7090 =<= add (multiply ?7090 (inverse n1)) ?7090 [7090] by Demod 6822 with 7 at 2
Id : 171, {_}: multiply ?428 (multiply ?429 (add ?428 (inverse ?429))) =>= multiply ?429 (add ?428 (inverse ?429)) [429, 428] by Super 165 with 7 at 1,2
Id : 5910, {_}: multiply ?6301 (multiply (inverse n1) (add ?6301 n1)) =?= multiply (inverse n1) (add ?6301 (inverse (inverse n1))) [6301] by Super 171 with 5815 at 2,2,2,2
Id : 5935, {_}: multiply ?6301 (multiply (inverse n1) n1) =<= multiply (inverse n1) (add ?6301 (inverse (inverse n1))) [6301] by Demod 5910 with 5269 at 2,2,2
Id : 5936, {_}: multiply ?6301 (multiply (inverse n1) n1) =?= multiply (inverse n1) (add ?6301 n1) [6301] by Demod 5935 with 5815 at 2,2,3
Id : 5937, {_}: multiply ?6301 (inverse n1) =<= multiply (inverse n1) (add ?6301 n1) [6301] by Demod 5936 with 5666 at 2,2
Id : 5938, {_}: multiply ?6301 (inverse n1) =?= multiply (inverse n1) n1 [6301] by Demod 5937 with 5269 at 2,3
Id : 5939, {_}: multiply ?6301 (inverse n1) =>= inverse n1 [6301] by Demod 5938 with 5666 at 3
Id : 6863, {_}: ?7090 =<= add (inverse n1) ?7090 [7090] by Demod 6862 with 5939 at 1,3
Id : 7107, {_}: multiply ?7307 (add ?7308 ?7307) =?= add (multiply (inverse n1) ?7307) ?7307 [7308, 7307] by Super 13 with 6863 at 2,2
Id : 7056, {_}: ?343 =<= multiply ?343 n1 [343] by Demod 129 with 6863 at 3
Id : 7072, {_}: multiply ?328 (add ?329 ?328) =<= add (multiply ?329 (multiply ?328 n1)) (multiply ?328 n1) [329, 328] by Demod 124 with 7056 at 1,2
Id : 7073, {_}: multiply ?328 (add ?329 ?328) =<= add (multiply ?329 ?328) (multiply ?328 n1) [329, 328] by Demod 7072 with 7056 at 2,1,3
Id : 7074, {_}: multiply ?328 (add ?329 ?328) =>= add (multiply ?329 ?328) ?328 [329, 328] by Demod 7073 with 7056 at 2,3
Id : 7154, {_}: add (multiply ?7308 ?7307) ?7307 =?= add (multiply (inverse n1) ?7307) ?7307 [7307, 7308] by Demod 7107 with 7074 at 2
Id : 6022, {_}: multiply (inverse n1) (add n1 ?6349) =>= add (inverse n1) (inverse n1) [6349] by Super 57 with 5939 at 2,3
Id : 6051, {_}: pixley (inverse n1) n1 ?6349 =>= add (inverse n1) (inverse n1) [6349] by Demod 6022 with 3083 at 2
Id : 5713, {_}: inverse ?186 =<= add (inverse ?186) (inverse ?186) [186] by Demod 5252 with 5666 at 2
Id : 6052, {_}: pixley (inverse n1) n1 ?6349 =>= inverse n1 [6349] by Demod 6051 with 5713 at 3
Id : 6566, {_}: inverse n1 =<= multiply (inverse n1) ?3854 [3854] by Demod 3373 with 6052 at 2
Id : 7155, {_}: add (multiply ?7308 ?7307) ?7307 =>= add (inverse n1) ?7307 [7307, 7308] by Demod 7154 with 6566 at 1,3
Id : 7156, {_}: add (multiply ?7308 ?7307) ?7307 =>= ?7307 [7307, 7308] by Demod 7155 with 6863 at 3
Id : 10064, {_}: multiply (add ?10693 (add ?10694 ?10695)) (add ?10695 ?10696) =>= add ?10695 (multiply ?10696 (add ?10693 (add ?10694 ?10695))) [10696, 10695, 10694, 10693] by Demod 83 with 7156 at 1,3
Id : 10086, {_}: multiply (add ?10793 ?10794) (add ?10794 ?10795) =<= add ?10794 (multiply ?10795 (add ?10793 (add (multiply ?10796 ?10794) ?10794))) [10796, 10795, 10794, 10793] by Super 10064 with 7156 at 2,1,2
Id : 21988, {_}: multiply (add ?25891 ?25892) (add ?25892 ?25893) =>= add ?25892 (multiply ?25893 (add ?25891 ?25892)) [25893, 25892, 25891] by Demod 10086 with 7156 at 2,2,2,3
Id :  82, {_}: multiply (add ?221 (add ?222 ?223)) (add ?224 ?223) =<= add (multiply ?224 (add ?221 (add ?222 ?223))) (add (multiply ?221 ?223) ?223) [224, 223, 222, 221] by Super 3 with 13 at 2,3
Id : 7886, {_}: multiply (add ?8136 (add ?8137 ?8138)) (add ?8139 ?8138) =>= add (multiply ?8139 (add ?8136 (add ?8137 ?8138))) ?8138 [8139, 8138, 8137, 8136] by Demod 82 with 7156 at 2,3
Id : 7907, {_}: multiply (add ?8232 ?8233) (add ?8234 ?8233) =<= add (multiply ?8234 (add ?8232 (add (multiply ?8235 ?8233) ?8233))) ?8233 [8235, 8234, 8233, 8232] by Super 7886 with 7156 at 2,1,2
Id : 12702, {_}: multiply (add ?13943 ?13944) (add ?13945 ?13944) =>= add (multiply ?13945 (add ?13943 ?13944)) ?13944 [13945, 13944, 13943] by Demod 7907 with 7156 at 2,2,1,3
Id : 12703, {_}: multiply (add ?13947 (inverse ?13948)) n1 =<= add (multiply ?13948 (add ?13947 (inverse ?13948))) (inverse ?13948) [13948, 13947] by Super 12702 with 4 at 2,2
Id : 7482, {_}: add (multiply ?7666 ?7667) ?7667 =>= ?7667 [7667, 7666] by Demod 7155 with 6863 at 3
Id :  11, {_}: multiply (multiply ?29 (add ?30 ?31)) (multiply ?31 ?29) =>= multiply ?31 ?29 [31, 30, 29] by Super 2 with 3 at 1,2
Id : 7484, {_}: add (multiply ?7671 ?7672) (multiply ?7671 ?7672) =>= multiply ?7671 ?7672 [7672, 7671] by Super 7482 with 11 at 1,2
Id : 7527, {_}: multiply ?7672 (add ?7671 ?7671) =>= multiply ?7671 ?7672 [7671, 7672] by Demod 7484 with 3 at 2
Id : 5460, {_}: multiply ?5892 n1 =<= add ?5892 (multiply n1 ?5892) [5892] by Super 14 with 5269 at 2,2
Id : 7058, {_}: ?5892 =<= add ?5892 (multiply n1 ?5892) [5892] by Demod 5460 with 7056 at 2
Id : 5905, {_}: ?6288 =<= add (multiply (inverse n1) n1) (multiply ?6288 n1) [6288] by Super 120 with 5815 at 2,1,3
Id : 5956, {_}: ?6288 =<= multiply n1 (add (inverse n1) ?6288) [6288] by Demod 5905 with 3 at 3
Id : 7054, {_}: ?6288 =<= multiply n1 ?6288 [6288] by Demod 5956 with 6863 at 2,3
Id : 7085, {_}: ?5892 =<= add ?5892 ?5892 [5892] by Demod 7058 with 7054 at 2,3
Id : 7528, {_}: multiply ?7672 ?7671 =?= multiply ?7671 ?7672 [7671, 7672] by Demod 7527 with 7085 at 2,2
Id : 12798, {_}: multiply n1 (add ?13947 (inverse ?13948)) =<= add (multiply ?13948 (add ?13947 (inverse ?13948))) (inverse ?13948) [13948, 13947] by Demod 12703 with 7528 at 2
Id : 7111, {_}: pixley (inverse n1) ?7316 ?7317 =<= add (multiply (inverse n1) (inverse ?7316)) (multiply ?7317 (inverse ?7316)) [7317, 7316] by Super 19 with 6863 at 2,2,3
Id : 7149, {_}: pixley (inverse n1) ?7316 ?7317 =<= multiply (inverse ?7316) (add (inverse n1) ?7317) [7317, 7316] by Demod 7111 with 3 at 3
Id : 7150, {_}: pixley (inverse n1) ?7316 ?7317 =>= multiply (inverse ?7316) ?7317 [7317, 7316] by Demod 7149 with 6863 at 2,3
Id : 7307, {_}: multiply (inverse ?7459) ?7459 =>= inverse n1 [7459] by Super 7 with 7150 at 2
Id : 7381, {_}: multiply ?7560 (add ?7561 (inverse ?7560)) =>= add (multiply ?7561 ?7560) (inverse n1) [7561, 7560] by Super 3 with 7307 at 2,3
Id : 7086, {_}: add ?7003 (inverse n1) =>= ?7003 [7003] by Demod 6744 with 7054 at 2
Id : 7408, {_}: multiply ?7560 (add ?7561 (inverse ?7560)) =>= multiply ?7561 ?7560 [7561, 7560] by Demod 7381 with 7086 at 3
Id : 12799, {_}: multiply n1 (add ?13947 (inverse ?13948)) =?= add (multiply ?13947 ?13948) (inverse ?13948) [13948, 13947] by Demod 12798 with 7408 at 1,3
Id : 12931, {_}: add ?14243 (inverse ?14244) =<= add (multiply ?14243 ?14244) (inverse ?14244) [14244, 14243] by Demod 12799 with 7054 at 2
Id : 13237, {_}: add ?14685 (inverse ?14686) =<= add (multiply ?14686 ?14685) (inverse ?14686) [14686, 14685] by Super 12931 with 7528 at 1,3
Id : 7116, {_}: multiply (inverse n1) (multiply ?7330 (inverse ?7330)) =?= multiply ?7330 (add (inverse n1) (inverse ?7330)) [7330] by Super 171 with 6863 at 2,2,2
Id : 7138, {_}: inverse n1 =<= multiply ?7330 (add (inverse n1) (inverse ?7330)) [7330] by Demod 7116 with 6566 at 2
Id : 7139, {_}: inverse n1 =<= multiply ?7330 (inverse ?7330) [7330] by Demod 7138 with 6863 at 2,3
Id : 7194, {_}: multiply (inverse ?7378) (add ?7378 ?7379) =?= add (inverse n1) (multiply ?7379 (inverse ?7378)) [7379, 7378] by Super 3 with 7139 at 1,3
Id : 7235, {_}: multiply (inverse ?7378) (add ?7378 ?7379) =>= multiply ?7379 (inverse ?7378) [7379, 7378] by Demod 7194 with 6863 at 3
Id : 13247, {_}: add (add ?14714 ?14715) (inverse (inverse ?14714)) =<= add (multiply ?14715 (inverse ?14714)) (inverse (inverse ?14714)) [14715, 14714] by Super 13237 with 7235 at 1,3
Id :  55, {_}: pixley n1 ?152 ?153 =<= add (inverse ?152) (multiply ?153 (add n1 (inverse ?152))) [153, 152] by Super 19 with 16 at 1,3
Id : 8471, {_}: pixley n1 ?8796 ?8796 =<= add (inverse ?8796) (multiply n1 ?8796) [8796] by Super 55 with 7408 at 2,3
Id : 8513, {_}: n1 =<= add (inverse ?8796) (multiply n1 ?8796) [8796] by Demod 8471 with 7 at 2
Id : 8514, {_}: n1 =<= add (inverse ?8796) ?8796 [8796] by Demod 8513 with 7054 at 2,3
Id : 8605, {_}: pixley (inverse (inverse ?8923)) ?8923 ?8924 =<= add (multiply (inverse (inverse ?8923)) (inverse ?8923)) (multiply ?8924 n1) [8924, 8923] by Super 19 with 8514 at 2,2,3
Id : 8634, {_}: pixley (inverse (inverse ?8923)) ?8923 ?8924 =>= add (inverse n1) (multiply ?8924 n1) [8924, 8923] by Demod 8605 with 7307 at 1,3
Id : 8635, {_}: pixley (inverse (inverse ?8923)) ?8923 ?8924 =>= add (inverse n1) ?8924 [8924, 8923] by Demod 8634 with 7056 at 2,3
Id : 8636, {_}: pixley (inverse (inverse ?8923)) ?8923 ?8924 =>= ?8924 [8924, 8923] by Demod 8635 with 6863 at 3
Id : 9901, {_}: ?10439 =<= inverse (inverse ?10439) [10439] by Super 7 with 8636 at 2
Id : 13343, {_}: add (add ?14714 ?14715) ?14714 =<= add (multiply ?14715 (inverse ?14714)) (inverse (inverse ?14714)) [14715, 14714] by Demod 13247 with 9901 at 2,2
Id : 12800, {_}: add ?13947 (inverse ?13948) =<= add (multiply ?13947 ?13948) (inverse ?13948) [13948, 13947] by Demod 12799 with 7054 at 2
Id : 13344, {_}: add (add ?14714 ?14715) ?14714 =>= add ?14715 (inverse (inverse ?14714)) [14715, 14714] by Demod 13343 with 12800 at 3
Id : 7191, {_}: multiply (inverse ?7370) (add n1 ?7370) =>= add (inverse ?7370) (inverse n1) [7370] by Super 57 with 7139 at 2,3
Id : 7240, {_}: multiply (inverse ?7370) (add n1 ?7370) =>= inverse ?7370 [7370] by Demod 7191 with 7086 at 3
Id : 7565, {_}: add (inverse ?7779) (add n1 ?7779) =>= add n1 ?7779 [7779] by Super 7156 with 7240 at 1,2
Id : 7922, {_}: multiply (add n1 ?8304) (add ?8305 ?8304) =<= add (multiply ?8305 (add (inverse ?8304) (add n1 ?8304))) ?8304 [8305, 8304] by Super 7886 with 7565 at 1,2
Id : 11103, {_}: multiply (add n1 ?12014) (add ?12015 ?12014) =>= add (multiply ?12015 (add n1 ?12014)) ?12014 [12015, 12014] by Demod 7922 with 7565 at 2,1,3
Id : 11119, {_}: multiply (add n1 ?12057) n1 =<= add (multiply (inverse ?12057) (add n1 ?12057)) ?12057 [12057] by Super 11103 with 8514 at 2,2
Id : 11245, {_}: multiply n1 (add n1 ?12057) =<= add (multiply (inverse ?12057) (add n1 ?12057)) ?12057 [12057] by Demod 11119 with 7528 at 2
Id : 7193, {_}: multiply (inverse ?7375) (add ?7376 ?7375) =?= add (multiply ?7376 (inverse ?7375)) (inverse n1) [7376, 7375] by Super 3 with 7139 at 2,3
Id : 7234, {_}: multiply (inverse ?7375) (add ?7376 ?7375) =>= multiply ?7376 (inverse ?7375) [7376, 7375] by Demod 7193 with 7086 at 3
Id : 11246, {_}: multiply n1 (add n1 ?12057) =<= add (multiply n1 (inverse ?12057)) ?12057 [12057] by Demod 11245 with 7234 at 1,3
Id : 121, {_}: multiply (multiply ?320 n1) (add ?320 ?321) =<= add (multiply ?320 n1) (multiply ?321 (multiply ?320 n1)) [321, 320] by Super 14 with 120 at 1,2,2
Id : 7069, {_}: multiply ?320 (add ?320 ?321) =<= add (multiply ?320 n1) (multiply ?321 (multiply ?320 n1)) [321, 320] by Demod 121 with 7056 at 1,2
Id : 7070, {_}: multiply ?320 (add ?320 ?321) =<= add ?320 (multiply ?321 (multiply ?320 n1)) [321, 320] by Demod 7069 with 7056 at 1,3
Id : 7071, {_}: multiply ?320 (add ?320 ?321) =>= add ?320 (multiply ?321 ?320) [321, 320] by Demod 7070 with 7056 at 2,2,3
Id : 11247, {_}: add n1 (multiply ?12057 n1) =<= add (multiply n1 (inverse ?12057)) ?12057 [12057] by Demod 11246 with 7071 at 2
Id : 11248, {_}: add n1 (multiply ?12057 n1) =?= add (inverse ?12057) ?12057 [12057] by Demod 11247 with 7054 at 1,3
Id : 11249, {_}: add n1 ?12057 =<= add (inverse ?12057) ?12057 [12057] by Demod 11248 with 7056 at 2,2
Id : 11250, {_}: add n1 ?12057 =>= n1 [12057] by Demod 11249 with 8514 at 3
Id : 11338, {_}: multiply ?12157 (add n1 ?12158) =?= add ?12157 (multiply ?12158 ?12157) [12158, 12157] by Super 14 with 11250 at 1,2,2
Id : 11388, {_}: multiply ?12157 n1 =<= add ?12157 (multiply ?12158 ?12157) [12158, 12157] by Demod 11338 with 11250 at 2,2
Id : 11466, {_}: ?12291 =<= add ?12291 (multiply ?12292 ?12291) [12292, 12291] by Demod 11388 with 7056 at 2
Id : 11389, {_}: ?12157 =<= add ?12157 (multiply ?12158 ?12157) [12158, 12157] by Demod 11388 with 7056 at 2
Id : 11443, {_}: multiply ?320 (add ?320 ?321) =>= ?320 [321, 320] by Demod 7071 with 11389 at 3
Id : 11487, {_}: add ?12367 ?12368 =<= add (add ?12367 ?12368) ?12367 [12368, 12367] by Super 11466 with 11443 at 2,3
Id : 13345, {_}: add ?14714 ?14715 =<= add ?14715 (inverse (inverse ?14714)) [14715, 14714] by Demod 13344 with 11487 at 2
Id : 13346, {_}: add ?14714 ?14715 =?= add ?14715 ?14714 [14715, 14714] by Demod 13345 with 9901 at 2,3
Id : 22037, {_}: multiply (add ?26083 ?26084) (add ?26083 ?26085) =>= add ?26083 (multiply ?26085 (add ?26084 ?26083)) [26085, 26084, 26083] by Super 21988 with 13346 at 1,2
Id : 7988, {_}: multiply (add ?8232 ?8233) (add ?8234 ?8233) =>= add (multiply ?8234 (add ?8232 ?8233)) ?8233 [8234, 8233, 8232] by Demod 7907 with 7156 at 2,2,1,3
Id : 17754, {_}: multiply (add ?8232 ?8233) (add ?8234 ?8233) =>= add ?8233 (multiply ?8234 (add ?8232 ?8233)) [8234, 8233, 8232] by Demod 7988 with 13346 at 3
Id : 17781, {_}: multiply (add ?20198 ?20199) (add ?20200 ?20198) =>= add ?20198 (multiply ?20200 (add ?20199 ?20198)) [20200, 20199, 20198] by Super 17754 with 13346 at 1,2
Id : 12739, {_}: multiply (add ?14084 ?14085) (add ?14086 ?14084) =<= add (multiply ?14086 (add (add ?14084 ?14085) ?14084)) ?14084 [14086, 14085, 14084] by Super 12702 with 11487 at 1,2
Id : 12881, {_}: multiply (add ?14084 ?14085) (add ?14086 ?14084) =>= add (multiply ?14086 (add ?14084 ?14085)) ?14084 [14086, 14085, 14084] by Demod 12739 with 11487 at 2,1,3
Id : 27122, {_}: multiply (add ?14084 ?14085) (add ?14086 ?14084) =>= add ?14084 (multiply ?14086 (add ?14084 ?14085)) [14086, 14085, 14084] by Demod 12881 with 13346 at 3
Id : 27541, {_}: add ?20198 (multiply ?20200 (add ?20198 ?20199)) =?= add ?20198 (multiply ?20200 (add ?20199 ?20198)) [20199, 20200, 20198] by Demod 17781 with 27122 at 2
Id : 10192, {_}: multiply (add ?10793 ?10794) (add ?10794 ?10795) =>= add ?10794 (multiply ?10795 (add ?10793 ?10794)) [10795, 10794, 10793] by Demod 10086 with 7156 at 2,2,2,3
Id : 21968, {_}: multiply (add ?25807 ?25808) (add ?25809 ?25807) =>= add ?25807 (multiply ?25808 (add ?25809 ?25807)) [25809, 25808, 25807] by Super 7528 with 10192 at 3
Id : 30393, {_}: add ?41129 (multiply ?41130 (add ?41129 ?41131)) =?= add ?41129 (multiply ?41131 (add ?41130 ?41129)) [41131, 41130, 41129] by Demod 21968 with 27122 at 2
Id : 11441, {_}: multiply ?41 (add (add ?42 ?41) ?43) =>= ?41 [43, 42, 41] by Demod 14 with 11389 at 3
Id : 11444, {_}: multiply (multiply ?12210 ?12211) (add ?12211 ?12212) =>= multiply ?12210 ?12211 [12212, 12211, 12210] by Super 11441 with 11389 at 1,2,2
Id : 30454, {_}: add ?41381 (multiply ?41382 (add ?41381 (multiply ?41383 ?41382))) =>= add ?41381 (multiply ?41383 ?41382) [41383, 41382, 41381] by Super 30393 with 11444 at 2,3
Id : 12736, {_}: multiply ?14072 (add ?14073 (multiply ?14074 ?14072)) =<= add (multiply ?14073 (add ?14072 (multiply ?14074 ?14072))) (multiply ?14074 ?14072) [14074, 14073, 14072] by Super 12702 with 11389 at 1,2
Id : 12876, {_}: multiply ?14072 (add ?14073 (multiply ?14074 ?14072)) =>= add (multiply ?14073 ?14072) (multiply ?14074 ?14072) [14074, 14073, 14072] by Demod 12736 with 11389 at 2,1,3
Id : 12877, {_}: multiply ?14072 (add ?14073 (multiply ?14074 ?14072)) =>= multiply ?14072 (add ?14073 ?14074) [14074, 14073, 14072] by Demod 12876 with 3 at 3
Id : 30743, {_}: add ?41381 (multiply ?41382 (add ?41381 ?41383)) =>= add ?41381 (multiply ?41383 ?41382) [41383, 41382, 41381] by Demod 30454 with 12877 at 2,2
Id : 47985, {_}: add ?20198 (multiply ?20199 ?20200) =<= add ?20198 (multiply ?20200 (add ?20199 ?20198)) [20200, 20199, 20198] by Demod 27541 with 30743 at 2
Id : 47993, {_}: multiply (add ?26083 ?26084) (add ?26083 ?26085) =>= add ?26083 (multiply ?26084 ?26085) [26085, 26084, 26083] by Demod 22037 with 47985 at 3
Id : 48482, {_}: add a (multiply b c) =?= add a (multiply b c) [] by Demod 1 with 47993 at 3
Id :   1, {_}: add a (multiply b c) =<= multiply (add a b) (add a c) [] by prove_add_multiply_property
% SZS output end CNFRefutation for BOO023-1.p
1833: solved BOO023-1.p in 13.804862 using kbo
!! infer_left                                     301    0.0004    0.0000    0.0000
!! infer_right                                    268   43.7454    1.5701    0.1632
!! simplify_goal                                  301    0.5943    0.3008    0.0020
!! keep_simplified                                682   10.3284    0.4195    0.0151
!! simplification_step                            884   10.3246    0.3169    0.0117
!! simplify                                     49748   46.3014    0.3566    0.0009
!! orphan_murder                                  865    0.3503    0.3003    0.0004
!! is_subsumed                                  43199    3.2497    0.3002    0.0001
!! build_new_clause                             26531    2.4646    0.3010    0.0001
!! demodulate                                   49301   42.5539    0.3565    0.0009
!! demod                                       320428   37.5001    0.3122    0.0001
!! demod.apply_subst                           632676    4.0731    0.3035    0.0000
!! demod.compare_terms                         291861   12.1699    0.3082    0.0000
!! demod.retrieve_generalizations              320428    7.3973    0.3121    0.0000
!! demod.unify                                 609084    5.7336    0.3003    0.0000
!! build_clause                                 54348    2.9194    0.3010    0.0001
!! compare_terms(kbo)                          353603   12.3627    0.3082    0.0000
!! compare_terms(nrkbo)                             8    0.0001    0.0000    0.0000
1860: Facts:
1860:  Id :   2, {_}:
          add ?2 (multiply ?3 (multiply ?2 ?4)) =>= ?2
          [4, 3, 2] by l1 ?2 ?3 ?4
1860:  Id :   3, {_}:
          add (add (multiply ?6 ?7) (multiply ?7 ?8)) ?7 =>= ?7
          [8, 7, 6] by l3 ?6 ?7 ?8
1860:  Id :   4, {_}:
          multiply (add ?10 ?11) (add ?10 (inverse ?11)) =>= ?10
          [11, 10] by b1 ?10 ?11
1860:  Id :   5, {_}:
          multiply (add (multiply ?13 ?14) ?13) (add ?13 ?14) =>= ?13
          [14, 13] by majority1 ?13 ?14
1860:  Id :   6, {_}:
          multiply (add (multiply ?16 ?16) ?17) (add ?16 ?16) =>= ?16
          [17, 16] by majority2 ?16 ?17
1860:  Id :   7, {_}:
          multiply (add (multiply ?19 ?20) ?20) (add ?19 ?20) =>= ?20
          [20, 19] by majority3 ?19 ?20
1860: Goal:
1860:  Id :   1, {_}: inverse (inverse a) =>= a [] by prove_inverse_involution
% SZS status Timeout for BOO030-1.p
1917: Facts:
1917:  Id :   2, {_}:
          add (multiply ?2 ?3) (add (multiply ?3 ?4) (multiply ?4 ?2))
          =>=
          multiply (add ?2 ?3) (multiply (add ?3 ?4) (add ?4 ?2))
          [4, 3, 2] by distributivity ?2 ?3 ?4
1917:  Id :   3, {_}:
          add ?6 (multiply ?7 (multiply ?6 ?8)) =>= ?6
          [8, 7, 6] by l1 ?6 ?7 ?8
1917:  Id :   4, {_}:
          add (add (multiply ?10 ?11) (multiply ?11 ?12)) ?11 =>= ?11
          [12, 11, 10] by l3 ?10 ?11 ?12
1917:  Id :   5, {_}:
          multiply (add ?14 (inverse ?14)) ?15 =>= ?15
          [15, 14] by property3 ?14 ?15
1917:  Id :   6, {_}:
          multiply ?17 (add ?18 (add ?17 ?19)) =>= ?17
          [19, 18, 17] by l2 ?17 ?18 ?19
1917:  Id :   7, {_}:
          multiply (multiply (add ?21 ?22) (add ?22 ?23)) ?22 =>= ?22
          [23, 22, 21] by l4 ?21 ?22 ?23
1917:  Id :   8, {_}:
          add (multiply ?25 (inverse ?25)) ?26 =>= ?26
          [26, 25] by property3_dual ?25 ?26
1917:  Id :   9, {_}: add ?28 (inverse ?28) =>= n1 [28] by additive_inverse ?28
1917:  Id :  10, {_}:
          multiply ?30 (inverse ?30) =>= n0
          [30] by multiplicative_inverse ?30
1917:  Id :  11, {_}:
          add (add ?32 ?33) ?34 =?= add ?32 (add ?33 ?34)
          [34, 33, 32] by associativity_of_add ?32 ?33 ?34
1917:  Id :  12, {_}:
          multiply (multiply ?36 ?37) ?38 =?= multiply ?36 (multiply ?37 ?38)
          [38, 37, 36] by associativity_of_multiply ?36 ?37 ?38
1917: Goal:
1917:  Id :   1, {_}:
          multiply a (add b c) =<= add (multiply b a) (multiply c a)
          [] by prove_multiply_add_property
Statistics :
Max weight : 29
Found proof, 26.527372s
% SZS status Unsatisfiable for BOO031-1.p
% SZS output start CNFRefutation for BOO031-1.p
Id :  10, {_}: multiply ?30 (inverse ?30) =>= n0 [30] by multiplicative_inverse ?30
Id :   7, {_}: multiply (multiply (add ?21 ?22) (add ?22 ?23)) ?22 =>= ?22 [23, 22, 21] by l4 ?21 ?22 ?23
Id :  12, {_}: multiply (multiply ?36 ?37) ?38 =>= multiply ?36 (multiply ?37 ?38) [38, 37, 36] by associativity_of_multiply ?36 ?37 ?38
Id :  52, {_}: multiply (multiply (add ?189 ?190) (add ?190 ?191)) ?190 =>= ?190 [191, 190, 189] by l4 ?189 ?190 ?191
Id :   9, {_}: add ?28 (inverse ?28) =>= n1 [28] by additive_inverse ?28
Id :   5, {_}: multiply (add ?14 (inverse ?14)) ?15 =>= ?15 [15, 14] by property3 ?14 ?15
Id :   2, {_}: add (multiply ?2 ?3) (add (multiply ?3 ?4) (multiply ?4 ?2)) =>= multiply (add ?2 ?3) (multiply (add ?3 ?4) (add ?4 ?2)) [4, 3, 2] by distributivity ?2 ?3 ?4
Id :  18, {_}: add (add (multiply ?58 ?59) (multiply ?59 ?60)) ?59 =>= ?59 [60, 59, 58] by l3 ?58 ?59 ?60
Id :  11, {_}: add (add ?32 ?33) ?34 =>= add ?32 (add ?33 ?34) [34, 33, 32] by associativity_of_add ?32 ?33 ?34
Id :   4, {_}: add (add (multiply ?10 ?11) (multiply ?11 ?12)) ?11 =>= ?11 [12, 11, 10] by l3 ?10 ?11 ?12
Id :  37, {_}: multiply ?128 (add ?129 (add ?128 ?130)) =>= ?128 [130, 129, 128] by l2 ?128 ?129 ?130
Id :   6, {_}: multiply ?17 (add ?18 (add ?17 ?19)) =>= ?17 [19, 18, 17] by l2 ?17 ?18 ?19
Id :   3, {_}: add ?6 (multiply ?7 (multiply ?6 ?8)) =>= ?6 [8, 7, 6] by l1 ?6 ?7 ?8
Id :  35, {_}: add ?121 (multiply ?122 ?121) =>= ?121 [122, 121] by Super 3 with 6 at 2,2,2
Id :  42, {_}: multiply ?149 (add ?149 ?150) =>= ?149 [150, 149] by Super 37 with 4 at 2,2
Id : 1142, {_}: add (add ?1694 ?1695) ?1694 =>= add ?1694 ?1695 [1695, 1694] by Super 35 with 42 at 2,2
Id : 1169, {_}: add ?1694 (add ?1695 ?1694) =>= add ?1694 ?1695 [1695, 1694] by Demod 1142 with 11 at 2
Id :  19, {_}: add (multiply ?62 ?63) ?63 =>= ?63 [63, 62] by Super 18 with 3 at 1,2
Id :  39, {_}: multiply ?137 (add ?138 ?137) =>= ?137 [138, 137] by Super 37 with 3 at 2,2,2
Id : 758, {_}: add ?1224 (add ?1225 ?1224) =>= add ?1225 ?1224 [1225, 1224] by Super 19 with 39 at 1,2
Id : 2086, {_}: add ?1695 ?1694 =?= add ?1694 ?1695 [1694, 1695] by Demod 1169 with 758 at 2
Id :  32, {_}: add (multiply (add ?106 (add ?107 ?108)) ?109) (add (multiply ?109 ?107) ?107) =<= multiply (add (add ?106 (add ?107 ?108)) ?109) (multiply (add ?109 ?107) (add ?107 (add ?106 (add ?107 ?108)))) [109, 108, 107, 106] by Super 2 with 6 at 2,2,2
Id : 4660, {_}: add (multiply (add ?106 (add ?107 ?108)) ?109) (add ?107 (multiply ?109 ?107)) =<= multiply (add (add ?106 (add ?107 ?108)) ?109) (multiply (add ?109 ?107) (add ?107 (add ?106 (add ?107 ?108)))) [109, 108, 107, 106] by Demod 32 with 2086 at 2,2
Id : 4661, {_}: add (multiply (add ?106 (add ?107 ?108)) ?109) (add ?107 (multiply ?109 ?107)) =<= multiply (add ?106 (add (add ?107 ?108) ?109)) (multiply (add ?109 ?107) (add ?107 (add ?106 (add ?107 ?108)))) [109, 108, 107, 106] by Demod 4660 with 11 at 1,3
Id : 325, {_}: add (multiply ?689 ?690) ?690 =>= ?690 [690, 689] by Super 18 with 3 at 1,2
Id : 326, {_}: add ?692 (add ?693 (add ?692 ?694)) =>= add ?693 (add ?692 ?694) [694, 693, 692] by Super 325 with 6 at 1,2
Id : 4662, {_}: add (multiply (add ?106 (add ?107 ?108)) ?109) (add ?107 (multiply ?109 ?107)) =<= multiply (add ?106 (add (add ?107 ?108) ?109)) (multiply (add ?109 ?107) (add ?106 (add ?107 ?108))) [109, 108, 107, 106] by Demod 4661 with 326 at 2,2,3
Id : 4663, {_}: add (multiply (add ?106 (add ?107 ?108)) ?109) ?107 =<= multiply (add ?106 (add (add ?107 ?108) ?109)) (multiply (add ?109 ?107) (add ?106 (add ?107 ?108))) [109, 108, 107, 106] by Demod 4662 with 35 at 2,2
Id : 4664, {_}: add (multiply (add ?106 (add ?107 ?108)) ?109) ?107 =<= multiply (add ?106 (add ?107 (add ?108 ?109))) (multiply (add ?109 ?107) (add ?106 (add ?107 ?108))) [109, 108, 107, 106] by Demod 4663 with 11 at 2,1,3
Id : 4688, {_}: add ?6057 (multiply (add ?6058 (add ?6057 ?6059)) ?6060) =<= multiply (add ?6058 (add ?6057 (add ?6059 ?6060))) (multiply (add ?6060 ?6057) (add ?6058 (add ?6057 ?6059))) [6060, 6059, 6058, 6057] by Demod 4664 with 2086 at 2
Id :  79, {_}: multiply n1 ?15 =>= ?15 [15] by Demod 5 with 9 at 1,2
Id : 329, {_}: add ?702 ?702 =>= ?702 [702] by Super 325 with 79 at 1,2
Id : 4720, {_}: add ?6221 (multiply (add (add ?6221 ?6222) (add ?6221 ?6222)) ?6223) =<= multiply (add (add ?6221 ?6222) (add ?6221 (add ?6222 ?6223))) (multiply (add ?6223 ?6221) (add ?6221 ?6222)) [6223, 6222, 6221] by Super 4688 with 329 at 2,2,3
Id : 5030, {_}: add ?6221 (multiply (add ?6221 (add ?6222 (add ?6221 ?6222))) ?6223) =<= multiply (add (add ?6221 ?6222) (add ?6221 (add ?6222 ?6223))) (multiply (add ?6223 ?6221) (add ?6221 ?6222)) [6223, 6222, 6221] by Demod 4720 with 11 at 1,2,2
Id : 1217, {_}: multiply (add ?1822 ?1823) ?1823 =>= ?1823 [1823, 1822] by Super 52 with 6 at 1,2
Id : 1224, {_}: multiply ?1844 (multiply ?1845 ?1844) =>= multiply ?1845 ?1844 [1845, 1844] by Super 1217 with 35 at 1,2
Id : 760, {_}: multiply ?1230 (add ?1231 ?1230) =>= ?1230 [1231, 1230] by Super 37 with 3 at 2,2,2
Id :  22, {_}: add ?71 (multiply ?71 ?72) =>= ?71 [72, 71] by Super 3 with 5 at 2,2
Id : 766, {_}: multiply (multiply ?1249 ?1250) ?1249 =>= multiply ?1249 ?1250 [1250, 1249] by Super 760 with 22 at 2,2
Id : 793, {_}: multiply ?1249 (multiply ?1250 ?1249) =>= multiply ?1249 ?1250 [1250, 1249] by Demod 766 with 12 at 2
Id : 2186, {_}: multiply ?1844 ?1845 =?= multiply ?1845 ?1844 [1845, 1844] by Demod 1224 with 793 at 2
Id : 5031, {_}: add ?6221 (multiply (add ?6221 (add ?6222 (add ?6221 ?6222))) ?6223) =<= multiply (multiply (add ?6223 ?6221) (add ?6221 ?6222)) (add (add ?6221 ?6222) (add ?6221 (add ?6222 ?6223))) [6223, 6222, 6221] by Demod 5030 with 2186 at 3
Id : 5032, {_}: add ?6221 (multiply (add ?6222 (add ?6221 ?6222)) ?6223) =<= multiply (multiply (add ?6223 ?6221) (add ?6221 ?6222)) (add (add ?6221 ?6222) (add ?6221 (add ?6222 ?6223))) [6223, 6222, 6221] by Demod 5031 with 326 at 1,2,2
Id : 5033, {_}: add ?6221 (multiply (add ?6222 (add ?6221 ?6222)) ?6223) =<= multiply (add ?6223 ?6221) (multiply (add ?6221 ?6222) (add (add ?6221 ?6222) (add ?6221 (add ?6222 ?6223)))) [6223, 6222, 6221] by Demod 5032 with 12 at 3
Id : 5034, {_}: add ?6221 (multiply (add ?6221 ?6222) ?6223) =<= multiply (add ?6223 ?6221) (multiply (add ?6221 ?6222) (add (add ?6221 ?6222) (add ?6221 (add ?6222 ?6223)))) [6223, 6222, 6221] by Demod 5033 with 758 at 1,2,2
Id : 11398, {_}: add ?15526 (multiply (add ?15526 ?15527) ?15528) =>= multiply (add ?15528 ?15526) (add ?15526 ?15527) [15528, 15527, 15526] by Demod 5034 with 42 at 2,3
Id : 13942, {_}: add ?18812 (multiply (add ?18813 ?18812) ?18814) =>= multiply (add ?18814 ?18812) (add ?18812 ?18813) [18814, 18813, 18812] by Super 11398 with 2086 at 1,2,2
Id : 15243, {_}: add ?20523 (multiply ?20524 (add ?20525 ?20523)) =>= multiply (add ?20524 ?20523) (add ?20523 ?20525) [20525, 20524, 20523] by Super 13942 with 2186 at 2,2
Id : 15249, {_}: add (multiply ?20549 ?20550) (multiply ?20551 ?20550) =<= multiply (add ?20551 (multiply ?20549 ?20550)) (add (multiply ?20549 ?20550) ?20550) [20551, 20550, 20549] by Super 15243 with 35 at 2,2,2
Id : 11411, {_}: add ?15576 (multiply (add ?15577 ?15576) ?15578) =<= multiply (add ?15578 ?15576) (add ?15576 (add ?15577 ?15576)) [15578, 15577, 15576] by Super 11398 with 758 at 1,2,2
Id : 11561, {_}: add ?15576 (multiply (add ?15577 ?15576) ?15578) =>= multiply (add ?15578 ?15576) (add ?15577 ?15576) [15578, 15577, 15576] by Demod 11411 with 758 at 2,3
Id : 11415, {_}: add ?15594 (multiply (add ?15595 ?15594) ?15596) =>= multiply (add ?15596 ?15594) (add ?15594 ?15595) [15596, 15595, 15594] by Super 11398 with 2086 at 1,2,2
Id : 14660, {_}: multiply (add ?15578 ?15576) (add ?15576 ?15577) =?= multiply (add ?15578 ?15576) (add ?15577 ?15576) [15577, 15576, 15578] by Demod 11561 with 11415 at 2
Id : 15422, {_}: add (multiply ?20549 ?20550) (multiply ?20551 ?20550) =<= multiply (add ?20551 (multiply ?20549 ?20550)) (add ?20550 (multiply ?20549 ?20550)) [20551, 20550, 20549] by Demod 15249 with 14660 at 3
Id : 15423, {_}: add (multiply ?20549 ?20550) (multiply ?20551 ?20550) =>= multiply (add ?20551 (multiply ?20549 ?20550)) ?20550 [20551, 20550, 20549] by Demod 15422 with 35 at 2,3
Id : 15424, {_}: add (multiply ?20549 ?20550) (multiply ?20551 ?20550) =>= multiply ?20550 (add ?20551 (multiply ?20549 ?20550)) [20551, 20550, 20549] by Demod 15423 with 2186 at 3
Id : 13947, {_}: add (multiply ?18834 ?18835) (multiply ?18834 ?18836) =<= multiply (add ?18836 (multiply ?18834 ?18835)) (add (multiply ?18834 ?18835) ?18834) [18836, 18835, 18834] by Super 13942 with 22 at 1,2,2
Id : 14110, {_}: add (multiply ?18834 ?18835) (multiply ?18834 ?18836) =<= multiply (add ?18836 (multiply ?18834 ?18835)) (add ?18834 (multiply ?18834 ?18835)) [18836, 18835, 18834] by Demod 13947 with 2086 at 2,3
Id : 14111, {_}: add (multiply ?18834 ?18835) (multiply ?18834 ?18836) =>= multiply (add ?18836 (multiply ?18834 ?18835)) ?18834 [18836, 18835, 18834] by Demod 14110 with 22 at 2,3
Id : 15661, {_}: add (multiply ?20991 ?20992) (multiply ?20991 ?20993) =>= multiply ?20991 (add ?20993 (multiply ?20991 ?20992)) [20993, 20992, 20991] by Demod 14111 with 2186 at 3
Id : 15712, {_}: add (multiply ?21207 ?21208) (multiply ?21208 ?21209) =>= multiply ?21208 (add ?21209 (multiply ?21208 ?21207)) [21209, 21208, 21207] by Super 15661 with 2186 at 1,2
Id : 13948, {_}: add (multiply ?18838 ?18839) (multiply ?18839 ?18840) =<= multiply (add ?18840 (multiply ?18838 ?18839)) (add (multiply ?18838 ?18839) ?18839) [18840, 18839, 18838] by Super 13942 with 35 at 1,2,2
Id : 14113, {_}: add (multiply ?18838 ?18839) (multiply ?18839 ?18840) =<= multiply (add ?18840 (multiply ?18838 ?18839)) (add ?18839 (multiply ?18838 ?18839)) [18840, 18839, 18838] by Demod 13948 with 2086 at 2,3
Id : 14114, {_}: add (multiply ?18838 ?18839) (multiply ?18839 ?18840) =>= multiply (add ?18840 (multiply ?18838 ?18839)) ?18839 [18840, 18839, 18838] by Demod 14113 with 35 at 2,3
Id : 14115, {_}: add (multiply ?18838 ?18839) (multiply ?18839 ?18840) =>= multiply ?18839 (add ?18840 (multiply ?18838 ?18839)) [18840, 18839, 18838] by Demod 14114 with 2186 at 3
Id : 17950, {_}: multiply ?21208 (add ?21209 (multiply ?21207 ?21208)) =?= multiply ?21208 (add ?21209 (multiply ?21208 ?21207)) [21207, 21209, 21208] by Demod 15712 with 14115 at 2
Id : 16606, {_}: add (multiply ?22260 ?22261) (multiply ?22262 ?22260) =>= multiply ?22260 (add ?22261 (multiply ?22262 ?22260)) [22262, 22261, 22260] by Super 2086 with 14115 at 3
Id : 15248, {_}: add (multiply ?20545 ?20546) (multiply ?20547 ?20545) =<= multiply (add ?20547 (multiply ?20545 ?20546)) (add (multiply ?20545 ?20546) ?20545) [20547, 20546, 20545] by Super 15243 with 22 at 2,2,2
Id : 15419, {_}: add (multiply ?20545 ?20546) (multiply ?20547 ?20545) =<= multiply (add ?20547 (multiply ?20545 ?20546)) (add ?20545 (multiply ?20545 ?20546)) [20547, 20546, 20545] by Demod 15248 with 14660 at 3
Id : 15420, {_}: add (multiply ?20545 ?20546) (multiply ?20547 ?20545) =>= multiply (add ?20547 (multiply ?20545 ?20546)) ?20545 [20547, 20546, 20545] by Demod 15419 with 22 at 2,3
Id : 15421, {_}: add (multiply ?20545 ?20546) (multiply ?20547 ?20545) =>= multiply ?20545 (add ?20547 (multiply ?20545 ?20546)) [20547, 20546, 20545] by Demod 15420 with 2186 at 3
Id : 18553, {_}: multiply ?25006 (add ?25007 (multiply ?25006 ?25008)) =?= multiply ?25006 (add ?25008 (multiply ?25007 ?25006)) [25008, 25007, 25006] by Demod 16606 with 15421 at 2
Id : 19629, {_}: multiply ?26411 (add (multiply ?26411 ?26412) ?26413) =>= multiply ?26411 (add ?26412 (multiply ?26413 ?26411)) [26413, 26412, 26411] by Super 18553 with 2086 at 2,2
Id : 16573, {_}: add (multiply ?2 ?3) (multiply ?4 (add ?2 (multiply ?3 ?4))) =>= multiply (add ?2 ?3) (multiply (add ?3 ?4) (add ?4 ?2)) [4, 3, 2] by Demod 2 with 14115 at 2,2
Id : 19695, {_}: multiply ?26703 (multiply (add ?26703 ?26704) (multiply (add ?26704 ?26705) (add ?26705 ?26703))) =<= multiply ?26703 (add ?26704 (multiply (multiply ?26705 (add ?26703 (multiply ?26704 ?26705))) ?26703)) [26705, 26704, 26703] by Super 19629 with 16573 at 2,2
Id : 1139, {_}: multiply ?1683 ?1684 =<= multiply ?1683 (multiply (add ?1683 ?1685) ?1684) [1685, 1684, 1683] by Super 12 with 42 at 1,2
Id : 20009, {_}: multiply ?26703 (multiply (add ?26704 ?26705) (add ?26705 ?26703)) =<= multiply ?26703 (add ?26704 (multiply (multiply ?26705 (add ?26703 (multiply ?26704 ?26705))) ?26703)) [26705, 26704, 26703] by Demod 19695 with 1139 at 2
Id : 20010, {_}: multiply ?26703 (multiply (add ?26704 ?26705) (add ?26705 ?26703)) =<= multiply ?26703 (add ?26704 (multiply ?26703 (multiply ?26705 (add ?26703 (multiply ?26704 ?26705))))) [26705, 26704, 26703] by Demod 20009 with 17950 at 3
Id :  15, {_}: add (multiply (multiply (multiply ?48 ?49) ?50) ?48) (multiply ?48 ?49) =<= multiply (add (multiply (multiply ?48 ?49) ?50) ?48) (multiply (add ?48 ?49) (add ?49 (multiply (multiply ?48 ?49) ?50))) [50, 49, 48] by Super 2 with 3 at 2,2
Id : 163, {_}: add (multiply (multiply ?48 ?49) (multiply ?50 ?48)) (multiply ?48 ?49) =<= multiply (add (multiply (multiply ?48 ?49) ?50) ?48) (multiply (add ?48 ?49) (add ?49 (multiply (multiply ?48 ?49) ?50))) [50, 49, 48] by Demod 15 with 12 at 1,2
Id : 164, {_}: add (multiply (multiply ?48 ?49) (multiply ?50 ?48)) (multiply ?48 ?49) =<= multiply (add (multiply ?48 (multiply ?49 ?50)) ?48) (multiply (add ?48 ?49) (add ?49 (multiply (multiply ?48 ?49) ?50))) [50, 49, 48] by Demod 163 with 12 at 1,1,3
Id : 165, {_}: add (multiply (multiply ?48 ?49) (multiply ?50 ?48)) (multiply ?48 ?49) =<= multiply (add (multiply ?48 (multiply ?49 ?50)) ?48) (multiply (add ?48 ?49) (add ?49 (multiply ?48 (multiply ?49 ?50)))) [50, 49, 48] by Demod 164 with 12 at 2,2,2,3
Id : 166, {_}: add (multiply ?48 (multiply ?49 (multiply ?50 ?48))) (multiply ?48 ?49) =<= multiply (add (multiply ?48 (multiply ?49 ?50)) ?48) (multiply (add ?48 ?49) (add ?49 (multiply ?48 (multiply ?49 ?50)))) [50, 49, 48] by Demod 165 with 12 at 1,2
Id : 167, {_}: add (multiply ?48 (multiply ?49 (multiply ?50 ?48))) (multiply ?48 ?49) =<= multiply (add (multiply ?48 (multiply ?49 ?50)) ?48) (multiply (add ?48 ?49) ?49) [50, 49, 48] by Demod 166 with 3 at 2,2,3
Id : 130, {_}: multiply (add ?21 ?22) (multiply (add ?22 ?23) ?22) =>= ?22 [23, 22, 21] by Demod 7 with 12 at 2
Id :  89, {_}: n0 =<= inverse n1 [] by Super 79 with 10 at 2
Id : 243, {_}: add n1 n0 =>= n1 [] by Super 9 with 89 at 2,2
Id : 264, {_}: multiply n1 (add ?616 n1) =>= n1 [616] by Super 6 with 243 at 2,2,2
Id : 276, {_}: add ?616 n1 =>= n1 [616] by Demod 264 with 79 at 2
Id : 287, {_}: multiply ?632 (add ?633 n1) =>= ?632 [633, 632] by Super 6 with 276 at 2,2,2
Id : 305, {_}: multiply ?632 n1 =>= ?632 [632] by Demod 287 with 276 at 2,2
Id : 387, {_}: multiply (add ?766 n1) (add n1 ?767) =>= n1 [767, 766] by Super 130 with 305 at 2,2
Id : 421, {_}: multiply n1 (add n1 ?767) =>= n1 [767] by Demod 387 with 276 at 1,2
Id : 422, {_}: add n1 ?767 =>= n1 [767] by Demod 421 with 79 at 2
Id : 476, {_}: add (multiply n1 (multiply ?861 (multiply ?862 n1))) (multiply n1 ?861) =>= multiply (add (multiply n1 (multiply ?861 ?862)) n1) (multiply n1 ?861) [862, 861] by Super 167 with 422 at 1,2,3
Id : 487, {_}: add (multiply ?861 (multiply ?862 n1)) (multiply n1 ?861) =<= multiply (add (multiply n1 (multiply ?861 ?862)) n1) (multiply n1 ?861) [862, 861] by Demod 476 with 79 at 1,2
Id : 488, {_}: add (multiply ?861 (multiply ?862 n1)) ?861 =<= multiply (add (multiply n1 (multiply ?861 ?862)) n1) (multiply n1 ?861) [862, 861] by Demod 487 with 79 at 2,2
Id : 489, {_}: add (multiply ?861 (multiply ?862 n1)) ?861 =>= multiply n1 (multiply n1 ?861) [862, 861] by Demod 488 with 276 at 1,3
Id : 490, {_}: add (multiply ?861 (multiply ?862 n1)) ?861 =>= multiply n1 ?861 [862, 861] by Demod 489 with 79 at 2,3
Id : 491, {_}: add (multiply ?861 ?862) ?861 =>= multiply n1 ?861 [862, 861] by Demod 490 with 305 at 2,1,2
Id : 492, {_}: add (multiply ?861 ?862) ?861 =>= ?861 [862, 861] by Demod 491 with 79 at 3
Id : 1289, {_}: multiply (multiply ?1889 ?1890) (add ?1891 ?1889) =>= multiply ?1889 ?1890 [1891, 1890, 1889] by Super 6 with 492 at 2,2,2
Id : 1322, {_}: multiply ?1889 (multiply ?1890 (add ?1891 ?1889)) =>= multiply ?1889 ?1890 [1891, 1890, 1889] by Demod 1289 with 12 at 2
Id : 20011, {_}: multiply ?26703 (add ?26704 ?26705) =<= multiply ?26703 (add ?26704 (multiply ?26703 (multiply ?26705 (add ?26703 (multiply ?26704 ?26705))))) [26705, 26704, 26703] by Demod 20010 with 1322 at 2
Id : 670, {_}: add ?1060 ?1061 =<= add ?1060 (add (multiply ?1060 ?1062) ?1061) [1062, 1061, 1060] by Super 11 with 22 at 1,2
Id : 4482, {_}: multiply (multiply ?5675 ?5676) (add ?5675 ?5677) =>= multiply ?5675 ?5676 [5677, 5676, 5675] by Super 6 with 670 at 2,2
Id : 4588, {_}: multiply ?5675 (multiply ?5676 (add ?5675 ?5677)) =>= multiply ?5675 ?5676 [5677, 5676, 5675] by Demod 4482 with 12 at 2
Id : 20012, {_}: multiply ?26703 (add ?26704 ?26705) =<= multiply ?26703 (add ?26704 (multiply ?26703 ?26705)) [26705, 26704, 26703] by Demod 20011 with 4588 at 2,2,3
Id : 20081, {_}: multiply ?21208 (add ?21209 (multiply ?21207 ?21208)) =>= multiply ?21208 (add ?21209 ?21207) [21207, 21209, 21208] by Demod 17950 with 20012 at 3
Id : 20086, {_}: add (multiply ?20549 ?20550) (multiply ?20551 ?20550) =>= multiply ?20550 (add ?20551 ?20549) [20551, 20550, 20549] by Demod 15424 with 20081 at 3
Id : 20397, {_}: multiply a (add c b) =?= multiply a (add c b) [] by Demod 20396 with 2086 at 2,3
Id : 20396, {_}: multiply a (add c b) =?= multiply a (add b c) [] by Demod 20395 with 20086 at 3
Id : 20395, {_}: multiply a (add c b) =<= add (multiply c a) (multiply b a) [] by Demod 20394 with 2086 at 3
Id : 20394, {_}: multiply a (add c b) =<= add (multiply b a) (multiply c a) [] by Demod 1 with 2086 at 2,2
Id :   1, {_}: multiply a (add b c) =<= add (multiply b a) (multiply c a) [] by prove_multiply_add_property
% SZS output end CNFRefutation for BOO031-1.p
1918: solved BOO031-1.p in 5.320332 using kbo
!! infer_left                                     157    0.0002    0.0000    0.0000
!! infer_right                                    100   24.0993    2.0611    0.2410
!! simplify_goal                                  157    0.4373    0.4007    0.0028
!! keep_simplified                                384    1.9419    0.4103    0.0051
!! simplification_step                            449    1.9406    0.4051    0.0043
!! simplify                                     13481   24.3524    0.5018    0.0018
!! orphan_murder                                  384    0.0107    0.0001    0.0000
!! is_subsumed                                  11223    1.4112    0.4004    0.0001
!! build_new_clause                              8759    1.5287    0.4002    0.0002
!! demodulate                                   13353   22.9307    0.5017    0.0017
!! demod                                        95274   20.6602    0.5003    0.0002
!! demod.apply_subst                           296942    2.5813    0.4003    0.0000
!! demod.compare_terms                         136754    7.9453    0.4483    0.0001
!! demod.retrieve_generalizations               95274    1.9479    0.4003    0.0000
!! demod.unify                                 310624    3.7532    0.5001    0.0000
!! build_clause                                 22174    1.6538    0.4002    0.0001
!! compare_terms(kbo)                          161227    6.7842    0.4483    0.0000
!! compare_terms(nrkbo)                            12    0.0001    0.0000    0.0000
1934: Facts:
1934:  Id :   2, {_}:
          add ?2 (multiply ?3 (multiply ?2 ?4)) =>= ?2
          [4, 3, 2] by l1 ?2 ?3 ?4
1934:  Id :   3, {_}:
          add (add (multiply ?6 ?7) (multiply ?7 ?8)) ?7 =>= ?7
          [8, 7, 6] by l3 ?6 ?7 ?8
1934:  Id :   4, {_}:
          multiply (add ?10 (inverse ?10)) ?11 =>= ?11
          [11, 10] by property3 ?10 ?11
1934:  Id :   5, {_}:
          multiply ?13 (add ?14 (add ?13 ?15)) =>= ?13
          [15, 14, 13] by l2 ?13 ?14 ?15
1934:  Id :   6, {_}:
          multiply (multiply (add ?17 ?18) (add ?18 ?19)) ?18 =>= ?18
          [19, 18, 17] by l4 ?17 ?18 ?19
1934:  Id :   7, {_}:
          add (multiply ?21 (inverse ?21)) ?22 =>= ?22
          [22, 21] by property3_dual ?21 ?22
1934:  Id :   8, {_}:
          add (multiply (add ?24 ?25) ?24) (multiply ?24 ?25) =>= ?24
          [25, 24] by majority1 ?24 ?25
1934:  Id :   9, {_}:
          add (multiply (add ?27 ?27) ?28) (multiply ?27 ?27) =>= ?27
          [28, 27] by majority2 ?27 ?28
1934:  Id :  10, {_}:
          add (multiply (add ?30 ?31) ?31) (multiply ?30 ?31) =>= ?31
          [31, 30] by majority3 ?30 ?31
1934:  Id :  11, {_}:
          multiply (add (multiply ?33 ?34) ?33) (add ?33 ?34) =>= ?33
          [34, 33] by majority1_dual ?33 ?34
1934:  Id :  12, {_}:
          multiply (add (multiply ?36 ?36) ?37) (add ?36 ?36) =>= ?36
          [37, 36] by majority2_dual ?36 ?37
1934:  Id :  13, {_}:
          multiply (add (multiply ?39 ?40) ?40) (add ?39 ?40) =>= ?40
          [40, 39] by majority3_dual ?39 ?40
1934: Goal:
1934:  Id :   1, {_}: inverse (inverse a) =>= a [] by prove_inverse_involution
% SZS status Timeout for BOO032-1.p
1987: Facts:
1987:  Id :   2, {_}:
          add (multiply ?2 ?3) (add (multiply ?3 ?4) (multiply ?4 ?2))
          =<=
          multiply (add ?2 ?3) (multiply (add ?3 ?4) (add ?4 ?2))
          [4, 3, 2] by distributivity ?2 ?3 ?4
1987:  Id :   3, {_}:
          add ?6 (multiply ?7 (multiply ?6 ?8)) =>= ?6
          [8, 7, 6] by l1 ?6 ?7 ?8
1987:  Id :   4, {_}:
          add (add (multiply ?10 ?11) (multiply ?11 ?12)) ?11 =>= ?11
          [12, 11, 10] by l3 ?10 ?11 ?12
1987:  Id :   5, {_}:
          multiply (add ?14 (inverse ?14)) ?15 =>= ?15
          [15, 14] by property3 ?14 ?15
1987:  Id :   6, {_}:
          multiply (add (multiply ?17 ?18) ?17) (add ?17 ?18) =>= ?17
          [18, 17] by majority1 ?17 ?18
1987:  Id :   7, {_}:
          multiply (add (multiply ?20 ?20) ?21) (add ?20 ?20) =>= ?20
          [21, 20] by majority2 ?20 ?21
1987:  Id :   8, {_}:
          multiply (add (multiply ?23 ?24) ?24) (add ?23 ?24) =>= ?24
          [24, 23] by majority3 ?23 ?24
1987: Goal:
1987:  Id :   1, {_}: inverse (inverse a) =>= a [] by prove_inverse_involution
% SZS status Timeout for BOO033-1.p
2022: Facts:
2022:  Id :   2, {_}:
          multiply (multiply ?2 ?3 ?4) ?5 (multiply ?2 ?3 ?6)
          =>=
          multiply ?2 ?3 (multiply ?4 ?5 ?6)
          [6, 5, 4, 3, 2] by associativity ?2 ?3 ?4 ?5 ?6
2022:  Id :   3, {_}: multiply ?8 ?9 ?9 =>= ?9 [9, 8] by ternary_multiply_1 ?8 ?9
2022:  Id :   4, {_}:
          multiply ?11 ?11 ?12 =>= ?11
          [12, 11] by ternary_multiply_2 ?11 ?12
2022:  Id :   5, {_}:
          multiply (inverse ?14) ?14 ?15 =>= ?15
          [15, 14] by left_inverse ?14 ?15
2022:  Id :   6, {_}:
          multiply ?17 ?18 (inverse ?18) =>= ?17
          [18, 17] by right_inverse ?17 ?18
2022: Goal:
2022:  Id :   1, {_}:
          multiply (multiply a (inverse a) b)
            (inverse (multiply (multiply c d e) f (multiply c d g)))
            (multiply d (multiply g f e) c)
          =>=
          b
          [] by prove_single_axiom
Statistics :
Max weight : 24
Found proof, 9.461485s
% SZS status Unsatisfiable for BOO034-1.p
% SZS output start CNFRefutation for BOO034-1.p
Id :   5, {_}: multiply (inverse ?14) ?14 ?15 =>= ?15 [15, 14] by left_inverse ?14 ?15
Id :   4, {_}: multiply ?11 ?11 ?12 =>= ?11 [12, 11] by ternary_multiply_2 ?11 ?12
Id :   6, {_}: multiply ?17 ?18 (inverse ?18) =>= ?17 [18, 17] by right_inverse ?17 ?18
Id :   3, {_}: multiply ?8 ?9 ?9 =>= ?9 [9, 8] by ternary_multiply_1 ?8 ?9
Id :   2, {_}: multiply (multiply ?2 ?3 ?4) ?5 (multiply ?2 ?3 ?6) =>= multiply ?2 ?3 (multiply ?4 ?5 ?6) [6, 5, 4, 3, 2] by associativity ?2 ?3 ?4 ?5 ?6
Id : 911, {_}: multiply ?2944 ?2945 (multiply ?2946 ?2944 ?2947) =?= multiply ?2946 ?2944 (multiply ?2944 ?2945 ?2947) [2947, 2946, 2945, 2944] by Super 2 with 3 at 1,2
Id : 950, {_}: multiply ?3142 ?3143 ?3144 =<= multiply ?3144 ?3142 (multiply ?3142 ?3143 (inverse ?3142)) [3144, 3143, 3142] by Super 911 with 6 at 3,2
Id :  12, {_}: multiply (multiply ?48 ?49 ?50) ?51 ?49 =?= multiply ?48 ?49 (multiply ?50 ?51 ?49) [51, 50, 49, 48] by Super 2 with 3 at 3,2
Id :  13, {_}: multiply ?53 ?54 (multiply ?55 ?53 ?56) =?= multiply ?55 ?53 (multiply ?53 ?54 ?56) [56, 55, 54, 53] by Super 2 with 3 at 1,2
Id : 903, {_}: multiply (multiply ?2906 ?2907 ?2908) ?2906 ?2907 =?= multiply ?2908 ?2906 (multiply ?2906 ?2907 ?2907) [2908, 2907, 2906] by Super 12 with 13 at 3
Id : 1657, {_}: multiply (multiply ?4591 ?4592 ?4593) ?4591 ?4592 =>= multiply ?4593 ?4591 ?4592 [4593, 4592, 4591] by Demod 903 with 3 at 3,3
Id : 518, {_}: multiply (multiply ?1782 ?1783 ?1784) ?1785 ?1783 =?= multiply ?1782 ?1783 (multiply ?1784 ?1785 ?1783) [1785, 1784, 1783, 1782] by Super 2 with 3 at 3,2
Id : 641, {_}: multiply (multiply ?2137 ?2138 ?2139) ?2139 ?2138 =>= multiply ?2137 ?2138 ?2139 [2139, 2138, 2137] by Super 518 with 4 at 3,3
Id : 646, {_}: multiply ?2156 (inverse ?2157) ?2157 =?= multiply ?2156 ?2157 (inverse ?2157) [2157, 2156] by Super 641 with 6 at 1,2
Id : 684, {_}: multiply ?2156 (inverse ?2157) ?2157 =>= ?2156 [2157, 2156] by Demod 646 with 6 at 3
Id : 1669, {_}: multiply ?4646 ?4646 (inverse ?4647) =?= multiply ?4647 ?4646 (inverse ?4647) [4647, 4646] by Super 1657 with 684 at 1,2
Id : 1718, {_}: ?4646 =<= multiply ?4647 ?4646 (inverse ?4647) [4647, 4646] by Demod 1669 with 4 at 2
Id : 6901, {_}: multiply ?3142 ?3143 ?3144 =?= multiply ?3144 ?3142 ?3143 [3144, 3143, 3142] by Demod 950 with 1718 at 3,3
Id : 547, {_}: multiply ?1934 ?1935 ?1936 =<= multiply ?1934 ?1936 (multiply (inverse ?1936) ?1935 ?1936) [1936, 1935, 1934] by Super 518 with 6 at 1,2
Id : 1662, {_}: multiply ?4610 ?4610 ?4611 =?= multiply (inverse ?4611) ?4610 ?4611 [4611, 4610] by Super 1657 with 6 at 1,2
Id : 1716, {_}: ?4610 =<= multiply (inverse ?4611) ?4610 ?4611 [4611, 4610] by Demod 1662 with 4 at 2
Id : 5327, {_}: multiply ?1934 ?1935 ?1936 =<->= multiply ?1934 ?1936 ?1935 [1936, 1935, 1934] by Demod 547 with 1716 at 3,3
Id : 711, {_}: inverse (inverse ?2298) =>= ?2298 [2298] by Super 5 with 684 at 2
Id : 745, {_}: multiply ?2389 (inverse ?2389) ?2390 =>= ?2390 [2390, 2389] by Super 5 with 711 at 1,2
Id : 7385, {_}: b === b [] by Demod 7384 with 684 at 2
Id : 7384, {_}: multiply b (inverse (multiply c d (multiply e f g))) (multiply c d (multiply e f g)) =>= b [] by Demod 7383 with 5327 at 3,3,2
Id : 7383, {_}: multiply b (inverse (multiply c d (multiply e f g))) (multiply c d (multiply e g f)) =>= b [] by Demod 7382 with 6901 at 3,3,2
Id : 7382, {_}: multiply b (inverse (multiply c d (multiply e f g))) (multiply c d (multiply f e g)) =>= b [] by Demod 7381 with 5327 at 3,3,2
Id : 7381, {_}: multiply b (inverse (multiply c d (multiply e f g))) (multiply c d (multiply f g e)) =>= b [] by Demod 7380 with 6901 at 3,3,2
Id : 7380, {_}: multiply b (inverse (multiply c d (multiply e f g))) (multiply c d (multiply g e f)) =>= b [] by Demod 7379 with 5327 at 3,3,2
Id : 7379, {_}: multiply b (inverse (multiply c d (multiply e f g))) (multiply c d (multiply g f e)) =>= b [] by Demod 7378 with 5327 at 3,2
Id : 7378, {_}: multiply b (inverse (multiply c d (multiply e f g))) (multiply c (multiply g f e) d) =>= b [] by Demod 7377 with 6901 at 3,2
Id : 7377, {_}: multiply b (inverse (multiply c d (multiply e f g))) (multiply d c (multiply g f e)) =>= b [] by Demod 7376 with 5327 at 2
Id : 7376, {_}: multiply b (multiply d c (multiply g f e)) (inverse (multiply c d (multiply e f g))) =>= b [] by Demod 7375 with 6901 at 2
Id : 7375, {_}: multiply (inverse (multiply c d (multiply e f g))) b (multiply d c (multiply g f e)) =>= b [] by Demod 7374 with 5327 at 3,2
Id : 7374, {_}: multiply (inverse (multiply c d (multiply e f g))) b (multiply d (multiply g f e) c) =>= b [] by Demod 7373 with 745 at 2,2
Id : 7373, {_}: multiply (inverse (multiply c d (multiply e f g))) (multiply a (inverse a) b) (multiply d (multiply g f e) c) =>= b [] by Demod 7372 with 5327 at 2
Id : 7372, {_}: multiply (inverse (multiply c d (multiply e f g))) (multiply d (multiply g f e) c) (multiply a (inverse a) b) =>= b [] by Demod 11 with 6901 at 2
Id :  11, {_}: multiply (multiply a (inverse a) b) (inverse (multiply c d (multiply e f g))) (multiply d (multiply g f e) c) =>= b [] by Demod 1 with 2 at 1,2,2
Id :   1, {_}: multiply (multiply a (inverse a) b) (inverse (multiply (multiply c d e) f (multiply c d g))) (multiply d (multiply g f e) c) =>= b [] by prove_single_axiom
% SZS output end CNFRefutation for BOO034-1.p
2022: solved BOO034-1.p in 1.936121 using nrkbo
!! infer_left                                      78    0.0001    0.0000    0.0000
!! infer_right                                     48    9.3027    1.4515    0.1938
!! simplify_goal                                   78    0.0409    0.0045    0.0005
!! keep_simplified                                 69    0.0985    0.0224    0.0014
!! simplification_step                             72    0.0983    0.0103    0.0014
!! simplify                                      5045    7.4867    0.4027    0.0015
!! orphan_murder                                   69    0.0008    0.0000    0.0000
!! is_subsumed                                   3272    1.0387    0.4004    0.0003
!! build_new_clause                              3866    1.4054    0.4009    0.0004
!! demodulate                                    4777    6.4718    0.4025    0.0014
!! demod                                        29450    5.1585    0.4005    0.0002
!! demod.apply_subst                            26158    0.0623    0.0003    0.0000
!! demod.compare_terms                           9540    0.5661    0.4001    0.0001
!! demod.retrieve_generalizations               29450    1.7470    0.4001    0.0001
!! demod.unify                                 161416    2.1523    0.4003    0.0000
!! build_clause                                  7487    1.4082    0.4007    0.0002
!! compare_terms(nrkbo)                         18688    1.0780    0.4002    0.0001
!! compare_terms(nrkbo)                             6    0.0001    0.0000    0.0000
2030: Facts:
2030:  Id :   2, {_}:
          inverse
            (add (inverse (add (inverse (add ?2 ?3)) ?4))
              (inverse
                (add ?2 (inverse (add (inverse ?4) (inverse (add ?4 ?5)))))))
          =>=
          ?4
          [5, 4, 3, 2] by dn1 ?2 ?3 ?4 ?5
2030: Goal:
2030:  Id :   1, {_}: add b a =<= add a b [] by huntinton_1
Statistics :
Max weight : 29
Found proof, 4.721715s
% SZS status Unsatisfiable for BOO072-1.p
% SZS output start CNFRefutation for BOO072-1.p
Id :   3, {_}: inverse (add (inverse (add (inverse (add ?7 ?8)) ?9)) (inverse (add ?7 (inverse (add (inverse ?9) (inverse (add ?9 ?10))))))) =>= ?9 [10, 9, 8, 7] by dn1 ?7 ?8 ?9 ?10
Id :   2, {_}: inverse (add (inverse (add (inverse (add ?2 ?3)) ?4)) (inverse (add ?2 (inverse (add (inverse ?4) (inverse (add ?4 ?5))))))) =>= ?4 [5, 4, 3, 2] by dn1 ?2 ?3 ?4 ?5
Id :  15, {_}: inverse (add (inverse (add (inverse (add (inverse (add (inverse (add (inverse (inverse ?74)) ?75)) ?74)) ?76)) (inverse ?74))) ?74) =>= inverse ?74 [76, 75, 74] by Super 3 with 2 at 2,1,2
Id :  20, {_}: inverse (add (inverse (add ?104 (inverse ?104))) ?104) =>= inverse ?104 [104] by Super 15 with 2 at 1,1,1,1,2
Id :  34, {_}: inverse (add (inverse ?125) (inverse (add ?125 (inverse (add (inverse ?125) (inverse (add ?125 ?126))))))) =>= ?125 [126, 125] by Super 2 with 20 at 1,1,2
Id :  55, {_}: inverse (add (inverse (add (inverse (add ?177 ?178)) ?179)) (inverse (add ?177 ?179))) =>= ?179 [179, 178, 177] by Super 2 with 34 at 2,1,2,1,2
Id : 129, {_}: inverse (add (inverse (add (inverse (add ?380 ?381)) ?382)) (inverse (add ?380 ?382))) =>= ?382 [382, 381, 380] by Super 2 with 34 at 2,1,2,1,2
Id : 139, {_}: inverse (add (inverse (add ?423 ?424)) (inverse (add (inverse ?423) ?424))) =>= ?424 [424, 423] by Super 129 with 34 at 1,1,1,1,2
Id : 173, {_}: inverse (add ?519 (inverse (add ?520 (inverse (add (inverse ?520) ?519))))) =>= inverse (add (inverse ?520) ?519) [520, 519] by Super 55 with 139 at 1,1,2
Id : 339, {_}: inverse (add (inverse ?868) (inverse (add ?868 (inverse (add (inverse ?868) (inverse ?868)))))) =>= ?868 [868] by Super 34 with 173 at 2,1,2,1,2
Id : 388, {_}: inverse (add (inverse ?868) (inverse ?868)) =>= ?868 [868] by Demod 339 with 173 at 2
Id : 174, {_}: inverse (add (inverse (add ?522 ?523)) (inverse (add (inverse ?522) ?523))) =>= ?523 [523, 522] by Super 129 with 34 at 1,1,1,1,2
Id :  59, {_}: inverse (add (inverse ?193) (inverse (add ?193 (inverse (add (inverse ?193) (inverse (add ?193 ?194))))))) =>= ?193 [194, 193] by Super 2 with 20 at 1,1,2
Id :  68, {_}: inverse (add (inverse ?226) (inverse (add ?226 ?226))) =>= ?226 [226] by Super 59 with 34 at 2,1,2,1,2
Id : 187, {_}: inverse (add (inverse (add ?573 (inverse (add ?573 ?573)))) ?573) =>= inverse (add ?573 ?573) [573] by Super 174 with 68 at 2,1,2
Id : 207, {_}: inverse (add (inverse (add ?609 ?609)) (inverse (add ?609 ?609))) =>= ?609 [609] by Super 55 with 187 at 1,1,2
Id : 416, {_}: add ?609 ?609 =>= ?609 [609] by Demod 207 with 388 at 2
Id : 425, {_}: inverse (inverse ?868) =>= ?868 [868] by Demod 388 with 416 at 1,2
Id : 432, {_}: inverse (add (inverse (add (inverse ?1023) ?1024)) (inverse (add ?1023 ?1024))) =>= ?1024 [1024, 1023] by Super 139 with 425 at 1,1,2,1,2
Id : 1000, {_}: inverse (add ?1842 (inverse (add (inverse ?1843) (inverse (add ?1843 ?1842))))) =>= inverse (add ?1843 ?1842) [1843, 1842] by Super 55 with 432 at 1,1,2
Id : 2933, {_}: inverse (inverse (add ?4434 ?4435)) =<= add ?4435 (inverse (add (inverse ?4434) (inverse (add ?4434 ?4435)))) [4435, 4434] by Super 425 with 1000 at 1,2
Id : 3023, {_}: add ?4434 ?4435 =<= add ?4435 (inverse (add (inverse ?4434) (inverse (add ?4434 ?4435)))) [4435, 4434] by Demod 2933 with 425 at 2
Id : 5778, {_}: inverse (add ?7760 (inverse (add (inverse (add ?7761 ?7762)) (inverse (add ?7761 ?7760))))) =>= inverse (add ?7761 ?7760) [7762, 7761, 7760] by Super 129 with 55 at 1,1,2
Id : 439, {_}: inverse (inverse ?1046) =>= ?1046 [1046] by Demod 388 with 416 at 1,2
Id : 445, {_}: inverse (inverse (add (inverse ?1065) ?1066)) =<= add ?1066 (inverse (add ?1065 (inverse (add (inverse ?1065) ?1066)))) [1066, 1065] by Super 439 with 173 at 1,2
Id : 457, {_}: add (inverse ?1065) ?1066 =<= add ?1066 (inverse (add ?1065 (inverse (add (inverse ?1065) ?1066)))) [1066, 1065] by Demod 445 with 425 at 2
Id : 5837, {_}: inverse (add (inverse (add (inverse ?7995) (inverse (add ?7995 ?7996)))) (inverse (add (inverse ?7995) (inverse (add ?7995 ?7996))))) =>= inverse (add ?7995 (inverse (add (inverse ?7995) (inverse (add ?7995 ?7996))))) [7996, 7995] by Super 5778 with 457 at 1,2,1,2
Id : 5990, {_}: inverse (inverse (add (inverse ?7995) (inverse (add ?7995 ?7996)))) =<= inverse (add ?7995 (inverse (add (inverse ?7995) (inverse (add ?7995 ?7996))))) [7996, 7995] by Demod 5837 with 416 at 1,2
Id : 5991, {_}: add (inverse ?7995) (inverse (add ?7995 ?7996)) =<= inverse (add ?7995 (inverse (add (inverse ?7995) (inverse (add ?7995 ?7996))))) [7996, 7995] by Demod 5990 with 425 at 2
Id : 6004, {_}: inverse (add (inverse ?125) (add (inverse ?125) (inverse (add ?125 ?126)))) =>= ?125 [126, 125] by Demod 34 with 5991 at 2,1,2
Id :   6, {_}: inverse (add (inverse (add (inverse (add (inverse (add (inverse (add (inverse (inverse ?26)) ?27)) ?26)) ?28)) (inverse ?26))) ?26) =>= inverse ?26 [28, 27, 26] by Super 3 with 2 at 2,1,2
Id : 426, {_}: inverse (add (inverse (add (inverse (add (inverse (add (inverse (add ?26 ?27)) ?26)) ?28)) (inverse ?26))) ?26) =>= inverse ?26 [28, 27, 26] by Demod 6 with 425 at 1,1,1,1,1,1,1,1,1,1,2
Id : 249, {_}: inverse (add ?713 (inverse (add ?713 (inverse (add ?713 ?713))))) =>= inverse (add ?713 ?713) [713] by Super 55 with 207 at 1,1,2
Id : 417, {_}: inverse (add ?713 (inverse (add ?713 (inverse ?713)))) =>= inverse (add ?713 ?713) [713] by Demod 249 with 416 at 1,2,1,2,1,2
Id : 418, {_}: inverse (add ?713 (inverse (add ?713 (inverse ?713)))) =>= inverse ?713 [713] by Demod 417 with 416 at 1,3
Id : 446, {_}: inverse (inverse ?1068) =<= add ?1068 (inverse (add ?1068 (inverse ?1068))) [1068] by Super 439 with 418 at 1,2
Id : 458, {_}: ?1068 =<= add ?1068 (inverse (add ?1068 (inverse ?1068))) [1068] by Demod 446 with 425 at 2
Id : 507, {_}: inverse (add (inverse (add (inverse ?1172) (inverse (inverse ?1172)))) (inverse (add ?1172 (inverse (inverse ?1172))))) =>= inverse (add (inverse ?1172) (inverse (add (inverse ?1172) (inverse (inverse ?1172))))) [1172] by Super 173 with 458 at 1,2,1,2,1,2
Id : 520, {_}: inverse (add (inverse (add (inverse ?1172) ?1172)) (inverse (add ?1172 (inverse (inverse ?1172))))) =>= inverse (add (inverse ?1172) (inverse (add (inverse ?1172) (inverse (inverse ?1172))))) [1172] by Demod 507 with 425 at 2,1,1,1,2
Id : 521, {_}: inverse (add (inverse (add (inverse ?1172) ?1172)) (inverse (add ?1172 ?1172))) =?= inverse (add (inverse ?1172) (inverse (add (inverse ?1172) (inverse (inverse ?1172))))) [1172] by Demod 520 with 425 at 2,1,2,1,2
Id : 522, {_}: inverse (add (inverse (add (inverse ?1172) ?1172)) (inverse (add ?1172 ?1172))) =>= inverse (inverse ?1172) [1172] by Demod 521 with 458 at 1,3
Id : 523, {_}: inverse (add (inverse (add (inverse ?1172) ?1172)) (inverse ?1172)) =>= inverse (inverse ?1172) [1172] by Demod 522 with 416 at 1,2,1,2
Id : 524, {_}: inverse (add (inverse (add (inverse ?1172) ?1172)) (inverse ?1172)) =>= ?1172 [1172] by Demod 523 with 425 at 3
Id : 562, {_}: inverse ?1268 =<= add (inverse (add (inverse ?1268) ?1268)) (inverse ?1268) [1268] by Super 425 with 524 at 1,2
Id : 631, {_}: inverse (add (inverse (add (inverse (add (inverse (inverse ?1362)) ?1363)) (inverse (inverse ?1362)))) (inverse ?1362)) =>= inverse (inverse ?1362) [1363, 1362] by Super 426 with 562 at 1,1,1,1,1,1,1,2
Id : 651, {_}: inverse (add (inverse (add (inverse (add ?1362 ?1363)) (inverse (inverse ?1362)))) (inverse ?1362)) =>= inverse (inverse ?1362) [1363, 1362] by Demod 631 with 425 at 1,1,1,1,1,1,2
Id : 652, {_}: inverse (add (inverse (add (inverse (add ?1362 ?1363)) ?1362)) (inverse ?1362)) =>= inverse (inverse ?1362) [1363, 1362] by Demod 651 with 425 at 2,1,1,1,2
Id : 1548, {_}: inverse (add (inverse (add (inverse (add ?2603 ?2604)) ?2603)) (inverse ?2603)) =>= ?2603 [2604, 2603] by Demod 652 with 425 at 3
Id : 1577, {_}: inverse (add ?2689 (inverse (inverse (add ?2690 ?2689)))) =>= inverse (add ?2690 ?2689) [2690, 2689] by Super 1548 with 55 at 1,1,2
Id : 1652, {_}: inverse (add ?2689 (add ?2690 ?2689)) =>= inverse (add ?2690 ?2689) [2690, 2689] by Demod 1577 with 425 at 2,1,2
Id : 1666, {_}: inverse (inverse (add ?2734 ?2735)) =<= add ?2735 (add ?2734 ?2735) [2735, 2734] by Super 425 with 1652 at 1,2
Id : 1717, {_}: add ?2734 ?2735 =<= add ?2735 (add ?2734 ?2735) [2735, 2734] by Demod 1666 with 425 at 2
Id : 1692, {_}: inverse (add ?2833 (add ?2834 ?2833)) =>= inverse (add ?2834 ?2833) [2834, 2833] by Demod 1577 with 425 at 2,1,2
Id : 1009, {_}: inverse ?1880 =<= add (inverse (add (inverse ?1881) ?1880)) (inverse (add ?1881 ?1880)) [1881, 1880] by Super 425 with 432 at 1,2
Id : 1701, {_}: inverse (add (inverse (add ?2854 ?2855)) (inverse ?2855)) =<= inverse (add (inverse (add (inverse ?2854) ?2855)) (inverse (add ?2854 ?2855))) [2855, 2854] by Super 1692 with 1009 at 2,1,2
Id : 1750, {_}: inverse (add (inverse (add ?2854 ?2855)) (inverse ?2855)) =>= inverse (inverse ?2855) [2855, 2854] by Demod 1701 with 1009 at 1,3
Id : 1751, {_}: inverse (add (inverse (add ?2854 ?2855)) (inverse ?2855)) =>= ?2855 [2855, 2854] by Demod 1750 with 425 at 3
Id : 1834, {_}: inverse ?3002 =<= add (inverse (add ?3003 ?3002)) (inverse ?3002) [3003, 3002] by Super 425 with 1751 at 1,2
Id : 1988, {_}: inverse (add (inverse (inverse ?3213)) (inverse (add ?3214 (inverse ?3213)))) =>= inverse ?3213 [3214, 3213] by Super 55 with 1834 at 1,1,1,2
Id : 2037, {_}: inverse (add ?3213 (inverse (add ?3214 (inverse ?3213)))) =>= inverse ?3213 [3214, 3213] by Demod 1988 with 425 at 1,1,2
Id : 2117, {_}: inverse (inverse ?3342) =<= add ?3342 (inverse (add ?3343 (inverse ?3342))) [3343, 3342] by Super 425 with 2037 at 1,2
Id : 2219, {_}: ?3342 =<= add ?3342 (inverse (add ?3343 (inverse ?3342))) [3343, 3342] by Demod 2117 with 425 at 2
Id : 2573, {_}: add ?3976 (inverse (add ?3977 (inverse ?3976))) =?= add (inverse (add ?3977 (inverse ?3976))) ?3976 [3977, 3976] by Super 1717 with 2219 at 2,3
Id : 2685, {_}: ?4113 =<= add (inverse (add ?4114 (inverse ?4113))) ?4113 [4114, 4113] by Demod 2573 with 2219 at 2
Id : 5194, {_}: add ?7112 (inverse (add (inverse ?7113) (inverse (add ?7113 ?7114)))) =<= add ?7113 (add ?7112 (inverse (add (inverse ?7113) (inverse (add ?7113 ?7114))))) [7114, 7113, 7112] by Super 2685 with 2 at 1,3
Id : 2139, {_}: add (inverse ?3423) (inverse (add ?3424 (inverse (inverse ?3423)))) =<= add (inverse (add ?3424 (inverse (inverse ?3423)))) (inverse (add ?3423 (inverse (inverse ?3423)))) [3424, 3423] by Super 457 with 2037 at 2,1,2,3
Id : 2185, {_}: add (inverse ?3423) (inverse (add ?3424 ?3423)) =<= add (inverse (add ?3424 (inverse (inverse ?3423)))) (inverse (add ?3423 (inverse (inverse ?3423)))) [3424, 3423] by Demod 2139 with 425 at 2,1,2,2
Id : 2186, {_}: add (inverse ?3423) (inverse (add ?3424 ?3423)) =<= add (inverse (add ?3424 ?3423)) (inverse (add ?3423 (inverse (inverse ?3423)))) [3424, 3423] by Demod 2185 with 425 at 2,1,1,3
Id : 2187, {_}: add (inverse ?3423) (inverse (add ?3424 ?3423)) =<= add (inverse (add ?3424 ?3423)) (inverse (add ?3423 ?3423)) [3424, 3423] by Demod 2186 with 425 at 2,1,2,3
Id : 2188, {_}: add (inverse ?3423) (inverse (add ?3424 ?3423)) =?= add (inverse (add ?3424 ?3423)) (inverse ?3423) [3424, 3423] by Demod 2187 with 416 at 1,2,3
Id : 2189, {_}: add (inverse ?3423) (inverse (add ?3424 ?3423)) =>= inverse ?3423 [3424, 3423] by Demod 2188 with 1834 at 3
Id : 5230, {_}: add (inverse (inverse (add ?7260 ?7261))) (inverse (add (inverse ?7260) (inverse (add ?7260 ?7261)))) =>= add ?7260 (inverse (inverse (add ?7260 ?7261))) [7261, 7260] by Super 5194 with 2189 at 2,3
Id : 5493, {_}: inverse (inverse (add ?7260 ?7261)) =<= add ?7260 (inverse (inverse (add ?7260 ?7261))) [7261, 7260] by Demod 5230 with 2189 at 2
Id : 5494, {_}: inverse (inverse (add ?7260 ?7261)) =<= add ?7260 (add ?7260 ?7261) [7261, 7260] by Demod 5493 with 425 at 2,3
Id : 5495, {_}: add ?7260 ?7261 =<= add ?7260 (add ?7260 ?7261) [7261, 7260] by Demod 5494 with 425 at 2
Id : 6005, {_}: inverse (add (inverse ?125) (inverse (add ?125 ?126))) =>= ?125 [126, 125] by Demod 6004 with 5495 at 1,2
Id : 6007, {_}: add ?4434 ?4435 =<->= add ?4435 ?4434 [4435, 4434] by Demod 3023 with 6005 at 2,3
Id : 6250, {_}: add b a === add b a [] by Demod 1 with 6007 at 3
Id :   1, {_}: add b a =<= add a b [] by huntinton_1
% SZS output end CNFRefutation for BOO072-1.p
2033: solved BOO072-1.p in 1.13607 using nrkbo
!! infer_left                                      55    0.0001    0.0000    0.0000
!! infer_right                                     56    3.9854    0.3427    0.0712
!! simplify_goal                                   56    0.0022    0.0001    0.0000
!! keep_simplified                                115    0.7108    0.3057    0.0062
!! simplification_step                            143    0.7102    0.3029    0.0050
!! simplify                                      3791    4.1942    0.3019    0.0011
!! orphan_murder                                  232    0.0038    0.0004    0.0000
!! is_subsumed                                   2721    0.3518    0.3001    0.0001
!! build_new_clause                              2427    0.1094    0.0014    0.0000
!! demodulate                                    3737    3.8304    0.3018    0.0010
!! demod                                        54262    2.7585    0.3004    0.0001
!! demod.apply_subst                             8502    0.0166    0.0003    0.0000
!! demod.compare_terms                            505    0.0073    0.0008    0.0000
!! demod.retrieve_generalizations               54262    1.8455    0.3004    0.0000
!! demod.unify                                  42918    0.4474    0.3001    0.0000
!! build_clause                                  6193    0.4355    0.3002    0.0001
!! compare_terms(nrkbo)                          6702    0.0681    0.0009    0.0000
!! compare_terms(nrkbo)                             2    0.0001    0.0000    0.0000
2038: Facts:
2038:  Id :   2, {_}:
          inverse
            (add (inverse (add (inverse (add ?2 ?3)) ?4))
              (inverse
                (add ?2 (inverse (add (inverse ?4) (inverse (add ?4 ?5)))))))
          =>=
          ?4
          [5, 4, 3, 2] by dn1 ?2 ?3 ?4 ?5
2038: Goal:
2038:  Id :   1, {_}: add (add a b) c =>= add a (add b c) [] by huntinton_2
% SZS status Timeout for BOO073-1.p
2081: Facts:
2081:  Id :   2, {_}:
          inverse
            (add (inverse (add (inverse (add ?2 ?3)) ?4))
              (inverse
                (add ?2 (inverse (add (inverse ?4) (inverse (add ?4 ?5)))))))
          =>=
          ?4
          [5, 4, 3, 2] by dn1 ?2 ?3 ?4 ?5
2081: Goal:
2081:  Id :   1, {_}:
          add (inverse (add (inverse a) b))
            (inverse (add (inverse a) (inverse b)))
          =>=
          a
          [] by huntinton_3
Statistics :
Max weight : 29
Found proof, 9.045057s
% SZS status Unsatisfiable for BOO074-1.p
% SZS output start CNFRefutation for BOO074-1.p
Id :   3, {_}: inverse (add (inverse (add (inverse (add ?7 ?8)) ?9)) (inverse (add ?7 (inverse (add (inverse ?9) (inverse (add ?9 ?10))))))) =>= ?9 [10, 9, 8, 7] by dn1 ?7 ?8 ?9 ?10
Id :   2, {_}: inverse (add (inverse (add (inverse (add ?2 ?3)) ?4)) (inverse (add ?2 (inverse (add (inverse ?4) (inverse (add ?4 ?5))))))) =>= ?4 [5, 4, 3, 2] by dn1 ?2 ?3 ?4 ?5
Id :  15, {_}: inverse (add (inverse (add (inverse (add (inverse (add (inverse (add (inverse (inverse ?74)) ?75)) ?74)) ?76)) (inverse ?74))) ?74) =>= inverse ?74 [76, 75, 74] by Super 3 with 2 at 2,1,2
Id :  20, {_}: inverse (add (inverse (add ?104 (inverse ?104))) ?104) =>= inverse ?104 [104] by Super 15 with 2 at 1,1,1,1,2
Id :  34, {_}: inverse (add (inverse ?125) (inverse (add ?125 (inverse (add (inverse ?125) (inverse (add ?125 ?126))))))) =>= ?125 [126, 125] by Super 2 with 20 at 1,1,2
Id : 129, {_}: inverse (add (inverse (add (inverse (add ?380 ?381)) ?382)) (inverse (add ?380 ?382))) =>= ?382 [382, 381, 380] by Super 2 with 34 at 2,1,2,1,2
Id :  55, {_}: inverse (add (inverse (add (inverse (add ?177 ?178)) ?179)) (inverse (add ?177 ?179))) =>= ?179 [179, 178, 177] by Super 2 with 34 at 2,1,2,1,2
Id : 146, {_}: inverse (add ?449 (inverse (add (inverse (add ?450 ?451)) (inverse (add ?450 ?449))))) =>= inverse (add ?450 ?449) [451, 450, 449] by Super 129 with 55 at 1,1,2
Id : 139, {_}: inverse (add (inverse (add ?423 ?424)) (inverse (add (inverse ?423) ?424))) =>= ?424 [424, 423] by Super 129 with 34 at 1,1,1,1,2
Id : 173, {_}: inverse (add ?519 (inverse (add ?520 (inverse (add (inverse ?520) ?519))))) =>= inverse (add (inverse ?520) ?519) [520, 519] by Super 55 with 139 at 1,1,2
Id : 339, {_}: inverse (add (inverse ?868) (inverse (add ?868 (inverse (add (inverse ?868) (inverse ?868)))))) =>= ?868 [868] by Super 34 with 173 at 2,1,2,1,2
Id : 388, {_}: inverse (add (inverse ?868) (inverse ?868)) =>= ?868 [868] by Demod 339 with 173 at 2
Id : 174, {_}: inverse (add (inverse (add ?522 ?523)) (inverse (add (inverse ?522) ?523))) =>= ?523 [523, 522] by Super 129 with 34 at 1,1,1,1,2
Id :  59, {_}: inverse (add (inverse ?193) (inverse (add ?193 (inverse (add (inverse ?193) (inverse (add ?193 ?194))))))) =>= ?193 [194, 193] by Super 2 with 20 at 1,1,2
Id :  68, {_}: inverse (add (inverse ?226) (inverse (add ?226 ?226))) =>= ?226 [226] by Super 59 with 34 at 2,1,2,1,2
Id : 187, {_}: inverse (add (inverse (add ?573 (inverse (add ?573 ?573)))) ?573) =>= inverse (add ?573 ?573) [573] by Super 174 with 68 at 2,1,2
Id : 207, {_}: inverse (add (inverse (add ?609 ?609)) (inverse (add ?609 ?609))) =>= ?609 [609] by Super 55 with 187 at 1,1,2
Id : 416, {_}: add ?609 ?609 =>= ?609 [609] by Demod 207 with 388 at 2
Id : 425, {_}: inverse (inverse ?868) =>= ?868 [868] by Demod 388 with 416 at 1,2
Id :   6, {_}: inverse (add (inverse (add (inverse (add (inverse (add (inverse (add (inverse (inverse ?26)) ?27)) ?26)) ?28)) (inverse ?26))) ?26) =>= inverse ?26 [28, 27, 26] by Super 3 with 2 at 2,1,2
Id : 426, {_}: inverse (add (inverse (add (inverse (add (inverse (add (inverse (add ?26 ?27)) ?26)) ?28)) (inverse ?26))) ?26) =>= inverse ?26 [28, 27, 26] by Demod 6 with 425 at 1,1,1,1,1,1,1,1,1,1,2
Id : 439, {_}: inverse (inverse ?1046) =>= ?1046 [1046] by Demod 388 with 416 at 1,2
Id : 249, {_}: inverse (add ?713 (inverse (add ?713 (inverse (add ?713 ?713))))) =>= inverse (add ?713 ?713) [713] by Super 55 with 207 at 1,1,2
Id : 417, {_}: inverse (add ?713 (inverse (add ?713 (inverse ?713)))) =>= inverse (add ?713 ?713) [713] by Demod 249 with 416 at 1,2,1,2,1,2
Id : 418, {_}: inverse (add ?713 (inverse (add ?713 (inverse ?713)))) =>= inverse ?713 [713] by Demod 417 with 416 at 1,3
Id : 446, {_}: inverse (inverse ?1068) =<= add ?1068 (inverse (add ?1068 (inverse ?1068))) [1068] by Super 439 with 418 at 1,2
Id : 458, {_}: ?1068 =<= add ?1068 (inverse (add ?1068 (inverse ?1068))) [1068] by Demod 446 with 425 at 2
Id : 507, {_}: inverse (add (inverse (add (inverse ?1172) (inverse (inverse ?1172)))) (inverse (add ?1172 (inverse (inverse ?1172))))) =>= inverse (add (inverse ?1172) (inverse (add (inverse ?1172) (inverse (inverse ?1172))))) [1172] by Super 173 with 458 at 1,2,1,2,1,2
Id : 520, {_}: inverse (add (inverse (add (inverse ?1172) ?1172)) (inverse (add ?1172 (inverse (inverse ?1172))))) =>= inverse (add (inverse ?1172) (inverse (add (inverse ?1172) (inverse (inverse ?1172))))) [1172] by Demod 507 with 425 at 2,1,1,1,2
Id : 521, {_}: inverse (add (inverse (add (inverse ?1172) ?1172)) (inverse (add ?1172 ?1172))) =?= inverse (add (inverse ?1172) (inverse (add (inverse ?1172) (inverse (inverse ?1172))))) [1172] by Demod 520 with 425 at 2,1,2,1,2
Id : 522, {_}: inverse (add (inverse (add (inverse ?1172) ?1172)) (inverse (add ?1172 ?1172))) =>= inverse (inverse ?1172) [1172] by Demod 521 with 458 at 1,3
Id : 523, {_}: inverse (add (inverse (add (inverse ?1172) ?1172)) (inverse ?1172)) =>= inverse (inverse ?1172) [1172] by Demod 522 with 416 at 1,2,1,2
Id : 524, {_}: inverse (add (inverse (add (inverse ?1172) ?1172)) (inverse ?1172)) =>= ?1172 [1172] by Demod 523 with 425 at 3
Id : 562, {_}: inverse ?1268 =<= add (inverse (add (inverse ?1268) ?1268)) (inverse ?1268) [1268] by Super 425 with 524 at 1,2
Id : 631, {_}: inverse (add (inverse (add (inverse (add (inverse (inverse ?1362)) ?1363)) (inverse (inverse ?1362)))) (inverse ?1362)) =>= inverse (inverse ?1362) [1363, 1362] by Super 426 with 562 at 1,1,1,1,1,1,1,2
Id : 651, {_}: inverse (add (inverse (add (inverse (add ?1362 ?1363)) (inverse (inverse ?1362)))) (inverse ?1362)) =>= inverse (inverse ?1362) [1363, 1362] by Demod 631 with 425 at 1,1,1,1,1,1,2
Id : 652, {_}: inverse (add (inverse (add (inverse (add ?1362 ?1363)) ?1362)) (inverse ?1362)) =>= inverse (inverse ?1362) [1363, 1362] by Demod 651 with 425 at 2,1,1,1,2
Id : 1548, {_}: inverse (add (inverse (add (inverse (add ?2603 ?2604)) ?2603)) (inverse ?2603)) =>= ?2603 [2604, 2603] by Demod 652 with 425 at 3
Id : 1577, {_}: inverse (add ?2689 (inverse (inverse (add ?2690 ?2689)))) =>= inverse (add ?2690 ?2689) [2690, 2689] by Super 1548 with 55 at 1,1,2
Id : 1692, {_}: inverse (add ?2833 (add ?2834 ?2833)) =>= inverse (add ?2834 ?2833) [2834, 2833] by Demod 1577 with 425 at 2,1,2
Id : 432, {_}: inverse (add (inverse (add (inverse ?1023) ?1024)) (inverse (add ?1023 ?1024))) =>= ?1024 [1024, 1023] by Super 139 with 425 at 1,1,2,1,2
Id : 1009, {_}: inverse ?1880 =<= add (inverse (add (inverse ?1881) ?1880)) (inverse (add ?1881 ?1880)) [1881, 1880] by Super 425 with 432 at 1,2
Id : 1701, {_}: inverse (add (inverse (add ?2854 ?2855)) (inverse ?2855)) =<= inverse (add (inverse (add (inverse ?2854) ?2855)) (inverse (add ?2854 ?2855))) [2855, 2854] by Super 1692 with 1009 at 2,1,2
Id : 1750, {_}: inverse (add (inverse (add ?2854 ?2855)) (inverse ?2855)) =>= inverse (inverse ?2855) [2855, 2854] by Demod 1701 with 1009 at 1,3
Id : 1751, {_}: inverse (add (inverse (add ?2854 ?2855)) (inverse ?2855)) =>= ?2855 [2855, 2854] by Demod 1750 with 425 at 3
Id : 1834, {_}: inverse ?3002 =<= add (inverse (add ?3003 ?3002)) (inverse ?3002) [3003, 3002] by Super 425 with 1751 at 1,2
Id : 1988, {_}: inverse (add (inverse (inverse ?3213)) (inverse (add ?3214 (inverse ?3213)))) =>= inverse ?3213 [3214, 3213] by Super 55 with 1834 at 1,1,1,2
Id : 2037, {_}: inverse (add ?3213 (inverse (add ?3214 (inverse ?3213)))) =>= inverse ?3213 [3214, 3213] by Demod 1988 with 425 at 1,1,2
Id : 2117, {_}: inverse (inverse ?3342) =<= add ?3342 (inverse (add ?3343 (inverse ?3342))) [3343, 3342] by Super 425 with 2037 at 1,2
Id : 2219, {_}: ?3342 =<= add ?3342 (inverse (add ?3343 (inverse ?3342))) [3343, 3342] by Demod 2117 with 425 at 2
Id : 445, {_}: inverse (inverse (add (inverse ?1065) ?1066)) =<= add ?1066 (inverse (add ?1065 (inverse (add (inverse ?1065) ?1066)))) [1066, 1065] by Super 439 with 173 at 1,2
Id : 457, {_}: add (inverse ?1065) ?1066 =<= add ?1066 (inverse (add ?1065 (inverse (add (inverse ?1065) ?1066)))) [1066, 1065] by Demod 445 with 425 at 2
Id : 2139, {_}: add (inverse ?3423) (inverse (add ?3424 (inverse (inverse ?3423)))) =<= add (inverse (add ?3424 (inverse (inverse ?3423)))) (inverse (add ?3423 (inverse (inverse ?3423)))) [3424, 3423] by Super 457 with 2037 at 2,1,2,3
Id : 2185, {_}: add (inverse ?3423) (inverse (add ?3424 ?3423)) =<= add (inverse (add ?3424 (inverse (inverse ?3423)))) (inverse (add ?3423 (inverse (inverse ?3423)))) [3424, 3423] by Demod 2139 with 425 at 2,1,2,2
Id : 2186, {_}: add (inverse ?3423) (inverse (add ?3424 ?3423)) =<= add (inverse (add ?3424 ?3423)) (inverse (add ?3423 (inverse (inverse ?3423)))) [3424, 3423] by Demod 2185 with 425 at 2,1,1,3
Id : 2187, {_}: add (inverse ?3423) (inverse (add ?3424 ?3423)) =<= add (inverse (add ?3424 ?3423)) (inverse (add ?3423 ?3423)) [3424, 3423] by Demod 2186 with 425 at 2,1,2,3
Id : 2188, {_}: add (inverse ?3423) (inverse (add ?3424 ?3423)) =?= add (inverse (add ?3424 ?3423)) (inverse ?3423) [3424, 3423] by Demod 2187 with 416 at 1,2,3
Id : 2189, {_}: add (inverse ?3423) (inverse (add ?3424 ?3423)) =>= inverse ?3423 [3424, 3423] by Demod 2188 with 1834 at 3
Id : 5778, {_}: inverse (add ?7760 (inverse (add (inverse (add ?7761 ?7762)) (inverse (add ?7761 ?7760))))) =>= inverse (add ?7761 ?7760) [7762, 7761, 7760] by Super 129 with 55 at 1,1,2
Id : 5837, {_}: inverse (add (inverse (add (inverse ?7995) (inverse (add ?7995 ?7996)))) (inverse (add (inverse ?7995) (inverse (add ?7995 ?7996))))) =>= inverse (add ?7995 (inverse (add (inverse ?7995) (inverse (add ?7995 ?7996))))) [7996, 7995] by Super 5778 with 457 at 1,2,1,2
Id : 5990, {_}: inverse (inverse (add (inverse ?7995) (inverse (add ?7995 ?7996)))) =<= inverse (add ?7995 (inverse (add (inverse ?7995) (inverse (add ?7995 ?7996))))) [7996, 7995] by Demod 5837 with 416 at 1,2
Id : 5991, {_}: add (inverse ?7995) (inverse (add ?7995 ?7996)) =<= inverse (add ?7995 (inverse (add (inverse ?7995) (inverse (add ?7995 ?7996))))) [7996, 7995] by Demod 5990 with 425 at 2
Id : 6004, {_}: inverse (add (inverse ?125) (add (inverse ?125) (inverse (add ?125 ?126)))) =>= ?125 [126, 125] by Demod 34 with 5991 at 2,1,2
Id : 1652, {_}: inverse (add ?2689 (add ?2690 ?2689)) =>= inverse (add ?2690 ?2689) [2690, 2689] by Demod 1577 with 425 at 2,1,2
Id : 1666, {_}: inverse (inverse (add ?2734 ?2735)) =<= add ?2735 (add ?2734 ?2735) [2735, 2734] by Super 425 with 1652 at 1,2
Id : 1717, {_}: add ?2734 ?2735 =<= add ?2735 (add ?2734 ?2735) [2735, 2734] by Demod 1666 with 425 at 2
Id : 2573, {_}: add ?3976 (inverse (add ?3977 (inverse ?3976))) =?= add (inverse (add ?3977 (inverse ?3976))) ?3976 [3977, 3976] by Super 1717 with 2219 at 2,3
Id : 2685, {_}: ?4113 =<= add (inverse (add ?4114 (inverse ?4113))) ?4113 [4114, 4113] by Demod 2573 with 2219 at 2
Id : 5194, {_}: add ?7112 (inverse (add (inverse ?7113) (inverse (add ?7113 ?7114)))) =<= add ?7113 (add ?7112 (inverse (add (inverse ?7113) (inverse (add ?7113 ?7114))))) [7114, 7113, 7112] by Super 2685 with 2 at 1,3
Id : 5230, {_}: add (inverse (inverse (add ?7260 ?7261))) (inverse (add (inverse ?7260) (inverse (add ?7260 ?7261)))) =>= add ?7260 (inverse (inverse (add ?7260 ?7261))) [7261, 7260] by Super 5194 with 2189 at 2,3
Id : 5493, {_}: inverse (inverse (add ?7260 ?7261)) =<= add ?7260 (inverse (inverse (add ?7260 ?7261))) [7261, 7260] by Demod 5230 with 2189 at 2
Id : 5494, {_}: inverse (inverse (add ?7260 ?7261)) =<= add ?7260 (add ?7260 ?7261) [7261, 7260] by Demod 5493 with 425 at 2,3
Id : 5495, {_}: add ?7260 ?7261 =<= add ?7260 (add ?7260 ?7261) [7261, 7260] by Demod 5494 with 425 at 2
Id : 6005, {_}: inverse (add (inverse ?125) (inverse (add ?125 ?126))) =>= ?125 [126, 125] by Demod 6004 with 5495 at 1,2
Id : 6011, {_}: add (inverse ?7995) (inverse (add ?7995 ?7996)) =>= inverse (add ?7995 ?7995) [7996, 7995] by Demod 5991 with 6005 at 2,1,3
Id : 6012, {_}: add (inverse ?7995) (inverse (add ?7995 ?7996)) =>= inverse ?7995 [7996, 7995] by Demod 6011 with 416 at 1,3
Id : 6033, {_}: add (inverse (inverse (add ?8055 ?8056))) (inverse (inverse ?8055)) =>= inverse (inverse (add ?8055 ?8056)) [8056, 8055] by Super 2189 with 6012 at 1,2,2
Id : 6156, {_}: add (add ?8055 ?8056) (inverse (inverse ?8055)) =>= inverse (inverse (add ?8055 ?8056)) [8056, 8055] by Demod 6033 with 425 at 1,2
Id : 6157, {_}: add (add ?8055 ?8056) ?8055 =>= inverse (inverse (add ?8055 ?8056)) [8056, 8055] by Demod 6156 with 425 at 2,2
Id : 6158, {_}: add (add ?8055 ?8056) ?8055 =>= add ?8055 ?8056 [8056, 8055] by Demod 6157 with 425 at 3
Id : 6258, {_}: ?8254 =<= add ?8254 (inverse (add (inverse ?8254) ?8255)) [8255, 8254] by Super 2219 with 6158 at 1,2,3
Id : 6643, {_}: inverse (add ?8626 (inverse (add (inverse ?8627) (inverse (add ?8627 ?8626))))) =>= inverse (add ?8627 ?8626) [8627, 8626] by Super 146 with 6258 at 1,1,1,2,1,2
Id : 6768, {_}: inverse (add ?8626 (inverse (inverse ?8627))) =>= inverse (add ?8627 ?8626) [8627, 8626] by Demod 6643 with 6012 at 1,2,1,2
Id : 6769, {_}: inverse (add ?8626 ?8627) =<->= inverse (add ?8627 ?8626) [8627, 8626] by Demod 6768 with 425 at 2,1,2
Id : 444, {_}: inverse ?1062 =<= add (inverse (add ?1063 ?1062)) (inverse (add (inverse ?1063) ?1062)) [1063, 1062] by Super 439 with 139 at 1,2
Id : 7030, {_}: inverse ?9108 =<= add (inverse (add ?9109 ?9108)) (inverse (add ?9108 (inverse ?9109))) [9109, 9108] by Super 444 with 6769 at 2,3
Id : 9860, {_}: a === a [] by Demod 9859 with 425 at 2
Id : 9859, {_}: inverse (inverse a) =>= a [] by Demod 9858 with 7030 at 2
Id : 9858, {_}: add (inverse (add b (inverse a))) (inverse (add (inverse a) (inverse b))) =>= a [] by Demod 1 with 6769 at 1,2
Id :   1, {_}: add (inverse (add (inverse a) b)) (inverse (add (inverse a) (inverse b))) =>= a [] by huntinton_3
% SZS output end CNFRefutation for BOO074-1.p
2084: solved BOO074-1.p in 1.836114 using nrkbo
!! infer_left                                      83    0.0001    0.0000    0.0000
!! infer_right                                     70    8.2183    0.4839    0.1174
!! simplify_goal                                   83    0.0155    0.0005    0.0002
!! keep_simplified                                172    0.7836    0.4049    0.0046
!! simplification_step                            201    0.7829    0.4028    0.0039
!! simplify                                      5467    7.9230    0.4065    0.0014
!! orphan_murder                                  291    0.0045    0.0002    0.0000
!! is_subsumed                                   3666    0.4776    0.4002    0.0001
!! build_new_clause                              3700    0.1493    0.0014    0.0000
!! demodulate                                    5371    7.4416    0.4064    0.0014
!! demod                                        70912    6.4046    0.4042    0.0001
!! demod.apply_subst                            34252    0.0692    0.0008    0.0000
!! demod.compare_terms                          11316    0.5597    0.4002    0.0000
!! demod.retrieve_generalizations               70912    2.6990    0.4002    0.0000
!! demod.unify                                  76807    1.4507    0.4001    0.0000
!! build_clause                                  9863    0.1951    0.0013    0.0000
!! compare_terms(nrkbo)                         21294    0.6274    0.4002    0.0000
!! compare_terms(nrkbo)                             2    0.0001    0.0000    0.0000
2089: Facts:
2089:  Id :   2, {_}:
          nand (nand ?2 (nand (nand ?3 ?2) ?2)) (nand ?3 (nand ?4 ?2)) =>= ?3
          [4, 3, 2] by sh_1 ?2 ?3 ?4
2089: Goal:
2089:  Id :   1, {_}:
          nand a (nand b (nand a c)) =<= nand (nand (nand c b) b) a
          [] by prove_meredith_2_basis_2
% SZS status Timeout for BOO076-1.p
2116: Facts:
2116:  Id :   2, {_}:
          nand (nand ?2 (nand (nand ?3 ?2) ?2)) (nand ?3 (nand ?2 ?4)) =>= ?3
          [4, 3, 2] by c1 ?2 ?3 ?4
2116: Goal:
2116:  Id :   1, {_}: nand (nand a a) (nand b a) =>= a [] by prove_meredith_2_basis_1
% SZS status Timeout for BOO077-1.p
2180: Facts:
2180:  Id :   2, {_}:
          nand (nand ?2 (nand (nand ?3 ?2) ?2)) (nand ?3 (nand ?2 ?4)) =>= ?3
          [4, 3, 2] by c1 ?2 ?3 ?4
2180: Goal:
2180:  Id :   1, {_}:
          nand a (nand b (nand a c)) =<= nand (nand (nand c b) b) a
          [] by prove_meredith_2_basis_2
% SZS status Timeout for BOO078-1.p
2207: Facts:
2207:  Id :   2, {_}:
          nand (nand ?2 (nand ?2 (nand ?3 ?2))) (nand ?3 (nand ?4 ?2)) =>= ?3
          [4, 3, 2] by c2 ?2 ?3 ?4
2207: Goal:
2207:  Id :   1, {_}: nand (nand a a) (nand b a) =>= a [] by prove_meredith_2_basis_1
% SZS status Timeout for BOO079-1.p
2249: Facts:
2249:  Id :   2, {_}:
          nand (nand ?2 (nand ?2 (nand ?3 ?2))) (nand ?3 (nand ?4 ?2)) =>= ?3
          [4, 3, 2] by c2 ?2 ?3 ?4
2249: Goal:
2249:  Id :   1, {_}:
          nand a (nand b (nand a c)) =<= nand (nand (nand c b) b) a
          [] by prove_meredith_2_basis_2
% SZS status Timeout for BOO080-1.p
2288: Facts:
2288:  Id :   2, {_}:
          nand (nand ?2 (nand ?2 (nand ?2 ?3))) (nand ?3 (nand ?4 ?2)) =>= ?3
          [4, 3, 2] by c3 ?2 ?3 ?4
2288: Goal:
2288:  Id :   1, {_}: nand (nand a a) (nand b a) =>= a [] by prove_meredith_2_basis_1
% SZS status Timeout for BOO081-1.p
2328: Facts:
2328:  Id :   2, {_}:
          nand (nand ?2 (nand ?2 (nand ?2 ?3))) (nand ?3 (nand ?4 ?2)) =>= ?3
          [4, 3, 2] by c3 ?2 ?3 ?4
2328: Goal:
2328:  Id :   1, {_}:
          nand a (nand b (nand a c)) =<= nand (nand (nand c b) b) a
          [] by prove_meredith_2_basis_2
% SZS status Timeout for BOO082-1.p
2374: Facts:
2374:  Id :   2, {_}:
          nand (nand ?2 (nand ?2 (nand ?2 ?3))) (nand ?3 (nand ?2 ?4)) =>= ?3
          [4, 3, 2] by c4 ?2 ?3 ?4
2374: Goal:
2374:  Id :   1, {_}: nand (nand a a) (nand b a) =>= a [] by prove_meredith_2_basis_1
% SZS status Timeout for BOO083-1.p
2455: Facts:
2455:  Id :   2, {_}:
          nand (nand ?2 (nand ?2 (nand ?2 ?3))) (nand ?3 (nand ?2 ?4)) =>= ?3
          [4, 3, 2] by c4 ?2 ?3 ?4
2455: Goal:
2455:  Id :   1, {_}:
          nand a (nand b (nand a c)) =<= nand (nand (nand c b) b) a
          [] by prove_meredith_2_basis_2
% SZS status Timeout for BOO084-1.p
2482: Facts:
2482:  Id :   2, {_}:
          nand (nand ?2 (nand ?2 (nand ?3 ?4))) (nand ?3 (nand ?4 ?2)) =>= ?3
          [4, 3, 2] by c5 ?2 ?3 ?4
2482: Goal:
2482:  Id :   1, {_}: nand (nand a a) (nand b a) =>= a [] by prove_meredith_2_basis_1
% SZS status Timeout for BOO085-1.p
2531: Facts:
2531:  Id :   2, {_}:
          nand (nand ?2 (nand ?2 (nand ?3 ?4))) (nand ?3 (nand ?4 ?2)) =>= ?3
          [4, 3, 2] by c5 ?2 ?3 ?4
2531: Goal:
2531:  Id :   1, {_}:
          nand a (nand b (nand a c)) =<= nand (nand (nand c b) b) a
          [] by prove_meredith_2_basis_2
% SZS status Timeout for BOO086-1.p
2582: Facts:
2582:  Id :   2, {_}:
          nand (nand ?2 (nand ?2 (nand ?3 ?4))) (nand ?4 (nand ?2 ?3)) =>= ?4
          [4, 3, 2] by c6 ?2 ?3 ?4
2582: Goal:
2582:  Id :   1, {_}: nand (nand a a) (nand b a) =>= a [] by prove_meredith_2_basis_1
% SZS status Timeout for BOO087-1.p
2664: Facts:
2664:  Id :   2, {_}:
          nand (nand ?2 (nand ?2 (nand ?3 ?4))) (nand ?4 (nand ?2 ?3)) =>= ?4
          [4, 3, 2] by c6 ?2 ?3 ?4
2664: Goal:
2664:  Id :   1, {_}:
          nand a (nand b (nand a c)) =<= nand (nand (nand c b) b) a
          [] by prove_meredith_2_basis_2
% SZS status Timeout for BOO088-1.p
2740: Facts:
2740:  Id :   2, {_}:
          nand (nand ?2 (nand ?2 (nand ?3 ?3))) (nand ?3 (nand ?4 ?2)) =>= ?3
          [4, 3, 2] by c7 ?2 ?3 ?4
2740: Goal:
2740:  Id :   1, {_}: nand (nand a a) (nand b a) =>= a [] by prove_meredith_2_basis_1
% SZS status Timeout for BOO089-1.p
2790: Facts:
2790:  Id :   2, {_}:
          nand (nand ?2 (nand ?2 (nand ?3 ?3))) (nand ?3 (nand ?4 ?2)) =>= ?3
          [4, 3, 2] by c7 ?2 ?3 ?4
2790: Goal:
2790:  Id :   1, {_}:
          nand a (nand b (nand a c)) =<= nand (nand (nand c b) b) a
          [] by prove_meredith_2_basis_2
% SZS status Timeout for BOO090-1.p
2817: Facts:
2817:  Id :   2, {_}:
          nand (nand (nand ?2 (nand ?2 ?3)) ?2) (nand ?3 (nand ?4 ?2)) =>= ?3
          [4, 3, 2] by c8 ?2 ?3 ?4
2817: Goal:
2817:  Id :   1, {_}: nand (nand a a) (nand b a) =>= a [] by prove_meredith_2_basis_1
% SZS status Timeout for BOO091-1.p
2903: Facts:
2903:  Id :   2, {_}:
          nand (nand (nand ?2 (nand ?2 ?3)) ?2) (nand ?3 (nand ?4 ?2)) =>= ?3
          [4, 3, 2] by c8 ?2 ?3 ?4
2903: Goal:
2903:  Id :   1, {_}:
          nand a (nand b (nand a c)) =<= nand (nand (nand c b) b) a
          [] by prove_meredith_2_basis_2
% SZS status Timeout for BOO092-1.p
2954: Facts:
2954:  Id :   2, {_}:
          nand (nand (nand ?2 (nand ?3 ?3)) ?2) (nand ?3 (nand ?4 ?2)) =>= ?3
          [4, 3, 2] by c9 ?2 ?3 ?4
2954: Goal:
2954:  Id :   1, {_}: nand (nand a a) (nand b a) =>= a [] by prove_meredith_2_basis_1
% SZS status Timeout for BOO093-1.p
2999: Facts:
2999:  Id :   2, {_}:
          nand (nand (nand ?2 (nand ?3 ?3)) ?2) (nand ?3 (nand ?4 ?2)) =>= ?3
          [4, 3, 2] by c9 ?2 ?3 ?4
2999: Goal:
2999:  Id :   1, {_}:
          nand a (nand b (nand a c)) =<= nand (nand (nand c b) b) a
          [] by prove_meredith_2_basis_2
% SZS status Timeout for BOO094-1.p
3064: Facts:
3064:  Id :   2, {_}:
          nand (nand (nand ?2 (nand ?3 ?4)) ?2) (nand ?3 (nand ?2 ?4)) =>= ?3
          [4, 3, 2] by c10 ?2 ?3 ?4
3064: Goal:
3064:  Id :   1, {_}: nand (nand a a) (nand b a) =>= a [] by prove_meredith_2_basis_1
% SZS status Timeout for BOO095-1.p
3130: Facts:
3130:  Id :   2, {_}:
          nand (nand (nand ?2 (nand ?3 ?4)) ?2) (nand ?3 (nand ?2 ?4)) =>= ?3
          [4, 3, 2] by c10 ?2 ?3 ?4
3130: Goal:
3130:  Id :   1, {_}:
          nand a (nand b (nand a c)) =<= nand (nand (nand c b) b) a
          [] by prove_meredith_2_basis_2
% SZS status Timeout for BOO096-1.p
3163: Facts:
3163:  Id :   2, {_}:
          nand (nand (nand ?2 (nand ?3 ?4)) ?2) (nand ?4 (nand ?2 ?3)) =>= ?4
          [4, 3, 2] by c11 ?2 ?3 ?4
3163: Goal:
3163:  Id :   1, {_}: nand (nand a a) (nand b a) =>= a [] by prove_meredith_2_basis_1
% SZS status Timeout for BOO097-1.p
3216: Facts:
3216:  Id :   2, {_}:
          nand (nand (nand ?2 (nand ?3 ?4)) ?2) (nand ?4 (nand ?2 ?3)) =>= ?4
          [4, 3, 2] by c11 ?2 ?3 ?4
3216: Goal:
3216:  Id :   1, {_}:
          nand a (nand b (nand a c)) =<= nand (nand (nand c b) b) a
          [] by prove_meredith_2_basis_2
% SZS status Timeout for BOO098-1.p
3244: Facts:
3244:  Id :   2, {_}:
          nand (nand (nand ?2 (nand ?2 ?3)) ?2) (nand ?3 (nand ?2 ?4)) =>= ?3
          [4, 3, 2] by c12 ?2 ?3 ?4
3244: Goal:
3244:  Id :   1, {_}: nand (nand a a) (nand b a) =>= a [] by prove_meredith_2_basis_1
% SZS status Timeout for BOO099-1.p
3282: Facts:
3282:  Id :   2, {_}:
          nand (nand (nand ?2 (nand ?2 ?3)) ?2) (nand ?3 (nand ?2 ?4)) =>= ?3
          [4, 3, 2] by c12 ?2 ?3 ?4
3282: Goal:
3282:  Id :   1, {_}:
          nand a (nand b (nand a c)) =<= nand (nand (nand c b) b) a
          [] by prove_meredith_2_basis_2
% SZS status Timeout for BOO100-1.p
3310: Facts:
3310:  Id :   2, {_}:
          nand (nand (nand (nand ?2 ?3) ?2) ?2) (nand ?3 (nand ?4 ?2)) =>= ?3
          [4, 3, 2] by c13 ?2 ?3 ?4
3310: Goal:
3310:  Id :   1, {_}: nand (nand a a) (nand b a) =>= a [] by prove_meredith_2_basis_1
% SZS status Timeout for BOO101-1.p
3349: Facts:
3349:  Id :   2, {_}:
          nand (nand (nand (nand ?2 ?3) ?2) ?2) (nand ?3 (nand ?4 ?2)) =>= ?3
          [4, 3, 2] by c13 ?2 ?3 ?4
3349: Goal:
3349:  Id :   1, {_}:
          nand a (nand b (nand a c)) =<= nand (nand (nand c b) b) a
          [] by prove_meredith_2_basis_2
% SZS status Timeout for BOO102-1.p
3377: Facts:
3377:  Id :   2, {_}:
          nand (nand (nand (nand ?2 ?3) ?2) ?2) (nand ?3 (nand ?2 ?4)) =>= ?3
          [4, 3, 2] by c14 ?2 ?3 ?4
3377: Goal:
3377:  Id :   1, {_}: nand (nand a a) (nand b a) =>= a [] by prove_meredith_2_basis_1
% SZS status Timeout for BOO103-1.p
3415: Facts:
3415:  Id :   2, {_}:
          nand (nand (nand (nand ?2 ?3) ?2) ?2) (nand ?3 (nand ?2 ?4)) =>= ?3
          [4, 3, 2] by c14 ?2 ?3 ?4
3415: Goal:
3415:  Id :   1, {_}:
          nand a (nand b (nand a c)) =<= nand (nand (nand c b) b) a
          [] by prove_meredith_2_basis_2
% SZS status Timeout for BOO104-1.p
3452: Facts:
3452:  Id :   2, {_}:
          nand (nand (nand (nand ?2 ?3) ?4) ?4) (nand ?3 (nand ?2 ?4)) =>= ?3
          [4, 3, 2] by c15 ?2 ?3 ?4
3452: Goal:
3452:  Id :   1, {_}: nand (nand a a) (nand b a) =>= a [] by prove_meredith_2_basis_1
% SZS status Timeout for BOO105-1.p
3787: Facts:
3787:  Id :   2, {_}:
          nand (nand (nand (nand ?2 ?3) ?4) ?4) (nand ?3 (nand ?2 ?4)) =>= ?3
          [4, 3, 2] by c15 ?2 ?3 ?4
3787: Goal:
3787:  Id :   1, {_}:
          nand a (nand b (nand a c)) =<= nand (nand (nand c b) b) a
          [] by prove_meredith_2_basis_2
% SZS status Timeout for BOO106-1.p
4642: Facts:
4642:  Id :   2, {_}:
          nand (nand (nand (nand ?2 ?3) ?4) ?4) (nand ?3 (nand ?4 ?2)) =>= ?3
          [4, 3, 2] by c16 ?2 ?3 ?4
4642: Goal:
4642:  Id :   1, {_}: nand (nand a a) (nand b a) =>= a [] by prove_meredith_2_basis_1
% SZS status Timeout for BOO107-1.p
4700: Facts:
4700:  Id :   2, {_}:
          nand (nand (nand (nand ?2 ?3) ?4) ?4) (nand ?3 (nand ?4 ?2)) =>= ?3
          [4, 3, 2] by c16 ?2 ?3 ?4
4700: Goal:
4700:  Id :   1, {_}:
          nand a (nand b (nand a c)) =<= nand (nand (nand c b) b) a
          [] by prove_meredith_2_basis_2
% SZS status Timeout for BOO108-1.p
4780: Facts:
4780:  Id :   2, {_}:
          apply (apply (apply b ?2) ?3) ?4 =>= apply ?2 (apply ?3 ?4)
          [4, 3, 2] by b_definition ?2 ?3 ?4
4780:  Id :   3, {_}:
          apply (apply w ?6) ?7 =?= apply (apply ?6 ?7) ?7
          [7, 6] by w_definition ?6 ?7
4780:  Id :   4, {_}:
          strong_fixed_point
          =<=
          apply (apply b (apply w w)) (apply (apply b w) (apply (apply b b) b))
          [] by strong_fixed_point
4780: Goal:
4780:  Id :   1, {_}:
          apply strong_fixed_point fixed_pt
          =<=
          apply fixed_pt (apply strong_fixed_point fixed_pt)
          [] by prove_strong_fixed_point
% SZS status Timeout for COL003-12.p
4830: Facts:
4830:  Id :   2, {_}:
          apply (apply (apply b ?2) ?3) ?4 =>= apply ?2 (apply ?3 ?4)
          [4, 3, 2] by b_definition ?2 ?3 ?4
4830:  Id :   3, {_}:
          apply (apply w ?6) ?7 =?= apply (apply ?6 ?7) ?7
          [7, 6] by w_definition ?6 ?7
4830:  Id :   4, {_}:
          strong_fixed_point
          =<=
          apply
            (apply b
              (apply (apply b (apply (apply b (apply w w)) (apply b w))) b)) b
          [] by strong_fixed_point
4830: Goal:
4830:  Id :   1, {_}:
          apply strong_fixed_point fixed_pt
          =<=
          apply fixed_pt (apply strong_fixed_point fixed_pt)
          [] by prove_strong_fixed_point
% SZS status Timeout for COL003-17.p
4857: Facts:
4857:  Id :   2, {_}:
          apply (apply (apply b ?2) ?3) ?4 =>= apply ?2 (apply ?3 ?4)
          [4, 3, 2] by b_definition ?2 ?3 ?4
4857:  Id :   3, {_}:
          apply (apply w ?6) ?7 =?= apply (apply ?6 ?7) ?7
          [7, 6] by w_definition ?6 ?7
4857:  Id :   4, {_}:
          strong_fixed_point
          =<=
          apply (apply b (apply (apply b (apply w w)) (apply b w)))
            (apply (apply b b) b)
          [] by strong_fixed_point
4857: Goal:
4857:  Id :   1, {_}:
          apply strong_fixed_point fixed_pt
          =<=
          apply fixed_pt (apply strong_fixed_point fixed_pt)
          [] by prove_strong_fixed_point
% SZS status Timeout for COL003-18.p
4899: Facts:
4899:  Id :   2, {_}:
          apply (apply (apply b ?2) ?3) ?4 =>= apply ?2 (apply ?3 ?4)
          [4, 3, 2] by b_definition ?2 ?3 ?4
4899:  Id :   3, {_}:
          apply (apply w ?6) ?7 =?= apply (apply ?6 ?7) ?7
          [7, 6] by w_definition ?6 ?7
4899:  Id :   4, {_}:
          strong_fixed_point
          =<=
          apply
            (apply b
              (apply (apply b (apply w w)) (apply (apply b (apply b w)) b))) b
          [] by strong_fixed_point
4899: Goal:
4899:  Id :   1, {_}:
          apply strong_fixed_point fixed_pt
          =<=
          apply fixed_pt (apply strong_fixed_point fixed_pt)
          [] by prove_strong_fixed_point
% SZS status Timeout for COL003-19.p
4940: Facts:
4940:  Id :   2, {_}:
          apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5)
          [5, 4, 3] by b_definition ?3 ?4 ?5
4940:  Id :   3, {_}:
          apply (apply w ?7) ?8 =?= apply (apply ?7 ?8) ?8
          [8, 7] by w_definition ?7 ?8
4940: Goal:
4940:  Id :   1, {_}:
          apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1))
          [1] by prove_strong_fixed_point ?1
% SZS status Timeout for COL003-1.p
4983: Facts:
4983:  Id :   2, {_}:
          apply (apply (apply b ?2) ?3) ?4 =>= apply ?2 (apply ?3 ?4)
          [4, 3, 2] by b_definition ?2 ?3 ?4
4983:  Id :   3, {_}:
          apply (apply w ?6) ?7 =?= apply (apply ?6 ?7) ?7
          [7, 6] by w_definition ?6 ?7
4983:  Id :   4, {_}:
          strong_fixed_point
          =<=
          apply (apply b (apply w w))
            (apply (apply b (apply b w)) (apply (apply b b) b))
          [] by strong_fixed_point
4983: Goal:
4983:  Id :   1, {_}:
          apply strong_fixed_point fixed_pt
          =<=
          apply fixed_pt (apply strong_fixed_point fixed_pt)
          [] by prove_strong_fixed_point
% SZS status Timeout for COL003-20.p
5011: Facts:
5011:  Id :   2, {_}:
          apply (apply (apply s ?3) ?4) ?5
          =?=
          apply (apply ?3 ?5) (apply ?4 ?5)
          [5, 4, 3] by s_definition ?3 ?4 ?5
5011:  Id :   3, {_}: apply (apply k ?7) ?8 =>= ?7 [8, 7] by k_definition ?7 ?8
5011: Goal:
5011:  Id :   1, {_}:
          apply (apply ?1 (f ?1)) (g ?1)
          =<=
          apply (g ?1) (apply (apply (f ?1) (f ?1)) (g ?1))
          [1] by prove_u_combinator ?1
% SZS status Timeout for COL004-1.p
5061: Facts:
5061:  Id :   2, {_}:
          apply (apply (apply s ?2) ?3) ?4
          =?=
          apply (apply ?2 ?4) (apply ?3 ?4)
          [4, 3, 2] by s_definition ?2 ?3 ?4
5061:  Id :   3, {_}: apply (apply k ?6) ?7 =>= ?6 [7, 6] by k_definition ?6 ?7
5061: Goal:
5061:  Id :   1, {_}:
          apply
            (apply
              (apply (apply s (apply k (apply s (apply (apply s k) k))))
                (apply (apply s (apply (apply s k) k)) (apply (apply s k) k)))
              x) y
          =>=
          apply y (apply (apply x x) y)
          [] by prove_u_combinator
Statistics :
Max weight : 29
Found proof, 0.198880s
% SZS status Unsatisfiable for COL004-3.p
% SZS output start CNFRefutation for COL004-3.p
Id :   3, {_}: apply (apply k ?6) ?7 =>= ?6 [7, 6] by k_definition ?6 ?7
Id :   2, {_}: apply (apply (apply s ?2) ?3) ?4 =?= apply (apply ?2 ?4) (apply ?3 ?4) [4, 3, 2] by s_definition ?2 ?3 ?4
Id :  29, {_}: apply y (apply (apply x x) y) === apply y (apply (apply x x) y) [] by Demod 28 with 3 at 1,2
Id :  28, {_}: apply (apply (apply k y) (apply k y)) (apply (apply x x) y) =>= apply y (apply (apply x x) y) [] by Demod 27 with 2 at 1,2
Id :  27, {_}: apply (apply (apply (apply s k) k) y) (apply (apply x x) y) =>= apply y (apply (apply x x) y) [] by Demod 26 with 2 at 2
Id :  26, {_}: apply (apply (apply s (apply (apply s k) k)) (apply x x)) y =>= apply y (apply (apply x x) y) [] by Demod 25 with 3 at 2,2,1,2
Id :  25, {_}: apply (apply (apply s (apply (apply s k) k)) (apply x (apply (apply k x) (apply k x)))) y =>= apply y (apply (apply x x) y) [] by Demod 24 with 3 at 1,2,1,2
Id :  24, {_}: apply (apply (apply s (apply (apply s k) k)) (apply (apply (apply k x) (apply k x)) (apply (apply k x) (apply k x)))) y =>= apply y (apply (apply x x) y) [] by Demod 17 with 3 at 1,1,2
Id :  17, {_}: apply (apply (apply (apply k (apply s (apply (apply s k) k))) x) (apply (apply (apply k x) (apply k x)) (apply (apply k x) (apply k x)))) y =>= apply y (apply (apply x x) y) [] by Demod 16 with 2 at 2,2,1,2
Id :  16, {_}: apply (apply (apply (apply k (apply s (apply (apply s k) k))) x) (apply (apply (apply k x) (apply k x)) (apply (apply (apply s k) k) x))) y =>= apply y (apply (apply x x) y) [] by Demod 15 with 2 at 1,2,1,2
Id :  15, {_}: apply (apply (apply (apply k (apply s (apply (apply s k) k))) x) (apply (apply (apply (apply s k) k) x) (apply (apply (apply s k) k) x))) y =>= apply y (apply (apply x x) y) [] by Demod 14 with 2 at 2,1,2
Id :  14, {_}: apply (apply (apply (apply k (apply s (apply (apply s k) k))) x) (apply (apply (apply s (apply (apply s k) k)) (apply (apply s k) k)) x)) y =>= apply y (apply (apply x x) y) [] by Demod 1 with 2 at 1,2
Id :   1, {_}: apply (apply (apply (apply s (apply k (apply s (apply (apply s k) k)))) (apply (apply s (apply (apply s k) k)) (apply (apply s k) k))) x) y =>= apply y (apply (apply x x) y) [] by prove_u_combinator
% SZS output end CNFRefutation for COL004-3.p
5063: solved COL004-3.p in 0.020001 using lpo
!! infer_left                                       1    0.0000    0.0000    0.0000
!! infer_right                                      2    0.1920    0.1910    0.0960
!! simplify_goal                                    2    0.0062    0.0044    0.0031
!! keep_simplified                                  2    0.0002    0.0001    0.0001
!! simplification_step                              2    0.0002    0.0001    0.0001
!! simplify                                        17    0.1876    0.1846    0.0110
!! orphan_murder                                    2    0.0000    0.0000    0.0000
!! is_subsumed                                     14    0.0002    0.0000    0.0000
!! build_new_clause                                14    0.0037    0.0008    0.0003
!! demodulate                                      16    0.1935    0.1845    0.0121
!! demod                                          281    0.1911    0.1843    0.0007
!! demod.apply_subst                               70    0.0001    0.0000    0.0000
!! demod.compare_terms                             31    0.1893    0.1843    0.0061
!! demod.retrieve_generalizations                 281    0.0010    0.0000    0.0000
!! demod.unify                                     48    0.0002    0.0000    0.0000
!! build_clause                                    24    0.0055    0.0008    0.0002
!! compare_terms(lpo)                              80    0.1972    0.1843    0.0025
!! compare_terms(nrkbo)                             3    0.0001    0.0000    0.0000
5069: Facts:
5069:  Id :   2, {_}:
          apply (apply (apply s ?3) ?4) ?5
          =?=
          apply (apply ?3 ?5) (apply ?4 ?5)
          [5, 4, 3] by s_definition ?3 ?4 ?5
5069:  Id :   3, {_}:
          apply (apply w ?7) ?8 =?= apply (apply ?7 ?8) ?8
          [8, 7] by w_definition ?7 ?8
5069: Goal:
5069:  Id :   1, {_}: ?1 =<= apply combinator ?1 [1] by prove_model ?1
% SZS status Timeout for COL005-1.p
5115: Facts:
5115:  Id :   2, {_}:
          apply (apply (apply s ?3) ?4) ?5
          =?=
          apply (apply ?3 ?5) (apply ?4 ?5)
          [5, 4, 3] by s_definition ?3 ?4 ?5
5115:  Id :   3, {_}: apply (apply k ?7) ?8 =>= ?7 [8, 7] by k_definition ?7 ?8
5115: Goal:
5115:  Id :   1, {_}:
          apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1))
          [1] by prove_fixed_point ?1
% SZS status Timeout for COL006-1.p
5158: Facts:
5158:  Id :   2, {_}:
          apply (apply (apply s ?2) ?3) ?4
          =?=
          apply (apply ?2 ?4) (apply ?3 ?4)
          [4, 3, 2] by s_definition ?2 ?3 ?4
5158:  Id :   3, {_}: apply (apply k ?6) ?7 =>= ?6 [7, 6] by k_definition ?6 ?7
5158:  Id :   4, {_}:
          strong_fixed_point
          =<=
          apply
            (apply s
              (apply k
                (apply (apply s (apply (apply s k) k)) (apply (apply s k) k))))
            (apply (apply s (apply k (apply (apply s s) (apply s k))))
              (apply (apply s (apply k s)) k))
          [] by strong_fixed_point
5158: Goal:
5158:  Id :   1, {_}:
          apply strong_fixed_point fixed_pt
          =<=
          apply fixed_pt (apply strong_fixed_point fixed_pt)
          [] by prove_strong_fixed_point
% SZS status Timeout for COL006-5.p
5185: Facts:
5185:  Id :   2, {_}:
          apply (apply (apply s ?2) ?3) ?4
          =?=
          apply (apply ?2 ?4) (apply ?3 ?4)
          [4, 3, 2] by s_definition ?2 ?3 ?4
5185:  Id :   3, {_}: apply (apply k ?6) ?7 =>= ?6 [7, 6] by k_definition ?6 ?7
5185:  Id :   4, {_}:
          strong_fixed_point
          =<=
          apply
            (apply s
              (apply k
                (apply (apply s (apply (apply s k) k)) (apply (apply s k) k))))
            (apply (apply s (apply (apply s (apply k s)) k))
              (apply k
                (apply (apply s (apply (apply s k) k)) (apply (apply s k) k))))
          [] by strong_fixed_point
5185: Goal:
5185:  Id :   1, {_}:
          apply strong_fixed_point fixed_pt
          =<=
          apply fixed_pt (apply strong_fixed_point fixed_pt)
          [] by prove_strong_fixed_point
% SZS status Timeout for COL006-6.p
5226: Facts:
5226:  Id :   2, {_}:
          apply (apply (apply s ?2) ?3) ?4
          =?=
          apply (apply ?2 ?4) (apply ?3 ?4)
          [4, 3, 2] by s_definition ?2 ?3 ?4
5226:  Id :   3, {_}: apply (apply k ?6) ?7 =>= ?6 [7, 6] by k_definition ?6 ?7
5226:  Id :   4, {_}:
          strong_fixed_point
          =<=
          apply
            (apply s
              (apply k
                (apply (apply (apply s s) (apply (apply s k) k))
                  (apply (apply s s) (apply s k)))))
            (apply (apply s (apply k s)) k)
          [] by strong_fixed_point
5226: Goal:
5226:  Id :   1, {_}:
          apply strong_fixed_point fixed_pt
          =<=
          apply fixed_pt (apply strong_fixed_point fixed_pt)
          [] by prove_strong_fixed_point
% SZS status Timeout for COL006-7.p
5253: Facts:
5253:  Id :   2, {_}:
          apply (apply o ?3) ?4 =?= apply ?4 (apply ?3 ?4)
          [4, 3] by o_definition ?3 ?4
5253:  Id :   3, {_}:
          apply (apply (apply q1 ?6) ?7) ?8 =>= apply ?6 (apply ?8 ?7)
          [8, 7, 6] by q1_definition ?6 ?7 ?8
5253: Goal:
5253:  Id :   1, {_}: ?1 =<= apply combinator ?1 [1] by prove_fixed_point ?1
% SZS status Timeout for COL011-1.p
5307: Facts:
5307:  Id :   2, {_}:
          apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5)
          [5, 4, 3] by b_definition ?3 ?4 ?5
5307:  Id :   3, {_}: apply m ?7 =?= apply ?7 ?7 [7] by m_definition ?7
5307:  Id :   4, {_}:
          apply (apply t ?9) ?10 =>= apply ?10 ?9
          [10, 9] by t_definition ?9 ?10
5307: Goal:
5307:  Id :   1, {_}:
          apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1))
          [1] by prove_fixed_point ?1
Goal subsumed
Statistics :
Max weight : 62
Found proof, 4.025913s
% SZS status Unsatisfiable for COL034-1.p
% SZS output start CNFRefutation for COL034-1.p
Id :   3, {_}: apply m ?7 =?= apply ?7 ?7 [7] by m_definition ?7
Id :   4, {_}: apply (apply t ?9) ?10 =>= apply ?10 ?9 [10, 9] by t_definition ?9 ?10
Id :   2, {_}: apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5) [5, 4, 3] by b_definition ?3 ?4 ?5
Id :  11, {_}: apply m (apply (apply b ?29) ?30) =<= apply ?29 (apply ?30 (apply (apply b ?29) ?30)) [30, 29] by Super 2 with 3 at 2
Id : 2520, {_}: apply (f (apply (apply b m) (apply (apply b (apply t m)) b))) (apply m (apply (apply b (f (apply (apply b m) (apply (apply b (apply t m)) b)))) m)) === apply (f (apply (apply b m) (apply (apply b (apply t m)) b))) (apply m (apply (apply b (f (apply (apply b m) (apply (apply b (apply t m)) b)))) m)) [] by Super 2519 with 11 at 2
Id : 2519, {_}: apply ?1967 (apply (apply ?1969 (f (apply (apply b ?1967) (apply (apply b (apply t ?1968)) ?1969)))) ?1968) =<= apply (f (apply (apply b ?1967) (apply (apply b (apply t ?1968)) ?1969))) (apply ?1967 (apply (apply ?1969 (f (apply (apply b ?1967) (apply (apply b (apply t ?1968)) ?1969)))) ?1968)) [1968, 1969, 1967] by Demod 2269 with 4 at 2,2
Id : 2269, {_}: apply ?1967 (apply (apply t ?1968) (apply ?1969 (f (apply (apply b ?1967) (apply (apply b (apply t ?1968)) ?1969))))) =<= apply (f (apply (apply b ?1967) (apply (apply b (apply t ?1968)) ?1969))) (apply ?1967 (apply (apply ?1969 (f (apply (apply b ?1967) (apply (apply b (apply t ?1968)) ?1969)))) ?1968)) [1969, 1968, 1967] by Super 53 with 4 at 2,2,3
Id :  53, {_}: apply ?78 (apply ?79 (apply ?80 (f (apply (apply b ?78) (apply (apply b ?79) ?80))))) =<= apply (f (apply (apply b ?78) (apply (apply b ?79) ?80))) (apply ?78 (apply ?79 (apply ?80 (f (apply (apply b ?78) (apply (apply b ?79) ?80)))))) [80, 79, 78] by Demod 39 with 2 at 2,2
Id :  39, {_}: apply ?78 (apply (apply (apply b ?79) ?80) (f (apply (apply b ?78) (apply (apply b ?79) ?80)))) =<= apply (f (apply (apply b ?78) (apply (apply b ?79) ?80))) (apply ?78 (apply ?79 (apply ?80 (f (apply (apply b ?78) (apply (apply b ?79) ?80)))))) [80, 79, 78] by Super 8 with 2 at 2,2,3
Id :   8, {_}: apply ?20 (apply ?21 (f (apply (apply b ?20) ?21))) =<= apply (f (apply (apply b ?20) ?21)) (apply ?20 (apply ?21 (f (apply (apply b ?20) ?21)))) [21, 20] by Demod 7 with 2 at 2
Id :   7, {_}: apply (apply (apply b ?20) ?21) (f (apply (apply b ?20) ?21)) =<= apply (f (apply (apply b ?20) ?21)) (apply ?20 (apply ?21 (f (apply (apply b ?20) ?21)))) [21, 20] by Super 1 with 2 at 2,3
Id :   1, {_}: apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1)) [1] by prove_fixed_point ?1
% SZS output end CNFRefutation for COL034-1.p
5307: solved COL034-1.p in 0.81205 using nrkbo
!! infer_left                                     160    1.4963    0.9109    0.0094
!! infer_right                                     42    1.9932    0.4467    0.0475
!! simplify_goal                                  375    1.5051    0.4070    0.0040
!! keep_simplified                                 69    0.0873    0.0043    0.0013
!! simplification_step                             71    0.0870    0.0043    0.0012
!! simplify                                      1547    1.6193    0.4128    0.0010
!! orphan_murder                                   69    0.0007    0.0000    0.0000
!! deep_eq                                        304    0.4434    0.4007    0.0015
!! is_subsumed                                   1429    0.4280    0.4123    0.0003
!! build_new_clause                               951    0.8569    0.4084    0.0009
!! demodulate                                    1875    2.2463    0.4070    0.0012
!! demod                                        61273    2.1175    0.4044    0.0000
!! demod.apply_subst                            20392    0.8439    0.4044    0.0000
!! demod.compare_terms                           9141    0.0493    0.0005    0.0000
!! demod.retrieve_generalizations               61273    0.5884    0.4001    0.0000
!! demod.unify                                  35566    0.4709    0.4003    0.0000
!! build_clause                                  2506    0.0578    0.0013    0.0000
!! compare_terms(nrkbo)                         12011    0.0605    0.0012    0.0000
!! compare_terms(nrkbo)                             4    0.0001    0.0000    0.0000
5315: Facts:
5315:  Id :   2, {_}:
          apply (apply (apply s ?3) ?4) ?5
          =?=
          apply (apply ?3 ?5) (apply ?4 ?5)
          [5, 4, 3] by s_definition ?3 ?4 ?5
5315:  Id :   3, {_}:
          apply (apply (apply b ?7) ?8) ?9 =>= apply ?7 (apply ?8 ?9)
          [9, 8, 7] by b_definition ?7 ?8 ?9
5315:  Id :   4, {_}:
          apply (apply t ?11) ?12 =>= apply ?12 ?11
          [12, 11] by t_definition ?11 ?12
5315: Goal:
5315:  Id :   1, {_}:
          apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1))
          [1] by prove_fixed_point ?1
% SZS status Timeout for COL036-1.p
5345: Facts:
5345:  Id :   2, {_}:
          apply (apply (apply s ?3) ?4) ?5
          =?=
          apply (apply ?3 ?5) (apply ?4 ?5)
          [5, 4, 3] by s_definition ?3 ?4 ?5
5345:  Id :   3, {_}:
          apply (apply (apply b ?7) ?8) ?9 =>= apply ?7 (apply ?8 ?9)
          [9, 8, 7] by b_definition ?7 ?8 ?9
5345:  Id :   4, {_}:
          apply (apply (apply c ?11) ?12) ?13 =>= apply (apply ?11 ?13) ?12
          [13, 12, 11] by c_definition ?11 ?12 ?13
5345: Goal:
5345:  Id :   1, {_}:
          apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1))
          [1] by prove_fixed_point ?1
% SZS status Timeout for COL037-1.p
5384: Facts:
5384:  Id :   2, {_}:
          apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5)
          [5, 4, 3] by b_definition ?3 ?4 ?5
5384:  Id :   3, {_}: apply m ?7 =?= apply ?7 ?7 [7] by m_definition ?7
5384:  Id :   4, {_}:
          apply (apply (apply v ?9) ?10) ?11 =>= apply (apply ?11 ?9) ?10
          [11, 10, 9] by v_definition ?9 ?10 ?11
5384: Goal:
5384:  Id :   1, {_}:
          apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1))
          [1] by prove_fixed_point ?1
% SZS status Timeout for COL038-1.p
5417: Facts:
5417:  Id :   2, {_}:
          apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5)
          [5, 4, 3] by b_definition ?3 ?4 ?5
5417:  Id :   3, {_}: apply m ?7 =?= apply ?7 ?7 [7] by m_definition ?7
5417:  Id :   4, {_}:
          apply (apply (apply c ?9) ?10) ?11 =>= apply (apply ?9 ?11) ?10
          [11, 10, 9] by c_definition ?9 ?10 ?11
5417: Goal:
5417:  Id :   1, {_}:
          apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1))
          [1] by prove_fixed_point ?1
Goal subsumed
Statistics :
Max weight : 54
Found proof, 2.343424s
% SZS status Unsatisfiable for COL041-1.p
% SZS output start CNFRefutation for COL041-1.p
Id :   4, {_}: apply (apply (apply c ?9) ?10) ?11 =>= apply (apply ?9 ?11) ?10 [11, 10, 9] by c_definition ?9 ?10 ?11
Id :   3, {_}: apply m ?7 =?= apply ?7 ?7 [7] by m_definition ?7
Id :  12, {_}: apply m ?33 =?= apply ?33 ?33 [33] by m_definition ?33
Id :   2, {_}: apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5) [5, 4, 3] by b_definition ?3 ?4 ?5
Id :  15, {_}: apply m ?39 =?= apply m ?39 [39] by Super 12 with 3 at 3
Id :  11, {_}: apply m (apply (apply b ?30) ?31) =<= apply ?30 (apply ?31 (apply (apply b ?30) ?31)) [31, 30] by Super 2 with 3 at 2
Id : 1701, {_}: apply (f (apply (apply b m) (apply (apply c b) m))) (apply m (apply (apply b (f (apply (apply b m) (apply (apply c b) m)))) m)) =?= apply (f (apply (apply b m) (apply (apply c b) m))) (apply m (apply (apply b (f (apply (apply b m) (apply (apply c b) m)))) m)) [] by Super 1700 with 11 at 2
Id : 1700, {_}: apply m (apply (apply ?1856 (f (apply (apply b m) (apply (apply c ?1856) ?1857)))) ?1857) =<= apply (f (apply (apply b m) (apply (apply c ?1856) ?1857))) (apply m (apply (apply ?1856 (f (apply (apply b m) (apply (apply c ?1856) ?1857)))) ?1857)) [1857, 1856] by Demod 1667 with 4 at 2,2
Id : 1667, {_}: apply m (apply (apply (apply c ?1856) ?1857) (f (apply (apply b m) (apply (apply c ?1856) ?1857)))) =<= apply (f (apply (apply b m) (apply (apply c ?1856) ?1857))) (apply m (apply (apply ?1856 (f (apply (apply b m) (apply (apply c ?1856) ?1857)))) ?1857)) [1857, 1856] by Super 48 with 4 at 2,2,3
Id :  48, {_}: apply m (apply ?112 (f (apply (apply b m) ?112))) =<= apply (f (apply (apply b m) ?112)) (apply m (apply ?112 (f (apply (apply b m) ?112)))) [112] by Super 8 with 15 at 2,3
Id :   8, {_}: apply ?21 (apply ?22 (f (apply (apply b ?21) ?22))) =<= apply (f (apply (apply b ?21) ?22)) (apply ?21 (apply ?22 (f (apply (apply b ?21) ?22)))) [22, 21] by Demod 7 with 2 at 2
Id :   7, {_}: apply (apply (apply b ?21) ?22) (f (apply (apply b ?21) ?22)) =<= apply (f (apply (apply b ?21) ?22)) (apply ?21 (apply ?22 (f (apply (apply b ?21) ?22)))) [22, 21] by Super 1 with 2 at 2,3
Id :   1, {_}: apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1)) [1] by prove_fixed_point ?1
% SZS output end CNFRefutation for COL041-1.p
5418: solved COL041-1.p in 0.588036 using kbo
!! infer_left                                     119    0.6824    0.3811    0.0057
!! infer_right                                     34    1.5736    0.3542    0.0463
!! simplify_goal                                  297    0.6951    0.3339    0.0023
!! keep_simplified                                 42    0.0536    0.0035    0.0013
!! simplification_step                             44    0.0534    0.0029    0.0012
!! simplify                                      1311    1.5782    0.3287    0.0012
!! orphan_murder                                   42    0.0004    0.0000    0.0000
!! deep_eq                                        232    0.0220    0.0004    0.0001
!! is_subsumed                                   1308    0.0172    0.0002    0.0000
!! build_new_clause                              1024    0.0360    0.0053    0.0000
!! demodulate                                    1605    2.2286    0.3336    0.0014
!! demod                                        39040    2.1588    0.3321    0.0001
!! demod.apply_subst                            28136    0.5731    0.3321    0.0000
!! demod.compare_terms                          13478    0.0789    0.0005    0.0000
!! demod.retrieve_generalizations               39040    0.4000    0.3001    0.0000
!! demod.unify                                  28835    0.0508    0.0011    0.0000
!! build_clause                                  1821    0.0339    0.0009    0.0000
!! compare_terms(kbo)                           16000    0.0760    0.0006    0.0000
!! compare_terms(nrkbo)                             4    0.0001    0.0000    0.0000
5436: Facts:
5436:  Id :   2, {_}:
          apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5)
          [5, 4, 3] by b_definition ?3 ?4 ?5
5436:  Id :   3, {_}:
          apply (apply w1 ?7) ?8 =?= apply (apply ?8 ?7) ?7
          [8, 7] by w1_definition ?7 ?8
5436: Goal:
5436:  Id :   1, {_}:
          apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1))
          [1] by prove_fixed_point ?1
% SZS status Timeout for COL042-1.p
5465: Facts:
5465:  Id :   2, {_}:
          apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5)
          [5, 4, 3] by b_definition ?3 ?4 ?5
5465:  Id :   3, {_}:
          apply (apply (apply h ?7) ?8) ?9
          =?=
          apply (apply (apply ?7 ?8) ?9) ?8
          [9, 8, 7] by h_definition ?7 ?8 ?9
5465: Goal:
5465:  Id :   1, {_}:
          apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1))
          [1] by prove_fixed_point ?1
% SZS status Timeout for COL043-1.p
5503: Facts:
5503:  Id :   2, {_}:
          apply (apply (apply b ?2) ?3) ?4 =>= apply ?2 (apply ?3 ?4)
          [4, 3, 2] by b_definition ?2 ?3 ?4
5503:  Id :   3, {_}:
          apply (apply (apply h ?6) ?7) ?8
          =?=
          apply (apply (apply ?6 ?7) ?8) ?7
          [8, 7, 6] by h_definition ?6 ?7 ?8
5503:  Id :   4, {_}:
          strong_fixed_point
          =<=
          apply
            (apply b
              (apply
                (apply b
                  (apply
                    (apply h
                      (apply (apply b (apply (apply b h) (apply b b)))
                        (apply h (apply (apply b h) (apply b b))))) h)) b)) b
          [] by strong_fixed_point
5503: Goal:
5503:  Id :   1, {_}:
          apply strong_fixed_point fixed_pt
          =<=
          apply fixed_pt (apply strong_fixed_point fixed_pt)
          [] by prove_strong_fixed_point
% SZS status Timeout for COL043-3.p
5599: Facts:
5599:  Id :   2, {_}:
          apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5)
          [5, 4, 3] by b_definition ?3 ?4 ?5
5599:  Id :   3, {_}:
          apply (apply (apply n ?7) ?8) ?9
          =?=
          apply (apply (apply ?7 ?9) ?8) ?9
          [9, 8, 7] by n_definition ?7 ?8 ?9
5599: Goal:
5599:  Id :   1, {_}:
          apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1))
          [1] by prove_fixed_point ?1
% SZS status Timeout for COL044-1.p
5637: Facts:
5637:  Id :   2, {_}:
          apply (apply (apply b ?2) ?3) ?4 =>= apply ?2 (apply ?3 ?4)
          [4, 3, 2] by b_definition ?2 ?3 ?4
5637:  Id :   3, {_}:
          apply (apply (apply n ?6) ?7) ?8
          =?=
          apply (apply (apply ?6 ?8) ?7) ?8
          [8, 7, 6] by n_definition ?6 ?7 ?8
5637:  Id :   4, {_}:
          strong_fixed_point
          =<=
          apply
            (apply b
              (apply
                (apply b
                  (apply
                    (apply n
                      (apply (apply b b)
                        (apply (apply n (apply (apply b b) n)) n))) n)) b)) b
          [] by strong_fixed_point
5637: Goal:
5637:  Id :   1, {_}:
          apply strong_fixed_point fixed_pt
          =<=
          apply fixed_pt (apply strong_fixed_point fixed_pt)
          [] by prove_strong_fixed_point
% SZS status Timeout for COL044-6.p
5664: Facts:
5664:  Id :   2, {_}:
          apply (apply (apply b ?2) ?3) ?4 =>= apply ?2 (apply ?3 ?4)
          [4, 3, 2] by b_definition ?2 ?3 ?4
5664:  Id :   3, {_}:
          apply (apply (apply n ?6) ?7) ?8
          =?=
          apply (apply (apply ?6 ?8) ?7) ?8
          [8, 7, 6] by n_definition ?6 ?7 ?8
5664:  Id :   4, {_}:
          strong_fixed_point
          =<=
          apply
            (apply b
              (apply
                (apply b
                  (apply
                    (apply n
                      (apply (apply b b)
                        (apply (apply n (apply n (apply b b))) n))) n)) b)) b
          [] by strong_fixed_point
5664: Goal:
5664:  Id :   1, {_}:
          apply strong_fixed_point fixed_pt
          =<=
          apply fixed_pt (apply strong_fixed_point fixed_pt)
          [] by prove_strong_fixed_point
% SZS status Timeout for COL044-7.p
5711: Facts:
5711:  Id :   2, {_}:
          apply (apply (apply b ?2) ?3) ?4 =>= apply ?2 (apply ?3 ?4)
          [4, 3, 2] by b_definition ?2 ?3 ?4
5711:  Id :   3, {_}:
          apply (apply (apply n ?6) ?7) ?8
          =?=
          apply (apply (apply ?6 ?8) ?7) ?8
          [8, 7, 6] by n_definition ?6 ?7 ?8
5711:  Id :   4, {_}:
          strong_fixed_point
          =<=
          apply
            (apply b
              (apply
                (apply b
                  (apply
                    (apply n
                      (apply n
                        (apply (apply b (apply b b))
                          (apply n (apply (apply b b) n))))) n)) b)) b
          [] by strong_fixed_point
5711: Goal:
5711:  Id :   1, {_}:
          apply strong_fixed_point fixed_pt
          =<=
          apply fixed_pt (apply strong_fixed_point fixed_pt)
          [] by prove_strong_fixed_point
% SZS status Timeout for COL044-8.p
5740: Facts:
5740:  Id :   2, {_}:
          apply (apply (apply b ?2) ?3) ?4 =>= apply ?2 (apply ?3 ?4)
          [4, 3, 2] by b_definition ?2 ?3 ?4
5740:  Id :   3, {_}:
          apply (apply (apply n ?6) ?7) ?8
          =?=
          apply (apply (apply ?6 ?8) ?7) ?8
          [8, 7, 6] by n_definition ?6 ?7 ?8
5740:  Id :   4, {_}:
          strong_fixed_point
          =<=
          apply
            (apply b
              (apply
                (apply b
                  (apply
                    (apply n
                      (apply n
                        (apply (apply b (apply b b))
                          (apply n (apply n (apply b b)))))) n)) b)) b
          [] by strong_fixed_point
5740: Goal:
5740:  Id :   1, {_}:
          apply strong_fixed_point fixed_pt
          =<=
          apply fixed_pt (apply strong_fixed_point fixed_pt)
          [] by prove_strong_fixed_point
% SZS status Timeout for COL044-9.p
5784: Facts:
5784:  Id :   2, {_}:
          apply (apply (apply s ?3) ?4) ?5
          =?=
          apply (apply ?3 ?5) (apply ?4 ?5)
          [5, 4, 3] by s_definition ?3 ?4 ?5
5784:  Id :   3, {_}:
          apply (apply (apply b ?7) ?8) ?9 =>= apply ?7 (apply ?8 ?9)
          [9, 8, 7] by b_definition ?7 ?8 ?9
5784:  Id :   4, {_}: apply m ?11 =?= apply ?11 ?11 [11] by m_definition ?11
5784: Goal:
5784:  Id :   1, {_}:
          apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1))
          [1] by prove_fixed_point ?1
% SZS status Timeout for COL046-1.p
5820: Facts:
5820:  Id :   2, {_}:
          apply (apply l ?3) ?4 =?= apply ?3 (apply ?4 ?4)
          [4, 3] by l_definition ?3 ?4
5820:  Id :   3, {_}:
          apply (apply (apply q ?6) ?7) ?8 =>= apply ?7 (apply ?6 ?8)
          [8, 7, 6] by q_definition ?6 ?7 ?8
5820: Goal:
5820:  Id :   1, {_}:
          apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1))
          [1] by prove_model ?1
% SZS status Timeout for COL047-1.p
5858: Facts:
5858:  Id :   2, {_}:
          apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5)
          [5, 4, 3] by b_definition ?3 ?4 ?5
5858:  Id :   3, {_}:
          apply (apply w ?7) ?8 =?= apply (apply ?7 ?8) ?8
          [8, 7] by w_definition ?7 ?8
5858:  Id :   4, {_}: apply m ?10 =?= apply ?10 ?10 [10] by m_definition ?10
5858: Goal:
5858:  Id :   1, {_}:
          apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1))
          [1] by prove_strong_fixed_point ?1
Goal subsumed
Statistics :
Max weight : 54
Found proof, 22.743860s
% SZS status Unsatisfiable for COL049-1.p
% SZS output start CNFRefutation for COL049-1.p
Id :   3, {_}: apply (apply w ?7) ?8 =?= apply (apply ?7 ?8) ?8 [8, 7] by w_definition ?7 ?8
Id :   4, {_}: apply m ?10 =?= apply ?10 ?10 [10] by m_definition ?10
Id :   2, {_}: apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5) [5, 4, 3] by b_definition ?3 ?4 ?5
Id : 221, {_}: apply (apply w (apply b ?340)) ?341 =?= apply ?340 (apply ?341 ?341) [341, 340] by Super 2 with 3 at 2
Id : 227, {_}: apply (apply w (apply b ?356)) ?357 =>= apply ?356 (apply m ?357) [357, 356] by Super 221 with 4 at 2,3
Id : 496, {_}: apply m (apply w (apply b ?830)) =<= apply ?830 (apply m (apply w (apply b ?830))) [830] by Super 4 with 227 at 3
Id : 10345, {_}: apply (f (apply (apply b m) (apply (apply b w) b))) (apply m (apply w (apply b (f (apply (apply b m) (apply (apply b w) b)))))) === apply (f (apply (apply b m) (apply (apply b w) b))) (apply m (apply w (apply b (f (apply (apply b m) (apply (apply b w) b)))))) [] by Super 68 with 496 at 2
Id :  68, {_}: apply ?116 (apply ?117 (apply ?118 (f (apply (apply b ?116) (apply (apply b ?117) ?118))))) =<= apply (f (apply (apply b ?116) (apply (apply b ?117) ?118))) (apply ?116 (apply ?117 (apply ?118 (f (apply (apply b ?116) (apply (apply b ?117) ?118)))))) [118, 117, 116] by Demod 57 with 2 at 2,2
Id :  57, {_}: apply ?116 (apply (apply (apply b ?117) ?118) (f (apply (apply b ?116) (apply (apply b ?117) ?118)))) =<= apply (f (apply (apply b ?116) (apply (apply b ?117) ?118))) (apply ?116 (apply ?117 (apply ?118 (f (apply (apply b ?116) (apply (apply b ?117) ?118)))))) [118, 117, 116] by Super 8 with 2 at 2,2,3
Id :   8, {_}: apply ?20 (apply ?21 (f (apply (apply b ?20) ?21))) =<= apply (f (apply (apply b ?20) ?21)) (apply ?20 (apply ?21 (f (apply (apply b ?20) ?21)))) [21, 20] by Demod 7 with 2 at 2
Id :   7, {_}: apply (apply (apply b ?20) ?21) (f (apply (apply b ?20) ?21)) =<= apply (f (apply (apply b ?20) ?21)) (apply ?20 (apply ?21 (f (apply (apply b ?20) ?21)))) [21, 20] by Super 1 with 2 at 2,3
Id :   1, {_}: apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1)) [1] by prove_strong_fixed_point ?1
% SZS output end CNFRefutation for COL049-1.p
5858: solved COL049-1.p in 5.748358 using nrkbo
!! infer_left                                     468    2.4636    0.8087    0.0053
!! infer_right                                    160   13.3810    0.4290    0.0836
!! simplify_goal                                  964    4.3166    0.3088    0.0045
!! keep_simplified                                326    4.9430    0.3832    0.0152
!! simplification_step                            375    4.9413    0.3140    0.0132
!! simplify                                     21319   14.5026    0.3021    0.0007
!! orphan_murder                                  330    0.0105    0.0005    0.0000
!! deep_eq                                        713    1.8450    0.3026    0.0026
!! is_subsumed                                  20621    0.8744    0.3003    0.0000
!! build_new_clause                              5112    1.0828    0.3005    0.0002
!! demodulate                                   22076   16.0276    0.3088    0.0007
!! demod                                       432543   12.8870    0.3008    0.0000
!! demod.apply_subst                           159310    1.4948    0.3007    0.0000
!! demod.compare_terms                          76392    2.2143    0.3003    0.0000
!! demod.retrieve_generalizations              432543    2.8717    0.3001    0.0000
!! demod.unify                                 356965    1.8689    0.3001    0.0000
!! build_clause                                 10809    0.8060    0.3005    0.0001
!! compare_terms(nrkbo)                         91407    2.1963    0.3002    0.0000
!! compare_terms(nrkbo)                             4    0.0001    0.0000    0.0000
5866: Facts:
5866:  Id :   2, {_}:
          apply (apply (apply s ?3) ?4) ?5
          =?=
          apply (apply ?3 ?5) (apply ?4 ?5)
          [5, 4, 3] by s_definition ?3 ?4 ?5
5866:  Id :   3, {_}:
          apply (apply (apply b ?7) ?8) ?9 =>= apply ?7 (apply ?8 ?9)
          [9, 8, 7] by b_definition ?7 ?8 ?9
5866:  Id :   4, {_}:
          apply (apply (apply c ?11) ?12) ?13 =>= apply (apply ?11 ?13) ?12
          [13, 12, 11] by c_definition ?11 ?12 ?13
5866:  Id :   5, {_}: apply i ?15 =>= ?15 [15] by i_definition ?15
5866: Goal:
5866:  Id :   1, {_}:
          apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1))
          [1] by prove_strong_fixed_point ?1
Goal subsumed
Statistics :
Max weight : 84
Found proof, 22.725988s
% SZS status Unsatisfiable for COL057-1.p
% SZS output start CNFRefutation for COL057-1.p
Id :   3, {_}: apply (apply (apply b ?7) ?8) ?9 =>= apply ?7 (apply ?8 ?9) [9, 8, 7] by b_definition ?7 ?8 ?9
Id :   5, {_}: apply i ?15 =>= ?15 [15] by i_definition ?15
Id :   2, {_}: apply (apply (apply s ?3) ?4) ?5 =?= apply (apply ?3 ?5) (apply ?4 ?5) [5, 4, 3] by s_definition ?3 ?4 ?5
Id :  33, {_}: apply (apply (apply s i) ?122) ?123 =?= apply ?123 (apply ?122 ?123) [123, 122] by Super 2 with 5 at 1,3
Id :  16, {_}: apply (apply (apply s (apply b ?63)) ?64) ?65 =?= apply ?63 (apply ?65 (apply ?64 ?65)) [65, 64, 63] by Super 2 with 3 at 3
Id : 14156, {_}: apply (apply (apply (apply s (apply b (apply s i))) i) (apply (apply s (apply b (apply s i))) i)) (f (apply (apply (apply s (apply b (apply s i))) i) (apply i (apply (apply s (apply b (apply s i))) i)))) === apply (apply (apply (apply s (apply b (apply s i))) i) (apply (apply s (apply b (apply s i))) i)) (f (apply (apply (apply s (apply b (apply s i))) i) (apply i (apply (apply s (apply b (apply s i))) i)))) [] by Super 14147 with 5 at 2,1,2
Id : 14147, {_}: apply (apply ?19463 (apply ?19464 ?19463)) (f (apply ?19463 (apply ?19464 ?19463))) =?= apply (apply (apply (apply s (apply b (apply s i))) ?19464) ?19463) (f (apply ?19463 (apply ?19464 ?19463))) [19464, 19463] by Super 14146 with 16 at 1,3
Id : 14146, {_}: apply ?19461 (f ?19461) =<= apply (apply (apply s i) ?19461) (f ?19461) [19461] by Super 1 with 33 at 3
Id :   1, {_}: apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1)) [1] by prove_strong_fixed_point ?1
% SZS output end CNFRefutation for COL057-1.p
5866: solved COL057-1.p in 4.884304 using nrkbo
!! infer_left                                     181    0.4187    0.4098    0.0023
!! infer_right                                     85   18.7049    0.9933    0.2201
!! simplify_goal                                  253    0.4658    0.3022    0.0018
!! keep_simplified                                113    3.1852    0.4087    0.0282
!! simplification_step                            121    3.1847    0.4054    0.0263
!! simplify                                      9086   20.1824    0.4026    0.0022
!! orphan_murder                                  113    0.0034    0.0002    0.0000
!! deep_eq                                        168    0.0842    0.0012    0.0005
!! is_subsumed                                   8438    1.4708    0.4003    0.0002
!! build_new_clause                              6182    0.7566    0.4002    0.0001
!! demodulate                                    9234   19.0597    0.4026    0.0021
!! demod                                       236421   15.4350    0.4004    0.0001
!! demod.apply_subst                           133800    1.3587    0.4001    0.0000
!! demod.compare_terms                          61929    1.6840    0.4001    0.0000
!! demod.retrieve_generalizations              236421    4.1093    0.4002    0.0000
!! demod.unify                                 284639    5.0468    0.4001    0.0000
!! build_clause                                 14823    1.1964    0.4005    0.0001
!! compare_terms(nrkbo)                         82737    1.7995    0.4001    0.0000
!! compare_terms(nrkbo)                             5    0.0001    0.0000    0.0000
5882: Facts:
5882:  Id :   2, {_}:
          apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5)
          [5, 4, 3] by b_definition ?3 ?4 ?5
5882:  Id :   3, {_}:
          apply (apply t ?7) ?8 =>= apply ?8 ?7
          [8, 7] by t_definition ?7 ?8
5882: Goal:
5882:  Id :   1, {_}:
          apply (apply (apply ?1 (f ?1)) (g ?1)) (h ?1)
          =>=
          apply (g ?1) (apply (f ?1) (h ?1))
          [1] by prove_q_combinator ?1
Goal subsumed
Statistics :
Max weight : 76
Found proof, 1.310543s
% SZS status Unsatisfiable for COL060-1.p
% SZS output start CNFRefutation for COL060-1.p
Id :   3, {_}: apply (apply t ?7) ?8 =>= apply ?8 ?7 [8, 7] by t_definition ?7 ?8
Id :   2, {_}: apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5) [5, 4, 3] by b_definition ?3 ?4 ?5
Id : 447, {_}: apply (g (apply (apply b (apply t b)) (apply (apply b b) t))) (apply (f (apply (apply b (apply t b)) (apply (apply b b) t))) (h (apply (apply b (apply t b)) (apply (apply b b) t)))) === apply (g (apply (apply b (apply t b)) (apply (apply b b) t))) (apply (f (apply (apply b (apply t b)) (apply (apply b b) t))) (h (apply (apply b (apply t b)) (apply (apply b b) t)))) [] by Super 445 with 2 at 2
Id : 445, {_}: apply (apply (apply ?1404 (g (apply (apply b (apply t ?1404)) (apply (apply b b) t)))) (f (apply (apply b (apply t ?1404)) (apply (apply b b) t)))) (h (apply (apply b (apply t ?1404)) (apply (apply b b) t))) =>= apply (g (apply (apply b (apply t ?1404)) (apply (apply b b) t))) (apply (f (apply (apply b (apply t ?1404)) (apply (apply b b) t))) (h (apply (apply b (apply t ?1404)) (apply (apply b b) t)))) [1404] by Super 277 with 3 at 1,2
Id : 277, {_}: apply (apply (apply ?900 (f (apply (apply b (apply t ?901)) (apply (apply b b) ?900)))) (apply ?901 (g (apply (apply b (apply t ?901)) (apply (apply b b) ?900))))) (h (apply (apply b (apply t ?901)) (apply (apply b b) ?900))) =>= apply (g (apply (apply b (apply t ?901)) (apply (apply b b) ?900))) (apply (f (apply (apply b (apply t ?901)) (apply (apply b b) ?900))) (h (apply (apply b (apply t ?901)) (apply (apply b b) ?900)))) [901, 900] by Super 29 with 2 at 1,2
Id :  29, {_}: apply (apply (apply (apply ?85 (apply ?86 (f (apply (apply b (apply t ?87)) (apply (apply b ?85) ?86))))) ?87) (g (apply (apply b (apply t ?87)) (apply (apply b ?85) ?86)))) (h (apply (apply b (apply t ?87)) (apply (apply b ?85) ?86))) =>= apply (g (apply (apply b (apply t ?87)) (apply (apply b ?85) ?86))) (apply (f (apply (apply b (apply t ?87)) (apply (apply b ?85) ?86))) (h (apply (apply b (apply t ?87)) (apply (apply b ?85) ?86)))) [87, 86, 85] by Super 13 with 3 at 1,1,2
Id :  13, {_}: apply (apply (apply ?33 (apply ?34 (apply ?35 (f (apply (apply b ?33) (apply (apply b ?34) ?35)))))) (g (apply (apply b ?33) (apply (apply b ?34) ?35)))) (h (apply (apply b ?33) (apply (apply b ?34) ?35))) =>= apply (g (apply (apply b ?33) (apply (apply b ?34) ?35))) (apply (f (apply (apply b ?33) (apply (apply b ?34) ?35))) (h (apply (apply b ?33) (apply (apply b ?34) ?35)))) [35, 34, 33] by Super 6 with 2 at 2,1,1,2
Id :   6, {_}: apply (apply (apply ?18 (apply ?19 (f (apply (apply b ?18) ?19)))) (g (apply (apply b ?18) ?19))) (h (apply (apply b ?18) ?19)) =>= apply (g (apply (apply b ?18) ?19)) (apply (f (apply (apply b ?18) ?19)) (h (apply (apply b ?18) ?19))) [19, 18] by Super 1 with 2 at 1,1,2
Id :   1, {_}: apply (apply (apply ?1 (f ?1)) (g ?1)) (h ?1) =>= apply (g ?1) (apply (f ?1) (h ?1)) [1] by prove_q_combinator ?1
% SZS output end CNFRefutation for COL060-1.p
5882: solved COL060-1.p in 0.34002 using nrkbo
!! infer_left                                     151    1.2245    0.4046    0.0081
!! infer_right                                      2    0.0001    0.0001    0.0001
!! simplify_goal                                  619    1.2647    0.4007    0.0020
!! keep_simplified                                  2    0.0001    0.0001    0.0001
!! simplification_step                              2    0.0001    0.0001    0.0001
!! simplify                                         5    0.0001    0.0001    0.0000
!! orphan_murder                                    2    0.0000    0.0000    0.0000
!! deep_eq                                        560    0.2149    0.1803    0.0004
!! is_subsumed                                      3    0.0000    0.0000    0.0000
!! build_new_clause                               442    0.0282    0.0007    0.0001
!! demodulate                                     622    1.0287    0.4006    0.0017
!! demod                                        42572    0.9692    0.4001    0.0000
!! demod.retrieve_generalizations               42572    0.5018    0.4001    0.0000
!! build_clause                                   442    0.0193    0.0007    0.0000
!! compare_terms(nrkbo)                           445    0.0068    0.0005    0.0000
!! compare_terms(nrkbo)                             3    0.0001    0.0001    0.0000
5890: Facts:
5890:  Id :   2, {_}:
          apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5)
          [5, 4, 3] by b_definition ?3 ?4 ?5
5890:  Id :   3, {_}:
          apply (apply t ?7) ?8 =>= apply ?8 ?7
          [8, 7] by t_definition ?7 ?8
5890: Goal:
5890:  Id :   1, {_}:
          apply (apply (apply ?1 (f ?1)) (g ?1)) (h ?1)
          =>=
          apply (f ?1) (apply (h ?1) (g ?1))
          [1] by prove_q1_combinator ?1
Goal subsumed
Statistics :
Max weight : 76
Found proof, 1.469236s
% SZS status Unsatisfiable for COL061-1.p
% SZS output start CNFRefutation for COL061-1.p
Id :   3, {_}: apply (apply t ?7) ?8 =>= apply ?8 ?7 [8, 7] by t_definition ?7 ?8
Id :   2, {_}: apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5) [5, 4, 3] by b_definition ?3 ?4 ?5
Id : 447, {_}: apply (f (apply (apply b (apply t t)) (apply (apply b b) b))) (apply (h (apply (apply b (apply t t)) (apply (apply b b) b))) (g (apply (apply b (apply t t)) (apply (apply b b) b)))) === apply (f (apply (apply b (apply t t)) (apply (apply b b) b))) (apply (h (apply (apply b (apply t t)) (apply (apply b b) b))) (g (apply (apply b (apply t t)) (apply (apply b b) b)))) [] by Super 446 with 3 at 2,2
Id : 446, {_}: apply (f (apply (apply b (apply t ?1406)) (apply (apply b b) b))) (apply (apply ?1406 (g (apply (apply b (apply t ?1406)) (apply (apply b b) b)))) (h (apply (apply b (apply t ?1406)) (apply (apply b b) b)))) =>= apply (f (apply (apply b (apply t ?1406)) (apply (apply b b) b))) (apply (h (apply (apply b (apply t ?1406)) (apply (apply b b) b))) (g (apply (apply b (apply t ?1406)) (apply (apply b b) b)))) [1406] by Super 277 with 2 at 2
Id : 277, {_}: apply (apply (apply ?900 (f (apply (apply b (apply t ?901)) (apply (apply b b) ?900)))) (apply ?901 (g (apply (apply b (apply t ?901)) (apply (apply b b) ?900))))) (h (apply (apply b (apply t ?901)) (apply (apply b b) ?900))) =>= apply (f (apply (apply b (apply t ?901)) (apply (apply b b) ?900))) (apply (h (apply (apply b (apply t ?901)) (apply (apply b b) ?900))) (g (apply (apply b (apply t ?901)) (apply (apply b b) ?900)))) [901, 900] by Super 29 with 2 at 1,2
Id :  29, {_}: apply (apply (apply (apply ?85 (apply ?86 (f (apply (apply b (apply t ?87)) (apply (apply b ?85) ?86))))) ?87) (g (apply (apply b (apply t ?87)) (apply (apply b ?85) ?86)))) (h (apply (apply b (apply t ?87)) (apply (apply b ?85) ?86))) =>= apply (f (apply (apply b (apply t ?87)) (apply (apply b ?85) ?86))) (apply (h (apply (apply b (apply t ?87)) (apply (apply b ?85) ?86))) (g (apply (apply b (apply t ?87)) (apply (apply b ?85) ?86)))) [87, 86, 85] by Super 13 with 3 at 1,1,2
Id :  13, {_}: apply (apply (apply ?33 (apply ?34 (apply ?35 (f (apply (apply b ?33) (apply (apply b ?34) ?35)))))) (g (apply (apply b ?33) (apply (apply b ?34) ?35)))) (h (apply (apply b ?33) (apply (apply b ?34) ?35))) =>= apply (f (apply (apply b ?33) (apply (apply b ?34) ?35))) (apply (h (apply (apply b ?33) (apply (apply b ?34) ?35))) (g (apply (apply b ?33) (apply (apply b ?34) ?35)))) [35, 34, 33] by Super 6 with 2 at 2,1,1,2
Id :   6, {_}: apply (apply (apply ?18 (apply ?19 (f (apply (apply b ?18) ?19)))) (g (apply (apply b ?18) ?19))) (h (apply (apply b ?18) ?19)) =>= apply (f (apply (apply b ?18) ?19)) (apply (h (apply (apply b ?18) ?19)) (g (apply (apply b ?18) ?19))) [19, 18] by Super 1 with 2 at 1,1,2
Id :   1, {_}: apply (apply (apply ?1 (f ?1)) (g ?1)) (h ?1) =>= apply (f ?1) (apply (h ?1) (g ?1)) [1] by prove_q1_combinator ?1
% SZS output end CNFRefutation for COL061-1.p
5890: solved COL061-1.p in 0.344021 using nrkbo
!! infer_left                                     151    1.3813    0.4021    0.0091
!! infer_right                                      2    0.0001    0.0001    0.0001
!! simplify_goal                                  620    0.6231    0.3371    0.0010
!! keep_simplified                                  2    0.0001    0.0001    0.0001
!! simplification_step                              2    0.0001    0.0001    0.0001
!! simplify                                         5    0.0001    0.0001    0.0000
!! orphan_murder                                    2    0.0000    0.0000    0.0000
!! deep_eq                                        561    0.0353    0.0005    0.0001
!! is_subsumed                                      3    0.0000    0.0000    0.0000
!! build_new_clause                               442    0.0276    0.0008    0.0001
!! demodulate                                     623    0.5666    0.3369    0.0009
!! demod                                        42643    0.5082    0.3361    0.0000
!! demod.retrieve_generalizations               42643    0.4406    0.3361    0.0000
!! build_clause                                   442    0.0186    0.0007    0.0000
!! compare_terms(nrkbo)                           445    0.0062    0.0004    0.0000
!! compare_terms(nrkbo)                             3    0.0001    0.0001    0.0000
5898: Facts:
5898:  Id :   2, {_}:
          apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5)
          [5, 4, 3] by b_definition ?3 ?4 ?5
5898:  Id :   3, {_}:
          apply (apply t ?7) ?8 =>= apply ?8 ?7
          [8, 7] by t_definition ?7 ?8
5898: Goal:
5898:  Id :   1, {_}:
          apply (apply (apply ?1 (f ?1)) (g ?1)) (h ?1)
          =>=
          apply (apply (f ?1) (h ?1)) (g ?1)
          [1] by prove_c_combinator ?1
Goal subsumed
Statistics :
Max weight : 100
Found proof, 6.761132s
% SZS status Unsatisfiable for COL062-1.p
% SZS output start CNFRefutation for COL062-1.p
Id :   3, {_}: apply (apply t ?7) ?8 =>= apply ?8 ?7 [8, 7] by t_definition ?7 ?8
Id :   2, {_}: apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5) [5, 4, 3] by b_definition ?3 ?4 ?5
Id : 1482, {_}: apply (apply (f (apply (apply b (apply t (apply (apply b b) t))) (apply (apply b b) t))) (h (apply (apply b (apply t (apply (apply b b) t))) (apply (apply b b) t)))) (g (apply (apply b (apply t (apply (apply b b) t))) (apply (apply b b) t))) === apply (apply (f (apply (apply b (apply t (apply (apply b b) t))) (apply (apply b b) t))) (h (apply (apply b (apply t (apply (apply b b) t))) (apply (apply b b) t)))) (g (apply (apply b (apply t (apply (apply b b) t))) (apply (apply b b) t))) [] by Super 1481 with 3 at 2
Id : 1481, {_}: apply (apply ?4652 (g (apply (apply b (apply t (apply (apply b b) ?4652))) (apply (apply b b) t)))) (apply (f (apply (apply b (apply t (apply (apply b b) ?4652))) (apply (apply b b) t))) (h (apply (apply b (apply t (apply (apply b b) ?4652))) (apply (apply b b) t)))) =>= apply (apply (f (apply (apply b (apply t (apply (apply b b) ?4652))) (apply (apply b b) t))) (h (apply (apply b (apply t (apply (apply b b) ?4652))) (apply (apply b b) t)))) (g (apply (apply b (apply t (apply (apply b b) ?4652))) (apply (apply b b) t))) [4652] by Super 407 with 2 at 2
Id : 407, {_}: apply (apply (apply ?1209 (apply ?1210 (g (apply (apply b (apply t (apply (apply b ?1209) ?1210))) (apply (apply b b) t))))) (f (apply (apply b (apply t (apply (apply b ?1209) ?1210))) (apply (apply b b) t)))) (h (apply (apply b (apply t (apply (apply b ?1209) ?1210))) (apply (apply b b) t))) =>= apply (apply (f (apply (apply b (apply t (apply (apply b ?1209) ?1210))) (apply (apply b b) t))) (h (apply (apply b (apply t (apply (apply b ?1209) ?1210))) (apply (apply b b) t)))) (g (apply (apply b (apply t (apply (apply b ?1209) ?1210))) (apply (apply b b) t))) [1210, 1209] by Super 405 with 2 at 1,1,2
Id : 405, {_}: apply (apply (apply ?1205 (g (apply (apply b (apply t ?1205)) (apply (apply b b) t)))) (f (apply (apply b (apply t ?1205)) (apply (apply b b) t)))) (h (apply (apply b (apply t ?1205)) (apply (apply b b) t))) =>= apply (apply (f (apply (apply b (apply t ?1205)) (apply (apply b b) t))) (h (apply (apply b (apply t ?1205)) (apply (apply b b) t)))) (g (apply (apply b (apply t ?1205)) (apply (apply b b) t))) [1205] by Super 386 with 3 at 1,2
Id : 386, {_}: apply (apply (apply ?1151 (f (apply (apply b (apply t ?1152)) (apply (apply b b) ?1151)))) (apply ?1152 (g (apply (apply b (apply t ?1152)) (apply (apply b b) ?1151))))) (h (apply (apply b (apply t ?1152)) (apply (apply b b) ?1151))) =>= apply (apply (f (apply (apply b (apply t ?1152)) (apply (apply b b) ?1151))) (h (apply (apply b (apply t ?1152)) (apply (apply b b) ?1151)))) (g (apply (apply b (apply t ?1152)) (apply (apply b b) ?1151))) [1152, 1151] by Super 47 with 2 at 1,2
Id :  47, {_}: apply (apply (apply (apply ?123 (apply ?124 (f (apply (apply b (apply t ?125)) (apply (apply b ?123) ?124))))) ?125) (g (apply (apply b (apply t ?125)) (apply (apply b ?123) ?124)))) (h (apply (apply b (apply t ?125)) (apply (apply b ?123) ?124))) =>= apply (apply (f (apply (apply b (apply t ?125)) (apply (apply b ?123) ?124))) (h (apply (apply b (apply t ?125)) (apply (apply b ?123) ?124)))) (g (apply (apply b (apply t ?125)) (apply (apply b ?123) ?124))) [125, 124, 123] by Super 22 with 2 at 1,1,1,2
Id :  22, {_}: apply (apply (apply (apply ?57 (f (apply (apply b (apply t ?58)) ?57))) ?58) (g (apply (apply b (apply t ?58)) ?57))) (h (apply (apply b (apply t ?58)) ?57)) =>= apply (apply (f (apply (apply b (apply t ?58)) ?57)) (h (apply (apply b (apply t ?58)) ?57))) (g (apply (apply b (apply t ?58)) ?57)) [58, 57] by Super 8 with 3 at 1,1,2
Id :   8, {_}: apply (apply (apply ?24 (apply ?25 (f (apply (apply b ?24) ?25)))) (g (apply (apply b ?24) ?25))) (h (apply (apply b ?24) ?25)) =>= apply (apply (f (apply (apply b ?24) ?25)) (h (apply (apply b ?24) ?25))) (g (apply (apply b ?24) ?25)) [25, 24] by Super 1 with 2 at 1,1,2
Id :   1, {_}: apply (apply (apply ?1 (f ?1)) (g ?1)) (h ?1) =>= apply (apply (f ?1) (h ?1)) (g ?1) [1] by prove_c_combinator ?1
% SZS output end CNFRefutation for COL062-1.p
5901: solved COL062-1.p in 1.668103 using nrkbo
!! infer_left                                     521    4.0384    0.3064    0.0078
!! infer_right                                      2    0.0014    0.0013    0.0007
!! simplify_goal                                 2113    5.9728    0.3024    0.0028
!! keep_simplified                                  2    0.0002    0.0001    0.0001
!! simplification_step                              2    0.0002    0.0001    0.0001
!! simplify                                         5    0.0002    0.0001    0.0000
!! orphan_murder                                    2    0.0000    0.0000    0.0000
!! deep_eq                                       1895    0.1746    0.0004    0.0001
!! is_subsumed                                      3    0.0000    0.0000    0.0000
!! build_new_clause                              1477    0.1038    0.0009    0.0001
!! demodulate                                    2116    4.8971    0.3013    0.0023
!! demod                                       175286    3.7487    0.3006    0.0000
!! demod.retrieve_generalizations              175286    2.5695    0.3006    0.0000
!! build_clause                                  1477    0.0695    0.0008    0.0000
!! compare_terms(nrkbo)                          1480    0.0316    0.0008    0.0000
!! compare_terms(nrkbo)                             3    0.0001    0.0000    0.0000
5906: Facts:
5906:  Id :   2, {_}:
          apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5)
          [5, 4, 3] by b_definition ?3 ?4 ?5
5906:  Id :   3, {_}:
          apply (apply t ?7) ?8 =>= apply ?8 ?7
          [8, 7] by t_definition ?7 ?8
5906: Goal:
5906:  Id :   1, {_}:
          apply (apply (apply ?1 (f ?1)) (g ?1)) (h ?1)
          =>=
          apply (apply (h ?1) (g ?1)) (f ?1)
          [1] by prove_f_combinator ?1
Goal subsumed
Statistics :
Max weight : 100
Found proof, 19.957358s
% SZS status Unsatisfiable for COL063-1.p
% SZS output start CNFRefutation for COL063-1.p
Id :   3, {_}: apply (apply t ?7) ?8 =>= apply ?8 ?7 [8, 7] by t_definition ?7 ?8
Id :   2, {_}: apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5) [5, 4, 3] by b_definition ?3 ?4 ?5
Id : 3189, {_}: apply (apply (h (apply (apply b (apply t t)) (apply (apply b b) (apply (apply b b) t)))) (g (apply (apply b (apply t t)) (apply (apply b b) (apply (apply b b) t))))) (f (apply (apply b (apply t t)) (apply (apply b b) (apply (apply b b) t)))) =?= apply (apply (h (apply (apply b (apply t t)) (apply (apply b b) (apply (apply b b) t)))) (g (apply (apply b (apply t t)) (apply (apply b b) (apply (apply b b) t))))) (f (apply (apply b (apply t t)) (apply (apply b b) (apply (apply b b) t)))) [] by Super 3184 with 3 at 2
Id : 3184, {_}: apply (apply ?10590 (f (apply (apply b (apply t t)) (apply (apply b b) (apply (apply b b) ?10590))))) (apply (h (apply (apply b (apply t t)) (apply (apply b b) (apply (apply b b) ?10590)))) (g (apply (apply b (apply t t)) (apply (apply b b) (apply (apply b b) ?10590))))) =>= apply (apply (h (apply (apply b (apply t t)) (apply (apply b b) (apply (apply b b) ?10590)))) (g (apply (apply b (apply t t)) (apply (apply b b) (apply (apply b b) ?10590))))) (f (apply (apply b (apply t t)) (apply (apply b b) (apply (apply b b) ?10590)))) [10590] by Super 3164 with 3 at 2,2
Id : 3164, {_}: apply (apply ?10539 (f (apply (apply b (apply t ?10540)) (apply (apply b b) (apply (apply b b) ?10539))))) (apply (apply ?10540 (g (apply (apply b (apply t ?10540)) (apply (apply b b) (apply (apply b b) ?10539))))) (h (apply (apply b (apply t ?10540)) (apply (apply b b) (apply (apply b b) ?10539))))) =>= apply (apply (h (apply (apply b (apply t ?10540)) (apply (apply b b) (apply (apply b b) ?10539)))) (g (apply (apply b (apply t ?10540)) (apply (apply b b) (apply (apply b b) ?10539))))) (f (apply (apply b (apply t ?10540)) (apply (apply b b) (apply (apply b b) ?10539)))) [10540, 10539] by Super 442 with 2 at 2
Id : 442, {_}: apply (apply (apply ?1394 (apply ?1395 (f (apply (apply b (apply t ?1396)) (apply (apply b b) (apply (apply b ?1394) ?1395)))))) (apply ?1396 (g (apply (apply b (apply t ?1396)) (apply (apply b b) (apply (apply b ?1394) ?1395)))))) (h (apply (apply b (apply t ?1396)) (apply (apply b b) (apply (apply b ?1394) ?1395)))) =>= apply (apply (h (apply (apply b (apply t ?1396)) (apply (apply b b) (apply (apply b ?1394) ?1395)))) (g (apply (apply b (apply t ?1396)) (apply (apply b b) (apply (apply b ?1394) ?1395))))) (f (apply (apply b (apply t ?1396)) (apply (apply b b) (apply (apply b ?1394) ?1395)))) [1396, 1395, 1394] by Super 277 with 2 at 1,1,2
Id : 277, {_}: apply (apply (apply ?900 (f (apply (apply b (apply t ?901)) (apply (apply b b) ?900)))) (apply ?901 (g (apply (apply b (apply t ?901)) (apply (apply b b) ?900))))) (h (apply (apply b (apply t ?901)) (apply (apply b b) ?900))) =>= apply (apply (h (apply (apply b (apply t ?901)) (apply (apply b b) ?900))) (g (apply (apply b (apply t ?901)) (apply (apply b b) ?900)))) (f (apply (apply b (apply t ?901)) (apply (apply b b) ?900))) [901, 900] by Super 29 with 2 at 1,2
Id :  29, {_}: apply (apply (apply (apply ?85 (apply ?86 (f (apply (apply b (apply t ?87)) (apply (apply b ?85) ?86))))) ?87) (g (apply (apply b (apply t ?87)) (apply (apply b ?85) ?86)))) (h (apply (apply b (apply t ?87)) (apply (apply b ?85) ?86))) =>= apply (apply (h (apply (apply b (apply t ?87)) (apply (apply b ?85) ?86))) (g (apply (apply b (apply t ?87)) (apply (apply b ?85) ?86)))) (f (apply (apply b (apply t ?87)) (apply (apply b ?85) ?86))) [87, 86, 85] by Super 13 with 3 at 1,1,2
Id :  13, {_}: apply (apply (apply ?33 (apply ?34 (apply ?35 (f (apply (apply b ?33) (apply (apply b ?34) ?35)))))) (g (apply (apply b ?33) (apply (apply b ?34) ?35)))) (h (apply (apply b ?33) (apply (apply b ?34) ?35))) =>= apply (apply (h (apply (apply b ?33) (apply (apply b ?34) ?35))) (g (apply (apply b ?33) (apply (apply b ?34) ?35)))) (f (apply (apply b ?33) (apply (apply b ?34) ?35))) [35, 34, 33] by Super 6 with 2 at 2,1,1,2
Id :   6, {_}: apply (apply (apply ?18 (apply ?19 (f (apply (apply b ?18) ?19)))) (g (apply (apply b ?18) ?19))) (h (apply (apply b ?18) ?19)) =>= apply (apply (h (apply (apply b ?18) ?19)) (g (apply (apply b ?18) ?19))) (f (apply (apply b ?18) ?19)) [19, 18] by Super 1 with 2 at 1,1,2
Id :   1, {_}: apply (apply (apply ?1 (f ?1)) (g ?1)) (h ?1) =>= apply (apply (h ?1) (g ?1)) (f ?1) [1] by prove_f_combinator ?1
% SZS output end CNFRefutation for COL063-1.p
5907: solved COL063-1.p in 4.920307 using kbo
!! infer_left                                    1099   11.0013    0.3367    0.0100
!! infer_right                                      2    0.0002    0.0001    0.0001
!! simplify_goal                                 4558   16.7776    0.3344    0.0037
!! keep_simplified                                  2    0.0002    0.0001    0.0001
!! simplification_step                              2    0.0002    0.0001    0.0001
!! simplify                                         5    0.0002    0.0001    0.0000
!! orphan_murder                                    2    0.0000    0.0000    0.0000
!! deep_eq                                       4121    1.0438    0.3004    0.0003
!! is_subsumed                                      3    0.0000    0.0000    0.0000
!! build_new_clause                              3184    2.0617    0.3010    0.0006
!! demodulate                                    4561    9.6865    0.3341    0.0021
!! demod                                       414262    7.5831    0.3295    0.0000
!! demod.retrieve_generalizations              414262    5.3827    0.3009    0.0000
!! build_clause                                  3184    1.6785    0.3010    0.0005
!! compare_terms(kbo)                            3187    0.9758    0.3010    0.0003
!! compare_terms(nrkbo)                             3    0.0001    0.0001    0.0000
5925: Facts:
5925:  Id :   2, {_}:
          apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5)
          [5, 4, 3] by b_definition ?3 ?4 ?5
5925:  Id :   3, {_}:
          apply (apply t ?7) ?8 =>= apply ?8 ?7
          [8, 7] by t_definition ?7 ?8
5925: Goal:
5925:  Id :   1, {_}:
          apply (apply (apply ?1 (f ?1)) (g ?1)) (h ?1)
          =>=
          apply (apply (h ?1) (f ?1)) (g ?1)
          [1] by prove_v_combinator ?1
% SZS status Timeout for COL064-1.p
5968: Facts:
5968:  Id :   2, {_}:
          apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5)
          [5, 4, 3] by b_definition ?3 ?4 ?5
5968:  Id :   3, {_}:
          apply (apply t ?7) ?8 =>= apply ?8 ?7
          [8, 7] by t_definition ?7 ?8
5968: Goal:
5968:  Id :   1, {_}:
          apply (apply (apply (apply ?1 (f ?1)) (g ?1)) (h ?1)) (i ?1)
          =>=
          apply (apply (f ?1) (i ?1)) (apply (g ?1) (h ?1))
          [1] by prove_g_combinator ?1
% SZS status Timeout for COL065-1.p
6010: Facts:
6010:  Id :   2, {_}:
          apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5)
          [5, 4, 3] by b_definition ?3 ?4 ?5
6010:  Id :   3, {_}:
          apply (apply (apply q ?7) ?8) ?9 =>= apply ?8 (apply ?7 ?9)
          [9, 8, 7] by q_definition ?7 ?8 ?9
6010:  Id :   4, {_}:
          apply (apply w ?11) ?12 =?= apply (apply ?11 ?12) ?12
          [12, 11] by w_definition ?11 ?12
6010: Goal:
6010:  Id :   1, {_}:
          apply (apply (apply (apply ?1 (f ?1)) (g ?1)) (g ?1)) (h ?1)
          =<=
          apply (apply (f ?1) (g ?1)) (apply (apply (f ?1) (g ?1)) (h ?1))
          [1] by prove_p_combinator ?1
% SZS status Timeout for COL066-1.p
6037: Facts:
6037:  Id :   2, {_}:
          apply (apply (apply s ?3) ?4) ?5
          =?=
          apply (apply ?3 ?5) (apply ?4 ?5)
          [5, 4, 3] by s_definition ?3 ?4 ?5
6037:  Id :   3, {_}:
          apply (apply (apply b ?7) ?8) ?9 =>= apply ?7 (apply ?8 ?9)
          [9, 8, 7] by b_definition ?7 ?8 ?9
6037: Goal:
6037:  Id :   1, {_}:
          apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1))
          [1] by prove_fixed_point ?1
% SZS status Timeout for COL067-1.p
6112: Facts:
6112:  Id :   2, {_}:
          apply (apply (apply s ?3) ?4) ?5
          =?=
          apply (apply ?3 ?5) (apply ?4 ?5)
          [5, 4, 3] by s_definition ?3 ?4 ?5
6112:  Id :   3, {_}:
          apply (apply (apply b ?7) ?8) ?9 =>= apply ?7 (apply ?8 ?9)
          [9, 8, 7] by b_definition ?7 ?8 ?9
6112: Goal:
6112:  Id :   1, {_}: ?1 =<= apply combinator ?1 [1] by prove_fixed_point ?1
% SZS status Timeout for COL068-1.p
6139: Facts:
6139:  Id :   2, {_}:
          apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5)
          [5, 4, 3] by b_definition ?3 ?4 ?5
6139:  Id :   3, {_}:
          apply (apply l ?7) ?8 =?= apply ?7 (apply ?8 ?8)
          [8, 7] by l_definition ?7 ?8
6139: Goal:
6139:  Id :   1, {_}:
          apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1))
          [1] by prove_fixed_point ?1
% SZS status Timeout for COL069-1.p
6178: Facts:
6178:  Id :   2, {_}:
          apply (apply (apply n ?3) ?4) ?5
          =?=
          apply (apply (apply ?3 ?5) ?4) ?5
          [5, 4, 3] by n_definition ?3 ?4 ?5
6178:  Id :   3, {_}:
          apply (apply (apply q ?7) ?8) ?9 =>= apply ?8 (apply ?7 ?9)
          [9, 8, 7] by q_definition ?7 ?8 ?9
6178: Goal:
6178:  Id :   1, {_}:
          apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1))
          [1] by prove_fixed_point ?1
% SZS status Timeout for COL071-1.p
6206: Facts:
6206:  Id :   2, {_}:
          apply (apply (apply n1 ?3) ?4) ?5
          =?=
          apply (apply (apply ?3 ?4) ?4) ?5
          [5, 4, 3] by n1_definition ?3 ?4 ?5
6206:  Id :   3, {_}:
          apply (apply (apply b ?7) ?8) ?9 =>= apply ?7 (apply ?8 ?9)
          [9, 8, 7] by b_definition ?7 ?8 ?9
6206: Goal:
6206:  Id :   1, {_}:
          apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1))
          [1] by prove_strong_fixed_point ?1
% SZS status Timeout for COL073-1.p
6249: Facts:
6249:  Id :   2, {_}:
          apply (apply (apply b ?3) ?4) ?5 =>= apply ?3 (apply ?4 ?5)
          [5, 4, 3] by definition_B ?3 ?4 ?5
6249:  Id :   3, {_}: apply m ?7 =?= apply ?7 ?7 [7] by definition_M ?7
6249: Goal:
6249:  Id :   1, {_}:
          apply ?1 (f ?1) =<= apply (f ?1) (apply ?1 (f ?1))
          [1] by strong_fixpoint ?1
% SZS status Timeout for COL087-1.p
6278: Facts:
6278:  Id :   2, {_}:
          multiply ?2
            (inverse
              (multiply
                (multiply
                  (inverse (multiply (inverse ?3) (multiply (inverse ?2) ?4)))
                  ?5) (inverse (multiply ?3 ?5))))
          =>=
          ?4
          [5, 4, 3, 2] by group_axiom ?2 ?3 ?4 ?5
6278: Goal:
6278:  Id :   1, {_}:
          multiply a (multiply b c) =<= multiply (multiply a b) c
          [] by prove_associativity
Statistics :
Max weight : 50
Found proof, 30.568717s
% SZS status Unsatisfiable for GRP014-1.p
% SZS output start CNFRefutation for GRP014-1.p
Id :   2, {_}: multiply ?2 (inverse (multiply (multiply (inverse (multiply (inverse ?3) (multiply (inverse ?2) ?4))) ?5) (inverse (multiply ?3 ?5)))) =>= ?4 [5, 4, 3, 2] by group_axiom ?2 ?3 ?4 ?5
Id :   3, {_}: multiply ?7 (inverse (multiply (multiply (inverse (multiply (inverse ?8) (multiply (inverse ?7) ?9))) ?10) (inverse (multiply ?8 ?10)))) =>= ?9 [10, 9, 8, 7] by group_axiom ?7 ?8 ?9 ?10
Id :   6, {_}: multiply ?26 (inverse (multiply ?27 (inverse (multiply ?28 (inverse (multiply (multiply (inverse (multiply (inverse ?29) (multiply (inverse (inverse (multiply (inverse ?28) (multiply (inverse ?26) ?30)))) ?27))) ?31) (inverse (multiply ?29 ?31)))))))) =>= ?30 [31, 30, 29, 28, 27, 26] by Super 3 with 2 at 1,1,2,2
Id :   5, {_}: multiply ?19 (inverse (multiply (multiply (inverse (multiply (inverse ?20) ?21)) ?22) (inverse (multiply ?20 ?22)))) =?= inverse (multiply (multiply (inverse (multiply (inverse ?23) (multiply (inverse (inverse ?19)) ?21))) ?24) (inverse (multiply ?23 ?24))) [24, 23, 22, 21, 20, 19] by Super 3 with 2 at 2,1,1,1,1,2,2
Id :  63, {_}: multiply (inverse ?569) (multiply ?569 (inverse (multiply (multiply (inverse (multiply (inverse ?570) ?571)) ?572) (inverse (multiply ?570 ?572))))) =>= ?571 [572, 571, 570, 569] by Super 2 with 5 at 2,2
Id :  64, {_}: inverse (multiply (multiply (inverse (multiply (inverse ?574) (multiply (inverse (inverse ?575)) (multiply (inverse ?575) ?576)))) ?577) (inverse (multiply ?574 ?577))) =>= ?576 [577, 576, 575, 574] by Super 2 with 5 at 2
Id : 282, {_}: multiply (inverse ?2263) (multiply ?2263 ?2264) =?= multiply (inverse (inverse ?2265)) (multiply (inverse ?2265) ?2264) [2265, 2264, 2263] by Super 63 with 64 at 2,2,2
Id : 186, {_}: multiply (inverse ?1640) (multiply ?1640 ?1641) =?= multiply (inverse (inverse ?1642)) (multiply (inverse ?1642) ?1641) [1642, 1641, 1640] by Super 63 with 64 at 2,2,2
Id : 296, {_}: multiply (inverse ?2354) (multiply ?2354 ?2355) =?= multiply (inverse ?2356) (multiply ?2356 ?2355) [2356, 2355, 2354] by Super 282 with 186 at 3
Id : 388, {_}: multiply (inverse ?2841) (multiply ?2841 (inverse (multiply (multiply (inverse (multiply (inverse ?2842) (multiply ?2842 ?2843))) ?2844) (inverse (multiply ?2845 ?2844))))) =>= multiply ?2845 ?2843 [2845, 2844, 2843, 2842, 2841] by Super 63 with 296 at 1,1,1,1,2,2,2
Id : 534, {_}: multiply ?3731 (inverse (multiply (multiply (inverse (multiply (inverse ?3732) (multiply ?3732 ?3733))) ?3734) (inverse (multiply (inverse ?3731) ?3734)))) =>= ?3733 [3734, 3733, 3732, 3731] by Super 2 with 296 at 1,1,1,1,2,2
Id : 2439, {_}: multiply ?16014 (inverse (multiply (multiply (inverse (multiply (inverse ?16015) (multiply ?16015 ?16016))) (multiply ?16014 ?16017)) (inverse (multiply (inverse ?16018) (multiply ?16018 ?16017))))) =>= ?16016 [16018, 16017, 16016, 16015, 16014] by Super 534 with 296 at 1,2,1,2,2
Id : 2524, {_}: multiply (multiply (inverse ?16722) (multiply ?16722 ?16723)) (inverse (multiply ?16724 (inverse (multiply (inverse ?16725) (multiply ?16725 (inverse (multiply (multiply (inverse (multiply (inverse ?16726) ?16724)) ?16727) (inverse (multiply ?16726 ?16727))))))))) =>= ?16723 [16727, 16726, 16725, 16724, 16723, 16722] by Super 2439 with 63 at 1,1,2,2
Id : 2563, {_}: multiply (multiply (inverse ?16722) (multiply ?16722 ?16723)) (inverse (multiply ?16724 (inverse ?16724))) =>= ?16723 [16724, 16723, 16722] by Demod 2524 with 63 at 1,2,1,2,2
Id : 2592, {_}: multiply (inverse (multiply (inverse ?16966) (multiply ?16966 ?16967))) ?16967 =?= multiply (inverse (multiply (inverse ?16968) (multiply ?16968 ?16969))) ?16969 [16969, 16968, 16967, 16966] by Super 388 with 2563 at 2,2
Id : 2821, {_}: multiply (inverse (inverse (multiply (inverse ?18345) (multiply ?18345 (inverse (multiply (multiply (inverse (multiply (inverse ?18346) ?18347)) ?18348) (inverse (multiply ?18346 ?18348)))))))) (multiply (inverse (multiply (inverse ?18349) (multiply ?18349 ?18350))) ?18350) =>= ?18347 [18350, 18349, 18348, 18347, 18346, 18345] by Super 63 with 2592 at 2,2
Id : 3012, {_}: multiply (inverse (inverse ?18347)) (multiply (inverse (multiply (inverse ?18349) (multiply ?18349 ?18350))) ?18350) =>= ?18347 [18350, 18349, 18347] by Demod 2821 with 63 at 1,1,1,2
Id : 135, {_}: multiply (inverse ?1251) (multiply ?1251 (inverse (multiply (multiply (inverse (multiply (inverse ?1252) ?1253)) ?1254) (inverse (multiply ?1252 ?1254))))) =>= ?1253 [1254, 1253, 1252, 1251] by Super 2 with 5 at 2,2
Id : 154, {_}: multiply (inverse ?1406) (multiply ?1406 (multiply ?1407 (inverse (multiply (multiply (inverse (multiply (inverse ?1408) ?1409)) ?1410) (inverse (multiply ?1408 ?1410)))))) =>= multiply (inverse (inverse ?1407)) ?1409 [1410, 1409, 1408, 1407, 1406] by Super 135 with 5 at 2,2,2
Id : 3082, {_}: multiply (inverse (inverse (inverse ?20094))) ?20094 =?= multiply (inverse (inverse (inverse (multiply (inverse ?20095) (multiply ?20095 (inverse (multiply (multiply (inverse (multiply (inverse ?20096) ?20097)) ?20098) (inverse (multiply ?20096 ?20098))))))))) ?20097 [20098, 20097, 20096, 20095, 20094] by Super 154 with 3012 at 2,2
Id : 3171, {_}: multiply (inverse (inverse (inverse ?20094))) ?20094 =?= multiply (inverse (inverse (inverse ?20097))) ?20097 [20097, 20094] by Demod 3082 with 63 at 1,1,1,1,3
Id : 3346, {_}: multiply (inverse (inverse ?21386)) (multiply (inverse (multiply (inverse (inverse (inverse (inverse ?21387)))) (multiply (inverse (inverse (inverse ?21388))) ?21388))) ?21387) =>= ?21386 [21388, 21387, 21386] by Super 3012 with 3171 at 2,1,1,2,2
Id : 372, {_}: multiply ?2725 (inverse (multiply (multiply (inverse ?2726) (multiply ?2726 ?2727)) (inverse (multiply ?2728 (multiply (multiply (inverse ?2728) (multiply (inverse ?2725) ?2729)) ?2727))))) =>= ?2729 [2729, 2728, 2727, 2726, 2725] by Super 2 with 296 at 1,1,2,2
Id : 188, {_}: inverse (multiply (multiply (inverse (multiply (inverse ?1652) (multiply (inverse (inverse ?1653)) (multiply (inverse ?1653) ?1654)))) ?1655) (inverse (multiply ?1652 ?1655))) =>= ?1654 [1655, 1654, 1653, 1652] by Super 2 with 5 at 2
Id : 196, {_}: inverse (multiply (multiply (inverse (multiply (inverse ?1714) (multiply (inverse (inverse (multiply (multiply (inverse (multiply (inverse ?1715) (multiply (inverse (inverse ?1716)) (multiply (inverse ?1716) ?1717)))) ?1718) (inverse (multiply ?1715 ?1718))))) (multiply ?1717 ?1719)))) ?1720) (inverse (multiply ?1714 ?1720))) =>= ?1719 [1720, 1719, 1718, 1717, 1716, 1715, 1714] by Super 188 with 64 at 1,2,2,1,1,1,1,2
Id : 221, {_}: inverse (multiply (multiply (inverse (multiply (inverse ?1714) (multiply (inverse ?1717) (multiply ?1717 ?1719)))) ?1720) (inverse (multiply ?1714 ?1720))) =>= ?1719 [1720, 1719, 1717, 1714] by Demod 196 with 64 at 1,1,2,1,1,1,1,2
Id : 620, {_}: multiply (inverse ?4319) (multiply ?4319 (multiply ?4320 (inverse (multiply (multiply (inverse (multiply (inverse ?4321) ?4322)) ?4323) (inverse (multiply ?4321 ?4323)))))) =>= multiply (inverse (inverse ?4320)) ?4322 [4323, 4322, 4321, 4320, 4319] by Super 135 with 5 at 2,2,2
Id : 653, {_}: multiply (inverse ?4603) (multiply ?4603 (multiply ?4604 ?4605)) =?= multiply (inverse (inverse ?4604)) (multiply (inverse ?4606) (multiply ?4606 ?4605)) [4606, 4605, 4604, 4603] by Super 620 with 221 at 2,2,2,2
Id : 742, {_}: inverse (multiply (multiply (inverse (multiply (inverse ?5193) (multiply ?5193 (multiply ?5194 ?5195)))) ?5196) (inverse (multiply (inverse ?5194) ?5196))) =>= ?5195 [5196, 5195, 5194, 5193] by Super 221 with 653 at 1,1,1,1,2
Id : 2795, {_}: inverse (multiply (multiply (inverse (multiply (inverse ?18165) (multiply ?18165 ?18166))) ?18166) (inverse (multiply (inverse ?18167) (multiply ?18167 ?18168)))) =>= ?18168 [18168, 18167, 18166, 18165] by Super 742 with 2592 at 1,1,2
Id : 3210, {_}: multiply (multiply (inverse (inverse (inverse (inverse ?20600)))) (multiply (inverse (inverse (inverse ?20601))) ?20601)) (inverse (multiply ?20602 (inverse ?20602))) =>= ?20600 [20602, 20601, 20600] by Super 2563 with 3171 at 2,1,2
Id : 3081, {_}: multiply (inverse ?20087) (multiply ?20087 (multiply ?20088 (inverse (multiply (multiply (inverse ?20089) ?20090) (inverse (multiply (inverse ?20089) ?20090)))))) =?= multiply (inverse (inverse ?20088)) (multiply (inverse (multiply (inverse ?20091) (multiply ?20091 ?20092))) ?20092) [20092, 20091, 20090, 20089, 20088, 20087] by Super 154 with 3012 at 1,1,1,1,2,2,2,2
Id : 4777, {_}: multiply (inverse ?29667) (multiply ?29667 (multiply ?29668 (inverse (multiply (multiply (inverse ?29669) ?29670) (inverse (multiply (inverse ?29669) ?29670)))))) =>= ?29668 [29670, 29669, 29668, 29667] by Demod 3081 with 3012 at 3
Id : 4785, {_}: multiply (inverse ?29731) (multiply ?29731 (multiply ?29732 (inverse (multiply (multiply (inverse ?29733) (inverse (multiply (multiply (inverse (multiply (inverse ?29734) (multiply (inverse (inverse ?29733)) ?29735))) ?29736) (inverse (multiply ?29734 ?29736))))) (inverse ?29735))))) =>= ?29732 [29736, 29735, 29734, 29733, 29732, 29731] by Super 4777 with 2 at 1,2,1,2,2,2,2
Id : 4909, {_}: multiply (inverse ?29731) (multiply ?29731 (multiply ?29732 (inverse (multiply ?29735 (inverse ?29735))))) =>= ?29732 [29735, 29732, 29731] by Demod 4785 with 2 at 1,1,2,2,2,2
Id : 4962, {_}: multiply ?30464 (inverse (multiply ?30465 (inverse ?30465))) =?= multiply ?30464 (inverse (multiply ?30466 (inverse ?30466))) [30466, 30465, 30464] by Super 3210 with 4909 at 1,2
Id : 5592, {_}: inverse (multiply (multiply (inverse (multiply (inverse ?33658) (multiply ?33658 ?33659))) ?33659) (inverse (multiply (inverse ?33660) (multiply ?33660 (inverse (multiply ?33661 (inverse ?33661))))))) =?= inverse (multiply ?33662 (inverse ?33662)) [33662, 33661, 33660, 33659, 33658] by Super 2795 with 4962 at 2,1,2,1,2
Id : 5653, {_}: inverse (multiply ?33661 (inverse ?33661)) =?= inverse (multiply ?33662 (inverse ?33662)) [33662, 33661] by Demod 5592 with 2795 at 2
Id : 5929, {_}: multiply (inverse (inverse (multiply ?35194 (inverse ?35194)))) (multiply (inverse (multiply (inverse (inverse (inverse (inverse ?35195)))) (multiply (inverse (inverse (inverse ?35196))) ?35196))) ?35195) =?= multiply ?35197 (inverse ?35197) [35197, 35196, 35195, 35194] by Super 3346 with 5653 at 1,1,2
Id : 5986, {_}: multiply ?35194 (inverse ?35194) =?= multiply ?35197 (inverse ?35197) [35197, 35194] by Demod 5929 with 3346 at 2
Id : 6042, {_}: multiply (multiply (inverse ?35573) (multiply ?35574 (inverse ?35574))) (inverse (multiply ?35575 (inverse ?35575))) =>= inverse ?35573 [35575, 35574, 35573] by Super 2563 with 5986 at 2,1,2
Id : 6543, {_}: multiply ?38358 (inverse (multiply (multiply (inverse ?38359) (multiply ?38359 (inverse (multiply ?38360 (inverse ?38360))))) (inverse (multiply ?38361 (inverse ?38361))))) =>= inverse (inverse ?38358) [38361, 38360, 38359, 38358] by Super 372 with 6042 at 2,1,2,1,2,2
Id : 6618, {_}: multiply ?38358 (inverse (inverse (multiply ?38360 (inverse ?38360)))) =>= inverse (inverse ?38358) [38360, 38358] by Demod 6543 with 2563 at 1,2,2
Id : 6657, {_}: multiply (inverse (inverse ?38833)) (multiply (inverse (multiply (inverse ?38834) (inverse (inverse ?38834)))) (inverse (inverse (multiply ?38835 (inverse ?38835))))) =>= ?38833 [38835, 38834, 38833] by Super 3012 with 6618 at 2,1,1,2,2
Id : 7408, {_}: multiply (inverse (inverse ?41918)) (inverse (inverse (inverse (multiply (inverse ?41919) (inverse (inverse ?41919)))))) =>= ?41918 [41919, 41918] by Demod 6657 with 6618 at 2,2
Id : 6739, {_}: multiply ?39280 (inverse ?39280) =?= inverse (inverse (inverse (multiply ?39281 (inverse ?39281)))) [39281, 39280] by Super 5986 with 6618 at 3
Id : 7438, {_}: multiply (inverse (inverse ?42063)) (multiply ?42064 (inverse ?42064)) =>= ?42063 [42064, 42063] by Super 7408 with 6739 at 2,2
Id : 7572, {_}: multiply ?42586 (inverse (multiply ?42587 (inverse ?42587))) =>= inverse (inverse ?42586) [42587, 42586] by Super 2563 with 7438 at 1,2
Id : 7757, {_}: multiply (inverse (inverse ?43376)) (inverse (inverse (inverse (multiply (inverse (inverse (inverse (inverse (inverse (multiply ?43377 (inverse ?43377))))))) (multiply (inverse (inverse (inverse ?43378))) ?43378))))) =>= ?43376 [43378, 43377, 43376] by Super 3346 with 7572 at 2,2
Id : 7643, {_}: inverse (inverse (multiply (inverse (inverse (inverse (inverse ?20600)))) (multiply (inverse (inverse (inverse ?20601))) ?20601))) =>= ?20600 [20601, 20600] by Demod 3210 with 7572 at 2
Id : 7812, {_}: multiply (inverse (inverse ?43376)) (inverse (inverse (multiply ?43377 (inverse ?43377)))) =>= ?43376 [43377, 43376] by Demod 7757 with 7643 at 1,2,2
Id : 7813, {_}: inverse (inverse (inverse (inverse ?43376))) =>= ?43376 [43376] by Demod 7812 with 6618 at 2
Id : 869, {_}: inverse (multiply (multiply (inverse (multiply (inverse ?5935) (multiply ?5935 (multiply ?5936 ?5937)))) ?5938) (inverse (multiply (inverse ?5936) ?5938))) =>= ?5937 [5938, 5937, 5936, 5935] by Super 221 with 653 at 1,1,1,1,2
Id : 890, {_}: inverse (multiply (multiply (inverse (multiply (inverse ?6097) (multiply ?6097 (multiply (inverse ?6098) (multiply ?6098 ?6099))))) ?6100) (inverse (multiply (inverse (inverse ?6101)) ?6100))) =>= multiply ?6101 ?6099 [6101, 6100, 6099, 6098, 6097] by Super 869 with 296 at 2,2,1,1,1,1,2
Id : 7644, {_}: multiply (inverse ?29731) (multiply ?29731 (inverse (inverse ?29732))) =>= ?29732 [29732, 29731] by Demod 4909 with 7572 at 2,2,2
Id : 8034, {_}: multiply (inverse ?44083) (multiply ?44083 ?44084) =>= inverse (inverse ?44084) [44084, 44083] by Super 7644 with 7813 at 2,2,2
Id : 8446, {_}: inverse (multiply (multiply (inverse (inverse (inverse (multiply (inverse ?6098) (multiply ?6098 ?6099))))) ?6100) (inverse (multiply (inverse (inverse ?6101)) ?6100))) =>= multiply ?6101 ?6099 [6101, 6100, 6099, 6098] by Demod 890 with 8034 at 1,1,1,1,2
Id : 8447, {_}: inverse (multiply (multiply (inverse (inverse (inverse (inverse (inverse ?6099))))) ?6100) (inverse (multiply (inverse (inverse ?6101)) ?6100))) =>= multiply ?6101 ?6099 [6101, 6100, 6099] by Demod 8446 with 8034 at 1,1,1,1,1,1,2
Id : 8480, {_}: inverse (multiply (multiply (inverse ?6099) ?6100) (inverse (multiply (inverse (inverse ?6101)) ?6100))) =>= multiply ?6101 ?6099 [6101, 6100, 6099] by Demod 8447 with 7813 at 1,1,1,2
Id : 7937, {_}: multiply ?43614 (inverse (multiply (inverse (inverse (inverse ?43615))) ?43615)) =>= inverse (inverse ?43614) [43615, 43614] by Super 7572 with 7813 at 2,1,2,2
Id : 8626, {_}: inverse (inverse (inverse (multiply (inverse ?45427) ?45428))) =>= multiply (inverse ?45428) ?45427 [45428, 45427] by Super 8480 with 7937 at 1,2
Id : 8920, {_}: inverse (multiply (inverse ?46068) ?46069) =>= multiply (inverse ?46069) ?46068 [46069, 46068] by Super 7813 with 8626 at 1,2
Id : 9086, {_}: multiply ?26 (inverse (multiply ?27 (inverse (multiply ?28 (inverse (multiply (multiply (multiply (inverse (multiply (inverse (inverse (multiply (inverse ?28) (multiply (inverse ?26) ?30)))) ?27)) ?29) ?31) (inverse (multiply ?29 ?31)))))))) =>= ?30 [31, 29, 30, 28, 27, 26] by Demod 6 with 8920 at 1,1,1,2,1,2,1,2,2
Id : 9087, {_}: multiply ?26 (inverse (multiply ?27 (inverse (multiply ?28 (inverse (multiply (multiply (multiply (multiply (inverse ?27) (inverse (multiply (inverse ?28) (multiply (inverse ?26) ?30)))) ?29) ?31) (inverse (multiply ?29 ?31)))))))) =>= ?30 [31, 29, 30, 28, 27, 26] by Demod 9086 with 8920 at 1,1,1,1,2,1,2,1,2,2
Id : 9088, {_}: multiply ?26 (inverse (multiply ?27 (inverse (multiply ?28 (inverse (multiply (multiply (multiply (multiply (inverse ?27) (multiply (inverse (multiply (inverse ?26) ?30)) ?28)) ?29) ?31) (inverse (multiply ?29 ?31)))))))) =>= ?30 [31, 29, 30, 28, 27, 26] by Demod 9087 with 8920 at 2,1,1,1,1,2,1,2,1,2,2
Id : 9089, {_}: multiply ?26 (inverse (multiply ?27 (inverse (multiply ?28 (inverse (multiply (multiply (multiply (multiply (inverse ?27) (multiply (multiply (inverse ?30) ?26) ?28)) ?29) ?31) (inverse (multiply ?29 ?31)))))))) =>= ?30 [31, 29, 30, 28, 27, 26] by Demod 9088 with 8920 at 1,2,1,1,1,1,2,1,2,1,2,2
Id : 8458, {_}: inverse (inverse (inverse (multiply (multiply (inverse (multiply (inverse ?2842) (multiply ?2842 ?2843))) ?2844) (inverse (multiply ?2845 ?2844))))) =>= multiply ?2845 ?2843 [2845, 2844, 2843, 2842] by Demod 388 with 8034 at 2
Id : 8459, {_}: inverse (inverse (inverse (multiply (multiply (inverse (inverse (inverse ?2843))) ?2844) (inverse (multiply ?2845 ?2844))))) =>= multiply ?2845 ?2843 [2845, 2844, 2843] by Demod 8458 with 8034 at 1,1,1,1,1,1,2
Id : 8637, {_}: inverse (inverse (inverse (inverse (inverse (multiply (inverse (inverse (inverse ?45472))) ?45473))))) =>= multiply (inverse (inverse (inverse ?45473))) ?45472 [45473, 45472] by Super 8459 with 7937 at 1,1,1,2
Id : 8821, {_}: inverse (multiply (inverse (inverse (inverse ?45472))) ?45473) =>= multiply (inverse (inverse (inverse ?45473))) ?45472 [45473, 45472] by Demod 8637 with 7813 at 2
Id : 9269, {_}: multiply (inverse ?45473) (inverse (inverse ?45472)) =?= multiply (inverse (inverse (inverse ?45473))) ?45472 [45472, 45473] by Demod 8821 with 8920 at 2
Id : 9361, {_}: multiply (inverse ?47429) (inverse (inverse (multiply (inverse (inverse ?47429)) ?47430))) =>= inverse (inverse ?47430) [47430, 47429] by Super 8034 with 9269 at 2
Id : 9488, {_}: multiply (inverse ?47429) (inverse (multiply (inverse ?47430) (inverse ?47429))) =>= inverse (inverse ?47430) [47430, 47429] by Demod 9361 with 8920 at 1,2,2
Id : 9489, {_}: multiply (inverse ?47429) (multiply (inverse (inverse ?47429)) ?47430) =>= inverse (inverse ?47430) [47430, 47429] by Demod 9488 with 8920 at 2,2
Id : 8463, {_}: multiply ?2725 (inverse (multiply (inverse (inverse ?2727)) (inverse (multiply ?2728 (multiply (multiply (inverse ?2728) (multiply (inverse ?2725) ?2729)) ?2727))))) =>= ?2729 [2729, 2728, 2727, 2725] by Demod 372 with 8034 at 1,1,2,2
Id : 9076, {_}: multiply ?2725 (multiply (inverse (inverse (multiply ?2728 (multiply (multiply (inverse ?2728) (multiply (inverse ?2725) ?2729)) ?2727)))) (inverse ?2727)) =>= ?2729 [2727, 2729, 2728, 2725] by Demod 8463 with 8920 at 2,2
Id : 390, {_}: multiply (inverse ?2853) (multiply ?2853 (inverse (multiply (multiply (inverse ?2854) (multiply ?2854 ?2855)) (inverse (multiply ?2856 (multiply (multiply (inverse ?2856) ?2857) ?2855)))))) =>= ?2857 [2857, 2856, 2855, 2854, 2853] by Super 63 with 296 at 1,1,2,2,2
Id : 8444, {_}: inverse (inverse (inverse (multiply (multiply (inverse ?2854) (multiply ?2854 ?2855)) (inverse (multiply ?2856 (multiply (multiply (inverse ?2856) ?2857) ?2855)))))) =>= ?2857 [2857, 2856, 2855, 2854] by Demod 390 with 8034 at 2
Id : 8445, {_}: inverse (inverse (inverse (multiply (inverse (inverse ?2855)) (inverse (multiply ?2856 (multiply (multiply (inverse ?2856) ?2857) ?2855)))))) =>= ?2857 [2857, 2856, 2855] by Demod 8444 with 8034 at 1,1,1,1,2
Id : 8890, {_}: multiply (inverse (inverse (multiply ?2856 (multiply (multiply (inverse ?2856) ?2857) ?2855)))) (inverse ?2855) =>= ?2857 [2855, 2857, 2856] by Demod 8445 with 8626 at 2
Id : 9094, {_}: multiply ?2725 (multiply (inverse ?2725) ?2729) =>= ?2729 [2729, 2725] by Demod 9076 with 8890 at 2,2
Id : 9490, {_}: ?47430 =<= inverse (inverse ?47430) [47430] by Demod 9489 with 9094 at 2
Id : 9856, {_}: inverse (multiply ?48264 ?48265) =<= multiply (inverse ?48265) (inverse ?48264) [48265, 48264] by Super 8920 with 9490 at 1,1,2
Id : 9873, {_}: inverse (multiply ?48336 (inverse ?48337)) =>= multiply ?48337 (inverse ?48336) [48337, 48336] by Super 9856 with 9490 at 1,3
Id : 9977, {_}: multiply ?26 (multiply (multiply ?28 (inverse (multiply (multiply (multiply (multiply (inverse ?27) (multiply (multiply (inverse ?30) ?26) ?28)) ?29) ?31) (inverse (multiply ?29 ?31))))) (inverse ?27)) =>= ?30 [31, 29, 30, 27, 28, 26] by Demod 9089 with 9873 at 2,2
Id : 9978, {_}: multiply ?26 (multiply (multiply ?28 (multiply (multiply ?29 ?31) (inverse (multiply (multiply (multiply (inverse ?27) (multiply (multiply (inverse ?30) ?26) ?28)) ?29) ?31)))) (inverse ?27)) =>= ?30 [30, 27, 31, 29, 28, 26] by Demod 9977 with 9873 at 2,1,2,2
Id : 9747, {_}: inverse (multiply ?47897 ?47898) =<= multiply (inverse ?47898) (inverse ?47897) [47898, 47897] by Super 8920 with 9490 at 1,1,2
Id : 10105, {_}: multiply ?48780 (inverse (multiply ?48781 ?48780)) =>= inverse ?48781 [48781, 48780] by Super 9094 with 9747 at 2,2
Id : 9838, {_}: multiply ?48200 (inverse (multiply ?48201 ?48200)) =>= inverse ?48201 [48201, 48200] by Super 9094 with 9747 at 2,2
Id : 10114, {_}: multiply (inverse (multiply ?48810 ?48811)) (inverse (inverse ?48810)) =>= inverse ?48811 [48811, 48810] by Super 10105 with 9838 at 1,2,2
Id : 10186, {_}: inverse (multiply (inverse ?48810) (multiply ?48810 ?48811)) =>= inverse ?48811 [48811, 48810] by Demod 10114 with 9747 at 2
Id : 10420, {_}: multiply (inverse (multiply ?49364 ?49365)) ?49364 =>= inverse ?49365 [49365, 49364] by Demod 10186 with 8920 at 2
Id : 8452, {_}: inverse (inverse (inverse (multiply (multiply (inverse (multiply (inverse ?570) ?571)) ?572) (inverse (multiply ?570 ?572))))) =>= ?571 [572, 571, 570] by Demod 63 with 8034 at 2
Id : 9075, {_}: inverse (inverse (inverse (multiply (multiply (multiply (inverse ?571) ?570) ?572) (inverse (multiply ?570 ?572))))) =>= ?571 [572, 570, 571] by Demod 8452 with 8920 at 1,1,1,1,1,2
Id : 9732, {_}: inverse (multiply (multiply (multiply (inverse ?571) ?570) ?572) (inverse (multiply ?570 ?572))) =>= ?571 [572, 570, 571] by Demod 9075 with 9490 at 2
Id : 9981, {_}: multiply (multiply ?570 ?572) (inverse (multiply (multiply (inverse ?571) ?570) ?572)) =>= ?571 [571, 572, 570] by Demod 9732 with 9873 at 2
Id : 10433, {_}: multiply (inverse ?49416) (multiply ?49417 ?49418) =<= inverse (inverse (multiply (multiply (inverse ?49416) ?49417) ?49418)) [49418, 49417, 49416] by Super 10420 with 9981 at 1,1,2
Id : 10496, {_}: multiply (inverse ?49416) (multiply ?49417 ?49418) =<= multiply (multiply (inverse ?49416) ?49417) ?49418 [49418, 49417, 49416] by Demod 10433 with 9490 at 3
Id : 10879, {_}: multiply ?26 (multiply (multiply ?28 (multiply (multiply ?29 ?31) (inverse (multiply (multiply (inverse ?27) (multiply (multiply (multiply (inverse ?30) ?26) ?28) ?29)) ?31)))) (inverse ?27)) =>= ?30 [30, 27, 31, 29, 28, 26] by Demod 9978 with 10496 at 1,1,2,2,1,2,2
Id : 10880, {_}: multiply ?26 (multiply (multiply ?28 (multiply (multiply ?29 ?31) (inverse (multiply (inverse ?27) (multiply (multiply (multiply (multiply (inverse ?30) ?26) ?28) ?29) ?31))))) (inverse ?27)) =>= ?30 [30, 27, 31, 29, 28, 26] by Demod 10879 with 10496 at 1,2,2,1,2,2
Id : 10881, {_}: multiply ?26 (multiply (multiply ?28 (multiply (multiply ?29 ?31) (inverse (multiply (inverse ?27) (multiply (multiply (multiply (inverse ?30) (multiply ?26 ?28)) ?29) ?31))))) (inverse ?27)) =>= ?30 [30, 27, 31, 29, 28, 26] by Demod 10880 with 10496 at 1,1,2,1,2,2,1,2,2
Id : 10882, {_}: multiply ?26 (multiply (multiply ?28 (multiply (multiply ?29 ?31) (inverse (multiply (inverse ?27) (multiply (multiply (inverse ?30) (multiply (multiply ?26 ?28) ?29)) ?31))))) (inverse ?27)) =>= ?30 [30, 27, 31, 29, 28, 26] by Demod 10881 with 10496 at 1,2,1,2,2,1,2,2
Id : 10883, {_}: multiply ?26 (multiply (multiply ?28 (multiply (multiply ?29 ?31) (inverse (multiply (inverse ?27) (multiply (inverse ?30) (multiply (multiply (multiply ?26 ?28) ?29) ?31)))))) (inverse ?27)) =>= ?30 [30, 27, 31, 29, 28, 26] by Demod 10882 with 10496 at 2,1,2,2,1,2,2
Id : 10900, {_}: multiply ?26 (multiply (multiply ?28 (multiply (multiply ?29 ?31) (multiply (inverse (multiply (inverse ?30) (multiply (multiply (multiply ?26 ?28) ?29) ?31))) ?27))) (inverse ?27)) =>= ?30 [27, 30, 31, 29, 28, 26] by Demod 10883 with 8920 at 2,2,1,2,2
Id : 10901, {_}: multiply ?26 (multiply (multiply ?28 (multiply (multiply ?29 ?31) (multiply (multiply (inverse (multiply (multiply (multiply ?26 ?28) ?29) ?31)) ?30) ?27))) (inverse ?27)) =>= ?30 [27, 30, 31, 29, 28, 26] by Demod 10900 with 8920 at 1,2,2,1,2,2
Id : 10902, {_}: multiply ?26 (multiply (multiply ?28 (multiply (multiply ?29 ?31) (multiply (inverse (multiply (multiply (multiply ?26 ?28) ?29) ?31)) (multiply ?30 ?27)))) (inverse ?27)) =>= ?30 [27, 30, 31, 29, 28, 26] by Demod 10901 with 10496 at 2,2,1,2,2
Id : 3348, {_}: multiply (inverse (inverse (inverse ?21394))) ?21394 =?= inverse (multiply (inverse (multiply (inverse ?21395) (multiply ?21395 ?21396))) ?21396) [21396, 21395, 21394] by Super 3012 with 3171 at 2
Id : 8467, {_}: multiply (inverse (inverse (inverse ?21394))) ?21394 =?= inverse (multiply (inverse (inverse (inverse ?21396))) ?21396) [21396, 21394] by Demod 3348 with 8034 at 1,1,1,3
Id : 9090, {_}: multiply (inverse (inverse (inverse ?21394))) ?21394 =?= multiply (inverse ?21396) (inverse (inverse ?21396)) [21396, 21394] by Demod 8467 with 8920 at 3
Id : 9730, {_}: multiply (inverse ?21394) ?21394 =?= multiply (inverse ?21396) (inverse (inverse ?21396)) [21396, 21394] by Demod 9090 with 9490 at 1,2
Id : 9731, {_}: multiply (inverse ?21394) ?21394 =?= multiply (inverse ?21396) ?21396 [21396, 21394] by Demod 9730 with 9490 at 2,3
Id : 9744, {_}: multiply (inverse ?47887) ?47887 =?= multiply ?47888 (inverse ?47888) [47888, 47887] by Super 9731 with 9490 at 1,3
Id : 12085, {_}: multiply ?51983 (multiply (multiply ?51984 (multiply (multiply ?51985 ?51986) (multiply ?51987 (inverse ?51987)))) (inverse ?51986)) =>= multiply (multiply ?51983 ?51984) ?51985 [51987, 51986, 51985, 51984, 51983] by Super 10902 with 9744 at 2,2,1,2,2
Id : 7945, {_}: multiply ?43641 (multiply ?43642 (inverse ?43642)) =>= inverse (inverse ?43641) [43642, 43641] by Super 7438 with 7813 at 1,2
Id : 9720, {_}: multiply ?43641 (multiply ?43642 (inverse ?43642)) =>= ?43641 [43642, 43641] by Demod 7945 with 9490 at 3
Id : 12316, {_}: multiply ?51983 (multiply (multiply ?51984 (multiply ?51985 ?51986)) (inverse ?51986)) =>= multiply (multiply ?51983 ?51984) ?51985 [51986, 51985, 51984, 51983] by Demod 12085 with 9720 at 2,1,2,2
Id : 9708, {_}: inverse (multiply (multiply (inverse (inverse (inverse ?2843))) ?2844) (inverse (multiply ?2845 ?2844))) =>= multiply ?2845 ?2843 [2845, 2844, 2843] by Demod 8459 with 9490 at 2
Id : 9709, {_}: inverse (multiply (multiply (inverse ?2843) ?2844) (inverse (multiply ?2845 ?2844))) =>= multiply ?2845 ?2843 [2845, 2844, 2843] by Demod 9708 with 9490 at 1,1,1,2
Id : 9983, {_}: multiply (multiply ?2845 ?2844) (inverse (multiply (inverse ?2843) ?2844)) =>= multiply ?2845 ?2843 [2843, 2844, 2845] by Demod 9709 with 9873 at 2
Id : 9984, {_}: multiply (multiply ?2845 ?2844) (multiply (inverse ?2844) ?2843) =>= multiply ?2845 ?2843 [2843, 2844, 2845] by Demod 9983 with 8920 at 2,2
Id : 10187, {_}: multiply (inverse (multiply ?48810 ?48811)) ?48810 =>= inverse ?48811 [48811, 48810] by Demod 10186 with 8920 at 2
Id : 10411, {_}: multiply (multiply ?49319 (multiply ?49320 ?49321)) (inverse ?49321) =>= multiply ?49319 ?49320 [49321, 49320, 49319] by Super 9984 with 10187 at 2,2
Id : 21362, {_}: multiply ?51983 (multiply ?51984 ?51985) =?= multiply (multiply ?51983 ?51984) ?51985 [51985, 51984, 51983] by Demod 12316 with 10411 at 2,2
Id : 21800, {_}: multiply a (multiply b c) === multiply a (multiply b c) [] by Demod 1 with 21362 at 3
Id :   1, {_}: multiply a (multiply b c) =<= multiply (multiply a b) c [] by prove_associativity
% SZS output end CNFRefutation for GRP014-1.p
6281: solved GRP014-1.p in 6.232389 using nrkbo
!! infer_left                                      90    0.0001    0.0000    0.0000
!! infer_right                                     91   28.3701    1.0092    0.3118
!! simplify_goal                                   91    0.0067    0.0003    0.0001
!! keep_simplified                                356    1.6497    0.4579    0.0046
!! simplification_step                            466    1.6468    0.4030    0.0035
!! simplify                                     16619   24.7555    0.4087    0.0015
!! orphan_murder                                  700    0.0151    0.0013    0.0000
!! is_subsumed                                  13882    3.1903    0.4002    0.0002
!! build_new_clause                             12799    3.1443    0.4042    0.0002
!! demodulate                                   16457   21.5145    0.4087    0.0013
!! demod                                       224678   18.7917    0.4042    0.0001
!! demod.apply_subst                           127856    1.0956    0.4001    0.0000
!! demod.compare_terms                          54245    2.7719    0.4042    0.0001
!! demod.retrieve_generalizations              224678    6.6579    0.4004    0.0000
!! demod.unify                                 203862    5.1394    0.4005    0.0000
!! build_clause                                 22540    2.7104    0.4042    0.0001
!! compare_terms(nrkbo)                         85257    3.9018    0.4005    0.0000
!! compare_terms(nrkbo)                             2    0.0001    0.0000    0.0000
6297: Facts:
6297:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
6297:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
6297:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
6297:  Id :   5, {_}:
          commutator ?10 ?11
          =<=
          multiply (inverse ?10) (multiply (inverse ?11) (multiply ?10 ?11))
          [11, 10] by name ?10 ?11
6297:  Id :   6, {_}:
          commutator (commutator ?13 ?14) ?15
          =?=
          commutator ?13 (commutator ?14 ?15)
          [15, 14, 13] by associativity_of_commutator ?13 ?14 ?15
6297: Goal:
6297:  Id :   1, {_}:
          multiply a (commutator b c) =<= multiply (commutator b c) a
          [] by prove_center
% SZS status Timeout for GRP024-5.p
6324: Facts:
6324:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
6324:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
6324:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
6324:  Id :   5, {_}: inverse identity =>= identity [] by inverse_of_identity
6324:  Id :   6, {_}: inverse (inverse ?11) =>= ?11 [11] by inverse_involution ?11
6324:  Id :   7, {_}:
          inverse (multiply ?13 ?14) =<= multiply (inverse ?14) (inverse ?13)
          [14, 13] by inverse_product_lemma ?13 ?14
6324:  Id :   8, {_}: intersection ?16 ?16 =>= ?16 [16] by intersection_idempotent ?16
6324:  Id :   9, {_}: union ?18 ?18 =>= ?18 [18] by union_idempotent ?18
6324:  Id :  10, {_}:
          intersection ?20 ?21 =<->= intersection ?21 ?20
          [21, 20] by intersection_commutative ?20 ?21
6324:  Id :  11, {_}:
          union ?23 ?24 =<->= union ?24 ?23
          [24, 23] by union_commutative ?23 ?24
6324:  Id :  12, {_}:
          intersection ?26 (intersection ?27 ?28)
          =?=
          intersection (intersection ?26 ?27) ?28
          [28, 27, 26] by intersection_associative ?26 ?27 ?28
6324:  Id :  13, {_}:
          union ?30 (union ?31 ?32) =?= union (union ?30 ?31) ?32
          [32, 31, 30] by union_associative ?30 ?31 ?32
6324:  Id :  14, {_}:
          union (intersection ?34 ?35) ?35 =>= ?35
          [35, 34] by union_intersection_absorbtion ?34 ?35
6324:  Id :  15, {_}:
          intersection (union ?37 ?38) ?38 =>= ?38
          [38, 37] by intersection_union_absorbtion ?37 ?38
6324:  Id :  16, {_}:
          multiply ?40 (union ?41 ?42)
          =<=
          union (multiply ?40 ?41) (multiply ?40 ?42)
          [42, 41, 40] by multiply_union1 ?40 ?41 ?42
6324:  Id :  17, {_}:
          multiply ?44 (intersection ?45 ?46)
          =<=
          intersection (multiply ?44 ?45) (multiply ?44 ?46)
          [46, 45, 44] by multiply_intersection1 ?44 ?45 ?46
6324:  Id :  18, {_}:
          multiply (union ?48 ?49) ?50
          =<=
          union (multiply ?48 ?50) (multiply ?49 ?50)
          [50, 49, 48] by multiply_union2 ?48 ?49 ?50
6324:  Id :  19, {_}:
          multiply (intersection ?52 ?53) ?54
          =<=
          intersection (multiply ?52 ?54) (multiply ?53 ?54)
          [54, 53, 52] by multiply_intersection2 ?52 ?53 ?54
6324:  Id :  20, {_}:
          positive_part ?56 =<= union ?56 identity
          [56] by positive_part ?56
6324:  Id :  21, {_}:
          negative_part ?58 =<= intersection ?58 identity
          [58] by negative_part ?58
6324: Goal:
6324:  Id :   1, {_}:
          multiply (positive_part a) (negative_part a) =>= a
          [] by prove_product
Statistics :
Max weight : 16
Found proof, 27.216107s
% SZS status Unsatisfiable for GRP114-1.p
% SZS output start CNFRefutation for GRP114-1.p
Id : 207, {_}: multiply (union ?586 ?587) ?588 =<= union (multiply ?586 ?588) (multiply ?587 ?588) [588, 587, 586] by multiply_union2 ?586 ?587 ?588
Id :   8, {_}: intersection ?16 ?16 =>= ?16 [16] by intersection_idempotent ?16
Id :  12, {_}: intersection ?26 (intersection ?27 ?28) =?= intersection (intersection ?26 ?27) ?28 [28, 27, 26] by intersection_associative ?26 ?27 ?28
Id :  17, {_}: multiply ?44 (intersection ?45 ?46) =<= intersection (multiply ?44 ?45) (multiply ?44 ?46) [46, 45, 44] by multiply_intersection1 ?44 ?45 ?46
Id :  14, {_}: union (intersection ?34 ?35) ?35 =>= ?35 [35, 34] by union_intersection_absorbtion ?34 ?35
Id :  13, {_}: union ?30 (union ?31 ?32) =?= union (union ?30 ?31) ?32 [32, 31, 30] by union_associative ?30 ?31 ?32
Id :  15, {_}: intersection (union ?37 ?38) ?38 =>= ?38 [38, 37] by intersection_union_absorbtion ?37 ?38
Id : 237, {_}: multiply (intersection ?663 ?664) ?665 =<= intersection (multiply ?663 ?665) (multiply ?664 ?665) [665, 664, 663] by multiply_intersection2 ?663 ?664 ?665
Id :  21, {_}: negative_part ?58 =<= intersection ?58 identity [58] by negative_part ?58
Id :  10, {_}: intersection ?20 ?21 =<->= intersection ?21 ?20 [21, 20] by intersection_commutative ?20 ?21
Id : 176, {_}: multiply ?512 (intersection ?513 ?514) =<= intersection (multiply ?512 ?513) (multiply ?512 ?514) [514, 513, 512] by multiply_intersection1 ?512 ?513 ?514
Id :   7, {_}: inverse (multiply ?13 ?14) =<= multiply (inverse ?14) (inverse ?13) [14, 13] by inverse_product_lemma ?13 ?14
Id :  11, {_}: union ?23 ?24 =<->= union ?24 ?23 [24, 23] by union_commutative ?23 ?24
Id :  20, {_}: positive_part ?56 =<= union ?56 identity [56] by positive_part ?56
Id :   5, {_}: inverse identity =>= identity [] by inverse_of_identity
Id :  16, {_}: multiply ?40 (union ?41 ?42) =<= union (multiply ?40 ?41) (multiply ?40 ?42) [42, 41, 40] by multiply_union1 ?40 ?41 ?42
Id :   6, {_}: inverse (inverse ?11) =>= ?11 [11] by inverse_involution ?11
Id :  54, {_}: inverse (multiply ?143 ?144) =<= multiply (inverse ?144) (inverse ?143) [144, 143] by inverse_product_lemma ?143 ?144
Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
Id :  26, {_}: multiply (multiply ?67 ?68) ?69 =?= multiply ?67 (multiply ?68 ?69) [69, 68, 67] by associativity ?67 ?68 ?69
Id :  34, {_}: multiply identity ?99 =<= multiply (inverse ?100) (multiply ?100 ?99) [100, 99] by Super 26 with 3 at 1,2
Id : 5826, {_}: ?7344 =<= multiply (inverse ?7345) (multiply ?7345 ?7344) [7345, 7344] by Demod 34 with 2 at 2
Id :  56, {_}: inverse (multiply (inverse ?148) ?149) =>= multiply (inverse ?149) ?148 [149, 148] by Super 54 with 6 at 2,3
Id :  55, {_}: inverse (multiply identity ?146) =<= multiply (inverse ?146) identity [146] by Super 54 with 5 at 2,3
Id : 358, {_}: inverse ?856 =<= multiply (inverse ?856) identity [856] by Demod 55 with 2 at 1,2
Id : 360, {_}: inverse (inverse ?859) =<= multiply ?859 identity [859] by Super 358 with 6 at 1,3
Id : 375, {_}: ?859 =<= multiply ?859 identity [859] by Demod 360 with 6 at 2
Id : 380, {_}: multiply ?870 (union ?871 identity) =?= union (multiply ?870 ?871) ?870 [871, 870] by Super 16 with 375 at 2,3
Id : 2246, {_}: multiply ?3132 (positive_part ?3133) =<= union (multiply ?3132 ?3133) ?3132 [3133, 3132] by Demod 380 with 20 at 2,2
Id : 2248, {_}: multiply (inverse ?3137) (positive_part ?3137) =>= union identity (inverse ?3137) [3137] by Super 2246 with 3 at 1,3
Id : 266, {_}: positive_part ?724 =<= union identity ?724 [724] by Super 11 with 20 at 2
Id : 2283, {_}: multiply (inverse ?3137) (positive_part ?3137) =>= positive_part (inverse ?3137) [3137] by Demod 2248 with 266 at 3
Id : 2301, {_}: inverse (positive_part (inverse ?3182)) =<= multiply (inverse (positive_part ?3182)) ?3182 [3182] by Super 56 with 2283 at 1,2
Id : 5841, {_}: ?7382 =<= multiply (inverse (inverse (positive_part ?7382))) (inverse (positive_part (inverse ?7382))) [7382] by Super 5826 with 2301 at 2,3
Id : 5866, {_}: ?7382 =<= inverse (multiply (positive_part (inverse ?7382)) (inverse (positive_part ?7382))) [7382] by Demod 5841 with 7 at 3
Id :  58, {_}: inverse (multiply ?153 (inverse ?154)) =>= multiply ?154 (inverse ?153) [154, 153] by Super 54 with 6 at 1,3
Id : 5867, {_}: ?7382 =<= multiply (positive_part ?7382) (inverse (positive_part (inverse ?7382))) [7382] by Demod 5866 with 58 at 3
Id : 183, {_}: multiply (inverse ?539) (intersection ?539 ?540) =>= intersection identity (multiply (inverse ?539) ?540) [540, 539] by Super 176 with 3 at 1,3
Id : 283, {_}: negative_part ?752 =<= intersection identity ?752 [752] by Super 10 with 21 at 2
Id : 6079, {_}: multiply (inverse ?539) (intersection ?539 ?540) =>= negative_part (multiply (inverse ?539) ?540) [540, 539] by Demod 183 with 283 at 3
Id : 239, {_}: multiply (intersection ?670 (inverse ?671)) ?671 =>= intersection (multiply ?670 ?671) identity [671, 670] by Super 237 with 3 at 2,3
Id : 258, {_}: multiply (intersection ?670 (inverse ?671)) ?671 =>= intersection identity (multiply ?670 ?671) [671, 670] by Demod 239 with 10 at 3
Id : 11314, {_}: multiply (intersection ?670 (inverse ?671)) ?671 =>= negative_part (multiply ?670 ?671) [671, 670] by Demod 258 with 283 at 3
Id : 268, {_}: union ?729 (union ?730 identity) =>= positive_part (union ?729 ?730) [730, 729] by Super 13 with 20 at 3
Id : 278, {_}: union ?729 (positive_part ?730) =>= positive_part (union ?729 ?730) [730, 729] by Demod 268 with 20 at 2,2
Id : 33891, {_}: intersection (positive_part (union ?35597 ?35598)) (positive_part ?35598) =>= positive_part ?35598 [35598, 35597] by Super 15 with 278 at 1,2
Id : 406, {_}: multiply ?870 (positive_part ?871) =<= union (multiply ?870 ?871) ?870 [871, 870] by Demod 380 with 20 at 2,2
Id : 244, {_}: multiply (intersection (inverse ?690) ?691) ?690 =>= intersection identity (multiply ?691 ?690) [691, 690] by Super 237 with 3 at 1,3
Id : 9354, {_}: multiply (intersection (inverse ?10413) ?10414) ?10413 =>= negative_part (multiply ?10414 ?10413) [10414, 10413] by Demod 244 with 283 at 3
Id : 9364, {_}: multiply (negative_part (inverse ?10443)) ?10443 =>= negative_part (multiply identity ?10443) [10443] by Super 9354 with 21 at 1,2
Id : 9412, {_}: multiply (negative_part (inverse ?10443)) ?10443 =>= negative_part ?10443 [10443] by Demod 9364 with 2 at 1,3
Id : 9460, {_}: inverse (negative_part (inverse ?10506)) =<= multiply ?10506 (inverse (negative_part (inverse (inverse ?10506)))) [10506] by Super 58 with 9412 at 1,2
Id : 9487, {_}: inverse (negative_part (inverse ?10506)) =<= multiply ?10506 (inverse (negative_part ?10506)) [10506] by Demod 9460 with 6 at 1,1,2,3
Id : 9638, {_}: multiply ?10688 (positive_part (inverse (negative_part ?10688))) =>= union (inverse (negative_part (inverse ?10688))) ?10688 [10688] by Super 406 with 9487 at 1,3
Id : 329, {_}: union (negative_part ?811) ?811 =>= ?811 [811] by Super 14 with 283 at 1,2
Id : 387, {_}: multiply ?887 (intersection ?888 identity) =?= intersection (multiply ?887 ?888) ?887 [888, 887] by Super 17 with 375 at 2,3
Id : 1761, {_}: multiply ?2622 (negative_part ?2623) =<= intersection (multiply ?2622 ?2623) ?2622 [2623, 2622] by Demod 387 with 21 at 2,2
Id : 1763, {_}: multiply (inverse ?2627) (negative_part ?2627) =>= intersection identity (inverse ?2627) [2627] by Super 1761 with 3 at 1,3
Id : 1811, {_}: multiply (inverse ?2696) (negative_part ?2696) =>= negative_part (inverse ?2696) [2696] by Demod 1763 with 283 at 3
Id : 285, {_}: intersection ?757 (intersection ?758 identity) =>= negative_part (intersection ?757 ?758) [758, 757] by Super 12 with 21 at 3
Id : 522, {_}: intersection ?1051 (negative_part ?1052) =>= negative_part (intersection ?1051 ?1052) [1052, 1051] by Demod 285 with 21 at 2,2
Id : 282, {_}: negative_part identity =>= identity [] by Super 8 with 21 at 2
Id : 523, {_}: intersection ?1054 identity =<= negative_part (intersection ?1054 identity) [1054] by Super 522 with 282 at 2,2
Id : 536, {_}: negative_part ?1054 =<= negative_part (intersection ?1054 identity) [1054] by Demod 523 with 21 at 2
Id : 537, {_}: negative_part ?1054 =<= negative_part (negative_part ?1054) [1054] by Demod 536 with 21 at 1,3
Id : 1816, {_}: multiply (inverse (negative_part ?2707)) (negative_part ?2707) =>= negative_part (inverse (negative_part ?2707)) [2707] by Super 1811 with 537 at 2,2
Id : 1841, {_}: identity =<= negative_part (inverse (negative_part ?2707)) [2707] by Demod 1816 with 3 at 2
Id : 1893, {_}: union identity (inverse (negative_part ?2776)) =>= inverse (negative_part ?2776) [2776] by Super 329 with 1841 at 1,2
Id : 1910, {_}: positive_part (inverse (negative_part ?2776)) =>= inverse (negative_part ?2776) [2776] by Demod 1893 with 266 at 2
Id : 9665, {_}: multiply ?10688 (inverse (negative_part ?10688)) =<= union (inverse (negative_part (inverse ?10688))) ?10688 [10688] by Demod 9638 with 1910 at 2,2
Id : 9666, {_}: inverse (negative_part (inverse ?10688)) =<= union (inverse (negative_part (inverse ?10688))) ?10688 [10688] by Demod 9665 with 9487 at 2
Id : 33962, {_}: intersection (positive_part (inverse (negative_part (inverse ?35825)))) (positive_part ?35825) =>= positive_part ?35825 [35825] by Super 33891 with 9666 at 1,1,2
Id : 34170, {_}: intersection (inverse (negative_part (inverse ?35825))) (positive_part ?35825) =>= positive_part ?35825 [35825] by Demod 33962 with 1910 at 1,2
Id : 34171, {_}: intersection (positive_part ?35825) (inverse (negative_part (inverse ?35825))) =>= positive_part ?35825 [35825] by Demod 34170 with 10 at 2
Id : 34220, {_}: multiply (positive_part ?35918) (negative_part (inverse ?35918)) =<= negative_part (multiply (positive_part ?35918) (negative_part (inverse ?35918))) [35918] by Super 11314 with 34171 at 1,2
Id : 388, {_}: multiply ?890 (intersection identity ?891) =?= intersection ?890 (multiply ?890 ?891) [891, 890] by Super 17 with 375 at 1,3
Id : 401, {_}: multiply ?890 (negative_part ?891) =<= intersection ?890 (multiply ?890 ?891) [891, 890] by Demod 388 with 283 at 2,2
Id : 214, {_}: multiply (union (inverse ?613) ?614) ?613 =>= union identity (multiply ?614 ?613) [614, 613] by Super 207 with 3 at 1,3
Id : 6313, {_}: multiply (union (inverse ?8050) ?8051) ?8050 =>= positive_part (multiply ?8051 ?8050) [8051, 8050] by Demod 214 with 266 at 3
Id : 6323, {_}: multiply (positive_part (inverse ?8080)) ?8080 =>= positive_part (multiply identity ?8080) [8080] by Super 6313 with 20 at 1,2
Id : 6397, {_}: multiply (positive_part (inverse ?8149)) ?8149 =>= positive_part ?8149 [8149] by Demod 6323 with 2 at 1,3
Id : 6399, {_}: multiply (positive_part ?8152) (inverse ?8152) =>= positive_part (inverse ?8152) [8152] by Super 6397 with 6 at 1,1,2
Id : 6448, {_}: multiply (positive_part ?8169) (negative_part (inverse ?8169)) =>= intersection (positive_part ?8169) (positive_part (inverse ?8169)) [8169] by Super 401 with 6399 at 2,3
Id : 34313, {_}: intersection (positive_part ?35918) (positive_part (inverse ?35918)) =<= negative_part (multiply (positive_part ?35918) (negative_part (inverse ?35918))) [35918] by Demod 34220 with 6448 at 2
Id : 281, {_}: negative_part (union ?749 identity) =>= identity [749] by Super 15 with 21 at 2
Id : 297, {_}: negative_part (positive_part ?749) =>= identity [749] by Demod 281 with 20 at 1,2
Id : 524, {_}: intersection ?1056 identity =<= negative_part (intersection ?1056 (positive_part ?1057)) [1057, 1056] by Super 522 with 297 at 2,2
Id : 538, {_}: negative_part ?1056 =<= negative_part (intersection ?1056 (positive_part ?1057)) [1057, 1056] by Demod 524 with 21 at 2
Id : 400, {_}: multiply ?887 (negative_part ?888) =<= intersection (multiply ?887 ?888) ?887 [888, 887] by Demod 387 with 21 at 2,2
Id : 1758, {_}: negative_part (multiply (positive_part ?2613) ?2614) =<= negative_part (multiply (positive_part ?2613) (negative_part ?2614)) [2614, 2613] by Super 538 with 400 at 1,3
Id : 34314, {_}: intersection (positive_part ?35918) (positive_part (inverse ?35918)) =>= negative_part (multiply (positive_part ?35918) (inverse ?35918)) [35918] by Demod 34313 with 1758 at 3
Id : 34315, {_}: intersection (positive_part ?35918) (positive_part (inverse ?35918)) =>= negative_part (positive_part (inverse ?35918)) [35918] by Demod 34314 with 6399 at 1,3
Id : 34316, {_}: intersection (positive_part ?35918) (positive_part (inverse ?35918)) =>= identity [35918] by Demod 34315 with 297 at 3
Id : 34511, {_}: multiply (inverse (positive_part ?36106)) identity =<= negative_part (multiply (inverse (positive_part ?36106)) (positive_part (inverse ?36106))) [36106] by Super 6079 with 34316 at 2,2
Id : 34643, {_}: inverse (positive_part ?36106) =<= negative_part (multiply (inverse (positive_part ?36106)) (positive_part (inverse ?36106))) [36106] by Demod 34511 with 375 at 2
Id :  40, {_}: ?99 =<= multiply (inverse ?100) (multiply ?100 ?99) [100, 99] by Demod 34 with 2 at 2
Id : 6447, {_}: inverse ?8167 =<= multiply (inverse (positive_part ?8167)) (positive_part (inverse ?8167)) [8167] by Super 40 with 6399 at 2,3
Id : 34644, {_}: inverse (positive_part ?36106) =>= negative_part (inverse ?36106) [36106] by Demod 34643 with 6447 at 1,3
Id : 34809, {_}: ?7382 =<= multiply (positive_part ?7382) (negative_part (inverse (inverse ?7382))) [7382] by Demod 5867 with 34644 at 2,3
Id : 34923, {_}: ?7382 =<= multiply (positive_part ?7382) (negative_part ?7382) [7382] by Demod 34809 with 6 at 1,2,3
Id : 35233, {_}: a === a [] by Demod 1 with 34923 at 2
Id :   1, {_}: multiply (positive_part a) (negative_part a) =>= a [] by prove_product
% SZS output end CNFRefutation for GRP114-1.p
6327: solved GRP114-1.p in 5.960371 using nrkbo
!! infer_left                                     206    0.0003    0.0000    0.0000
!! infer_right                                    226   19.6626    0.7475    0.0870
!! simplify_goal                                  207    0.0106    0.0002    0.0001
!! keep_simplified                                734    7.0482    0.4168    0.0096
!! simplification_step                            798    7.0450    0.4090    0.0088
!! simplify                                     41265   18.8550    0.4125    0.0005
!! orphan_murder                                  743    0.4338    0.4002    0.0006
!! is_subsumed                                  34257    2.2202    0.4004    0.0001
!! build_new_clause                             12395    2.5714    0.4087    0.0002
!! demodulate                                   40852   15.8027    0.4125    0.0004
!! demod                                       246005   13.2771    0.4122    0.0001
!! demod.apply_subst                           115376    0.6332    0.4002    0.0000
!! demod.compare_terms                          36766    3.0205    0.4033    0.0001
!! demod.retrieve_generalizations              246005    4.2731    0.4003    0.0000
!! demod.unify                                 116081    1.5426    0.4121    0.0000
!! build_clause                                 35392    3.2760    0.4087    0.0001
!! compare_terms(nrkbo)                         74415    4.4450    0.4033    0.0001
!! compare_terms(nrkbo)                            21    0.0002    0.0000    0.0000
6351: Facts:
6351:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
6351:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
6351:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
6351:  Id :   5, {_}:
          greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10
          [11, 10] by symmetry_of_glb ?10 ?11
6351:  Id :   6, {_}:
          least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13
          [14, 13] by symmetry_of_lub ?13 ?14
6351:  Id :   7, {_}:
          greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
          =?=
          greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
          [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
6351:  Id :   8, {_}:
          least_upper_bound ?20 (least_upper_bound ?21 ?22)
          =?=
          least_upper_bound (least_upper_bound ?20 ?21) ?22
          [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
6351:  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
6351:  Id :  10, {_}:
          greatest_lower_bound ?26 ?26 =>= ?26
          [26] by idempotence_of_gld ?26
6351:  Id :  11, {_}:
          least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
          [29, 28] by lub_absorbtion ?28 ?29
6351:  Id :  12, {_}:
          greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
          [32, 31] by glb_absorbtion ?31 ?32
6351:  Id :  13, {_}:
          multiply ?34 (least_upper_bound ?35 ?36)
          =<=
          least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
          [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
6351:  Id :  14, {_}:
          multiply ?38 (greatest_lower_bound ?39 ?40)
          =<=
          greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
          [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
6351:  Id :  15, {_}:
          multiply (least_upper_bound ?42 ?43) ?44
          =<=
          least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
          [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
6351:  Id :  16, {_}:
          multiply (greatest_lower_bound ?46 ?47) ?48
          =<=
          greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
          [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
6351: Goal:
6351:  Id :   1, {_}:
          least_upper_bound a (greatest_lower_bound b c)
          =<=
          greatest_lower_bound (least_upper_bound a b) (least_upper_bound a c)
          [] by prove_distrnu
% SZS status Timeout for GRP164-1.p
6385: Facts:
6385:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
6385:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
6385:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
6385:  Id :   5, {_}:
          greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10
          [11, 10] by symmetry_of_glb ?10 ?11
6385:  Id :   6, {_}:
          least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13
          [14, 13] by symmetry_of_lub ?13 ?14
6385:  Id :   7, {_}:
          greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
          =?=
          greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
          [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
6385:  Id :   8, {_}:
          least_upper_bound ?20 (least_upper_bound ?21 ?22)
          =?=
          least_upper_bound (least_upper_bound ?20 ?21) ?22
          [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
6385:  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
6385:  Id :  10, {_}:
          greatest_lower_bound ?26 ?26 =>= ?26
          [26] by idempotence_of_gld ?26
6385:  Id :  11, {_}:
          least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
          [29, 28] by lub_absorbtion ?28 ?29
6385:  Id :  12, {_}:
          greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
          [32, 31] by glb_absorbtion ?31 ?32
6385:  Id :  13, {_}:
          multiply ?34 (least_upper_bound ?35 ?36)
          =<=
          least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
          [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
6385:  Id :  14, {_}:
          multiply ?38 (greatest_lower_bound ?39 ?40)
          =<=
          greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
          [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
6385:  Id :  15, {_}:
          multiply (least_upper_bound ?42 ?43) ?44
          =<=
          least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
          [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
6385:  Id :  16, {_}:
          multiply (greatest_lower_bound ?46 ?47) ?48
          =<=
          greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
          [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
6385: Goal:
6385:  Id :   1, {_}:
          greatest_lower_bound a (least_upper_bound b c)
          =<=
          least_upper_bound (greatest_lower_bound a b)
            (greatest_lower_bound a c)
          [] by prove_distrun
% SZS status Timeout for GRP164-2.p
6443: Facts:
6443:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
6443:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
6443:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
6443:  Id :   5, {_}:
          greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10
          [11, 10] by symmetry_of_glb ?10 ?11
6443:  Id :   6, {_}:
          least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13
          [14, 13] by symmetry_of_lub ?13 ?14
6443:  Id :   7, {_}:
          greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
          =?=
          greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
          [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
6443:  Id :   8, {_}:
          least_upper_bound ?20 (least_upper_bound ?21 ?22)
          =?=
          least_upper_bound (least_upper_bound ?20 ?21) ?22
          [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
6443:  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
6443:  Id :  10, {_}:
          greatest_lower_bound ?26 ?26 =>= ?26
          [26] by idempotence_of_gld ?26
6443:  Id :  11, {_}:
          least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
          [29, 28] by lub_absorbtion ?28 ?29
6443:  Id :  12, {_}:
          greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
          [32, 31] by glb_absorbtion ?31 ?32
6443:  Id :  13, {_}:
          multiply ?34 (least_upper_bound ?35 ?36)
          =<=
          least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
          [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
6443:  Id :  14, {_}:
          multiply ?38 (greatest_lower_bound ?39 ?40)
          =<=
          greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
          [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
6443:  Id :  15, {_}:
          multiply (least_upper_bound ?42 ?43) ?44
          =<=
          least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
          [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
6443:  Id :  16, {_}:
          multiply (greatest_lower_bound ?46 ?47) ?48
          =<=
          greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
          [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
6443:  Id :  17, {_}:
          positive_part ?50 =<= least_upper_bound ?50 identity
          [50] by lat4_1 ?50
6443:  Id :  18, {_}:
          negative_part ?52 =<= greatest_lower_bound ?52 identity
          [52] by lat4_2 ?52
6443:  Id :  19, {_}:
          least_upper_bound ?54 (greatest_lower_bound ?55 ?56)
          =<=
          greatest_lower_bound (least_upper_bound ?54 ?55)
            (least_upper_bound ?54 ?56)
          [56, 55, 54] by lat4_3 ?54 ?55 ?56
6443:  Id :  20, {_}:
          greatest_lower_bound ?58 (least_upper_bound ?59 ?60)
          =<=
          least_upper_bound (greatest_lower_bound ?58 ?59)
            (greatest_lower_bound ?58 ?60)
          [60, 59, 58] by lat4_4 ?58 ?59 ?60
6443: Goal:
6443:  Id :   1, {_}:
          a =<= multiply (positive_part a) (negative_part a)
          [] by prove_lat4
Statistics :
Max weight : 16
Found proof, 42.804636s
% SZS status Unsatisfiable for GRP167-1.p
% SZS output start CNFRefutation for GRP167-1.p
Id :   8, {_}: least_upper_bound ?20 (least_upper_bound ?21 ?22) =<= least_upper_bound (least_upper_bound ?20 ?21) ?22 [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
Id : 185, {_}: multiply (least_upper_bound ?425 ?426) ?427 =<= least_upper_bound (multiply ?425 ?427) (multiply ?426 ?427) [427, 426, 425] by monotony_lub2 ?425 ?426 ?427
Id :  20, {_}: greatest_lower_bound ?58 (least_upper_bound ?59 ?60) =<= least_upper_bound (greatest_lower_bound ?58 ?59) (greatest_lower_bound ?58 ?60) [60, 59, 58] by lat4_4 ?58 ?59 ?60
Id :  19, {_}: least_upper_bound ?54 (greatest_lower_bound ?55 ?56) =<= greatest_lower_bound (least_upper_bound ?54 ?55) (least_upper_bound ?54 ?56) [56, 55, 54] by lat4_3 ?54 ?55 ?56
Id :  11, {_}: least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28 [29, 28] by lub_absorbtion ?28 ?29
Id :  12, {_}: greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31 [32, 31] by glb_absorbtion ?31 ?32
Id :  10, {_}: greatest_lower_bound ?26 ?26 =>= ?26 [26] by idempotence_of_gld ?26
Id :   7, {_}: greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18) =<= greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18 [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
Id : 328, {_}: greatest_lower_bound ?721 (least_upper_bound ?722 ?723) =<= least_upper_bound (greatest_lower_bound ?721 ?722) (greatest_lower_bound ?721 ?723) [723, 722, 721] by lat4_4 ?721 ?722 ?723
Id :  14, {_}: multiply ?38 (greatest_lower_bound ?39 ?40) =<= greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40) [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
Id :   6, {_}: least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13 [14, 13] by symmetry_of_lub ?13 ?14
Id :  17, {_}: positive_part ?50 =<= least_upper_bound ?50 identity [50] by lat4_1 ?50
Id :  13, {_}: multiply ?34 (least_upper_bound ?35 ?36) =<= least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36) [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
Id :  18, {_}: negative_part ?52 =<= greatest_lower_bound ?52 identity [52] by lat4_2 ?52
Id :   5, {_}: greatest_lower_bound ?10 ?11 =?= greatest_lower_bound ?11 ?10 [11, 10] by symmetry_of_glb ?10 ?11
Id : 215, {_}: multiply (greatest_lower_bound ?492 ?493) ?494 =<= greatest_lower_bound (multiply ?492 ?494) (multiply ?493 ?494) [494, 493, 492] by monotony_glb2 ?492 ?493 ?494
Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
Id :  25, {_}: multiply (multiply ?69 ?70) ?71 =>= multiply ?69 (multiply ?70 ?71) [71, 70, 69] by associativity ?69 ?70 ?71
Id :  27, {_}: multiply identity ?76 =<= multiply (inverse ?77) (multiply ?77 ?76) [77, 76] by Super 25 with 3 at 1,2
Id :  31, {_}: ?76 =<= multiply (inverse ?77) (multiply ?77 ?76) [77, 76] by Demod 27 with 2 at 2
Id : 219, {_}: multiply (greatest_lower_bound identity ?507) ?508 =<= greatest_lower_bound ?508 (multiply ?507 ?508) [508, 507] by Super 215 with 2 at 1,3
Id : 256, {_}: greatest_lower_bound identity ?562 =>= negative_part ?562 [562] by Super 5 with 18 at 3
Id : 3653, {_}: multiply (negative_part ?5552) ?5553 =<= greatest_lower_bound ?5553 (multiply ?5552 ?5553) [5553, 5552] by Demod 219 with 256 at 1,2
Id : 3655, {_}: multiply (negative_part (inverse ?5557)) ?5557 =>= greatest_lower_bound ?5557 identity [5557] by Super 3653 with 3 at 2,3
Id : 3682, {_}: multiply (negative_part (inverse ?5557)) ?5557 =>= negative_part ?5557 [5557] by Demod 3655 with 18 at 3
Id : 3699, {_}: ?5590 =<= multiply (inverse (negative_part (inverse ?5590))) (negative_part ?5590) [5590] by Super 31 with 3682 at 2,3
Id : 458, {_}: ?912 =<= multiply (inverse ?913) (multiply ?913 ?912) [913, 912] by Demod 27 with 2 at 2
Id : 460, {_}: ?917 =<= multiply (inverse (inverse ?917)) identity [917] by Super 458 with 3 at 2,3
Id : 890, {_}: multiply (inverse (inverse ?1538)) (least_upper_bound ?1539 identity) =<= least_upper_bound (multiply (inverse (inverse ?1538)) ?1539) ?1538 [1539, 1538] by Super 13 with 460 at 2,3
Id : 899, {_}: multiply (inverse (inverse ?1538)) (positive_part ?1539) =<= least_upper_bound (multiply (inverse (inverse ?1538)) ?1539) ?1538 [1539, 1538] by Demod 890 with 17 at 2,2
Id : 900, {_}: multiply (inverse (inverse ?1538)) (positive_part ?1539) =<= least_upper_bound ?1538 (multiply (inverse (inverse ?1538)) ?1539) [1539, 1538] by Demod 899 with 6 at 3
Id : 462, {_}: multiply ?923 ?924 =<= multiply (inverse (inverse ?923)) ?924 [924, 923] by Super 458 with 31 at 2,3
Id : 1464, {_}: ?917 =<= multiply ?917 identity [917] by Demod 460 with 462 at 3
Id : 1465, {_}: inverse (inverse ?2401) =<= multiply ?2401 identity [2401] by Super 1464 with 462 at 3
Id : 1504, {_}: inverse (inverse ?2401) =>= ?2401 [2401] by Demod 1465 with 1464 at 3
Id : 38316, {_}: multiply ?1538 (positive_part ?1539) =<= least_upper_bound ?1538 (multiply (inverse (inverse ?1538)) ?1539) [1539, 1538] by Demod 900 with 1504 at 1,2
Id : 38317, {_}: multiply ?1538 (positive_part ?1539) =<= least_upper_bound ?1538 (multiply ?1538 ?1539) [1539, 1538] by Demod 38316 with 1504 at 1,2,3
Id : 1478, {_}: multiply ?2447 ?2448 =<= multiply (inverse (inverse ?2447)) ?2448 [2448, 2447] by Super 458 with 31 at 2,3
Id : 1480, {_}: multiply ?2452 (inverse ?2452) =>= identity [2452] by Super 1478 with 3 at 3
Id : 1526, {_}: multiply ?2495 (greatest_lower_bound ?2496 (inverse ?2495)) =>= greatest_lower_bound (multiply ?2495 ?2496) identity [2496, 2495] by Super 14 with 1480 at 2,3
Id : 1539, {_}: multiply ?2495 (greatest_lower_bound ?2496 (inverse ?2495)) =>= greatest_lower_bound identity (multiply ?2495 ?2496) [2496, 2495] by Demod 1526 with 5 at 3
Id : 12010, {_}: multiply ?16307 (greatest_lower_bound ?16308 (inverse ?16307)) =>= negative_part (multiply ?16307 ?16308) [16308, 16307] by Demod 1539 with 256 at 3
Id : 12012, {_}: multiply (inverse ?16312) (greatest_lower_bound ?16313 ?16312) =>= negative_part (multiply (inverse ?16312) ?16313) [16313, 16312] by Super 12010 with 1504 at 2,2,2
Id : 345, {_}: greatest_lower_bound ?793 (least_upper_bound identity ?794) =<= least_upper_bound (negative_part ?793) (greatest_lower_bound ?793 ?794) [794, 793] by Super 328 with 18 at 1,3
Id : 242, {_}: least_upper_bound identity ?537 =>= positive_part ?537 [537] by Super 6 with 17 at 3
Id : 9229, {_}: greatest_lower_bound ?12504 (positive_part ?12505) =<= least_upper_bound (negative_part ?12504) (greatest_lower_bound ?12504 ?12505) [12505, 12504] by Demod 345 with 242 at 2,2
Id : 614, {_}: greatest_lower_bound ?1129 (greatest_lower_bound ?1130 ?1131) =?= greatest_lower_bound ?1130 (greatest_lower_bound ?1131 ?1129) [1131, 1130, 1129] by Super 5 with 7 at 3
Id : 616, {_}: greatest_lower_bound ?1137 (greatest_lower_bound ?1138 ?1137) =>= greatest_lower_bound ?1138 ?1137 [1138, 1137] by Super 614 with 10 at 2,3
Id : 9240, {_}: greatest_lower_bound ?12536 (positive_part (greatest_lower_bound ?12537 ?12536)) =<= least_upper_bound (negative_part ?12536) (greatest_lower_bound ?12537 ?12536) [12537, 12536] by Super 9229 with 616 at 2,3
Id : 9230, {_}: greatest_lower_bound ?12507 (positive_part ?12508) =<= least_upper_bound (negative_part ?12507) (greatest_lower_bound ?12508 ?12507) [12508, 12507] by Super 9229 with 5 at 2,3
Id : 27589, {_}: greatest_lower_bound ?12536 (positive_part (greatest_lower_bound ?12537 ?12536)) =>= greatest_lower_bound ?12536 (positive_part ?12537) [12537, 12536] by Demod 9240 with 9230 at 3
Id : 570, {_}: greatest_lower_bound ?1031 (positive_part ?1031) =>= ?1031 [1031] by Super 12 with 17 at 2,2
Id : 479, {_}: least_upper_bound identity (negative_part ?945) =>= identity [945] by Super 11 with 256 at 2,2
Id : 489, {_}: positive_part (negative_part ?945) =>= identity [945] by Demod 479 with 242 at 2
Id : 572, {_}: greatest_lower_bound (negative_part ?1034) identity =>= negative_part ?1034 [1034] by Super 570 with 489 at 2,2
Id : 582, {_}: greatest_lower_bound identity (negative_part ?1034) =>= negative_part ?1034 [1034] by Demod 572 with 5 at 2
Id : 583, {_}: negative_part (negative_part ?1034) =>= negative_part ?1034 [1034] by Demod 582 with 256 at 2
Id : 38365, {_}: multiply ?43271 (positive_part ?43272) =<= least_upper_bound ?43271 (multiply ?43271 ?43272) [43272, 43271] by Demod 38316 with 1504 at 1,2,3
Id : 38381, {_}: multiply (negative_part (inverse ?43315)) (positive_part ?43315) =<= least_upper_bound (negative_part (inverse ?43315)) (negative_part ?43315) [43315] by Super 38365 with 3682 at 2,3
Id : 3636, {_}: multiply (negative_part ?507) ?508 =<= greatest_lower_bound ?508 (multiply ?507 ?508) [508, 507] by Demod 219 with 256 at 1,2
Id : 1521, {_}: multiply ?2482 (least_upper_bound ?2483 (inverse ?2482)) =>= least_upper_bound (multiply ?2482 ?2483) identity [2483, 2482] by Super 13 with 1480 at 2,3
Id : 1544, {_}: multiply ?2482 (least_upper_bound ?2483 (inverse ?2482)) =>= least_upper_bound identity (multiply ?2482 ?2483) [2483, 2482] by Demod 1521 with 6 at 3
Id : 14157, {_}: multiply ?18540 (least_upper_bound ?18541 (inverse ?18540)) =>= positive_part (multiply ?18540 ?18541) [18541, 18540] by Demod 1544 with 242 at 3
Id : 14162, {_}: multiply ?18553 (positive_part (inverse ?18553)) =>= positive_part (multiply ?18553 identity) [18553] by Super 14157 with 242 at 2,2
Id : 14196, {_}: multiply ?18553 (positive_part (inverse ?18553)) =>= positive_part ?18553 [18553] by Demod 14162 with 1464 at 1,3
Id : 14225, {_}: positive_part (inverse ?18621) =<= multiply (inverse ?18621) (positive_part ?18621) [18621] by Super 31 with 14196 at 2,3
Id : 14293, {_}: multiply (negative_part (inverse ?18673)) (positive_part ?18673) =<= greatest_lower_bound (positive_part ?18673) (positive_part (inverse ?18673)) [18673] by Super 3636 with 14225 at 2,3
Id : 421, {_}: least_upper_bound identity (greatest_lower_bound ?854 ?855) =<= greatest_lower_bound (least_upper_bound identity ?854) (positive_part ?855) [855, 854] by Super 19 with 242 at 2,3
Id : 432, {_}: positive_part (greatest_lower_bound ?854 ?855) =<= greatest_lower_bound (least_upper_bound identity ?854) (positive_part ?855) [855, 854] by Demod 421 with 242 at 2
Id : 433, {_}: positive_part (greatest_lower_bound ?854 ?855) =<= greatest_lower_bound (positive_part ?854) (positive_part ?855) [855, 854] by Demod 432 with 242 at 1,3
Id : 14322, {_}: multiply (negative_part (inverse ?18673)) (positive_part ?18673) =>= positive_part (greatest_lower_bound ?18673 (inverse ?18673)) [18673] by Demod 14293 with 433 at 3
Id : 38491, {_}: positive_part (greatest_lower_bound ?43315 (inverse ?43315)) =<= least_upper_bound (negative_part (inverse ?43315)) (negative_part ?43315) [43315] by Demod 38381 with 14322 at 2
Id : 38492, {_}: positive_part (greatest_lower_bound ?43315 (inverse ?43315)) =<= least_upper_bound (negative_part ?43315) (negative_part (inverse ?43315)) [43315] by Demod 38491 with 6 at 3
Id : 471, {_}: greatest_lower_bound identity (least_upper_bound ?928 ?929) =<= least_upper_bound (greatest_lower_bound identity ?928) (negative_part ?929) [929, 928] by Super 20 with 256 at 2,3
Id : 497, {_}: negative_part (least_upper_bound ?928 ?929) =<= least_upper_bound (greatest_lower_bound identity ?928) (negative_part ?929) [929, 928] by Demod 471 with 256 at 2
Id : 498, {_}: negative_part (least_upper_bound ?928 ?929) =<= least_upper_bound (negative_part ?928) (negative_part ?929) [929, 928] by Demod 497 with 256 at 1,3
Id : 38493, {_}: positive_part (greatest_lower_bound ?43315 (inverse ?43315)) =<= negative_part (least_upper_bound ?43315 (inverse ?43315)) [43315] by Demod 38492 with 498 at 3
Id : 38639, {_}: negative_part (positive_part (greatest_lower_bound ?43522 (inverse ?43522))) =>= negative_part (least_upper_bound ?43522 (inverse ?43522)) [43522] by Super 583 with 38493 at 1,2
Id : 474, {_}: negative_part (least_upper_bound identity ?935) =>= identity [935] by Super 12 with 256 at 2
Id : 494, {_}: negative_part (positive_part ?935) =>= identity [935] by Demod 474 with 242 at 1,2
Id : 38757, {_}: identity =<= negative_part (least_upper_bound ?43522 (inverse ?43522)) [43522] by Demod 38639 with 494 at 2
Id : 38758, {_}: identity =<= positive_part (greatest_lower_bound ?43522 (inverse ?43522)) [43522] by Demod 38757 with 38493 at 3
Id : 40458, {_}: greatest_lower_bound (inverse ?44923) identity =<= greatest_lower_bound (inverse ?44923) (positive_part ?44923) [44923] by Super 27589 with 38758 at 2,2
Id : 40517, {_}: greatest_lower_bound identity (inverse ?44923) =<= greatest_lower_bound (inverse ?44923) (positive_part ?44923) [44923] by Demod 40458 with 5 at 2
Id : 40518, {_}: negative_part (inverse ?44923) =<= greatest_lower_bound (inverse ?44923) (positive_part ?44923) [44923] by Demod 40517 with 256 at 2
Id : 41375, {_}: multiply (inverse (positive_part ?45517)) (negative_part (inverse ?45517)) =>= negative_part (multiply (inverse (positive_part ?45517)) (inverse ?45517)) [45517] by Super 12012 with 40518 at 2,2
Id : 50498, {_}: multiply (inverse (positive_part ?53015)) (positive_part (negative_part (inverse ?53015))) =<= least_upper_bound (inverse (positive_part ?53015)) (negative_part (multiply (inverse (positive_part ?53015)) (inverse ?53015))) [53015] by Super 38317 with 41375 at 2,3
Id : 50621, {_}: multiply (inverse (positive_part ?53015)) identity =<= least_upper_bound (inverse (positive_part ?53015)) (negative_part (multiply (inverse (positive_part ?53015)) (inverse ?53015))) [53015] by Demod 50498 with 489 at 2,2
Id : 246, {_}: greatest_lower_bound ?547 (positive_part ?547) =>= ?547 [547] by Super 12 with 17 at 2,2
Id : 189, {_}: multiply (least_upper_bound identity ?440) ?441 =<= least_upper_bound ?441 (multiply ?440 ?441) [441, 440] by Super 185 with 2 at 1,3
Id : 3246, {_}: multiply (positive_part ?5097) ?5098 =<= least_upper_bound ?5098 (multiply ?5097 ?5098) [5098, 5097] by Demod 189 with 242 at 1,2
Id : 3250, {_}: multiply (positive_part ?5108) (inverse ?5108) =>= least_upper_bound (inverse ?5108) identity [5108] by Super 3246 with 1480 at 2,3
Id : 3271, {_}: multiply (positive_part ?5108) (inverse ?5108) =>= least_upper_bound identity (inverse ?5108) [5108] by Demod 3250 with 6 at 3
Id : 3333, {_}: multiply (positive_part ?5201) (inverse ?5201) =>= positive_part (inverse ?5201) [5201] by Demod 3271 with 242 at 3
Id : 245, {_}: least_upper_bound ?544 (least_upper_bound ?545 identity) =>= positive_part (least_upper_bound ?544 ?545) [545, 544] by Super 8 with 17 at 3
Id : 253, {_}: least_upper_bound ?544 (positive_part ?545) =>= positive_part (least_upper_bound ?544 ?545) [545, 544] by Demod 245 with 17 at 2,2
Id : 690, {_}: positive_part (least_upper_bound (positive_part ?1303) ?1303) =>= positive_part ?1303 [1303] by Super 9 with 253 at 2
Id : 710, {_}: positive_part (least_upper_bound ?1303 (positive_part ?1303)) =>= positive_part ?1303 [1303] by Demod 690 with 6 at 1,2
Id : 711, {_}: positive_part (positive_part (least_upper_bound ?1303 ?1303)) =>= positive_part ?1303 [1303] by Demod 710 with 253 at 1,2
Id : 712, {_}: positive_part (positive_part ?1303) =>= positive_part ?1303 [1303] by Demod 711 with 9 at 1,1,2
Id : 3338, {_}: multiply (positive_part ?5209) (inverse (positive_part ?5209)) =>= positive_part (inverse (positive_part ?5209)) [5209] by Super 3333 with 712 at 1,2
Id : 3375, {_}: identity =<= positive_part (inverse (positive_part ?5209)) [5209] by Demod 3338 with 1480 at 2
Id : 3433, {_}: greatest_lower_bound (inverse (positive_part ?5311)) identity =>= inverse (positive_part ?5311) [5311] by Super 246 with 3375 at 2,2
Id : 3474, {_}: greatest_lower_bound identity (inverse (positive_part ?5311)) =>= inverse (positive_part ?5311) [5311] by Demod 3433 with 5 at 2
Id : 3475, {_}: negative_part (inverse (positive_part ?5311)) =>= inverse (positive_part ?5311) [5311] by Demod 3474 with 256 at 2
Id : 3571, {_}: negative_part (least_upper_bound (inverse (positive_part ?5438)) ?5439) =<= least_upper_bound (inverse (positive_part ?5438)) (negative_part ?5439) [5439, 5438] by Super 498 with 3475 at 1,3
Id : 50622, {_}: multiply (inverse (positive_part ?53015)) identity =<= negative_part (least_upper_bound (inverse (positive_part ?53015)) (multiply (inverse (positive_part ?53015)) (inverse ?53015))) [53015] by Demod 50621 with 3571 at 3
Id : 50623, {_}: inverse (positive_part ?53015) =<= negative_part (least_upper_bound (inverse (positive_part ?53015)) (multiply (inverse (positive_part ?53015)) (inverse ?53015))) [53015] by Demod 50622 with 1464 at 2
Id : 50624, {_}: inverse (positive_part ?53015) =<= negative_part (multiply (inverse (positive_part ?53015)) (positive_part (inverse ?53015))) [53015] by Demod 50623 with 38317 at 1,3
Id : 3272, {_}: multiply (positive_part ?5108) (inverse ?5108) =>= positive_part (inverse ?5108) [5108] by Demod 3271 with 242 at 3
Id : 3332, {_}: inverse ?5199 =<= multiply (inverse (positive_part ?5199)) (positive_part (inverse ?5199)) [5199] by Super 31 with 3272 at 2,3
Id : 50625, {_}: inverse (positive_part ?53015) =<= negative_part (inverse ?53015) [53015] by Demod 50624 with 3332 at 1,3
Id : 50945, {_}: ?5590 =<= multiply (inverse (inverse (positive_part ?5590))) (negative_part ?5590) [5590] by Demod 3699 with 50625 at 1,1,3
Id : 50972, {_}: ?5590 =<= multiply (positive_part ?5590) (negative_part ?5590) [5590] by Demod 50945 with 1504 at 1,3
Id : 51308, {_}: a =?= a [] by Demod 1 with 50972 at 3
Id :   1, {_}: a =<= multiply (positive_part a) (negative_part a) [] by prove_lat4
% SZS output end CNFRefutation for GRP167-1.p
6444: solved GRP167-1.p in 10.716669 using kbo
!! infer_left                                     253    0.0004    0.0000    0.0000
!! infer_right                                    254   33.9093    0.7470    0.1335
!! simplify_goal                                  254    0.0129    0.0002    0.0001
!! keep_simplified                                757    8.7621    0.7731    0.0116
!! simplification_step                            839    8.7588    0.3194    0.0104
!! simplify                                     56377   37.0639    0.3081    0.0007
!! orphan_murder                                  759    0.0371    0.0005    0.0000
!! is_subsumed                                  50386    1.4703    0.3006    0.0000
!! build_new_clause                             21099    1.5322    0.3051    0.0001
!! demodulate                                   55910   35.1046    0.3080    0.0006
!! demod                                       381341   27.7607    0.3077    0.0001
!! demod.apply_subst                           367092    1.8562    0.3003    0.0000
!! demod.compare_terms                         151254    7.6837    0.3076    0.0001
!! demod.retrieve_generalizations              381341    8.2902    0.3002    0.0000
!! demod.unify                                 288772    3.4169    0.3003    0.0000
!! build_clause                                 55004    4.2388    0.3037    0.0001
!! compare_terms(kbo)                          209985    9.1470    0.3076    0.0000
!! compare_terms(nrkbo)                            20    0.0002    0.0000    0.0000
6451: Facts:
6451:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
6451:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
6451:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
6451:  Id :   5, {_}:
          greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10
          [11, 10] by symmetry_of_glb ?10 ?11
6451:  Id :   6, {_}:
          least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13
          [14, 13] by symmetry_of_lub ?13 ?14
6451:  Id :   7, {_}:
          greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
          =?=
          greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
          [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
6451:  Id :   8, {_}:
          least_upper_bound ?20 (least_upper_bound ?21 ?22)
          =?=
          least_upper_bound (least_upper_bound ?20 ?21) ?22
          [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
6451:  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
6451:  Id :  10, {_}:
          greatest_lower_bound ?26 ?26 =>= ?26
          [26] by idempotence_of_gld ?26
6451:  Id :  11, {_}:
          least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
          [29, 28] by lub_absorbtion ?28 ?29
6451:  Id :  12, {_}:
          greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
          [32, 31] by glb_absorbtion ?31 ?32
6451:  Id :  13, {_}:
          multiply ?34 (least_upper_bound ?35 ?36)
          =<=
          least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
          [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
6451:  Id :  14, {_}:
          multiply ?38 (greatest_lower_bound ?39 ?40)
          =<=
          greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
          [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
6451:  Id :  15, {_}:
          multiply (least_upper_bound ?42 ?43) ?44
          =<=
          least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
          [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
6451:  Id :  16, {_}:
          multiply (greatest_lower_bound ?46 ?47) ?48
          =<=
          greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
          [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
6451:  Id :  17, {_}: inverse identity =>= identity [] by lat4_1
6451:  Id :  18, {_}: inverse (inverse ?51) =>= ?51 [51] by lat4_2 ?51
6451:  Id :  19, {_}:
          inverse (multiply ?53 ?54) =<= multiply (inverse ?54) (inverse ?53)
          [54, 53] by lat4_3 ?53 ?54
6451:  Id :  20, {_}:
          positive_part ?56 =<= least_upper_bound ?56 identity
          [56] by lat4_4 ?56
6451:  Id :  21, {_}:
          negative_part ?58 =<= greatest_lower_bound ?58 identity
          [58] by lat4_5 ?58
6451:  Id :  22, {_}:
          least_upper_bound ?60 (greatest_lower_bound ?61 ?62)
          =<=
          greatest_lower_bound (least_upper_bound ?60 ?61)
            (least_upper_bound ?60 ?62)
          [62, 61, 60] by lat4_6 ?60 ?61 ?62
6451:  Id :  23, {_}:
          greatest_lower_bound ?64 (least_upper_bound ?65 ?66)
          =<=
          least_upper_bound (greatest_lower_bound ?64 ?65)
            (greatest_lower_bound ?64 ?66)
          [66, 65, 64] by lat4_7 ?64 ?65 ?66
6451: Goal:
6451:  Id :   1, {_}:
          a =<= multiply (positive_part a) (negative_part a)
          [] by prove_lat4
% SZS status Timeout for GRP167-2.p
6498: Facts:
6498:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
6498:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
6498:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
6498:  Id :   5, {_}:
          greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10
          [11, 10] by symmetry_of_glb ?10 ?11
6498:  Id :   6, {_}:
          least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13
          [14, 13] by symmetry_of_lub ?13 ?14
6498:  Id :   7, {_}:
          greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
          =?=
          greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
          [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
6498:  Id :   8, {_}:
          least_upper_bound ?20 (least_upper_bound ?21 ?22)
          =?=
          least_upper_bound (least_upper_bound ?20 ?21) ?22
          [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
6498:  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
6498:  Id :  10, {_}:
          greatest_lower_bound ?26 ?26 =>= ?26
          [26] by idempotence_of_gld ?26
6498:  Id :  11, {_}:
          least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
          [29, 28] by lub_absorbtion ?28 ?29
6498:  Id :  12, {_}:
          greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
          [32, 31] by glb_absorbtion ?31 ?32
6498:  Id :  13, {_}:
          multiply ?34 (least_upper_bound ?35 ?36)
          =<=
          least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
          [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
6498:  Id :  14, {_}:
          multiply ?38 (greatest_lower_bound ?39 ?40)
          =<=
          greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
          [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
6498:  Id :  15, {_}:
          multiply (least_upper_bound ?42 ?43) ?44
          =<=
          least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
          [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
6498:  Id :  16, {_}:
          multiply (greatest_lower_bound ?46 ?47) ?48
          =<=
          greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
          [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
6498: Goal:
6498:  Id :   1, {_}:
          a
          =<=
          multiply (least_upper_bound a identity)
            (greatest_lower_bound a identity)
          [] by prove_p19
% SZS status Timeout for GRP167-3.p
6587: Facts:
6587:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
6587:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
6587:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
6587:  Id :   5, {_}:
          greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10
          [11, 10] by symmetry_of_glb ?10 ?11
6587:  Id :   6, {_}:
          least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13
          [14, 13] by symmetry_of_lub ?13 ?14
6587:  Id :   7, {_}:
          greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
          =?=
          greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
          [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
6587:  Id :   8, {_}:
          least_upper_bound ?20 (least_upper_bound ?21 ?22)
          =?=
          least_upper_bound (least_upper_bound ?20 ?21) ?22
          [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
6587:  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
6587:  Id :  10, {_}:
          greatest_lower_bound ?26 ?26 =>= ?26
          [26] by idempotence_of_gld ?26
6587:  Id :  11, {_}:
          least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
          [29, 28] by lub_absorbtion ?28 ?29
6587:  Id :  12, {_}:
          greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
          [32, 31] by glb_absorbtion ?31 ?32
6587:  Id :  13, {_}:
          multiply ?34 (least_upper_bound ?35 ?36)
          =<=
          least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
          [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
6587:  Id :  14, {_}:
          multiply ?38 (greatest_lower_bound ?39 ?40)
          =<=
          greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
          [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
6587:  Id :  15, {_}:
          multiply (least_upper_bound ?42 ?43) ?44
          =<=
          least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
          [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
6587:  Id :  16, {_}:
          multiply (greatest_lower_bound ?46 ?47) ?48
          =<=
          greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
          [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
6587:  Id :  17, {_}: inverse identity =>= identity [] by p19_1
6587:  Id :  18, {_}: inverse (inverse ?51) =>= ?51 [51] by p19_2 ?51
6587:  Id :  19, {_}:
          inverse (multiply ?53 ?54) =<= multiply (inverse ?54) (inverse ?53)
          [54, 53] by p19_3 ?53 ?54
6587: Goal:
6587:  Id :   1, {_}:
          a
          =<=
          multiply (least_upper_bound a identity)
            (greatest_lower_bound a identity)
          [] by prove_p19
% SZS status Timeout for GRP167-4.p
6626: Facts:
6626:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
6626:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
6626:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
6626:  Id :   5, {_}:
          greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10
          [11, 10] by symmetry_of_glb ?10 ?11
6626:  Id :   6, {_}:
          least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13
          [14, 13] by symmetry_of_lub ?13 ?14
6626:  Id :   7, {_}:
          greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
          =?=
          greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
          [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
6626:  Id :   8, {_}:
          least_upper_bound ?20 (least_upper_bound ?21 ?22)
          =?=
          least_upper_bound (least_upper_bound ?20 ?21) ?22
          [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
6626:  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
6626:  Id :  10, {_}:
          greatest_lower_bound ?26 ?26 =>= ?26
          [26] by idempotence_of_gld ?26
6626:  Id :  11, {_}:
          least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
          [29, 28] by lub_absorbtion ?28 ?29
6626:  Id :  12, {_}:
          greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
          [32, 31] by glb_absorbtion ?31 ?32
6626:  Id :  13, {_}:
          multiply ?34 (least_upper_bound ?35 ?36)
          =<=
          least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
          [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
6626:  Id :  14, {_}:
          multiply ?38 (greatest_lower_bound ?39 ?40)
          =<=
          greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
          [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
6626:  Id :  15, {_}:
          multiply (least_upper_bound ?42 ?43) ?44
          =<=
          least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
          [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
6626:  Id :  16, {_}:
          multiply (greatest_lower_bound ?46 ?47) ?48
          =<=
          greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
          [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
6626:  Id :  17, {_}: least_upper_bound identity a =>= a [] by p08a_1
6626:  Id :  18, {_}: least_upper_bound identity b =>= b [] by p08a_2
6626:  Id :  19, {_}: least_upper_bound identity c =>= c [] by p08a_3
6626: Goal:
6626:  Id :   1, {_}:
          least_upper_bound (greatest_lower_bound a (multiply b c))
            (multiply (greatest_lower_bound a b) (greatest_lower_bound a c))
          =>=
          multiply (greatest_lower_bound a b) (greatest_lower_bound a c)
          [] by prove_p08a
% SZS status Timeout for GRP177-1.p
6655: Facts:
6655:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
6655:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
6655:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
6655:  Id :   5, {_}:
          greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10
          [11, 10] by symmetry_of_glb ?10 ?11
6655:  Id :   6, {_}:
          least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13
          [14, 13] by symmetry_of_lub ?13 ?14
6655:  Id :   7, {_}:
          greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
          =?=
          greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
          [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
6655:  Id :   8, {_}:
          least_upper_bound ?20 (least_upper_bound ?21 ?22)
          =?=
          least_upper_bound (least_upper_bound ?20 ?21) ?22
          [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
6655:  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
6655:  Id :  10, {_}:
          greatest_lower_bound ?26 ?26 =>= ?26
          [26] by idempotence_of_gld ?26
6655:  Id :  11, {_}:
          least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
          [29, 28] by lub_absorbtion ?28 ?29
6655:  Id :  12, {_}:
          greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
          [32, 31] by glb_absorbtion ?31 ?32
6655:  Id :  13, {_}:
          multiply ?34 (least_upper_bound ?35 ?36)
          =<=
          least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
          [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
6655:  Id :  14, {_}:
          multiply ?38 (greatest_lower_bound ?39 ?40)
          =<=
          greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
          [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
6655:  Id :  15, {_}:
          multiply (least_upper_bound ?42 ?43) ?44
          =<=
          least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
          [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
6655:  Id :  16, {_}:
          multiply (greatest_lower_bound ?46 ?47) ?48
          =<=
          greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
          [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
6655:  Id :  17, {_}: greatest_lower_bound identity a =>= identity [] by p08b_1
6655:  Id :  18, {_}: greatest_lower_bound identity b =>= identity [] by p08b_2
6655:  Id :  19, {_}: greatest_lower_bound identity c =>= identity [] by p08b_3
6655: Goal:
6655:  Id :   1, {_}:
          greatest_lower_bound (greatest_lower_bound a (multiply b c))
            (multiply (greatest_lower_bound a b) (greatest_lower_bound a c))
          =>=
          greatest_lower_bound a (multiply b c)
          [] by prove_p08b
% SZS status Timeout for GRP177-2.p
6697: Facts:
6697:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
6697:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
6697:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
6697:  Id :   5, {_}:
          greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10
          [11, 10] by symmetry_of_glb ?10 ?11
6697:  Id :   6, {_}:
          least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13
          [14, 13] by symmetry_of_lub ?13 ?14
6697:  Id :   7, {_}:
          greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
          =?=
          greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
          [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
6697:  Id :   8, {_}:
          least_upper_bound ?20 (least_upper_bound ?21 ?22)
          =?=
          least_upper_bound (least_upper_bound ?20 ?21) ?22
          [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
6697:  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
6697:  Id :  10, {_}:
          greatest_lower_bound ?26 ?26 =>= ?26
          [26] by idempotence_of_gld ?26
6697:  Id :  11, {_}:
          least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
          [29, 28] by lub_absorbtion ?28 ?29
6697:  Id :  12, {_}:
          greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
          [32, 31] by glb_absorbtion ?31 ?32
6697:  Id :  13, {_}:
          multiply ?34 (least_upper_bound ?35 ?36)
          =<=
          least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
          [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
6697:  Id :  14, {_}:
          multiply ?38 (greatest_lower_bound ?39 ?40)
          =<=
          greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
          [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
6697:  Id :  15, {_}:
          multiply (least_upper_bound ?42 ?43) ?44
          =<=
          least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
          [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
6697:  Id :  16, {_}:
          multiply (greatest_lower_bound ?46 ?47) ?48
          =<=
          greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
          [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
6697:  Id :  17, {_}: least_upper_bound identity a =>= a [] by p09a_1
6697:  Id :  18, {_}: least_upper_bound identity b =>= b [] by p09a_2
6697:  Id :  19, {_}: least_upper_bound identity c =>= c [] by p09a_3
6697:  Id :  20, {_}: greatest_lower_bound a b =>= identity [] by p09a_4
6697: Goal:
6697:  Id :   1, {_}:
          greatest_lower_bound a (multiply b c) =>= greatest_lower_bound a c
          [] by prove_p09a
% SZS status Timeout for GRP178-1.p
6724: Facts:
6724:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
6724:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
6724:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
6724:  Id :   5, {_}:
          greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10
          [11, 10] by symmetry_of_glb ?10 ?11
6724:  Id :   6, {_}:
          least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13
          [14, 13] by symmetry_of_lub ?13 ?14
6724:  Id :   7, {_}:
          greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
          =?=
          greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
          [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
6724:  Id :   8, {_}:
          least_upper_bound ?20 (least_upper_bound ?21 ?22)
          =?=
          least_upper_bound (least_upper_bound ?20 ?21) ?22
          [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
6724:  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
6724:  Id :  10, {_}:
          greatest_lower_bound ?26 ?26 =>= ?26
          [26] by idempotence_of_gld ?26
6724:  Id :  11, {_}:
          least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
          [29, 28] by lub_absorbtion ?28 ?29
6724:  Id :  12, {_}:
          greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
          [32, 31] by glb_absorbtion ?31 ?32
6724:  Id :  13, {_}:
          multiply ?34 (least_upper_bound ?35 ?36)
          =<=
          least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
          [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
6724:  Id :  14, {_}:
          multiply ?38 (greatest_lower_bound ?39 ?40)
          =<=
          greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
          [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
6724:  Id :  15, {_}:
          multiply (least_upper_bound ?42 ?43) ?44
          =<=
          least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
          [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
6724:  Id :  16, {_}:
          multiply (greatest_lower_bound ?46 ?47) ?48
          =<=
          greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
          [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
6724:  Id :  17, {_}: greatest_lower_bound identity a =>= identity [] by p09b_1
6724:  Id :  18, {_}: greatest_lower_bound identity b =>= identity [] by p09b_2
6724:  Id :  19, {_}: greatest_lower_bound identity c =>= identity [] by p09b_3
6724:  Id :  20, {_}: greatest_lower_bound a b =>= identity [] by p09b_4
6724: Goal:
6724:  Id :   1, {_}:
          greatest_lower_bound a (multiply b c) =>= greatest_lower_bound a c
          [] by prove_p09b
% SZS status Timeout for GRP178-2.p
6763: Facts:
6763:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
6763:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
6763:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
6763:  Id :   5, {_}:
          greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10
          [11, 10] by symmetry_of_glb ?10 ?11
6763:  Id :   6, {_}:
          least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13
          [14, 13] by symmetry_of_lub ?13 ?14
6763:  Id :   7, {_}:
          greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
          =?=
          greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
          [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
6763:  Id :   8, {_}:
          least_upper_bound ?20 (least_upper_bound ?21 ?22)
          =?=
          least_upper_bound (least_upper_bound ?20 ?21) ?22
          [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
6763:  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
6763:  Id :  10, {_}:
          greatest_lower_bound ?26 ?26 =>= ?26
          [26] by idempotence_of_gld ?26
6763:  Id :  11, {_}:
          least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
          [29, 28] by lub_absorbtion ?28 ?29
6763:  Id :  12, {_}:
          greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
          [32, 31] by glb_absorbtion ?31 ?32
6763:  Id :  13, {_}:
          multiply ?34 (least_upper_bound ?35 ?36)
          =<=
          least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
          [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
6763:  Id :  14, {_}:
          multiply ?38 (greatest_lower_bound ?39 ?40)
          =<=
          greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
          [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
6763:  Id :  15, {_}:
          multiply (least_upper_bound ?42 ?43) ?44
          =<=
          least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
          [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
6763:  Id :  16, {_}:
          multiply (greatest_lower_bound ?46 ?47) ?48
          =<=
          greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
          [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
6763: Goal:
6763:  Id :   1, {_}:
          inverse (least_upper_bound a b)
          =<=
          greatest_lower_bound (inverse a) (inverse b)
          [] by prove_p10
% SZS status Timeout for GRP179-1.p
6790: Facts:
6790:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
6790:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
6790:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
6790:  Id :   5, {_}:
          greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10
          [11, 10] by symmetry_of_glb ?10 ?11
6790:  Id :   6, {_}:
          least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13
          [14, 13] by symmetry_of_lub ?13 ?14
6790:  Id :   7, {_}:
          greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
          =?=
          greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
          [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
6790:  Id :   8, {_}:
          least_upper_bound ?20 (least_upper_bound ?21 ?22)
          =?=
          least_upper_bound (least_upper_bound ?20 ?21) ?22
          [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
6790:  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
6790:  Id :  10, {_}:
          greatest_lower_bound ?26 ?26 =>= ?26
          [26] by idempotence_of_gld ?26
6790:  Id :  11, {_}:
          least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
          [29, 28] by lub_absorbtion ?28 ?29
6790:  Id :  12, {_}:
          greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
          [32, 31] by glb_absorbtion ?31 ?32
6790:  Id :  13, {_}:
          multiply ?34 (least_upper_bound ?35 ?36)
          =<=
          least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
          [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
6790:  Id :  14, {_}:
          multiply ?38 (greatest_lower_bound ?39 ?40)
          =<=
          greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
          [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
6790:  Id :  15, {_}:
          multiply (least_upper_bound ?42 ?43) ?44
          =<=
          least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
          [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
6790:  Id :  16, {_}:
          multiply (greatest_lower_bound ?46 ?47) ?48
          =<=
          greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
          [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
6790: Goal:
6790:  Id :   1, {_}:
          least_upper_bound (inverse a) identity
          =>=
          inverse (greatest_lower_bound a identity)
          [] by prove_p18
% SZS status Timeout for GRP179-2.p
6832: Facts:
6832:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
6832:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
6832:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
6832:  Id :   5, {_}:
          greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10
          [11, 10] by symmetry_of_glb ?10 ?11
6832:  Id :   6, {_}:
          least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13
          [14, 13] by symmetry_of_lub ?13 ?14
6832:  Id :   7, {_}:
          greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
          =?=
          greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
          [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
6832:  Id :   8, {_}:
          least_upper_bound ?20 (least_upper_bound ?21 ?22)
          =?=
          least_upper_bound (least_upper_bound ?20 ?21) ?22
          [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
6832:  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
6832:  Id :  10, {_}:
          greatest_lower_bound ?26 ?26 =>= ?26
          [26] by idempotence_of_gld ?26
6832:  Id :  11, {_}:
          least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
          [29, 28] by lub_absorbtion ?28 ?29
6832:  Id :  12, {_}:
          greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
          [32, 31] by glb_absorbtion ?31 ?32
6832:  Id :  13, {_}:
          multiply ?34 (least_upper_bound ?35 ?36)
          =<=
          least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
          [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
6832:  Id :  14, {_}:
          multiply ?38 (greatest_lower_bound ?39 ?40)
          =<=
          greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
          [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
6832:  Id :  15, {_}:
          multiply (least_upper_bound ?42 ?43) ?44
          =<=
          least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
          [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
6832:  Id :  16, {_}:
          multiply (greatest_lower_bound ?46 ?47) ?48
          =<=
          greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
          [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
6832:  Id :  17, {_}: inverse identity =>= identity [] by p18_1
6832:  Id :  18, {_}: inverse (inverse ?51) =>= ?51 [51] by p18_2 ?51
6832:  Id :  19, {_}:
          inverse (multiply ?53 ?54) =<= multiply (inverse ?54) (inverse ?53)
          [54, 53] by p18_3 ?53 ?54
6832: Goal:
6832:  Id :   1, {_}:
          least_upper_bound (inverse a) identity
          =>=
          inverse (greatest_lower_bound a identity)
          [] by prove_p18
% SZS status Timeout for GRP179-3.p
6859: Facts:
6859:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
6859:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
6859:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
6859:  Id :   5, {_}:
          greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10
          [11, 10] by symmetry_of_glb ?10 ?11
6859:  Id :   6, {_}:
          least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13
          [14, 13] by symmetry_of_lub ?13 ?14
6859:  Id :   7, {_}:
          greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
          =?=
          greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
          [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
6859:  Id :   8, {_}:
          least_upper_bound ?20 (least_upper_bound ?21 ?22)
          =?=
          least_upper_bound (least_upper_bound ?20 ?21) ?22
          [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
6859:  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
6859:  Id :  10, {_}:
          greatest_lower_bound ?26 ?26 =>= ?26
          [26] by idempotence_of_gld ?26
6859:  Id :  11, {_}:
          least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
          [29, 28] by lub_absorbtion ?28 ?29
6859:  Id :  12, {_}:
          greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
          [32, 31] by glb_absorbtion ?31 ?32
6859:  Id :  13, {_}:
          multiply ?34 (least_upper_bound ?35 ?36)
          =<=
          least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
          [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
6859:  Id :  14, {_}:
          multiply ?38 (greatest_lower_bound ?39 ?40)
          =<=
          greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
          [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
6859:  Id :  15, {_}:
          multiply (least_upper_bound ?42 ?43) ?44
          =<=
          least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
          [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
6859:  Id :  16, {_}:
          multiply (greatest_lower_bound ?46 ?47) ?48
          =<=
          greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
          [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
6859: Goal:
6859:  Id :   1, {_}:
          multiply a (multiply (inverse (greatest_lower_bound a b)) b)
          =>=
          least_upper_bound a b
          [] by prove_p11
% SZS status Timeout for GRP180-1.p
6897: Facts:
6897:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
6897:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
6897:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
6897:  Id :   5, {_}:
          greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10
          [11, 10] by symmetry_of_glb ?10 ?11
6897:  Id :   6, {_}:
          least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13
          [14, 13] by symmetry_of_lub ?13 ?14
6897:  Id :   7, {_}:
          greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
          =?=
          greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
          [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
6897:  Id :   8, {_}:
          least_upper_bound ?20 (least_upper_bound ?21 ?22)
          =?=
          least_upper_bound (least_upper_bound ?20 ?21) ?22
          [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
6897:  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
6897:  Id :  10, {_}:
          greatest_lower_bound ?26 ?26 =>= ?26
          [26] by idempotence_of_gld ?26
6897:  Id :  11, {_}:
          least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
          [29, 28] by lub_absorbtion ?28 ?29
6897:  Id :  12, {_}:
          greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
          [32, 31] by glb_absorbtion ?31 ?32
6897:  Id :  13, {_}:
          multiply ?34 (least_upper_bound ?35 ?36)
          =<=
          least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
          [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
6897:  Id :  14, {_}:
          multiply ?38 (greatest_lower_bound ?39 ?40)
          =<=
          greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
          [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
6897:  Id :  15, {_}:
          multiply (least_upper_bound ?42 ?43) ?44
          =<=
          least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
          [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
6897:  Id :  16, {_}:
          multiply (greatest_lower_bound ?46 ?47) ?48
          =<=
          greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
          [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
6897:  Id :  17, {_}: inverse identity =>= identity [] by p11_1
6897:  Id :  18, {_}: inverse (inverse ?51) =>= ?51 [51] by p11_2 ?51
6897:  Id :  19, {_}:
          inverse (multiply ?53 ?54) =<= multiply (inverse ?54) (inverse ?53)
          [54, 53] by p11_3 ?53 ?54
6897: Goal:
6897:  Id :   1, {_}:
          multiply a (multiply (inverse (greatest_lower_bound a b)) b)
          =>=
          least_upper_bound a b
          [] by prove_p11
% SZS status Timeout for GRP180-2.p
6924: Facts:
6924:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
6924:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
6924:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
6924:  Id :   5, {_}:
          greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10
          [11, 10] by symmetry_of_glb ?10 ?11
6924:  Id :   6, {_}:
          least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13
          [14, 13] by symmetry_of_lub ?13 ?14
6924:  Id :   7, {_}:
          greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
          =?=
          greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
          [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
6924:  Id :   8, {_}:
          least_upper_bound ?20 (least_upper_bound ?21 ?22)
          =?=
          least_upper_bound (least_upper_bound ?20 ?21) ?22
          [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
6924:  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
6924:  Id :  10, {_}:
          greatest_lower_bound ?26 ?26 =>= ?26
          [26] by idempotence_of_gld ?26
6924:  Id :  11, {_}:
          least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
          [29, 28] by lub_absorbtion ?28 ?29
6924:  Id :  12, {_}:
          greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
          [32, 31] by glb_absorbtion ?31 ?32
6924:  Id :  13, {_}:
          multiply ?34 (least_upper_bound ?35 ?36)
          =<=
          least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
          [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
6924:  Id :  14, {_}:
          multiply ?38 (greatest_lower_bound ?39 ?40)
          =<=
          greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
          [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
6924:  Id :  15, {_}:
          multiply (least_upper_bound ?42 ?43) ?44
          =<=
          least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
          [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
6924:  Id :  16, {_}:
          multiply (greatest_lower_bound ?46 ?47) ?48
          =<=
          greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
          [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
6924:  Id :  17, {_}:
          greatest_lower_bound a c =<= greatest_lower_bound b c
          [] by p12_1
6924:  Id :  18, {_}: least_upper_bound a c =<= least_upper_bound b c [] by p12_2
6924: Goal:
6924:  Id :   1, {_}: a =<= b [] by prove_p12
% SZS status Timeout for GRP181-1.p
8049: Facts:
8049:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
8049:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
8049:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
8049:  Id :   5, {_}:
          greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10
          [11, 10] by symmetry_of_glb ?10 ?11
8049:  Id :   6, {_}:
          least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13
          [14, 13] by symmetry_of_lub ?13 ?14
8049:  Id :   7, {_}:
          greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
          =?=
          greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
          [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
8049:  Id :   8, {_}:
          least_upper_bound ?20 (least_upper_bound ?21 ?22)
          =?=
          least_upper_bound (least_upper_bound ?20 ?21) ?22
          [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
8049:  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
8049:  Id :  10, {_}:
          greatest_lower_bound ?26 ?26 =>= ?26
          [26] by idempotence_of_gld ?26
8049:  Id :  11, {_}:
          least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
          [29, 28] by lub_absorbtion ?28 ?29
8049:  Id :  12, {_}:
          greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
          [32, 31] by glb_absorbtion ?31 ?32
8049:  Id :  13, {_}:
          multiply ?34 (least_upper_bound ?35 ?36)
          =<=
          least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
          [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
8049:  Id :  14, {_}:
          multiply ?38 (greatest_lower_bound ?39 ?40)
          =<=
          greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
          [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
8049:  Id :  15, {_}:
          multiply (least_upper_bound ?42 ?43) ?44
          =<=
          least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
          [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
8049:  Id :  16, {_}:
          multiply (greatest_lower_bound ?46 ?47) ?48
          =<=
          greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
          [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
8049:  Id :  17, {_}: inverse identity =>= identity [] by p12_1
8049:  Id :  18, {_}: inverse (inverse ?51) =>= ?51 [51] by p12_2 ?51
8049:  Id :  19, {_}:
          inverse (multiply ?53 ?54) =<= multiply (inverse ?54) (inverse ?53)
          [54, 53] by p12_3 ?53 ?54
8049:  Id :  20, {_}:
          greatest_lower_bound a c =<= greatest_lower_bound b c
          [] by p12_4
8049:  Id :  21, {_}: least_upper_bound a c =<= least_upper_bound b c [] by p12_5
8049: Goal:
8049:  Id :   1, {_}: a =<= b [] by prove_p12
% SZS status Timeout for GRP181-2.p
8077: Facts:
8077:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
8077:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
8077:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
8077:  Id :   5, {_}:
          greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10
          [11, 10] by symmetry_of_glb ?10 ?11
8077:  Id :   6, {_}:
          least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13
          [14, 13] by symmetry_of_lub ?13 ?14
8077:  Id :   7, {_}:
          greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
          =?=
          greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
          [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
8077:  Id :   8, {_}:
          least_upper_bound ?20 (least_upper_bound ?21 ?22)
          =?=
          least_upper_bound (least_upper_bound ?20 ?21) ?22
          [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
8077:  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
8077:  Id :  10, {_}:
          greatest_lower_bound ?26 ?26 =>= ?26
          [26] by idempotence_of_gld ?26
8077:  Id :  11, {_}:
          least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
          [29, 28] by lub_absorbtion ?28 ?29
8077:  Id :  12, {_}:
          greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
          [32, 31] by glb_absorbtion ?31 ?32
8077:  Id :  13, {_}:
          multiply ?34 (least_upper_bound ?35 ?36)
          =<=
          least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
          [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
8077:  Id :  14, {_}:
          multiply ?38 (greatest_lower_bound ?39 ?40)
          =<=
          greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
          [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
8077:  Id :  15, {_}:
          multiply (least_upper_bound ?42 ?43) ?44
          =<=
          least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
          [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
8077:  Id :  16, {_}:
          multiply (greatest_lower_bound ?46 ?47) ?48
          =<=
          greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
          [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
8077:  Id :  17, {_}:
          greatest_lower_bound a c =<= greatest_lower_bound b c
          [] by p12x_1
8077:  Id :  18, {_}: least_upper_bound a c =<= least_upper_bound b c [] by p12x_2
8077:  Id :  19, {_}:
          inverse (greatest_lower_bound ?52 ?53)
          =<=
          least_upper_bound (inverse ?52) (inverse ?53)
          [53, 52] by p12x_3 ?52 ?53
8077:  Id :  20, {_}:
          inverse (least_upper_bound ?55 ?56)
          =<=
          greatest_lower_bound (inverse ?55) (inverse ?56)
          [56, 55] by p12x_4 ?55 ?56
8077: Goal:
8077:  Id :   1, {_}: a =<= b [] by prove_p12x
Statistics :
Max weight : 16
Found proof, 73.294727s
% SZS status Unsatisfiable for GRP181-3.p
% SZS output start CNFRefutation for GRP181-3.p
Id :  18, {_}: least_upper_bound a c =<= least_upper_bound b c [] by p12x_2
Id :  17, {_}: greatest_lower_bound a c =<= greatest_lower_bound b c [] by p12x_1
Id :   5, {_}: greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10 [11, 10] by symmetry_of_glb ?10 ?11
Id : 154, {_}: multiply ?474 (greatest_lower_bound ?475 ?476) =<= greatest_lower_bound (multiply ?474 ?475) (multiply ?474 ?476) [476, 475, 474] by monotony_glb1 ?474 ?475 ?476
Id :  19, {_}: inverse (greatest_lower_bound ?52 ?53) =<= least_upper_bound (inverse ?52) (inverse ?53) [53, 52] by p12x_3 ?52 ?53
Id :   6, {_}: least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13 [14, 13] by symmetry_of_lub ?13 ?14
Id : 129, {_}: multiply ?411 (least_upper_bound ?412 ?413) =<= least_upper_bound (multiply ?411 ?412) (multiply ?411 ?413) [413, 412, 411] by monotony_lub1 ?411 ?412 ?413
Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
Id :  25, {_}: multiply (multiply ?65 ?66) ?67 =?= multiply ?65 (multiply ?66 ?67) [67, 66, 65] by associativity ?65 ?66 ?67
Id :  33, {_}: multiply identity ?97 =<= multiply (inverse ?98) (multiply ?98 ?97) [98, 97] by Super 25 with 3 at 1,2
Id :  39, {_}: ?97 =<= multiply (inverse ?98) (multiply ?98 ?97) [98, 97] by Demod 33 with 2 at 2
Id :  27, {_}: multiply (multiply ?72 (inverse ?73)) ?73 =>= multiply ?72 identity [73, 72] by Super 25 with 3 at 2,3
Id : 597, {_}: multiply (multiply ?1157 (inverse ?1158)) ?1158 =>= multiply ?1157 identity [1158, 1157] by Super 25 with 3 at 2,3
Id : 599, {_}: multiply identity ?1162 =<= multiply (inverse (inverse ?1162)) identity [1162] by Super 597 with 3 at 1,2
Id : 612, {_}: ?1162 =<= multiply (inverse (inverse ?1162)) identity [1162] by Demod 599 with 2 at 2
Id :  26, {_}: multiply (multiply ?69 identity) ?70 =>= multiply ?69 ?70 [70, 69] by Super 25 with 2 at 2,3
Id : 641, {_}: multiply ?1224 ?1225 =<= multiply (inverse (inverse ?1224)) ?1225 [1225, 1224] by Super 26 with 612 at 1,2
Id : 645, {_}: ?1162 =<= multiply ?1162 identity [1162] by Demod 612 with 641 at 3
Id : 647, {_}: multiply (multiply ?72 (inverse ?73)) ?73 =>= ?72 [73, 72] by Demod 27 with 645 at 3
Id : 131, {_}: multiply (inverse ?418) (least_upper_bound ?419 ?418) =>= least_upper_bound (multiply (inverse ?418) ?419) identity [419, 418] by Super 129 with 3 at 2,3
Id : 16499, {_}: multiply (inverse ?18258) (least_upper_bound ?18259 ?18258) =>= least_upper_bound identity (multiply (inverse ?18258) ?18259) [18259, 18258] by Demod 131 with 6 at 3
Id : 660, {_}: inverse (inverse ?1276) =<= multiply ?1276 identity [1276] by Super 645 with 641 at 3
Id : 665, {_}: inverse (inverse ?1276) =>= ?1276 [1276] by Demod 660 with 645 at 3
Id : 688, {_}: multiply ?1294 (inverse ?1294) =>= identity [1294] by Super 3 with 665 at 1,2
Id : 700, {_}: identity =<= inverse identity [] by Super 2 with 688 at 2
Id : 732, {_}: inverse (greatest_lower_bound identity ?1366) =<= least_upper_bound identity (inverse ?1366) [1366] by Super 19 with 700 at 1,3
Id : 16549, {_}: multiply (inverse (inverse ?18373)) (inverse (greatest_lower_bound identity ?18373)) =>= least_upper_bound identity (multiply (inverse (inverse ?18373)) identity) [18373] by Super 16499 with 732 at 2,2
Id : 16652, {_}: multiply ?18373 (inverse (greatest_lower_bound identity ?18373)) =?= least_upper_bound identity (multiply (inverse (inverse ?18373)) identity) [18373] by Demod 16549 with 665 at 1,2
Id : 16653, {_}: multiply ?18373 (inverse (greatest_lower_bound identity ?18373)) =>= least_upper_bound identity (inverse (inverse ?18373)) [18373] by Demod 16652 with 645 at 2,3
Id : 16654, {_}: multiply ?18373 (inverse (greatest_lower_bound identity ?18373)) =>= inverse (greatest_lower_bound identity (inverse ?18373)) [18373] by Demod 16653 with 732 at 3
Id : 689, {_}: inverse (greatest_lower_bound ?1296 (inverse ?1297)) =>= least_upper_bound (inverse ?1296) ?1297 [1297, 1296] by Super 19 with 665 at 2,3
Id : 16655, {_}: multiply ?18373 (inverse (greatest_lower_bound identity ?18373)) =>= least_upper_bound (inverse identity) ?18373 [18373] by Demod 16654 with 689 at 3
Id : 16656, {_}: multiply ?18373 (inverse (greatest_lower_bound identity ?18373)) =>= least_upper_bound identity ?18373 [18373] by Demod 16655 with 700 at 1,3
Id : 44808, {_}: multiply (least_upper_bound identity ?46675) (greatest_lower_bound identity ?46675) =>= ?46675 [46675] by Super 647 with 16656 at 1,2
Id : 156, {_}: multiply (inverse ?481) (greatest_lower_bound ?482 ?481) =>= greatest_lower_bound (multiply (inverse ?481) ?482) identity [482, 481] by Super 154 with 3 at 2,3
Id : 17453, {_}: multiply (inverse ?19423) (greatest_lower_bound ?19424 ?19423) =>= greatest_lower_bound identity (multiply (inverse ?19423) ?19424) [19424, 19423] by Demod 156 with 5 at 3
Id : 17495, {_}: multiply (inverse c) (greatest_lower_bound a c) =>= greatest_lower_bound identity (multiply (inverse c) b) [] by Super 17453 with 17 at 2,2
Id : 172, {_}: multiply (inverse ?481) (greatest_lower_bound ?482 ?481) =>= greatest_lower_bound identity (multiply (inverse ?481) ?482) [482, 481] by Demod 156 with 5 at 3
Id : 17585, {_}: greatest_lower_bound identity (multiply (inverse c) a) =<= greatest_lower_bound identity (multiply (inverse c) b) [] by Demod 17495 with 172 at 2
Id : 44834, {_}: multiply (least_upper_bound identity (multiply (inverse c) b)) (greatest_lower_bound identity (multiply (inverse c) a)) =>= multiply (inverse c) b [] by Super 44808 with 17585 at 2,2
Id : 16543, {_}: multiply (inverse c) (least_upper_bound a c) =>= least_upper_bound identity (multiply (inverse c) b) [] by Super 16499 with 18 at 2,2
Id : 145, {_}: multiply (inverse ?418) (least_upper_bound ?419 ?418) =>= least_upper_bound identity (multiply (inverse ?418) ?419) [419, 418] by Demod 131 with 6 at 3
Id : 16641, {_}: least_upper_bound identity (multiply (inverse c) a) =<= least_upper_bound identity (multiply (inverse c) b) [] by Demod 16543 with 145 at 2
Id : 44932, {_}: multiply (least_upper_bound identity (multiply (inverse c) a)) (greatest_lower_bound identity (multiply (inverse c) a)) =>= multiply (inverse c) b [] by Demod 44834 with 16641 at 1,2
Id : 16798, {_}: multiply (least_upper_bound identity ?18607) (greatest_lower_bound identity ?18607) =>= ?18607 [18607] by Super 647 with 16656 at 1,2
Id : 44933, {_}: multiply (inverse c) a =<= multiply (inverse c) b [] by Demod 44932 with 16798 at 2
Id : 44989, {_}: b =<= multiply (inverse (inverse c)) (multiply (inverse c) a) [] by Super 39 with 44933 at 2,3
Id : 45031, {_}: b =>= a [] by Demod 44989 with 39 at 3
Id : 45241, {_}: a === a [] by Demod 1 with 45031 at 3
Id :   1, {_}: a =<= b [] by prove_p12x
% SZS output end CNFRefutation for GRP181-3.p
8077: solved GRP181-3.p in 17.009062 using nrkbo
!! infer_left                                     355    0.0006    0.0000    0.0000
!! infer_right                                    356   48.8324    3.1205    0.1372
!! simplify_goal                                  356    0.0055    0.0002    0.0000
!! keep_simplified                                678   23.2088    3.6313    0.0342
!! simplification_step                            871   23.2019    0.4797    0.0266
!! simplify                                     81574   62.3251    0.7084    0.0008
!! orphan_murder                                  795    0.4493    0.4002    0.0006
!! is_subsumed                                  74880    4.4267    0.7082    0.0001
!! build_new_clause                             18657    1.1618    0.3067    0.0001
!! demodulate                                   80906   57.3130    0.4673    0.0007
!! demod                                       689413   49.8881    0.4082    0.0001
!! demod.apply_subst                           626198    6.4939    0.4001    0.0000
!! demod.compare_terms                         295724   12.3310    0.4081    0.0000
!! demod.retrieve_generalizations              689413   14.1089    0.4041    0.0000
!! demod.unify                                 556016    4.8310    0.4001    0.0000
!! build_clause                                 46822    1.7727    0.4001    0.0000
!! compare_terms(nrkbo)                        352560   11.2445    0.4081    0.0000
!! compare_terms(nrkbo)                            20    0.0002    0.0000    0.0000
8115: Facts:
8115:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
8115:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
8115:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
8115:  Id :   5, {_}:
          greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10
          [11, 10] by symmetry_of_glb ?10 ?11
8115:  Id :   6, {_}:
          least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13
          [14, 13] by symmetry_of_lub ?13 ?14
8115:  Id :   7, {_}:
          greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
          =?=
          greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
          [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
8115:  Id :   8, {_}:
          least_upper_bound ?20 (least_upper_bound ?21 ?22)
          =?=
          least_upper_bound (least_upper_bound ?20 ?21) ?22
          [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
8115:  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
8115:  Id :  10, {_}:
          greatest_lower_bound ?26 ?26 =>= ?26
          [26] by idempotence_of_gld ?26
8115:  Id :  11, {_}:
          least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
          [29, 28] by lub_absorbtion ?28 ?29
8115:  Id :  12, {_}:
          greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
          [32, 31] by glb_absorbtion ?31 ?32
8115:  Id :  13, {_}:
          multiply ?34 (least_upper_bound ?35 ?36)
          =<=
          least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
          [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
8115:  Id :  14, {_}:
          multiply ?38 (greatest_lower_bound ?39 ?40)
          =<=
          greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
          [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
8115:  Id :  15, {_}:
          multiply (least_upper_bound ?42 ?43) ?44
          =<=
          least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
          [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
8115:  Id :  16, {_}:
          multiply (greatest_lower_bound ?46 ?47) ?48
          =<=
          greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
          [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
8115:  Id :  17, {_}: inverse identity =>= identity [] by p12x_1
8115:  Id :  18, {_}: inverse (inverse ?51) =>= ?51 [51] by p12x_2 ?51
8115:  Id :  19, {_}:
          inverse (multiply ?53 ?54) =<= multiply (inverse ?54) (inverse ?53)
          [54, 53] by p12x_3 ?53 ?54
8115:  Id :  20, {_}:
          greatest_lower_bound a c =<= greatest_lower_bound b c
          [] by p12x_4
8115:  Id :  21, {_}: least_upper_bound a c =<= least_upper_bound b c [] by p12x_5
8115:  Id :  22, {_}:
          inverse (greatest_lower_bound ?58 ?59)
          =<=
          least_upper_bound (inverse ?58) (inverse ?59)
          [59, 58] by p12x_6 ?58 ?59
8115:  Id :  23, {_}:
          inverse (least_upper_bound ?61 ?62)
          =<=
          greatest_lower_bound (inverse ?61) (inverse ?62)
          [62, 61] by p12x_7 ?61 ?62
8115: Goal:
8115:  Id :   1, {_}: a =<= b [] by prove_p12x
Statistics :
Max weight : 17
Found proof, 79.374314s
% SZS status Unsatisfiable for GRP181-4.p
% SZS output start CNFRefutation for GRP181-4.p
Id :  21, {_}: least_upper_bound a c =<= least_upper_bound b c [] by p12x_5
Id :  20, {_}: greatest_lower_bound a c =<= greatest_lower_bound b c [] by p12x_4
Id :   5, {_}: greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10 [11, 10] by symmetry_of_glb ?10 ?11
Id : 157, {_}: multiply ?480 (greatest_lower_bound ?481 ?482) =<= greatest_lower_bound (multiply ?480 ?481) (multiply ?480 ?482) [482, 481, 480] by monotony_glb1 ?480 ?481 ?482
Id :  19, {_}: inverse (multiply ?53 ?54) =<= multiply (inverse ?54) (inverse ?53) [54, 53] by p12x_3 ?53 ?54
Id : 295, {_}: inverse (greatest_lower_bound ?769 ?770) =<= least_upper_bound (inverse ?769) (inverse ?770) [770, 769] by p12x_6 ?769 ?770
Id :   6, {_}: least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13 [14, 13] by symmetry_of_lub ?13 ?14
Id : 132, {_}: multiply ?417 (least_upper_bound ?418 ?419) =<= least_upper_bound (multiply ?417 ?418) (multiply ?417 ?419) [419, 418, 417] by monotony_lub1 ?417 ?418 ?419
Id :  17, {_}: inverse identity =>= identity [] by p12x_1
Id : 257, {_}: inverse (multiply ?719 ?720) =<= multiply (inverse ?720) (inverse ?719) [720, 719] by p12x_3 ?719 ?720
Id :  28, {_}: multiply (multiply ?71 ?72) ?73 =?= multiply ?71 (multiply ?72 ?73) [73, 72, 71] by associativity ?71 ?72 ?73
Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
Id :  18, {_}: inverse (inverse ?51) =>= ?51 [51] by p12x_2 ?51
Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
Id :   4, {_}: multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8) [8, 7, 6] by associativity ?6 ?7 ?8
Id : 240, {_}: multiply ?668 (inverse ?668) =>= identity [668] by Super 3 with 18 at 1,2
Id : 549, {_}: multiply identity ?1105 =<= multiply ?1106 (multiply (inverse ?1106) ?1105) [1106, 1105] by Super 4 with 240 at 1,2
Id : 574, {_}: ?1105 =<= multiply ?1106 (multiply (inverse ?1106) ?1105) [1106, 1105] by Demod 549 with 2 at 2
Id :  30, {_}: multiply (multiply ?78 (inverse ?79)) ?79 =>= multiply ?78 identity [79, 78] by Super 28 with 3 at 2,3
Id : 258, {_}: inverse (multiply identity ?722) =<= multiply (inverse ?722) identity [722] by Super 257 with 17 at 2,3
Id : 341, {_}: inverse ?858 =<= multiply (inverse ?858) identity [858] by Demod 258 with 2 at 1,2
Id : 343, {_}: inverse (inverse ?861) =<= multiply ?861 identity [861] by Super 341 with 18 at 1,3
Id : 354, {_}: ?861 =<= multiply ?861 identity [861] by Demod 343 with 18 at 2
Id : 13771, {_}: multiply (multiply ?78 (inverse ?79)) ?79 =>= ?78 [79, 78] by Demod 30 with 354 at 3
Id : 134, {_}: multiply (inverse ?424) (least_upper_bound ?425 ?424) =>= least_upper_bound (multiply (inverse ?424) ?425) identity [425, 424] by Super 132 with 3 at 2,3
Id : 14350, {_}: multiply (inverse ?12073) (least_upper_bound ?12074 ?12073) =>= least_upper_bound identity (multiply (inverse ?12073) ?12074) [12074, 12073] by Demod 134 with 6 at 3
Id : 298, {_}: inverse (greatest_lower_bound identity ?777) =<= least_upper_bound identity (inverse ?777) [777] by Super 295 with 17 at 1,3
Id : 14395, {_}: multiply (inverse (inverse ?12177)) (inverse (greatest_lower_bound identity ?12177)) =>= least_upper_bound identity (multiply (inverse (inverse ?12177)) identity) [12177] by Super 14350 with 298 at 2,2
Id : 14492, {_}: inverse (multiply (greatest_lower_bound identity ?12177) (inverse ?12177)) =?= least_upper_bound identity (multiply (inverse (inverse ?12177)) identity) [12177] by Demod 14395 with 19 at 2
Id : 14493, {_}: inverse (multiply (greatest_lower_bound identity ?12177) (inverse ?12177)) =>= least_upper_bound identity (inverse (inverse ?12177)) [12177] by Demod 14492 with 354 at 2,3
Id : 261, {_}: inverse (multiply ?729 (inverse ?730)) =>= multiply ?730 (inverse ?729) [730, 729] by Super 257 with 18 at 1,3
Id : 14494, {_}: multiply ?12177 (inverse (greatest_lower_bound identity ?12177)) =>= least_upper_bound identity (inverse (inverse ?12177)) [12177] by Demod 14493 with 261 at 2
Id : 14495, {_}: multiply ?12177 (inverse (greatest_lower_bound identity ?12177)) =>= inverse (greatest_lower_bound identity (inverse ?12177)) [12177] by Demod 14494 with 298 at 3
Id : 297, {_}: inverse (greatest_lower_bound ?774 (inverse ?775)) =>= least_upper_bound (inverse ?774) ?775 [775, 774] by Super 295 with 18 at 2,3
Id : 14496, {_}: multiply ?12177 (inverse (greatest_lower_bound identity ?12177)) =>= least_upper_bound (inverse identity) ?12177 [12177] by Demod 14495 with 297 at 3
Id : 14497, {_}: multiply ?12177 (inverse (greatest_lower_bound identity ?12177)) =>= least_upper_bound identity ?12177 [12177] by Demod 14496 with 17 at 1,3
Id : 52535, {_}: multiply (least_upper_bound identity ?40099) (greatest_lower_bound identity ?40099) =>= ?40099 [40099] by Super 13771 with 14497 at 1,2
Id : 159, {_}: multiply (inverse ?487) (greatest_lower_bound ?488 ?487) =>= greatest_lower_bound (multiply (inverse ?487) ?488) identity [488, 487] by Super 157 with 3 at 2,3
Id : 15858, {_}: multiply (inverse ?13310) (greatest_lower_bound ?13311 ?13310) =>= greatest_lower_bound identity (multiply (inverse ?13310) ?13311) [13311, 13310] by Demod 159 with 5 at 3
Id : 15899, {_}: multiply (inverse c) (greatest_lower_bound a c) =>= greatest_lower_bound identity (multiply (inverse c) b) [] by Super 15858 with 20 at 2,2
Id : 175, {_}: multiply (inverse ?487) (greatest_lower_bound ?488 ?487) =>= greatest_lower_bound identity (multiply (inverse ?487) ?488) [488, 487] by Demod 159 with 5 at 3
Id : 15993, {_}: greatest_lower_bound identity (multiply (inverse c) a) =<= greatest_lower_bound identity (multiply (inverse c) b) [] by Demod 15899 with 175 at 2
Id : 52561, {_}: multiply (least_upper_bound identity (multiply (inverse c) b)) (greatest_lower_bound identity (multiply (inverse c) a)) =>= multiply (inverse c) b [] by Super 52535 with 15993 at 2,2
Id : 14391, {_}: multiply (inverse c) (least_upper_bound a c) =>= least_upper_bound identity (multiply (inverse c) b) [] by Super 14350 with 21 at 2,2
Id : 148, {_}: multiply (inverse ?424) (least_upper_bound ?425 ?424) =>= least_upper_bound identity (multiply (inverse ?424) ?425) [425, 424] by Demod 134 with 6 at 3
Id : 14483, {_}: least_upper_bound identity (multiply (inverse c) a) =<= least_upper_bound identity (multiply (inverse c) b) [] by Demod 14391 with 148 at 2
Id : 52664, {_}: multiply (least_upper_bound identity (multiply (inverse c) a)) (greatest_lower_bound identity (multiply (inverse c) a)) =>= multiply (inverse c) b [] by Demod 52561 with 14483 at 1,2
Id : 14657, {_}: multiply (least_upper_bound identity ?12375) (greatest_lower_bound identity ?12375) =>= ?12375 [12375] by Super 13771 with 14497 at 1,2
Id : 52665, {_}: multiply (inverse c) a =<= multiply (inverse c) b [] by Demod 52664 with 14657 at 2
Id : 52756, {_}: b =<= multiply c (multiply (inverse c) a) [] by Super 574 with 52665 at 2,3
Id : 52761, {_}: b =>= a [] by Demod 52756 with 574 at 3
Id : 53106, {_}: a === a [] by Demod 1 with 52761 at 3
Id :   1, {_}: a =<= b [] by prove_p12x
% SZS output end CNFRefutation for GRP181-4.p
8118: solved GRP181-4.p in 18.585161 using nrkbo
!! infer_left                                     415    0.0006    0.0000    0.0000
!! infer_right                                    437   47.5832    0.9614    0.1089
!! simplify_goal                                  416    0.0064    0.0002    0.0000
!! keep_simplified                                801   30.9236    5.0070    0.0386
!! simplification_step                           1079   30.9165    0.4439    0.0287
!! simplify                                    116179   57.3217    0.4094    0.0005
!! orphan_murder                                  870    0.3639    0.3002    0.0004
!! is_subsumed                                 107530    4.5100    0.4093    0.0000
!! build_new_clause                             19683    3.1234    0.4008    0.0002
!! demodulate                                  115340   51.3172    0.4086    0.0004
!! demod                                      1013846   41.4354    0.4014    0.0000
!! demod.apply_subst                           490152    2.4465    0.4001    0.0000
!! demod.compare_terms                         220304    5.7869    0.4001    0.0000
!! demod.retrieve_generalizations             1013846   16.6302    0.4003    0.0000
!! demod.unify                                 507848    5.3583    0.4013    0.0000
!! build_clause                                 54458    4.6844    0.4080    0.0001
!! compare_terms(nrkbo)                        280408    6.8254    0.4008    0.0000
!! compare_terms(nrkbo)                            23    0.0018    0.0016    0.0001
8146: Facts:
8146:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
8146:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
8146:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
8146:  Id :   5, {_}:
          greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10
          [11, 10] by symmetry_of_glb ?10 ?11
8146:  Id :   6, {_}:
          least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13
          [14, 13] by symmetry_of_lub ?13 ?14
8146:  Id :   7, {_}:
          greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
          =?=
          greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
          [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
8146:  Id :   8, {_}:
          least_upper_bound ?20 (least_upper_bound ?21 ?22)
          =?=
          least_upper_bound (least_upper_bound ?20 ?21) ?22
          [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
8146:  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
8146:  Id :  10, {_}:
          greatest_lower_bound ?26 ?26 =>= ?26
          [26] by idempotence_of_gld ?26
8146:  Id :  11, {_}:
          least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
          [29, 28] by lub_absorbtion ?28 ?29
8146:  Id :  12, {_}:
          greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
          [32, 31] by glb_absorbtion ?31 ?32
8146:  Id :  13, {_}:
          multiply ?34 (least_upper_bound ?35 ?36)
          =<=
          least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
          [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
8146:  Id :  14, {_}:
          multiply ?38 (greatest_lower_bound ?39 ?40)
          =<=
          greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
          [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
8146:  Id :  15, {_}:
          multiply (least_upper_bound ?42 ?43) ?44
          =<=
          least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
          [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
8146:  Id :  16, {_}:
          multiply (greatest_lower_bound ?46 ?47) ?48
          =<=
          greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
          [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
8146: Goal:
8146:  Id :   1, {_}:
          greatest_lower_bound (least_upper_bound a identity)
            (inverse (greatest_lower_bound a identity))
          =>=
          identity
          [] by prove_p20
% SZS status Timeout for GRP183-1.p
8184: Facts:
8184:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
8184:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
8184:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
8184:  Id :   5, {_}:
          greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10
          [11, 10] by symmetry_of_glb ?10 ?11
8184:  Id :   6, {_}:
          least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13
          [14, 13] by symmetry_of_lub ?13 ?14
8184:  Id :   7, {_}:
          greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
          =?=
          greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
          [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
8184:  Id :   8, {_}:
          least_upper_bound ?20 (least_upper_bound ?21 ?22)
          =?=
          least_upper_bound (least_upper_bound ?20 ?21) ?22
          [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
8184:  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
8184:  Id :  10, {_}:
          greatest_lower_bound ?26 ?26 =>= ?26
          [26] by idempotence_of_gld ?26
8184:  Id :  11, {_}:
          least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
          [29, 28] by lub_absorbtion ?28 ?29
8184:  Id :  12, {_}:
          greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
          [32, 31] by glb_absorbtion ?31 ?32
8184:  Id :  13, {_}:
          multiply ?34 (least_upper_bound ?35 ?36)
          =<=
          least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
          [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
8184:  Id :  14, {_}:
          multiply ?38 (greatest_lower_bound ?39 ?40)
          =<=
          greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
          [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
8184:  Id :  15, {_}:
          multiply (least_upper_bound ?42 ?43) ?44
          =<=
          least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
          [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
8184:  Id :  16, {_}:
          multiply (greatest_lower_bound ?46 ?47) ?48
          =<=
          greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
          [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
8184:  Id :  17, {_}: inverse identity =>= identity [] by p20_1
8184:  Id :  18, {_}: inverse (inverse ?51) =>= ?51 [51] by p20_2 ?51
8184:  Id :  19, {_}:
          inverse (multiply ?53 ?54) =<= multiply (inverse ?54) (inverse ?53)
          [54, 53] by p20_3 ?53 ?54
8184: Goal:
8184:  Id :   1, {_}:
          greatest_lower_bound (least_upper_bound a identity)
            (inverse (greatest_lower_bound a identity))
          =>=
          identity
          [] by prove_p20
% SZS status Timeout for GRP183-2.p
8211: Facts:
8211:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
8211:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
8211:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
8211:  Id :   5, {_}:
          greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10
          [11, 10] by symmetry_of_glb ?10 ?11
8211:  Id :   6, {_}:
          least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13
          [14, 13] by symmetry_of_lub ?13 ?14
8211:  Id :   7, {_}:
          greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
          =?=
          greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
          [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
8211:  Id :   8, {_}:
          least_upper_bound ?20 (least_upper_bound ?21 ?22)
          =?=
          least_upper_bound (least_upper_bound ?20 ?21) ?22
          [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
8211:  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
8211:  Id :  10, {_}:
          greatest_lower_bound ?26 ?26 =>= ?26
          [26] by idempotence_of_gld ?26
8211:  Id :  11, {_}:
          least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
          [29, 28] by lub_absorbtion ?28 ?29
8211:  Id :  12, {_}:
          greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
          [32, 31] by glb_absorbtion ?31 ?32
8211:  Id :  13, {_}:
          multiply ?34 (least_upper_bound ?35 ?36)
          =<=
          least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
          [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
8211:  Id :  14, {_}:
          multiply ?38 (greatest_lower_bound ?39 ?40)
          =<=
          greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
          [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
8211:  Id :  15, {_}:
          multiply (least_upper_bound ?42 ?43) ?44
          =<=
          least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
          [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
8211:  Id :  16, {_}:
          multiply (greatest_lower_bound ?46 ?47) ?48
          =<=
          greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
          [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
8211: Goal:
8211:  Id :   1, {_}:
          greatest_lower_bound (least_upper_bound a identity)
            (least_upper_bound (inverse a) identity)
          =>=
          identity
          [] by prove_20x
% SZS status Timeout for GRP183-3.p
8255: Facts:
8255:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
8255:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
8255:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
8255:  Id :   5, {_}:
          greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10
          [11, 10] by symmetry_of_glb ?10 ?11
8255:  Id :   6, {_}:
          least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13
          [14, 13] by symmetry_of_lub ?13 ?14
8255:  Id :   7, {_}:
          greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
          =?=
          greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
          [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
8255:  Id :   8, {_}:
          least_upper_bound ?20 (least_upper_bound ?21 ?22)
          =?=
          least_upper_bound (least_upper_bound ?20 ?21) ?22
          [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
8255:  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
8255:  Id :  10, {_}:
          greatest_lower_bound ?26 ?26 =>= ?26
          [26] by idempotence_of_gld ?26
8255:  Id :  11, {_}:
          least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
          [29, 28] by lub_absorbtion ?28 ?29
8255:  Id :  12, {_}:
          greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
          [32, 31] by glb_absorbtion ?31 ?32
8255:  Id :  13, {_}:
          multiply ?34 (least_upper_bound ?35 ?36)
          =<=
          least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
          [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
8255:  Id :  14, {_}:
          multiply ?38 (greatest_lower_bound ?39 ?40)
          =<=
          greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
          [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
8255:  Id :  15, {_}:
          multiply (least_upper_bound ?42 ?43) ?44
          =<=
          least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
          [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
8255:  Id :  16, {_}:
          multiply (greatest_lower_bound ?46 ?47) ?48
          =<=
          greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
          [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
8255:  Id :  17, {_}: inverse identity =>= identity [] by p20x_1
8255:  Id :  18, {_}: inverse (inverse ?51) =>= ?51 [51] by p20x_1 ?51
8255:  Id :  19, {_}:
          inverse (multiply ?53 ?54) =<= multiply (inverse ?54) (inverse ?53)
          [54, 53] by p20x_3 ?53 ?54
8255: Goal:
8255:  Id :   1, {_}:
          greatest_lower_bound (least_upper_bound a identity)
            (least_upper_bound (inverse a) identity)
          =>=
          identity
          [] by prove_20x
% SZS status Timeout for GRP183-4.p
8302: Facts:
8302:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
8302:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
8302:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
8302:  Id :   5, {_}:
          greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10
          [11, 10] by symmetry_of_glb ?10 ?11
8302:  Id :   6, {_}:
          least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13
          [14, 13] by symmetry_of_lub ?13 ?14
8302:  Id :   7, {_}:
          greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
          =?=
          greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
          [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
8302:  Id :   8, {_}:
          least_upper_bound ?20 (least_upper_bound ?21 ?22)
          =?=
          least_upper_bound (least_upper_bound ?20 ?21) ?22
          [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
8302:  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
8302:  Id :  10, {_}:
          greatest_lower_bound ?26 ?26 =>= ?26
          [26] by idempotence_of_gld ?26
8302:  Id :  11, {_}:
          least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
          [29, 28] by lub_absorbtion ?28 ?29
8302:  Id :  12, {_}:
          greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
          [32, 31] by glb_absorbtion ?31 ?32
8302:  Id :  13, {_}:
          multiply ?34 (least_upper_bound ?35 ?36)
          =<=
          least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
          [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
8302:  Id :  14, {_}:
          multiply ?38 (greatest_lower_bound ?39 ?40)
          =<=
          greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
          [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
8302:  Id :  15, {_}:
          multiply (least_upper_bound ?42 ?43) ?44
          =<=
          least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
          [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
8302:  Id :  16, {_}:
          multiply (greatest_lower_bound ?46 ?47) ?48
          =<=
          greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
          [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
8302: Goal:
8302:  Id :   1, {_}:
          multiply (least_upper_bound a identity)
            (inverse (greatest_lower_bound a identity))
          =>=
          multiply (inverse (greatest_lower_bound a identity))
            (least_upper_bound a identity)
          [] by prove_p21
% SZS status Timeout for GRP184-1.p
8349: Facts:
8349:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
8349:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
8349:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
8349:  Id :   5, {_}:
          greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10
          [11, 10] by symmetry_of_glb ?10 ?11
8349:  Id :   6, {_}:
          least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13
          [14, 13] by symmetry_of_lub ?13 ?14
8349:  Id :   7, {_}:
          greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
          =?=
          greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
          [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
8349:  Id :   8, {_}:
          least_upper_bound ?20 (least_upper_bound ?21 ?22)
          =?=
          least_upper_bound (least_upper_bound ?20 ?21) ?22
          [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
8349:  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
8349:  Id :  10, {_}:
          greatest_lower_bound ?26 ?26 =>= ?26
          [26] by idempotence_of_gld ?26
8349:  Id :  11, {_}:
          least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
          [29, 28] by lub_absorbtion ?28 ?29
8349:  Id :  12, {_}:
          greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
          [32, 31] by glb_absorbtion ?31 ?32
8349:  Id :  13, {_}:
          multiply ?34 (least_upper_bound ?35 ?36)
          =<=
          least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
          [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
8349:  Id :  14, {_}:
          multiply ?38 (greatest_lower_bound ?39 ?40)
          =<=
          greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
          [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
8349:  Id :  15, {_}:
          multiply (least_upper_bound ?42 ?43) ?44
          =<=
          least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
          [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
8349:  Id :  16, {_}:
          multiply (greatest_lower_bound ?46 ?47) ?48
          =<=
          greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
          [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
8349:  Id :  17, {_}: inverse identity =>= identity [] by p21_1
8349:  Id :  18, {_}: inverse (inverse ?51) =>= ?51 [51] by p21_2 ?51
8349:  Id :  19, {_}:
          inverse (multiply ?53 ?54) =<= multiply (inverse ?54) (inverse ?53)
          [54, 53] by p21_3 ?53 ?54
8349: Goal:
8349:  Id :   1, {_}:
          multiply (least_upper_bound a identity)
            (inverse (greatest_lower_bound a identity))
          =>=
          multiply (inverse (greatest_lower_bound a identity))
            (least_upper_bound a identity)
          [] by prove_p21
% SZS status Timeout for GRP184-2.p
8376: Facts:
8376:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
8376:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
8376:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
8376:  Id :   5, {_}:
          greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10
          [11, 10] by symmetry_of_glb ?10 ?11
8376:  Id :   6, {_}:
          least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13
          [14, 13] by symmetry_of_lub ?13 ?14
8376:  Id :   7, {_}:
          greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
          =?=
          greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
          [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
8376:  Id :   8, {_}:
          least_upper_bound ?20 (least_upper_bound ?21 ?22)
          =?=
          least_upper_bound (least_upper_bound ?20 ?21) ?22
          [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
8376:  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
8376:  Id :  10, {_}:
          greatest_lower_bound ?26 ?26 =>= ?26
          [26] by idempotence_of_gld ?26
8376:  Id :  11, {_}:
          least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
          [29, 28] by lub_absorbtion ?28 ?29
8376:  Id :  12, {_}:
          greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
          [32, 31] by glb_absorbtion ?31 ?32
8376:  Id :  13, {_}:
          multiply ?34 (least_upper_bound ?35 ?36)
          =<=
          least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
          [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
8376:  Id :  14, {_}:
          multiply ?38 (greatest_lower_bound ?39 ?40)
          =<=
          greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
          [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
8376:  Id :  15, {_}:
          multiply (least_upper_bound ?42 ?43) ?44
          =<=
          least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
          [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
8376:  Id :  16, {_}:
          multiply (greatest_lower_bound ?46 ?47) ?48
          =<=
          greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
          [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
8376: Goal:
8376:  Id :   1, {_}:
          multiply (least_upper_bound a identity)
            (inverse (greatest_lower_bound a identity))
          =>=
          multiply (inverse (greatest_lower_bound a identity))
            (least_upper_bound a identity)
          [] by prove_p21x
% SZS status Timeout for GRP184-3.p
8415: Facts:
8415:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
8415:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
8415:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
8415:  Id :   5, {_}:
          greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10
          [11, 10] by symmetry_of_glb ?10 ?11
8415:  Id :   6, {_}:
          least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13
          [14, 13] by symmetry_of_lub ?13 ?14
8415:  Id :   7, {_}:
          greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
          =?=
          greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
          [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
8415:  Id :   8, {_}:
          least_upper_bound ?20 (least_upper_bound ?21 ?22)
          =?=
          least_upper_bound (least_upper_bound ?20 ?21) ?22
          [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
8415:  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
8415:  Id :  10, {_}:
          greatest_lower_bound ?26 ?26 =>= ?26
          [26] by idempotence_of_gld ?26
8415:  Id :  11, {_}:
          least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
          [29, 28] by lub_absorbtion ?28 ?29
8415:  Id :  12, {_}:
          greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
          [32, 31] by glb_absorbtion ?31 ?32
8415:  Id :  13, {_}:
          multiply ?34 (least_upper_bound ?35 ?36)
          =<=
          least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
          [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
8415:  Id :  14, {_}:
          multiply ?38 (greatest_lower_bound ?39 ?40)
          =<=
          greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
          [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
8415:  Id :  15, {_}:
          multiply (least_upper_bound ?42 ?43) ?44
          =<=
          least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
          [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
8415:  Id :  16, {_}:
          multiply (greatest_lower_bound ?46 ?47) ?48
          =<=
          greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
          [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
8415: Goal:
8415:  Id :   1, {_}:
          least_upper_bound (least_upper_bound (multiply a b) identity)
            (multiply (least_upper_bound a identity)
              (least_upper_bound b identity))
          =>=
          multiply (least_upper_bound a identity)
            (least_upper_bound b identity)
          [] by prove_p22a
Statistics :
Max weight : 21
Found proof, 5.334971s
% SZS status Unsatisfiable for GRP185-1.p
% SZS output start CNFRefutation for GRP185-1.p
Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
Id :  21, {_}: multiply (multiply ?57 ?58) ?59 =>= multiply ?57 (multiply ?58 ?59) [59, 58, 57] by associativity ?57 ?58 ?59
Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
Id :  15, {_}: multiply (least_upper_bound ?42 ?43) ?44 =>= least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44) [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
Id :  13, {_}: multiply ?34 (least_upper_bound ?35 ?36) =>= least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36) [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
Id :   8, {_}: least_upper_bound ?20 (least_upper_bound ?21 ?22) =<= least_upper_bound (least_upper_bound ?20 ?21) ?22 [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
Id :   6, {_}: least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13 [14, 13] by symmetry_of_lub ?13 ?14
Id :  23, {_}: multiply identity ?64 =<= multiply (inverse ?65) (multiply ?65 ?64) [65, 64] by Super 21 with 3 at 1,2
Id : 470, {_}: ?582 =<= multiply (inverse ?583) (multiply ?583 ?582) [583, 582] by Demod 23 with 2 at 2
Id : 472, {_}: ?587 =<= multiply (inverse (inverse ?587)) identity [587] by Super 470 with 3 at 2,3
Id :  27, {_}: ?64 =<= multiply (inverse ?65) (multiply ?65 ?64) [65, 64] by Demod 23 with 2 at 2
Id : 478, {_}: multiply ?609 ?610 =<= multiply (inverse (inverse ?609)) ?610 [610, 609] by Super 470 with 27 at 2,3
Id : 713, {_}: ?587 =<= multiply ?587 identity [587] by Demod 472 with 478 at 3
Id :  73, {_}: least_upper_bound ?180 (least_upper_bound ?180 ?181) =>= least_upper_bound ?180 ?181 [181, 180] by Super 8 with 9 at 1,3
Id :  57, {_}: least_upper_bound ?143 (least_upper_bound ?144 ?145) =?= least_upper_bound ?144 (least_upper_bound ?145 ?143) [145, 144, 143] by Super 6 with 8 at 3
Id : 2966, {_}: least_upper_bound b (least_upper_bound a (least_upper_bound identity (multiply a b))) === least_upper_bound b (least_upper_bound a (least_upper_bound identity (multiply a b))) [] by Demod 2965 with 73 at 2,2,2
Id : 2965, {_}: least_upper_bound b (least_upper_bound a (least_upper_bound identity (least_upper_bound identity (multiply a b)))) =>= least_upper_bound b (least_upper_bound a (least_upper_bound identity (multiply a b))) [] by Demod 2964 with 8 at 2,2
Id : 2964, {_}: least_upper_bound b (least_upper_bound (least_upper_bound a identity) (least_upper_bound identity (multiply a b))) =>= least_upper_bound b (least_upper_bound a (least_upper_bound identity (multiply a b))) [] by Demod 2963 with 8 at 2
Id : 2963, {_}: least_upper_bound (least_upper_bound b (least_upper_bound a identity)) (least_upper_bound identity (multiply a b)) =>= least_upper_bound b (least_upper_bound a (least_upper_bound identity (multiply a b))) [] by Demod 2962 with 8 at 2,3
Id : 2962, {_}: least_upper_bound (least_upper_bound b (least_upper_bound a identity)) (least_upper_bound identity (multiply a b)) =>= least_upper_bound b (least_upper_bound (least_upper_bound a identity) (multiply a b)) [] by Demod 2961 with 57 at 2
Id : 2961, {_}: least_upper_bound identity (least_upper_bound (multiply a b) (least_upper_bound b (least_upper_bound a identity))) =>= least_upper_bound b (least_upper_bound (least_upper_bound a identity) (multiply a b)) [] by Demod 2960 with 8 at 3
Id : 2960, {_}: least_upper_bound identity (least_upper_bound (multiply a b) (least_upper_bound b (least_upper_bound a identity))) =>= least_upper_bound (least_upper_bound b (least_upper_bound a identity)) (multiply a b) [] by Demod 2959 with 2 at 2,2,2,2,2
Id : 2959, {_}: least_upper_bound identity (least_upper_bound (multiply a b) (least_upper_bound b (least_upper_bound a (multiply identity identity)))) =>= least_upper_bound (least_upper_bound b (least_upper_bound a identity)) (multiply a b) [] by Demod 2958 with 713 at 1,2,2,2,2
Id : 2958, {_}: least_upper_bound identity (least_upper_bound (multiply a b) (least_upper_bound b (least_upper_bound (multiply a identity) (multiply identity identity)))) =>= least_upper_bound (least_upper_bound b (least_upper_bound a identity)) (multiply a b) [] by Demod 2957 with 2 at 1,2,2,2
Id : 2957, {_}: least_upper_bound identity (least_upper_bound (multiply a b) (least_upper_bound (multiply identity b) (least_upper_bound (multiply a identity) (multiply identity identity)))) =>= least_upper_bound (least_upper_bound b (least_upper_bound a identity)) (multiply a b) [] by Demod 2956 with 6 at 3
Id : 2956, {_}: least_upper_bound identity (least_upper_bound (multiply a b) (least_upper_bound (multiply identity b) (least_upper_bound (multiply a identity) (multiply identity identity)))) =>= least_upper_bound (multiply a b) (least_upper_bound b (least_upper_bound a identity)) [] by Demod 2955 with 73 at 2,2
Id : 2955, {_}: least_upper_bound identity (least_upper_bound (multiply a b) (least_upper_bound (multiply a b) (least_upper_bound (multiply identity b) (least_upper_bound (multiply a identity) (multiply identity identity))))) =>= least_upper_bound (multiply a b) (least_upper_bound b (least_upper_bound a identity)) [] by Demod 2954 with 2 at 2,2,2,3
Id : 2954, {_}: least_upper_bound identity (least_upper_bound (multiply a b) (least_upper_bound (multiply a b) (least_upper_bound (multiply identity b) (least_upper_bound (multiply a identity) (multiply identity identity))))) =>= least_upper_bound (multiply a b) (least_upper_bound b (least_upper_bound a (multiply identity identity))) [] by Demod 2953 with 713 at 1,2,2,3
Id : 2953, {_}: least_upper_bound identity (least_upper_bound (multiply a b) (least_upper_bound (multiply a b) (least_upper_bound (multiply identity b) (least_upper_bound (multiply a identity) (multiply identity identity))))) =>= least_upper_bound (multiply a b) (least_upper_bound b (least_upper_bound (multiply a identity) (multiply identity identity))) [] by Demod 2952 with 2 at 1,2,3
Id : 2952, {_}: least_upper_bound identity (least_upper_bound (multiply a b) (least_upper_bound (multiply a b) (least_upper_bound (multiply identity b) (least_upper_bound (multiply a identity) (multiply identity identity))))) =>= least_upper_bound (multiply a b) (least_upper_bound (multiply identity b) (least_upper_bound (multiply a identity) (multiply identity identity))) [] by Demod 2951 with 8 at 2,2,2
Id : 2951, {_}: least_upper_bound identity (least_upper_bound (multiply a b) (least_upper_bound (least_upper_bound (multiply a b) (multiply identity b)) (least_upper_bound (multiply a identity) (multiply identity identity)))) =>= least_upper_bound (multiply a b) (least_upper_bound (multiply identity b) (least_upper_bound (multiply a identity) (multiply identity identity))) [] by Demod 2950 with 8 at 3
Id : 2950, {_}: least_upper_bound identity (least_upper_bound (multiply a b) (least_upper_bound (least_upper_bound (multiply a b) (multiply identity b)) (least_upper_bound (multiply a identity) (multiply identity identity)))) =>= least_upper_bound (least_upper_bound (multiply a b) (multiply identity b)) (least_upper_bound (multiply a identity) (multiply identity identity)) [] by Demod 2949 with 15 at 2,2,2,2
Id : 2949, {_}: least_upper_bound identity (least_upper_bound (multiply a b) (least_upper_bound (least_upper_bound (multiply a b) (multiply identity b)) (multiply (least_upper_bound a identity) identity))) =>= least_upper_bound (least_upper_bound (multiply a b) (multiply identity b)) (least_upper_bound (multiply a identity) (multiply identity identity)) [] by Demod 2948 with 15 at 1,2,2,2
Id : 2948, {_}: least_upper_bound identity (least_upper_bound (multiply a b) (least_upper_bound (multiply (least_upper_bound a identity) b) (multiply (least_upper_bound a identity) identity))) =>= least_upper_bound (least_upper_bound (multiply a b) (multiply identity b)) (least_upper_bound (multiply a identity) (multiply identity identity)) [] by Demod 2947 with 15 at 2,3
Id : 2947, {_}: least_upper_bound identity (least_upper_bound (multiply a b) (least_upper_bound (multiply (least_upper_bound a identity) b) (multiply (least_upper_bound a identity) identity))) =>= least_upper_bound (least_upper_bound (multiply a b) (multiply identity b)) (multiply (least_upper_bound a identity) identity) [] by Demod 2946 with 15 at 1,3
Id : 2946, {_}: least_upper_bound identity (least_upper_bound (multiply a b) (least_upper_bound (multiply (least_upper_bound a identity) b) (multiply (least_upper_bound a identity) identity))) =>= least_upper_bound (multiply (least_upper_bound a identity) b) (multiply (least_upper_bound a identity) identity) [] by Demod 2945 with 13 at 2,2,2
Id : 2945, {_}: least_upper_bound identity (least_upper_bound (multiply a b) (multiply (least_upper_bound a identity) (least_upper_bound b identity))) =>= least_upper_bound (multiply (least_upper_bound a identity) b) (multiply (least_upper_bound a identity) identity) [] by Demod 2944 with 13 at 3
Id : 2944, {_}: least_upper_bound identity (least_upper_bound (multiply a b) (multiply (least_upper_bound a identity) (least_upper_bound b identity))) =>= multiply (least_upper_bound a identity) (least_upper_bound b identity) [] by Demod 56 with 8 at 2
Id :  56, {_}: least_upper_bound (least_upper_bound identity (multiply a b)) (multiply (least_upper_bound a identity) (least_upper_bound b identity)) =>= multiply (least_upper_bound a identity) (least_upper_bound b identity) [] by Demod 1 with 6 at 1,2
Id :   1, {_}: least_upper_bound (least_upper_bound (multiply a b) identity) (multiply (least_upper_bound a identity) (least_upper_bound b identity)) =>= multiply (least_upper_bound a identity) (least_upper_bound b identity) [] by prove_p22a
% SZS output end CNFRefutation for GRP185-1.p
8417: solved GRP185-1.p in 1.048064 using lpo
!! infer_left                                     200    0.0002    0.0000    0.0000
!! infer_right                                     39    2.3782    0.4992    0.0610
!! simplify_goal                                  198    2.5109    0.4135    0.0127
!! keep_simplified                                 68    0.4409    0.4019    0.0065
!! simplification_step                             71    0.4407    0.4018    0.0062
!! simplify                                      1544    2.7542    0.4006    0.0018
!! orphan_murder                                   70    0.0006    0.0000    0.0000
!! is_subsumed                                   1189    0.4210    0.4001    0.0004
!! build_new_clause                               889    0.0403    0.0007    0.0000
!! demodulate                                    1647    4.8380    0.4135    0.0029
!! demod                                        17712    3.9747    0.4007    0.0002
!! demod.apply_subst                            40004    1.2662    0.4001    0.0000
!! demod.compare_terms                          18045    1.6445    0.4003    0.0001
!! demod.retrieve_generalizations               17712    0.0876    0.0003    0.0000
!! demod.unify                                  33701    0.4697    0.4001    0.0000
!! build_clause                                  3069    0.4676    0.2963    0.0002
!! compare_terms(lpo)                           21591    2.0674    0.4003    0.0001
!! compare_terms(nrkbo)                            16    0.0002    0.0000    0.0000
8423: Facts:
8423:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
8423:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
8423:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
8423:  Id :   5, {_}:
          greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10
          [11, 10] by symmetry_of_glb ?10 ?11
8423:  Id :   6, {_}:
          least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13
          [14, 13] by symmetry_of_lub ?13 ?14
8423:  Id :   7, {_}:
          greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
          =?=
          greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
          [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
8423:  Id :   8, {_}:
          least_upper_bound ?20 (least_upper_bound ?21 ?22)
          =?=
          least_upper_bound (least_upper_bound ?20 ?21) ?22
          [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
8423:  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
8423:  Id :  10, {_}:
          greatest_lower_bound ?26 ?26 =>= ?26
          [26] by idempotence_of_gld ?26
8423:  Id :  11, {_}:
          least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
          [29, 28] by lub_absorbtion ?28 ?29
8423:  Id :  12, {_}:
          greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
          [32, 31] by glb_absorbtion ?31 ?32
8423:  Id :  13, {_}:
          multiply ?34 (least_upper_bound ?35 ?36)
          =<=
          least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
          [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
8423:  Id :  14, {_}:
          multiply ?38 (greatest_lower_bound ?39 ?40)
          =<=
          greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
          [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
8423:  Id :  15, {_}:
          multiply (least_upper_bound ?42 ?43) ?44
          =<=
          least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
          [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
8423:  Id :  16, {_}:
          multiply (greatest_lower_bound ?46 ?47) ?48
          =<=
          greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
          [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
8423:  Id :  17, {_}: inverse identity =>= identity [] by p22a_1
8423:  Id :  18, {_}: inverse (inverse ?51) =>= ?51 [51] by p22a_2 ?51
8423:  Id :  19, {_}:
          inverse (multiply ?53 ?54) =<= multiply (inverse ?54) (inverse ?53)
          [54, 53] by p22a_3 ?53 ?54
8423: Goal:
8423:  Id :   1, {_}:
          least_upper_bound (least_upper_bound (multiply a b) identity)
            (multiply (least_upper_bound a identity)
              (least_upper_bound b identity))
          =>=
          multiply (least_upper_bound a identity)
            (least_upper_bound b identity)
          [] by prove_p22a
Statistics :
Max weight : 21
Found proof, 14.420248s
% SZS status Unsatisfiable for GRP185-2.p
% SZS output start CNFRefutation for GRP185-2.p
Id :  18, {_}: inverse (inverse ?51) =>= ?51 [51] by p22a_2 ?51
Id :  17, {_}: inverse identity =>= identity [] by p22a_1
Id : 420, {_}: inverse (multiply ?514 ?515) =?= multiply (inverse ?515) (inverse ?514) [515, 514] by p22a_3 ?514 ?515
Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
Id :  62, {_}: least_upper_bound ?157 (least_upper_bound ?158 ?159) =<= least_upper_bound (least_upper_bound ?157 ?158) ?159 [159, 158, 157] by associativity_of_lub ?157 ?158 ?159
Id :   6, {_}: least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13 [14, 13] by symmetry_of_lub ?13 ?14
Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
Id :  15, {_}: multiply (least_upper_bound ?42 ?43) ?44 =>= least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44) [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
Id :  13, {_}: multiply ?34 (least_upper_bound ?35 ?36) =>= least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36) [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
Id :   8, {_}: least_upper_bound ?20 (least_upper_bound ?21 ?22) =<= least_upper_bound (least_upper_bound ?20 ?21) ?22 [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
Id :  63, {_}: least_upper_bound ?161 (least_upper_bound ?162 ?163) =<= least_upper_bound (least_upper_bound ?162 ?161) ?163 [163, 162, 161] by Super 62 with 6 at 1,3
Id :  69, {_}: least_upper_bound ?161 (least_upper_bound ?162 ?163) =?= least_upper_bound ?162 (least_upper_bound ?161 ?163) [163, 162, 161] by Demod 63 with 8 at 3
Id :  76, {_}: least_upper_bound ?186 (least_upper_bound ?186 ?187) =>= least_upper_bound ?186 ?187 [187, 186] by Super 8 with 9 at 1,3
Id : 421, {_}: inverse (multiply identity ?517) =<= multiply (inverse ?517) identity [517] by Super 420 with 17 at 2,3
Id : 477, {_}: inverse ?572 =<= multiply (inverse ?572) identity [572] by Demod 421 with 2 at 1,2
Id : 479, {_}: inverse (inverse ?575) =<= multiply ?575 identity [575] by Super 477 with 18 at 1,3
Id : 491, {_}: ?575 =<= multiply ?575 identity [575] by Demod 479 with 18 at 2
Id :  60, {_}: least_upper_bound ?149 (least_upper_bound ?150 ?151) =?= least_upper_bound ?150 (least_upper_bound ?151 ?149) [151, 150, 149] by Super 6 with 8 at 3
Id : 707, {_}: least_upper_bound ?669 (least_upper_bound ?669 ?670) =>= least_upper_bound ?669 ?670 [670, 669] by Super 8 with 9 at 1,3
Id : 708, {_}: least_upper_bound ?672 (least_upper_bound ?673 ?672) =>= least_upper_bound ?672 ?673 [673, 672] by Super 707 with 6 at 2,2
Id : 1174, {_}: least_upper_bound ?909 (least_upper_bound (least_upper_bound ?910 ?909) ?911) =?= least_upper_bound (least_upper_bound ?909 ?910) ?911 [911, 910, 909] by Super 8 with 708 at 1,3
Id : 1201, {_}: least_upper_bound ?909 (least_upper_bound ?910 (least_upper_bound ?909 ?911)) =<= least_upper_bound (least_upper_bound ?909 ?910) ?911 [911, 910, 909] by Demod 1174 with 8 at 2,2
Id : 1202, {_}: least_upper_bound ?909 (least_upper_bound ?910 (least_upper_bound ?909 ?911)) =>= least_upper_bound ?909 (least_upper_bound ?910 ?911) [911, 910, 909] by Demod 1201 with 8 at 3
Id : 7764, {_}: least_upper_bound a (least_upper_bound b (least_upper_bound identity (multiply a b))) === least_upper_bound a (least_upper_bound b (least_upper_bound identity (multiply a b))) [] by Demod 7763 with 69 at 2
Id : 7763, {_}: least_upper_bound b (least_upper_bound a (least_upper_bound identity (multiply a b))) =>= least_upper_bound a (least_upper_bound b (least_upper_bound identity (multiply a b))) [] by Demod 7762 with 60 at 2,2
Id : 7762, {_}: least_upper_bound b (least_upper_bound identity (least_upper_bound (multiply a b) a)) =>= least_upper_bound a (least_upper_bound b (least_upper_bound identity (multiply a b))) [] by Demod 7761 with 491 at 2,2,2,2
Id : 7761, {_}: least_upper_bound b (least_upper_bound identity (least_upper_bound (multiply a b) (multiply a identity))) =>= least_upper_bound a (least_upper_bound b (least_upper_bound identity (multiply a b))) [] by Demod 7760 with 69 at 3
Id : 7760, {_}: least_upper_bound b (least_upper_bound identity (least_upper_bound (multiply a b) (multiply a identity))) =>= least_upper_bound b (least_upper_bound a (least_upper_bound identity (multiply a b))) [] by Demod 7759 with 1202 at 2,2
Id : 7759, {_}: least_upper_bound b (least_upper_bound identity (least_upper_bound (multiply a b) (least_upper_bound identity (multiply a identity)))) =>= least_upper_bound b (least_upper_bound a (least_upper_bound identity (multiply a b))) [] by Demod 7758 with 60 at 2,3
Id : 7758, {_}: least_upper_bound b (least_upper_bound identity (least_upper_bound (multiply a b) (least_upper_bound identity (multiply a identity)))) =>= least_upper_bound b (least_upper_bound identity (least_upper_bound (multiply a b) a)) [] by Demod 7757 with 69 at 2
Id : 7757, {_}: least_upper_bound identity (least_upper_bound b (least_upper_bound (multiply a b) (least_upper_bound identity (multiply a identity)))) =>= least_upper_bound b (least_upper_bound identity (least_upper_bound (multiply a b) a)) [] by Demod 7756 with 491 at 2,2,2,3
Id : 7756, {_}: least_upper_bound identity (least_upper_bound b (least_upper_bound (multiply a b) (least_upper_bound identity (multiply a identity)))) =>= least_upper_bound b (least_upper_bound identity (least_upper_bound (multiply a b) (multiply a identity))) [] by Demod 7755 with 69 at 2,2
Id : 7755, {_}: least_upper_bound identity (least_upper_bound (multiply a b) (least_upper_bound b (least_upper_bound identity (multiply a identity)))) =>= least_upper_bound b (least_upper_bound identity (least_upper_bound (multiply a b) (multiply a identity))) [] by Demod 7754 with 69 at 2,3
Id : 7754, {_}: least_upper_bound identity (least_upper_bound (multiply a b) (least_upper_bound b (least_upper_bound identity (multiply a identity)))) =>= least_upper_bound b (least_upper_bound (multiply a b) (least_upper_bound identity (multiply a identity))) [] by Demod 7753 with 76 at 2,2
Id : 7753, {_}: least_upper_bound identity (least_upper_bound (multiply a b) (least_upper_bound (multiply a b) (least_upper_bound b (least_upper_bound identity (multiply a identity))))) =>= least_upper_bound b (least_upper_bound (multiply a b) (least_upper_bound identity (multiply a identity))) [] by Demod 7752 with 69 at 3
Id : 7752, {_}: least_upper_bound identity (least_upper_bound (multiply a b) (least_upper_bound (multiply a b) (least_upper_bound b (least_upper_bound identity (multiply a identity))))) =>= least_upper_bound (multiply a b) (least_upper_bound b (least_upper_bound identity (multiply a identity))) [] by Demod 509 with 69 at 2
Id : 509, {_}: least_upper_bound (multiply a b) (least_upper_bound identity (least_upper_bound (multiply a b) (least_upper_bound b (least_upper_bound identity (multiply a identity))))) =>= least_upper_bound (multiply a b) (least_upper_bound b (least_upper_bound identity (multiply a identity))) [] by Demod 508 with 6 at 2,2,2,2,2
Id : 508, {_}: least_upper_bound (multiply a b) (least_upper_bound identity (least_upper_bound (multiply a b) (least_upper_bound b (least_upper_bound (multiply a identity) identity)))) =>= least_upper_bound (multiply a b) (least_upper_bound b (least_upper_bound identity (multiply a identity))) [] by Demod 507 with 6 at 2,2,3
Id : 507, {_}: least_upper_bound (multiply a b) (least_upper_bound identity (least_upper_bound (multiply a b) (least_upper_bound b (least_upper_bound (multiply a identity) identity)))) =>= least_upper_bound (multiply a b) (least_upper_bound b (least_upper_bound (multiply a identity) identity)) [] by Demod 506 with 2 at 2,2,2,2,2,2
Id : 506, {_}: least_upper_bound (multiply a b) (least_upper_bound identity (least_upper_bound (multiply a b) (least_upper_bound b (least_upper_bound (multiply a identity) (multiply identity identity))))) =>= least_upper_bound (multiply a b) (least_upper_bound b (least_upper_bound (multiply a identity) identity)) [] by Demod 505 with 2 at 1,2,2,2,2
Id : 505, {_}: least_upper_bound (multiply a b) (least_upper_bound identity (least_upper_bound (multiply a b) (least_upper_bound (multiply identity b) (least_upper_bound (multiply a identity) (multiply identity identity))))) =>= least_upper_bound (multiply a b) (least_upper_bound b (least_upper_bound (multiply a identity) identity)) [] by Demod 504 with 2 at 2,2,2,3
Id : 504, {_}: least_upper_bound (multiply a b) (least_upper_bound identity (least_upper_bound (multiply a b) (least_upper_bound (multiply identity b) (least_upper_bound (multiply a identity) (multiply identity identity))))) =>= least_upper_bound (multiply a b) (least_upper_bound b (least_upper_bound (multiply a identity) (multiply identity identity))) [] by Demod 503 with 2 at 1,2,3
Id : 503, {_}: least_upper_bound (multiply a b) (least_upper_bound identity (least_upper_bound (multiply a b) (least_upper_bound (multiply identity b) (least_upper_bound (multiply a identity) (multiply identity identity))))) =>= least_upper_bound (multiply a b) (least_upper_bound (multiply identity b) (least_upper_bound (multiply a identity) (multiply identity identity))) [] by Demod 502 with 8 at 2,2,2
Id : 502, {_}: least_upper_bound (multiply a b) (least_upper_bound identity (least_upper_bound (least_upper_bound (multiply a b) (multiply identity b)) (least_upper_bound (multiply a identity) (multiply identity identity)))) =>= least_upper_bound (multiply a b) (least_upper_bound (multiply identity b) (least_upper_bound (multiply a identity) (multiply identity identity))) [] by Demod 501 with 8 at 3
Id : 501, {_}: least_upper_bound (multiply a b) (least_upper_bound identity (least_upper_bound (least_upper_bound (multiply a b) (multiply identity b)) (least_upper_bound (multiply a identity) (multiply identity identity)))) =>= least_upper_bound (least_upper_bound (multiply a b) (multiply identity b)) (least_upper_bound (multiply a identity) (multiply identity identity)) [] by Demod 500 with 15 at 2,2,2,2
Id : 500, {_}: least_upper_bound (multiply a b) (least_upper_bound identity (least_upper_bound (least_upper_bound (multiply a b) (multiply identity b)) (multiply (least_upper_bound a identity) identity))) =>= least_upper_bound (least_upper_bound (multiply a b) (multiply identity b)) (least_upper_bound (multiply a identity) (multiply identity identity)) [] by Demod 499 with 15 at 1,2,2,2
Id : 499, {_}: least_upper_bound (multiply a b) (least_upper_bound identity (least_upper_bound (multiply (least_upper_bound a identity) b) (multiply (least_upper_bound a identity) identity))) =>= least_upper_bound (least_upper_bound (multiply a b) (multiply identity b)) (least_upper_bound (multiply a identity) (multiply identity identity)) [] by Demod 498 with 15 at 2,3
Id : 498, {_}: least_upper_bound (multiply a b) (least_upper_bound identity (least_upper_bound (multiply (least_upper_bound a identity) b) (multiply (least_upper_bound a identity) identity))) =>= least_upper_bound (least_upper_bound (multiply a b) (multiply identity b)) (multiply (least_upper_bound a identity) identity) [] by Demod 497 with 15 at 1,3
Id : 497, {_}: least_upper_bound (multiply a b) (least_upper_bound identity (least_upper_bound (multiply (least_upper_bound a identity) b) (multiply (least_upper_bound a identity) identity))) =>= least_upper_bound (multiply (least_upper_bound a identity) b) (multiply (least_upper_bound a identity) identity) [] by Demod 496 with 13 at 2,2,2
Id : 496, {_}: least_upper_bound (multiply a b) (least_upper_bound identity (multiply (least_upper_bound a identity) (least_upper_bound b identity))) =>= least_upper_bound (multiply (least_upper_bound a identity) b) (multiply (least_upper_bound a identity) identity) [] by Demod 495 with 13 at 3
Id : 495, {_}: least_upper_bound (multiply a b) (least_upper_bound identity (multiply (least_upper_bound a identity) (least_upper_bound b identity))) =>= multiply (least_upper_bound a identity) (least_upper_bound b identity) [] by Demod 1 with 8 at 2
Id :   1, {_}: least_upper_bound (least_upper_bound (multiply a b) identity) (multiply (least_upper_bound a identity) (least_upper_bound b identity)) =>= multiply (least_upper_bound a identity) (least_upper_bound b identity) [] by prove_p22a
% SZS output end CNFRefutation for GRP185-2.p
8425: solved GRP185-2.p in 2.828176 using lpo
!! infer_left                                     445    0.0004    0.0000    0.0000
!! infer_right                                     61    9.7164    0.9528    0.1593
!! simplify_goal                                  438    4.1641    0.4115    0.0095
!! keep_simplified                                163    0.5263    0.4031    0.0032
!! simplification_step                            165    0.5258    0.4031    0.0032
!! simplify                                      4247    8.8132    0.4067    0.0021
!! orphan_murder                                  163    0.0020    0.0001    0.0000
!! is_subsumed                                   2993    0.0626    0.0003    0.0000
!! build_new_clause                              2626    0.5502    0.4005    0.0002
!! demodulate                                    4461   12.8974    0.4115    0.0029
!! demod                                        42176    9.7292    0.4014    0.0002
!! demod.apply_subst                           110926    0.9934    0.4013    0.0000
!! demod.compare_terms                          50572    5.6042    0.4004    0.0001
!! demod.retrieve_generalizations               42176    1.0239    0.4001    0.0000
!! demod.unify                                  98253    0.6176    0.4001    0.0000
!! build_clause                                  8077    3.2207    0.4016    0.0004
!! compare_terms(lpo)                           59928    7.5018    0.4016    0.0001
!! compare_terms(nrkbo)                            19    0.0018    0.0016    0.0001
8431: Facts:
8431:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
8431:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
8431:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
8431:  Id :   5, {_}:
          greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10
          [11, 10] by symmetry_of_glb ?10 ?11
8431:  Id :   6, {_}:
          least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13
          [14, 13] by symmetry_of_lub ?13 ?14
8431:  Id :   7, {_}:
          greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
          =?=
          greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
          [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
8431:  Id :   8, {_}:
          least_upper_bound ?20 (least_upper_bound ?21 ?22)
          =?=
          least_upper_bound (least_upper_bound ?20 ?21) ?22
          [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
8431:  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
8431:  Id :  10, {_}:
          greatest_lower_bound ?26 ?26 =>= ?26
          [26] by idempotence_of_gld ?26
8431:  Id :  11, {_}:
          least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
          [29, 28] by lub_absorbtion ?28 ?29
8431:  Id :  12, {_}:
          greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
          [32, 31] by glb_absorbtion ?31 ?32
8431:  Id :  13, {_}:
          multiply ?34 (least_upper_bound ?35 ?36)
          =<=
          least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
          [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
8431:  Id :  14, {_}:
          multiply ?38 (greatest_lower_bound ?39 ?40)
          =<=
          greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
          [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
8431:  Id :  15, {_}:
          multiply (least_upper_bound ?42 ?43) ?44
          =<=
          least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
          [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
8431:  Id :  16, {_}:
          multiply (greatest_lower_bound ?46 ?47) ?48
          =<=
          greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
          [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
8431: Goal:
8431:  Id :   1, {_}:
          greatest_lower_bound (least_upper_bound (multiply a b) identity)
            (multiply (least_upper_bound a identity)
              (least_upper_bound b identity))
          =>=
          least_upper_bound (multiply a b) identity
          [] by prove_p22b
Statistics :
Max weight : 21
Found proof, 3.899196s
% SZS status Unsatisfiable for GRP185-3.p
% SZS output start CNFRefutation for GRP185-3.p
Id : 104, {_}: greatest_lower_bound ?245 (least_upper_bound ?245 ?246) =>= ?245 [246, 245] by glb_absorbtion ?245 ?246
Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
Id :  21, {_}: multiply (multiply ?57 ?58) ?59 =>= multiply ?57 (multiply ?58 ?59) [59, 58, 57] by associativity ?57 ?58 ?59
Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
Id :   8, {_}: least_upper_bound ?20 (least_upper_bound ?21 ?22) =<= least_upper_bound (least_upper_bound ?20 ?21) ?22 [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
Id :  15, {_}: multiply (least_upper_bound ?42 ?43) ?44 =>= least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44) [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
Id :  13, {_}: multiply ?34 (least_upper_bound ?35 ?36) =>= least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36) [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
Id :   6, {_}: least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13 [14, 13] by symmetry_of_lub ?13 ?14
Id :  23, {_}: multiply identity ?64 =<= multiply (inverse ?65) (multiply ?65 ?64) [65, 64] by Super 21 with 3 at 1,2
Id : 380, {_}: ?582 =<= multiply (inverse ?583) (multiply ?583 ?582) [583, 582] by Demod 23 with 2 at 2
Id : 382, {_}: ?587 =<= multiply (inverse (inverse ?587)) identity [587] by Super 380 with 3 at 2,3
Id :  27, {_}: ?64 =<= multiply (inverse ?65) (multiply ?65 ?64) [65, 64] by Demod 23 with 2 at 2
Id : 388, {_}: multiply ?609 ?610 =<= multiply (inverse (inverse ?609)) ?610 [610, 609] by Super 380 with 27 at 2,3
Id : 513, {_}: ?587 =<= multiply ?587 identity [587] by Demod 382 with 388 at 3
Id : 800, {_}: greatest_lower_bound ?1077 (least_upper_bound ?1078 ?1077) =>= ?1077 [1078, 1077] by Super 104 with 6 at 2,2
Id : 807, {_}: greatest_lower_bound ?1097 (least_upper_bound ?1098 (least_upper_bound ?1099 ?1097)) =>= ?1097 [1099, 1098, 1097] by Super 800 with 8 at 2,2
Id : 2297, {_}: least_upper_bound identity (multiply a b) === least_upper_bound identity (multiply a b) [] by Demod 2296 with 807 at 2
Id : 2296, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (least_upper_bound b (least_upper_bound a (least_upper_bound identity (multiply a b)))) =>= least_upper_bound identity (multiply a b) [] by Demod 2295 with 8 at 2,2,2
Id : 2295, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (least_upper_bound b (least_upper_bound (least_upper_bound a identity) (multiply a b))) =>= least_upper_bound identity (multiply a b) [] by Demod 2294 with 8 at 2,2
Id : 2294, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (least_upper_bound (least_upper_bound b (least_upper_bound a identity)) (multiply a b)) =>= least_upper_bound identity (multiply a b) [] by Demod 2293 with 6 at 2,2
Id : 2293, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (least_upper_bound (multiply a b) (least_upper_bound b (least_upper_bound a identity))) =>= least_upper_bound identity (multiply a b) [] by Demod 2292 with 2 at 2,2,2,2,2
Id : 2292, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (least_upper_bound (multiply a b) (least_upper_bound b (least_upper_bound a (multiply identity identity)))) =>= least_upper_bound identity (multiply a b) [] by Demod 2291 with 513 at 1,2,2,2,2
Id : 2291, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (least_upper_bound (multiply a b) (least_upper_bound b (least_upper_bound (multiply a identity) (multiply identity identity)))) =>= least_upper_bound identity (multiply a b) [] by Demod 2290 with 2 at 1,2,2,2
Id : 2290, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (least_upper_bound (multiply a b) (least_upper_bound (multiply identity b) (least_upper_bound (multiply a identity) (multiply identity identity)))) =>= least_upper_bound identity (multiply a b) [] by Demod 2289 with 8 at 2,2
Id : 2289, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (least_upper_bound (least_upper_bound (multiply a b) (multiply identity b)) (least_upper_bound (multiply a identity) (multiply identity identity))) =>= least_upper_bound identity (multiply a b) [] by Demod 2288 with 15 at 2,2,2
Id : 2288, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (least_upper_bound (least_upper_bound (multiply a b) (multiply identity b)) (multiply (least_upper_bound a identity) identity)) =>= least_upper_bound identity (multiply a b) [] by Demod 2287 with 15 at 1,2,2
Id : 2287, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (least_upper_bound (multiply (least_upper_bound a identity) b) (multiply (least_upper_bound a identity) identity)) =>= least_upper_bound identity (multiply a b) [] by Demod 2286 with 6 at 3
Id : 2286, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (least_upper_bound (multiply (least_upper_bound a identity) b) (multiply (least_upper_bound a identity) identity)) =>= least_upper_bound (multiply a b) identity [] by Demod 2285 with 13 at 2,2
Id : 2285, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (multiply (least_upper_bound a identity) (least_upper_bound b identity)) =>= least_upper_bound (multiply a b) identity [] by Demod 1 with 6 at 1,2
Id :   1, {_}: greatest_lower_bound (least_upper_bound (multiply a b) identity) (multiply (least_upper_bound a identity) (least_upper_bound b identity)) =>= least_upper_bound (multiply a b) identity [] by prove_p22b
% SZS output end CNFRefutation for GRP185-3.p
8433: solved GRP185-3.p in 0.80405 using lpo
!! infer_left                                     112    0.0001    0.0000    0.0000
!! infer_right                                     41    2.5648    0.4974    0.0626
!! simplify_goal                                  110    1.2845    0.4047    0.0117
!! keep_simplified                                 71    0.0451    0.0021    0.0006
!! simplification_step                             74    0.0448    0.0021    0.0006
!! simplify                                      1726    2.5360    0.4042    0.0015
!! orphan_murder                                   73    0.0005    0.0000    0.0000
!! is_subsumed                                   1322    0.0245    0.0002    0.0000
!! build_new_clause                              1005    0.0448    0.0007    0.0000
!! demodulate                                    1731    3.7903    0.4047    0.0022
!! demod                                        13340    3.3069    0.4007    0.0002
!! demod.apply_subst                            33322    0.0575    0.0003    0.0000
!! demod.compare_terms                          15459    1.8419    0.4002    0.0001
!! demod.retrieve_generalizations               13340    0.0611    0.0002    0.0000
!! demod.unify                                  26972    0.0610    0.0002    0.0000
!! build_clause                                  2386    0.4986    0.4003    0.0002
!! compare_terms(lpo)                           18357    2.0043    0.4003    0.0001
!! compare_terms(nrkbo)                            16    0.0002    0.0000    0.0000
8440: Facts:
8440:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
8440:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
8440:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
8440:  Id :   5, {_}:
          greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10
          [11, 10] by symmetry_of_glb ?10 ?11
8440:  Id :   6, {_}:
          least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13
          [14, 13] by symmetry_of_lub ?13 ?14
8440:  Id :   7, {_}:
          greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
          =?=
          greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
          [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
8440:  Id :   8, {_}:
          least_upper_bound ?20 (least_upper_bound ?21 ?22)
          =?=
          least_upper_bound (least_upper_bound ?20 ?21) ?22
          [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
8440:  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
8440:  Id :  10, {_}:
          greatest_lower_bound ?26 ?26 =>= ?26
          [26] by idempotence_of_gld ?26
8440:  Id :  11, {_}:
          least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
          [29, 28] by lub_absorbtion ?28 ?29
8440:  Id :  12, {_}:
          greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
          [32, 31] by glb_absorbtion ?31 ?32
8440:  Id :  13, {_}:
          multiply ?34 (least_upper_bound ?35 ?36)
          =<=
          least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
          [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
8440:  Id :  14, {_}:
          multiply ?38 (greatest_lower_bound ?39 ?40)
          =<=
          greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
          [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
8440:  Id :  15, {_}:
          multiply (least_upper_bound ?42 ?43) ?44
          =<=
          least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
          [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
8440:  Id :  16, {_}:
          multiply (greatest_lower_bound ?46 ?47) ?48
          =<=
          greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
          [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
8440:  Id :  17, {_}: inverse identity =>= identity [] by p22b_1
8440:  Id :  18, {_}: inverse (inverse ?51) =>= ?51 [51] by p22b_2 ?51
8440:  Id :  19, {_}:
          inverse (multiply ?53 ?54) =<= multiply (inverse ?54) (inverse ?53)
          [54, 53] by p22b_3 ?53 ?54
8440: Goal:
8440:  Id :   1, {_}:
          greatest_lower_bound (least_upper_bound (multiply a b) identity)
            (multiply (least_upper_bound a identity)
              (least_upper_bound b identity))
          =>=
          least_upper_bound (multiply a b) identity
          [] by prove_p22b
Statistics :
Max weight : 21
Found proof, 2.688809s
% SZS status Unsatisfiable for GRP185-4.p
% SZS output start CNFRefutation for GRP185-4.p
Id : 107, {_}: greatest_lower_bound ?251 (least_upper_bound ?251 ?252) =>= ?251 [252, 251] by glb_absorbtion ?251 ?252
Id :  18, {_}: inverse (inverse ?51) =>= ?51 [51] by p22b_2 ?51
Id :  17, {_}: inverse identity =>= identity [] by p22b_1
Id : 332, {_}: inverse (multiply ?514 ?515) =?= multiply (inverse ?515) (inverse ?514) [515, 514] by p22b_3 ?514 ?515
Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
Id :   8, {_}: least_upper_bound ?20 (least_upper_bound ?21 ?22) =<= least_upper_bound (least_upper_bound ?20 ?21) ?22 [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
Id :  15, {_}: multiply (least_upper_bound ?42 ?43) ?44 =>= least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44) [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
Id :  13, {_}: multiply ?34 (least_upper_bound ?35 ?36) =>= least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36) [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
Id :   6, {_}: least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13 [14, 13] by symmetry_of_lub ?13 ?14
Id : 333, {_}: inverse (multiply identity ?517) =<= multiply (inverse ?517) identity [517] by Super 332 with 17 at 2,3
Id : 368, {_}: inverse ?572 =<= multiply (inverse ?572) identity [572] by Demod 333 with 2 at 1,2
Id : 370, {_}: inverse (inverse ?575) =<= multiply ?575 identity [575] by Super 368 with 18 at 1,3
Id : 382, {_}: ?575 =<= multiply ?575 identity [575] by Demod 370 with 18 at 2
Id : 696, {_}: greatest_lower_bound ?874 (least_upper_bound ?875 ?874) =>= ?874 [875, 874] by Super 107 with 6 at 2,2
Id : 703, {_}: greatest_lower_bound ?894 (least_upper_bound ?895 (least_upper_bound ?896 ?894)) =>= ?894 [896, 895, 894] by Super 696 with 8 at 2,2
Id : 1870, {_}: least_upper_bound identity (multiply a b) === least_upper_bound identity (multiply a b) [] by Demod 1869 with 703 at 2
Id : 1869, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (least_upper_bound b (least_upper_bound a (least_upper_bound identity (multiply a b)))) =>= least_upper_bound identity (multiply a b) [] by Demod 1868 with 8 at 2,2,2
Id : 1868, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (least_upper_bound b (least_upper_bound (least_upper_bound a identity) (multiply a b))) =>= least_upper_bound identity (multiply a b) [] by Demod 1867 with 8 at 2,2
Id : 1867, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (least_upper_bound (least_upper_bound b (least_upper_bound a identity)) (multiply a b)) =>= least_upper_bound identity (multiply a b) [] by Demod 1866 with 6 at 2,2
Id : 1866, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (least_upper_bound (multiply a b) (least_upper_bound b (least_upper_bound a identity))) =>= least_upper_bound identity (multiply a b) [] by Demod 1865 with 2 at 2,2,2,2,2
Id : 1865, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (least_upper_bound (multiply a b) (least_upper_bound b (least_upper_bound a (multiply identity identity)))) =>= least_upper_bound identity (multiply a b) [] by Demod 1864 with 382 at 1,2,2,2,2
Id : 1864, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (least_upper_bound (multiply a b) (least_upper_bound b (least_upper_bound (multiply a identity) (multiply identity identity)))) =>= least_upper_bound identity (multiply a b) [] by Demod 1863 with 2 at 1,2,2,2
Id : 1863, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (least_upper_bound (multiply a b) (least_upper_bound (multiply identity b) (least_upper_bound (multiply a identity) (multiply identity identity)))) =>= least_upper_bound identity (multiply a b) [] by Demod 1862 with 8 at 2,2
Id : 1862, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (least_upper_bound (least_upper_bound (multiply a b) (multiply identity b)) (least_upper_bound (multiply a identity) (multiply identity identity))) =>= least_upper_bound identity (multiply a b) [] by Demod 1861 with 15 at 2,2,2
Id : 1861, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (least_upper_bound (least_upper_bound (multiply a b) (multiply identity b)) (multiply (least_upper_bound a identity) identity)) =>= least_upper_bound identity (multiply a b) [] by Demod 1860 with 15 at 1,2,2
Id : 1860, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (least_upper_bound (multiply (least_upper_bound a identity) b) (multiply (least_upper_bound a identity) identity)) =>= least_upper_bound identity (multiply a b) [] by Demod 1859 with 6 at 3
Id : 1859, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (least_upper_bound (multiply (least_upper_bound a identity) b) (multiply (least_upper_bound a identity) identity)) =>= least_upper_bound (multiply a b) identity [] by Demod 1858 with 13 at 2,2
Id : 1858, {_}: greatest_lower_bound (least_upper_bound identity (multiply a b)) (multiply (least_upper_bound a identity) (least_upper_bound b identity)) =>= least_upper_bound (multiply a b) identity [] by Demod 1 with 6 at 1,2
Id :   1, {_}: greatest_lower_bound (least_upper_bound (multiply a b) identity) (multiply (least_upper_bound a identity) (least_upper_bound b identity)) =>= least_upper_bound (multiply a b) identity [] by prove_p22b
% SZS output end CNFRefutation for GRP185-4.p
8442: solved GRP185-4.p in 0.524032 using lpo
!! infer_left                                     106    0.0001    0.0000    0.0000
!! infer_right                                     38    1.5097    0.4446    0.0397
!! simplify_goal                                  104    0.9291    0.4044    0.0089
!! keep_simplified                                 53    0.2460    0.2123    0.0046
!! simplification_step                             53    0.2459    0.2122    0.0046
!! simplify                                      1386    1.7000    0.4026    0.0012
!! orphan_murder                                   53    0.0004    0.0001    0.0000
!! is_subsumed                                   1031    0.0127    0.0002    0.0000
!! build_new_clause                               728    0.0323    0.0013    0.0000
!! demodulate                                    1403    2.6113    0.4044    0.0019
!! demod                                        11597    2.1437    0.4006    0.0002
!! demod.apply_subst                            19168    0.0320    0.0001    0.0000
!! demod.compare_terms                           8552    1.3522    0.4003    0.0002
!! demod.retrieve_generalizations               11597    0.2669    0.2121    0.0000
!! demod.unify                                  16413    0.0363    0.0004    0.0000
!! build_clause                                  1900    0.0749    0.0013    0.0000
!! compare_terms(lpo)                           10727    1.4029    0.4003    0.0001
!! compare_terms(nrkbo)                            19    0.0018    0.0016    0.0001
8448: Facts:
8448:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
8448:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
8448:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
8448:  Id :   5, {_}:
          greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10
          [11, 10] by symmetry_of_glb ?10 ?11
8448:  Id :   6, {_}:
          least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13
          [14, 13] by symmetry_of_lub ?13 ?14
8448:  Id :   7, {_}:
          greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
          =?=
          greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
          [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
8448:  Id :   8, {_}:
          least_upper_bound ?20 (least_upper_bound ?21 ?22)
          =?=
          least_upper_bound (least_upper_bound ?20 ?21) ?22
          [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
8448:  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
8448:  Id :  10, {_}:
          greatest_lower_bound ?26 ?26 =>= ?26
          [26] by idempotence_of_gld ?26
8448:  Id :  11, {_}:
          least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
          [29, 28] by lub_absorbtion ?28 ?29
8448:  Id :  12, {_}:
          greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
          [32, 31] by glb_absorbtion ?31 ?32
8448:  Id :  13, {_}:
          multiply ?34 (least_upper_bound ?35 ?36)
          =<=
          least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
          [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
8448:  Id :  14, {_}:
          multiply ?38 (greatest_lower_bound ?39 ?40)
          =<=
          greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
          [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
8448:  Id :  15, {_}:
          multiply (least_upper_bound ?42 ?43) ?44
          =<=
          least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
          [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
8448:  Id :  16, {_}:
          multiply (greatest_lower_bound ?46 ?47) ?48
          =<=
          greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
          [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
8448: Goal:
8448:  Id :   1, {_}:
          least_upper_bound (multiply a b) identity
          =<=
          multiply a (inverse (greatest_lower_bound a (inverse b)))
          [] by prove_p23
% SZS status Timeout for GRP186-1.p
8512: Facts:
8512:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
8512:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
8512:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
8512:  Id :   5, {_}:
          greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10
          [11, 10] by symmetry_of_glb ?10 ?11
8512:  Id :   6, {_}:
          least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13
          [14, 13] by symmetry_of_lub ?13 ?14
8512:  Id :   7, {_}:
          greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
          =?=
          greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
          [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
8512:  Id :   8, {_}:
          least_upper_bound ?20 (least_upper_bound ?21 ?22)
          =?=
          least_upper_bound (least_upper_bound ?20 ?21) ?22
          [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
8512:  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
8512:  Id :  10, {_}:
          greatest_lower_bound ?26 ?26 =>= ?26
          [26] by idempotence_of_gld ?26
8512:  Id :  11, {_}:
          least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
          [29, 28] by lub_absorbtion ?28 ?29
8512:  Id :  12, {_}:
          greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
          [32, 31] by glb_absorbtion ?31 ?32
8512:  Id :  13, {_}:
          multiply ?34 (least_upper_bound ?35 ?36)
          =<=
          least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
          [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
8512:  Id :  14, {_}:
          multiply ?38 (greatest_lower_bound ?39 ?40)
          =<=
          greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
          [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
8512:  Id :  15, {_}:
          multiply (least_upper_bound ?42 ?43) ?44
          =<=
          least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
          [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
8512:  Id :  16, {_}:
          multiply (greatest_lower_bound ?46 ?47) ?48
          =<=
          greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
          [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
8512:  Id :  17, {_}: inverse identity =>= identity [] by p23_1
8512:  Id :  18, {_}: inverse (inverse ?51) =>= ?51 [51] by p23_2 ?51
8512:  Id :  19, {_}:
          inverse (multiply ?53 ?54) =<= multiply (inverse ?54) (inverse ?53)
          [54, 53] by p23_3 ?53 ?54
8512: Goal:
8512:  Id :   1, {_}:
          least_upper_bound (multiply a b) identity
          =<=
          multiply a (inverse (greatest_lower_bound a (inverse b)))
          [] by prove_p23
% SZS status Timeout for GRP186-2.p
8550: Facts:
8550:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
8550:  Id :   3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
8550:  Id :   4, {_}:
          multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
          [8, 7, 6] by associativity ?6 ?7 ?8
8550:  Id :   5, {_}:
          greatest_lower_bound ?10 ?11 =<->= greatest_lower_bound ?11 ?10
          [11, 10] by symmetry_of_glb ?10 ?11
8550:  Id :   6, {_}:
          least_upper_bound ?13 ?14 =<->= least_upper_bound ?14 ?13
          [14, 13] by symmetry_of_lub ?13 ?14
8550:  Id :   7, {_}:
          greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
          =?=
          greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
          [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
8550:  Id :   8, {_}:
          least_upper_bound ?20 (least_upper_bound ?21 ?22)
          =?=
          least_upper_bound (least_upper_bound ?20 ?21) ?22
          [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
8550:  Id :   9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
8550:  Id :  10, {_}:
          greatest_lower_bound ?26 ?26 =>= ?26
          [26] by idempotence_of_gld ?26
8550:  Id :  11, {_}:
          least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
          [29, 28] by lub_absorbtion ?28 ?29
8550:  Id :  12, {_}:
          greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
          [32, 31] by glb_absorbtion ?31 ?32
8550:  Id :  13, {_}:
          multiply ?34 (least_upper_bound ?35 ?36)
          =<=
          least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
          [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
8550:  Id :  14, {_}:
          multiply ?38 (greatest_lower_bound ?39 ?40)
          =<=
          greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
          [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
8550:  Id :  15, {_}:
          multiply (least_upper_bound ?42 ?43) ?44
          =<=
          least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
          [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
8550:  Id :  16, {_}:
          multiply (greatest_lower_bound ?46 ?47) ?48
          =<=
          greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
          [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
8550:  Id :  17, {_}:
          greatest_lower_bound (least_upper_bound a (inverse a))
            (least_upper_bound b (inverse b))
          =>=
          identity
          [] by p33_1
8550: Goal:
8550:  Id :   1, {_}: multiply a b =<= multiply b a [] by prove_p33
% SZS status Timeout for GRP187-1.p
8589: Facts:
8589:  Id :   2, {_}:
          multiply (multiply ?2 ?3) ?4 =?= multiply ?2 (multiply ?3 ?4)
          [4, 3, 2] by associativity_of_multiply ?2 ?3 ?4
8589:  Id :   3, {_}:
          multiply ?6 (multiply ?7 (multiply ?7 ?7))
          =?=
          multiply ?7 (multiply ?7 (multiply ?7 ?6))
          [7, 6] by condition ?6 ?7
8589: Goal:
8589:  Id :   1, {_}:
          multiply a
            (multiply b
              (multiply a
                (multiply b
                  (multiply a
                    (multiply b
                      (multiply a
                        (multiply b
                          (multiply a
                            (multiply b
                              (multiply a
                                (multiply b
                                  (multiply a
                                    (multiply b
                                      (multiply a (multiply b (multiply a b))))))))))))))))
          =>=
          multiply a
            (multiply a
              (multiply a
                (multiply a
                  (multiply a
                    (multiply a
                      (multiply a
                        (multiply a
                          (multiply a
                            (multiply b
                              (multiply b
                                (multiply b
                                  (multiply b
                                    (multiply b
                                      (multiply b (multiply b (multiply b b))))))))))))))))
          [] by prove_this
% SZS status Timeout for GRP196-1.p
8627: Facts:
8627:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
8627:  Id :   3, {_}: multiply ?4 identity =>= ?4 [4] by right_identity ?4
8627:  Id :   4, {_}:
          multiply ?6 (left_division ?6 ?7) =>= ?7
          [7, 6] by multiply_left_division ?6 ?7
8627:  Id :   5, {_}:
          left_division ?9 (multiply ?9 ?10) =>= ?10
          [10, 9] by left_division_multiply ?9 ?10
8627:  Id :   6, {_}:
          multiply (right_division ?12 ?13) ?13 =>= ?12
          [13, 12] by multiply_right_division ?12 ?13
8627:  Id :   7, {_}:
          right_division (multiply ?15 ?16) ?16 =>= ?15
          [16, 15] by right_division_multiply ?15 ?16
8627:  Id :   8, {_}:
          multiply ?18 (right_inverse ?18) =>= identity
          [18] by right_inverse ?18
8627:  Id :   9, {_}:
          multiply (left_inverse ?20) ?20 =>= identity
          [20] by left_inverse ?20
8627:  Id :  10, {_}:
          multiply (multiply ?22 (multiply ?23 ?24)) ?22
          =?=
          multiply (multiply ?22 ?23) (multiply ?24 ?22)
          [24, 23, 22] by moufang1 ?22 ?23 ?24
8627: Goal:
8627:  Id :   1, {_}:
          multiply (multiply (multiply a b) c) b
          =>=
          multiply a (multiply b (multiply c b))
          [] by prove_moufang2
% SZS status Timeout for GRP200-1.p
8654: Facts:
8654:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
8654:  Id :   3, {_}: multiply ?4 identity =>= ?4 [4] by right_identity ?4
8654:  Id :   4, {_}:
          multiply ?6 (left_division ?6 ?7) =>= ?7
          [7, 6] by multiply_left_division ?6 ?7
8654:  Id :   5, {_}:
          left_division ?9 (multiply ?9 ?10) =>= ?10
          [10, 9] by left_division_multiply ?9 ?10
8654:  Id :   6, {_}:
          multiply (right_division ?12 ?13) ?13 =>= ?12
          [13, 12] by multiply_right_division ?12 ?13
8654:  Id :   7, {_}:
          right_division (multiply ?15 ?16) ?16 =>= ?15
          [16, 15] by right_division_multiply ?15 ?16
8654:  Id :   8, {_}:
          multiply ?18 (right_inverse ?18) =>= identity
          [18] by right_inverse ?18
8654:  Id :   9, {_}:
          multiply (left_inverse ?20) ?20 =>= identity
          [20] by left_inverse ?20
8654:  Id :  10, {_}:
          multiply (multiply (multiply ?22 ?23) ?24) ?23
          =?=
          multiply ?22 (multiply ?23 (multiply ?24 ?23))
          [24, 23, 22] by moufang2 ?22 ?23 ?24
8654: Goal:
8654:  Id :   1, {_}:
          multiply (multiply (multiply a b) a) c
          =>=
          multiply a (multiply b (multiply a c))
          [] by prove_moufang3
Statistics :
Max weight : 15
Found proof, 28.457404s
% SZS status Unsatisfiable for GRP201-1.p
% SZS output start CNFRefutation for GRP201-1.p
Id :  22, {_}: left_division ?48 (multiply ?48 ?49) =>= ?49 [49, 48] by left_division_multiply ?48 ?49
Id :   8, {_}: multiply ?18 (right_inverse ?18) =>= identity [18] by right_inverse ?18
Id :   6, {_}: multiply (right_division ?12 ?13) ?13 =>= ?12 [13, 12] by multiply_right_division ?12 ?13
Id :   4, {_}: multiply ?6 (left_division ?6 ?7) =>= ?7 [7, 6] by multiply_left_division ?6 ?7
Id :   3, {_}: multiply ?4 identity =>= ?4 [4] by right_identity ?4
Id :   9, {_}: multiply (left_inverse ?20) ?20 =>= identity [20] by left_inverse ?20
Id :  10, {_}: multiply (multiply (multiply ?22 ?23) ?24) ?23 =>= multiply ?22 (multiply ?23 (multiply ?24 ?23)) [24, 23, 22] by moufang2 ?22 ?23 ?24
Id :   7, {_}: right_division (multiply ?15 ?16) ?16 =>= ?15 [16, 15] by right_division_multiply ?15 ?16
Id :   5, {_}: left_division ?9 (multiply ?9 ?10) =>= ?10 [10, 9] by left_division_multiply ?9 ?10
Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
Id :  54, {_}: multiply (multiply (multiply ?119 ?120) ?121) ?120 =>= multiply ?119 (multiply ?120 (multiply ?121 ?120)) [121, 120, 119] by moufang2 ?119 ?120 ?121
Id :  55, {_}: multiply (multiply ?123 ?124) ?123 =<= multiply identity (multiply ?123 (multiply ?124 ?123)) [124, 123] by Super 54 with 2 at 1,1,2
Id :  71, {_}: multiply (multiply ?123 ?124) ?123 =>= multiply ?123 (multiply ?124 ?123) [124, 123] by Demod 55 with 2 at 3
Id : 481, {_}: right_division (multiply ?676 (multiply ?677 (multiply ?678 ?677))) ?677 =>= multiply (multiply ?676 ?677) ?678 [678, 677, 676] by Super 7 with 10 at 1,2
Id : 486, {_}: right_division (multiply ?694 (multiply ?695 identity)) ?695 =>= multiply (multiply ?694 ?695) (left_inverse ?695) [695, 694] by Super 481 with 9 at 2,2,1,2
Id : 510, {_}: right_division (multiply ?694 ?695) ?695 =<= multiply (multiply ?694 ?695) (left_inverse ?695) [695, 694] by Demod 486 with 3 at 2,1,2
Id : 511, {_}: ?694 =<= multiply (multiply ?694 ?695) (left_inverse ?695) [695, 694] by Demod 510 with 7 at 2
Id : 744, {_}: left_division (multiply ?1012 ?1013) ?1012 =>= left_inverse ?1013 [1013, 1012] by Super 5 with 511 at 2,2
Id : 747, {_}: left_division ?1019 ?1020 =<= left_inverse (left_division ?1020 ?1019) [1020, 1019] by Super 744 with 4 at 1,2
Id : 596, {_}: left_division (multiply ?806 ?807) ?806 =>= left_inverse ?807 [807, 806] by Super 5 with 511 at 2,2
Id : 604, {_}: ?834 =<= multiply (multiply ?834 ?835) (left_inverse ?835) [835, 834] by Demod 510 with 7 at 2
Id : 610, {_}: right_division ?849 ?850 =<= multiply ?849 (left_inverse ?850) [850, 849] by Super 604 with 6 at 1,3
Id : 691, {_}: right_division (multiply (left_inverse ?967) ?968) ?967 =<= multiply (left_inverse ?967) (multiply ?968 (left_inverse ?967)) [968, 967] by Super 71 with 610 at 2
Id : 708, {_}: right_division (multiply (left_inverse ?967) ?968) ?967 =<= multiply (left_inverse ?967) (right_division ?968 ?967) [968, 967] by Demod 691 with 610 at 2,3
Id : 241, {_}: right_division (multiply ?328 (multiply ?329 ?328)) ?328 =>= multiply ?328 ?329 [329, 328] by Super 7 with 71 at 1,2
Id : 1672, {_}: right_division (multiply (left_inverse ?2005) (multiply ?2005 (multiply ?2006 ?2005))) ?2005 =>= multiply (left_inverse ?2005) (multiply ?2005 ?2006) [2006, 2005] by Super 708 with 241 at 2,3
Id :  53, {_}: right_division (multiply ?115 (multiply ?116 (multiply ?117 ?116))) ?116 =>= multiply (multiply ?115 ?116) ?117 [117, 116, 115] by Super 7 with 10 at 1,2
Id : 1711, {_}: multiply (multiply (left_inverse ?2005) ?2005) ?2006 =>= multiply (left_inverse ?2005) (multiply ?2005 ?2006) [2006, 2005] by Demod 1672 with 53 at 2
Id : 1712, {_}: multiply identity ?2006 =<= multiply (left_inverse ?2005) (multiply ?2005 ?2006) [2005, 2006] by Demod 1711 with 9 at 1,2
Id : 1713, {_}: ?2006 =<= multiply (left_inverse ?2005) (multiply ?2005 ?2006) [2005, 2006] by Demod 1712 with 2 at 2
Id : 2009, {_}: left_division ?2492 (left_inverse ?2493) =>= left_inverse (multiply ?2493 ?2492) [2493, 2492] by Super 596 with 1713 at 1,2
Id : 2109, {_}: left_division (left_inverse ?2600) ?2601 =>= multiply ?2600 ?2601 [2601, 2600] by Super 5 with 1713 at 2,2
Id :  40, {_}: left_division ?91 identity =>= right_inverse ?91 [91] by Super 5 with 8 at 2,2
Id :  28, {_}: left_division (right_division ?62 ?63) ?62 =>= ?63 [63, 62] by Super 5 with 6 at 2,2
Id : 176, {_}: ?256 =<= right_inverse (right_division identity ?256) [256] by Super 40 with 28 at 2
Id :  45, {_}: right_division identity ?99 =>= left_inverse ?99 [99] by Super 7 with 9 at 1,2
Id : 183, {_}: ?256 =<= right_inverse (left_inverse ?256) [256] by Demod 176 with 45 at 1,3
Id : 246, {_}: multiply (multiply ?343 ?344) ?343 =>= multiply ?343 (multiply ?344 ?343) [344, 343] by Demod 55 with 2 at 3
Id : 251, {_}: multiply identity ?356 =<= multiply ?356 (multiply (right_inverse ?356) ?356) [356] by Super 246 with 8 at 1,2
Id : 264, {_}: ?356 =<= multiply ?356 (multiply (right_inverse ?356) ?356) [356] by Demod 251 with 2 at 2
Id : 370, {_}: left_division ?577 ?577 =<= multiply (right_inverse ?577) ?577 [577] by Super 5 with 264 at 2,2
Id :  24, {_}: left_division ?53 ?53 =>= identity [53] by Super 22 with 3 at 2,2
Id : 382, {_}: identity =<= multiply (right_inverse ?577) ?577 [577] by Demod 370 with 24 at 2
Id : 398, {_}: right_division identity ?598 =>= right_inverse ?598 [598] by Super 7 with 382 at 1,2
Id : 416, {_}: left_inverse ?598 =<= right_inverse ?598 [598] by Demod 398 with 45 at 2
Id : 429, {_}: ?256 =<= left_inverse (left_inverse ?256) [256] by Demod 183 with 416 at 3
Id : 2111, {_}: left_division ?2605 ?2606 =<= multiply (left_inverse ?2605) ?2606 [2606, 2605] by Super 2109 with 429 at 1,2
Id : 2210, {_}: multiply (multiply (left_division ?2711 ?2712) ?2713) ?2712 =<= multiply (left_inverse ?2711) (multiply ?2712 (multiply ?2713 ?2712)) [2713, 2712, 2711] by Super 10 with 2111 at 1,1,2
Id : 2277, {_}: multiply (multiply (left_division ?2711 ?2712) ?2713) ?2712 =>= left_division ?2711 (multiply ?2712 (multiply ?2713 ?2712)) [2713, 2712, 2711] by Demod 2210 with 2111 at 3
Id : 2112, {_}: left_division (left_division ?2608 ?2609) ?2610 =<= multiply (left_division ?2609 ?2608) ?2610 [2610, 2609, 2608] by Super 2109 with 747 at 1,2
Id : 6527, {_}: multiply (left_division (left_division ?2712 ?2711) ?2713) ?2712 =>= left_division ?2711 (multiply ?2712 (multiply ?2713 ?2712)) [2713, 2711, 2712] by Demod 2277 with 2112 at 1,2
Id : 6528, {_}: left_division (left_division ?2713 (left_division ?2712 ?2711)) ?2712 =>= left_division ?2711 (multiply ?2712 (multiply ?2713 ?2712)) [2711, 2712, 2713] by Demod 6527 with 2112 at 2
Id : 6539, {_}: left_division ?7196 (multiply (left_inverse ?7197) (multiply ?7198 (left_inverse ?7197))) =>= left_inverse (multiply ?7197 (left_division ?7198 (left_division (left_inverse ?7197) ?7196))) [7198, 7197, 7196] by Super 2009 with 6528 at 2
Id : 6592, {_}: left_division ?7196 (left_division ?7197 (multiply ?7198 (left_inverse ?7197))) =<= left_inverse (multiply ?7197 (left_division ?7198 (left_division (left_inverse ?7197) ?7196))) [7198, 7197, 7196] by Demod 6539 with 2111 at 2,2
Id : 770, {_}: right_division ?1046 (left_division ?1047 ?1048) =<= multiply ?1046 (left_division ?1048 ?1047) [1048, 1047, 1046] by Super 610 with 747 at 2,3
Id : 6593, {_}: left_division ?7196 (left_division ?7197 (multiply ?7198 (left_inverse ?7197))) =<= left_inverse (right_division ?7197 (left_division (left_division (left_inverse ?7197) ?7196) ?7198)) [7198, 7197, 7196] by Demod 6592 with 770 at 1,3
Id : 6594, {_}: left_division ?7196 (left_division ?7197 (right_division ?7198 ?7197)) =<= left_inverse (right_division ?7197 (left_division (left_division (left_inverse ?7197) ?7196) ?7198)) [7198, 7197, 7196] by Demod 6593 with 610 at 2,2,2
Id : 2005, {_}: left_division (left_inverse ?2480) ?2481 =>= multiply ?2480 ?2481 [2481, 2480] by Super 5 with 1713 at 2,2
Id : 2151, {_}: left_inverse (multiply ?2655 (left_inverse ?2656)) =>= multiply ?2656 (left_inverse ?2655) [2656, 2655] by Super 2005 with 2009 at 2
Id : 2162, {_}: left_inverse (right_division ?2655 ?2656) =<= multiply ?2656 (left_inverse ?2655) [2656, 2655] by Demod 2151 with 610 at 1,2
Id : 2163, {_}: left_inverse (right_division ?2655 ?2656) =>= right_division ?2656 ?2655 [2656, 2655] by Demod 2162 with 610 at 3
Id : 6595, {_}: left_division ?7196 (left_division ?7197 (right_division ?7198 ?7197)) =<= right_division (left_division (left_division (left_inverse ?7197) ?7196) ?7198) ?7197 [7198, 7197, 7196] by Demod 6594 with 2163 at 3
Id : 2192, {_}: right_division (left_division ?967 ?968) ?967 =<= multiply (left_inverse ?967) (right_division ?968 ?967) [968, 967] by Demod 708 with 2111 at 1,2
Id : 2193, {_}: right_division (left_division ?967 ?968) ?967 =<= left_division ?967 (right_division ?968 ?967) [968, 967] by Demod 2192 with 2111 at 3
Id : 6596, {_}: left_division ?7196 (right_division (left_division ?7197 ?7198) ?7197) =<= right_division (left_division (left_division (left_inverse ?7197) ?7196) ?7198) ?7197 [7198, 7197, 7196] by Demod 6595 with 2193 at 2,2
Id : 6597, {_}: left_division ?7196 (right_division (left_division ?7197 ?7198) ?7197) =>= right_division (left_division (multiply ?7197 ?7196) ?7198) ?7197 [7198, 7197, 7196] by Demod 6596 with 2005 at 1,1,3
Id : 20877, {_}: left_division (right_division (left_division ?20893 ?20894) ?20893) ?20895 =<= left_inverse (right_division (left_division (multiply ?20893 ?20895) ?20894) ?20893) [20895, 20894, 20893] by Super 747 with 6597 at 1,3
Id : 33499, {_}: left_division (right_division (left_division ?34597 ?34598) ?34597) ?34599 =>= right_division ?34597 (left_division (multiply ?34597 ?34599) ?34598) [34599, 34598, 34597] by Demod 20877 with 2163 at 3
Id : 33508, {_}: left_division (right_division (left_inverse (multiply ?34632 ?34633)) ?34633) ?34634 =>= right_division ?34633 (left_division (multiply ?34633 ?34634) (left_inverse ?34632)) [34634, 34633, 34632] by Super 33499 with 2009 at 1,1,2
Id : 2219, {_}: right_division (left_inverse ?2745) ?2746 =<= left_division ?2745 (left_inverse ?2746) [2746, 2745] by Super 610 with 2111 at 3
Id : 2260, {_}: right_division (left_inverse ?2745) ?2746 =>= left_inverse (multiply ?2746 ?2745) [2746, 2745] by Demod 2219 with 2009 at 3
Id : 33812, {_}: left_division (left_inverse (multiply ?34633 (multiply ?34632 ?34633))) ?34634 =>= right_division ?34633 (left_division (multiply ?34633 ?34634) (left_inverse ?34632)) [34634, 34632, 34633] by Demod 33508 with 2260 at 1,2
Id : 33813, {_}: left_division (left_inverse (multiply ?34633 (multiply ?34632 ?34633))) ?34634 =>= right_division ?34633 (left_inverse (multiply ?34632 (multiply ?34633 ?34634))) [34634, 34632, 34633] by Demod 33812 with 2009 at 2,3
Id : 33814, {_}: multiply (multiply ?34633 (multiply ?34632 ?34633)) ?34634 =<= right_division ?34633 (left_inverse (multiply ?34632 (multiply ?34633 ?34634))) [34634, 34632, 34633] by Demod 33813 with 2005 at 2
Id : 595, {_}: right_division ?803 (left_inverse ?804) =>= multiply ?803 ?804 [804, 803] by Super 7 with 511 at 1,2
Id : 33815, {_}: multiply (multiply ?34633 (multiply ?34632 ?34633)) ?34634 =>= multiply ?34633 (multiply ?34632 (multiply ?34633 ?34634)) [34634, 34632, 34633] by Demod 33814 with 595 at 3
Id : 45208, {_}: multiply a (multiply b (multiply a c)) =?= multiply a (multiply b (multiply a c)) [] by Demod 45207 with 33815 at 2
Id : 45207, {_}: multiply (multiply a (multiply b a)) c =>= multiply a (multiply b (multiply a c)) [] by Demod 1 with 71 at 1,2
Id :   1, {_}: multiply (multiply (multiply a b) a) c =>= multiply a (multiply b (multiply a c)) [] by prove_moufang3
% SZS output end CNFRefutation for GRP201-1.p
8655: solved GRP201-1.p in 7.072442 using kbo
!! infer_left                                     350    0.0004    0.0000    0.0000
!! infer_right                                    187   24.3759    0.7782    0.1304
!! simplify_goal                                  350    0.4988    0.4442    0.0014
!! keep_simplified                                535    3.1571    0.3144    0.0059
!! simplification_step                            615    3.1552    0.3097    0.0051
!! simplify                                     29430   23.5363    0.3066    0.0008
!! orphan_murder                                  547    0.3326    0.3004    0.0006
!! is_subsumed                                  25977    2.1995    0.3004    0.0001
!! build_new_clause                             12393    2.7399    0.3009    0.0002
!! demodulate                                   29460   20.8291    0.4442    0.0007
!! demod                                       292448   14.8706    0.4441    0.0001
!! demod.apply_subst                            68770    0.4728    0.3001    0.0000
!! demod.compare_terms                           1484    0.3060    0.3001    0.0002
!! demod.retrieve_generalizations              292448    3.9073    0.4441    0.0000
!! demod.unify                                 463590    5.1533    0.3047    0.0000
!! build_clause                                 45294    5.4325    0.3009    0.0001
!! compare_terms(kbo)                           46812    2.7476    0.3008    0.0001
!! compare_terms(nrkbo)                            10    0.0001    0.0000    0.0000
8677: Facts:
8677:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
8677:  Id :   3, {_}: multiply ?4 identity =>= ?4 [4] by right_identity ?4
8677:  Id :   4, {_}:
          multiply ?6 (left_division ?6 ?7) =>= ?7
          [7, 6] by multiply_left_division ?6 ?7
8677:  Id :   5, {_}:
          left_division ?9 (multiply ?9 ?10) =>= ?10
          [10, 9] by left_division_multiply ?9 ?10
8677:  Id :   6, {_}:
          multiply (right_division ?12 ?13) ?13 =>= ?12
          [13, 12] by multiply_right_division ?12 ?13
8677:  Id :   7, {_}:
          right_division (multiply ?15 ?16) ?16 =>= ?15
          [16, 15] by right_division_multiply ?15 ?16
8677:  Id :   8, {_}:
          multiply ?18 (right_inverse ?18) =>= identity
          [18] by right_inverse ?18
8677:  Id :   9, {_}:
          multiply (left_inverse ?20) ?20 =>= identity
          [20] by left_inverse ?20
8677:  Id :  10, {_}:
          multiply (multiply (multiply ?22 ?23) ?22) ?24
          =?=
          multiply ?22 (multiply ?23 (multiply ?22 ?24))
          [24, 23, 22] by moufang3 ?22 ?23 ?24
8677: Goal:
8677:  Id :   1, {_}:
          multiply (multiply a (multiply b c)) a
          =>=
          multiply (multiply a b) (multiply c a)
          [] by prove_moufang1
Statistics :
Max weight : 20
Found proof, 35.548526s
% SZS status Unsatisfiable for GRP202-1.p
% SZS output start CNFRefutation for GRP202-1.p
Id :  56, {_}: multiply (multiply (multiply ?126 ?127) ?126) ?128 =>= multiply ?126 (multiply ?127 (multiply ?126 ?128)) [128, 127, 126] by moufang3 ?126 ?127 ?128
Id :   4, {_}: multiply ?6 (left_division ?6 ?7) =>= ?7 [7, 6] by multiply_left_division ?6 ?7
Id :   5, {_}: left_division ?9 (multiply ?9 ?10) =>= ?10 [10, 9] by left_division_multiply ?9 ?10
Id :   9, {_}: multiply (left_inverse ?20) ?20 =>= identity [20] by left_inverse ?20
Id :   8, {_}: multiply ?18 (right_inverse ?18) =>= identity [18] by right_inverse ?18
Id :   6, {_}: multiply (right_division ?12 ?13) ?13 =>= ?12 [13, 12] by multiply_right_division ?12 ?13
Id :   7, {_}: right_division (multiply ?15 ?16) ?16 =>= ?15 [16, 15] by right_division_multiply ?15 ?16
Id :  10, {_}: multiply (multiply (multiply ?22 ?23) ?22) ?24 =>= multiply ?22 (multiply ?23 (multiply ?22 ?24)) [24, 23, 22] by moufang3 ?22 ?23 ?24
Id :   3, {_}: multiply ?4 identity =>= ?4 [4] by right_identity ?4
Id :  53, {_}: multiply ?115 (multiply ?116 (multiply ?115 identity)) =>= multiply (multiply ?115 ?116) ?115 [116, 115] by Super 3 with 10 at 2
Id :  70, {_}: multiply ?115 (multiply ?116 ?115) =<= multiply (multiply ?115 ?116) ?115 [116, 115] by Demod 53 with 3 at 2,2,2
Id : 564, {_}: right_division (multiply ?710 (multiply ?711 ?710)) ?710 =>= multiply ?710 ?711 [711, 710] by Super 7 with 70 at 1,2
Id : 568, {_}: right_division (multiply ?720 ?721) ?720 =<= multiply ?720 (right_division ?721 ?720) [721, 720] by Super 564 with 6 at 2,1,2
Id :  55, {_}: right_division (multiply ?122 (multiply ?123 (multiply ?122 ?124))) ?124 =>= multiply (multiply ?122 ?123) ?122 [124, 123, 122] by Super 7 with 10 at 1,2
Id : 1875, {_}: right_division (multiply ?2527 (multiply ?2528 (multiply ?2527 ?2529))) ?2529 =>= multiply ?2527 (multiply ?2528 ?2527) [2529, 2528, 2527] by Demod 55 with 70 at 3
Id :  51, {_}: multiply ?108 (multiply ?109 (multiply ?108 (right_inverse (multiply (multiply ?108 ?109) ?108)))) =>= identity [109, 108] by Super 8 with 10 at 2
Id : 282, {_}: multiply ?401 (multiply ?402 (multiply ?401 (right_inverse (multiply ?401 (multiply ?402 ?401))))) =>= identity [402, 401] by Demod 51 with 70 at 1,2,2,2,2
Id : 287, {_}: multiply (right_inverse ?414) (multiply ?414 (multiply (right_inverse ?414) (right_inverse (multiply (right_inverse ?414) identity)))) =>= identity [414] by Super 282 with 8 at 2,1,2,2,2,2
Id : 316, {_}: multiply (right_inverse ?414) (multiply ?414 (multiply (right_inverse ?414) (right_inverse (right_inverse ?414)))) =>= identity [414] by Demod 287 with 3 at 1,2,2,2,2
Id : 317, {_}: multiply (right_inverse ?414) (multiply ?414 identity) =>= identity [414] by Demod 316 with 8 at 2,2,2
Id : 318, {_}: multiply (right_inverse ?414) ?414 =>= identity [414] by Demod 317 with 3 at 2,2
Id : 347, {_}: right_division identity ?453 =>= right_inverse ?453 [453] by Super 7 with 318 at 1,2
Id :  45, {_}: right_division identity ?99 =>= left_inverse ?99 [99] by Super 7 with 9 at 1,2
Id : 368, {_}: left_inverse ?453 =<= right_inverse ?453 [453] by Demod 347 with 45 at 2
Id : 374, {_}: multiply ?18 (left_inverse ?18) =>= identity [18] by Demod 8 with 368 at 2,2
Id : 1881, {_}: right_division (multiply ?2550 (multiply ?2551 identity)) (left_inverse ?2550) =>= multiply ?2550 (multiply ?2551 ?2550) [2551, 2550] by Super 1875 with 374 at 2,2,1,2
Id : 1928, {_}: right_division (multiply ?2550 ?2551) (left_inverse ?2550) =>= multiply ?2550 (multiply ?2551 ?2550) [2551, 2550] by Demod 1881 with 3 at 2,1,2
Id : 2110, {_}: right_division (multiply (left_inverse ?2786) (multiply ?2786 ?2787)) (left_inverse ?2786) =>= multiply (left_inverse ?2786) (multiply ?2786 (multiply ?2787 ?2786)) [2787, 2786] by Super 568 with 1928 at 2,3
Id :  52, {_}: multiply ?111 (multiply ?112 (multiply ?111 (left_division (multiply (multiply ?111 ?112) ?111) ?113))) =>= ?113 [113, 112, 111] by Super 4 with 10 at 2
Id : 617, {_}: multiply ?798 (multiply ?799 (multiply ?798 (left_division (multiply ?798 (multiply ?799 ?798)) ?800))) =>= ?800 [800, 799, 798] by Demod 52 with 70 at 1,2,2,2,2
Id : 622, {_}: multiply ?816 (multiply (left_inverse ?816) (multiply ?816 (left_division (multiply ?816 identity) ?817))) =>= ?817 [817, 816] by Super 617 with 9 at 2,1,2,2,2,2
Id : 659, {_}: multiply ?816 (multiply (left_inverse ?816) (multiply ?816 (left_division ?816 ?817))) =>= ?817 [817, 816] by Demod 622 with 3 at 1,2,2,2,2
Id : 660, {_}: multiply ?816 (multiply (left_inverse ?816) ?817) =>= ?817 [817, 816] by Demod 659 with 4 at 2,2,2
Id : 754, {_}: left_division ?1007 ?1008 =<= multiply (left_inverse ?1007) ?1008 [1008, 1007] by Super 5 with 660 at 2,2
Id : 2138, {_}: right_division (left_division ?2786 (multiply ?2786 ?2787)) (left_inverse ?2786) =<= multiply (left_inverse ?2786) (multiply ?2786 (multiply ?2787 ?2786)) [2787, 2786] by Demod 2110 with 754 at 1,2
Id : 2139, {_}: right_division (left_division ?2786 (multiply ?2786 ?2787)) (left_inverse ?2786) =>= left_division ?2786 (multiply ?2786 (multiply ?2787 ?2786)) [2787, 2786] by Demod 2138 with 754 at 3
Id : 2140, {_}: right_division ?2787 (left_inverse ?2786) =<= left_division ?2786 (multiply ?2786 (multiply ?2787 ?2786)) [2786, 2787] by Demod 2139 with 5 at 1,2
Id : 2141, {_}: right_division ?2787 (left_inverse ?2786) =>= multiply ?2787 ?2786 [2786, 2787] by Demod 2140 with 5 at 3
Id : 926, {_}: right_division (left_division ?1218 ?1219) ?1219 =>= left_inverse ?1218 [1219, 1218] by Super 7 with 754 at 1,2
Id :  28, {_}: left_division (right_division ?62 ?63) ?62 =>= ?63 [63, 62] by Super 5 with 6 at 2,2
Id : 929, {_}: right_division ?1226 ?1227 =<= left_inverse (right_division ?1227 ?1226) [1227, 1226] by Super 926 with 28 at 1,2
Id : 2784, {_}: multiply (multiply ?3616 ?3617) ?3618 =<= multiply ?3617 (multiply (left_division ?3617 ?3616) (multiply ?3617 ?3618)) [3618, 3617, 3616] by Super 56 with 4 at 1,1,2
Id : 2787, {_}: multiply (multiply ?3626 ?3627) (left_division ?3627 ?3628) =>= multiply ?3627 (multiply (left_division ?3627 ?3626) ?3628) [3628, 3627, 3626] by Super 2784 with 4 at 2,2,3
Id : 2209, {_}: right_division (left_inverse ?2889) ?2890 =>= left_inverse (multiply ?2890 ?2889) [2890, 2889] by Super 929 with 2141 at 1,3
Id : 2274, {_}: left_inverse (multiply (left_inverse ?2961) ?2962) =>= multiply (left_inverse ?2962) ?2961 [2962, 2961] by Super 2141 with 2209 at 2
Id : 2285, {_}: left_inverse (left_division ?2961 ?2962) =<= multiply (left_inverse ?2962) ?2961 [2962, 2961] by Demod 2274 with 754 at 1,2
Id : 2286, {_}: left_inverse (left_division ?2961 ?2962) =>= left_division ?2962 ?2961 [2962, 2961] by Demod 2285 with 754 at 3
Id : 2448, {_}: right_division ?3131 (left_division ?3132 ?3133) =<= multiply ?3131 (left_division ?3133 ?3132) [3133, 3132, 3131] by Super 2141 with 2286 at 2,2
Id : 7771, {_}: right_division (multiply ?3626 ?3627) (left_division ?3628 ?3627) =<= multiply ?3627 (multiply (left_division ?3627 ?3626) ?3628) [3628, 3627, 3626] by Demod 2787 with 2448 at 2
Id : 762, {_}: multiply ?1028 (multiply (left_inverse ?1028) ?1029) =>= ?1029 [1029, 1028] by Demod 659 with 4 at 2,2,2
Id : 766, {_}: multiply ?1038 ?1039 =<= left_division (left_inverse ?1038) ?1039 [1039, 1038] by Super 762 with 4 at 2,2
Id : 2444, {_}: multiply (left_division ?3117 ?3118) ?3119 =>= left_division (left_division ?3118 ?3117) ?3119 [3119, 3118, 3117] by Super 766 with 2286 at 1,3
Id : 7772, {_}: right_division (multiply ?3626 ?3627) (left_division ?3628 ?3627) =<= multiply ?3627 (left_division (left_division ?3626 ?3627) ?3628) [3628, 3627, 3626] by Demod 7771 with 2444 at 2,3
Id : 7773, {_}: right_division (multiply ?3626 ?3627) (left_division ?3628 ?3627) =>= right_division ?3627 (left_division ?3628 (left_division ?3626 ?3627)) [3628, 3627, 3626] by Demod 7772 with 2448 at 3
Id : 7786, {_}: right_division (left_division ?8594 ?8595) (multiply ?8596 ?8595) =<= left_inverse (right_division ?8595 (left_division ?8594 (left_division ?8596 ?8595))) [8596, 8595, 8594] by Super 929 with 7773 at 1,3
Id : 7840, {_}: right_division (left_division ?8594 ?8595) (multiply ?8596 ?8595) =<= right_division (left_division ?8594 (left_division ?8596 ?8595)) ?8595 [8596, 8595, 8594] by Demod 7786 with 929 at 3
Id : 21080, {_}: right_division (left_division ?21081 (left_inverse ?21082)) (multiply ?21083 (left_inverse ?21082)) =>= multiply (left_division ?21081 (left_division ?21083 (left_inverse ?21082))) ?21082 [21083, 21082, 21081] by Super 2141 with 7840 at 2
Id : 2213, {_}: right_division ?2901 (left_inverse ?2902) =>= multiply ?2901 ?2902 [2902, 2901] by Demod 2140 with 5 at 3
Id :  40, {_}: left_division ?91 identity =>= right_inverse ?91 [91] by Super 5 with 8 at 2,2
Id : 177, {_}: ?263 =<= right_inverse (right_division identity ?263) [263] by Super 40 with 28 at 2
Id : 184, {_}: ?263 =<= right_inverse (left_inverse ?263) [263] by Demod 177 with 45 at 1,3
Id : 377, {_}: ?263 =<= left_inverse (left_inverse ?263) [263] by Demod 184 with 368 at 3
Id : 2215, {_}: right_division ?2906 ?2907 =<= multiply ?2906 (left_inverse ?2907) [2907, 2906] by Super 2213 with 377 at 2,2
Id : 2318, {_}: left_division ?3010 (left_inverse ?3011) =>= right_division (left_inverse ?3010) ?3011 [3011, 3010] by Super 754 with 2215 at 3
Id : 2409, {_}: left_division ?3010 (left_inverse ?3011) =>= left_inverse (multiply ?3011 ?3010) [3011, 3010] by Demod 2318 with 2209 at 3
Id : 21195, {_}: right_division (left_inverse (multiply ?21082 ?21081)) (multiply ?21083 (left_inverse ?21082)) =>= multiply (left_division ?21081 (left_division ?21083 (left_inverse ?21082))) ?21082 [21083, 21081, 21082] by Demod 21080 with 2409 at 1,2
Id : 21196, {_}: right_division (left_inverse (multiply ?21082 ?21081)) (right_division ?21083 ?21082) =<= multiply (left_division ?21081 (left_division ?21083 (left_inverse ?21082))) ?21082 [21083, 21081, 21082] by Demod 21195 with 2215 at 2,2
Id : 21197, {_}: right_division (left_inverse (multiply ?21082 ?21081)) (right_division ?21083 ?21082) =<= left_division (left_division (left_division ?21083 (left_inverse ?21082)) ?21081) ?21082 [21083, 21081, 21082] by Demod 21196 with 2444 at 3
Id : 21198, {_}: left_inverse (multiply (right_division ?21083 ?21082) (multiply ?21082 ?21081)) =<= left_division (left_division (left_division ?21083 (left_inverse ?21082)) ?21081) ?21082 [21081, 21082, 21083] by Demod 21197 with 2209 at 2
Id : 21199, {_}: left_inverse (multiply (right_division ?21083 ?21082) (multiply ?21082 ?21081)) =<= left_division (left_division (left_inverse (multiply ?21082 ?21083)) ?21081) ?21082 [21081, 21082, 21083] by Demod 21198 with 2409 at 1,1,3
Id : 947, {_}: multiply (right_division ?1240 ?1241) ?1242 =>= left_division (right_division ?1241 ?1240) ?1242 [1242, 1241, 1240] by Super 766 with 929 at 1,3
Id : 21200, {_}: left_inverse (left_division (right_division ?21082 ?21083) (multiply ?21082 ?21081)) =<= left_division (left_division (left_inverse (multiply ?21082 ?21083)) ?21081) ?21082 [21081, 21083, 21082] by Demod 21199 with 947 at 1,2
Id : 21201, {_}: left_inverse (left_division (right_division ?21082 ?21083) (multiply ?21082 ?21081)) =>= left_division (multiply (multiply ?21082 ?21083) ?21081) ?21082 [21081, 21083, 21082] by Demod 21200 with 766 at 1,3
Id : 33625, {_}: left_division (multiply ?32560 ?32561) (right_division ?32560 ?32562) =<= left_division (multiply (multiply ?32560 ?32562) ?32561) ?32560 [32562, 32561, 32560] by Demod 21201 with 2286 at 2
Id : 33639, {_}: left_division (multiply ?32621 ?32622) (right_division ?32621 (left_inverse ?32623)) =>= left_division (multiply (right_division ?32621 ?32623) ?32622) ?32621 [32623, 32622, 32621] by Super 33625 with 2215 at 1,1,3
Id : 33841, {_}: left_division (multiply ?32621 ?32622) (multiply ?32621 ?32623) =<= left_division (multiply (right_division ?32621 ?32623) ?32622) ?32621 [32623, 32622, 32621] by Demod 33639 with 2141 at 2,2
Id : 33842, {_}: left_division (multiply ?32621 ?32622) (multiply ?32621 ?32623) =<= left_division (left_division (right_division ?32623 ?32621) ?32622) ?32621 [32623, 32622, 32621] by Demod 33841 with 947 at 1,3
Id : 7794, {_}: right_division (multiply ?8626 ?8627) (left_division ?8628 ?8627) =>= right_division ?8627 (left_division ?8628 (left_division ?8626 ?8627)) [8628, 8627, 8626] by Demod 7772 with 2448 at 3
Id : 7805, {_}: right_division (multiply ?8669 (left_inverse ?8670)) (left_inverse (multiply ?8670 ?8671)) =>= right_division (left_inverse ?8670) (left_division ?8671 (left_division ?8669 (left_inverse ?8670))) [8671, 8670, 8669] by Super 7794 with 2409 at 2,2
Id : 7868, {_}: multiply (multiply ?8669 (left_inverse ?8670)) (multiply ?8670 ?8671) =<= right_division (left_inverse ?8670) (left_division ?8671 (left_division ?8669 (left_inverse ?8670))) [8671, 8670, 8669] by Demod 7805 with 2141 at 2
Id : 7869, {_}: multiply (multiply ?8669 (left_inverse ?8670)) (multiply ?8670 ?8671) =<= left_inverse (multiply (left_division ?8671 (left_division ?8669 (left_inverse ?8670))) ?8670) [8671, 8670, 8669] by Demod 7868 with 2209 at 3
Id : 7870, {_}: multiply (right_division ?8669 ?8670) (multiply ?8670 ?8671) =<= left_inverse (multiply (left_division ?8671 (left_division ?8669 (left_inverse ?8670))) ?8670) [8671, 8670, 8669] by Demod 7869 with 2215 at 1,2
Id : 7871, {_}: multiply (right_division ?8669 ?8670) (multiply ?8670 ?8671) =<= left_inverse (left_division (left_division (left_division ?8669 (left_inverse ?8670)) ?8671) ?8670) [8671, 8670, 8669] by Demod 7870 with 2444 at 1,3
Id : 7872, {_}: left_division (right_division ?8670 ?8669) (multiply ?8670 ?8671) =<= left_inverse (left_division (left_division (left_division ?8669 (left_inverse ?8670)) ?8671) ?8670) [8671, 8669, 8670] by Demod 7871 with 947 at 2
Id : 7873, {_}: left_division (right_division ?8670 ?8669) (multiply ?8670 ?8671) =<= left_division ?8670 (left_division (left_division ?8669 (left_inverse ?8670)) ?8671) [8671, 8669, 8670] by Demod 7872 with 2286 at 3
Id : 7874, {_}: left_division (right_division ?8670 ?8669) (multiply ?8670 ?8671) =<= left_division ?8670 (left_division (left_inverse (multiply ?8670 ?8669)) ?8671) [8671, 8669, 8670] by Demod 7873 with 2409 at 1,2,3
Id : 21410, {_}: left_division (right_division ?21608 ?21609) (multiply ?21608 ?21610) =>= left_division ?21608 (multiply (multiply ?21608 ?21609) ?21610) [21610, 21609, 21608] by Demod 7874 with 766 at 2,3
Id : 21443, {_}: left_division (multiply ?21745 ?21746) (multiply ?21745 ?21747) =<= left_division ?21745 (multiply (multiply ?21745 (left_inverse ?21746)) ?21747) [21747, 21746, 21745] by Super 21410 with 2141 at 1,2
Id : 21647, {_}: left_division (multiply ?21745 ?21746) (multiply ?21745 ?21747) =>= left_division ?21745 (multiply (right_division ?21745 ?21746) ?21747) [21747, 21746, 21745] by Demod 21443 with 2215 at 1,2,3
Id : 21648, {_}: left_division (multiply ?21745 ?21746) (multiply ?21745 ?21747) =>= left_division ?21745 (left_division (right_division ?21746 ?21745) ?21747) [21747, 21746, 21745] by Demod 21647 with 947 at 2,3
Id : 43757, {_}: left_division ?42768 (left_division (right_division ?42769 ?42768) ?42770) =<= left_division (left_division (right_division ?42770 ?42768) ?42769) ?42768 [42770, 42769, 42768] by Demod 33842 with 21648 at 2
Id : 835, {_}: multiply (left_inverse ?1117) (multiply ?1118 (left_inverse ?1117)) =>= multiply (left_division ?1117 ?1118) (left_inverse ?1117) [1118, 1117] by Super 70 with 754 at 1,3
Id : 865, {_}: left_division ?1117 (multiply ?1118 (left_inverse ?1117)) =<= multiply (left_division ?1117 ?1118) (left_inverse ?1117) [1118, 1117] by Demod 835 with 754 at 2
Id : 2305, {_}: left_division ?1117 (right_division ?1118 ?1117) =<= multiply (left_division ?1117 ?1118) (left_inverse ?1117) [1118, 1117] by Demod 865 with 2215 at 2,2
Id : 2306, {_}: left_division ?1117 (right_division ?1118 ?1117) =>= right_division (left_division ?1117 ?1118) ?1117 [1118, 1117] by Demod 2305 with 2215 at 3
Id : 43818, {_}: left_division ?43029 (left_division (right_division (right_division ?43030 (right_division ?43031 ?43029)) ?43029) ?43031) =<= left_division (right_division (left_division (right_division ?43031 ?43029) ?43030) (right_division ?43031 ?43029)) ?43029 [43031, 43030, 43029] by Super 43757 with 2306 at 1,3
Id :  59, {_}: multiply (multiply ?136 ?137) ?138 =<= multiply ?137 (multiply (left_division ?137 ?136) (multiply ?137 ?138)) [138, 137, 136] by Super 56 with 4 at 1,1,2
Id : 2770, {_}: left_division ?3557 (multiply (multiply ?3558 ?3557) ?3559) =<= multiply (left_division ?3557 ?3558) (multiply ?3557 ?3559) [3559, 3558, 3557] by Super 5 with 59 at 2,2
Id : 7583, {_}: left_division ?3557 (multiply (multiply ?3558 ?3557) ?3559) =<= left_division (left_division ?3558 ?3557) (multiply ?3557 ?3559) [3559, 3558, 3557] by Demod 2770 with 2444 at 3
Id : 7593, {_}: left_inverse (left_division ?8344 (multiply (multiply ?8345 ?8344) ?8346)) =>= left_division (multiply ?8344 ?8346) (left_division ?8345 ?8344) [8346, 8345, 8344] by Super 2286 with 7583 at 1,2
Id : 7653, {_}: left_division (multiply (multiply ?8345 ?8344) ?8346) ?8344 =>= left_division (multiply ?8344 ?8346) (left_division ?8345 ?8344) [8346, 8344, 8345] by Demod 7593 with 2286 at 2
Id : 20040, {_}: left_division (multiply (left_inverse ?19613) ?19614) (left_division ?19615 (left_inverse ?19613)) =>= left_inverse (multiply ?19613 (multiply (multiply ?19615 (left_inverse ?19613)) ?19614)) [19615, 19614, 19613] by Super 2409 with 7653 at 2
Id : 20121, {_}: left_division (left_division ?19613 ?19614) (left_division ?19615 (left_inverse ?19613)) =<= left_inverse (multiply ?19613 (multiply (multiply ?19615 (left_inverse ?19613)) ?19614)) [19615, 19614, 19613] by Demod 20040 with 754 at 1,2
Id : 20122, {_}: left_division (left_division ?19613 ?19614) (left_inverse (multiply ?19613 ?19615)) =<= left_inverse (multiply ?19613 (multiply (multiply ?19615 (left_inverse ?19613)) ?19614)) [19615, 19614, 19613] by Demod 20121 with 2409 at 2,2
Id : 20123, {_}: left_division (left_division ?19613 ?19614) (left_inverse (multiply ?19613 ?19615)) =>= left_inverse (multiply ?19613 (multiply (right_division ?19615 ?19613) ?19614)) [19615, 19614, 19613] by Demod 20122 with 2215 at 1,2,1,3
Id : 20124, {_}: left_inverse (multiply (multiply ?19613 ?19615) (left_division ?19613 ?19614)) =>= left_inverse (multiply ?19613 (multiply (right_division ?19615 ?19613) ?19614)) [19614, 19615, 19613] by Demod 20123 with 2409 at 2
Id : 20125, {_}: left_inverse (multiply (multiply ?19613 ?19615) (left_division ?19613 ?19614)) =>= left_inverse (multiply ?19613 (left_division (right_division ?19613 ?19615) ?19614)) [19614, 19615, 19613] by Demod 20124 with 947 at 2,1,3
Id : 20126, {_}: left_inverse (right_division (multiply ?19613 ?19615) (left_division ?19614 ?19613)) =<= left_inverse (multiply ?19613 (left_division (right_division ?19613 ?19615) ?19614)) [19614, 19615, 19613] by Demod 20125 with 2448 at 1,2
Id : 20127, {_}: left_inverse (right_division (multiply ?19613 ?19615) (left_division ?19614 ?19613)) =>= left_inverse (right_division ?19613 (left_division ?19614 (right_division ?19613 ?19615))) [19614, 19615, 19613] by Demod 20126 with 2448 at 1,3
Id : 20128, {_}: right_division (left_division ?19614 ?19613) (multiply ?19613 ?19615) =<= left_inverse (right_division ?19613 (left_division ?19614 (right_division ?19613 ?19615))) [19615, 19613, 19614] by Demod 20127 with 929 at 2
Id : 29866, {_}: right_division (left_division ?28549 ?28550) (multiply ?28550 ?28551) =<= right_division (left_division ?28549 (right_division ?28550 ?28551)) ?28550 [28551, 28550, 28549] by Demod 20128 with 929 at 3
Id : 29938, {_}: right_division (left_division (left_inverse ?28848) ?28849) (multiply ?28849 ?28850) =>= right_division (multiply ?28848 (right_division ?28849 ?28850)) ?28849 [28850, 28849, 28848] by Super 29866 with 766 at 1,3
Id : 30204, {_}: right_division (multiply ?28848 ?28849) (multiply ?28849 ?28850) =<= right_division (multiply ?28848 (right_division ?28849 ?28850)) ?28849 [28850, 28849, 28848] by Demod 29938 with 766 at 1,2
Id : 2216, {_}: right_division ?2909 (right_division ?2910 ?2911) =<= multiply ?2909 (right_division ?2911 ?2910) [2911, 2910, 2909] by Super 2213 with 929 at 2,2
Id : 30205, {_}: right_division (multiply ?28848 ?28849) (multiply ?28849 ?28850) =<= right_division (right_division ?28848 (right_division ?28850 ?28849)) ?28849 [28850, 28849, 28848] by Demod 30204 with 2216 at 1,3
Id : 44174, {_}: left_division ?43029 (left_division (right_division (multiply ?43030 ?43029) (multiply ?43029 ?43031)) ?43031) =<= left_division (right_division (left_division (right_division ?43031 ?43029) ?43030) (right_division ?43031 ?43029)) ?43029 [43031, 43030, 43029] by Demod 43818 with 30205 at 1,2,2
Id : 242, {_}: multiply (multiply ?22 (multiply ?23 ?22)) ?24 =>= multiply ?22 (multiply ?23 (multiply ?22 ?24)) [24, 23, 22] by Demod 10 with 70 at 1,2
Id : 833, {_}: multiply (multiply ?1109 (left_division ?1110 ?1109)) ?1111 =<= multiply ?1109 (multiply (left_inverse ?1110) (multiply ?1109 ?1111)) [1111, 1110, 1109] by Super 242 with 754 at 2,1,2
Id : 866, {_}: multiply (multiply ?1109 (left_division ?1110 ?1109)) ?1111 =>= multiply ?1109 (left_division ?1110 (multiply ?1109 ?1111)) [1111, 1110, 1109] by Demod 833 with 754 at 2,3
Id : 3970, {_}: multiply (right_division ?1109 (left_division ?1109 ?1110)) ?1111 =>= multiply ?1109 (left_division ?1110 (multiply ?1109 ?1111)) [1111, 1110, 1109] by Demod 866 with 2448 at 1,2
Id : 3971, {_}: multiply (right_division ?1109 (left_division ?1109 ?1110)) ?1111 =>= right_division ?1109 (left_division (multiply ?1109 ?1111) ?1110) [1111, 1110, 1109] by Demod 3970 with 2448 at 3
Id : 3972, {_}: left_division (right_division (left_division ?1109 ?1110) ?1109) ?1111 =>= right_division ?1109 (left_division (multiply ?1109 ?1111) ?1110) [1111, 1110, 1109] by Demod 3971 with 947 at 2
Id : 44175, {_}: left_division ?43029 (left_division (right_division (multiply ?43030 ?43029) (multiply ?43029 ?43031)) ?43031) =>= right_division (right_division ?43031 ?43029) (left_division (multiply (right_division ?43031 ?43029) ?43029) ?43030) [43031, 43030, 43029] by Demod 44174 with 3972 at 3
Id : 2326, {_}: multiply (multiply (left_inverse ?3033) (right_division ?3034 ?3033)) ?3035 =<= multiply (left_inverse ?3033) (multiply ?3034 (multiply (left_inverse ?3033) ?3035)) [3035, 3034, 3033] by Super 242 with 2215 at 2,1,2
Id : 2385, {_}: multiply (left_division ?3033 (right_division ?3034 ?3033)) ?3035 =<= multiply (left_inverse ?3033) (multiply ?3034 (multiply (left_inverse ?3033) ?3035)) [3035, 3034, 3033] by Demod 2326 with 754 at 1,2
Id : 2386, {_}: multiply (left_division ?3033 (right_division ?3034 ?3033)) ?3035 =<= left_division ?3033 (multiply ?3034 (multiply (left_inverse ?3033) ?3035)) [3035, 3034, 3033] by Demod 2385 with 754 at 3
Id : 2387, {_}: multiply (right_division (left_division ?3033 ?3034) ?3033) ?3035 =<= left_division ?3033 (multiply ?3034 (multiply (left_inverse ?3033) ?3035)) [3035, 3034, 3033] by Demod 2386 with 2306 at 1,2
Id : 2388, {_}: multiply (right_division (left_division ?3033 ?3034) ?3033) ?3035 =>= left_division ?3033 (multiply ?3034 (left_division ?3033 ?3035)) [3035, 3034, 3033] by Demod 2387 with 754 at 2,2,3
Id : 2389, {_}: left_division (right_division ?3033 (left_division ?3033 ?3034)) ?3035 =>= left_division ?3033 (multiply ?3034 (left_division ?3033 ?3035)) [3035, 3034, 3033] by Demod 2388 with 947 at 2
Id : 6630, {_}: left_division (right_division ?3033 (left_division ?3033 ?3034)) ?3035 =>= left_division ?3033 (right_division ?3034 (left_division ?3035 ?3033)) [3035, 3034, 3033] by Demod 2389 with 2448 at 2,3
Id : 6649, {_}: left_inverse (left_division ?7225 (right_division ?7226 (left_division ?7227 ?7225))) =>= left_division ?7227 (right_division ?7225 (left_division ?7225 ?7226)) [7227, 7226, 7225] by Super 2286 with 6630 at 1,2
Id : 19005, {_}: left_division (right_division ?18377 (left_division ?18378 ?18379)) ?18379 =>= left_division ?18378 (right_division ?18379 (left_division ?18379 ?18377)) [18379, 18378, 18377] by Demod 6649 with 2286 at 2
Id : 19026, {_}: left_division (right_division ?18462 (multiply ?18463 ?18464)) ?18464 =<= left_division (left_inverse ?18463) (right_division ?18464 (left_division ?18464 ?18462)) [18464, 18463, 18462] by Super 19005 with 766 at 2,1,2
Id : 19232, {_}: left_division (right_division ?18462 (multiply ?18463 ?18464)) ?18464 =<= multiply ?18463 (right_division ?18464 (left_division ?18464 ?18462)) [18464, 18463, 18462] by Demod 19026 with 766 at 3
Id : 19233, {_}: left_division (right_division ?18462 (multiply ?18463 ?18464)) ?18464 =>= right_division ?18463 (right_division (left_division ?18464 ?18462) ?18464) [18464, 18463, 18462] by Demod 19232 with 2216 at 3
Id : 44176, {_}: left_division ?43029 (right_division ?43029 (right_division (left_division ?43031 (multiply ?43030 ?43029)) ?43031)) =>= right_division (right_division ?43031 ?43029) (left_division (multiply (right_division ?43031 ?43029) ?43029) ?43030) [43030, 43031, 43029] by Demod 44175 with 19233 at 2,2
Id : 44177, {_}: left_division ?43029 (right_division ?43029 (right_division (left_division ?43031 (multiply ?43030 ?43029)) ?43031)) =>= right_division (right_division ?43031 ?43029) (left_division (left_division (right_division ?43029 ?43031) ?43029) ?43030) [43030, 43031, 43029] by Demod 44176 with 947 at 1,2,3
Id : 2324, {_}: left_division ?3028 (right_division ?3028 ?3029) =>= left_inverse ?3029 [3029, 3028] by Super 5 with 2215 at 2,2
Id : 44178, {_}: left_inverse (right_division (left_division ?43031 (multiply ?43030 ?43029)) ?43031) =<= right_division (right_division ?43031 ?43029) (left_division (left_division (right_division ?43029 ?43031) ?43029) ?43030) [43029, 43030, 43031] by Demod 44177 with 2324 at 2
Id : 44179, {_}: left_inverse (right_division (left_division ?43031 (multiply ?43030 ?43029)) ?43031) =>= right_division (right_division ?43031 ?43029) (left_division ?43031 ?43030) [43029, 43030, 43031] by Demod 44178 with 28 at 1,2,3
Id : 44180, {_}: right_division ?43031 (left_division ?43031 (multiply ?43030 ?43029)) =<= right_division (right_division ?43031 ?43029) (left_division ?43031 ?43030) [43029, 43030, 43031] by Demod 44179 with 929 at 2
Id : 48135, {_}: right_division (left_division ?47766 ?47767) (right_division ?47766 ?47768) =<= left_inverse (right_division ?47766 (left_division ?47766 (multiply ?47767 ?47768))) [47768, 47767, 47766] by Super 929 with 44180 at 1,3
Id : 48395, {_}: right_division (left_division ?47766 ?47767) (right_division ?47766 ?47768) =<= right_division (left_division ?47766 (multiply ?47767 ?47768)) ?47766 [47768, 47767, 47766] by Demod 48135 with 929 at 3
Id : 50566, {_}: right_division (left_division (left_inverse ?50556) ?50557) (right_division (left_inverse ?50556) ?50558) =>= multiply (left_division (left_inverse ?50556) (multiply ?50557 ?50558)) ?50556 [50558, 50557, 50556] by Super 2141 with 48395 at 2
Id : 50772, {_}: right_division (multiply ?50556 ?50557) (right_division (left_inverse ?50556) ?50558) =<= multiply (left_division (left_inverse ?50556) (multiply ?50557 ?50558)) ?50556 [50558, 50557, 50556] by Demod 50566 with 766 at 1,2
Id : 50773, {_}: right_division (multiply ?50556 ?50557) (left_inverse (multiply ?50558 ?50556)) =<= multiply (left_division (left_inverse ?50556) (multiply ?50557 ?50558)) ?50556 [50558, 50557, 50556] by Demod 50772 with 2209 at 2,2
Id : 50774, {_}: right_division (multiply ?50556 ?50557) (left_inverse (multiply ?50558 ?50556)) =<= left_division (left_division (multiply ?50557 ?50558) (left_inverse ?50556)) ?50556 [50558, 50557, 50556] by Demod 50773 with 2444 at 3
Id : 50775, {_}: multiply (multiply ?50556 ?50557) (multiply ?50558 ?50556) =<= left_division (left_division (multiply ?50557 ?50558) (left_inverse ?50556)) ?50556 [50558, 50557, 50556] by Demod 50774 with 2141 at 2
Id : 50776, {_}: multiply (multiply ?50556 ?50557) (multiply ?50558 ?50556) =<= left_division (left_inverse (multiply ?50556 (multiply ?50557 ?50558))) ?50556 [50558, 50557, 50556] by Demod 50775 with 2409 at 1,3
Id : 50777, {_}: multiply (multiply ?50556 ?50557) (multiply ?50558 ?50556) =<= multiply (multiply ?50556 (multiply ?50557 ?50558)) ?50556 [50558, 50557, 50556] by Demod 50776 with 766 at 3
Id : 50778, {_}: multiply (multiply ?50556 ?50557) (multiply ?50558 ?50556) =>= multiply ?50556 (multiply (multiply ?50557 ?50558) ?50556) [50558, 50557, 50556] by Demod 50777 with 70 at 3
Id : 52410, {_}: multiply a (multiply (multiply b c) a) =?= multiply a (multiply (multiply b c) a) [] by Demod 52409 with 50778 at 3
Id : 52409, {_}: multiply a (multiply (multiply b c) a) =<= multiply (multiply a b) (multiply c a) [] by Demod 1 with 70 at 2
Id :   1, {_}: multiply (multiply a (multiply b c)) a =>= multiply (multiply a b) (multiply c a) [] by prove_moufang1
% SZS output end CNFRefutation for GRP202-1.p
8678: solved GRP202-1.p in 8.532532 using kbo
!! infer_left                                     366    0.0004    0.0000    0.0000
!! infer_right                                    195   32.1163    0.7782    0.1647
!! simplify_goal                                  366    0.3571    0.3004    0.0010
!! keep_simplified                                561    2.9270    0.4005    0.0052
!! simplification_step                            647    2.9248    0.4005    0.0045
!! simplify                                     32671   31.0860    0.6010    0.0010
!! orphan_murder                                  578    0.0389    0.0005    0.0001
!! is_subsumed                                  28740    2.3567    0.4002    0.0001
!! build_new_clause                             13947    3.5511    0.4002    0.0003
!! demodulate                                   32710   28.9728    0.6010    0.0009
!! demod                                       347675   20.9037    0.6005    0.0001
!! demod.apply_subst                            80634    1.3164    0.4007    0.0000
!! demod.compare_terms                           1790    0.0061    0.0003    0.0000
!! demod.retrieve_generalizations              347675    5.9660    0.6005    0.0000
!! demod.unify                                 560999    7.4078    0.4001    0.0000
!! build_clause                                 52474    7.0742    0.4010    0.0001
!! compare_terms(kbo)                           54298    4.8000    0.4009    0.0001
!! compare_terms(nrkbo)                            10    0.0001    0.0000    0.0000
8704: Facts:
8704:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
8704:  Id :   3, {_}:
          multiply (left_inverse ?4) ?4 =>= identity
          [4] by left_inverse ?4
8704:  Id :   4, {_}:
          multiply (multiply ?6 (multiply ?7 ?8)) ?6
          =?=
          multiply (multiply ?6 ?7) (multiply ?8 ?6)
          [8, 7, 6] by moufang1 ?6 ?7 ?8
8704: Goal:
8704:  Id :   1, {_}:
          multiply (multiply (multiply a b) c) b
          =>=
          multiply a (multiply b (multiply c b))
          [] by prove_moufang2
% SZS status Timeout for GRP204-1.p
8733: Facts:
8733:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
8733:  Id :   3, {_}: multiply ?4 identity =>= ?4 [4] by right_identity ?4
8733:  Id :   4, {_}:
          multiply ?6 (left_division ?6 ?7) =>= ?7
          [7, 6] by multiply_left_division ?6 ?7
8733:  Id :   5, {_}:
          left_division ?9 (multiply ?9 ?10) =>= ?10
          [10, 9] by left_division_multiply ?9 ?10
8733:  Id :   6, {_}:
          multiply (right_division ?12 ?13) ?13 =>= ?12
          [13, 12] by multiply_right_division ?12 ?13
8733:  Id :   7, {_}:
          right_division (multiply ?15 ?16) ?16 =>= ?15
          [16, 15] by right_division_multiply ?15 ?16
8733:  Id :   8, {_}:
          multiply ?18 (right_inverse ?18) =>= identity
          [18] by right_inverse ?18
8733:  Id :   9, {_}:
          multiply (left_inverse ?20) ?20 =>= identity
          [20] by left_inverse ?20
8733:  Id :  10, {_}:
          multiply (multiply (multiply ?22 ?23) ?22) ?24
          =?=
          multiply ?22 (multiply ?23 (multiply ?22 ?24))
          [24, 23, 22] by moufang3 ?22 ?23 ?24
8733: Goal:
8733:  Id :   1, {_}:
          multiply x (multiply (multiply y z) x)
          =<=
          multiply (multiply x y) (multiply z x)
          [] by prove_moufang4
Statistics :
Max weight : 20
Found proof, 33.711197s
% SZS status Unsatisfiable for GRP205-1.p
% SZS output start CNFRefutation for GRP205-1.p
Id :  56, {_}: multiply (multiply (multiply ?126 ?127) ?126) ?128 =>= multiply ?126 (multiply ?127 (multiply ?126 ?128)) [128, 127, 126] by moufang3 ?126 ?127 ?128
Id :   4, {_}: multiply ?6 (left_division ?6 ?7) =>= ?7 [7, 6] by multiply_left_division ?6 ?7
Id :   5, {_}: left_division ?9 (multiply ?9 ?10) =>= ?10 [10, 9] by left_division_multiply ?9 ?10
Id :   9, {_}: multiply (left_inverse ?20) ?20 =>= identity [20] by left_inverse ?20
Id :   8, {_}: multiply ?18 (right_inverse ?18) =>= identity [18] by right_inverse ?18
Id :   6, {_}: multiply (right_division ?12 ?13) ?13 =>= ?12 [13, 12] by multiply_right_division ?12 ?13
Id :  10, {_}: multiply (multiply (multiply ?22 ?23) ?22) ?24 =>= multiply ?22 (multiply ?23 (multiply ?22 ?24)) [24, 23, 22] by moufang3 ?22 ?23 ?24
Id :   3, {_}: multiply ?4 identity =>= ?4 [4] by right_identity ?4
Id :   7, {_}: right_division (multiply ?15 ?16) ?16 =>= ?15 [16, 15] by right_division_multiply ?15 ?16
Id :  53, {_}: multiply ?115 (multiply ?116 (multiply ?115 identity)) =>= multiply (multiply ?115 ?116) ?115 [116, 115] by Super 3 with 10 at 2
Id :  70, {_}: multiply ?115 (multiply ?116 ?115) =<= multiply (multiply ?115 ?116) ?115 [116, 115] by Demod 53 with 3 at 2,2,2
Id : 557, {_}: right_division (multiply ?710 (multiply ?711 ?710)) ?710 =>= multiply ?710 ?711 [711, 710] by Super 7 with 70 at 1,2
Id : 561, {_}: right_division (multiply ?720 ?721) ?720 =<= multiply ?720 (right_division ?721 ?720) [721, 720] by Super 557 with 6 at 2,1,2
Id :  55, {_}: right_division (multiply ?122 (multiply ?123 (multiply ?122 ?124))) ?124 =>= multiply (multiply ?122 ?123) ?122 [124, 123, 122] by Super 7 with 10 at 1,2
Id : 1849, {_}: right_division (multiply ?2527 (multiply ?2528 (multiply ?2527 ?2529))) ?2529 =>= multiply ?2527 (multiply ?2528 ?2527) [2529, 2528, 2527] by Demod 55 with 70 at 3
Id :  51, {_}: multiply ?108 (multiply ?109 (multiply ?108 (right_inverse (multiply (multiply ?108 ?109) ?108)))) =>= identity [109, 108] by Super 8 with 10 at 2
Id : 281, {_}: multiply ?401 (multiply ?402 (multiply ?401 (right_inverse (multiply ?401 (multiply ?402 ?401))))) =>= identity [402, 401] by Demod 51 with 70 at 1,2,2,2,2
Id : 286, {_}: multiply (right_inverse ?414) (multiply ?414 (multiply (right_inverse ?414) (right_inverse (multiply (right_inverse ?414) identity)))) =>= identity [414] by Super 281 with 8 at 2,1,2,2,2,2
Id : 315, {_}: multiply (right_inverse ?414) (multiply ?414 (multiply (right_inverse ?414) (right_inverse (right_inverse ?414)))) =>= identity [414] by Demod 286 with 3 at 1,2,2,2,2
Id : 316, {_}: multiply (right_inverse ?414) (multiply ?414 identity) =>= identity [414] by Demod 315 with 8 at 2,2,2
Id : 317, {_}: multiply (right_inverse ?414) ?414 =>= identity [414] by Demod 316 with 3 at 2,2
Id : 345, {_}: right_division identity ?453 =>= right_inverse ?453 [453] by Super 7 with 317 at 1,2
Id :  45, {_}: right_division identity ?99 =>= left_inverse ?99 [99] by Super 7 with 9 at 1,2
Id : 366, {_}: left_inverse ?453 =<= right_inverse ?453 [453] by Demod 345 with 45 at 2
Id : 371, {_}: multiply ?18 (left_inverse ?18) =>= identity [18] by Demod 8 with 366 at 2,2
Id : 1855, {_}: right_division (multiply ?2550 (multiply ?2551 identity)) (left_inverse ?2550) =>= multiply ?2550 (multiply ?2551 ?2550) [2551, 2550] by Super 1849 with 371 at 2,2,1,2
Id : 1902, {_}: right_division (multiply ?2550 ?2551) (left_inverse ?2550) =>= multiply ?2550 (multiply ?2551 ?2550) [2551, 2550] by Demod 1855 with 3 at 2,1,2
Id : 2080, {_}: right_division (multiply (left_inverse ?2786) (multiply ?2786 ?2787)) (left_inverse ?2786) =>= multiply (left_inverse ?2786) (multiply ?2786 (multiply ?2787 ?2786)) [2787, 2786] by Super 561 with 1902 at 2,3
Id :  52, {_}: multiply ?111 (multiply ?112 (multiply ?111 (left_division (multiply (multiply ?111 ?112) ?111) ?113))) =>= ?113 [113, 112, 111] by Super 4 with 10 at 2
Id : 609, {_}: multiply ?798 (multiply ?799 (multiply ?798 (left_division (multiply ?798 (multiply ?799 ?798)) ?800))) =>= ?800 [800, 799, 798] by Demod 52 with 70 at 1,2,2,2,2
Id : 614, {_}: multiply ?816 (multiply (left_inverse ?816) (multiply ?816 (left_division (multiply ?816 identity) ?817))) =>= ?817 [817, 816] by Super 609 with 9 at 2,1,2,2,2,2
Id : 651, {_}: multiply ?816 (multiply (left_inverse ?816) (multiply ?816 (left_division ?816 ?817))) =>= ?817 [817, 816] by Demod 614 with 3 at 1,2,2,2,2
Id : 652, {_}: multiply ?816 (multiply (left_inverse ?816) ?817) =>= ?817 [817, 816] by Demod 651 with 4 at 2,2,2
Id : 744, {_}: left_division ?1007 ?1008 =<= multiply (left_inverse ?1007) ?1008 [1008, 1007] by Super 5 with 652 at 2,2
Id : 2108, {_}: right_division (left_division ?2786 (multiply ?2786 ?2787)) (left_inverse ?2786) =<= multiply (left_inverse ?2786) (multiply ?2786 (multiply ?2787 ?2786)) [2787, 2786] by Demod 2080 with 744 at 1,2
Id : 2109, {_}: right_division (left_division ?2786 (multiply ?2786 ?2787)) (left_inverse ?2786) =>= left_division ?2786 (multiply ?2786 (multiply ?2787 ?2786)) [2787, 2786] by Demod 2108 with 744 at 3
Id : 2110, {_}: right_division ?2787 (left_inverse ?2786) =<= left_division ?2786 (multiply ?2786 (multiply ?2787 ?2786)) [2786, 2787] by Demod 2109 with 5 at 1,2
Id : 2111, {_}: right_division ?2787 (left_inverse ?2786) =>= multiply ?2787 ?2786 [2786, 2787] by Demod 2110 with 5 at 3
Id : 913, {_}: right_division (left_division ?1218 ?1219) ?1219 =>= left_inverse ?1218 [1219, 1218] by Super 7 with 744 at 1,2
Id :  28, {_}: left_division (right_division ?62 ?63) ?62 =>= ?63 [63, 62] by Super 5 with 6 at 2,2
Id : 916, {_}: right_division ?1226 ?1227 =<= left_inverse (right_division ?1227 ?1226) [1227, 1226] by Super 913 with 28 at 1,2
Id : 2746, {_}: multiply (multiply ?3616 ?3617) ?3618 =<= multiply ?3617 (multiply (left_division ?3617 ?3616) (multiply ?3617 ?3618)) [3618, 3617, 3616] by Super 56 with 4 at 1,1,2
Id : 2749, {_}: multiply (multiply ?3626 ?3627) (left_division ?3627 ?3628) =>= multiply ?3627 (multiply (left_division ?3627 ?3626) ?3628) [3628, 3627, 3626] by Super 2746 with 4 at 2,2,3
Id : 2178, {_}: right_division (left_inverse ?2889) ?2890 =>= left_inverse (multiply ?2890 ?2889) [2890, 2889] by Super 916 with 2111 at 1,3
Id : 2242, {_}: left_inverse (multiply (left_inverse ?2961) ?2962) =>= multiply (left_inverse ?2962) ?2961 [2962, 2961] by Super 2111 with 2178 at 2
Id : 2253, {_}: left_inverse (left_division ?2961 ?2962) =<= multiply (left_inverse ?2962) ?2961 [2962, 2961] by Demod 2242 with 744 at 1,2
Id : 2254, {_}: left_inverse (left_division ?2961 ?2962) =>= left_division ?2962 ?2961 [2962, 2961] by Demod 2253 with 744 at 3
Id : 2414, {_}: right_division ?3131 (left_division ?3132 ?3133) =<= multiply ?3131 (left_division ?3133 ?3132) [3133, 3132, 3131] by Super 2111 with 2254 at 2,2
Id : 7703, {_}: right_division (multiply ?3626 ?3627) (left_division ?3628 ?3627) =<= multiply ?3627 (multiply (left_division ?3627 ?3626) ?3628) [3628, 3627, 3626] by Demod 2749 with 2414 at 2
Id : 752, {_}: multiply ?1028 (multiply (left_inverse ?1028) ?1029) =>= ?1029 [1029, 1028] by Demod 651 with 4 at 2,2,2
Id : 756, {_}: multiply ?1038 ?1039 =<= left_division (left_inverse ?1038) ?1039 [1039, 1038] by Super 752 with 4 at 2,2
Id : 2410, {_}: multiply (left_division ?3117 ?3118) ?3119 =>= left_division (left_division ?3118 ?3117) ?3119 [3119, 3118, 3117] by Super 756 with 2254 at 1,3
Id : 7704, {_}: right_division (multiply ?3626 ?3627) (left_division ?3628 ?3627) =<= multiply ?3627 (left_division (left_division ?3626 ?3627) ?3628) [3628, 3627, 3626] by Demod 7703 with 2410 at 2,3
Id : 7705, {_}: right_division (multiply ?3626 ?3627) (left_division ?3628 ?3627) =>= right_division ?3627 (left_division ?3628 (left_division ?3626 ?3627)) [3628, 3627, 3626] by Demod 7704 with 2414 at 3
Id : 7718, {_}: right_division (left_division ?8594 ?8595) (multiply ?8596 ?8595) =<= left_inverse (right_division ?8595 (left_division ?8594 (left_division ?8596 ?8595))) [8596, 8595, 8594] by Super 916 with 7705 at 1,3
Id : 7772, {_}: right_division (left_division ?8594 ?8595) (multiply ?8596 ?8595) =<= right_division (left_division ?8594 (left_division ?8596 ?8595)) ?8595 [8596, 8595, 8594] by Demod 7718 with 916 at 3
Id : 20972, {_}: right_division (left_division ?21081 (left_inverse ?21082)) (multiply ?21083 (left_inverse ?21082)) =>= multiply (left_division ?21081 (left_division ?21083 (left_inverse ?21082))) ?21082 [21083, 21082, 21081] by Super 2111 with 7772 at 2
Id : 2182, {_}: right_division ?2901 (left_inverse ?2902) =>= multiply ?2901 ?2902 [2902, 2901] by Demod 2110 with 5 at 3
Id :  40, {_}: left_division ?91 identity =>= right_inverse ?91 [91] by Super 5 with 8 at 2,2
Id : 177, {_}: ?263 =<= right_inverse (right_division identity ?263) [263] by Super 40 with 28 at 2
Id : 184, {_}: ?263 =<= right_inverse (left_inverse ?263) [263] by Demod 177 with 45 at 1,3
Id : 374, {_}: ?263 =<= left_inverse (left_inverse ?263) [263] by Demod 184 with 366 at 3
Id : 2184, {_}: right_division ?2906 ?2907 =<= multiply ?2906 (left_inverse ?2907) [2907, 2906] by Super 2182 with 374 at 2,2
Id : 2285, {_}: left_division ?3010 (left_inverse ?3011) =>= right_division (left_inverse ?3010) ?3011 [3011, 3010] by Super 744 with 2184 at 3
Id : 2376, {_}: left_division ?3010 (left_inverse ?3011) =>= left_inverse (multiply ?3011 ?3010) [3011, 3010] by Demod 2285 with 2178 at 3
Id : 21087, {_}: right_division (left_inverse (multiply ?21082 ?21081)) (multiply ?21083 (left_inverse ?21082)) =>= multiply (left_division ?21081 (left_division ?21083 (left_inverse ?21082))) ?21082 [21083, 21081, 21082] by Demod 20972 with 2376 at 1,2
Id : 21088, {_}: right_division (left_inverse (multiply ?21082 ?21081)) (right_division ?21083 ?21082) =<= multiply (left_division ?21081 (left_division ?21083 (left_inverse ?21082))) ?21082 [21083, 21081, 21082] by Demod 21087 with 2184 at 2,2
Id : 21089, {_}: right_division (left_inverse (multiply ?21082 ?21081)) (right_division ?21083 ?21082) =<= left_division (left_division (left_division ?21083 (left_inverse ?21082)) ?21081) ?21082 [21083, 21081, 21082] by Demod 21088 with 2410 at 3
Id : 21090, {_}: left_inverse (multiply (right_division ?21083 ?21082) (multiply ?21082 ?21081)) =<= left_division (left_division (left_division ?21083 (left_inverse ?21082)) ?21081) ?21082 [21081, 21082, 21083] by Demod 21089 with 2178 at 2
Id : 21091, {_}: left_inverse (multiply (right_division ?21083 ?21082) (multiply ?21082 ?21081)) =<= left_division (left_division (left_inverse (multiply ?21082 ?21083)) ?21081) ?21082 [21081, 21082, 21083] by Demod 21090 with 2376 at 1,1,3
Id : 933, {_}: multiply (right_division ?1240 ?1241) ?1242 =>= left_division (right_division ?1241 ?1240) ?1242 [1242, 1241, 1240] by Super 756 with 916 at 1,3
Id : 21092, {_}: left_inverse (left_division (right_division ?21082 ?21083) (multiply ?21082 ?21081)) =<= left_division (left_division (left_inverse (multiply ?21082 ?21083)) ?21081) ?21082 [21081, 21083, 21082] by Demod 21091 with 933 at 1,2
Id : 21093, {_}: left_inverse (left_division (right_division ?21082 ?21083) (multiply ?21082 ?21081)) =>= left_division (multiply (multiply ?21082 ?21083) ?21081) ?21082 [21081, 21083, 21082] by Demod 21092 with 756 at 1,3
Id : 33490, {_}: left_division (multiply ?32560 ?32561) (right_division ?32560 ?32562) =<= left_division (multiply (multiply ?32560 ?32562) ?32561) ?32560 [32562, 32561, 32560] by Demod 21093 with 2254 at 2
Id : 33504, {_}: left_division (multiply ?32621 ?32622) (right_division ?32621 (left_inverse ?32623)) =>= left_division (multiply (right_division ?32621 ?32623) ?32622) ?32621 [32623, 32622, 32621] by Super 33490 with 2184 at 1,1,3
Id : 33706, {_}: left_division (multiply ?32621 ?32622) (multiply ?32621 ?32623) =<= left_division (multiply (right_division ?32621 ?32623) ?32622) ?32621 [32623, 32622, 32621] by Demod 33504 with 2111 at 2,2
Id : 33707, {_}: left_division (multiply ?32621 ?32622) (multiply ?32621 ?32623) =<= left_division (left_division (right_division ?32623 ?32621) ?32622) ?32621 [32623, 32622, 32621] by Demod 33706 with 933 at 1,3
Id : 7726, {_}: right_division (multiply ?8626 ?8627) (left_division ?8628 ?8627) =>= right_division ?8627 (left_division ?8628 (left_division ?8626 ?8627)) [8628, 8627, 8626] by Demod 7704 with 2414 at 3
Id : 7737, {_}: right_division (multiply ?8669 (left_inverse ?8670)) (left_inverse (multiply ?8670 ?8671)) =>= right_division (left_inverse ?8670) (left_division ?8671 (left_division ?8669 (left_inverse ?8670))) [8671, 8670, 8669] by Super 7726 with 2376 at 2,2
Id : 7800, {_}: multiply (multiply ?8669 (left_inverse ?8670)) (multiply ?8670 ?8671) =<= right_division (left_inverse ?8670) (left_division ?8671 (left_division ?8669 (left_inverse ?8670))) [8671, 8670, 8669] by Demod 7737 with 2111 at 2
Id : 7801, {_}: multiply (multiply ?8669 (left_inverse ?8670)) (multiply ?8670 ?8671) =<= left_inverse (multiply (left_division ?8671 (left_division ?8669 (left_inverse ?8670))) ?8670) [8671, 8670, 8669] by Demod 7800 with 2178 at 3
Id : 7802, {_}: multiply (right_division ?8669 ?8670) (multiply ?8670 ?8671) =<= left_inverse (multiply (left_division ?8671 (left_division ?8669 (left_inverse ?8670))) ?8670) [8671, 8670, 8669] by Demod 7801 with 2184 at 1,2
Id : 7803, {_}: multiply (right_division ?8669 ?8670) (multiply ?8670 ?8671) =<= left_inverse (left_division (left_division (left_division ?8669 (left_inverse ?8670)) ?8671) ?8670) [8671, 8670, 8669] by Demod 7802 with 2410 at 1,3
Id : 7804, {_}: left_division (right_division ?8670 ?8669) (multiply ?8670 ?8671) =<= left_inverse (left_division (left_division (left_division ?8669 (left_inverse ?8670)) ?8671) ?8670) [8671, 8669, 8670] by Demod 7803 with 933 at 2
Id : 7805, {_}: left_division (right_division ?8670 ?8669) (multiply ?8670 ?8671) =<= left_division ?8670 (left_division (left_division ?8669 (left_inverse ?8670)) ?8671) [8671, 8669, 8670] by Demod 7804 with 2254 at 3
Id : 7806, {_}: left_division (right_division ?8670 ?8669) (multiply ?8670 ?8671) =<= left_division ?8670 (left_division (left_inverse (multiply ?8670 ?8669)) ?8671) [8671, 8669, 8670] by Demod 7805 with 2376 at 1,2,3
Id : 21301, {_}: left_division (right_division ?21608 ?21609) (multiply ?21608 ?21610) =>= left_division ?21608 (multiply (multiply ?21608 ?21609) ?21610) [21610, 21609, 21608] by Demod 7806 with 756 at 2,3
Id : 21334, {_}: left_division (multiply ?21745 ?21746) (multiply ?21745 ?21747) =<= left_division ?21745 (multiply (multiply ?21745 (left_inverse ?21746)) ?21747) [21747, 21746, 21745] by Super 21301 with 2111 at 1,2
Id : 21538, {_}: left_division (multiply ?21745 ?21746) (multiply ?21745 ?21747) =>= left_division ?21745 (multiply (right_division ?21745 ?21746) ?21747) [21747, 21746, 21745] by Demod 21334 with 2184 at 1,2,3
Id : 21539, {_}: left_division (multiply ?21745 ?21746) (multiply ?21745 ?21747) =>= left_division ?21745 (left_division (right_division ?21746 ?21745) ?21747) [21747, 21746, 21745] by Demod 21538 with 933 at 2,3
Id : 43601, {_}: left_division ?42768 (left_division (right_division ?42769 ?42768) ?42770) =<= left_division (left_division (right_division ?42770 ?42768) ?42769) ?42768 [42770, 42769, 42768] by Demod 33707 with 21539 at 2
Id : 824, {_}: multiply (left_inverse ?1117) (multiply ?1118 (left_inverse ?1117)) =>= multiply (left_division ?1117 ?1118) (left_inverse ?1117) [1118, 1117] by Super 70 with 744 at 1,3
Id : 854, {_}: left_division ?1117 (multiply ?1118 (left_inverse ?1117)) =<= multiply (left_division ?1117 ?1118) (left_inverse ?1117) [1118, 1117] by Demod 824 with 744 at 2
Id : 2272, {_}: left_division ?1117 (right_division ?1118 ?1117) =<= multiply (left_division ?1117 ?1118) (left_inverse ?1117) [1118, 1117] by Demod 854 with 2184 at 2,2
Id : 2273, {_}: left_division ?1117 (right_division ?1118 ?1117) =>= right_division (left_division ?1117 ?1118) ?1117 [1118, 1117] by Demod 2272 with 2184 at 3
Id : 43662, {_}: left_division ?43029 (left_division (right_division (right_division ?43030 (right_division ?43031 ?43029)) ?43029) ?43031) =<= left_division (right_division (left_division (right_division ?43031 ?43029) ?43030) (right_division ?43031 ?43029)) ?43029 [43031, 43030, 43029] by Super 43601 with 2273 at 1,3
Id :  59, {_}: multiply (multiply ?136 ?137) ?138 =<= multiply ?137 (multiply (left_division ?137 ?136) (multiply ?137 ?138)) [138, 137, 136] by Super 56 with 4 at 1,1,2
Id : 2732, {_}: left_division ?3557 (multiply (multiply ?3558 ?3557) ?3559) =<= multiply (left_division ?3557 ?3558) (multiply ?3557 ?3559) [3559, 3558, 3557] by Super 5 with 59 at 2,2
Id : 7516, {_}: left_division ?3557 (multiply (multiply ?3558 ?3557) ?3559) =<= left_division (left_division ?3558 ?3557) (multiply ?3557 ?3559) [3559, 3558, 3557] by Demod 2732 with 2410 at 3
Id : 7526, {_}: left_inverse (left_division ?8344 (multiply (multiply ?8345 ?8344) ?8346)) =>= left_division (multiply ?8344 ?8346) (left_division ?8345 ?8344) [8346, 8345, 8344] by Super 2254 with 7516 at 1,2
Id : 7586, {_}: left_division (multiply (multiply ?8345 ?8344) ?8346) ?8344 =>= left_division (multiply ?8344 ?8346) (left_division ?8345 ?8344) [8346, 8344, 8345] by Demod 7526 with 2254 at 2
Id : 19936, {_}: left_division (multiply (left_inverse ?19613) ?19614) (left_division ?19615 (left_inverse ?19613)) =>= left_inverse (multiply ?19613 (multiply (multiply ?19615 (left_inverse ?19613)) ?19614)) [19615, 19614, 19613] by Super 2376 with 7586 at 2
Id : 20017, {_}: left_division (left_division ?19613 ?19614) (left_division ?19615 (left_inverse ?19613)) =<= left_inverse (multiply ?19613 (multiply (multiply ?19615 (left_inverse ?19613)) ?19614)) [19615, 19614, 19613] by Demod 19936 with 744 at 1,2
Id : 20018, {_}: left_division (left_division ?19613 ?19614) (left_inverse (multiply ?19613 ?19615)) =<= left_inverse (multiply ?19613 (multiply (multiply ?19615 (left_inverse ?19613)) ?19614)) [19615, 19614, 19613] by Demod 20017 with 2376 at 2,2
Id : 20019, {_}: left_division (left_division ?19613 ?19614) (left_inverse (multiply ?19613 ?19615)) =>= left_inverse (multiply ?19613 (multiply (right_division ?19615 ?19613) ?19614)) [19615, 19614, 19613] by Demod 20018 with 2184 at 1,2,1,3
Id : 20020, {_}: left_inverse (multiply (multiply ?19613 ?19615) (left_division ?19613 ?19614)) =>= left_inverse (multiply ?19613 (multiply (right_division ?19615 ?19613) ?19614)) [19614, 19615, 19613] by Demod 20019 with 2376 at 2
Id : 20021, {_}: left_inverse (multiply (multiply ?19613 ?19615) (left_division ?19613 ?19614)) =>= left_inverse (multiply ?19613 (left_division (right_division ?19613 ?19615) ?19614)) [19614, 19615, 19613] by Demod 20020 with 933 at 2,1,3
Id : 20022, {_}: left_inverse (right_division (multiply ?19613 ?19615) (left_division ?19614 ?19613)) =<= left_inverse (multiply ?19613 (left_division (right_division ?19613 ?19615) ?19614)) [19614, 19615, 19613] by Demod 20021 with 2414 at 1,2
Id : 20023, {_}: left_inverse (right_division (multiply ?19613 ?19615) (left_division ?19614 ?19613)) =>= left_inverse (right_division ?19613 (left_division ?19614 (right_division ?19613 ?19615))) [19614, 19615, 19613] by Demod 20022 with 2414 at 1,3
Id : 20024, {_}: right_division (left_division ?19614 ?19613) (multiply ?19613 ?19615) =<= left_inverse (right_division ?19613 (left_division ?19614 (right_division ?19613 ?19615))) [19615, 19613, 19614] by Demod 20023 with 916 at 2
Id : 29739, {_}: right_division (left_division ?28549 ?28550) (multiply ?28550 ?28551) =<= right_division (left_division ?28549 (right_division ?28550 ?28551)) ?28550 [28551, 28550, 28549] by Demod 20024 with 916 at 3
Id : 29811, {_}: right_division (left_division (left_inverse ?28848) ?28849) (multiply ?28849 ?28850) =>= right_division (multiply ?28848 (right_division ?28849 ?28850)) ?28849 [28850, 28849, 28848] by Super 29739 with 756 at 1,3
Id : 30077, {_}: right_division (multiply ?28848 ?28849) (multiply ?28849 ?28850) =<= right_division (multiply ?28848 (right_division ?28849 ?28850)) ?28849 [28850, 28849, 28848] by Demod 29811 with 756 at 1,2
Id : 2185, {_}: right_division ?2909 (right_division ?2910 ?2911) =<= multiply ?2909 (right_division ?2911 ?2910) [2911, 2910, 2909] by Super 2182 with 916 at 2,2
Id : 30078, {_}: right_division (multiply ?28848 ?28849) (multiply ?28849 ?28850) =<= right_division (right_division ?28848 (right_division ?28850 ?28849)) ?28849 [28850, 28849, 28848] by Demod 30077 with 2185 at 1,3
Id : 44018, {_}: left_division ?43029 (left_division (right_division (multiply ?43030 ?43029) (multiply ?43029 ?43031)) ?43031) =<= left_division (right_division (left_division (right_division ?43031 ?43029) ?43030) (right_division ?43031 ?43029)) ?43029 [43031, 43030, 43029] by Demod 43662 with 30078 at 1,2,2
Id : 242, {_}: multiply (multiply ?22 (multiply ?23 ?22)) ?24 =>= multiply ?22 (multiply ?23 (multiply ?22 ?24)) [24, 23, 22] by Demod 10 with 70 at 1,2
Id : 822, {_}: multiply (multiply ?1109 (left_division ?1110 ?1109)) ?1111 =<= multiply ?1109 (multiply (left_inverse ?1110) (multiply ?1109 ?1111)) [1111, 1110, 1109] by Super 242 with 744 at 2,1,2
Id : 855, {_}: multiply (multiply ?1109 (left_division ?1110 ?1109)) ?1111 =>= multiply ?1109 (left_division ?1110 (multiply ?1109 ?1111)) [1111, 1110, 1109] by Demod 822 with 744 at 2,3
Id : 3922, {_}: multiply (right_division ?1109 (left_division ?1109 ?1110)) ?1111 =>= multiply ?1109 (left_division ?1110 (multiply ?1109 ?1111)) [1111, 1110, 1109] by Demod 855 with 2414 at 1,2
Id : 3923, {_}: multiply (right_division ?1109 (left_division ?1109 ?1110)) ?1111 =>= right_division ?1109 (left_division (multiply ?1109 ?1111) ?1110) [1111, 1110, 1109] by Demod 3922 with 2414 at 3
Id : 3924, {_}: left_division (right_division (left_division ?1109 ?1110) ?1109) ?1111 =>= right_division ?1109 (left_division (multiply ?1109 ?1111) ?1110) [1111, 1110, 1109] by Demod 3923 with 933 at 2
Id : 44019, {_}: left_division ?43029 (left_division (right_division (multiply ?43030 ?43029) (multiply ?43029 ?43031)) ?43031) =>= right_division (right_division ?43031 ?43029) (left_division (multiply (right_division ?43031 ?43029) ?43029) ?43030) [43031, 43030, 43029] by Demod 44018 with 3924 at 3
Id : 2293, {_}: multiply (multiply (left_inverse ?3033) (right_division ?3034 ?3033)) ?3035 =<= multiply (left_inverse ?3033) (multiply ?3034 (multiply (left_inverse ?3033) ?3035)) [3035, 3034, 3033] by Super 242 with 2184 at 2,1,2
Id : 2352, {_}: multiply (left_division ?3033 (right_division ?3034 ?3033)) ?3035 =<= multiply (left_inverse ?3033) (multiply ?3034 (multiply (left_inverse ?3033) ?3035)) [3035, 3034, 3033] by Demod 2293 with 744 at 1,2
Id : 2353, {_}: multiply (left_division ?3033 (right_division ?3034 ?3033)) ?3035 =<= left_division ?3033 (multiply ?3034 (multiply (left_inverse ?3033) ?3035)) [3035, 3034, 3033] by Demod 2352 with 744 at 3
Id : 2354, {_}: multiply (right_division (left_division ?3033 ?3034) ?3033) ?3035 =<= left_division ?3033 (multiply ?3034 (multiply (left_inverse ?3033) ?3035)) [3035, 3034, 3033] by Demod 2353 with 2273 at 1,2
Id : 2355, {_}: multiply (right_division (left_division ?3033 ?3034) ?3033) ?3035 =>= left_division ?3033 (multiply ?3034 (left_division ?3033 ?3035)) [3035, 3034, 3033] by Demod 2354 with 744 at 2,2,3
Id : 2356, {_}: left_division (right_division ?3033 (left_division ?3033 ?3034)) ?3035 =>= left_division ?3033 (multiply ?3034 (left_division ?3033 ?3035)) [3035, 3034, 3033] by Demod 2355 with 933 at 2
Id : 6567, {_}: left_division (right_division ?3033 (left_division ?3033 ?3034)) ?3035 =>= left_division ?3033 (right_division ?3034 (left_division ?3035 ?3033)) [3035, 3034, 3033] by Demod 2356 with 2414 at 2,3
Id : 6586, {_}: left_inverse (left_division ?7225 (right_division ?7226 (left_division ?7227 ?7225))) =>= left_division ?7227 (right_division ?7225 (left_division ?7225 ?7226)) [7227, 7226, 7225] by Super 2254 with 6567 at 1,2
Id : 18904, {_}: left_division (right_division ?18377 (left_division ?18378 ?18379)) ?18379 =>= left_division ?18378 (right_division ?18379 (left_division ?18379 ?18377)) [18379, 18378, 18377] by Demod 6586 with 2254 at 2
Id : 18925, {_}: left_division (right_division ?18462 (multiply ?18463 ?18464)) ?18464 =<= left_division (left_inverse ?18463) (right_division ?18464 (left_division ?18464 ?18462)) [18464, 18463, 18462] by Super 18904 with 756 at 2,1,2
Id : 19131, {_}: left_division (right_division ?18462 (multiply ?18463 ?18464)) ?18464 =<= multiply ?18463 (right_division ?18464 (left_division ?18464 ?18462)) [18464, 18463, 18462] by Demod 18925 with 756 at 3
Id : 19132, {_}: left_division (right_division ?18462 (multiply ?18463 ?18464)) ?18464 =>= right_division ?18463 (right_division (left_division ?18464 ?18462) ?18464) [18464, 18463, 18462] by Demod 19131 with 2185 at 3
Id : 44020, {_}: left_division ?43029 (right_division ?43029 (right_division (left_division ?43031 (multiply ?43030 ?43029)) ?43031)) =>= right_division (right_division ?43031 ?43029) (left_division (multiply (right_division ?43031 ?43029) ?43029) ?43030) [43030, 43031, 43029] by Demod 44019 with 19132 at 2,2
Id : 44021, {_}: left_division ?43029 (right_division ?43029 (right_division (left_division ?43031 (multiply ?43030 ?43029)) ?43031)) =>= right_division (right_division ?43031 ?43029) (left_division (left_division (right_division ?43029 ?43031) ?43029) ?43030) [43030, 43031, 43029] by Demod 44020 with 933 at 1,2,3
Id : 2291, {_}: left_division ?3028 (right_division ?3028 ?3029) =>= left_inverse ?3029 [3029, 3028] by Super 5 with 2184 at 2,2
Id : 44022, {_}: left_inverse (right_division (left_division ?43031 (multiply ?43030 ?43029)) ?43031) =<= right_division (right_division ?43031 ?43029) (left_division (left_division (right_division ?43029 ?43031) ?43029) ?43030) [43029, 43030, 43031] by Demod 44021 with 2291 at 2
Id : 44023, {_}: left_inverse (right_division (left_division ?43031 (multiply ?43030 ?43029)) ?43031) =>= right_division (right_division ?43031 ?43029) (left_division ?43031 ?43030) [43029, 43030, 43031] by Demod 44022 with 28 at 1,2,3
Id : 44024, {_}: right_division ?43031 (left_division ?43031 (multiply ?43030 ?43029)) =<= right_division (right_division ?43031 ?43029) (left_division ?43031 ?43030) [43029, 43030, 43031] by Demod 44023 with 916 at 2
Id : 47970, {_}: right_division (left_division ?47766 ?47767) (right_division ?47766 ?47768) =<= left_inverse (right_division ?47766 (left_division ?47766 (multiply ?47767 ?47768))) [47768, 47767, 47766] by Super 916 with 44024 at 1,3
Id : 48230, {_}: right_division (left_division ?47766 ?47767) (right_division ?47766 ?47768) =<= right_division (left_division ?47766 (multiply ?47767 ?47768)) ?47766 [47768, 47767, 47766] by Demod 47970 with 916 at 3
Id : 50397, {_}: right_division (left_division (left_inverse ?50556) ?50557) (right_division (left_inverse ?50556) ?50558) =>= multiply (left_division (left_inverse ?50556) (multiply ?50557 ?50558)) ?50556 [50558, 50557, 50556] by Super 2111 with 48230 at 2
Id : 50603, {_}: right_division (multiply ?50556 ?50557) (right_division (left_inverse ?50556) ?50558) =<= multiply (left_division (left_inverse ?50556) (multiply ?50557 ?50558)) ?50556 [50558, 50557, 50556] by Demod 50397 with 756 at 1,2
Id : 50604, {_}: right_division (multiply ?50556 ?50557) (left_inverse (multiply ?50558 ?50556)) =<= multiply (left_division (left_inverse ?50556) (multiply ?50557 ?50558)) ?50556 [50558, 50557, 50556] by Demod 50603 with 2178 at 2,2
Id : 50605, {_}: right_division (multiply ?50556 ?50557) (left_inverse (multiply ?50558 ?50556)) =<= left_division (left_division (multiply ?50557 ?50558) (left_inverse ?50556)) ?50556 [50558, 50557, 50556] by Demod 50604 with 2410 at 3
Id : 50606, {_}: multiply (multiply ?50556 ?50557) (multiply ?50558 ?50556) =<= left_division (left_division (multiply ?50557 ?50558) (left_inverse ?50556)) ?50556 [50558, 50557, 50556] by Demod 50605 with 2111 at 2
Id : 50607, {_}: multiply (multiply ?50556 ?50557) (multiply ?50558 ?50556) =<= left_division (left_inverse (multiply ?50556 (multiply ?50557 ?50558))) ?50556 [50558, 50557, 50556] by Demod 50606 with 2376 at 1,3
Id : 50608, {_}: multiply (multiply ?50556 ?50557) (multiply ?50558 ?50556) =<= multiply (multiply ?50556 (multiply ?50557 ?50558)) ?50556 [50558, 50557, 50556] by Demod 50607 with 756 at 3
Id : 50609, {_}: multiply (multiply ?50556 ?50557) (multiply ?50558 ?50556) =>= multiply ?50556 (multiply (multiply ?50557 ?50558) ?50556) [50558, 50557, 50556] by Demod 50608 with 70 at 3
Id : 52237, {_}: multiply x (multiply (multiply y z) x) =?= multiply x (multiply (multiply y z) x) [] by Demod 1 with 50609 at 3
Id :   1, {_}: multiply x (multiply (multiply y z) x) =<= multiply (multiply x y) (multiply z x) [] by prove_moufang4
% SZS output end CNFRefutation for GRP205-1.p
8734: solved GRP205-1.p in 8.472529 using kbo
!! infer_left                                     194    0.0003    0.0000    0.0000
!! infer_right                                    195   29.6761    0.7781    0.1522
!! simplify_goal                                  195    0.0202    0.0005    0.0001
!! keep_simplified                                561    3.2611    0.3110    0.0058
!! simplification_step                            647    3.2563    0.3110    0.0050
!! simplify                                     32671   29.4133    0.3326    0.0009
!! orphan_murder                                  578    0.6395    0.3003    0.0011
!! is_subsumed                                  28740    1.3715    0.3001    0.0000
!! build_new_clause                             13947    2.2329    0.3009    0.0002
!! demodulate                                   32539   27.9502    0.3325    0.0009
!! demod                                       343904   18.5951    0.3321    0.0001
!! demod.apply_subst                            80288    0.8147    0.3001    0.0000
!! demod.compare_terms                           1790    0.0063    0.0003    0.0000
!! demod.retrieve_generalizations              343904    5.5470    0.3054    0.0000
!! demod.unify                                 558499    7.9286    0.3321    0.0000
!! build_clause                                 52301    6.8824    0.3009    0.0001
!! compare_terms(kbo)                           54125    4.0948    0.3009    0.0001
!! compare_terms(nrkbo)                            10    0.0001    0.0000    0.0000
8752: Facts:
8752:  Id :   2, {_}:
          multiply ?2
            (inverse
              (multiply ?3
                (multiply
                  (multiply (multiply ?4 (inverse ?4))
                    (inverse (multiply ?2 ?3))) ?2)))
          =>=
          ?2
          [4, 3, 2] by single_non_axiom ?2 ?3 ?4
8752: Goal:
8752:  Id :   1, {_}:
          multiply x
            (inverse
              (multiply y
                (multiply
                  (multiply (multiply z (inverse z)) (inverse (multiply u y)))
                  x)))
          =>=
          u
          [] by try_prove_this_axiom
% SZS status Timeout for GRP207-1.p
Fatal error: exception Assert_failure("matitaprover.ml", 280, 46)
8795: Facts:
8795:  Id :   2, {_}:
          multiply ?2
            (inverse
              (multiply (inverse (multiply (inverse (multiply ?2 ?3)) ?4))
                (inverse (multiply ?3 (multiply (inverse ?3) ?3)))))
          =>=
          ?4
          [4, 3, 2] by single_axiom ?2 ?3 ?4
8795: Goal:
8795:  Id :   1, {_}:
          multiply (multiply (inverse b2) b2) a2 =>= a2
          [] by prove_these_axioms_2
% SZS status Timeout for GRP404-1.p
8835: Facts:
8835:  Id :   2, {_}:
          multiply ?2
            (inverse
              (multiply (inverse (multiply (inverse (multiply ?2 ?3)) ?4))
                (inverse (multiply ?3 (multiply (inverse ?3) ?3)))))
          =>=
          ?4
          [4, 3, 2] by single_axiom ?2 ?3 ?4
8835: Goal:
8835:  Id :   1, {_}:
          multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
          [] by prove_these_axioms_3
% SZS status Timeout for GRP405-1.p
8863: Facts:
8863:  Id :   2, {_}:
          multiply
            (multiply (inverse (multiply ?2 (inverse (multiply ?3 ?4))))
              (multiply ?2 (inverse ?4))) (inverse (multiply (inverse ?4) ?4))
          =>=
          ?3
          [4, 3, 2] by single_axiom ?2 ?3 ?4
8863: Goal:
8863:  Id :   1, {_}:
          multiply (multiply (inverse b2) b2) a2 =>= a2
          [] by prove_these_axioms_2
Statistics :
Max weight : 68
Found proof, 39.494848s
% SZS status Unsatisfiable for GRP410-1.p
% SZS output start CNFRefutation for GRP410-1.p
Id :   3, {_}: multiply (multiply (inverse (multiply ?6 (inverse (multiply ?7 ?8)))) (multiply ?6 (inverse ?8))) (inverse (multiply (inverse ?8) ?8)) =>= ?7 [8, 7, 6] by single_axiom ?6 ?7 ?8
Id :   2, {_}: multiply (multiply (inverse (multiply ?2 (inverse (multiply ?3 ?4)))) (multiply ?2 (inverse ?4))) (inverse (multiply (inverse ?4) ?4)) =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
Id :   5, {_}: multiply (multiply (inverse (multiply ?15 (inverse ?16))) (multiply ?15 (inverse (inverse (multiply (inverse ?17) ?17))))) (inverse (multiply (inverse (inverse (multiply (inverse ?17) ?17))) (inverse (multiply (inverse ?17) ?17)))) =?= multiply (inverse (multiply ?18 (inverse (multiply ?16 ?17)))) (multiply ?18 (inverse ?17)) [18, 17, 16, 15] by Super 3 with 2 at 1,2,1,1,1,2
Id : 106, {_}: multiply (inverse (multiply ?503 (inverse (multiply (multiply ?504 (inverse (multiply (inverse ?505) ?505))) ?505)))) (multiply ?503 (inverse ?505)) =>= ?504 [505, 504, 503] by Super 2 with 5 at 2
Id : 117, {_}: multiply (multiply (inverse (multiply ?561 (inverse ?562))) (multiply ?561 (inverse (inverse (multiply (inverse ?563) ?563))))) (inverse (multiply (inverse (inverse (multiply (inverse ?563) ?563))) (inverse (multiply (inverse ?563) ?563)))) =?= multiply (inverse (multiply ?564 (inverse (multiply ?562 ?563)))) (multiply ?564 (inverse ?563)) [564, 563, 562, 561] by Super 3 with 2 at 1,2,1,1,1,2
Id : 216, {_}: multiply (inverse (multiply ?1036 (inverse (multiply ?1037 ?1038)))) (multiply ?1036 (inverse ?1038)) =?= multiply (inverse (multiply ?1039 (inverse (multiply ?1037 ?1038)))) (multiply ?1039 (inverse ?1038)) [1039, 1038, 1037, 1036] by Super 117 with 5 at 2
Id : 229, {_}: multiply (inverse (multiply ?1117 (inverse (multiply (inverse (multiply ?1118 (inverse (multiply (multiply ?1119 (inverse (multiply (inverse ?1120) ?1120))) ?1120)))) (multiply ?1118 (inverse ?1120)))))) (multiply ?1117 (inverse (multiply ?1118 (inverse ?1120)))) =?= multiply (inverse (multiply ?1121 (inverse ?1119))) (multiply ?1121 (inverse (multiply ?1118 (inverse ?1120)))) [1121, 1120, 1119, 1118, 1117] by Super 216 with 106 at 1,2,1,1,3
Id : 704, {_}: multiply (inverse (multiply ?2676 (inverse ?2677))) (multiply ?2676 (inverse (multiply ?2678 (inverse ?2679)))) =?= multiply (inverse (multiply ?2680 (inverse ?2677))) (multiply ?2680 (inverse (multiply ?2678 (inverse ?2679)))) [2680, 2679, 2678, 2677, 2676] by Demod 229 with 106 at 1,2,1,1,2
Id : 151, {_}: multiply (multiply (inverse (multiply ?754 (inverse ?755))) (multiply ?754 (inverse (multiply ?756 (inverse ?757))))) (inverse (multiply (inverse (multiply ?756 (inverse ?757))) (multiply ?756 (inverse ?757)))) =>= inverse (multiply ?756 (inverse (multiply (multiply ?755 (inverse (multiply (inverse ?757) ?757))) ?757))) [757, 756, 755, 754] by Super 2 with 106 at 1,2,1,1,1,2
Id : 310, {_}: inverse (multiply ?1412 (inverse (multiply (multiply (multiply ?1413 (multiply ?1412 (inverse ?1414))) (inverse (multiply (inverse ?1414) ?1414))) ?1414))) =>= ?1413 [1414, 1413, 1412] by Super 2 with 151 at 2
Id : 713, {_}: multiply (inverse (multiply ?2742 (inverse ?2743))) (multiply ?2742 (inverse (multiply ?2744 (inverse (multiply (multiply (multiply ?2745 (multiply ?2744 (inverse ?2746))) (inverse (multiply (inverse ?2746) ?2746))) ?2746))))) =?= multiply (inverse (multiply ?2747 (inverse ?2743))) (multiply ?2747 ?2745) [2747, 2746, 2745, 2744, 2743, 2742] by Super 704 with 310 at 2,2,3
Id : 869, {_}: multiply (inverse (multiply ?3440 (inverse ?3441))) (multiply ?3440 ?3442) =?= multiply (inverse (multiply ?3443 (inverse ?3441))) (multiply ?3443 ?3442) [3443, 3442, 3441, 3440] by Demod 713 with 310 at 2,2,2
Id : 881, {_}: multiply (inverse (multiply ?3517 (inverse (multiply ?3518 (inverse (multiply (multiply (multiply ?3519 (multiply ?3518 (inverse ?3520))) (inverse (multiply (inverse ?3520) ?3520))) ?3520)))))) (multiply ?3517 ?3521) =?= multiply (inverse (multiply ?3522 ?3519)) (multiply ?3522 ?3521) [3522, 3521, 3520, 3519, 3518, 3517] by Super 869 with 310 at 2,1,1,3
Id : 932, {_}: multiply (inverse (multiply ?3517 ?3519)) (multiply ?3517 ?3521) =?= multiply (inverse (multiply ?3522 ?3519)) (multiply ?3522 ?3521) [3522, 3521, 3519, 3517] by Demod 881 with 310 at 2,1,1,2
Id : 940, {_}: multiply (inverse (multiply ?3765 (inverse (multiply (multiply ?3766 (inverse (multiply (inverse (multiply ?3767 ?3768)) (multiply ?3767 ?3768)))) (multiply ?3769 ?3768))))) (multiply ?3765 (inverse (multiply ?3769 ?3768))) =>= ?3766 [3769, 3768, 3767, 3766, 3765] by Super 106 with 932 at 1,2,1,1,2,1,1,2
Id : 1923, {_}: multiply ?8185 (inverse (multiply (inverse (multiply ?8186 ?8187)) (multiply ?8186 ?8187))) =?= multiply ?8185 (inverse (multiply (inverse (multiply ?8188 ?8187)) (multiply ?8188 ?8187))) [8188, 8187, 8186, 8185] by Super 2 with 940 at 1,2
Id :   6, {_}: multiply (multiply (inverse ?20) (multiply (multiply (inverse (multiply ?21 (inverse (multiply ?20 ?22)))) (multiply ?21 (inverse ?22))) (inverse ?22))) (inverse (multiply (inverse ?22) ?22)) =>= inverse ?22 [22, 21, 20] by Super 3 with 2 at 1,1,1,2
Id : 1927, {_}: multiply ?8210 (inverse (multiply (inverse (multiply ?8211 (inverse (multiply (inverse ?8212) ?8212)))) (multiply ?8211 (inverse (multiply (inverse ?8212) ?8212))))) =?= multiply ?8210 (inverse (multiply (inverse (multiply (multiply (inverse ?8213) (multiply (multiply (inverse (multiply ?8214 (inverse (multiply ?8213 ?8212)))) (multiply ?8214 (inverse ?8212))) (inverse ?8212))) (inverse (multiply (inverse ?8212) ?8212)))) (inverse ?8212))) [8214, 8213, 8212, 8211, 8210] by Super 1923 with 6 at 2,1,2,3
Id : 2148, {_}: multiply ?9208 (inverse (multiply (inverse (multiply ?9209 (inverse (multiply (inverse ?9210) ?9210)))) (multiply ?9209 (inverse (multiply (inverse ?9210) ?9210))))) =>= multiply ?9208 (inverse (multiply (inverse (inverse ?9210)) (inverse ?9210))) [9210, 9209, 9208] by Demod 1927 with 6 at 1,1,1,2,3
Id : 2158, {_}: multiply ?9267 (inverse (multiply (inverse (multiply (multiply (inverse (multiply ?9268 (inverse (multiply ?9269 ?9270)))) (multiply ?9268 (inverse ?9270))) (inverse (multiply (inverse ?9270) ?9270)))) ?9269)) =>= multiply ?9267 (inverse (multiply (inverse (inverse ?9270)) (inverse ?9270))) [9270, 9269, 9268, 9267] by Super 2148 with 2 at 2,1,2,2
Id : 2506, {_}: multiply ?10398 (inverse (multiply (inverse ?10399) ?10399)) =?= multiply ?10398 (inverse (multiply (inverse (inverse ?10400)) (inverse ?10400))) [10400, 10399, 10398] by Demod 2158 with 2 at 1,1,1,2,2
Id : 2315, {_}: multiply ?9267 (inverse (multiply (inverse ?9269) ?9269)) =?= multiply ?9267 (inverse (multiply (inverse (inverse ?9270)) (inverse ?9270))) [9270, 9269, 9267] by Demod 2158 with 2 at 1,1,1,2,2
Id : 2522, {_}: multiply ?10486 (inverse (multiply (inverse ?10487) ?10487)) =?= multiply ?10486 (inverse (multiply (inverse ?10488) ?10488)) [10488, 10487, 10486] by Super 2506 with 2315 at 3
Id : 2588, {_}: multiply (inverse (multiply ?10821 (inverse (multiply (multiply ?10822 (inverse (multiply (inverse ?10823) ?10823))) ?10824)))) (multiply ?10821 (inverse ?10824)) =>= ?10822 [10824, 10823, 10822, 10821] by Super 106 with 2522 at 1,1,2,1,1,2
Id :   4, {_}: multiply (multiply (inverse (multiply (multiply (inverse (multiply ?10 (inverse (multiply ?11 ?12)))) (multiply ?10 (inverse ?12))) (inverse (multiply ?13 (multiply (inverse ?12) ?12))))) ?11) (inverse (multiply (inverse (multiply (inverse ?12) ?12)) (multiply (inverse ?12) ?12))) =>= ?13 [13, 12, 11, 10] by Super 3 with 2 at 2,1,2
Id : 2630, {_}: multiply (multiply (inverse (multiply ?11025 (inverse (multiply ?11026 ?11027)))) (multiply ?11025 (inverse ?11027))) (inverse (multiply (inverse ?11028) ?11028)) =>= ?11026 [11028, 11027, 11026, 11025] by Super 2 with 2522 at 2
Id : 3233, {_}: multiply (multiply (inverse ?14256) ?14256) (inverse (multiply (inverse (multiply (inverse ?14257) ?14257)) (multiply (inverse ?14257) ?14257))) =>= inverse (multiply (inverse ?14257) ?14257) [14257, 14256] by Super 4 with 2630 at 1,1,1,2
Id : 936, {_}: multiply (multiply (inverse (multiply ?3743 (inverse ?3744))) (multiply ?3743 (inverse (multiply ?3745 (inverse ?3746))))) (inverse (multiply (inverse (multiply ?3747 (inverse ?3746))) (multiply ?3747 (inverse ?3746)))) =>= inverse (multiply ?3745 (inverse (multiply (multiply ?3744 (inverse (multiply (inverse ?3746) ?3746))) ?3746))) [3747, 3746, 3745, 3744, 3743] by Super 151 with 932 at 1,2,2
Id : 3267, {_}: inverse (multiply ?14417 (inverse (multiply (multiply (multiply ?14417 (inverse ?14418)) (inverse (multiply (inverse ?14418) ?14418))) ?14418))) =>= inverse (multiply (inverse (inverse ?14418)) (inverse ?14418)) [14418, 14417] by Super 3233 with 936 at 2
Id : 10370, {_}: multiply (inverse (multiply (inverse (inverse ?33757)) (inverse ?33757))) (multiply ?33758 (inverse ?33757)) =>= multiply ?33758 (inverse ?33757) [33758, 33757] by Super 2588 with 3267 at 1,2
Id : 10371, {_}: multiply (inverse (multiply (inverse (inverse (multiply ?33760 (inverse (multiply (multiply (multiply ?33761 (multiply ?33760 (inverse ?33762))) (inverse (multiply (inverse ?33762) ?33762))) ?33762))))) (inverse (multiply ?33760 (inverse (multiply (multiply (multiply ?33761 (multiply ?33760 (inverse ?33762))) (inverse (multiply (inverse ?33762) ?33762))) ?33762)))))) (multiply ?33763 ?33761) =>= multiply ?33763 (inverse (multiply ?33760 (inverse (multiply (multiply (multiply ?33761 (multiply ?33760 (inverse ?33762))) (inverse (multiply (inverse ?33762) ?33762))) ?33762)))) [33763, 33762, 33761, 33760] by Super 10370 with 310 at 2,2,2
Id : 10491, {_}: multiply (inverse (multiply (inverse ?33761) (inverse (multiply ?33760 (inverse (multiply (multiply (multiply ?33761 (multiply ?33760 (inverse ?33762))) (inverse (multiply (inverse ?33762) ?33762))) ?33762)))))) (multiply ?33763 ?33761) =>= multiply ?33763 (inverse (multiply ?33760 (inverse (multiply (multiply (multiply ?33761 (multiply ?33760 (inverse ?33762))) (inverse (multiply (inverse ?33762) ?33762))) ?33762)))) [33763, 33762, 33760, 33761] by Demod 10371 with 310 at 1,1,1,1,2
Id : 10492, {_}: multiply (inverse (multiply (inverse ?33761) ?33761)) (multiply ?33763 ?33761) =?= multiply ?33763 (inverse (multiply ?33760 (inverse (multiply (multiply (multiply ?33761 (multiply ?33760 (inverse ?33762))) (inverse (multiply (inverse ?33762) ?33762))) ?33762)))) [33762, 33760, 33763, 33761] by Demod 10491 with 310 at 2,1,1,2
Id : 10722, {_}: multiply (inverse (multiply (inverse ?34484) ?34484)) (multiply ?34485 ?34484) =>= multiply ?34485 ?34484 [34485, 34484] by Demod 10492 with 310 at 2,3
Id : 4568, {_}: multiply (multiply (inverse ?18346) ?18346) (inverse (multiply (inverse ?18347) ?18347)) =?= inverse (multiply (inverse ?18348) ?18348) [18348, 18347, 18346] by Super 3233 with 2522 at 2
Id : 3268, {_}: multiply (multiply (inverse ?14420) ?14420) (inverse (multiply (inverse ?14421) ?14421)) =?= inverse (multiply (inverse ?14422) ?14422) [14422, 14421, 14420] by Super 3233 with 2522 at 2
Id : 4624, {_}: inverse (multiply (inverse ?18648) ?18648) =?= inverse (multiply (inverse ?18649) ?18649) [18649, 18648] by Super 4568 with 3268 at 2
Id : 11120, {_}: multiply (inverse (multiply (inverse ?35665) ?35665)) (multiply ?35666 ?35667) =>= multiply ?35666 ?35667 [35667, 35666, 35665] by Super 10722 with 4624 at 1,2
Id : 11128, {_}: multiply (inverse (multiply (inverse ?35708) ?35708)) ?35709 =?= multiply (inverse (multiply ?35710 (inverse (multiply (multiply ?35709 (inverse (multiply (inverse ?35711) ?35711))) ?35712)))) (multiply ?35710 (inverse ?35712)) [35712, 35711, 35710, 35709, 35708] by Super 11120 with 2588 at 2,2
Id : 11232, {_}: multiply (inverse (multiply (inverse ?35708) ?35708)) ?35709 =>= ?35709 [35709, 35708] by Demod 11128 with 2588 at 3
Id : 11381, {_}: inverse (multiply (inverse (multiply (inverse ?36500) ?36500)) (inverse (multiply (multiply (inverse ?36501) (inverse (multiply (inverse ?36501) ?36501))) ?36501))) =>= inverse (multiply (inverse (inverse ?36501)) (inverse ?36501)) [36501, 36500] by Super 3267 with 11232 at 1,1,1,2,1,2
Id : 11744, {_}: inverse (inverse (multiply (multiply (inverse ?37264) (inverse (multiply (inverse ?37264) ?37264))) ?37264)) =>= inverse (multiply (inverse (inverse ?37264)) (inverse ?37264)) [37264] by Demod 11381 with 11232 at 1,2
Id : 11749, {_}: inverse (inverse (multiply (multiply (inverse (multiply (inverse ?37280) ?37280)) (inverse (multiply (inverse (multiply (inverse ?37281) ?37281)) (multiply (inverse ?37280) ?37280)))) (multiply (inverse ?37280) ?37280))) =>= inverse (multiply (inverse (inverse (multiply (inverse ?37280) ?37280))) (inverse (multiply (inverse ?37280) ?37280))) [37281, 37280] by Super 11744 with 4624 at 1,1,2,1,1,1,2
Id : 12091, {_}: inverse (inverse (multiply (inverse (multiply (inverse (multiply (inverse ?37281) ?37281)) (multiply (inverse ?37280) ?37280))) (multiply (inverse ?37280) ?37280))) =>= inverse (multiply (inverse (inverse (multiply (inverse ?37280) ?37280))) (inverse (multiply (inverse ?37280) ?37280))) [37280, 37281] by Demod 11749 with 11232 at 1,1,1,2
Id : 12092, {_}: inverse (inverse (multiply (inverse (multiply (inverse ?37280) ?37280)) (multiply (inverse ?37280) ?37280))) =<= inverse (multiply (inverse (inverse (multiply (inverse ?37280) ?37280))) (inverse (multiply (inverse ?37280) ?37280))) [37280] by Demod 12091 with 11232 at 1,1,1,1,2
Id : 11177, {_}: multiply (inverse (multiply ?35979 ?35980)) (multiply ?35979 ?35981) =>= multiply (inverse ?35980) ?35981 [35981, 35980, 35979] by Super 11120 with 932 at 2
Id : 12093, {_}: inverse (inverse (multiply (inverse ?37280) ?37280)) =<= inverse (multiply (inverse (inverse (multiply (inverse ?37280) ?37280))) (inverse (multiply (inverse ?37280) ?37280))) [37280] by Demod 12092 with 11177 at 1,1,2
Id : 11551, {_}: multiply (multiply (inverse (inverse ?16)) (inverse (inverse (multiply (inverse ?17) ?17)))) (inverse (multiply (inverse (inverse (multiply (inverse ?17) ?17))) (inverse (multiply (inverse ?17) ?17)))) =?= multiply (inverse (multiply ?18 (inverse (multiply ?16 ?17)))) (multiply ?18 (inverse ?17)) [18, 17, 16] by Demod 5 with 11177 at 1,2
Id : 11552, {_}: multiply (multiply (inverse (inverse ?16)) (inverse (inverse (multiply (inverse ?17) ?17)))) (inverse (multiply (inverse (inverse (multiply (inverse ?17) ?17))) (inverse (multiply (inverse ?17) ?17)))) =>= multiply (inverse (inverse (multiply ?16 ?17))) (inverse ?17) [17, 16] by Demod 11551 with 11177 at 3
Id : 11582, {_}: multiply (multiply (inverse (inverse ?36802)) (inverse (inverse (multiply (inverse (multiply ?36803 ?36804)) (multiply ?36803 ?36804))))) (inverse (multiply (inverse (inverse (multiply (inverse (multiply ?36803 ?36804)) (multiply ?36803 ?36804)))) (inverse (multiply (inverse ?36804) ?36804)))) =>= multiply (inverse (inverse (multiply ?36802 (multiply ?36803 ?36804)))) (inverse (multiply ?36803 ?36804)) [36804, 36803, 36802] by Super 11552 with 11177 at 1,2,1,2,2
Id : 11639, {_}: multiply (multiply (inverse (inverse ?36802)) (inverse (inverse (multiply (inverse ?36804) ?36804)))) (inverse (multiply (inverse (inverse (multiply (inverse (multiply ?36803 ?36804)) (multiply ?36803 ?36804)))) (inverse (multiply (inverse ?36804) ?36804)))) =>= multiply (inverse (inverse (multiply ?36802 (multiply ?36803 ?36804)))) (inverse (multiply ?36803 ?36804)) [36803, 36804, 36802] by Demod 11582 with 11177 at 1,1,2,1,2
Id : 11640, {_}: multiply (multiply (inverse (inverse ?36802)) (inverse (inverse (multiply (inverse ?36804) ?36804)))) (inverse (multiply (inverse (inverse (multiply (inverse ?36804) ?36804))) (inverse (multiply (inverse ?36804) ?36804)))) =?= multiply (inverse (inverse (multiply ?36802 (multiply ?36803 ?36804)))) (inverse (multiply ?36803 ?36804)) [36803, 36804, 36802] by Demod 11639 with 11177 at 1,1,1,1,2,2
Id : 12633, {_}: multiply (inverse (inverse (multiply ?38022 ?38023))) (inverse ?38023) =<= multiply (inverse (inverse (multiply ?38022 (multiply ?38024 ?38023)))) (inverse (multiply ?38024 ?38023)) [38024, 38023, 38022] by Demod 11640 with 11552 at 2
Id : 12674, {_}: multiply (inverse (inverse (multiply (inverse (multiply (inverse ?38213) ?38213)) ?38214))) (inverse ?38214) =?= multiply (inverse (inverse (multiply ?38215 ?38214))) (inverse (multiply ?38215 ?38214)) [38215, 38214, 38213] by Super 12633 with 11232 at 1,1,1,3
Id : 12741, {_}: multiply (inverse (inverse ?38214)) (inverse ?38214) =<= multiply (inverse (inverse (multiply ?38215 ?38214))) (inverse (multiply ?38215 ?38214)) [38215, 38214] by Demod 12674 with 11232 at 1,1,1,2
Id : 12768, {_}: multiply (inverse (inverse (multiply (inverse ?38347) ?38347))) (inverse (multiply (inverse ?38348) ?38348)) =>= multiply (inverse (inverse ?38347)) (inverse ?38347) [38348, 38347] by Super 2522 with 12741 at 3
Id : 13687, {_}: inverse (inverse (multiply (inverse ?37280) ?37280)) =<= inverse (multiply (inverse (inverse ?37280)) (inverse ?37280)) [37280] by Demod 12093 with 12768 at 1,3
Id : 13761, {_}: multiply (inverse (inverse (multiply (inverse ?40444) ?40444))) ?40445 =>= ?40445 [40445, 40444] by Super 11232 with 13687 at 1,2
Id : 12748, {_}: multiply (multiply (inverse (inverse ?16)) (inverse (inverse (multiply (inverse ?17) ?17)))) (inverse (multiply (inverse (inverse ?17)) (inverse ?17))) =>= multiply (inverse (inverse (multiply ?16 ?17))) (inverse ?17) [17, 16] by Demod 11552 with 12741 at 1,2,2
Id : 13691, {_}: multiply (multiply (inverse (inverse ?16)) (inverse (inverse (multiply (inverse ?17) ?17)))) (inverse (inverse (multiply (inverse ?17) ?17))) =>= multiply (inverse (inverse (multiply ?16 ?17))) (inverse ?17) [17, 16] by Demod 12748 with 13687 at 2,2
Id : 11554, {_}: multiply (multiply (inverse (inverse (multiply ?11026 ?11027))) (inverse ?11027)) (inverse (multiply (inverse ?11028) ?11028)) =>= ?11026 [11028, 11027, 11026] by Demod 2630 with 11177 at 1,2
Id : 14411, {_}: multiply (inverse ?41330) (inverse (multiply (inverse ?41331) ?41331)) =>= inverse ?41330 [41331, 41330] by Super 11554 with 13761 at 1,2
Id : 14443, {_}: multiply ?41451 (inverse (multiply (inverse ?41452) ?41452)) =?= inverse (multiply ?41453 (inverse (multiply (multiply (multiply ?41451 (multiply ?41453 (inverse ?41454))) (inverse (multiply (inverse ?41454) ?41454))) ?41454))) [41454, 41453, 41452, 41451] by Super 14411 with 310 at 1,2
Id : 14559, {_}: multiply ?41451 (inverse (multiply (inverse ?41452) ?41452)) =>= ?41451 [41452, 41451] by Demod 14443 with 310 at 3
Id : 15249, {_}: multiply (inverse (inverse (multiply ?11026 ?11027))) (inverse ?11027) =>= ?11026 [11027, 11026] by Demod 11554 with 14559 at 2
Id : 15257, {_}: multiply (multiply (inverse (inverse ?16)) (inverse (inverse (multiply (inverse ?17) ?17)))) (inverse (inverse (multiply (inverse ?17) ?17))) =>= ?16 [17, 16] by Demod 13691 with 15249 at 3
Id : 15282, {_}: multiply (inverse (multiply ?41944 ?41945)) ?41944 =?= multiply (inverse ?41945) (inverse (multiply (inverse ?41946) ?41946)) [41946, 41945, 41944] by Super 11177 with 14559 at 2,2
Id : 15420, {_}: multiply (inverse (multiply ?42198 ?42199)) ?42198 =>= inverse ?42199 [42199, 42198] by Demod 15282 with 14559 at 3
Id : 11550, {_}: multiply (multiply (inverse ?20) (multiply (multiply (inverse (inverse (multiply ?20 ?22))) (inverse ?22)) (inverse ?22))) (inverse (multiply (inverse ?22) ?22)) =>= inverse ?22 [22, 20] by Demod 6 with 11177 at 1,2,1,2
Id : 15240, {_}: multiply (inverse ?20) (multiply (multiply (inverse (inverse (multiply ?20 ?22))) (inverse ?22)) (inverse ?22)) =>= inverse ?22 [22, 20] by Demod 11550 with 14559 at 2
Id : 15260, {_}: multiply (inverse ?20) (multiply ?20 (inverse ?22)) =>= inverse ?22 [22, 20] by Demod 15240 with 15249 at 1,2,2
Id : 15431, {_}: multiply (inverse (inverse ?42235)) (inverse ?42236) =>= inverse (multiply ?42236 (inverse ?42235)) [42236, 42235] by Super 15420 with 15260 at 1,1,2
Id : 15458, {_}: multiply (inverse (multiply (inverse (multiply (inverse ?17) ?17)) (inverse ?16))) (inverse (inverse (multiply (inverse ?17) ?17))) =>= ?16 [16, 17] by Demod 15257 with 15431 at 1,2
Id : 15463, {_}: multiply (inverse (inverse ?16)) (inverse (inverse (multiply (inverse ?17) ?17))) =>= ?16 [17, 16] by Demod 15458 with 11232 at 1,1,2
Id : 15464, {_}: inverse (multiply (inverse (multiply (inverse ?17) ?17)) (inverse ?16)) =>= ?16 [16, 17] by Demod 15463 with 15431 at 2
Id : 15465, {_}: inverse (inverse ?16) =>= ?16 [16] by Demod 15464 with 11232 at 1,2
Id : 15470, {_}: multiply (multiply (inverse ?40444) ?40444) ?40445 =>= ?40445 [40445, 40444] by Demod 13761 with 15465 at 1,2
Id : 15583, {_}: a2 === a2 [] by Demod 1 with 15470 at 2
Id :   1, {_}: multiply (multiply (inverse b2) b2) a2 =>= a2 [] by prove_these_axioms_2
% SZS output end CNFRefutation for GRP410-1.p
8866: solved GRP410-1.p in 8.556534 using nrkbo
!! infer_left                                      65    0.0001    0.0000    0.0000
!! infer_right                                     66   38.0568    1.5147    0.5766
!! simplify_goal                                   66    0.0031    0.0001    0.0000
!! keep_simplified                                151    0.9107    0.3199    0.0060
!! simplification_step                            207    0.9089    0.3050    0.0044
!! simplify                                     10167   31.8798    0.4064    0.0031
!! orphan_murder                                  270    0.0037    0.0000    0.0000
!! is_subsumed                                   9228    0.7303    0.4002    0.0001
!! build_new_clause                              8584    5.6344    0.4045    0.0007
!! demodulate                                   10096   31.1171    0.4063    0.0031
!! demod                                       323127   27.0167    0.4013    0.0001
!! demod.apply_subst                           240000    3.7288    0.4004    0.0000
!! demod.compare_terms                         112418    3.8419    0.4002    0.0000
!! demod.retrieve_generalizations              323127   10.3223    0.4013    0.0000
!! demod.unify                                 203377    4.1608    0.4010    0.0000
!! build_clause                                 16167    6.3563    0.4045    0.0004
!! compare_terms(nrkbo)                        133375    5.9163    0.4044    0.0000
!! compare_terms(nrkbo)                             2    0.0000    0.0000    0.0000
8890: Facts:
8890:  Id :   2, {_}:
          multiply
            (multiply (inverse (multiply ?2 (inverse (multiply ?3 ?4))))
              (multiply ?2 (inverse ?4))) (inverse (multiply (inverse ?4) ?4))
          =>=
          ?3
          [4, 3, 2] by single_axiom ?2 ?3 ?4
8890: Goal:
8890:  Id :   1, {_}:
          multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
          [] by prove_these_axioms_3
Statistics :
Max weight : 68
Found proof, 44.774240s
% SZS status Unsatisfiable for GRP411-1.p
% SZS output start CNFRefutation for GRP411-1.p
Id :   2, {_}: multiply (multiply (inverse (multiply ?2 (inverse (multiply ?3 ?4)))) (multiply ?2 (inverse ?4))) (inverse (multiply (inverse ?4) ?4)) =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
Id :   3, {_}: multiply (multiply (inverse (multiply ?6 (inverse (multiply ?7 ?8)))) (multiply ?6 (inverse ?8))) (inverse (multiply (inverse ?8) ?8)) =>= ?7 [8, 7, 6] by single_axiom ?6 ?7 ?8
Id : 117, {_}: multiply (multiply (inverse (multiply ?561 (inverse ?562))) (multiply ?561 (inverse (inverse (multiply (inverse ?563) ?563))))) (inverse (multiply (inverse (inverse (multiply (inverse ?563) ?563))) (inverse (multiply (inverse ?563) ?563)))) =?= multiply (inverse (multiply ?564 (inverse (multiply ?562 ?563)))) (multiply ?564 (inverse ?563)) [564, 563, 562, 561] by Super 3 with 2 at 1,2,1,1,1,2
Id :   5, {_}: multiply (multiply (inverse (multiply ?15 (inverse ?16))) (multiply ?15 (inverse (inverse (multiply (inverse ?17) ?17))))) (inverse (multiply (inverse (inverse (multiply (inverse ?17) ?17))) (inverse (multiply (inverse ?17) ?17)))) =?= multiply (inverse (multiply ?18 (inverse (multiply ?16 ?17)))) (multiply ?18 (inverse ?17)) [18, 17, 16, 15] by Super 3 with 2 at 1,2,1,1,1,2
Id : 216, {_}: multiply (inverse (multiply ?1036 (inverse (multiply ?1037 ?1038)))) (multiply ?1036 (inverse ?1038)) =?= multiply (inverse (multiply ?1039 (inverse (multiply ?1037 ?1038)))) (multiply ?1039 (inverse ?1038)) [1039, 1038, 1037, 1036] by Super 117 with 5 at 2
Id : 106, {_}: multiply (inverse (multiply ?503 (inverse (multiply (multiply ?504 (inverse (multiply (inverse ?505) ?505))) ?505)))) (multiply ?503 (inverse ?505)) =>= ?504 [505, 504, 503] by Super 2 with 5 at 2
Id : 229, {_}: multiply (inverse (multiply ?1117 (inverse (multiply (inverse (multiply ?1118 (inverse (multiply (multiply ?1119 (inverse (multiply (inverse ?1120) ?1120))) ?1120)))) (multiply ?1118 (inverse ?1120)))))) (multiply ?1117 (inverse (multiply ?1118 (inverse ?1120)))) =?= multiply (inverse (multiply ?1121 (inverse ?1119))) (multiply ?1121 (inverse (multiply ?1118 (inverse ?1120)))) [1121, 1120, 1119, 1118, 1117] by Super 216 with 106 at 1,2,1,1,3
Id : 704, {_}: multiply (inverse (multiply ?2676 (inverse ?2677))) (multiply ?2676 (inverse (multiply ?2678 (inverse ?2679)))) =?= multiply (inverse (multiply ?2680 (inverse ?2677))) (multiply ?2680 (inverse (multiply ?2678 (inverse ?2679)))) [2680, 2679, 2678, 2677, 2676] by Demod 229 with 106 at 1,2,1,1,2
Id : 151, {_}: multiply (multiply (inverse (multiply ?754 (inverse ?755))) (multiply ?754 (inverse (multiply ?756 (inverse ?757))))) (inverse (multiply (inverse (multiply ?756 (inverse ?757))) (multiply ?756 (inverse ?757)))) =>= inverse (multiply ?756 (inverse (multiply (multiply ?755 (inverse (multiply (inverse ?757) ?757))) ?757))) [757, 756, 755, 754] by Super 2 with 106 at 1,2,1,1,1,2
Id : 310, {_}: inverse (multiply ?1412 (inverse (multiply (multiply (multiply ?1413 (multiply ?1412 (inverse ?1414))) (inverse (multiply (inverse ?1414) ?1414))) ?1414))) =>= ?1413 [1414, 1413, 1412] by Super 2 with 151 at 2
Id : 713, {_}: multiply (inverse (multiply ?2742 (inverse ?2743))) (multiply ?2742 (inverse (multiply ?2744 (inverse (multiply (multiply (multiply ?2745 (multiply ?2744 (inverse ?2746))) (inverse (multiply (inverse ?2746) ?2746))) ?2746))))) =?= multiply (inverse (multiply ?2747 (inverse ?2743))) (multiply ?2747 ?2745) [2747, 2746, 2745, 2744, 2743, 2742] by Super 704 with 310 at 2,2,3
Id : 869, {_}: multiply (inverse (multiply ?3440 (inverse ?3441))) (multiply ?3440 ?3442) =?= multiply (inverse (multiply ?3443 (inverse ?3441))) (multiply ?3443 ?3442) [3443, 3442, 3441, 3440] by Demod 713 with 310 at 2,2,2
Id : 889, {_}: multiply (inverse (multiply ?3569 (inverse (multiply (multiply (multiply ?3570 (multiply ?3571 (inverse ?3572))) (inverse (multiply (inverse ?3572) ?3572))) ?3572)))) (multiply ?3569 ?3573) =>= multiply ?3570 (multiply ?3571 ?3573) [3573, 3572, 3571, 3570, 3569] by Super 869 with 310 at 1,3
Id : 881, {_}: multiply (inverse (multiply ?3517 (inverse (multiply ?3518 (inverse (multiply (multiply (multiply ?3519 (multiply ?3518 (inverse ?3520))) (inverse (multiply (inverse ?3520) ?3520))) ?3520)))))) (multiply ?3517 ?3521) =?= multiply (inverse (multiply ?3522 ?3519)) (multiply ?3522 ?3521) [3522, 3521, 3520, 3519, 3518, 3517] by Super 869 with 310 at 2,1,1,3
Id : 932, {_}: multiply (inverse (multiply ?3517 ?3519)) (multiply ?3517 ?3521) =?= multiply (inverse (multiply ?3522 ?3519)) (multiply ?3522 ?3521) [3522, 3521, 3519, 3517] by Demod 881 with 310 at 2,1,1,2
Id : 940, {_}: multiply (inverse (multiply ?3765 (inverse (multiply (multiply ?3766 (inverse (multiply (inverse (multiply ?3767 ?3768)) (multiply ?3767 ?3768)))) (multiply ?3769 ?3768))))) (multiply ?3765 (inverse (multiply ?3769 ?3768))) =>= ?3766 [3769, 3768, 3767, 3766, 3765] by Super 106 with 932 at 1,2,1,1,2,1,1,2
Id : 1923, {_}: multiply ?8185 (inverse (multiply (inverse (multiply ?8186 ?8187)) (multiply ?8186 ?8187))) =?= multiply ?8185 (inverse (multiply (inverse (multiply ?8188 ?8187)) (multiply ?8188 ?8187))) [8188, 8187, 8186, 8185] by Super 2 with 940 at 1,2
Id :   6, {_}: multiply (multiply (inverse ?20) (multiply (multiply (inverse (multiply ?21 (inverse (multiply ?20 ?22)))) (multiply ?21 (inverse ?22))) (inverse ?22))) (inverse (multiply (inverse ?22) ?22)) =>= inverse ?22 [22, 21, 20] by Super 3 with 2 at 1,1,1,2
Id : 1927, {_}: multiply ?8210 (inverse (multiply (inverse (multiply ?8211 (inverse (multiply (inverse ?8212) ?8212)))) (multiply ?8211 (inverse (multiply (inverse ?8212) ?8212))))) =?= multiply ?8210 (inverse (multiply (inverse (multiply (multiply (inverse ?8213) (multiply (multiply (inverse (multiply ?8214 (inverse (multiply ?8213 ?8212)))) (multiply ?8214 (inverse ?8212))) (inverse ?8212))) (inverse (multiply (inverse ?8212) ?8212)))) (inverse ?8212))) [8214, 8213, 8212, 8211, 8210] by Super 1923 with 6 at 2,1,2,3
Id : 2148, {_}: multiply ?9208 (inverse (multiply (inverse (multiply ?9209 (inverse (multiply (inverse ?9210) ?9210)))) (multiply ?9209 (inverse (multiply (inverse ?9210) ?9210))))) =>= multiply ?9208 (inverse (multiply (inverse (inverse ?9210)) (inverse ?9210))) [9210, 9209, 9208] by Demod 1927 with 6 at 1,1,1,2,3
Id : 2158, {_}: multiply ?9267 (inverse (multiply (inverse (multiply (multiply (inverse (multiply ?9268 (inverse (multiply ?9269 ?9270)))) (multiply ?9268 (inverse ?9270))) (inverse (multiply (inverse ?9270) ?9270)))) ?9269)) =>= multiply ?9267 (inverse (multiply (inverse (inverse ?9270)) (inverse ?9270))) [9270, 9269, 9268, 9267] by Super 2148 with 2 at 2,1,2,2
Id : 2506, {_}: multiply ?10398 (inverse (multiply (inverse ?10399) ?10399)) =?= multiply ?10398 (inverse (multiply (inverse (inverse ?10400)) (inverse ?10400))) [10400, 10399, 10398] by Demod 2158 with 2 at 1,1,1,2,2
Id : 2315, {_}: multiply ?9267 (inverse (multiply (inverse ?9269) ?9269)) =?= multiply ?9267 (inverse (multiply (inverse (inverse ?9270)) (inverse ?9270))) [9270, 9269, 9267] by Demod 2158 with 2 at 1,1,1,2,2
Id : 2522, {_}: multiply ?10486 (inverse (multiply (inverse ?10487) ?10487)) =?= multiply ?10486 (inverse (multiply (inverse ?10488) ?10488)) [10488, 10487, 10486] by Super 2506 with 2315 at 3
Id : 2588, {_}: multiply (inverse (multiply ?10821 (inverse (multiply (multiply ?10822 (inverse (multiply (inverse ?10823) ?10823))) ?10824)))) (multiply ?10821 (inverse ?10824)) =>= ?10822 [10824, 10823, 10822, 10821] by Super 106 with 2522 at 1,1,2,1,1,2
Id :   4, {_}: multiply (multiply (inverse (multiply (multiply (inverse (multiply ?10 (inverse (multiply ?11 ?12)))) (multiply ?10 (inverse ?12))) (inverse (multiply ?13 (multiply (inverse ?12) ?12))))) ?11) (inverse (multiply (inverse (multiply (inverse ?12) ?12)) (multiply (inverse ?12) ?12))) =>= ?13 [13, 12, 11, 10] by Super 3 with 2 at 2,1,2
Id : 2630, {_}: multiply (multiply (inverse (multiply ?11025 (inverse (multiply ?11026 ?11027)))) (multiply ?11025 (inverse ?11027))) (inverse (multiply (inverse ?11028) ?11028)) =>= ?11026 [11028, 11027, 11026, 11025] by Super 2 with 2522 at 2
Id : 3233, {_}: multiply (multiply (inverse ?14256) ?14256) (inverse (multiply (inverse (multiply (inverse ?14257) ?14257)) (multiply (inverse ?14257) ?14257))) =>= inverse (multiply (inverse ?14257) ?14257) [14257, 14256] by Super 4 with 2630 at 1,1,1,2
Id : 936, {_}: multiply (multiply (inverse (multiply ?3743 (inverse ?3744))) (multiply ?3743 (inverse (multiply ?3745 (inverse ?3746))))) (inverse (multiply (inverse (multiply ?3747 (inverse ?3746))) (multiply ?3747 (inverse ?3746)))) =>= inverse (multiply ?3745 (inverse (multiply (multiply ?3744 (inverse (multiply (inverse ?3746) ?3746))) ?3746))) [3747, 3746, 3745, 3744, 3743] by Super 151 with 932 at 1,2,2
Id : 3267, {_}: inverse (multiply ?14417 (inverse (multiply (multiply (multiply ?14417 (inverse ?14418)) (inverse (multiply (inverse ?14418) ?14418))) ?14418))) =>= inverse (multiply (inverse (inverse ?14418)) (inverse ?14418)) [14418, 14417] by Super 3233 with 936 at 2
Id : 10370, {_}: multiply (inverse (multiply (inverse (inverse ?33757)) (inverse ?33757))) (multiply ?33758 (inverse ?33757)) =>= multiply ?33758 (inverse ?33757) [33758, 33757] by Super 2588 with 3267 at 1,2
Id : 10371, {_}: multiply (inverse (multiply (inverse (inverse (multiply ?33760 (inverse (multiply (multiply (multiply ?33761 (multiply ?33760 (inverse ?33762))) (inverse (multiply (inverse ?33762) ?33762))) ?33762))))) (inverse (multiply ?33760 (inverse (multiply (multiply (multiply ?33761 (multiply ?33760 (inverse ?33762))) (inverse (multiply (inverse ?33762) ?33762))) ?33762)))))) (multiply ?33763 ?33761) =>= multiply ?33763 (inverse (multiply ?33760 (inverse (multiply (multiply (multiply ?33761 (multiply ?33760 (inverse ?33762))) (inverse (multiply (inverse ?33762) ?33762))) ?33762)))) [33763, 33762, 33761, 33760] by Super 10370 with 310 at 2,2,2
Id : 10491, {_}: multiply (inverse (multiply (inverse ?33761) (inverse (multiply ?33760 (inverse (multiply (multiply (multiply ?33761 (multiply ?33760 (inverse ?33762))) (inverse (multiply (inverse ?33762) ?33762))) ?33762)))))) (multiply ?33763 ?33761) =>= multiply ?33763 (inverse (multiply ?33760 (inverse (multiply (multiply (multiply ?33761 (multiply ?33760 (inverse ?33762))) (inverse (multiply (inverse ?33762) ?33762))) ?33762)))) [33763, 33762, 33760, 33761] by Demod 10371 with 310 at 1,1,1,1,2
Id : 10492, {_}: multiply (inverse (multiply (inverse ?33761) ?33761)) (multiply ?33763 ?33761) =?= multiply ?33763 (inverse (multiply ?33760 (inverse (multiply (multiply (multiply ?33761 (multiply ?33760 (inverse ?33762))) (inverse (multiply (inverse ?33762) ?33762))) ?33762)))) [33762, 33760, 33763, 33761] by Demod 10491 with 310 at 2,1,1,2
Id : 10722, {_}: multiply (inverse (multiply (inverse ?34484) ?34484)) (multiply ?34485 ?34484) =>= multiply ?34485 ?34484 [34485, 34484] by Demod 10492 with 310 at 2,3
Id : 4568, {_}: multiply (multiply (inverse ?18346) ?18346) (inverse (multiply (inverse ?18347) ?18347)) =?= inverse (multiply (inverse ?18348) ?18348) [18348, 18347, 18346] by Super 3233 with 2522 at 2
Id : 3268, {_}: multiply (multiply (inverse ?14420) ?14420) (inverse (multiply (inverse ?14421) ?14421)) =?= inverse (multiply (inverse ?14422) ?14422) [14422, 14421, 14420] by Super 3233 with 2522 at 2
Id : 4624, {_}: inverse (multiply (inverse ?18648) ?18648) =?= inverse (multiply (inverse ?18649) ?18649) [18649, 18648] by Super 4568 with 3268 at 2
Id : 11120, {_}: multiply (inverse (multiply (inverse ?35665) ?35665)) (multiply ?35666 ?35667) =>= multiply ?35666 ?35667 [35667, 35666, 35665] by Super 10722 with 4624 at 1,2
Id : 11177, {_}: multiply (inverse (multiply ?35979 ?35980)) (multiply ?35979 ?35981) =>= multiply (inverse ?35980) ?35981 [35981, 35980, 35979] by Super 11120 with 932 at 2
Id : 11545, {_}: multiply (inverse (inverse (multiply (multiply (multiply ?3570 (multiply ?3571 (inverse ?3572))) (inverse (multiply (inverse ?3572) ?3572))) ?3572))) ?3573 =>= multiply ?3570 (multiply ?3571 ?3573) [3573, 3572, 3571, 3570] by Demod 889 with 11177 at 2
Id : 11554, {_}: multiply (multiply (inverse (inverse (multiply ?11026 ?11027))) (inverse ?11027)) (inverse (multiply (inverse ?11028) ?11028)) =>= ?11026 [11028, 11027, 11026] by Demod 2630 with 11177 at 1,2
Id : 11128, {_}: multiply (inverse (multiply (inverse ?35708) ?35708)) ?35709 =?= multiply (inverse (multiply ?35710 (inverse (multiply (multiply ?35709 (inverse (multiply (inverse ?35711) ?35711))) ?35712)))) (multiply ?35710 (inverse ?35712)) [35712, 35711, 35710, 35709, 35708] by Super 11120 with 2588 at 2,2
Id : 11232, {_}: multiply (inverse (multiply (inverse ?35708) ?35708)) ?35709 =>= ?35709 [35709, 35708] by Demod 11128 with 2588 at 3
Id : 11381, {_}: inverse (multiply (inverse (multiply (inverse ?36500) ?36500)) (inverse (multiply (multiply (inverse ?36501) (inverse (multiply (inverse ?36501) ?36501))) ?36501))) =>= inverse (multiply (inverse (inverse ?36501)) (inverse ?36501)) [36501, 36500] by Super 3267 with 11232 at 1,1,1,2,1,2
Id : 11744, {_}: inverse (inverse (multiply (multiply (inverse ?37264) (inverse (multiply (inverse ?37264) ?37264))) ?37264)) =>= inverse (multiply (inverse (inverse ?37264)) (inverse ?37264)) [37264] by Demod 11381 with 11232 at 1,2
Id : 11749, {_}: inverse (inverse (multiply (multiply (inverse (multiply (inverse ?37280) ?37280)) (inverse (multiply (inverse (multiply (inverse ?37281) ?37281)) (multiply (inverse ?37280) ?37280)))) (multiply (inverse ?37280) ?37280))) =>= inverse (multiply (inverse (inverse (multiply (inverse ?37280) ?37280))) (inverse (multiply (inverse ?37280) ?37280))) [37281, 37280] by Super 11744 with 4624 at 1,1,2,1,1,1,2
Id : 12091, {_}: inverse (inverse (multiply (inverse (multiply (inverse (multiply (inverse ?37281) ?37281)) (multiply (inverse ?37280) ?37280))) (multiply (inverse ?37280) ?37280))) =>= inverse (multiply (inverse (inverse (multiply (inverse ?37280) ?37280))) (inverse (multiply (inverse ?37280) ?37280))) [37280, 37281] by Demod 11749 with 11232 at 1,1,1,2
Id : 12092, {_}: inverse (inverse (multiply (inverse (multiply (inverse ?37280) ?37280)) (multiply (inverse ?37280) ?37280))) =<= inverse (multiply (inverse (inverse (multiply (inverse ?37280) ?37280))) (inverse (multiply (inverse ?37280) ?37280))) [37280] by Demod 12091 with 11232 at 1,1,1,1,2
Id : 12093, {_}: inverse (inverse (multiply (inverse ?37280) ?37280)) =<= inverse (multiply (inverse (inverse (multiply (inverse ?37280) ?37280))) (inverse (multiply (inverse ?37280) ?37280))) [37280] by Demod 12092 with 11177 at 1,1,2
Id : 11551, {_}: multiply (multiply (inverse (inverse ?16)) (inverse (inverse (multiply (inverse ?17) ?17)))) (inverse (multiply (inverse (inverse (multiply (inverse ?17) ?17))) (inverse (multiply (inverse ?17) ?17)))) =?= multiply (inverse (multiply ?18 (inverse (multiply ?16 ?17)))) (multiply ?18 (inverse ?17)) [18, 17, 16] by Demod 5 with 11177 at 1,2
Id : 11552, {_}: multiply (multiply (inverse (inverse ?16)) (inverse (inverse (multiply (inverse ?17) ?17)))) (inverse (multiply (inverse (inverse (multiply (inverse ?17) ?17))) (inverse (multiply (inverse ?17) ?17)))) =>= multiply (inverse (inverse (multiply ?16 ?17))) (inverse ?17) [17, 16] by Demod 11551 with 11177 at 3
Id : 11582, {_}: multiply (multiply (inverse (inverse ?36802)) (inverse (inverse (multiply (inverse (multiply ?36803 ?36804)) (multiply ?36803 ?36804))))) (inverse (multiply (inverse (inverse (multiply (inverse (multiply ?36803 ?36804)) (multiply ?36803 ?36804)))) (inverse (multiply (inverse ?36804) ?36804)))) =>= multiply (inverse (inverse (multiply ?36802 (multiply ?36803 ?36804)))) (inverse (multiply ?36803 ?36804)) [36804, 36803, 36802] by Super 11552 with 11177 at 1,2,1,2,2
Id : 11639, {_}: multiply (multiply (inverse (inverse ?36802)) (inverse (inverse (multiply (inverse ?36804) ?36804)))) (inverse (multiply (inverse (inverse (multiply (inverse (multiply ?36803 ?36804)) (multiply ?36803 ?36804)))) (inverse (multiply (inverse ?36804) ?36804)))) =>= multiply (inverse (inverse (multiply ?36802 (multiply ?36803 ?36804)))) (inverse (multiply ?36803 ?36804)) [36803, 36804, 36802] by Demod 11582 with 11177 at 1,1,2,1,2
Id : 11640, {_}: multiply (multiply (inverse (inverse ?36802)) (inverse (inverse (multiply (inverse ?36804) ?36804)))) (inverse (multiply (inverse (inverse (multiply (inverse ?36804) ?36804))) (inverse (multiply (inverse ?36804) ?36804)))) =?= multiply (inverse (inverse (multiply ?36802 (multiply ?36803 ?36804)))) (inverse (multiply ?36803 ?36804)) [36803, 36804, 36802] by Demod 11639 with 11177 at 1,1,1,1,2,2
Id : 12633, {_}: multiply (inverse (inverse (multiply ?38022 ?38023))) (inverse ?38023) =<= multiply (inverse (inverse (multiply ?38022 (multiply ?38024 ?38023)))) (inverse (multiply ?38024 ?38023)) [38024, 38023, 38022] by Demod 11640 with 11552 at 2
Id : 12674, {_}: multiply (inverse (inverse (multiply (inverse (multiply (inverse ?38213) ?38213)) ?38214))) (inverse ?38214) =?= multiply (inverse (inverse (multiply ?38215 ?38214))) (inverse (multiply ?38215 ?38214)) [38215, 38214, 38213] by Super 12633 with 11232 at 1,1,1,3
Id : 12741, {_}: multiply (inverse (inverse ?38214)) (inverse ?38214) =<= multiply (inverse (inverse (multiply ?38215 ?38214))) (inverse (multiply ?38215 ?38214)) [38215, 38214] by Demod 12674 with 11232 at 1,1,1,2
Id : 12768, {_}: multiply (inverse (inverse (multiply (inverse ?38347) ?38347))) (inverse (multiply (inverse ?38348) ?38348)) =>= multiply (inverse (inverse ?38347)) (inverse ?38347) [38348, 38347] by Super 2522 with 12741 at 3
Id : 13687, {_}: inverse (inverse (multiply (inverse ?37280) ?37280)) =<= inverse (multiply (inverse (inverse ?37280)) (inverse ?37280)) [37280] by Demod 12093 with 12768 at 1,3
Id : 13761, {_}: multiply (inverse (inverse (multiply (inverse ?40444) ?40444))) ?40445 =>= ?40445 [40445, 40444] by Super 11232 with 13687 at 1,2
Id : 14411, {_}: multiply (inverse ?41330) (inverse (multiply (inverse ?41331) ?41331)) =>= inverse ?41330 [41331, 41330] by Super 11554 with 13761 at 1,2
Id : 14443, {_}: multiply ?41451 (inverse (multiply (inverse ?41452) ?41452)) =?= inverse (multiply ?41453 (inverse (multiply (multiply (multiply ?41451 (multiply ?41453 (inverse ?41454))) (inverse (multiply (inverse ?41454) ?41454))) ?41454))) [41454, 41453, 41452, 41451] by Super 14411 with 310 at 1,2
Id : 14559, {_}: multiply ?41451 (inverse (multiply (inverse ?41452) ?41452)) =>= ?41451 [41452, 41451] by Demod 14443 with 310 at 3
Id : 15251, {_}: multiply (inverse (inverse (multiply (multiply ?3570 (multiply ?3571 (inverse ?3572))) ?3572))) ?3573 =>= multiply ?3570 (multiply ?3571 ?3573) [3573, 3572, 3571, 3570] by Demod 11545 with 14559 at 1,1,1,1,2
Id : 12748, {_}: multiply (multiply (inverse (inverse ?16)) (inverse (inverse (multiply (inverse ?17) ?17)))) (inverse (multiply (inverse (inverse ?17)) (inverse ?17))) =>= multiply (inverse (inverse (multiply ?16 ?17))) (inverse ?17) [17, 16] by Demod 11552 with 12741 at 1,2,2
Id : 13691, {_}: multiply (multiply (inverse (inverse ?16)) (inverse (inverse (multiply (inverse ?17) ?17)))) (inverse (inverse (multiply (inverse ?17) ?17))) =>= multiply (inverse (inverse (multiply ?16 ?17))) (inverse ?17) [17, 16] by Demod 12748 with 13687 at 2,2
Id : 15249, {_}: multiply (inverse (inverse (multiply ?11026 ?11027))) (inverse ?11027) =>= ?11026 [11027, 11026] by Demod 11554 with 14559 at 2
Id : 15257, {_}: multiply (multiply (inverse (inverse ?16)) (inverse (inverse (multiply (inverse ?17) ?17)))) (inverse (inverse (multiply (inverse ?17) ?17))) =>= ?16 [17, 16] by Demod 13691 with 15249 at 3
Id : 15282, {_}: multiply (inverse (multiply ?41944 ?41945)) ?41944 =?= multiply (inverse ?41945) (inverse (multiply (inverse ?41946) ?41946)) [41946, 41945, 41944] by Super 11177 with 14559 at 2,2
Id : 15420, {_}: multiply (inverse (multiply ?42198 ?42199)) ?42198 =>= inverse ?42199 [42199, 42198] by Demod 15282 with 14559 at 3
Id : 11550, {_}: multiply (multiply (inverse ?20) (multiply (multiply (inverse (inverse (multiply ?20 ?22))) (inverse ?22)) (inverse ?22))) (inverse (multiply (inverse ?22) ?22)) =>= inverse ?22 [22, 20] by Demod 6 with 11177 at 1,2,1,2
Id : 15240, {_}: multiply (inverse ?20) (multiply (multiply (inverse (inverse (multiply ?20 ?22))) (inverse ?22)) (inverse ?22)) =>= inverse ?22 [22, 20] by Demod 11550 with 14559 at 2
Id : 15260, {_}: multiply (inverse ?20) (multiply ?20 (inverse ?22)) =>= inverse ?22 [22, 20] by Demod 15240 with 15249 at 1,2,2
Id : 15431, {_}: multiply (inverse (inverse ?42235)) (inverse ?42236) =>= inverse (multiply ?42236 (inverse ?42235)) [42236, 42235] by Super 15420 with 15260 at 1,1,2
Id : 15458, {_}: multiply (inverse (multiply (inverse (multiply (inverse ?17) ?17)) (inverse ?16))) (inverse (inverse (multiply (inverse ?17) ?17))) =>= ?16 [16, 17] by Demod 15257 with 15431 at 1,2
Id : 15463, {_}: multiply (inverse (inverse ?16)) (inverse (inverse (multiply (inverse ?17) ?17))) =>= ?16 [17, 16] by Demod 15458 with 11232 at 1,1,2
Id : 15464, {_}: inverse (multiply (inverse (multiply (inverse ?17) ?17)) (inverse ?16)) =>= ?16 [16, 17] by Demod 15463 with 15431 at 2
Id : 15465, {_}: inverse (inverse ?16) =>= ?16 [16] by Demod 15464 with 11232 at 1,2
Id : 15473, {_}: multiply (multiply (multiply ?3570 (multiply ?3571 (inverse ?3572))) ?3572) ?3573 =>= multiply ?3570 (multiply ?3571 ?3573) [3573, 3572, 3571, 3570] by Demod 15251 with 15465 at 1,2
Id : 15357, {_}: multiply (inverse (multiply ?41944 ?41945)) ?41944 =>= inverse ?41945 [41945, 41944] by Demod 15282 with 14559 at 3
Id : 15476, {_}: multiply ?42235 (inverse ?42236) =<= inverse (multiply ?42236 (inverse ?42235)) [42236, 42235] by Demod 15431 with 15465 at 1,2
Id : 15513, {_}: multiply (multiply ?42367 (inverse ?42368)) ?42368 =>= inverse (inverse ?42367) [42368, 42367] by Super 15357 with 15476 at 1,2
Id : 15781, {_}: multiply (multiply ?42827 (inverse ?42828)) ?42828 =>= ?42827 [42828, 42827] by Demod 15513 with 15465 at 3
Id : 10493, {_}: multiply (inverse (multiply (inverse ?33761) ?33761)) (multiply ?33763 ?33761) =>= multiply ?33763 ?33761 [33763, 33761] by Demod 10492 with 310 at 2,3
Id : 10681, {_}: multiply (inverse (multiply ?34328 ?34329)) (multiply ?34328 ?34329) =>= multiply (inverse ?34329) ?34329 [34329, 34328] by Super 932 with 10493 at 3
Id : 10817, {_}: multiply (multiply (inverse (multiply ?3743 (inverse ?3744))) (multiply ?3743 (inverse (multiply ?3745 (inverse ?3746))))) (inverse (multiply (inverse (inverse ?3746)) (inverse ?3746))) =>= inverse (multiply ?3745 (inverse (multiply (multiply ?3744 (inverse (multiply (inverse ?3746) ?3746))) ?3746))) [3746, 3745, 3744, 3743] by Demod 936 with 10681 at 1,2,2
Id : 11537, {_}: multiply (multiply (inverse (inverse ?3744)) (inverse (multiply ?3745 (inverse ?3746)))) (inverse (multiply (inverse (inverse ?3746)) (inverse ?3746))) =>= inverse (multiply ?3745 (inverse (multiply (multiply ?3744 (inverse (multiply (inverse ?3746) ?3746))) ?3746))) [3746, 3745, 3744] by Demod 10817 with 11177 at 1,2
Id : 13689, {_}: multiply (multiply (inverse (inverse ?3744)) (inverse (multiply ?3745 (inverse ?3746)))) (inverse (inverse (multiply (inverse ?3746) ?3746))) =>= inverse (multiply ?3745 (inverse (multiply (multiply ?3744 (inverse (multiply (inverse ?3746) ?3746))) ?3746))) [3746, 3745, 3744] by Demod 11537 with 13687 at 2,2
Id : 15253, {_}: multiply (multiply (inverse (inverse ?3744)) (inverse (multiply ?3745 (inverse ?3746)))) (inverse (inverse (multiply (inverse ?3746) ?3746))) =>= inverse (multiply ?3745 (inverse (multiply ?3744 ?3746))) [3746, 3745, 3744] by Demod 13689 with 14559 at 1,1,2,1,3
Id : 15461, {_}: multiply (inverse (multiply (multiply ?3745 (inverse ?3746)) (inverse ?3744))) (inverse (inverse (multiply (inverse ?3746) ?3746))) =>= inverse (multiply ?3745 (inverse (multiply ?3744 ?3746))) [3744, 3746, 3745] by Demod 15253 with 15431 at 1,2
Id : 15475, {_}: multiply (inverse (multiply (multiply ?3745 (inverse ?3746)) (inverse ?3744))) (multiply (inverse ?3746) ?3746) =>= inverse (multiply ?3745 (inverse (multiply ?3744 ?3746))) [3744, 3746, 3745] by Demod 15461 with 15465 at 2,2
Id : 15482, {_}: multiply (multiply ?3744 (inverse (multiply ?3745 (inverse ?3746)))) (multiply (inverse ?3746) ?3746) =>= inverse (multiply ?3745 (inverse (multiply ?3744 ?3746))) [3746, 3745, 3744] by Demod 15475 with 15476 at 1,2
Id : 15483, {_}: multiply (multiply ?3744 (inverse (multiply ?3745 (inverse ?3746)))) (multiply (inverse ?3746) ?3746) =>= multiply (multiply ?3744 ?3746) (inverse ?3745) [3746, 3745, 3744] by Demod 15482 with 15476 at 3
Id : 15484, {_}: multiply (multiply ?3744 (multiply ?3746 (inverse ?3745))) (multiply (inverse ?3746) ?3746) =>= multiply (multiply ?3744 ?3746) (inverse ?3745) [3745, 3746, 3744] by Demod 15483 with 15476 at 2,1,2
Id : 10647, {_}: multiply (multiply (inverse (multiply (multiply (inverse (multiply ?10 (inverse (multiply ?11 ?12)))) (multiply ?10 (inverse ?12))) (inverse (multiply ?13 (multiply (inverse ?12) ?12))))) ?11) (inverse (multiply (inverse ?12) ?12)) =>= ?13 [13, 12, 11, 10] by Demod 4 with 10493 at 1,2,2
Id : 11538, {_}: multiply (multiply (inverse (multiply (multiply (inverse (inverse (multiply ?11 ?12))) (inverse ?12)) (inverse (multiply ?13 (multiply (inverse ?12) ?12))))) ?11) (inverse (multiply (inverse ?12) ?12)) =>= ?13 [13, 12, 11] by Demod 10647 with 11177 at 1,1,1,1,2
Id : 15252, {_}: multiply (inverse (multiply (multiply (inverse (inverse (multiply ?11 ?12))) (inverse ?12)) (inverse (multiply ?13 (multiply (inverse ?12) ?12))))) ?11 =>= ?13 [13, 12, 11] by Demod 11538 with 14559 at 2
Id : 15256, {_}: multiply (inverse (multiply ?11 (inverse (multiply ?13 (multiply (inverse ?12) ?12))))) ?11 =>= ?13 [12, 13, 11] by Demod 15252 with 15249 at 1,1,1,2
Id : 15404, {_}: inverse (inverse (multiply ?13 (multiply (inverse ?12) ?12))) =>= ?13 [12, 13] by Demod 15256 with 15357 at 2
Id : 15466, {_}: multiply ?13 (multiply (inverse ?12) ?12) =>= ?13 [12, 13] by Demod 15404 with 15465 at 2
Id : 15487, {_}: multiply ?3744 (multiply ?3746 (inverse ?3745)) =?= multiply (multiply ?3744 ?3746) (inverse ?3745) [3745, 3746, 3744] by Demod 15484 with 15466 at 2
Id : 15796, {_}: multiply (multiply ?42876 (multiply ?42877 (inverse ?42878))) ?42878 =>= multiply ?42876 ?42877 [42878, 42877, 42876] by Super 15781 with 15487 at 1,2
Id : 17134, {_}: multiply (multiply ?3570 ?3571) ?3573 =?= multiply ?3570 (multiply ?3571 ?3573) [3573, 3571, 3570] by Demod 15473 with 15796 at 1,2
Id : 17261, {_}: multiply a3 (multiply b3 c3) === multiply a3 (multiply b3 c3) [] by Demod 1 with 17134 at 2
Id :   1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% SZS output end CNFRefutation for GRP411-1.p
8893: solved GRP411-1.p in 9.008562 using nrkbo
!! infer_left                                      79    0.0001    0.0000    0.0000
!! infer_right                                     80   42.2627    1.9371    0.5283
!! simplify_goal                                   80    0.0052    0.0002    0.0001
!! keep_simplified                                179    2.3725    0.4327    0.0133
!! simplification_step                            244    2.3706    0.4131    0.0097
!! simplify                                     11241   39.8396    0.4077    0.0035
!! orphan_murder                                  387    0.0058    0.0004    0.0000
!! is_subsumed                                   9905    1.5728    0.4002    0.0002
!! build_new_clause                              9344    3.2040    0.4012    0.0003
!! demodulate                                   11151   38.2308    0.4076    0.0034
!! demod                                       330026   31.7158    0.4043    0.0001
!! demod.apply_subst                           243766    5.9414    0.4041    0.0000
!! demod.compare_terms                         113340    3.8778    0.4042    0.0000
!! demod.retrieve_generalizations              330026   13.9509    0.4004    0.0000
!! demod.unify                                 210438    4.4844    0.4002    0.0000
!! build_clause                                 17898    5.2963    0.4012    0.0003
!! compare_terms(nrkbo)                        136240    7.7503    0.4042    0.0001
!! compare_terms(nrkbo)                             2    0.0001    0.0000    0.0000
8910: Facts:
8910:  Id :   2, {_}:
          inverse
            (multiply
              (inverse
                (multiply ?2
                  (inverse
                    (multiply (inverse ?3)
                      (inverse
                        (multiply ?4 (inverse (multiply (inverse ?4) ?4))))))))
              (multiply ?2 ?4))
          =>=
          ?3
          [4, 3, 2] by single_axiom ?2 ?3 ?4
8910: Goal:
8910:  Id :   1, {_}:
          multiply (multiply (inverse b2) b2) a2 =>= a2
          [] by prove_these_axioms_2
% SZS status Timeout for GRP419-1.p
8966: Facts:
8966:  Id :   2, {_}:
          inverse
            (multiply
              (inverse
                (multiply ?2
                  (inverse
                    (multiply (inverse ?3)
                      (inverse
                        (multiply ?4 (inverse (multiply (inverse ?4) ?4))))))))
              (multiply ?2 ?4))
          =>=
          ?3
          [4, 3, 2] by single_axiom ?2 ?3 ?4
8966: Goal:
8966:  Id :   1, {_}:
          multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
          [] by prove_these_axioms_3
% SZS status Timeout for GRP420-1.p
9004: Facts:
9004:  Id :   2, {_}:
          inverse
            (multiply
              (inverse
                (multiply ?2
                  (inverse
                    (multiply (inverse ?3)
                      (multiply (inverse ?4)
                        (inverse (multiply (inverse ?4) ?4)))))))
              (multiply ?2 ?4))
          =>=
          ?3
          [4, 3, 2] by single_axiom ?2 ?3 ?4
9004: Goal:
9004:  Id :   1, {_}:
          multiply (multiply (inverse b2) b2) a2 =>= a2
          [] by prove_these_axioms_2
% SZS status Timeout for GRP422-1.p
9031: Facts:
9031:  Id :   2, {_}:
          inverse
            (multiply
              (inverse
                (multiply ?2
                  (inverse
                    (multiply (inverse ?3)
                      (multiply (inverse ?4)
                        (inverse (multiply (inverse ?4) ?4)))))))
              (multiply ?2 ?4))
          =>=
          ?3
          [4, 3, 2] by single_axiom ?2 ?3 ?4
9031: Goal:
9031:  Id :   1, {_}:
          multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
          [] by prove_these_axioms_3
% SZS status Timeout for GRP423-1.p
9069: Facts:
9069:  Id :   2, {_}:
          multiply ?2
            (inverse
              (multiply
                (multiply
                  (inverse (multiply (inverse ?3) (multiply (inverse ?2) ?4)))
                  ?5) (inverse (multiply ?3 ?5))))
          =>=
          ?4
          [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
9069: Goal:
9069:  Id :   1, {_}:
          multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
          [] by prove_these_axioms_3
Statistics :
Max weight : 50
Found proof, 27.796481s
% SZS status Unsatisfiable for GRP429-1.p
% SZS output start CNFRefutation for GRP429-1.p
Id :   3, {_}: multiply ?7 (inverse (multiply (multiply (inverse (multiply (inverse ?8) (multiply (inverse ?7) ?9))) ?10) (inverse (multiply ?8 ?10)))) =>= ?9 [10, 9, 8, 7] by single_axiom ?7 ?8 ?9 ?10
Id :   2, {_}: multiply ?2 (inverse (multiply (multiply (inverse (multiply (inverse ?3) (multiply (inverse ?2) ?4))) ?5) (inverse (multiply ?3 ?5)))) =>= ?4 [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
Id :   5, {_}: multiply ?19 (inverse (multiply (multiply (inverse (multiply (inverse ?20) ?21)) ?22) (inverse (multiply ?20 ?22)))) =?= inverse (multiply (multiply (inverse (multiply (inverse ?23) (multiply (inverse (inverse ?19)) ?21))) ?24) (inverse (multiply ?23 ?24))) [24, 23, 22, 21, 20, 19] by Super 3 with 2 at 2,1,1,1,1,2,2
Id :  28, {_}: multiply (inverse ?215) (multiply ?215 (inverse (multiply (multiply (inverse (multiply (inverse ?216) ?217)) ?218) (inverse (multiply ?216 ?218))))) =>= ?217 [218, 217, 216, 215] by Super 2 with 5 at 2,2
Id :  29, {_}: inverse (multiply (multiply (inverse (multiply (inverse ?220) (multiply (inverse (inverse ?221)) (multiply (inverse ?221) ?222)))) ?223) (inverse (multiply ?220 ?223))) =>= ?222 [223, 222, 221, 220] by Super 2 with 5 at 2
Id : 282, {_}: multiply (inverse ?2263) (multiply ?2263 ?2264) =?= multiply (inverse (inverse ?2265)) (multiply (inverse ?2265) ?2264) [2265, 2264, 2263] by Super 28 with 29 at 2,2,2
Id : 134, {_}: multiply (inverse ?1132) (multiply ?1132 ?1133) =?= multiply (inverse (inverse ?1134)) (multiply (inverse ?1134) ?1133) [1134, 1133, 1132] by Super 28 with 29 at 2,2,2
Id : 296, {_}: multiply (inverse ?2354) (multiply ?2354 ?2355) =?= multiply (inverse ?2356) (multiply ?2356 ?2355) [2356, 2355, 2354] by Super 282 with 134 at 3
Id : 344, {_}: multiply (inverse ?2537) (multiply ?2537 (inverse (multiply (multiply (inverse (multiply (inverse ?2538) (multiply ?2538 ?2539))) ?2540) (inverse (multiply ?2541 ?2540))))) =>= multiply ?2541 ?2539 [2541, 2540, 2539, 2538, 2537] by Super 28 with 296 at 1,1,1,1,2,2,2
Id : 346, {_}: multiply (inverse ?2549) (multiply ?2549 (inverse (multiply (multiply (inverse ?2550) (multiply ?2550 ?2551)) (inverse (multiply ?2552 (multiply (multiply (inverse ?2552) ?2553) ?2551)))))) =>= ?2553 [2553, 2552, 2551, 2550, 2549] by Super 28 with 296 at 1,1,2,2,2
Id : 368, {_}: multiply ?2697 (inverse (multiply (multiply (inverse ?2698) (multiply ?2698 ?2699)) (inverse (multiply ?2700 (multiply (multiply (inverse ?2700) (multiply (inverse ?2697) ?2701)) ?2699))))) =>= ?2701 [2701, 2700, 2699, 2698, 2697] by Super 2 with 296 at 1,1,2,2
Id : 662, {_}: multiply ?5104 (inverse (multiply (multiply (inverse (multiply (inverse ?5105) (multiply ?5105 ?5106))) ?5107) (inverse (multiply (inverse ?5104) ?5107)))) =>= ?5106 [5107, 5106, 5105, 5104] by Super 2 with 296 at 1,1,1,1,2,2
Id : 3909, {_}: multiply ?31947 (inverse (multiply (multiply (inverse (multiply (inverse ?31948) (multiply ?31948 ?31949))) (multiply ?31947 ?31950)) (inverse (multiply (inverse ?31951) (multiply ?31951 ?31950))))) =>= ?31949 [31951, 31950, 31949, 31948, 31947] by Super 662 with 296 at 1,2,1,2,2
Id : 4008, {_}: multiply (multiply (inverse ?32831) (multiply ?32831 ?32832)) (inverse (multiply ?32833 (inverse (multiply (inverse ?32834) (multiply ?32834 (inverse (multiply (multiply (inverse (multiply (inverse ?32835) ?32833)) ?32836) (inverse (multiply ?32835 ?32836))))))))) =>= ?32832 [32836, 32835, 32834, 32833, 32832, 32831] by Super 3909 with 28 at 1,1,2,2
Id : 4051, {_}: multiply (multiply (inverse ?32831) (multiply ?32831 ?32832)) (inverse (multiply ?32833 (inverse ?32833))) =>= ?32832 [32833, 32832, 32831] by Demod 4008 with 28 at 1,2,1,2,2
Id : 4057, {_}: multiply ?32935 (inverse (multiply (multiply (inverse ?32936) (multiply ?32936 (inverse (multiply ?32937 (inverse ?32937))))) (inverse (multiply (inverse ?32935) ?32938)))) =>= ?32938 [32938, 32937, 32936, 32935] by Super 368 with 4051 at 2,1,2,1,2,2
Id : 7979, {_}: multiply (inverse ?61641) (multiply (multiply (inverse (inverse ?61641)) ?61642) (inverse (multiply ?61643 (inverse ?61643)))) =>= ?61642 [61643, 61642, 61641] by Super 346 with 4057 at 2,2
Id : 4387, {_}: multiply ?35216 (inverse (multiply (multiply (inverse ?35217) (multiply ?35217 (inverse (multiply ?35218 (inverse ?35218))))) (inverse (multiply (inverse ?35216) ?35219)))) =>= ?35219 [35219, 35218, 35217, 35216] by Super 368 with 4051 at 2,1,2,1,2,2
Id : 4442, {_}: multiply ?35663 (inverse (inverse (multiply ?35664 (inverse ?35664)))) =>= inverse (inverse ?35663) [35664, 35663] by Super 4387 with 4051 at 1,2,2
Id : 4524, {_}: multiply (inverse ?36035) (multiply ?36035 (inverse (inverse (multiply ?36036 (inverse ?36036))))) =?= multiply (inverse ?36037) (inverse (inverse ?36037)) [36037, 36036, 36035] by Super 296 with 4442 at 2,3
Id : 5437, {_}: multiply (inverse ?42822) (inverse (inverse ?42822)) =?= multiply (inverse ?42823) (inverse (inverse ?42823)) [42823, 42822] by Demod 4524 with 4442 at 2,2
Id : 136, {_}: inverse (multiply (multiply (inverse (multiply (inverse ?1144) (multiply (inverse (inverse ?1145)) (multiply (inverse ?1145) ?1146)))) ?1147) (inverse (multiply ?1144 ?1147))) =>= ?1146 [1147, 1146, 1145, 1144] by Super 2 with 5 at 2
Id : 143, {_}: inverse (multiply (multiply (inverse (multiply (inverse ?1197) (multiply (inverse (inverse (multiply (multiply (inverse (multiply (inverse ?1198) (multiply (inverse (inverse ?1199)) (multiply (inverse ?1199) ?1200)))) ?1201) (inverse (multiply ?1198 ?1201))))) (multiply ?1200 ?1202)))) ?1203) (inverse (multiply ?1197 ?1203))) =>= ?1202 [1203, 1202, 1201, 1200, 1199, 1198, 1197] by Super 136 with 29 at 1,2,2,1,1,1,1,2
Id : 165, {_}: inverse (multiply (multiply (inverse (multiply (inverse ?1197) (multiply (inverse ?1200) (multiply ?1200 ?1202)))) ?1203) (inverse (multiply ?1197 ?1203))) =>= ?1202 [1203, 1202, 1200, 1197] by Demod 143 with 29 at 1,1,2,1,1,1,1,2
Id : 5438, {_}: multiply (inverse ?42825) (inverse (inverse ?42825)) =?= multiply (inverse (multiply (multiply (inverse (multiply (inverse ?42826) (multiply (inverse ?42827) (multiply ?42827 ?42828)))) ?42829) (inverse (multiply ?42826 ?42829)))) (inverse ?42828) [42829, 42828, 42827, 42826, 42825] by Super 5437 with 165 at 1,2,3
Id : 5708, {_}: multiply (inverse ?44413) (inverse (inverse ?44413)) =?= multiply ?44414 (inverse ?44414) [44414, 44413] by Demod 5438 with 165 at 1,3
Id : 5484, {_}: multiply (inverse ?42825) (inverse (inverse ?42825)) =?= multiply ?42828 (inverse ?42828) [42828, 42825] by Demod 5438 with 165 at 1,3
Id : 5735, {_}: multiply ?44582 (inverse ?44582) =?= multiply ?44583 (inverse ?44583) [44583, 44582] by Super 5708 with 5484 at 2
Id : 8238, {_}: multiply (inverse ?63214) (multiply ?63215 (inverse ?63215)) =>= inverse (inverse (inverse ?63214)) [63215, 63214] by Super 7979 with 5735 at 2,2
Id : 8269, {_}: multiply (inverse ?63378) (multiply ?63378 (inverse ?63379)) =>= inverse (inverse (inverse ?63379)) [63379, 63378] by Super 8238 with 296 at 2
Id : 8601, {_}: inverse (inverse (inverse (multiply (multiply (inverse (multiply (inverse ?2538) (multiply ?2538 ?2539))) ?2540) (inverse (multiply ?2541 ?2540))))) =>= multiply ?2541 ?2539 [2541, 2540, 2539, 2538] by Demod 344 with 8269 at 2
Id : 8750, {_}: multiply (inverse ?65557) (multiply ?65557 (inverse ?65558)) =>= inverse (inverse (inverse ?65558)) [65558, 65557] by Super 8238 with 296 at 2
Id : 8602, {_}: inverse (inverse (inverse (multiply (multiply (inverse (multiply (inverse ?216) ?217)) ?218) (inverse (multiply ?216 ?218))))) =>= ?217 [218, 217, 216] by Demod 28 with 8269 at 2
Id : 8758, {_}: multiply (inverse ?65597) (multiply ?65597 ?65598) =?= inverse (inverse (inverse (inverse (inverse (multiply (multiply (inverse (multiply (inverse ?65599) ?65598)) ?65600) (inverse (multiply ?65599 ?65600))))))) [65600, 65599, 65598, 65597] by Super 8750 with 8602 at 2,2,2
Id : 8828, {_}: multiply (inverse ?65597) (multiply ?65597 ?65598) =>= inverse (inverse ?65598) [65598, 65597] by Demod 8758 with 8602 at 1,1,3
Id : 8847, {_}: inverse (inverse (inverse (multiply (multiply (inverse (inverse (inverse ?2539))) ?2540) (inverse (multiply ?2541 ?2540))))) =>= multiply ?2541 ?2539 [2541, 2540, 2539] by Demod 8601 with 8828 at 1,1,1,1,1,1,2
Id : 8604, {_}: multiply ?32935 (inverse (multiply (inverse (inverse (inverse (multiply ?32937 (inverse ?32937))))) (inverse (multiply (inverse ?32935) ?32938)))) =>= ?32938 [32938, 32937, 32935] by Demod 4057 with 8269 at 1,1,2,2
Id : 8966, {_}: multiply ?66589 (inverse (multiply (inverse (inverse (inverse (multiply ?66590 (inverse ?66590))))) (inverse (inverse (inverse ?66591))))) =>= multiply ?66589 ?66591 [66591, 66590, 66589] by Super 8604 with 8828 at 1,2,1,2,2
Id :  91, {_}: multiply (inverse ?814) (multiply ?814 (inverse (multiply (multiply (inverse (multiply (inverse ?815) ?816)) ?817) (inverse (multiply ?815 ?817))))) =>= ?816 [817, 816, 815, 814] by Super 2 with 5 at 2,2
Id : 759, {_}: multiply (inverse ?5818) (multiply ?5818 (multiply ?5819 (inverse (multiply (multiply (inverse (multiply (inverse ?5820) ?5821)) ?5822) (inverse (multiply ?5820 ?5822)))))) =>= multiply (inverse (inverse ?5819)) ?5821 [5822, 5821, 5820, 5819, 5818] by Super 91 with 5 at 2,2,2
Id : 795, {_}: multiply (inverse ?6138) (multiply ?6138 (multiply ?6139 ?6140)) =?= multiply (inverse (inverse ?6139)) (multiply (inverse ?6141) (multiply ?6141 ?6140)) [6141, 6140, 6139, 6138] by Super 759 with 165 at 2,2,2,2
Id : 8860, {_}: inverse (inverse (multiply ?6139 ?6140)) =<= multiply (inverse (inverse ?6139)) (multiply (inverse ?6141) (multiply ?6141 ?6140)) [6141, 6140, 6139] by Demod 795 with 8828 at 2
Id : 8861, {_}: inverse (inverse (multiply ?6139 ?6140)) =<= multiply (inverse (inverse ?6139)) (inverse (inverse ?6140)) [6140, 6139] by Demod 8860 with 8828 at 2,3
Id : 9170, {_}: multiply ?67690 (inverse (inverse (inverse (multiply (inverse (multiply ?67691 (inverse ?67691))) (inverse ?67692))))) =>= multiply ?67690 ?67692 [67692, 67691, 67690] by Demod 8966 with 8861 at 1,2,2
Id : 5733, {_}: inverse (inverse (inverse (multiply ?44576 (inverse ?44576)))) =?= multiply ?44577 (inverse ?44577) [44577, 44576] by Super 5708 with 4442 at 2
Id : 9232, {_}: multiply ?68073 (multiply ?68074 (inverse ?68074)) =?= multiply ?68073 (inverse (multiply ?68075 (inverse ?68075))) [68075, 68074, 68073] by Super 9170 with 5733 at 2,2
Id : 4096, {_}: multiply (multiply (inverse ?33196) (multiply ?33196 ?33197)) (inverse (multiply ?33198 (inverse ?33198))) =>= ?33197 [33198, 33197, 33196] by Demod 4008 with 28 at 1,2,1,2,2
Id : 4115, {_}: multiply (multiply (inverse (inverse ?33353)) (multiply (inverse ?33354) (multiply ?33354 ?33355))) (inverse (multiply ?33356 (inverse ?33356))) =>= multiply ?33353 ?33355 [33356, 33355, 33354, 33353] by Super 4096 with 296 at 2,1,2
Id : 8052, {_}: multiply (inverse ?62093) (multiply ?62094 (inverse ?62094)) =>= inverse (inverse (inverse ?62093)) [62094, 62093] by Super 7979 with 5735 at 2,2
Id : 8086, {_}: multiply (multiply (inverse (inverse ?62180)) (multiply (inverse (inverse ?62181)) (inverse (inverse (inverse ?62181))))) (inverse (multiply ?62182 (inverse ?62182))) =?= multiply ?62180 (multiply ?62183 (inverse ?62183)) [62183, 62182, 62181, 62180] by Super 4115 with 8052 at 2,2,1,2
Id : 7363, {_}: multiply (multiply (inverse ?57709) (multiply ?57710 (inverse ?57710))) (inverse (multiply ?57711 (inverse ?57711))) =>= inverse ?57709 [57711, 57710, 57709] by Super 4051 with 5735 at 2,1,2
Id : 7398, {_}: multiply (multiply ?57925 (multiply ?57926 (inverse ?57926))) (inverse (multiply ?57927 (inverse ?57927))) =?= inverse (multiply (multiply (inverse (multiply (inverse ?57928) (multiply (inverse ?57929) (multiply ?57929 ?57925)))) ?57930) (inverse (multiply ?57928 ?57930))) [57930, 57929, 57928, 57927, 57926, 57925] by Super 7363 with 165 at 1,1,2
Id : 7426, {_}: multiply (multiply ?57925 (multiply ?57926 (inverse ?57926))) (inverse (multiply ?57927 (inverse ?57927))) =>= ?57925 [57927, 57926, 57925] by Demod 7398 with 165 at 3
Id : 8315, {_}: inverse (inverse ?62180) =<= multiply ?62180 (multiply ?62183 (inverse ?62183)) [62183, 62180] by Demod 8086 with 7426 at 2
Id : 9361, {_}: inverse (inverse ?68073) =<= multiply ?68073 (inverse (multiply ?68075 (inverse ?68075))) [68075, 68073] by Demod 9232 with 8315 at 2
Id : 9874, {_}: inverse (inverse (inverse (multiply (multiply (inverse (inverse (inverse ?72732))) (inverse (multiply ?72733 (inverse ?72733)))) (inverse (inverse (inverse ?72734)))))) =>= multiply ?72734 ?72732 [72734, 72733, 72732] by Super 8847 with 9361 at 1,2,1,1,1,2
Id : 9927, {_}: inverse (inverse (inverse (multiply (inverse (inverse (inverse (inverse (inverse ?72732))))) (inverse (inverse (inverse ?72734)))))) =>= multiply ?72734 ?72732 [72734, 72732] by Demod 9874 with 9361 at 1,1,1,1,2
Id : 9928, {_}: inverse (inverse (inverse (inverse (inverse (multiply (inverse (inverse (inverse ?72732))) (inverse ?72734)))))) =>= multiply ?72734 ?72732 [72734, 72732] by Demod 9927 with 8861 at 1,1,1,2
Id : 8327, {_}: multiply (inverse (inverse ?57925)) (inverse (multiply ?57927 (inverse ?57927))) =>= ?57925 [57927, 57925] by Demod 7426 with 8315 at 1,2
Id : 9747, {_}: inverse (inverse (inverse (inverse ?57925))) =>= ?57925 [57925] by Demod 8327 with 9361 at 2
Id : 10306, {_}: inverse (multiply (inverse (inverse (inverse ?74050))) (inverse ?74051)) =>= multiply ?74051 ?74050 [74051, 74050] by Demod 9928 with 9747 at 2
Id : 10351, {_}: inverse (multiply ?74270 (inverse ?74271)) =>= multiply ?74271 (inverse ?74270) [74271, 74270] by Super 10306 with 9747 at 1,1,2
Id : 10538, {_}: inverse (inverse (multiply (multiply ?2541 ?2540) (inverse (multiply (inverse (inverse (inverse ?2539))) ?2540)))) =>= multiply ?2541 ?2539 [2539, 2540, 2541] by Demod 8847 with 10351 at 1,1,2
Id : 10539, {_}: inverse (multiply (multiply (inverse (inverse (inverse ?2539))) ?2540) (inverse (multiply ?2541 ?2540))) =>= multiply ?2541 ?2539 [2541, 2540, 2539] by Demod 10538 with 10351 at 1,2
Id : 10540, {_}: multiply (multiply ?2541 ?2540) (inverse (multiply (inverse (inverse (inverse ?2539))) ?2540)) =>= multiply ?2541 ?2539 [2539, 2540, 2541] by Demod 10539 with 10351 at 2
Id : 10517, {_}: multiply ?2 (multiply (multiply ?3 ?5) (inverse (multiply (inverse (multiply (inverse ?3) (multiply (inverse ?2) ?4))) ?5))) =>= ?4 [4, 5, 3, 2] by Demod 2 with 10351 at 2,2
Id : 107, {_}: multiply (inverse ?942) (multiply ?942 (multiply ?943 (inverse (multiply (multiply (inverse (multiply (inverse ?944) ?945)) ?946) (inverse (multiply ?944 ?946)))))) =>= multiply (inverse (inverse ?943)) ?945 [946, 945, 944, 943, 942] by Super 91 with 5 at 2,2,2
Id : 8859, {_}: inverse (inverse (multiply ?943 (inverse (multiply (multiply (inverse (multiply (inverse ?944) ?945)) ?946) (inverse (multiply ?944 ?946)))))) =>= multiply (inverse (inverse ?943)) ?945 [946, 945, 944, 943] by Demod 107 with 8828 at 2
Id : 10533, {_}: inverse (multiply (multiply (multiply (inverse (multiply (inverse ?944) ?945)) ?946) (inverse (multiply ?944 ?946))) (inverse ?943)) =>= multiply (inverse (inverse ?943)) ?945 [943, 946, 945, 944] by Demod 8859 with 10351 at 1,2
Id : 10534, {_}: multiply ?943 (inverse (multiply (multiply (inverse (multiply (inverse ?944) ?945)) ?946) (inverse (multiply ?944 ?946)))) =>= multiply (inverse (inverse ?943)) ?945 [946, 945, 944, 943] by Demod 10533 with 10351 at 2
Id : 10535, {_}: multiply ?943 (multiply (multiply ?944 ?946) (inverse (multiply (inverse (multiply (inverse ?944) ?945)) ?946))) =>= multiply (inverse (inverse ?943)) ?945 [945, 946, 944, 943] by Demod 10534 with 10351 at 2,2
Id : 10553, {_}: multiply (inverse (inverse ?2)) (multiply (inverse ?2) ?4) =>= ?4 [4, 2] by Demod 10517 with 10535 at 2
Id : 10554, {_}: inverse (inverse ?4) =>= ?4 [4] by Demod 10553 with 8828 at 2
Id : 10571, {_}: multiply (multiply ?2541 ?2540) (inverse (multiply (inverse ?2539) ?2540)) =>= multiply ?2541 ?2539 [2539, 2540, 2541] by Demod 10540 with 10554 at 1,1,2,2
Id : 10622, {_}: multiply (multiply ?74438 (inverse ?74439)) (multiply ?74439 (inverse (inverse ?74440))) =>= multiply ?74438 ?74440 [74440, 74439, 74438] by Super 10571 with 10351 at 2,2
Id : 10693, {_}: multiply (multiply ?74792 (inverse ?74793)) (multiply ?74793 ?74794) =>= multiply ?74792 ?74794 [74794, 74793, 74792] by Demod 10622 with 10554 at 2,2,2
Id : 10568, {_}: multiply (inverse ?65597) (multiply ?65597 ?65598) =>= ?65598 [65598, 65597] by Demod 8828 with 10554 at 3
Id : 10698, {_}: multiply (multiply ?74822 (inverse (inverse ?74823))) ?74824 =>= multiply ?74822 (multiply ?74823 ?74824) [74824, 74823, 74822] by Super 10693 with 10568 at 2,2
Id : 10735, {_}: multiply (multiply ?74822 ?74823) ?74824 =>= multiply ?74822 (multiply ?74823 ?74824) [74824, 74823, 74822] by Demod 10698 with 10554 at 2,1,2
Id : 10883, {_}: multiply a3 (multiply b3 c3) =?= multiply a3 (multiply b3 c3) [] by Demod 1 with 10735 at 2
Id :   1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% SZS output end CNFRefutation for GRP429-1.p
9070: solved GRP429-1.p in 6.944433 using kbo
!! infer_left                                      53    0.0001    0.0000    0.0000
!! infer_right                                     54   25.4203    3.1670    0.4707
!! simplify_goal                                   54    0.0035    0.0002    0.0001
!! keep_simplified                                137    1.6233    0.3767    0.0118
!! simplification_step                            215    1.6214    0.3073    0.0075
!! simplify                                     10995   21.9471    0.3100    0.0020
!! orphan_murder                                  277    0.0041    0.0005    0.0000
!! is_subsumed                                  10227    2.1797    0.3014    0.0002
!! build_new_clause                              8953    3.2559    0.3047    0.0004
!! demodulate                                   10906   19.7353    0.3099    0.0018
!! demod                                       283463   18.3631    0.3082    0.0001
!! demod.apply_subst                            96952    1.5054    0.3002    0.0000
!! demod.compare_terms                          46289    1.3479    0.3003    0.0000
!! demod.retrieve_generalizations              283463    8.9253    0.3024    0.0000
!! demod.unify                                 174180    4.3544    0.3081    0.0000
!! build_clause                                 11140    2.1402    0.3047    0.0002
!! compare_terms(kbo)                           62718    2.2007    0.3003    0.0000
!! compare_terms(nrkbo)                             2    0.0001    0.0000    0.0000
9081: Facts:
9081:  Id :   2, {_}:
          inverse
            (multiply ?2
              (multiply ?3
                (multiply (multiply ?4 (inverse ?4))
                  (inverse (multiply ?5 (multiply ?2 ?3))))))
          =>=
          ?5
          [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
9081: Goal:
9081:  Id :   1, {_}:
          multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
          [] by prove_these_axioms_3
% SZS status Timeout for GRP444-1.p
9133: Facts:
9133:  Id :   2, {_}:
          divide
            (divide (divide ?2 ?2)
              (divide ?2 (divide ?3 (divide (divide (divide ?2 ?2) ?2) ?4))))
            ?4
          =>=
          ?3
          [4, 3, 2] by single_axiom ?2 ?3 ?4
9133:  Id :   3, {_}:
          multiply ?6 ?7 =<= divide ?6 (divide (divide ?8 ?8) ?7)
          [8, 7, 6] by multiply ?6 ?7 ?8
9133:  Id :   4, {_}:
          inverse ?10 =<= divide (divide ?11 ?11) ?10
          [11, 10] by inverse ?10 ?11
9133: Goal:
9133:  Id :   1, {_}:
          multiply (multiply (inverse b2) b2) a2 =>= a2
          [] by prove_these_axioms_2
Statistics :
Max weight : 38
Found proof, 0.251580s
% SZS status Unsatisfiable for GRP452-1.p
% SZS output start CNFRefutation for GRP452-1.p
Id :   5, {_}: divide (divide (divide ?13 ?13) (divide ?13 (divide ?14 (divide (divide (divide ?13 ?13) ?13) ?15)))) ?15 =>= ?14 [15, 14, 13] by single_axiom ?13 ?14 ?15
Id :  35, {_}: inverse ?90 =<= divide (divide ?91 ?91) ?90 [91, 90] by inverse ?90 ?91
Id :   2, {_}: divide (divide (divide ?2 ?2) (divide ?2 (divide ?3 (divide (divide (divide ?2 ?2) ?2) ?4)))) ?4 =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
Id :   4, {_}: inverse ?10 =<= divide (divide ?11 ?11) ?10 [11, 10] by inverse ?10 ?11
Id :   3, {_}: multiply ?6 ?7 =<= divide ?6 (divide (divide ?8 ?8) ?7) [8, 7, 6] by multiply ?6 ?7 ?8
Id :  29, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
Id :  41, {_}: multiply (divide ?104 ?104) ?105 =>= inverse (inverse ?105) [105, 104] by Super 29 with 4 at 3
Id :  43, {_}: multiply (multiply (inverse ?110) ?110) ?111 =>= inverse (inverse ?111) [111, 110] by Super 41 with 29 at 1,2
Id :  13, {_}: divide (multiply (divide (divide ?48 ?48) (divide ?48 ?48)) (divide ?49 (divide (divide (divide (divide ?48 ?48) (divide ?48 ?48)) (divide ?48 ?48)) ?50))) ?50 =>= ?49 [50, 49, 48] by Super 2 with 3 at 1,2
Id :  32, {_}: multiply (divide ?79 ?79) ?80 =>= inverse (inverse ?80) [80, 79] by Super 29 with 4 at 3
Id : 218, {_}: divide (inverse (inverse (divide ?49 (divide (divide (divide (divide ?48 ?48) (divide ?48 ?48)) (divide ?48 ?48)) ?50)))) ?50 =>= ?49 [50, 48, 49] by Demod 13 with 32 at 1,2
Id : 219, {_}: divide (inverse (inverse (divide ?49 (divide (inverse (divide ?48 ?48)) ?50)))) ?50 =>= ?49 [50, 48, 49] by Demod 218 with 4 at 1,2,1,1,1,2
Id :  36, {_}: inverse ?93 =<= divide (inverse (divide ?94 ?94)) ?93 [94, 93] by Super 35 with 4 at 1,3
Id : 220, {_}: divide (inverse (inverse (divide ?49 (inverse ?50)))) ?50 =>= ?49 [50, 49] by Demod 219 with 36 at 2,1,1,1,2
Id : 221, {_}: divide (inverse (inverse (multiply ?49 ?50))) ?50 =>= ?49 [50, 49] by Demod 220 with 29 at 1,1,1,2
Id :   6, {_}: divide (divide (divide ?17 ?17) (divide ?17 ?18)) ?19 =<= divide (divide ?20 ?20) (divide ?20 (divide ?18 (divide (divide (divide ?20 ?20) ?20) (divide (divide (divide ?17 ?17) ?17) ?19)))) [20, 19, 18, 17] by Super 5 with 2 at 2,2,1,2
Id :  61, {_}: divide (inverse (divide ?17 ?18)) ?19 =<= divide (divide ?20 ?20) (divide ?20 (divide ?18 (divide (divide (divide ?20 ?20) ?20) (divide (divide (divide ?17 ?17) ?17) ?19)))) [20, 19, 18, 17] by Demod 6 with 4 at 1,2
Id :  62, {_}: divide (inverse (divide ?17 ?18)) ?19 =<= inverse (divide ?20 (divide ?18 (divide (divide (divide ?20 ?20) ?20) (divide (divide (divide ?17 ?17) ?17) ?19)))) [20, 19, 18, 17] by Demod 61 with 4 at 3
Id :  63, {_}: divide (inverse (divide ?17 ?18)) ?19 =<= inverse (divide ?20 (divide ?18 (divide (inverse ?20) (divide (divide (divide ?17 ?17) ?17) ?19)))) [20, 19, 18, 17] by Demod 62 with 4 at 1,2,2,1,3
Id :  64, {_}: divide (inverse (divide ?17 ?18)) ?19 =<= inverse (divide ?20 (divide ?18 (divide (inverse ?20) (divide (inverse ?17) ?19)))) [20, 19, 18, 17] by Demod 63 with 4 at 1,2,2,2,1,3
Id :  11, {_}: divide (divide (divide ?39 ?39) (multiply ?39 (divide (divide (divide ?39 ?39) ?39) ?40))) ?40 =?= divide ?41 ?41 [41, 40, 39] by Super 2 with 3 at 2,1,2
Id : 114, {_}: divide (inverse (multiply ?39 (divide (divide (divide ?39 ?39) ?39) ?40))) ?40 =?= divide ?41 ?41 [41, 40, 39] by Demod 11 with 4 at 1,2
Id : 134, {_}: divide (inverse (multiply ?398 (divide (inverse ?398) ?399))) ?399 =?= divide ?400 ?400 [400, 399, 398] by Demod 114 with 4 at 1,2,1,1,2
Id : 115, {_}: divide (inverse (multiply ?39 (divide (inverse ?39) ?40))) ?40 =?= divide ?41 ?41 [41, 40, 39] by Demod 114 with 4 at 1,2,1,1,2
Id : 148, {_}: divide ?461 ?461 =?= divide ?462 ?462 [462, 461] by Super 134 with 115 at 2
Id : 305, {_}: divide (inverse (divide ?827 (divide (inverse ?828) (divide (inverse ?827) ?829)))) ?829 =?= inverse (divide ?828 (divide ?830 ?830)) [830, 829, 828, 827] by Super 64 with 148 at 2,1,3
Id :  30, {_}: divide (inverse (divide ?2 (divide ?3 (divide (divide (divide ?2 ?2) ?2) ?4)))) ?4 =>= ?3 [4, 3, 2] by Demod 2 with 4 at 1,2
Id :  31, {_}: divide (inverse (divide ?2 (divide ?3 (divide (inverse ?2) ?4)))) ?4 =>= ?3 [4, 3, 2] by Demod 30 with 4 at 1,2,2,1,1,2
Id : 382, {_}: inverse ?1021 =<= inverse (divide ?1021 (divide ?1022 ?1022)) [1022, 1021] by Demod 305 with 31 at 2
Id : 384, {_}: inverse ?1027 =<= inverse (divide ?1027 (inverse (divide ?1028 ?1028))) [1028, 1027] by Super 382 with 4 at 2,1,3
Id : 413, {_}: inverse ?1027 =<= inverse (multiply ?1027 (divide ?1028 ?1028)) [1028, 1027] by Demod 384 with 29 at 1,3
Id : 499, {_}: divide (inverse (inverse ?1247)) (divide ?1248 ?1248) =>= ?1247 [1248, 1247] by Super 221 with 413 at 1,1,2
Id : 358, {_}: inverse ?828 =<= inverse (divide ?828 (divide ?830 ?830)) [830, 828] by Demod 305 with 31 at 2
Id : 659, {_}: inverse (inverse (inverse ?1711)) =>= inverse ?1711 [1711] by Super 358 with 499 at 1,3
Id : 781, {_}: divide (inverse (inverse ?1935)) (divide ?1936 ?1936) =>= inverse (inverse ?1935) [1936, 1935] by Super 499 with 659 at 1,1,2
Id : 807, {_}: ?1935 =<= inverse (inverse ?1935) [1935] by Demod 781 with 499 at 2
Id : 825, {_}: multiply (multiply (inverse ?110) ?110) ?111 =>= ?111 [111, 110] by Demod 43 with 807 at 3
Id : 857, {_}: a2 === a2 [] by Demod 1 with 825 at 2
Id :   1, {_}: multiply (multiply (inverse b2) b2) a2 =>= a2 [] by prove_these_axioms_2
% SZS output end CNFRefutation for GRP452-1.p
9133: solved GRP452-1.p in 0.136007 using nrkbo
!! infer_left                                      41    0.0000    0.0000    0.0000
!! infer_right                                     26    0.2127    0.1331    0.0082
!! simplify_goal                                   41    0.0018    0.0001    0.0000
!! keep_simplified                                 54    0.0331    0.0073    0.0006
!! simplification_step                             69    0.0329    0.0014    0.0005
!! simplify                                      1088    0.2152    0.1245    0.0002
!! orphan_murder                                   54    0.0003    0.0000    0.0000
!! is_subsumed                                    984    0.0089    0.0003    0.0000
!! build_new_clause                               548    0.0138    0.0006    0.0000
!! demodulate                                    1100    0.2048    0.1245    0.0002
!! demod                                         6957    0.1889    0.1243    0.0000
!! demod.apply_subst                             2382    0.0039    0.0002    0.0000
!! demod.compare_terms                            903    0.0055    0.0002    0.0000
!! demod.retrieve_generalizations                6957    0.0298    0.0005    0.0000
!! demod.unify                                   3336    0.1333    0.1242    0.0000
!! build_clause                                   836    0.0126    0.0006    0.0000
!! compare_terms(nrkbo)                          1899    0.0113    0.0006    0.0000
!! compare_terms(nrkbo)                             4    0.0001    0.0000    0.0000
9141: Facts:
9141:  Id :   2, {_}:
          divide
            (divide (divide ?2 ?2)
              (divide ?2 (divide ?3 (divide (divide (divide ?2 ?2) ?2) ?4))))
            ?4
          =>=
          ?3
          [4, 3, 2] by single_axiom ?2 ?3 ?4
9141:  Id :   3, {_}:
          multiply ?6 ?7 =<= divide ?6 (divide (divide ?8 ?8) ?7)
          [8, 7, 6] by multiply ?6 ?7 ?8
9141:  Id :   4, {_}:
          inverse ?10 =<= divide (divide ?11 ?11) ?10
          [11, 10] by inverse ?10 ?11
9141: Goal:
9141:  Id :   1, {_}:
          multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
          [] by prove_these_axioms_3
Statistics :
Max weight : 38
Found proof, 1.272296s
% SZS status Unsatisfiable for GRP453-1.p
% SZS output start CNFRefutation for GRP453-1.p
Id :   5, {_}: divide (divide (divide ?13 ?13) (divide ?13 (divide ?14 (divide (divide (divide ?13 ?13) ?13) ?15)))) ?15 =>= ?14 [15, 14, 13] by single_axiom ?13 ?14 ?15
Id :  35, {_}: inverse ?90 =<= divide (divide ?91 ?91) ?90 [91, 90] by inverse ?90 ?91
Id :   2, {_}: divide (divide (divide ?2 ?2) (divide ?2 (divide ?3 (divide (divide (divide ?2 ?2) ?2) ?4)))) ?4 =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
Id :   4, {_}: inverse ?10 =<= divide (divide ?11 ?11) ?10 [11, 10] by inverse ?10 ?11
Id :   3, {_}: multiply ?6 ?7 =<= divide ?6 (divide (divide ?8 ?8) ?7) [8, 7, 6] by multiply ?6 ?7 ?8
Id :  29, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
Id :  10, {_}: divide (divide (divide ?34 ?34) (divide ?34 (divide ?35 (multiply (divide (divide ?34 ?34) ?34) ?36)))) (divide (divide ?37 ?37) ?36) =>= ?35 [37, 36, 35, 34] by Super 2 with 3 at 2,2,2,1,2
Id :  24, {_}: multiply (divide (divide ?34 ?34) (divide ?34 (divide ?35 (multiply (divide (divide ?34 ?34) ?34) ?36)))) ?36 =>= ?35 [36, 35, 34] by Demod 10 with 3 at 2
Id : 431, {_}: multiply (inverse (divide ?34 (divide ?35 (multiply (divide (divide ?34 ?34) ?34) ?36)))) ?36 =>= ?35 [36, 35, 34] by Demod 24 with 4 at 1,2
Id : 432, {_}: multiply (inverse (divide ?34 (divide ?35 (multiply (inverse ?34) ?36)))) ?36 =>= ?35 [36, 35, 34] by Demod 431 with 4 at 1,2,2,1,1,2
Id :  13, {_}: divide (multiply (divide (divide ?48 ?48) (divide ?48 ?48)) (divide ?49 (divide (divide (divide (divide ?48 ?48) (divide ?48 ?48)) (divide ?48 ?48)) ?50))) ?50 =>= ?49 [50, 49, 48] by Super 2 with 3 at 1,2
Id :  32, {_}: multiply (divide ?79 ?79) ?80 =>= inverse (inverse ?80) [80, 79] by Super 29 with 4 at 3
Id : 215, {_}: divide (inverse (inverse (divide ?49 (divide (divide (divide (divide ?48 ?48) (divide ?48 ?48)) (divide ?48 ?48)) ?50)))) ?50 =>= ?49 [50, 48, 49] by Demod 13 with 32 at 1,2
Id : 216, {_}: divide (inverse (inverse (divide ?49 (divide (inverse (divide ?48 ?48)) ?50)))) ?50 =>= ?49 [50, 48, 49] by Demod 215 with 4 at 1,2,1,1,1,2
Id :  36, {_}: inverse ?93 =<= divide (inverse (divide ?94 ?94)) ?93 [94, 93] by Super 35 with 4 at 1,3
Id : 217, {_}: divide (inverse (inverse (divide ?49 (inverse ?50)))) ?50 =>= ?49 [50, 49] by Demod 216 with 36 at 2,1,1,1,2
Id : 218, {_}: divide (inverse (inverse (multiply ?49 ?50))) ?50 =>= ?49 [50, 49] by Demod 217 with 29 at 1,1,1,2
Id :   6, {_}: divide (divide (divide ?17 ?17) (divide ?17 ?18)) ?19 =<= divide (divide ?20 ?20) (divide ?20 (divide ?18 (divide (divide (divide ?20 ?20) ?20) (divide (divide (divide ?17 ?17) ?17) ?19)))) [20, 19, 18, 17] by Super 5 with 2 at 2,2,1,2
Id :  61, {_}: divide (inverse (divide ?17 ?18)) ?19 =<= divide (divide ?20 ?20) (divide ?20 (divide ?18 (divide (divide (divide ?20 ?20) ?20) (divide (divide (divide ?17 ?17) ?17) ?19)))) [20, 19, 18, 17] by Demod 6 with 4 at 1,2
Id :  62, {_}: divide (inverse (divide ?17 ?18)) ?19 =<= inverse (divide ?20 (divide ?18 (divide (divide (divide ?20 ?20) ?20) (divide (divide (divide ?17 ?17) ?17) ?19)))) [20, 19, 18, 17] by Demod 61 with 4 at 3
Id :  63, {_}: divide (inverse (divide ?17 ?18)) ?19 =<= inverse (divide ?20 (divide ?18 (divide (inverse ?20) (divide (divide (divide ?17 ?17) ?17) ?19)))) [20, 19, 18, 17] by Demod 62 with 4 at 1,2,2,1,3
Id :  64, {_}: divide (inverse (divide ?17 ?18)) ?19 =<= inverse (divide ?20 (divide ?18 (divide (inverse ?20) (divide (inverse ?17) ?19)))) [20, 19, 18, 17] by Demod 63 with 4 at 1,2,2,2,1,3
Id :  11, {_}: divide (divide (divide ?39 ?39) (multiply ?39 (divide (divide (divide ?39 ?39) ?39) ?40))) ?40 =?= divide ?41 ?41 [41, 40, 39] by Super 2 with 3 at 2,1,2
Id : 114, {_}: divide (inverse (multiply ?39 (divide (divide (divide ?39 ?39) ?39) ?40))) ?40 =?= divide ?41 ?41 [41, 40, 39] by Demod 11 with 4 at 1,2
Id : 134, {_}: divide (inverse (multiply ?398 (divide (inverse ?398) ?399))) ?399 =?= divide ?400 ?400 [400, 399, 398] by Demod 114 with 4 at 1,2,1,1,2
Id : 115, {_}: divide (inverse (multiply ?39 (divide (inverse ?39) ?40))) ?40 =?= divide ?41 ?41 [41, 40, 39] by Demod 114 with 4 at 1,2,1,1,2
Id : 148, {_}: divide ?461 ?461 =?= divide ?462 ?462 [462, 461] by Super 134 with 115 at 2
Id : 299, {_}: divide (inverse (divide ?827 (divide (inverse ?828) (divide (inverse ?827) ?829)))) ?829 =?= inverse (divide ?828 (divide ?830 ?830)) [830, 829, 828, 827] by Super 64 with 148 at 2,1,3
Id :  30, {_}: divide (inverse (divide ?2 (divide ?3 (divide (divide (divide ?2 ?2) ?2) ?4)))) ?4 =>= ?3 [4, 3, 2] by Demod 2 with 4 at 1,2
Id :  31, {_}: divide (inverse (divide ?2 (divide ?3 (divide (inverse ?2) ?4)))) ?4 =>= ?3 [4, 3, 2] by Demod 30 with 4 at 1,2,2,1,1,2
Id : 375, {_}: inverse ?1021 =<= inverse (divide ?1021 (divide ?1022 ?1022)) [1022, 1021] by Demod 299 with 31 at 2
Id : 377, {_}: inverse ?1027 =<= inverse (divide ?1027 (inverse (divide ?1028 ?1028))) [1028, 1027] by Super 375 with 4 at 2,1,3
Id : 406, {_}: inverse ?1027 =<= inverse (multiply ?1027 (divide ?1028 ?1028)) [1028, 1027] by Demod 377 with 29 at 1,3
Id : 490, {_}: divide (inverse (inverse ?1247)) (divide ?1248 ?1248) =>= ?1247 [1248, 1247] by Super 218 with 406 at 1,1,2
Id : 645, {_}: multiply ?1708 (divide ?1709 ?1709) =>= ?1708 [1709, 1708] by Super 218 with 490 at 2
Id : 907, {_}: multiply (inverse (divide ?2177 (divide ?2178 (inverse ?2177)))) (divide ?2179 ?2179) =>= ?2178 [2179, 2178, 2177] by Super 432 with 645 at 2,2,1,1,2
Id : 938, {_}: inverse (divide ?2177 (divide ?2178 (inverse ?2177))) =>= ?2178 [2178, 2177] by Demod 907 with 645 at 2
Id : 1015, {_}: inverse (divide ?2385 (multiply ?2386 ?2385)) =>= ?2386 [2386, 2385] by Demod 938 with 29 at 2,1,2
Id : 352, {_}: inverse ?828 =<= inverse (divide ?828 (divide ?830 ?830)) [830, 828] by Demod 299 with 31 at 2
Id : 646, {_}: inverse (inverse (inverse ?1711)) =>= inverse ?1711 [1711] by Super 352 with 490 at 1,3
Id : 766, {_}: divide (inverse (inverse ?1935)) (divide ?1936 ?1936) =>= inverse (inverse ?1935) [1936, 1935] by Super 490 with 646 at 1,1,2
Id : 792, {_}: ?1935 =<= inverse (inverse ?1935) [1935] by Demod 766 with 490 at 2
Id : 812, {_}: divide (multiply ?49 ?50) ?50 =>= ?49 [50, 49] by Demod 218 with 792 at 1,2
Id : 823, {_}: multiply ?2032 (inverse ?2033) =>= divide ?2032 ?2033 [2033, 2032] by Super 29 with 792 at 2,3
Id : 854, {_}: divide (divide ?2110 ?2111) (inverse ?2111) =>= ?2110 [2111, 2110] by Super 812 with 823 at 1,2
Id : 872, {_}: multiply (divide ?2110 ?2111) ?2111 =>= ?2110 [2111, 2110] by Demod 854 with 29 at 2
Id : 1023, {_}: inverse (divide ?2410 ?2411) =>= divide ?2411 ?2410 [2411, 2410] by Super 1015 with 872 at 2,1,2
Id : 1182, {_}: divide (divide ?18 ?17) ?19 =<= inverse (divide ?20 (divide ?18 (divide (inverse ?20) (divide (inverse ?17) ?19)))) [20, 19, 17, 18] by Demod 64 with 1023 at 1,2
Id : 1183, {_}: divide (divide ?18 ?17) ?19 =<= divide (divide ?18 (divide (inverse ?20) (divide (inverse ?17) ?19))) ?20 [20, 19, 17, 18] by Demod 1182 with 1023 at 3
Id : 1206, {_}: inverse (divide ?2791 ?2792) =>= divide ?2792 ?2791 [2792, 2791] by Super 1015 with 872 at 2,1,2
Id : 1213, {_}: inverse (multiply ?2814 ?2815) =<= divide (inverse ?2815) ?2814 [2815, 2814] by Super 1206 with 29 at 1,2
Id : 1234, {_}: divide (divide ?18 ?17) ?19 =<= divide (divide ?18 (inverse (multiply (divide (inverse ?17) ?19) ?20))) ?20 [20, 19, 17, 18] by Demod 1183 with 1213 at 2,1,3
Id : 1235, {_}: divide (divide ?18 ?17) ?19 =<= divide (divide ?18 (inverse (multiply (inverse (multiply ?19 ?17)) ?20))) ?20 [20, 19, 17, 18] by Demod 1234 with 1213 at 1,1,2,1,3
Id : 1243, {_}: divide (divide ?18 ?17) ?19 =<= divide (multiply ?18 (multiply (inverse (multiply ?19 ?17)) ?20)) ?20 [20, 19, 17, 18] by Demod 1235 with 29 at 1,3
Id :  37, {_}: inverse ?96 =<= divide (multiply (inverse ?97) ?97) ?96 [97, 96] by Super 35 with 29 at 1,3
Id : 1026, {_}: inverse (inverse (multiply ?2419 (multiply (inverse ?2420) ?2420))) =>= ?2419 [2420, 2419] by Super 1015 with 37 at 1,2
Id : 1037, {_}: multiply ?2419 (multiply (inverse ?2420) ?2420) =>= ?2419 [2420, 2419] by Demod 1026 with 792 at 2
Id : 1450, {_}: divide (divide ?3221 ?3222) ?3223 =>= divide ?3221 (multiply ?3223 ?3222) [3223, 3222, 3221] by Super 1243 with 1037 at 1,3
Id : 1519, {_}: inverse (divide ?3333 (multiply ?3334 ?3335)) =>= divide ?3334 (divide ?3333 ?3335) [3335, 3334, 3333] by Super 1023 with 1450 at 1,2
Id : 1539, {_}: divide (multiply ?3334 ?3335) ?3333 =>= divide ?3334 (divide ?3333 ?3335) [3333, 3335, 3334] by Demod 1519 with 1023 at 2
Id : 1196, {_}: multiply ?2750 (divide ?2751 ?2752) =<= divide ?2750 (divide ?2752 ?2751) [2752, 2751, 2750] by Super 823 with 1023 at 2,2
Id : 1540, {_}: divide (multiply ?3334 ?3335) ?3333 =>= multiply ?3334 (divide ?3335 ?3333) [3333, 3335, 3334] by Demod 1539 with 1196 at 3
Id : 1686, {_}: multiply (multiply ?3635 ?3636) ?3637 =<= multiply ?3635 (divide ?3636 (inverse ?3637)) [3637, 3636, 3635] by Super 29 with 1540 at 3
Id : 1716, {_}: multiply (multiply ?3635 ?3636) ?3637 =>= multiply ?3635 (multiply ?3636 ?3637) [3637, 3636, 3635] by Demod 1686 with 29 at 2,3
Id : 1789, {_}: multiply a3 (multiply b3 c3) =?= multiply a3 (multiply b3 c3) [] by Demod 1 with 1716 at 2
Id :   1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% SZS output end CNFRefutation for GRP453-1.p
9142: solved GRP453-1.p in 0.260016 using kbo
!! infer_left                                      40    0.0000    0.0000    0.0000
!! infer_right                                     41    1.1972    0.4135    0.0292
!! simplify_goal                                   41    0.0030    0.0002    0.0001
!! keep_simplified                                 80    0.0641    0.0078    0.0008
!! simplification_step                            120    0.0632    0.0019    0.0005
!! simplify                                      2070    1.2035    0.4045    0.0006
!! orphan_murder                                  100    0.0013    0.0002    0.0000
!! is_subsumed                                   1789    0.0197    0.0004    0.0000
!! build_new_clause                               997    0.0224    0.0007    0.0000
!! demodulate                                    2062    0.7800    0.4045    0.0004
!! demod                                        11933    0.7421    0.4041    0.0001
!! demod.apply_subst                             4650    0.0074    0.0004    0.0000
!! demod.compare_terms                           1545    0.0095    0.0004    0.0000
!! demod.retrieve_generalizations               11933    0.2666    0.2161    0.0000
!! demod.unify                                   7595    0.4254    0.4041    0.0001
!! build_clause                                  1777    0.0293    0.0007    0.0000
!! compare_terms(kbo)                            3605    0.0223    0.0005    0.0000
!! compare_terms(nrkbo)                             4    0.0001    0.0000    0.0000
9155: Facts:
9155:  Id :   2, {_}:
          divide (inverse (divide ?2 (divide ?3 (divide ?4 ?5))))
            (divide (divide ?5 ?4) ?2)
          =>=
          ?3
          [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
9155:  Id :   3, {_}:
          multiply ?7 ?8 =<= divide ?7 (inverse ?8)
          [8, 7] by multiply ?7 ?8
9155: Goal:
9155:  Id :   1, {_}:
          multiply (inverse a1) a1 =<= multiply (inverse b1) b1
          [] by prove_these_axioms_1
% SZS status Timeout for GRP469-1.p
9183: Facts:
9183:  Id :   2, {_}:
          divide (inverse (divide ?2 (divide ?3 (divide ?4 ?5))))
            (divide (divide ?5 ?4) ?2)
          =>=
          ?3
          [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
9183:  Id :   3, {_}:
          multiply ?7 ?8 =<= divide ?7 (inverse ?8)
          [8, 7] by multiply ?7 ?8
9183: Goal:
9183:  Id :   1, {_}:
          multiply (multiply (inverse b2) b2) a2 =>= a2
          [] by prove_these_axioms_2
% SZS status Timeout for GRP470-1.p
9224: Facts:
9224:  Id :   2, {_}:
          divide (inverse (divide ?2 (divide ?3 (divide ?4 ?5))))
            (divide (divide ?5 ?4) ?2)
          =>=
          ?3
          [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
9224:  Id :   3, {_}:
          multiply ?7 ?8 =<= divide ?7 (inverse ?8)
          [8, 7] by multiply ?7 ?8
9224: Goal:
9224:  Id :   1, {_}:
          multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
          [] by prove_these_axioms_3
% SZS status Timeout for GRP471-1.p
9252: Facts:
9252:  Id :   2, {_}:
          divide (inverse (divide (divide (divide ?2 ?3) ?4) (divide ?5 ?4)))
            (divide ?3 ?2)
          =>=
          ?5
          [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
9252:  Id :   3, {_}:
          multiply ?7 ?8 =<= divide ?7 (inverse ?8)
          [8, 7] by multiply ?7 ?8
9252: Goal:
9252:  Id :   1, {_}:
          multiply (inverse a1) a1 =<= multiply (inverse b1) b1
          [] by prove_these_axioms_1
% SZS status Timeout for GRP475-1.p
9290: Facts:
9290:  Id :   2, {_}:
          divide (inverse (divide (divide (divide ?2 ?3) ?4) (divide ?5 ?4)))
            (divide ?3 ?2)
          =>=
          ?5
          [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
9290:  Id :   3, {_}:
          multiply ?7 ?8 =<= divide ?7 (inverse ?8)
          [8, 7] by multiply ?7 ?8
9290: Goal:
9290:  Id :   1, {_}:
          multiply (multiply (inverse b2) b2) a2 =>= a2
          [] by prove_these_axioms_2
Statistics :
Max weight : 50
Found proof, 51.912704s
% SZS status Unsatisfiable for GRP476-1.p
% SZS output start CNFRefutation for GRP476-1.p
Id :   2, {_}: divide (inverse (divide (divide (divide ?2 ?3) ?4) (divide ?5 ?4))) (divide ?3 ?2) =>= ?5 [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
Id :   4, {_}: divide (inverse (divide (divide (divide ?10 ?11) ?12) (divide ?13 ?12))) (divide ?11 ?10) =>= ?13 [13, 12, 11, 10] by single_axiom ?10 ?11 ?12 ?13
Id :   3, {_}: multiply ?7 ?8 =<= divide ?7 (inverse ?8) [8, 7] by multiply ?7 ?8
Id :   5, {_}: divide (inverse (divide (divide (divide (divide ?15 ?16) (inverse (divide (divide (divide ?16 ?15) ?17) (divide ?18 ?17)))) ?19) (divide ?20 ?19))) ?18 =>= ?20 [20, 19, 18, 17, 16, 15] by Super 4 with 2 at 2,2
Id :  17, {_}: divide (inverse (divide (divide (multiply (divide ?15 ?16) (divide (divide (divide ?16 ?15) ?17) (divide ?18 ?17))) ?19) (divide ?20 ?19))) ?18 =>= ?20 [20, 19, 18, 17, 16, 15] by Demod 5 with 3 at 1,1,1,1,2
Id :  18, {_}: multiply (inverse (divide (divide (multiply (divide ?64 ?65) (divide (divide (divide ?65 ?64) ?66) (divide (inverse ?67) ?66))) ?68) (divide ?69 ?68))) ?67 =>= ?69 [69, 68, 67, 66, 65, 64] by Super 3 with 17 at 3
Id :  20, {_}: divide (inverse (divide (divide (divide ?80 ?81) ?82) ?83)) (divide ?81 ?80) =?= inverse (divide (divide (multiply (divide ?84 ?85) (divide (divide (divide ?85 ?84) ?86) (divide ?82 ?86))) ?87) (divide ?83 ?87)) [87, 86, 85, 84, 83, 82, 81, 80] by Super 2 with 17 at 2,1,1,2
Id : 886, {_}: multiply (divide (inverse (divide (divide (divide ?4983 ?4984) (inverse ?4985)) ?4986)) (divide ?4984 ?4983)) ?4985 =>= ?4986 [4986, 4985, 4984, 4983] by Super 18 with 20 at 1,2
Id : 983, {_}: multiply (divide (inverse (divide (multiply (divide ?4983 ?4984) ?4985) ?4986)) (divide ?4984 ?4983)) ?4985 =>= ?4986 [4986, 4985, 4984, 4983] by Demod 886 with 3 at 1,1,1,1,2
Id : 1147, {_}: divide (divide (inverse (divide (divide (divide ?6397 ?6398) ?6399) ?6400)) (divide ?6398 ?6397)) ?6399 =>= ?6400 [6400, 6399, 6398, 6397] by Super 17 with 20 at 1,2
Id : 1614, {_}: divide (divide (inverse (divide (divide (divide (inverse ?8515) ?8516) ?8517) ?8518)) (multiply ?8516 ?8515)) ?8517 =>= ?8518 [8518, 8517, 8516, 8515] by Super 1147 with 3 at 2,1,2
Id : 1636, {_}: divide (divide (inverse (divide (divide (multiply (inverse ?8693) ?8694) ?8695) ?8696)) (multiply (inverse ?8694) ?8693)) ?8695 =>= ?8696 [8696, 8695, 8694, 8693] by Super 1614 with 3 at 1,1,1,1,1,2
Id :   7, {_}: divide (inverse (divide (divide ?29 ?30) (divide ?31 ?30))) (divide (divide ?32 ?33) (inverse (divide (divide (divide ?33 ?32) ?34) (divide ?29 ?34)))) =>= ?31 [34, 33, 32, 31, 30, 29] by Super 4 with 2 at 1,1,1,1,2
Id : 306, {_}: divide (inverse (divide (divide ?1495 ?1496) (divide ?1497 ?1496))) (multiply (divide ?1498 ?1499) (divide (divide (divide ?1499 ?1498) ?1500) (divide ?1495 ?1500))) =>= ?1497 [1500, 1499, 1498, 1497, 1496, 1495] by Demod 7 with 3 at 2,2
Id :   6, {_}: divide (inverse (divide (divide (divide ?22 ?23) (divide ?24 ?25)) ?26)) (divide ?23 ?22) =?= inverse (divide (divide (divide ?25 ?24) ?27) (divide ?26 ?27)) [27, 26, 25, 24, 23, 22] by Super 4 with 2 at 2,1,1,2
Id : 117, {_}: inverse (divide (divide (divide ?560 ?561) ?562) (divide (divide ?563 (divide ?561 ?560)) ?562)) =>= ?563 [563, 562, 561, 560] by Super 2 with 6 at 2
Id : 343, {_}: divide ?1844 (multiply (divide ?1845 ?1846) (divide (divide (divide ?1846 ?1845) ?1847) (divide (divide ?1848 ?1849) ?1847))) =>= divide ?1844 (divide ?1849 ?1848) [1849, 1848, 1847, 1846, 1845, 1844] by Super 306 with 117 at 1,2
Id : 13688, {_}: divide (divide (inverse (divide (divide (multiply (inverse ?74033) ?74034) ?74035) (divide ?74036 ?74037))) (multiply (inverse ?74034) ?74033)) ?74035 =?= multiply (divide ?74038 ?74039) (divide (divide (divide ?74039 ?74038) ?74040) (divide (divide ?74037 ?74036) ?74040)) [74040, 74039, 74038, 74037, 74036, 74035, 74034, 74033] by Super 1636 with 343 at 1,1,1,2
Id : 13919, {_}: divide ?74036 ?74037 =<= multiply (divide ?74038 ?74039) (divide (divide (divide ?74039 ?74038) ?74040) (divide (divide ?74037 ?74036) ?74040)) [74040, 74039, 74038, 74037, 74036] by Demod 13688 with 1636 at 2
Id : 1174, {_}: divide (divide (inverse (multiply (divide (divide ?6597 ?6598) ?6599) ?6600)) (divide ?6598 ?6597)) ?6599 =>= inverse ?6600 [6600, 6599, 6598, 6597] by Super 1147 with 3 at 1,1,1,2
Id : 14271, {_}: divide (divide (inverse (divide ?76146 ?76147)) (divide ?76148 ?76149)) ?76150 =<= inverse (divide (divide (divide ?76150 (divide ?76149 ?76148)) ?76151) (divide (divide ?76147 ?76146) ?76151)) [76151, 76150, 76149, 76148, 76147, 76146] by Super 1174 with 13919 at 1,1,1,2
Id : 14577, {_}: divide (divide (divide (inverse (divide ?77568 ?77569)) (divide ?77570 ?77571)) ?77572) (divide (divide ?77571 ?77570) ?77572) =>= divide ?77569 ?77568 [77572, 77571, 77570, 77569, 77568] by Super 2 with 14271 at 1,2
Id : 21464, {_}: divide ?110283 ?110284 =<= multiply (divide (divide ?110283 ?110284) (inverse (divide ?110285 ?110286))) (divide ?110286 ?110285) [110286, 110285, 110284, 110283] by Super 13919 with 14577 at 2,3
Id : 22077, {_}: divide ?114166 ?114167 =<= multiply (multiply (divide ?114166 ?114167) (divide ?114168 ?114169)) (divide ?114169 ?114168) [114169, 114168, 114167, 114166] by Demod 21464 with 3 at 1,3
Id : 22134, {_}: divide (inverse (divide (divide (divide ?114625 ?114626) ?114627) (divide ?114628 ?114627))) (divide ?114626 ?114625) =?= multiply (multiply ?114628 (divide ?114629 ?114630)) (divide ?114630 ?114629) [114630, 114629, 114628, 114627, 114626, 114625] by Super 22077 with 2 at 1,1,3
Id : 22280, {_}: ?114628 =<= multiply (multiply ?114628 (divide ?114629 ?114630)) (divide ?114630 ?114629) [114630, 114629, 114628] by Demod 22134 with 2 at 2
Id : 214, {_}: inverse (divide (divide (divide ?1015 ?1016) ?1017) (divide (divide ?1018 (divide ?1016 ?1015)) ?1017)) =>= ?1018 [1018, 1017, 1016, 1015] by Super 2 with 6 at 2
Id : 225, {_}: inverse (divide (divide (divide ?1093 ?1094) (inverse ?1095)) (multiply (divide ?1096 (divide ?1094 ?1093)) ?1095)) =>= ?1096 [1096, 1095, 1094, 1093] by Super 214 with 3 at 2,1,2
Id : 244, {_}: inverse (divide (multiply (divide ?1093 ?1094) ?1095) (multiply (divide ?1096 (divide ?1094 ?1093)) ?1095)) =>= ?1096 [1096, 1095, 1094, 1093] by Demod 225 with 3 at 1,1,2
Id : 21627, {_}: divide (divide (inverse (divide ?111807 ?111808)) (divide ?111808 ?111807)) (inverse (divide ?111809 ?111810)) =>= inverse (divide ?111810 ?111809) [111810, 111809, 111808, 111807] by Super 14271 with 14577 at 1,3
Id : 21811, {_}: multiply (divide (inverse (divide ?111807 ?111808)) (divide ?111808 ?111807)) (divide ?111809 ?111810) =>= inverse (divide ?111810 ?111809) [111810, 111809, 111808, 111807] by Demod 21627 with 3 at 2
Id : 24956, {_}: inverse (divide (inverse (divide ?127751 ?127752)) (multiply (divide ?127753 (divide (divide ?127754 ?127755) (inverse (divide ?127755 ?127754)))) (divide ?127752 ?127751))) =>= ?127753 [127755, 127754, 127753, 127752, 127751] by Super 244 with 21811 at 1,1,2
Id :   9, {_}: divide (inverse (divide (divide (divide (inverse ?38) ?39) ?40) (divide ?41 ?40))) (multiply ?39 ?38) =>= ?41 [41, 40, 39, 38] by Super 2 with 3 at 2,2
Id : 21526, {_}: divide (inverse (divide ?110864 ?110865)) (multiply (divide ?110866 ?110867) (divide ?110865 ?110864)) =>= divide ?110867 ?110866 [110867, 110866, 110865, 110864] by Super 9 with 14577 at 1,1,2
Id : 25225, {_}: inverse (divide (divide (divide ?127754 ?127755) (inverse (divide ?127755 ?127754))) ?127753) =>= ?127753 [127753, 127755, 127754] by Demod 24956 with 21526 at 1,2
Id : 25226, {_}: inverse (divide (multiply (divide ?127754 ?127755) (divide ?127755 ?127754)) ?127753) =>= ?127753 [127753, 127755, 127754] by Demod 25225 with 3 at 1,1,2
Id : 25436, {_}: multiply (divide ?129669 (divide ?129670 ?129671)) (divide ?129670 ?129671) =>= ?129669 [129671, 129670, 129669] by Super 244 with 25226 at 2
Id : 25620, {_}: divide ?130549 (divide ?130550 ?130551) =>= multiply ?130549 (divide ?130551 ?130550) [130551, 130550, 130549] by Super 22280 with 25436 at 1,3
Id : 25989, {_}: multiply (multiply (inverse (divide (multiply (divide ?4983 ?4984) ?4985) ?4986)) (divide ?4983 ?4984)) ?4985 =>= ?4986 [4986, 4985, 4984, 4983] by Demod 983 with 25620 at 1,2
Id : 26321, {_}: multiply (multiply (inverse (multiply (multiply (divide ?133710 ?133711) ?133712) (divide ?133713 ?133714))) (divide ?133710 ?133711)) ?133712 =>= divide ?133714 ?133713 [133714, 133713, 133712, 133711, 133710] by Super 25989 with 25620 at 1,1,1,2
Id : 1240, {_}: multiply (divide (inverse (divide (multiply (divide ?6752 ?6753) ?6754) ?6755)) (divide ?6753 ?6752)) ?6754 =>= ?6755 [6755, 6754, 6753, 6752] by Demod 886 with 3 at 1,1,1,1,2
Id : 1266, {_}: multiply (divide (inverse (multiply (multiply (divide ?6947 ?6948) ?6949) ?6950)) (divide ?6948 ?6947)) ?6949 =>= inverse ?6950 [6950, 6949, 6948, 6947] by Super 1240 with 3 at 1,1,1,2
Id : 25988, {_}: multiply (multiply (inverse (multiply (multiply (divide ?6947 ?6948) ?6949) ?6950)) (divide ?6947 ?6948)) ?6949 =>= inverse ?6950 [6950, 6949, 6948, 6947] by Demod 1266 with 25620 at 1,2
Id : 26758, {_}: inverse (divide ?134572 ?134573) =>= divide ?134573 ?134572 [134573, 134572] by Demod 26321 with 25988 at 2
Id : 26801, {_}: inverse (multiply ?134835 ?134836) =<= divide (inverse ?134836) ?134835 [134836, 134835] by Super 26758 with 3 at 1,2
Id : 27001, {_}: multiply (inverse ?135446) ?135447 =<= inverse (multiply (inverse ?135447) ?135446) [135447, 135446] by Super 3 with 26801 at 3
Id : 26434, {_}: inverse (divide ?133713 ?133714) =>= divide ?133714 ?133713 [133714, 133713] by Demod 26321 with 25988 at 2
Id : 26678, {_}: divide ?127753 (multiply (divide ?127754 ?127755) (divide ?127755 ?127754)) =>= ?127753 [127755, 127754, 127753] by Demod 25226 with 26434 at 2
Id : 677, {_}: inverse (divide (divide (divide (inverse ?3469) ?3470) ?3471) (divide (divide ?3472 (multiply ?3470 ?3469)) ?3471)) =>= ?3472 [3472, 3471, 3470, 3469] by Super 214 with 3 at 2,1,2,1,2
Id : 285, {_}: divide (inverse (divide (divide ?29 ?30) (divide ?31 ?30))) (multiply (divide ?32 ?33) (divide (divide (divide ?33 ?32) ?34) (divide ?29 ?34))) =>= ?31 [34, 33, 32, 31, 30, 29] by Demod 7 with 3 at 2,2
Id : 682, {_}: inverse (divide (divide (divide (inverse (divide (divide (divide ?3504 ?3505) ?3506) (divide ?3507 ?3506))) (divide ?3505 ?3504)) ?3508) (divide ?3509 ?3508)) =?= inverse (divide (divide ?3507 ?3510) (divide ?3509 ?3510)) [3510, 3509, 3508, 3507, 3506, 3505, 3504] by Super 677 with 285 at 1,2,1,2
Id : 5821, {_}: inverse (divide (divide ?31423 ?31424) (divide ?31425 ?31424)) =?= inverse (divide (divide ?31423 ?31426) (divide ?31425 ?31426)) [31426, 31425, 31424, 31423] by Demod 682 with 2 at 1,1,1,2
Id : 5822, {_}: inverse (divide (divide ?31428 ?31429) (divide (inverse (divide (divide (divide ?31430 ?31431) ?31432) (divide ?31433 ?31432))) ?31429)) =>= inverse (divide (divide ?31428 (divide ?31431 ?31430)) ?31433) [31433, 31432, 31431, 31430, 31429, 31428] by Super 5821 with 2 at 2,1,3
Id : 25971, {_}: inverse (multiply (divide ?31428 ?31429) (divide ?31429 (inverse (divide (divide (divide ?31430 ?31431) ?31432) (divide ?31433 ?31432))))) =>= inverse (divide (divide ?31428 (divide ?31431 ?31430)) ?31433) [31433, 31432, 31431, 31430, 31429, 31428] by Demod 5822 with 25620 at 1,2
Id : 25972, {_}: inverse (multiply (divide ?31428 ?31429) (divide ?31429 (inverse (divide (divide (divide ?31430 ?31431) ?31432) (divide ?31433 ?31432))))) =>= inverse (divide (multiply ?31428 (divide ?31430 ?31431)) ?31433) [31433, 31432, 31431, 31430, 31429, 31428] by Demod 25971 with 25620 at 1,1,3
Id : 25973, {_}: inverse (multiply (divide ?31428 ?31429) (divide ?31429 (inverse (multiply (divide (divide ?31430 ?31431) ?31432) (divide ?31432 ?31433))))) =>= inverse (divide (multiply ?31428 (divide ?31430 ?31431)) ?31433) [31433, 31432, 31431, 31430, 31429, 31428] by Demod 25972 with 25620 at 1,2,2,1,2
Id : 26094, {_}: inverse (multiply (divide ?31428 ?31429) (multiply ?31429 (multiply (divide (divide ?31430 ?31431) ?31432) (divide ?31432 ?31433)))) =>= inverse (divide (multiply ?31428 (divide ?31430 ?31431)) ?31433) [31433, 31432, 31431, 31430, 31429, 31428] by Demod 25973 with 3 at 2,1,2
Id : 26692, {_}: inverse (multiply (divide ?31428 ?31429) (multiply ?31429 (multiply (divide (divide ?31430 ?31431) ?31432) (divide ?31432 ?31433)))) =>= divide ?31433 (multiply ?31428 (divide ?31430 ?31431)) [31433, 31432, 31431, 31430, 31429, 31428] by Demod 26094 with 26434 at 3
Id : 5846, {_}: inverse (divide (divide (inverse (divide (divide (divide ?31616 ?31617) ?31618) (divide ?31619 ?31618))) ?31620) (divide ?31621 ?31620)) =>= inverse (divide ?31619 (divide ?31621 (divide ?31617 ?31616))) [31621, 31620, 31619, 31618, 31617, 31616] by Super 5821 with 2 at 1,1,3
Id : 25966, {_}: inverse (multiply (divide (inverse (divide (divide (divide ?31616 ?31617) ?31618) (divide ?31619 ?31618))) ?31620) (divide ?31620 ?31621)) =>= inverse (divide ?31619 (divide ?31621 (divide ?31617 ?31616))) [31621, 31620, 31619, 31618, 31617, 31616] by Demod 5846 with 25620 at 1,2
Id : 25967, {_}: inverse (multiply (divide (inverse (divide (divide (divide ?31616 ?31617) ?31618) (divide ?31619 ?31618))) ?31620) (divide ?31620 ?31621)) =>= inverse (multiply ?31619 (divide (divide ?31617 ?31616) ?31621)) [31621, 31620, 31619, 31618, 31617, 31616] by Demod 25966 with 25620 at 1,3
Id : 25968, {_}: inverse (multiply (divide (inverse (multiply (divide (divide ?31616 ?31617) ?31618) (divide ?31618 ?31619))) ?31620) (divide ?31620 ?31621)) =>= inverse (multiply ?31619 (divide (divide ?31617 ?31616) ?31621)) [31621, 31620, 31619, 31618, 31617, 31616] by Demod 25967 with 25620 at 1,1,1,1,2
Id : 26869, {_}: inverse (multiply (inverse (multiply ?31620 (multiply (divide (divide ?31616 ?31617) ?31618) (divide ?31618 ?31619)))) (divide ?31620 ?31621)) =>= inverse (multiply ?31619 (divide (divide ?31617 ?31616) ?31621)) [31621, 31619, 31618, 31617, 31616, 31620] by Demod 25968 with 26801 at 1,1,2
Id : 27339, {_}: multiply (inverse (divide ?31620 ?31621)) (multiply ?31620 (multiply (divide (divide ?31616 ?31617) ?31618) (divide ?31618 ?31619))) =>= inverse (multiply ?31619 (divide (divide ?31617 ?31616) ?31621)) [31619, 31618, 31617, 31616, 31621, 31620] by Demod 26869 with 27001 at 2
Id : 27340, {_}: multiply (divide ?31621 ?31620) (multiply ?31620 (multiply (divide (divide ?31616 ?31617) ?31618) (divide ?31618 ?31619))) =>= inverse (multiply ?31619 (divide (divide ?31617 ?31616) ?31621)) [31619, 31618, 31617, 31616, 31620, 31621] by Demod 27339 with 26434 at 1,2
Id : 27341, {_}: inverse (inverse (multiply ?31433 (divide (divide ?31431 ?31430) ?31428))) =>= divide ?31433 (multiply ?31428 (divide ?31430 ?31431)) [31428, 31430, 31431, 31433] by Demod 26692 with 27340 at 1,2
Id : 26937, {_}: inverse (inverse (multiply ?135004 ?135005)) =>= divide ?135004 (inverse ?135005) [135005, 135004] by Super 26434 with 26801 at 1,2
Id : 27295, {_}: inverse (inverse (multiply ?135004 ?135005)) =>= multiply ?135004 ?135005 [135005, 135004] by Demod 26937 with 3 at 3
Id : 27547, {_}: multiply ?31433 (divide (divide ?31431 ?31430) ?31428) =<= divide ?31433 (multiply ?31428 (divide ?31430 ?31431)) [31428, 31430, 31431, 31433] by Demod 27341 with 27295 at 2
Id : 27548, {_}: multiply ?127753 (divide (divide ?127754 ?127755) (divide ?127754 ?127755)) =>= ?127753 [127755, 127754, 127753] by Demod 26678 with 27547 at 2
Id : 27557, {_}: multiply ?127753 (multiply (divide ?127754 ?127755) (divide ?127755 ?127754)) =>= ?127753 [127755, 127754, 127753] by Demod 27548 with 25620 at 2,2
Id : 22430, {_}: ?115839 =<= multiply (multiply ?115839 (divide ?115840 ?115841)) (divide ?115841 ?115840) [115841, 115840, 115839] by Demod 22134 with 2 at 2
Id : 22486, {_}: ?116237 =<= multiply (multiply ?116237 (multiply ?116238 ?116239)) (divide (inverse ?116239) ?116238) [116239, 116238, 116237] by Super 22430 with 3 at 2,1,3
Id : 26885, {_}: ?116237 =<= multiply (multiply ?116237 (multiply ?116238 ?116239)) (inverse (multiply ?116238 ?116239)) [116239, 116238, 116237] by Demod 22486 with 26801 at 2,3
Id : 27593, {_}: inverse (inverse (multiply ?137071 ?137072)) =>= multiply ?137071 ?137072 [137072, 137071] by Demod 26937 with 3 at 3
Id : 26003, {_}: multiply (inverse (divide (divide (divide ?2 ?3) ?4) (divide ?5 ?4))) (divide ?2 ?3) =>= ?5 [5, 4, 3, 2] by Demod 2 with 25620 at 2
Id : 26004, {_}: multiply (inverse (multiply (divide (divide ?2 ?3) ?4) (divide ?4 ?5))) (divide ?2 ?3) =>= ?5 [5, 4, 3, 2] by Demod 26003 with 25620 at 1,1,2
Id : 27597, {_}: inverse (inverse ?137091) =<= multiply (inverse (multiply (divide (divide ?137092 ?137093) ?137094) (divide ?137094 ?137091))) (divide ?137092 ?137093) [137094, 137093, 137092, 137091] by Super 27593 with 26004 at 1,1,2
Id : 27673, {_}: inverse (inverse ?137091) =>= ?137091 [137091] by Demod 27597 with 26004 at 3
Id : 27775, {_}: multiply ?137570 (inverse ?137571) =>= divide ?137570 ?137571 [137571, 137570] by Super 3 with 27673 at 2,3
Id : 27864, {_}: ?116237 =<= divide (multiply ?116237 (multiply ?116238 ?116239)) (multiply ?116238 ?116239) [116239, 116238, 116237] by Demod 26885 with 27775 at 3
Id :  22, {_}: divide (inverse (divide (divide (multiply (divide ?98 ?99) (divide (divide (divide ?99 ?98) ?100) (divide ?101 ?100))) ?102) (divide ?103 ?102))) ?101 =>= ?103 [103, 102, 101, 100, 99, 98] by Demod 5 with 3 at 1,1,1,1,2
Id :  26, {_}: divide (inverse (divide (divide (multiply (divide ?132 ?133) (divide (divide (divide ?133 ?132) (divide ?134 ?135)) ?136)) ?137) (divide ?138 ?137))) (inverse (divide (divide (divide ?135 ?134) ?139) (divide ?136 ?139))) =>= ?138 [139, 138, 137, 136, 135, 134, 133, 132] by Super 22 with 2 at 2,2,1,1,1,1,2
Id :  42, {_}: multiply (inverse (divide (divide (multiply (divide ?132 ?133) (divide (divide (divide ?133 ?132) (divide ?134 ?135)) ?136)) ?137) (divide ?138 ?137))) (divide (divide (divide ?135 ?134) ?139) (divide ?136 ?139)) =>= ?138 [139, 138, 137, 136, 135, 134, 133, 132] by Demod 26 with 3 at 2
Id : 27019, {_}: inverse (multiply (divide ?135546 ?135547) ?135548) =<= multiply (inverse ?135548) (divide ?135547 ?135546) [135548, 135547, 135546] by Super 25620 with 26801 at 2
Id : 31814, {_}: inverse (multiply (divide (divide ?136 ?139) (divide (divide ?135 ?134) ?139)) (divide (divide (multiply (divide ?132 ?133) (divide (divide (divide ?133 ?132) (divide ?134 ?135)) ?136)) ?137) (divide ?138 ?137))) =>= ?138 [138, 137, 133, 132, 134, 135, 139, 136] by Demod 42 with 27019 at 2
Id : 26761, {_}: inverse (multiply ?134585 (divide ?134586 ?134587)) =>= divide (divide ?134587 ?134586) ?134585 [134587, 134586, 134585] by Super 26758 with 25620 at 1,2
Id : 31815, {_}: divide (divide (divide ?138 ?137) (divide (multiply (divide ?132 ?133) (divide (divide (divide ?133 ?132) (divide ?134 ?135)) ?136)) ?137)) (divide (divide ?136 ?139) (divide (divide ?135 ?134) ?139)) =>= ?138 [139, 136, 135, 134, 133, 132, 137, 138] by Demod 31814 with 26761 at 2
Id : 31816, {_}: multiply (divide (divide ?138 ?137) (divide (multiply (divide ?132 ?133) (divide (divide (divide ?133 ?132) (divide ?134 ?135)) ?136)) ?137)) (divide (divide (divide ?135 ?134) ?139) (divide ?136 ?139)) =>= ?138 [139, 136, 135, 134, 133, 132, 137, 138] by Demod 31815 with 25620 at 2
Id : 31817, {_}: multiply (multiply (divide ?138 ?137) (divide ?137 (multiply (divide ?132 ?133) (divide (divide (divide ?133 ?132) (divide ?134 ?135)) ?136)))) (divide (divide (divide ?135 ?134) ?139) (divide ?136 ?139)) =>= ?138 [139, 136, 135, 134, 133, 132, 137, 138] by Demod 31816 with 25620 at 1,2
Id : 31818, {_}: multiply (multiply (divide ?138 ?137) (divide ?137 (multiply (divide ?132 ?133) (divide (divide (divide ?133 ?132) (divide ?134 ?135)) ?136)))) (multiply (divide (divide ?135 ?134) ?139) (divide ?139 ?136)) =>= ?138 [139, 136, 135, 134, 133, 132, 137, 138] by Demod 31817 with 25620 at 2,2
Id : 31819, {_}: multiply (multiply (divide ?138 ?137) (multiply ?137 (divide (divide ?136 (divide (divide ?133 ?132) (divide ?134 ?135))) (divide ?132 ?133)))) (multiply (divide (divide ?135 ?134) ?139) (divide ?139 ?136)) =>= ?138 [139, 135, 134, 132, 133, 136, 137, 138] by Demod 31818 with 27547 at 2,1,2
Id : 31820, {_}: multiply (multiply (divide ?138 ?137) (multiply ?137 (multiply (divide ?136 (divide (divide ?133 ?132) (divide ?134 ?135))) (divide ?133 ?132)))) (multiply (divide (divide ?135 ?134) ?139) (divide ?139 ?136)) =>= ?138 [139, 135, 134, 132, 133, 136, 137, 138] by Demod 31819 with 25620 at 2,2,1,2
Id : 31821, {_}: multiply (multiply (divide ?138 ?137) (multiply ?137 (multiply (multiply ?136 (divide (divide ?134 ?135) (divide ?133 ?132))) (divide ?133 ?132)))) (multiply (divide (divide ?135 ?134) ?139) (divide ?139 ?136)) =>= ?138 [139, 132, 133, 135, 134, 136, 137, 138] by Demod 31820 with 25620 at 1,2,2,1,2
Id : 31822, {_}: multiply (multiply (divide ?138 ?137) (multiply ?137 (multiply (multiply ?136 (multiply (divide ?134 ?135) (divide ?132 ?133))) (divide ?133 ?132)))) (multiply (divide (divide ?135 ?134) ?139) (divide ?139 ?136)) =>= ?138 [139, 133, 132, 135, 134, 136, 137, 138] by Demod 31821 with 25620 at 2,1,2,2,1,2
Id : 31911, {_}: ?147430 =<= divide (multiply ?147430 (multiply (multiply (divide ?147431 ?147432) (multiply ?147432 (multiply (multiply ?147433 (multiply (divide ?147434 ?147435) (divide ?147436 ?147437))) (divide ?147437 ?147436)))) (multiply (divide (divide ?147435 ?147434) ?147438) (divide ?147438 ?147433)))) ?147431 [147438, 147437, 147436, 147435, 147434, 147433, 147432, 147431, 147430] by Super 27864 with 31822 at 2,3
Id : 32286, {_}: ?147430 =<= divide (multiply ?147430 ?147431) ?147431 [147431, 147430] by Demod 31911 with 31822 at 2,1,3
Id : 33196, {_}: inverse ?153407 =<= divide ?153408 (multiply ?153407 ?153408) [153408, 153407] by Super 26434 with 32286 at 1,2
Id : 33577, {_}: multiply ?155064 (multiply (divide (multiply ?155065 ?155066) ?155066) (inverse ?155065)) =>= ?155064 [155066, 155065, 155064] by Super 27557 with 33196 at 2,2,2
Id : 34075, {_}: multiply ?155064 (divide (divide (multiply ?155065 ?155066) ?155066) ?155065) =>= ?155064 [155066, 155065, 155064] by Demod 33577 with 27775 at 2,2
Id : 34076, {_}: multiply ?155064 (divide ?155065 ?155065) =>= ?155064 [155065, 155064] by Demod 34075 with 32286 at 1,2,2
Id : 34411, {_}: multiply (inverse (divide ?156649 ?156649)) ?156650 =>= inverse (inverse ?156650) [156650, 156649] by Super 27001 with 34076 at 1,3
Id : 34876, {_}: multiply (divide ?156649 ?156649) ?156650 =>= inverse (inverse ?156650) [156650, 156649] by Demod 34411 with 26434 at 1,2
Id : 36150, {_}: multiply (divide ?160821 ?160821) ?160822 =>= ?160822 [160822, 160821] by Demod 34876 with 27673 at 3
Id : 36165, {_}: multiply (multiply (inverse ?160898) ?160898) ?160899 =>= ?160899 [160899, 160898] by Super 36150 with 3 at 1,2
Id : 40093, {_}: a2 === a2 [] by Demod 1 with 36165 at 2
Id :   1, {_}: multiply (multiply (inverse b2) b2) a2 =>= a2 [] by prove_these_axioms_2
% SZS output end CNFRefutation for GRP476-1.p
9290: solved GRP476-1.p in 12.724794 using nrkbo
!! infer_left                                     122    0.0002    0.0000    0.0000
!! infer_right                                    123   38.7369    1.5371    0.3149
!! simplify_goal                                  123    0.0065    0.0003    0.0001
!! keep_simplified                                384   11.6083    1.9929    0.0302
!! simplification_step                            618   11.6013    0.4467    0.0188
!! simplify                                     44062   37.7771    0.4363    0.0009
!! orphan_murder                                  463    0.0193    0.0006    0.0000
!! is_subsumed                                  39183    2.7269    0.3069    0.0001
!! build_new_clause                             19877    7.3817    0.5643    0.0004
!! demodulate                                   43990   34.3038    0.4362    0.0008
!! demod                                       582631   27.8571    0.4002    0.0000
!! demod.apply_subst                           143776    2.1223    0.3003    0.0000
!! demod.compare_terms                          51557    2.7433    0.3203    0.0001
!! demod.retrieve_generalizations              582631   13.7114    0.4001    0.0000
!! demod.unify                                 108902    3.1753    0.4001    0.0000
!! build_clause                                 40208    6.8644    0.5642    0.0002
!! compare_terms(nrkbo)                         95576    5.7477    0.4002    0.0001
!! compare_terms(nrkbo)                             3    0.0001    0.0000    0.0000
9308: Facts:
9308:  Id :   2, {_}:
          divide (inverse (divide (divide (divide ?2 ?3) ?4) (divide ?5 ?4)))
            (divide ?3 ?2)
          =>=
          ?5
          [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
9308:  Id :   3, {_}:
          multiply ?7 ?8 =<= divide ?7 (inverse ?8)
          [8, 7] by multiply ?7 ?8
9308: Goal:
9308:  Id :   1, {_}:
          multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
          [] by prove_these_axioms_3
Statistics :
Max weight : 50
Found proof, 64.946659s
% SZS status Unsatisfiable for GRP477-1.p
% SZS output start CNFRefutation for GRP477-1.p
Id :   2, {_}: divide (inverse (divide (divide (divide ?2 ?3) ?4) (divide ?5 ?4))) (divide ?3 ?2) =>= ?5 [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
Id :   4, {_}: divide (inverse (divide (divide (divide ?10 ?11) ?12) (divide ?13 ?12))) (divide ?11 ?10) =>= ?13 [13, 12, 11, 10] by single_axiom ?10 ?11 ?12 ?13
Id :   3, {_}: multiply ?7 ?8 =<= divide ?7 (inverse ?8) [8, 7] by multiply ?7 ?8
Id :   5, {_}: divide (inverse (divide (divide (divide (divide ?15 ?16) (inverse (divide (divide (divide ?16 ?15) ?17) (divide ?18 ?17)))) ?19) (divide ?20 ?19))) ?18 =>= ?20 [20, 19, 18, 17, 16, 15] by Super 4 with 2 at 2,2
Id :  17, {_}: divide (inverse (divide (divide (multiply (divide ?15 ?16) (divide (divide (divide ?16 ?15) ?17) (divide ?18 ?17))) ?19) (divide ?20 ?19))) ?18 =>= ?20 [20, 19, 18, 17, 16, 15] by Demod 5 with 3 at 1,1,1,1,2
Id :  20, {_}: divide (inverse (divide (divide (divide ?80 ?81) ?82) ?83)) (divide ?81 ?80) =?= inverse (divide (divide (multiply (divide ?84 ?85) (divide (divide (divide ?85 ?84) ?86) (divide ?82 ?86))) ?87) (divide ?83 ?87)) [87, 86, 85, 84, 83, 82, 81, 80] by Super 2 with 17 at 2,1,1,2
Id : 1147, {_}: divide (divide (inverse (divide (divide (divide ?6397 ?6398) ?6399) ?6400)) (divide ?6398 ?6397)) ?6399 =>= ?6400 [6400, 6399, 6398, 6397] by Super 17 with 20 at 1,2
Id : 1159, {_}: divide (divide (inverse (divide (divide (divide (inverse ?6489) ?6490) ?6491) ?6492)) (multiply ?6490 ?6489)) ?6491 =>= ?6492 [6492, 6491, 6490, 6489] by Super 1147 with 3 at 2,1,2
Id :  18, {_}: multiply (inverse (divide (divide (multiply (divide ?64 ?65) (divide (divide (divide ?65 ?64) ?66) (divide (inverse ?67) ?66))) ?68) (divide ?69 ?68))) ?67 =>= ?69 [69, 68, 67, 66, 65, 64] by Super 3 with 17 at 3
Id : 886, {_}: multiply (divide (inverse (divide (divide (divide ?4983 ?4984) (inverse ?4985)) ?4986)) (divide ?4984 ?4983)) ?4985 =>= ?4986 [4986, 4985, 4984, 4983] by Super 18 with 20 at 1,2
Id : 983, {_}: multiply (divide (inverse (divide (multiply (divide ?4983 ?4984) ?4985) ?4986)) (divide ?4984 ?4983)) ?4985 =>= ?4986 [4986, 4985, 4984, 4983] by Demod 886 with 3 at 1,1,1,1,2
Id : 1614, {_}: divide (divide (inverse (divide (divide (divide (inverse ?8515) ?8516) ?8517) ?8518)) (multiply ?8516 ?8515)) ?8517 =>= ?8518 [8518, 8517, 8516, 8515] by Super 1147 with 3 at 2,1,2
Id : 1636, {_}: divide (divide (inverse (divide (divide (multiply (inverse ?8693) ?8694) ?8695) ?8696)) (multiply (inverse ?8694) ?8693)) ?8695 =>= ?8696 [8696, 8695, 8694, 8693] by Super 1614 with 3 at 1,1,1,1,1,2
Id :   7, {_}: divide (inverse (divide (divide ?29 ?30) (divide ?31 ?30))) (divide (divide ?32 ?33) (inverse (divide (divide (divide ?33 ?32) ?34) (divide ?29 ?34)))) =>= ?31 [34, 33, 32, 31, 30, 29] by Super 4 with 2 at 1,1,1,1,2
Id : 306, {_}: divide (inverse (divide (divide ?1495 ?1496) (divide ?1497 ?1496))) (multiply (divide ?1498 ?1499) (divide (divide (divide ?1499 ?1498) ?1500) (divide ?1495 ?1500))) =>= ?1497 [1500, 1499, 1498, 1497, 1496, 1495] by Demod 7 with 3 at 2,2
Id :   6, {_}: divide (inverse (divide (divide (divide ?22 ?23) (divide ?24 ?25)) ?26)) (divide ?23 ?22) =?= inverse (divide (divide (divide ?25 ?24) ?27) (divide ?26 ?27)) [27, 26, 25, 24, 23, 22] by Super 4 with 2 at 2,1,1,2
Id : 117, {_}: inverse (divide (divide (divide ?560 ?561) ?562) (divide (divide ?563 (divide ?561 ?560)) ?562)) =>= ?563 [563, 562, 561, 560] by Super 2 with 6 at 2
Id : 343, {_}: divide ?1844 (multiply (divide ?1845 ?1846) (divide (divide (divide ?1846 ?1845) ?1847) (divide (divide ?1848 ?1849) ?1847))) =>= divide ?1844 (divide ?1849 ?1848) [1849, 1848, 1847, 1846, 1845, 1844] by Super 306 with 117 at 1,2
Id : 13688, {_}: divide (divide (inverse (divide (divide (multiply (inverse ?74033) ?74034) ?74035) (divide ?74036 ?74037))) (multiply (inverse ?74034) ?74033)) ?74035 =?= multiply (divide ?74038 ?74039) (divide (divide (divide ?74039 ?74038) ?74040) (divide (divide ?74037 ?74036) ?74040)) [74040, 74039, 74038, 74037, 74036, 74035, 74034, 74033] by Super 1636 with 343 at 1,1,1,2
Id : 13919, {_}: divide ?74036 ?74037 =<= multiply (divide ?74038 ?74039) (divide (divide (divide ?74039 ?74038) ?74040) (divide (divide ?74037 ?74036) ?74040)) [74040, 74039, 74038, 74037, 74036] by Demod 13688 with 1636 at 2
Id : 1174, {_}: divide (divide (inverse (multiply (divide (divide ?6597 ?6598) ?6599) ?6600)) (divide ?6598 ?6597)) ?6599 =>= inverse ?6600 [6600, 6599, 6598, 6597] by Super 1147 with 3 at 1,1,1,2
Id : 14271, {_}: divide (divide (inverse (divide ?76146 ?76147)) (divide ?76148 ?76149)) ?76150 =<= inverse (divide (divide (divide ?76150 (divide ?76149 ?76148)) ?76151) (divide (divide ?76147 ?76146) ?76151)) [76151, 76150, 76149, 76148, 76147, 76146] by Super 1174 with 13919 at 1,1,1,2
Id : 14577, {_}: divide (divide (divide (inverse (divide ?77568 ?77569)) (divide ?77570 ?77571)) ?77572) (divide (divide ?77571 ?77570) ?77572) =>= divide ?77569 ?77568 [77572, 77571, 77570, 77569, 77568] by Super 2 with 14271 at 1,2
Id : 21464, {_}: divide ?110283 ?110284 =<= multiply (divide (divide ?110283 ?110284) (inverse (divide ?110285 ?110286))) (divide ?110286 ?110285) [110286, 110285, 110284, 110283] by Super 13919 with 14577 at 2,3
Id : 22077, {_}: divide ?114166 ?114167 =<= multiply (multiply (divide ?114166 ?114167) (divide ?114168 ?114169)) (divide ?114169 ?114168) [114169, 114168, 114167, 114166] by Demod 21464 with 3 at 1,3
Id : 22134, {_}: divide (inverse (divide (divide (divide ?114625 ?114626) ?114627) (divide ?114628 ?114627))) (divide ?114626 ?114625) =?= multiply (multiply ?114628 (divide ?114629 ?114630)) (divide ?114630 ?114629) [114630, 114629, 114628, 114627, 114626, 114625] by Super 22077 with 2 at 1,1,3
Id : 22280, {_}: ?114628 =<= multiply (multiply ?114628 (divide ?114629 ?114630)) (divide ?114630 ?114629) [114630, 114629, 114628] by Demod 22134 with 2 at 2
Id : 214, {_}: inverse (divide (divide (divide ?1015 ?1016) ?1017) (divide (divide ?1018 (divide ?1016 ?1015)) ?1017)) =>= ?1018 [1018, 1017, 1016, 1015] by Super 2 with 6 at 2
Id : 225, {_}: inverse (divide (divide (divide ?1093 ?1094) (inverse ?1095)) (multiply (divide ?1096 (divide ?1094 ?1093)) ?1095)) =>= ?1096 [1096, 1095, 1094, 1093] by Super 214 with 3 at 2,1,2
Id : 244, {_}: inverse (divide (multiply (divide ?1093 ?1094) ?1095) (multiply (divide ?1096 (divide ?1094 ?1093)) ?1095)) =>= ?1096 [1096, 1095, 1094, 1093] by Demod 225 with 3 at 1,1,2
Id : 21627, {_}: divide (divide (inverse (divide ?111807 ?111808)) (divide ?111808 ?111807)) (inverse (divide ?111809 ?111810)) =>= inverse (divide ?111810 ?111809) [111810, 111809, 111808, 111807] by Super 14271 with 14577 at 1,3
Id : 21811, {_}: multiply (divide (inverse (divide ?111807 ?111808)) (divide ?111808 ?111807)) (divide ?111809 ?111810) =>= inverse (divide ?111810 ?111809) [111810, 111809, 111808, 111807] by Demod 21627 with 3 at 2
Id : 24956, {_}: inverse (divide (inverse (divide ?127751 ?127752)) (multiply (divide ?127753 (divide (divide ?127754 ?127755) (inverse (divide ?127755 ?127754)))) (divide ?127752 ?127751))) =>= ?127753 [127755, 127754, 127753, 127752, 127751] by Super 244 with 21811 at 1,1,2
Id :   9, {_}: divide (inverse (divide (divide (divide (inverse ?38) ?39) ?40) (divide ?41 ?40))) (multiply ?39 ?38) =>= ?41 [41, 40, 39, 38] by Super 2 with 3 at 2,2
Id : 21526, {_}: divide (inverse (divide ?110864 ?110865)) (multiply (divide ?110866 ?110867) (divide ?110865 ?110864)) =>= divide ?110867 ?110866 [110867, 110866, 110865, 110864] by Super 9 with 14577 at 1,1,2
Id : 25225, {_}: inverse (divide (divide (divide ?127754 ?127755) (inverse (divide ?127755 ?127754))) ?127753) =>= ?127753 [127753, 127755, 127754] by Demod 24956 with 21526 at 1,2
Id : 25226, {_}: inverse (divide (multiply (divide ?127754 ?127755) (divide ?127755 ?127754)) ?127753) =>= ?127753 [127753, 127755, 127754] by Demod 25225 with 3 at 1,1,2
Id : 25436, {_}: multiply (divide ?129669 (divide ?129670 ?129671)) (divide ?129670 ?129671) =>= ?129669 [129671, 129670, 129669] by Super 244 with 25226 at 2
Id : 25620, {_}: divide ?130549 (divide ?130550 ?130551) =>= multiply ?130549 (divide ?130551 ?130550) [130551, 130550, 130549] by Super 22280 with 25436 at 1,3
Id : 25989, {_}: multiply (multiply (inverse (divide (multiply (divide ?4983 ?4984) ?4985) ?4986)) (divide ?4983 ?4984)) ?4985 =>= ?4986 [4986, 4985, 4984, 4983] by Demod 983 with 25620 at 1,2
Id : 26321, {_}: multiply (multiply (inverse (multiply (multiply (divide ?133710 ?133711) ?133712) (divide ?133713 ?133714))) (divide ?133710 ?133711)) ?133712 =>= divide ?133714 ?133713 [133714, 133713, 133712, 133711, 133710] by Super 25989 with 25620 at 1,1,1,2
Id : 1240, {_}: multiply (divide (inverse (divide (multiply (divide ?6752 ?6753) ?6754) ?6755)) (divide ?6753 ?6752)) ?6754 =>= ?6755 [6755, 6754, 6753, 6752] by Demod 886 with 3 at 1,1,1,1,2
Id : 1266, {_}: multiply (divide (inverse (multiply (multiply (divide ?6947 ?6948) ?6949) ?6950)) (divide ?6948 ?6947)) ?6949 =>= inverse ?6950 [6950, 6949, 6948, 6947] by Super 1240 with 3 at 1,1,1,2
Id : 25988, {_}: multiply (multiply (inverse (multiply (multiply (divide ?6947 ?6948) ?6949) ?6950)) (divide ?6947 ?6948)) ?6949 =>= inverse ?6950 [6950, 6949, 6948, 6947] by Demod 1266 with 25620 at 1,2
Id : 26434, {_}: inverse (divide ?133713 ?133714) =>= divide ?133714 ?133713 [133714, 133713] by Demod 26321 with 25988 at 2
Id : 26673, {_}: divide (divide (divide ?6492 (divide (divide (inverse ?6489) ?6490) ?6491)) (multiply ?6490 ?6489)) ?6491 =>= ?6492 [6491, 6490, 6489, 6492] by Demod 1159 with 26434 at 1,1,2
Id : 26710, {_}: divide (divide (multiply ?6492 (divide ?6491 (divide (inverse ?6489) ?6490))) (multiply ?6490 ?6489)) ?6491 =>= ?6492 [6490, 6489, 6491, 6492] by Demod 26673 with 25620 at 1,1,2
Id : 26711, {_}: divide (divide (multiply ?6492 (multiply ?6491 (divide ?6490 (inverse ?6489)))) (multiply ?6490 ?6489)) ?6491 =>= ?6492 [6489, 6490, 6491, 6492] by Demod 26710 with 25620 at 2,1,1,2
Id : 26712, {_}: divide (divide (multiply ?6492 (multiply ?6491 (multiply ?6490 ?6489))) (multiply ?6490 ?6489)) ?6491 =>= ?6492 [6489, 6490, 6491, 6492] by Demod 26711 with 3 at 2,2,1,1,2
Id : 22430, {_}: ?115839 =<= multiply (multiply ?115839 (divide ?115840 ?115841)) (divide ?115841 ?115840) [115841, 115840, 115839] by Demod 22134 with 2 at 2
Id : 22458, {_}: ?116038 =<= multiply (multiply ?116038 (divide (inverse ?116039) ?116040)) (multiply ?116040 ?116039) [116040, 116039, 116038] by Super 22430 with 3 at 2,3
Id : 26758, {_}: inverse (divide ?134572 ?134573) =>= divide ?134573 ?134572 [134573, 134572] by Demod 26321 with 25988 at 2
Id : 26801, {_}: inverse (multiply ?134835 ?134836) =<= divide (inverse ?134836) ?134835 [134836, 134835] by Super 26758 with 3 at 1,2
Id : 26886, {_}: ?116038 =<= multiply (multiply ?116038 (inverse (multiply ?116040 ?116039))) (multiply ?116040 ?116039) [116039, 116040, 116038] by Demod 22458 with 26801 at 2,1,3
Id : 26937, {_}: inverse (inverse (multiply ?135004 ?135005)) =>= divide ?135004 (inverse ?135005) [135005, 135004] by Super 26434 with 26801 at 1,2
Id : 27593, {_}: inverse (inverse (multiply ?137071 ?137072)) =>= multiply ?137071 ?137072 [137072, 137071] by Demod 26937 with 3 at 3
Id : 26003, {_}: multiply (inverse (divide (divide (divide ?2 ?3) ?4) (divide ?5 ?4))) (divide ?2 ?3) =>= ?5 [5, 4, 3, 2] by Demod 2 with 25620 at 2
Id : 26004, {_}: multiply (inverse (multiply (divide (divide ?2 ?3) ?4) (divide ?4 ?5))) (divide ?2 ?3) =>= ?5 [5, 4, 3, 2] by Demod 26003 with 25620 at 1,1,2
Id : 27597, {_}: inverse (inverse ?137091) =<= multiply (inverse (multiply (divide (divide ?137092 ?137093) ?137094) (divide ?137094 ?137091))) (divide ?137092 ?137093) [137094, 137093, 137092, 137091] by Super 27593 with 26004 at 1,1,2
Id : 27673, {_}: inverse (inverse ?137091) =>= ?137091 [137091] by Demod 27597 with 26004 at 3
Id : 27775, {_}: multiply ?137570 (inverse ?137571) =>= divide ?137570 ?137571 [137571, 137570] by Super 3 with 27673 at 2,3
Id : 27862, {_}: ?116038 =<= multiply (divide ?116038 (multiply ?116040 ?116039)) (multiply ?116040 ?116039) [116039, 116040, 116038] by Demod 26886 with 27775 at 1,3
Id :  22, {_}: divide (inverse (divide (divide (multiply (divide ?98 ?99) (divide (divide (divide ?99 ?98) ?100) (divide ?101 ?100))) ?102) (divide ?103 ?102))) ?101 =>= ?103 [103, 102, 101, 100, 99, 98] by Demod 5 with 3 at 1,1,1,1,2
Id :  26, {_}: divide (inverse (divide (divide (multiply (divide ?132 ?133) (divide (divide (divide ?133 ?132) (divide ?134 ?135)) ?136)) ?137) (divide ?138 ?137))) (inverse (divide (divide (divide ?135 ?134) ?139) (divide ?136 ?139))) =>= ?138 [139, 138, 137, 136, 135, 134, 133, 132] by Super 22 with 2 at 2,2,1,1,1,1,2
Id :  42, {_}: multiply (inverse (divide (divide (multiply (divide ?132 ?133) (divide (divide (divide ?133 ?132) (divide ?134 ?135)) ?136)) ?137) (divide ?138 ?137))) (divide (divide (divide ?135 ?134) ?139) (divide ?136 ?139)) =>= ?138 [139, 138, 137, 136, 135, 134, 133, 132] by Demod 26 with 3 at 2
Id : 27019, {_}: inverse (multiply (divide ?135546 ?135547) ?135548) =<= multiply (inverse ?135548) (divide ?135547 ?135546) [135548, 135547, 135546] by Super 25620 with 26801 at 2
Id : 31814, {_}: inverse (multiply (divide (divide ?136 ?139) (divide (divide ?135 ?134) ?139)) (divide (divide (multiply (divide ?132 ?133) (divide (divide (divide ?133 ?132) (divide ?134 ?135)) ?136)) ?137) (divide ?138 ?137))) =>= ?138 [138, 137, 133, 132, 134, 135, 139, 136] by Demod 42 with 27019 at 2
Id : 26761, {_}: inverse (multiply ?134585 (divide ?134586 ?134587)) =>= divide (divide ?134587 ?134586) ?134585 [134587, 134586, 134585] by Super 26758 with 25620 at 1,2
Id : 31815, {_}: divide (divide (divide ?138 ?137) (divide (multiply (divide ?132 ?133) (divide (divide (divide ?133 ?132) (divide ?134 ?135)) ?136)) ?137)) (divide (divide ?136 ?139) (divide (divide ?135 ?134) ?139)) =>= ?138 [139, 136, 135, 134, 133, 132, 137, 138] by Demod 31814 with 26761 at 2
Id : 31816, {_}: multiply (divide (divide ?138 ?137) (divide (multiply (divide ?132 ?133) (divide (divide (divide ?133 ?132) (divide ?134 ?135)) ?136)) ?137)) (divide (divide (divide ?135 ?134) ?139) (divide ?136 ?139)) =>= ?138 [139, 136, 135, 134, 133, 132, 137, 138] by Demod 31815 with 25620 at 2
Id : 31817, {_}: multiply (multiply (divide ?138 ?137) (divide ?137 (multiply (divide ?132 ?133) (divide (divide (divide ?133 ?132) (divide ?134 ?135)) ?136)))) (divide (divide (divide ?135 ?134) ?139) (divide ?136 ?139)) =>= ?138 [139, 136, 135, 134, 133, 132, 137, 138] by Demod 31816 with 25620 at 1,2
Id : 31818, {_}: multiply (multiply (divide ?138 ?137) (divide ?137 (multiply (divide ?132 ?133) (divide (divide (divide ?133 ?132) (divide ?134 ?135)) ?136)))) (multiply (divide (divide ?135 ?134) ?139) (divide ?139 ?136)) =>= ?138 [139, 136, 135, 134, 133, 132, 137, 138] by Demod 31817 with 25620 at 2,2
Id : 677, {_}: inverse (divide (divide (divide (inverse ?3469) ?3470) ?3471) (divide (divide ?3472 (multiply ?3470 ?3469)) ?3471)) =>= ?3472 [3472, 3471, 3470, 3469] by Super 214 with 3 at 2,1,2,1,2
Id : 285, {_}: divide (inverse (divide (divide ?29 ?30) (divide ?31 ?30))) (multiply (divide ?32 ?33) (divide (divide (divide ?33 ?32) ?34) (divide ?29 ?34))) =>= ?31 [34, 33, 32, 31, 30, 29] by Demod 7 with 3 at 2,2
Id : 682, {_}: inverse (divide (divide (divide (inverse (divide (divide (divide ?3504 ?3505) ?3506) (divide ?3507 ?3506))) (divide ?3505 ?3504)) ?3508) (divide ?3509 ?3508)) =?= inverse (divide (divide ?3507 ?3510) (divide ?3509 ?3510)) [3510, 3509, 3508, 3507, 3506, 3505, 3504] by Super 677 with 285 at 1,2,1,2
Id : 5821, {_}: inverse (divide (divide ?31423 ?31424) (divide ?31425 ?31424)) =?= inverse (divide (divide ?31423 ?31426) (divide ?31425 ?31426)) [31426, 31425, 31424, 31423] by Demod 682 with 2 at 1,1,1,2
Id : 5822, {_}: inverse (divide (divide ?31428 ?31429) (divide (inverse (divide (divide (divide ?31430 ?31431) ?31432) (divide ?31433 ?31432))) ?31429)) =>= inverse (divide (divide ?31428 (divide ?31431 ?31430)) ?31433) [31433, 31432, 31431, 31430, 31429, 31428] by Super 5821 with 2 at 2,1,3
Id : 25971, {_}: inverse (multiply (divide ?31428 ?31429) (divide ?31429 (inverse (divide (divide (divide ?31430 ?31431) ?31432) (divide ?31433 ?31432))))) =>= inverse (divide (divide ?31428 (divide ?31431 ?31430)) ?31433) [31433, 31432, 31431, 31430, 31429, 31428] by Demod 5822 with 25620 at 1,2
Id : 25972, {_}: inverse (multiply (divide ?31428 ?31429) (divide ?31429 (inverse (divide (divide (divide ?31430 ?31431) ?31432) (divide ?31433 ?31432))))) =>= inverse (divide (multiply ?31428 (divide ?31430 ?31431)) ?31433) [31433, 31432, 31431, 31430, 31429, 31428] by Demod 25971 with 25620 at 1,1,3
Id : 25973, {_}: inverse (multiply (divide ?31428 ?31429) (divide ?31429 (inverse (multiply (divide (divide ?31430 ?31431) ?31432) (divide ?31432 ?31433))))) =>= inverse (divide (multiply ?31428 (divide ?31430 ?31431)) ?31433) [31433, 31432, 31431, 31430, 31429, 31428] by Demod 25972 with 25620 at 1,2,2,1,2
Id : 26094, {_}: inverse (multiply (divide ?31428 ?31429) (multiply ?31429 (multiply (divide (divide ?31430 ?31431) ?31432) (divide ?31432 ?31433)))) =>= inverse (divide (multiply ?31428 (divide ?31430 ?31431)) ?31433) [31433, 31432, 31431, 31430, 31429, 31428] by Demod 25973 with 3 at 2,1,2
Id : 26692, {_}: inverse (multiply (divide ?31428 ?31429) (multiply ?31429 (multiply (divide (divide ?31430 ?31431) ?31432) (divide ?31432 ?31433)))) =>= divide ?31433 (multiply ?31428 (divide ?31430 ?31431)) [31433, 31432, 31431, 31430, 31429, 31428] by Demod 26094 with 26434 at 3
Id : 5846, {_}: inverse (divide (divide (inverse (divide (divide (divide ?31616 ?31617) ?31618) (divide ?31619 ?31618))) ?31620) (divide ?31621 ?31620)) =>= inverse (divide ?31619 (divide ?31621 (divide ?31617 ?31616))) [31621, 31620, 31619, 31618, 31617, 31616] by Super 5821 with 2 at 1,1,3
Id : 25966, {_}: inverse (multiply (divide (inverse (divide (divide (divide ?31616 ?31617) ?31618) (divide ?31619 ?31618))) ?31620) (divide ?31620 ?31621)) =>= inverse (divide ?31619 (divide ?31621 (divide ?31617 ?31616))) [31621, 31620, 31619, 31618, 31617, 31616] by Demod 5846 with 25620 at 1,2
Id : 25967, {_}: inverse (multiply (divide (inverse (divide (divide (divide ?31616 ?31617) ?31618) (divide ?31619 ?31618))) ?31620) (divide ?31620 ?31621)) =>= inverse (multiply ?31619 (divide (divide ?31617 ?31616) ?31621)) [31621, 31620, 31619, 31618, 31617, 31616] by Demod 25966 with 25620 at 1,3
Id : 25968, {_}: inverse (multiply (divide (inverse (multiply (divide (divide ?31616 ?31617) ?31618) (divide ?31618 ?31619))) ?31620) (divide ?31620 ?31621)) =>= inverse (multiply ?31619 (divide (divide ?31617 ?31616) ?31621)) [31621, 31620, 31619, 31618, 31617, 31616] by Demod 25967 with 25620 at 1,1,1,1,2
Id : 26869, {_}: inverse (multiply (inverse (multiply ?31620 (multiply (divide (divide ?31616 ?31617) ?31618) (divide ?31618 ?31619)))) (divide ?31620 ?31621)) =>= inverse (multiply ?31619 (divide (divide ?31617 ?31616) ?31621)) [31621, 31619, 31618, 31617, 31616, 31620] by Demod 25968 with 26801 at 1,1,2
Id : 27001, {_}: multiply (inverse ?135446) ?135447 =<= inverse (multiply (inverse ?135447) ?135446) [135447, 135446] by Super 3 with 26801 at 3
Id : 27339, {_}: multiply (inverse (divide ?31620 ?31621)) (multiply ?31620 (multiply (divide (divide ?31616 ?31617) ?31618) (divide ?31618 ?31619))) =>= inverse (multiply ?31619 (divide (divide ?31617 ?31616) ?31621)) [31619, 31618, 31617, 31616, 31621, 31620] by Demod 26869 with 27001 at 2
Id : 27340, {_}: multiply (divide ?31621 ?31620) (multiply ?31620 (multiply (divide (divide ?31616 ?31617) ?31618) (divide ?31618 ?31619))) =>= inverse (multiply ?31619 (divide (divide ?31617 ?31616) ?31621)) [31619, 31618, 31617, 31616, 31620, 31621] by Demod 27339 with 26434 at 1,2
Id : 27341, {_}: inverse (inverse (multiply ?31433 (divide (divide ?31431 ?31430) ?31428))) =>= divide ?31433 (multiply ?31428 (divide ?31430 ?31431)) [31428, 31430, 31431, 31433] by Demod 26692 with 27340 at 1,2
Id : 27295, {_}: inverse (inverse (multiply ?135004 ?135005)) =>= multiply ?135004 ?135005 [135005, 135004] by Demod 26937 with 3 at 3
Id : 27547, {_}: multiply ?31433 (divide (divide ?31431 ?31430) ?31428) =<= divide ?31433 (multiply ?31428 (divide ?31430 ?31431)) [31428, 31430, 31431, 31433] by Demod 27341 with 27295 at 2
Id : 31819, {_}: multiply (multiply (divide ?138 ?137) (multiply ?137 (divide (divide ?136 (divide (divide ?133 ?132) (divide ?134 ?135))) (divide ?132 ?133)))) (multiply (divide (divide ?135 ?134) ?139) (divide ?139 ?136)) =>= ?138 [139, 135, 134, 132, 133, 136, 137, 138] by Demod 31818 with 27547 at 2,1,2
Id : 31820, {_}: multiply (multiply (divide ?138 ?137) (multiply ?137 (multiply (divide ?136 (divide (divide ?133 ?132) (divide ?134 ?135))) (divide ?133 ?132)))) (multiply (divide (divide ?135 ?134) ?139) (divide ?139 ?136)) =>= ?138 [139, 135, 134, 132, 133, 136, 137, 138] by Demod 31819 with 25620 at 2,2,1,2
Id : 31821, {_}: multiply (multiply (divide ?138 ?137) (multiply ?137 (multiply (multiply ?136 (divide (divide ?134 ?135) (divide ?133 ?132))) (divide ?133 ?132)))) (multiply (divide (divide ?135 ?134) ?139) (divide ?139 ?136)) =>= ?138 [139, 132, 133, 135, 134, 136, 137, 138] by Demod 31820 with 25620 at 1,2,2,1,2
Id : 31822, {_}: multiply (multiply (divide ?138 ?137) (multiply ?137 (multiply (multiply ?136 (multiply (divide ?134 ?135) (divide ?132 ?133))) (divide ?133 ?132)))) (multiply (divide (divide ?135 ?134) ?139) (divide ?139 ?136)) =>= ?138 [139, 133, 132, 135, 134, 136, 137, 138] by Demod 31821 with 25620 at 2,1,2,2,1,2
Id : 31914, {_}: ?147459 =<= multiply (divide ?147459 (multiply (multiply (divide ?147460 ?147461) (multiply ?147461 (multiply (multiply ?147462 (multiply (divide ?147463 ?147464) (divide ?147465 ?147466))) (divide ?147466 ?147465)))) (multiply (divide (divide ?147464 ?147463) ?147467) (divide ?147467 ?147462)))) ?147460 [147467, 147466, 147465, 147464, 147463, 147462, 147461, 147460, 147459] by Super 27862 with 31822 at 2,3
Id : 32284, {_}: ?147459 =<= multiply (divide ?147459 ?147460) ?147460 [147460, 147459] by Demod 31914 with 31822 at 2,1,3
Id : 42945, {_}: divide (divide ?174307 (multiply ?174308 ?174309)) ?174310 =>= divide ?174307 (multiply ?174310 (multiply ?174308 ?174309)) [174310, 174309, 174308, 174307] by Super 26712 with 32284 at 1,1,2
Id : 1473, {_}: multiply (divide (inverse (multiply (multiply (divide ?7790 ?7791) ?7792) ?7793)) (divide ?7791 ?7790)) ?7792 =>= inverse ?7793 [7793, 7792, 7791, 7790] by Super 1240 with 3 at 1,1,1,2
Id : 1499, {_}: multiply (divide (inverse (multiply (multiply (multiply ?7988 ?7989) ?7990) ?7991)) (divide (inverse ?7989) ?7988)) ?7990 =>= inverse ?7991 [7991, 7990, 7989, 7988] by Super 1473 with 3 at 1,1,1,1,1,2
Id : 25984, {_}: multiply (multiply (inverse (multiply (multiply (multiply ?7988 ?7989) ?7990) ?7991)) (divide ?7988 (inverse ?7989))) ?7990 =>= inverse ?7991 [7991, 7990, 7989, 7988] by Demod 1499 with 25620 at 1,2
Id : 26092, {_}: multiply (multiply (inverse (multiply (multiply (multiply ?7988 ?7989) ?7990) ?7991)) (multiply ?7988 ?7989)) ?7990 =>= inverse ?7991 [7991, 7990, 7989, 7988] by Demod 25984 with 3 at 2,1,2
Id : 42946, {_}: divide (divide ?174312 (inverse ?174313)) ?174314 =<= divide ?174312 (multiply ?174314 (multiply (multiply (inverse (multiply (multiply (multiply ?174315 ?174316) ?174317) ?174313)) (multiply ?174315 ?174316)) ?174317)) [174317, 174316, 174315, 174314, 174313, 174312] by Super 42945 with 26092 at 2,1,2
Id : 43271, {_}: divide (multiply ?174312 ?174313) ?174314 =<= divide ?174312 (multiply ?174314 (multiply (multiply (inverse (multiply (multiply (multiply ?174315 ?174316) ?174317) ?174313)) (multiply ?174315 ?174316)) ?174317)) [174317, 174316, 174315, 174314, 174313, 174312] by Demod 42946 with 3 at 1,2
Id : 43272, {_}: divide (multiply ?174312 ?174313) ?174314 =<= divide ?174312 (multiply ?174314 (inverse ?174313)) [174314, 174313, 174312] by Demod 43271 with 26092 at 2,2,3
Id : 43273, {_}: divide (multiply ?174312 ?174313) ?174314 =>= divide ?174312 (divide ?174314 ?174313) [174314, 174313, 174312] by Demod 43272 with 27775 at 2,3
Id : 43274, {_}: divide (multiply ?174312 ?174313) ?174314 =>= multiply ?174312 (divide ?174313 ?174314) [174314, 174313, 174312] by Demod 43273 with 25620 at 3
Id : 43783, {_}: multiply (multiply ?175395 ?175396) ?175397 =<= multiply ?175395 (divide ?175396 (inverse ?175397)) [175397, 175396, 175395] by Super 3 with 43274 at 3
Id : 43947, {_}: multiply (multiply ?175395 ?175396) ?175397 =>= multiply ?175395 (multiply ?175396 ?175397) [175397, 175396, 175395] by Demod 43783 with 3 at 2,3
Id : 44792, {_}: multiply a3 (multiply b3 c3) =?= multiply a3 (multiply b3 c3) [] by Demod 1 with 43947 at 2
Id :   1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% SZS output end CNFRefutation for GRP477-1.p
9309: solved GRP477-1.p in 14.404899 using kbo
!! infer_left                                     128    0.0002    0.0000    0.0000
!! infer_right                                    129   46.8829    1.9968    0.3634
!! simplify_goal                                  129    0.2569    0.2441    0.0020
!! keep_simplified                                442   15.6226    2.4764    0.0353
!! simplification_step                            795   15.6128    0.8136    0.0196
!! simplify                                     49647   46.6288    0.8045    0.0009
!! orphan_murder                                  525    0.0219    0.0005    0.0000
!! is_subsumed                                  44239    4.8168    0.8045    0.0001
!! build_new_clause                             21388    7.4291    0.8064    0.0003
!! demodulate                                   49576   41.2861    0.4124    0.0008
!! demod                                       632193   31.2988    0.4122    0.0000
!! demod.apply_subst                           159302    2.3384    0.4005    0.0000
!! demod.compare_terms                          56056    2.7296    0.4002    0.0000
!! demod.retrieve_generalizations              632193   18.1739    0.4122    0.0000
!! demod.unify                                 151415    3.4036    0.4005    0.0000
!! build_clause                                 44983    7.0199    0.8063    0.0002
!! compare_terms(kbo)                          105544    6.7275    0.6569    0.0001
!! compare_terms(nrkbo)                             3    0.0001    0.0000    0.0000
9344: Facts:
9344:  Id :   2, {_}:
          divide
            (inverse
              (divide (divide (divide ?2 ?2) ?3) (divide ?4 (divide ?3 ?5))))
            ?5
          =>=
          ?4
          [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
9344:  Id :   3, {_}:
          multiply ?7 ?8 =<= divide ?7 (inverse ?8)
          [8, 7] by multiply ?7 ?8
9344: Goal:
9344:  Id :   1, {_}:
          multiply (inverse a1) a1 =<= multiply (inverse b1) b1
          [] by prove_these_axioms_1
% SZS status Timeout for GRP478-1.p
9433: Facts:
9433:  Id :   2, {_}:
          divide
            (inverse
              (divide (divide (divide ?2 ?2) ?3) (divide ?4 (divide ?3 ?5))))
            ?5
          =>=
          ?4
          [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
9433:  Id :   3, {_}:
          multiply ?7 ?8 =<= divide ?7 (inverse ?8)
          [8, 7] by multiply ?7 ?8
9433: Goal:
9433:  Id :   1, {_}:
          multiply (multiply (inverse b2) b2) a2 =>= a2
          [] by prove_these_axioms_2
% SZS status Timeout for GRP479-1.p
9465: Facts:
9465:  Id :   2, {_}:
          divide
            (inverse
              (divide (divide (divide ?2 ?2) ?3) (divide ?4 (divide ?3 ?5))))
            ?5
          =>=
          ?4
          [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
9465:  Id :   3, {_}:
          multiply ?7 ?8 =<= divide ?7 (inverse ?8)
          [8, 7] by multiply ?7 ?8
9465: Goal:
9465:  Id :   1, {_}:
          multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
          [] by prove_these_axioms_3
% SZS status Timeout for GRP480-1.p
9510: Facts:
9510:  Id :   2, {_}:
          multiply
            (inverse
              (multiply
                (inverse
                  (multiply (inverse (multiply ?2 ?3)) (multiply ?3 ?2)))
                (multiply (inverse (multiply ?4 ?5))
                  (multiply ?4
                    (inverse
                      (multiply (multiply ?6 (inverse ?7)) (inverse ?5)))))))
            ?7
          =>=
          ?6
          [7, 6, 5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5 ?6 ?7
9510: Goal:
9510:  Id :   1, {_}:
          multiply (inverse a1) a1 =<= multiply (inverse b1) b1
          [] by prove_these_axioms_1
% SZS status Timeout for GRP505-1.p
9543: Facts:
9543:  Id :   2, {_}:
          multiply
            (inverse
              (multiply
                (inverse
                  (multiply (inverse (multiply ?2 ?3)) (multiply ?3 ?2)))
                (multiply (inverse (multiply ?4 ?5))
                  (multiply ?4
                    (inverse
                      (multiply (multiply ?6 (inverse ?7)) (inverse ?5)))))))
            ?7
          =>=
          ?6
          [7, 6, 5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5 ?6 ?7
9543: Goal:
9543:  Id :   1, {_}:
          multiply (multiply (inverse b2) b2) a2 =>= a2
          [] by prove_these_axioms_2
% SZS status Timeout for GRP506-1.p
9579: Facts:
9579:  Id :   2, {_}:
          multiply
            (inverse
              (multiply
                (inverse
                  (multiply (inverse (multiply ?2 ?3)) (multiply ?3 ?2)))
                (multiply (inverse (multiply ?4 ?5))
                  (multiply ?4
                    (inverse
                      (multiply (multiply ?6 (inverse ?7)) (inverse ?5)))))))
            ?7
          =>=
          ?6
          [7, 6, 5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5 ?6 ?7
9579: Goal:
9579:  Id :   1, {_}:
          multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
          [] by prove_these_axioms_3
% SZS status Timeout for GRP507-1.p
9608: Facts:
9608:  Id :   2, {_}:
          multiply
            (inverse
              (multiply
                (inverse
                  (multiply (inverse (multiply ?2 ?3)) (multiply ?3 ?2)))
                (multiply (inverse (multiply ?4 ?5))
                  (multiply ?4
                    (inverse
                      (multiply (multiply ?6 (inverse ?7)) (inverse ?5)))))))
            ?7
          =>=
          ?6
          [7, 6, 5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5 ?6 ?7
9608: Goal:
9608:  Id :   1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% SZS status Timeout for GRP508-1.p
Fatal error: exception Assert_failure("matitaprover.ml", 280, 46)
9651: Facts:
9651:  Id :   2, {_}: meet ?2 (join ?2 ?3) =>= ?2 [3, 2] by absorption ?2 ?3
9651:  Id :   3, {_}:
          meet ?5 (join ?6 ?7) =<= join (meet ?7 ?5) (meet ?6 ?5)
          [7, 6, 5] by distribution ?5 ?6 ?7
9651: Goal:
9651:  Id :   1, {_}:
          join (join a b) c =>= join a (join b c)
          [] by prove_associativity_of_join
Statistics :
Max weight : 22
Found proof, 58.434253s
% SZS status Unsatisfiable for LAT007-1.p
% SZS output start CNFRefutation for LAT007-1.p
Id :   3, {_}: meet ?5 (join ?6 ?7) =<= join (meet ?7 ?5) (meet ?6 ?5) [7, 6, 5] by distribution ?5 ?6 ?7
Id :   2, {_}: meet ?2 (join ?2 ?3) =>= ?2 [3, 2] by absorption ?2 ?3
Id :   7, {_}: meet ?18 (join ?19 ?20) =<= join (meet ?20 ?18) (meet ?19 ?18) [20, 19, 18] by distribution ?18 ?19 ?20
Id :   8, {_}: meet (join ?22 ?23) (join ?22 ?24) =<= join (meet ?24 (join ?22 ?23)) ?22 [24, 23, 22] by Super 7 with 2 at 2,3
Id :  13, {_}: meet (meet ?44 ?45) (meet ?45 (join ?46 ?44)) =>= meet ?44 ?45 [46, 45, 44] by Super 2 with 3 at 2,2
Id :  15, {_}: meet (meet ?53 ?54) ?54 =>= meet ?53 ?54 [54, 53] by Super 13 with 2 at 2,2
Id :  21, {_}: meet ?68 (join (meet ?69 ?68) ?70) =<= join (meet ?70 ?68) (meet ?69 ?68) [70, 69, 68] by Super 3 with 15 at 2,3
Id :  69, {_}: meet ?209 (join (meet ?210 ?209) ?211) =>= meet ?209 (join ?210 ?211) [211, 210, 209] by Demod 21 with 3 at 3
Id :  74, {_}: meet ?231 (meet ?231 (join ?232 ?233)) =<= meet ?231 (join ?233 (meet ?232 ?231)) [233, 232, 231] by Super 69 with 3 at 2,2
Id :  22, {_}: meet ?72 (join ?73 (meet ?74 ?72)) =<= join (meet ?74 ?72) (meet ?73 ?72) [74, 73, 72] by Super 3 with 15 at 1,3
Id :  33, {_}: meet ?72 (join ?73 (meet ?74 ?72)) =>= meet ?72 (join ?73 ?74) [74, 73, 72] by Demod 22 with 3 at 3
Id : 219, {_}: meet ?572 (meet ?572 (join ?573 ?574)) =>= meet ?572 (join ?574 ?573) [574, 573, 572] by Demod 74 with 33 at 3
Id : 224, {_}: meet ?597 ?597 =<= meet ?597 (join ?598 ?597) [598, 597] by Super 219 with 2 at 2,2
Id : 244, {_}: meet (join ?635 ?636) (join ?635 ?636) =>= join (meet ?636 ?636) ?635 [636, 635] by Super 8 with 224 at 1,3
Id : 247, {_}: meet ?644 ?644 =>= ?644 [644] by Super 2 with 224 at 2
Id : 1690, {_}: join ?635 ?636 =<= join (meet ?636 ?636) ?635 [636, 635] by Demod 244 with 247 at 2
Id : 1691, {_}: join ?635 ?636 =?= join ?636 ?635 [636, 635] by Demod 1690 with 247 at 1,3
Id : 359, {_}: meet ?904 (join ?905 ?904) =<= join ?904 (meet ?905 ?904) [905, 904] by Super 3 with 247 at 1,3
Id : 349, {_}: ?597 =<= meet ?597 (join ?598 ?597) [598, 597] by Demod 224 with 247 at 2
Id : 386, {_}: ?904 =<= join ?904 (meet ?905 ?904) [905, 904] by Demod 359 with 349 at 2
Id :  32, {_}: meet ?68 (join (meet ?69 ?68) ?70) =>= meet ?68 (join ?69 ?70) [70, 69, 68] by Demod 21 with 3 at 3
Id :  36, {_}: meet (join ?109 ?110) (join ?109 ?111) =<= join (meet ?111 (join ?109 ?110)) ?109 [111, 110, 109] by Super 7 with 2 at 2,3
Id :  39, {_}: meet (join ?123 ?124) (join ?123 ?123) =>= join ?123 ?123 [124, 123] by Super 36 with 2 at 1,3
Id :   6, {_}: meet (meet ?14 ?15) (meet ?15 (join ?16 ?14)) =>= meet ?14 ?15 [16, 15, 14] by Super 2 with 3 at 2,2
Id :  11, {_}: meet (meet ?34 (join ?35 ?36)) (join (meet ?36 ?34) ?37) =<= join (meet ?37 (meet ?34 (join ?35 ?36))) (meet ?36 ?34) [37, 36, 35, 34] by Super 3 with 6 at 2,3
Id : 364, {_}: meet (meet ?919 (join ?920 ?919)) (join (meet ?919 ?919) ?921) =>= join (meet ?921 (meet ?919 (join ?920 ?919))) ?919 [921, 920, 919] by Super 11 with 247 at 2,3
Id : 370, {_}: meet ?919 (join (meet ?919 ?919) ?921) =<= join (meet ?921 (meet ?919 (join ?920 ?919))) ?919 [920, 921, 919] by Demod 364 with 349 at 1,2
Id : 371, {_}: meet ?919 (join ?919 ?921) =<= join (meet ?921 (meet ?919 (join ?920 ?919))) ?919 [920, 921, 919] by Demod 370 with 247 at 1,2,2
Id : 372, {_}: meet ?919 (join ?919 ?921) =<= join (meet ?921 ?919) ?919 [921, 919] by Demod 371 with 349 at 2,1,3
Id : 411, {_}: ?977 =<= join (meet ?978 ?977) ?977 [978, 977] by Demod 372 with 2 at 2
Id : 419, {_}: ?1004 =<= join ?1004 ?1004 [1004] by Super 411 with 247 at 1,3
Id : 438, {_}: meet (join ?123 ?124) ?123 =>= join ?123 ?123 [124, 123] by Demod 39 with 419 at 2,2
Id : 439, {_}: meet (join ?123 ?124) ?123 =>= ?123 [124, 123] by Demod 438 with 419 at 3
Id : 420, {_}: join ?1006 ?1007 =<= join ?1007 (join ?1006 ?1007) [1007, 1006] by Super 411 with 349 at 1,3
Id : 709, {_}: meet (join ?1606 ?1607) ?1607 =>= ?1607 [1607, 1606] by Super 439 with 420 at 1,2
Id : 1055, {_}: meet ?2275 (join ?2275 ?2276) =<= meet ?2275 (join (join ?2277 ?2275) ?2276) [2277, 2276, 2275] by Super 32 with 709 at 1,2,2
Id : 1088, {_}: ?2275 =<= meet ?2275 (join (join ?2277 ?2275) ?2276) [2276, 2277, 2275] by Demod 1055 with 2 at 2
Id : 2970, {_}: join (join ?5647 ?5648) ?5649 =<= join (join (join ?5647 ?5648) ?5649) ?5648 [5649, 5648, 5647] by Super 386 with 1088 at 2,3
Id : 7417, {_}: join (join ?13817 ?13818) ?13819 =<= join ?13818 (join (join ?13817 ?13818) ?13819) [13819, 13818, 13817] by Demod 2970 with 1691 at 3
Id : 7418, {_}: join (join ?13821 ?13822) ?13823 =<= join ?13822 (join (join ?13822 ?13821) ?13823) [13823, 13822, 13821] by Super 7417 with 1691 at 1,2,3
Id : 2981, {_}: ?5692 =<= meet ?5692 (join (join ?5693 ?5692) ?5694) [5694, 5693, 5692] by Demod 1055 with 2 at 2
Id : 2982, {_}: ?5696 =<= meet ?5696 (join (join ?5696 ?5697) ?5698) [5698, 5697, 5696] by Super 2981 with 1691 at 1,2,3
Id : 7195, {_}: join (join ?13316 ?13317) ?13318 =<= join (join (join ?13316 ?13317) ?13318) ?13316 [13318, 13317, 13316] by Super 386 with 2982 at 2,3
Id : 7303, {_}: join (join ?13316 ?13317) ?13318 =<= join ?13316 (join (join ?13316 ?13317) ?13318) [13318, 13317, 13316] by Demod 7195 with 1691 at 3
Id : 13196, {_}: join (join ?13821 ?13822) ?13823 =?= join (join ?13822 ?13821) ?13823 [13823, 13822, 13821] by Demod 7418 with 7303 at 3
Id : 706, {_}: meet (join ?1593 (join ?1594 ?1593)) (join ?1593 ?1595) =>= join (meet ?1595 (join ?1594 ?1593)) ?1593 [1595, 1594, 1593] by Super 8 with 420 at 2,1,3
Id : 729, {_}: meet (join ?1594 ?1593) (join ?1593 ?1595) =<= join (meet ?1595 (join ?1594 ?1593)) ?1593 [1595, 1593, 1594] by Demod 706 with 420 at 1,2
Id : 2151, {_}: meet (join ?4188 ?4189) (join ?4189 ?4190) =<= join ?4189 (meet ?4190 (join ?4188 ?4189)) [4190, 4189, 4188] by Demod 729 with 1691 at 3
Id : 446, {_}: meet ?1028 (join ?1029 ?1029) =>= meet ?1029 ?1028 [1029, 1028] by Super 3 with 419 at 3
Id : 462, {_}: meet ?1028 ?1029 =?= meet ?1029 ?1028 [1029, 1028] by Demod 446 with 419 at 2,2
Id : 2167, {_}: meet (join ?4254 ?4255) (join ?4255 ?4256) =<= join ?4255 (meet (join ?4254 ?4255) ?4256) [4256, 4255, 4254] by Super 2151 with 462 at 2,3
Id : 2164, {_}: meet (join (meet ?4243 ?4244) ?4245) (join ?4245 ?4244) =>= join ?4245 (meet ?4244 (join ?4243 ?4245)) [4245, 4244, 4243] by Super 2151 with 32 at 2,3
Id : 2223, {_}: meet (join ?4245 ?4244) (join (meet ?4243 ?4244) ?4245) =>= join ?4245 (meet ?4244 (join ?4243 ?4245)) [4243, 4244, 4245] by Demod 2164 with 462 at 2
Id : 2132, {_}: meet (join ?1594 ?1593) (join ?1593 ?1595) =<= join ?1593 (meet ?1595 (join ?1594 ?1593)) [1595, 1593, 1594] by Demod 729 with 1691 at 3
Id : 2224, {_}: meet (join ?4245 ?4244) (join (meet ?4243 ?4244) ?4245) =>= meet (join ?4243 ?4245) (join ?4245 ?4244) [4243, 4244, 4245] by Demod 2223 with 2132 at 3
Id : 210, {_}: meet ?231 (meet ?231 (join ?232 ?233)) =>= meet ?231 (join ?233 ?232) [233, 232, 231] by Demod 74 with 33 at 3
Id : 449, {_}: meet ?1037 (meet ?1037 ?1038) =?= meet ?1037 (join ?1038 ?1038) [1038, 1037] by Super 210 with 419 at 2,2,2
Id : 457, {_}: meet ?1037 (meet ?1037 ?1038) =>= meet ?1037 ?1038 [1038, 1037] by Demod 449 with 419 at 2,3
Id : 763, {_}: meet (meet ?1697 ?1698) (join (meet ?1697 ?1698) ?1699) =>= meet (meet ?1697 ?1698) (join ?1697 ?1699) [1699, 1698, 1697] by Super 32 with 457 at 1,2,2
Id : 794, {_}: meet ?1697 ?1698 =<= meet (meet ?1697 ?1698) (join ?1697 ?1699) [1699, 1698, 1697] by Demod 763 with 2 at 2
Id : 26342, {_}: meet (join ?48276 ?48277) (join ?48277 (meet ?48276 ?48278)) =>= join ?48277 (meet ?48276 ?48278) [48278, 48277, 48276] by Super 2132 with 794 at 2,3
Id : 26351, {_}: meet (join ?48317 ?48318) (join ?48318 (meet ?48319 ?48317)) =>= join ?48318 (meet ?48317 ?48319) [48319, 48318, 48317] by Super 26342 with 462 at 2,2,2
Id :   9, {_}: meet (join ?26 ?27) (join ?28 ?26) =<= join ?26 (meet ?28 (join ?26 ?27)) [28, 27, 26] by Super 7 with 2 at 1,3
Id :  81, {_}: meet (join ?248 (meet ?249 ?250)) (join ?250 ?248) =>= join ?248 (meet ?250 (join ?248 ?249)) [250, 249, 248] by Super 9 with 33 at 2,3
Id : 112, {_}: meet (join ?248 (meet ?249 ?250)) (join ?250 ?248) =>= meet (join ?248 ?249) (join ?250 ?248) [250, 249, 248] by Demod 81 with 9 at 3
Id : 16863, {_}: meet (join ?250 ?248) (join ?248 (meet ?249 ?250)) =>= meet (join ?248 ?249) (join ?250 ?248) [249, 248, 250] by Demod 112 with 462 at 2
Id : 26588, {_}: meet (join ?48318 ?48319) (join ?48317 ?48318) =>= join ?48318 (meet ?48317 ?48319) [48317, 48319, 48318] by Demod 26351 with 16863 at 2
Id : 26835, {_}: join ?4245 (meet (meet ?4243 ?4244) ?4244) =?= meet (join ?4243 ?4245) (join ?4245 ?4244) [4244, 4243, 4245] by Demod 2224 with 26588 at 2
Id : 26836, {_}: join ?4245 (meet ?4244 (meet ?4243 ?4244)) =?= meet (join ?4243 ?4245) (join ?4245 ?4244) [4243, 4244, 4245] by Demod 26835 with 462 at 2,2
Id : 448, {_}: meet ?1034 (meet ?1035 ?1034) =<= meet ?1034 (join (meet ?1035 ?1034) ?1035) [1035, 1034] by Super 33 with 419 at 2,2
Id : 458, {_}: meet ?1034 (meet ?1035 ?1034) =?= meet ?1034 (join ?1035 ?1035) [1035, 1034] by Demod 448 with 32 at 3
Id : 459, {_}: meet ?1034 (meet ?1035 ?1034) =>= meet ?1034 ?1035 [1035, 1034] by Demod 458 with 419 at 2,3
Id : 26837, {_}: join ?4245 (meet ?4244 ?4243) =<= meet (join ?4243 ?4245) (join ?4245 ?4244) [4243, 4244, 4245] by Demod 26836 with 459 at 2,2
Id : 26838, {_}: join ?4255 (meet ?4256 ?4254) =<= join ?4255 (meet (join ?4254 ?4255) ?4256) [4254, 4256, 4255] by Demod 2167 with 26837 at 2
Id : 26932, {_}: join ?49225 (meet (join ?49226 ?49227) ?49227) =?= join ?49225 (join ?49227 (meet ?49226 ?49225)) [49227, 49226, 49225] by Super 26838 with 26588 at 2,3
Id : 27040, {_}: join ?49225 (meet ?49227 (join ?49226 ?49227)) =?= join ?49225 (join ?49227 (meet ?49226 ?49225)) [49226, 49227, 49225] by Demod 26932 with 462 at 2,2
Id : 28159, {_}: join ?51708 ?51709 =<= join ?51708 (join ?51709 (meet ?51710 ?51708)) [51710, 51709, 51708] by Demod 27040 with 349 at 2,2
Id : 28160, {_}: join (join ?51712 ?51713) ?51714 =<= join (join ?51712 ?51713) (join ?51714 ?51712) [51714, 51713, 51712] by Super 28159 with 2 at 2,2,3
Id : 30454, {_}: join (join ?55473 ?55474) (join ?55474 ?55475) =>= join (join ?55474 ?55475) ?55473 [55475, 55474, 55473] by Super 1691 with 28160 at 3
Id : 1053, {_}: meet ?2267 (meet ?2267 (join ?2268 (join ?2269 ?2267))) =>= meet (join ?2269 ?2267) ?2267 [2269, 2268, 2267] by Super 6 with 709 at 1,2
Id : 1090, {_}: meet ?2267 (join ?2268 (join ?2269 ?2267)) =>= meet (join ?2269 ?2267) ?2267 [2269, 2268, 2267] by Demod 1053 with 457 at 2
Id : 1091, {_}: meet ?2267 (join ?2268 (join ?2269 ?2267)) =>= ?2267 [2269, 2268, 2267] by Demod 1090 with 709 at 3
Id : 3083, {_}: join ?5841 (join ?5842 ?5843) =<= join (join ?5841 (join ?5842 ?5843)) ?5843 [5843, 5842, 5841] by Super 386 with 1091 at 2,3
Id : 8228, {_}: join ?15528 (join ?15529 ?15530) =<= join ?15530 (join ?15528 (join ?15529 ?15530)) [15530, 15529, 15528] by Demod 3083 with 1691 at 3
Id : 8229, {_}: join ?15532 (join ?15533 ?15534) =<= join ?15534 (join ?15532 (join ?15534 ?15533)) [15534, 15533, 15532] by Super 8228 with 1691 at 2,2,3
Id : 3108, {_}: meet ?5950 (join ?5951 (join ?5952 ?5950)) =>= ?5950 [5952, 5951, 5950] by Demod 1090 with 709 at 3
Id : 3109, {_}: meet ?5954 (join ?5955 (join ?5954 ?5956)) =>= ?5954 [5956, 5955, 5954] by Super 3108 with 1691 at 2,2,2
Id : 7993, {_}: join ?15004 (join ?15005 ?15006) =<= join (join ?15004 (join ?15005 ?15006)) ?15005 [15006, 15005, 15004] by Super 386 with 3109 at 2,3
Id : 8109, {_}: join ?15004 (join ?15005 ?15006) =<= join ?15005 (join ?15004 (join ?15005 ?15006)) [15006, 15005, 15004] by Demod 7993 with 1691 at 3
Id : 14115, {_}: join ?15532 (join ?15533 ?15534) =?= join ?15532 (join ?15534 ?15533) [15534, 15533, 15532] by Demod 8229 with 8109 at 3
Id : 27041, {_}: join ?49225 ?49227 =<= join ?49225 (join ?49227 (meet ?49226 ?49225)) [49226, 49227, 49225] by Demod 27040 with 349 at 2,2
Id : 28963, {_}: join ?53277 (join (meet ?53278 ?53277) ?53279) =>= join ?53277 ?53279 [53279, 53278, 53277] by Super 14115 with 27041 at 3
Id : 28992, {_}: join (join ?53418 ?53419) (join ?53419 ?53420) =>= join (join ?53418 ?53419) ?53420 [53420, 53419, 53418] by Super 28963 with 349 at 1,2,2
Id : 32176, {_}: join (join ?55473 ?55474) ?55475 =?= join (join ?55474 ?55475) ?55473 [55475, 55474, 55473] by Demod 30454 with 28992 at 2
Id : 32269, {_}: join ?59536 (join ?59537 ?59538) =<= join (join ?59538 ?59536) ?59537 [59538, 59537, 59536] by Super 1691 with 32176 at 3
Id : 32611, {_}: join ?13822 (join ?13823 ?13821) =<= join (join ?13822 ?13821) ?13823 [13821, 13823, 13822] by Demod 13196 with 32269 at 2
Id : 32612, {_}: join ?13822 (join ?13823 ?13821) =?= join ?13821 (join ?13823 ?13822) [13821, 13823, 13822] by Demod 32611 with 32269 at 3
Id : 32593, {_}: join ?53419 (join (join ?53419 ?53420) ?53418) =>= join (join ?53418 ?53419) ?53420 [53418, 53420, 53419] by Demod 28992 with 32269 at 2
Id : 32594, {_}: join ?53419 (join (join ?53419 ?53420) ?53418) =>= join ?53419 (join ?53420 ?53418) [53418, 53420, 53419] by Demod 32593 with 32269 at 3
Id : 32595, {_}: join ?53419 (join ?53420 (join ?53418 ?53419)) =>= join ?53419 (join ?53420 ?53418) [53418, 53420, 53419] by Demod 32594 with 32269 at 2,2
Id : 3172, {_}: join ?5841 (join ?5842 ?5843) =<= join ?5843 (join ?5841 (join ?5842 ?5843)) [5843, 5842, 5841] by Demod 3083 with 1691 at 3
Id : 32642, {_}: join ?53420 (join ?53418 ?53419) =?= join ?53419 (join ?53420 ?53418) [53419, 53418, 53420] by Demod 32595 with 3172 at 2
Id : 33043, {_}: join a (join b c) =?= join a (join b c) [] by Demod 33042 with 1691 at 2,2
Id : 33042, {_}: join a (join c b) =?= join a (join b c) [] by Demod 33041 with 32642 at 2
Id : 33041, {_}: join b (join a c) =>= join a (join b c) [] by Demod 33040 with 32612 at 2
Id : 33040, {_}: join c (join a b) =>= join a (join b c) [] by Demod 1 with 1691 at 2
Id :   1, {_}: join (join a b) c =>= join a (join b c) [] by prove_associativity_of_join
% SZS output end CNFRefutation for LAT007-1.p
9652: solved LAT007-1.p in 14.596912 using kbo
!! infer_left                                     203    0.0003    0.0000    0.0000
!! infer_right                                    118   55.4218    3.2814    0.4697
!! simplify_goal                                  203    0.0579    0.0016    0.0003
!! keep_simplified                                501    2.2669    0.3590    0.0045
!! simplification_step                            603    2.2650    0.3133    0.0038
!! simplify                                     22012   52.3472    0.3403    0.0024
!! orphan_murder                                  501    0.6142    0.3002    0.0012
!! is_subsumed                                  16973    4.5385    0.3004    0.0003
!! build_new_clause                             14594    3.4126    0.3082    0.0002
!! demodulate                                   21554   47.1885    0.3403    0.0022
!! demod                                       173155   44.9647    0.3364    0.0003
!! demod.apply_subst                           774336    7.0628    0.3041    0.0000
!! demod.compare_terms                         371671   19.7209    0.3321    0.0001
!! demod.retrieve_generalizations              173155    3.2162    0.3041    0.0000
!! demod.unify                                 755496    6.3850    0.3361    0.0000
!! build_clause                                 34450    3.8866    0.3133    0.0001
!! compare_terms(kbo)                          410252   19.6929    0.3321    0.0000
!! compare_terms(nrkbo)                             3    0.0001    0.0000    0.0000
9671: Facts:
9671:  Id :   2, {_}: join (complement ?2) ?2 =>= n1 [2] by top ?2
9671:  Id :   3, {_}: meet (complement ?4) ?4 =>= n0 [4] by bottom ?4
9671:  Id :   4, {_}: join ?6 (meet ?6 ?7) =>= ?6 [7, 6] by absorption2 ?6 ?7
9671:  Id :   5, {_}:
          meet ?9 ?10 =<->= meet ?10 ?9
          [10, 9] by commutativity_of_meet ?9 ?10
9671:  Id :   6, {_}:
          join ?12 ?13 =<->= join ?13 ?12
          [13, 12] by commutativity_of_join ?12 ?13
9671:  Id :   7, {_}:
          meet (meet ?15 ?16) ?17 =?= meet ?15 (meet ?16 ?17)
          [17, 16, 15] by associativity_of_meet ?15 ?16 ?17
9671:  Id :   8, {_}:
          join (join ?19 ?20) ?21 =?= join ?19 (join ?20 ?21)
          [21, 20, 19] by associativity_of_join ?19 ?20 ?21
9671:  Id :   9, {_}:
          complement (complement ?23) =>= ?23
          [23] by complement_involution ?23
9671:  Id :  10, {_}:
          join ?25 (join ?26 (complement ?26)) =>= join ?26 (complement ?26)
          [26, 25] by join_complement ?25 ?26
9671:  Id :  11, {_}:
          meet ?28 ?29 =<= complement (join (complement ?28) (complement ?29))
          [29, 28] by meet_complement ?28 ?29
9671: Goal:
9671:  Id :   1, {_}:
          join (complement (join (meet a (complement b)) (complement a)))
            (join (meet a (complement b))
              (join
                (meet (complement a) (meet (join a (complement b)) (join a b)))
                (meet (complement a)
                  (complement (meet (join a (complement b)) (join a b))))))
          =>=
          n1
          [] by prove_e1
% SZS status Timeout for LAT016-1.p
9698: Facts:
9698:  Id :   2, {_}: join (complement ?2) ?2 =>= n1 [2] by top ?2
9698:  Id :   3, {_}: meet (complement ?4) ?4 =>= n0 [4] by bottom ?4
9698:  Id :   4, {_}: join ?6 (meet ?6 ?7) =>= ?6 [7, 6] by absorption2 ?6 ?7
9698:  Id :   5, {_}:
          meet ?9 ?10 =<->= meet ?10 ?9
          [10, 9] by commutativity_of_meet ?9 ?10
9698:  Id :   6, {_}:
          join ?12 ?13 =<->= join ?13 ?12
          [13, 12] by commutativity_of_join ?12 ?13
9698:  Id :   7, {_}:
          meet (meet ?15 ?16) ?17 =?= meet ?15 (meet ?16 ?17)
          [17, 16, 15] by associativity_of_meet ?15 ?16 ?17
9698:  Id :   8, {_}:
          join (join ?19 ?20) ?21 =?= join ?19 (join ?20 ?21)
          [21, 20, 19] by associativity_of_join ?19 ?20 ?21
9698:  Id :   9, {_}:
          complement (complement ?23) =>= ?23
          [23] by complement_involution ?23
9698:  Id :  10, {_}:
          join ?25 (join ?26 (complement ?26)) =>= join ?26 (complement ?26)
          [26, 25] by join_complement ?25 ?26
9698:  Id :  11, {_}:
          meet ?28 ?29 =<= complement (join (complement ?28) (complement ?29))
          [29, 28] by meet_complement ?28 ?29
9698: Goal:
9698:  Id :   1, {_}:
          join a
            (join
              (meet (complement a) (meet (join a (complement b)) (join a b)))
              (meet (complement a)
                (join (meet (complement a) b)
                  (meet (complement a) (complement b)))))
          =>=
          n1
          [] by prove_e2
% SZS status Timeout for LAT017-1.p
9737: Facts:
9737:  Id :   2, {_}: join (complement ?2) ?2 =>= n1 [2] by top ?2
9737:  Id :   3, {_}: meet (complement ?4) ?4 =>= n0 [4] by bottom ?4
9737:  Id :   4, {_}: join ?6 (meet ?6 ?7) =>= ?6 [7, 6] by absorption2 ?6 ?7
9737:  Id :   5, {_}:
          meet ?9 ?10 =<->= meet ?10 ?9
          [10, 9] by commutativity_of_meet ?9 ?10
9737:  Id :   6, {_}:
          join ?12 ?13 =<->= join ?13 ?12
          [13, 12] by commutativity_of_join ?12 ?13
9737:  Id :   7, {_}:
          meet (meet ?15 ?16) ?17 =?= meet ?15 (meet ?16 ?17)
          [17, 16, 15] by associativity_of_meet ?15 ?16 ?17
9737:  Id :   8, {_}:
          join (join ?19 ?20) ?21 =?= join ?19 (join ?20 ?21)
          [21, 20, 19] by associativity_of_join ?19 ?20 ?21
9737:  Id :   9, {_}:
          complement (complement ?23) =>= ?23
          [23] by complement_involution ?23
9737:  Id :  10, {_}:
          join ?25 (join ?26 (complement ?26)) =>= join ?26 (complement ?26)
          [26, 25] by join_complement ?25 ?26
9737:  Id :  11, {_}:
          meet ?28 ?29 =<= complement (join (complement ?28) (complement ?29))
          [29, 28] by meet_complement ?28 ?29
9737: Goal:
9737:  Id :   1, {_}:
          join
            (complement
              (join
                (join (meet (complement a) b)
                  (meet (complement a) (complement b)))
                (meet a (join (complement a) b)))) (join (complement a) b)
          =>=
          n1
          [] by prove_e3
% SZS status Timeout for LAT018-1.p
9764: Facts:
9764:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
9764:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
9764:  Id :   4, {_}:
          meet ?6 ?7 =<->= meet ?7 ?6
          [7, 6] by commutativity_of_meet ?6 ?7
9764:  Id :   5, {_}:
          join ?9 ?10 =<->= join ?10 ?9
          [10, 9] by commutativity_of_join ?9 ?10
9764:  Id :   6, {_}:
          meet (meet ?12 ?13) ?14 =?= meet ?12 (meet ?13 ?14)
          [14, 13, 12] by associativity_of_meet ?12 ?13 ?14
9764:  Id :   7, {_}:
          join (join ?16 ?17) ?18 =?= join ?16 (join ?17 ?18)
          [18, 17, 16] by associativity_of_join ?16 ?17 ?18
9764:  Id :   8, {_}:
          join (meet ?20 (join ?21 ?22)) (meet ?20 ?21)
          =>=
          meet ?20 (join ?21 ?22)
          [22, 21, 20] by quasi_lattice1 ?20 ?21 ?22
9764:  Id :   9, {_}:
          meet (join ?24 (meet ?25 ?26)) (join ?24 ?25)
          =>=
          join ?24 (meet ?25 ?26)
          [26, 25, 24] by quasi_lattice2 ?24 ?25 ?26
9764:  Id :  10, {_}:
          join (meet (join (meet ?28 ?29) ?30) ?29) (meet ?30 ?28)
          =<=
          meet (join (meet (join ?28 ?29) ?30) ?29) (join ?30 ?28)
          [30, 29, 28] by self_dual_distributivity ?28 ?29 ?30
9764: Goal:
9764:  Id :   1, {_}:
          meet a (join b c) =<= join (meet a b) (meet a c)
          [] by prove_distributivity
% SZS status Timeout for LAT020-1.p
9802: Facts:
9802:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
9802:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
9802:  Id :   4, {_}:
          meet ?6 ?7 =<->= meet ?7 ?6
          [7, 6] by commutativity_of_meet ?6 ?7
9802:  Id :   5, {_}:
          join ?9 ?10 =<->= join ?10 ?9
          [10, 9] by commutativity_of_join ?9 ?10
9802:  Id :   6, {_}:
          meet (meet ?12 ?13) ?14 =?= meet ?12 (meet ?13 ?14)
          [14, 13, 12] by associativity_of_meet ?12 ?13 ?14
9802:  Id :   7, {_}:
          join (join ?16 ?17) ?18 =?= join ?16 (join ?17 ?18)
          [18, 17, 16] by associativity_of_join ?16 ?17 ?18
9802:  Id :   8, {_}:
          join (meet ?20 (join ?21 ?22)) (meet ?20 ?21)
          =>=
          meet ?20 (join ?21 ?22)
          [22, 21, 20] by quasi_lattice1 ?20 ?21 ?22
9802:  Id :   9, {_}:
          meet (join ?24 (meet ?25 ?26)) (join ?24 ?25)
          =>=
          join ?24 (meet ?25 ?26)
          [26, 25, 24] by quasi_lattice2 ?24 ?25 ?26
9802:  Id :  10, {_}: meet2 ?28 ?28 =>= ?28 [28] by idempotence_of_meet2 ?28
9802:  Id :  11, {_}:
          meet2 ?30 ?31 =<->= meet2 ?31 ?30
          [31, 30] by commutativity_of_meet2 ?30 ?31
9802:  Id :  12, {_}:
          meet2 (meet2 ?33 ?34) ?35 =?= meet2 ?33 (meet2 ?34 ?35)
          [35, 34, 33] by associativity_of_meet2 ?33 ?34 ?35
9802:  Id :  13, {_}:
          join (meet2 ?37 (join ?38 ?39)) (meet2 ?37 ?38)
          =>=
          meet2 ?37 (join ?38 ?39)
          [39, 38, 37] by quasi_lattice1_2 ?37 ?38 ?39
9802:  Id :  14, {_}:
          meet2 (join ?41 (meet2 ?42 ?43)) (join ?41 ?42)
          =>=
          join ?41 (meet2 ?42 ?43)
          [43, 42, 41] by quasi_lattice2_2 ?41 ?42 ?43
9802: Goal:
9802:  Id :   1, {_}: meet a b =<= meet2 a b [] by prove_meets_equal
% SZS status Timeout for LAT024-1.p
9894: Facts:
9894:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
9894:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
9894:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
9894:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
9894:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
9894:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
9894:  Id :   8, {_}:
          join ?18 (meet ?19 (meet ?18 ?20)) =>= ?18
          [20, 19, 18] by tnl_1 ?18 ?19 ?20
9894:  Id :   9, {_}:
          meet ?22 (join ?23 (join ?22 ?24)) =>= ?22
          [24, 23, 22] by tnl_2 ?22 ?23 ?24
9894:  Id :  10, {_}: meet2 ?26 ?26 =>= ?26 [26] by idempotence_of_meet2 ?26
9894:  Id :  11, {_}:
          meet2 ?28 (join ?28 ?29) =>= ?28
          [29, 28] by absorption1_2 ?28 ?29
9894:  Id :  12, {_}:
          join ?31 (meet2 ?31 ?32) =>= ?31
          [32, 31] by absorption2_2 ?31 ?32
9894:  Id :  13, {_}:
          meet2 ?34 ?35 =<->= meet2 ?35 ?34
          [35, 34] by commutativity_of_meet2 ?34 ?35
9894:  Id :  14, {_}:
          join ?37 (meet2 ?38 (meet2 ?37 ?39)) =>= ?37
          [39, 38, 37] by tnl_1_2 ?37 ?38 ?39
9894:  Id :  15, {_}:
          meet2 ?41 (join ?42 (join ?41 ?43)) =>= ?41
          [43, 42, 41] by tnl_2_2 ?41 ?42 ?43
9894: Goal:
9894:  Id :   1, {_}: meet a b =<= meet2 a b [] by prove_meets_equal
% SZS status Timeout for LAT025-1.p
9936: Facts:
9936:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
9936:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
9936:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
9936:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
9936:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
9936:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
9936:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
9936:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
9936:  Id :  10, {_}:
          complement (join ?26 ?27) =<= meet (complement ?26) (complement ?27)
          [27, 26] by compatibility1 ?26 ?27
9936:  Id :  11, {_}:
          complement (meet ?29 ?30) =<= join (complement ?29) (complement ?30)
          [30, 29] by compatibility2 ?29 ?30
9936:  Id :  12, {_}: join (complement ?32) ?32 =>= n1 [32] by invertability1 ?32
9936:  Id :  13, {_}: meet (complement ?34) ?34 =>= n0 [34] by invertability2 ?34
9936:  Id :  14, {_}: complement (complement ?36) =>= ?36 [36] by invertability3 ?36
9936:  Id :  15, {_}:
          join ?38 (meet ?39 (join ?38 ?40))
          =>=
          meet (join ?38 ?39) (join ?38 ?40)
          [40, 39, 38] by modular_law ?38 ?39 ?40
9936: Goal:
9936:  Id :   1, {_}:
          meet a (join b c) =<= join (meet a b) (meet a c)
          [] by prove_distributivity
% SZS status Timeout for LAT046-1.p
9983: Facts:
9983:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
9983:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
9983:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
9983:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
9983:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
9983:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
9983:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
9983:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
9983: Goal:
9983:  Id :   1, {_}:
          join a (meet b (join a c)) =>= meet (join a b) (join a c)
          [] by prove_modularity
% SZS status Timeout for LAT047-1.p
10021: Facts:
10021:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
10021:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
10021:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
10021:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
10021:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
10021:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
10021:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
10021:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
10021:  Id :  10, {_}:
          complement (join ?26 ?27) =<= meet (complement ?26) (complement ?27)
          [27, 26] by compatibility1 ?26 ?27
10021:  Id :  11, {_}:
          complement (meet ?29 ?30) =<= join (complement ?29) (complement ?30)
          [30, 29] by compatibility2 ?29 ?30
10021:  Id :  12, {_}: join (complement ?32) ?32 =>= n1 [32] by invertability1 ?32
10021:  Id :  13, {_}: meet (complement ?34) ?34 =>= n0 [34] by invertability2 ?34
10021:  Id :  14, {_}: complement (complement ?36) =>= ?36 [36] by invertability3 ?36
10021:  Id :  15, {_}:
          join (meet (complement ?38) (join ?38 ?39))
            (join (complement ?39) (meet ?38 ?39))
          =>=
          n1
          [39, 38] by weak_orthomodular_law ?38 ?39
10021: Goal:
10021:  Id :   1, {_}:
          join a (meet (complement a) (join a b)) =>= join a b
          [] by prove_orthomodular_law
% SZS status Timeout for LAT048-1.p
10048: Facts:
10048:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
10048:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
10048:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
10048:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
10048:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
10048:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
10048:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
10048:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
10048:  Id :  10, {_}:
          complement (join ?26 ?27) =<= meet (complement ?26) (complement ?27)
          [27, 26] by compatibility1 ?26 ?27
10048:  Id :  11, {_}:
          complement (meet ?29 ?30) =<= join (complement ?29) (complement ?30)
          [30, 29] by compatibility2 ?29 ?30
10048:  Id :  12, {_}: join (complement ?32) ?32 =>= n1 [32] by invertability1 ?32
10048:  Id :  13, {_}: meet (complement ?34) ?34 =>= n0 [34] by invertability2 ?34
10048:  Id :  14, {_}: complement (complement ?36) =>= ?36 [36] by invertability3 ?36
10048: Goal:
10048:  Id :   1, {_}:
          join (meet (complement a) (join a b))
            (join (complement b) (meet a b))
          =>=
          n1
          [] by prove_weak_orthomodular_law
% SZS status Timeout for LAT049-1.p
10087: Facts:
10087:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
10087:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
10087:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
10087:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
10087:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
10087:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
10087:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
10087:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
10087:  Id :  10, {_}:
          complement (join ?26 ?27) =<= meet (complement ?26) (complement ?27)
          [27, 26] by compatibility1 ?26 ?27
10087:  Id :  11, {_}:
          complement (meet ?29 ?30) =<= join (complement ?29) (complement ?30)
          [30, 29] by compatibility2 ?29 ?30
10087:  Id :  12, {_}: join (complement ?32) ?32 =>= n1 [32] by invertability1 ?32
10087:  Id :  13, {_}: meet (complement ?34) ?34 =>= n0 [34] by invertability2 ?34
10087:  Id :  14, {_}: complement (complement ?36) =>= ?36 [36] by invertability3 ?36
10087:  Id :  15, {_}:
          join ?38 (meet (complement ?38) (join ?38 ?39)) =>= join ?38 ?39
          [39, 38] by orthomodular_law ?38 ?39
10087: Goal:
10087:  Id :   1, {_}:
          join a (meet b (join a c)) =>= meet (join a b) (join a c)
          [] by prove_modular_law
% SZS status Timeout for LAT050-1.p
10116: Facts:
10116:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
10116:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
10116:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
10116:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
10116:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
10116:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
10116:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
10116:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
10116:  Id :  10, {_}: join (complement ?26) ?26 =>= n1 [26] by invertability1 ?26
10116:  Id :  11, {_}: meet (complement ?28) ?28 =>= n0 [28] by invertability2 ?28
10116:  Id :  12, {_}: complement (complement ?30) =>= ?30 [30] by invertability3 ?30
10116: Goal:
10116:  Id :   1, {_}:
          complement (join a b) =<= meet (complement a) (complement b)
          [] by prove_compatibility_law
% SZS status Timeout for LAT051-1.p
10155: Facts:
10155:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
10155:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
10155:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
10155:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
10155:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
10155:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
10155:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
10155:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
10155:  Id :  10, {_}: join (complement ?26) ?26 =>= n1 [26] by invertability1 ?26
10155:  Id :  11, {_}: meet (complement ?28) ?28 =>= n0 [28] by invertability2 ?28
10155:  Id :  12, {_}: complement (complement ?30) =>= ?30 [30] by invertability3 ?30
10155:  Id :  13, {_}:
          join ?32 (meet ?33 (join ?32 ?34))
          =>=
          meet (join ?32 ?33) (join ?32 ?34)
          [34, 33, 32] by modular_law ?32 ?33 ?34
10155: Goal:
10155:  Id :   1, {_}:
          complement (join a b) =<= meet (complement a) (complement b)
          [] by prove_compatibility_law
% SZS status Timeout for LAT052-1.p
10183: Facts:
10183:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
10183:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
10183:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
10183:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
10183:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
10183:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
10183:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
10183:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
10183:  Id :  10, {_}:
          complement (join ?26 ?27) =<= meet (complement ?26) (complement ?27)
          [27, 26] by compatibility1 ?26 ?27
10183:  Id :  11, {_}:
          complement (meet ?29 ?30) =<= join (complement ?29) (complement ?30)
          [30, 29] by compatibility2 ?29 ?30
10183:  Id :  12, {_}: join (complement ?32) ?32 =>= n1 [32] by invertability1 ?32
10183:  Id :  13, {_}: meet (complement ?34) ?34 =>= n0 [34] by invertability2 ?34
10183:  Id :  14, {_}: complement (complement ?36) =>= ?36 [36] by invertability3 ?36
10183:  Id :  15, {_}:
          join (meet (complement ?38) (join ?38 ?39))
            (join (complement ?39) (meet ?38 ?39))
          =>=
          n1
          [39, 38] by megill ?38 ?39
10183: Goal:
10183:  Id :   1, {_}:
          meet a (join b (meet a (join (complement a) (meet a b))))
          =>=
          meet a (join (complement a) (meet a b))
          [] by prove_this
% SZS status Timeout for LAT053-1.p
10221: Facts:
10221:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
10221:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
10221:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
10221:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
10221:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
10221:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
10221:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
10221:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
10221:  Id :  10, {_}:
          complement (join ?26 ?27) =<= meet (complement ?26) (complement ?27)
          [27, 26] by compatibility1 ?26 ?27
10221:  Id :  11, {_}:
          complement (meet ?29 ?30) =<= join (complement ?29) (complement ?30)
          [30, 29] by compatibility2 ?29 ?30
10221:  Id :  12, {_}: join (complement ?32) ?32 =>= n1 [32] by invertability1 ?32
10221:  Id :  13, {_}: meet (complement ?34) ?34 =>= n0 [34] by invertability2 ?34
10221:  Id :  14, {_}: complement (complement ?36) =>= ?36 [36] by invertability3 ?36
10221: Goal:
10221:  Id :   1, {_}:
          join a
            (meet (complement b)
              (join (complement a)
                (meet (complement b)
                  (join a (meet (complement b) (complement a))))))
          =<=
          join a
            (meet (complement b)
              (join (complement a)
                (meet (complement b)
                  (join a
                    (meet (complement b)
                      (join (complement a) (meet (complement b) a)))))))
          [] by prove_this
% SZS status Timeout for LAT054-1.p
10248: Facts:
10248:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
10248:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
10248:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
10248:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
10248:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
10248:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
10248:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
10248:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
10248:  Id :  10, {_}: join (complement ?26) ?26 =>= n1 [26] by top ?26
10248:  Id :  11, {_}: meet (complement ?28) ?28 =>= n0 [28] by bottom ?28
10248:  Id :  12, {_}:
          meet ?30 ?31 =<= complement (join (complement ?30) (complement ?31))
          [31, 30] by compatibility ?30 ?31
10248: Goal:
10248:  Id :   1, {_}:
          meet (join a (complement b))
            (join (join (meet a b) (meet (complement a) b))
              (meet (complement a) (complement b)))
          =>=
          join (meet a b) (meet (complement a) (complement b))
          [] by prove_e51
% SZS status Timeout for LAT062-1.p
11279: Facts:
11279:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
11279:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
11279:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
11279:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
11279:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
11279:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
11279:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
11279:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
11279:  Id :  10, {_}: join (complement ?26) ?26 =>= n1 [26] by top ?26
11279:  Id :  11, {_}: meet (complement ?28) ?28 =>= n0 [28] by bottom ?28
11279:  Id :  12, {_}:
          meet ?30 ?31 =<= complement (join (complement ?30) (complement ?31))
          [31, 30] by compatibility ?30 ?31
11279: Goal:
11279:  Id :   1, {_}:
          meet a (join b (meet a (join (complement a) (meet a b))))
          =>=
          meet a (join (complement a) (meet a b))
          [] by prove_e62
% SZS status Timeout for LAT063-1.p
11380: Facts:
11380:  Id :   2, {_}:
          f (f (f (f ?2 ?3) (f ?3 ?4)) ?5)
            (f ?3 (f (f ?3 (f (f ?2 ?2) ?2)) ?4))
          =>=
          ?3
          [5, 4, 3, 2] by ol_23A ?2 ?3 ?4 ?5
11380: Goal:
11380:  Id :   1, {_}:
          f a (f (f b c) (f b c)) =<= f c (f (f b a) (f b a))
          [] by associativity
% SZS status Timeout for LAT070-1.p
11418: Facts:
11418:  Id :   2, {_}:
          f (f ?2 ?3) (f (f (f (f ?2 ?3) ?3) (f ?4 ?3)) (f (f ?3 ?3) ?5))
          =>=
          ?3
          [5, 4, 3, 2] by oml_21C ?2 ?3 ?4 ?5
11418: Goal:
11418:  Id :   1, {_}:
          f a (f (f b c) (f b c)) =<= f c (f (f b a) (f b a))
          [] by associativity
% SZS status Timeout for LAT071-1.p
11454: Facts:
11454:  Id :   2, {_}:
          f (f (f (f ?2 ?3) (f ?3 ?4)) ?5)
            (f ?3 (f (f ?4 (f (f ?3 ?3) ?4)) ?4))
          =>=
          ?3
          [5, 4, 3, 2] by oml_23A ?2 ?3 ?4 ?5
11454: Goal:
11454:  Id :   1, {_}:
          f a (f (f b c) (f b c)) =<= f c (f (f b a) (f b a))
          [] by associativity
% SZS status Timeout for LAT072-1.p
11493: Facts:
11493:  Id :   2, {_}:
          f (f (f ?2 (f ?3 ?2)) ?2)
            (f ?3 (f ?4 (f (f ?3 ?2) (f (f ?4 ?4) ?5))))
          =>=
          ?3
          [5, 4, 3, 2] by mol_23C ?2 ?3 ?4 ?5
11493: Goal:
11493:  Id :   1, {_}:
          f a (f b (f a (f c c))) =<= f a (f c (f a (f b b)))
          [] by modularity
% SZS status Timeout for LAT073-1.p
11520: Facts:
11520:  Id :   2, {_}:
          f (f ?2 ?3)
            (f (f (f ?3 ?3) ?4) (f (f (f (f (f ?3 ?2) ?4) ?4) ?3) (f ?3 ?5)))
          =>=
          ?3
          [5, 4, 3, 2] by mol_25A ?2 ?3 ?4 ?5
11520: Goal:
11520:  Id :   1, {_}:
          f a (f (f b c) (f b c)) =<= f c (f (f b a) (f b a))
          [] by associativity
% SZS status Timeout for LAT074-1.p
11560: Facts:
11560:  Id :   2, {_}:
          f (f ?2 ?3)
            (f (f (f ?3 ?3) ?4) (f (f (f (f (f ?3 ?2) ?4) ?4) ?3) (f ?3 ?5)))
          =>=
          ?3
          [5, 4, 3, 2] by mol_25A ?2 ?3 ?4 ?5
11560: Goal:
11560:  Id :   1, {_}:
          f a (f b (f a (f c c))) =<= f a (f c (f a (f b b)))
          [] by modularity
% SZS status Timeout for LAT075-1.p
11587: Facts:
11587:  Id :   2, {_}:
          f (f (f (f ?2 ?3) (f ?4 ?3)) ?5)
            (f ?3 (f (f (f (f (f (f ?2 ?2) ?3) ?4) ?4) ?3) ?2))
          =>=
          ?3
          [5, 4, 3, 2] by mol_27B1 ?2 ?3 ?4 ?5
11587: Goal:
11587:  Id :   1, {_}:
          f a (f (f b c) (f b c)) =<= f c (f (f b a) (f b a))
          [] by associativity
% SZS status Timeout for LAT076-1.p
11625: Facts:
11625:  Id :   2, {_}:
          f (f (f (f ?2 ?3) (f ?4 ?3)) ?5)
            (f ?3 (f (f (f (f (f (f ?2 ?2) ?3) ?4) ?4) ?3) ?2))
          =>=
          ?3
          [5, 4, 3, 2] by mol_27B1 ?2 ?3 ?4 ?5
11625: Goal:
11625:  Id :   1, {_}:
          f a (f b (f a (f c c))) =<= f a (f c (f a (f b b)))
          [] by modularity
% SZS status Timeout for LAT077-1.p
11656: Facts:
11656:  Id :   2, {_}:
          f (f (f (f ?2 ?3) (f ?3 ?4)) ?5)
            (f ?3 (f (f (f ?2 (f ?2 (f (f ?4 ?4) ?3))) ?3) ?4))
          =>=
          ?3
          [5, 4, 3, 2] by mol_27B2 ?2 ?3 ?4 ?5
11656: Goal:
11656:  Id :   1, {_}:
          f a (f (f b c) (f b c)) =<= f c (f (f b a) (f b a))
          [] by associativity
% SZS status Timeout for LAT078-1.p
11707: Facts:
11707:  Id :   2, {_}:
          f (f (f (f ?2 ?3) (f ?3 ?4)) ?5)
            (f ?3 (f (f (f ?2 (f ?2 (f (f ?4 ?4) ?3))) ?3) ?4))
          =>=
          ?3
          [5, 4, 3, 2] by mol_27B2 ?2 ?3 ?4 ?5
11707: Goal:
11707:  Id :   1, {_}:
          f a (f b (f a (f c c))) =<= f a (f c (f a (f b b)))
          [] by modularity
% SZS status Timeout for LAT079-1.p
11789: Facts:
11789:  Id :   2, {_}:
          join (meet (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4)
            (meet
              (join (meet ?2 (join (join (meet ?5 ?3) (meet ?3 ?6)) ?3))
                (meet
                  (join
                    (meet ?3
                      (meet (meet (join ?5 (join ?3 ?6)) (join ?7 ?3)) ?3))
                    (meet ?8
                      (join ?3
                        (meet (meet (join ?5 (join ?3 ?6)) (join ?7 ?3)) ?3))))
                  (join ?2 (join (join (meet ?5 ?3) (meet ?3 ?6)) ?3))))
              (join (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4))
          =>=
          ?3
          [8, 7, 6, 5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5 ?6 ?7 ?8
11789: Goal:
11789:  Id :   1, {_}: meet a a =>= a [] by prove_normal_axioms_1
Statistics :
Max weight : 3122
Found proof, 80.600970s
% SZS status Unsatisfiable for LAT080-1.p
% SZS output start CNFRefutation for LAT080-1.p
Id :   2, {_}: join (meet (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4) (meet (join (meet ?2 (join (join (meet ?5 ?3) (meet ?3 ?6)) ?3)) (meet (join (meet ?3 (meet (meet (join ?5 (join ?3 ?6)) (join ?7 ?3)) ?3)) (meet ?8 (join ?3 (meet (meet (join ?5 (join ?3 ?6)) (join ?7 ?3)) ?3)))) (join ?2 (join (join (meet ?5 ?3) (meet ?3 ?6)) ?3)))) (join (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4)) =>= ?3 [8, 7, 6, 5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5 ?6 ?7 ?8
Id :   3, {_}: join (meet (join (meet ?10 ?11) (meet ?11 (join ?10 ?11))) ?12) (meet (join (meet ?10 (join (join (meet ?13 ?11) (meet ?11 ?14)) ?11)) (meet (join (meet ?11 (meet (meet (join ?13 (join ?11 ?14)) (join ?15 ?11)) ?11)) (meet ?16 (join ?11 (meet (meet (join ?13 (join ?11 ?14)) (join ?15 ?11)) ?11)))) (join ?10 (join (join (meet ?13 ?11) (meet ?11 ?14)) ?11)))) (join (join (meet ?10 ?11) (meet ?11 (join ?10 ?11))) ?12)) =>= ?11 [16, 15, 14, 13, 12, 11, 10] by single_axiom ?10 ?11 ?12 ?13 ?14 ?15 ?16
Id :  11, {_}: join (meet (join (meet ?106 (join (meet ?107 ?108) (meet ?108 (join ?107 ?108)))) (meet (join (meet ?107 ?108) (meet ?108 (join ?107 ?108))) (join ?106 (join (meet ?107 ?108) (meet ?108 (join ?107 ?108)))))) ?109) (meet (join (meet ?106 (join (join (meet ?110 (join (meet ?107 ?108) (meet ?108 (join ?107 ?108)))) (meet (join (meet ?107 ?108) (meet ?108 (join ?107 ?108))) ?111)) (join (meet ?107 ?108) (meet ?108 (join ?107 ?108))))) (meet ?108 (join ?106 (join (join (meet ?110 (join (meet ?107 ?108) (meet ?108 (join ?107 ?108)))) (meet (join (meet ?107 ?108) (meet ?108 (join ?107 ?108))) ?111)) (join (meet ?107 ?108) (meet ?108 (join ?107 ?108))))))) (join (join (meet ?106 (join (meet ?107 ?108) (meet ?108 (join ?107 ?108)))) (meet (join (meet ?107 ?108) (meet ?108 (join ?107 ?108))) (join ?106 (join (meet ?107 ?108) (meet ?108 (join ?107 ?108)))))) ?109)) =>= join (meet ?107 ?108) (meet ?108 (join ?107 ?108)) [111, 110, 109, 108, 107, 106] by Super 3 with 2 at 1,2,1,2,2
Id :  37, {_}: join (meet (join (meet ?273 (join (meet ?274 ?275) (meet ?275 (join ?274 ?275)))) (meet (join (meet ?274 ?275) (meet ?275 (join ?274 ?275))) (join ?273 (join (meet ?274 ?275) (meet ?275 (join ?274 ?275)))))) ?276) (meet (join (meet ?273 (join (join (meet ?277 (join (meet ?274 ?275) (meet ?275 (join ?274 ?275)))) (meet (join (meet ?274 ?275) (meet ?275 (join ?274 ?275))) ?278)) (join (meet ?274 ?275) (meet ?275 (join ?274 ?275))))) (meet ?275 (join ?273 (join (join (meet ?277 (join (meet ?274 ?275) (meet ?275 (join ?274 ?275)))) (meet (join (meet ?274 ?275) (meet ?275 (join ?274 ?275))) ?278)) (join (meet ?274 ?275) (meet ?275 (join ?274 ?275))))))) (join (join (meet ?273 (join (meet ?274 ?275) (meet ?275 (join ?274 ?275)))) (meet (join (meet ?274 ?275) (meet ?275 (join ?274 ?275))) (join ?273 (join (meet ?274 ?275) (meet ?275 (join ?274 ?275)))))) ?276)) =>= join (meet ?274 ?275) (meet ?275 (join ?274 ?275)) [278, 277, 276, 275, 274, 273] by Super 3 with 2 at 1,2,1,2,2
Id :  40, {_}: join (meet (join (meet ?303 (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))))) (meet (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))))) (join ?303 (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))))))) ?310) (meet (join (meet ?303 (join (join (meet ?311 (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))))) (meet (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))))) ?312)) (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join ?303 (join 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?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))))) (meet (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))))) ?312)) (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join 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(meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))))) (meet (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet 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Id : 125, {_}: join (meet (join (meet ?303 ?305) (meet ?305 (join ?303 (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) 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(join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))) [312, 311, 310, 309, 308, 307, 306, 304, 305, 303] by Demod 124 with 2 at 1,2,1,1,2
Id : 126, {_}: join (meet (join (meet ?303 ?305) (meet ?305 (join ?303 ?305))) ?310) (meet (join (meet ?303 (join (join (meet ?311 (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet 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(meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))))) (join ?303 ?305))) ?310)) =>= join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))) [312, 309, 308, 307, 306, 304, 311, 310, 305, 303] by Demod 125 with 2 at 2,2,2,1,1,2
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(meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))) [312, 309, 308, 307, 306, 304, 311, 310, 305, 303] by Demod 126 with 2 at 2,1,1,2,1,1,2,2
Id : 128, {_}: join (meet (join (meet ?303 ?305) (meet ?305 (join ?303 ?305))) ?310) (meet (join (meet ?303 (join (join (meet ?311 ?305) (meet ?305 ?312)) (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet 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Id : 129, {_}: join (meet (join (meet ?303 ?305) (meet ?305 (join ?303 ?305))) ?310) (meet (join (meet ?303 (join (join (meet ?311 ?305) (meet ?305 ?312)) ?305)) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join ?303 (join (join (meet ?311 (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet 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?305))))))) (join ?303 ?305))) ?310)) =>= join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))) [309, 308, 307, 306, 304, 312, 311, 310, 305, 303] by Demod 128 with 2 at 2,2,1,1,2,2
Id : 130, {_}: join (meet (join (meet ?303 ?305) (meet ?305 (join ?303 ?305))) ?310) (meet (join (meet ?303 (join (join (meet ?311 ?305) (meet ?305 ?312)) ?305)) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join ?303 (join (join (meet ?311 ?305) (meet (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet 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?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))) [309, 308, 307, 306, 304, 312, 311, 310, 305, 303] by Demod 129 with 2 at 2,1,1,2,2,2,1,2,2
Id : 131, {_}: join (meet (join (meet ?303 ?305) (meet ?305 (join ?303 ?305))) ?310) (meet (join (meet ?303 (join (join (meet ?311 ?305) (meet ?305 ?312)) ?305)) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join ?303 (join (join (meet ?311 ?305) (meet ?305 ?312)) (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) 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?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))) [309, 308, 307, 306, 304, 312, 311, 310, 305, 303] by Demod 130 with 2 at 1,2,1,2,2,2,1,2,2
Id : 132, {_}: join (meet (join (meet ?303 ?305) (meet ?305 (join ?303 ?305))) ?310) (meet (join (meet ?303 (join (join (meet ?311 ?305) (meet ?305 ?312)) ?305)) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join ?303 (join (join (meet ?311 ?305) (meet ?305 ?312)) ?305)))) (join (join (meet ?303 (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))))) (meet (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))))) (join ?303 ?305))) ?310)) =>= join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))) [309, 308, 307, 306, 304, 312, 311, 310, 305, 303] by Demod 131 with 2 at 2,2,2,2,1,2,2
Id : 133, {_}: join (meet (join (meet ?303 ?305) (meet ?305 (join ?303 ?305))) ?310) (meet (join (meet ?303 (join (join (meet ?311 ?305) (meet ?305 ?312)) ?305)) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join ?303 (join (join (meet ?311 ?305) (meet ?305 ?312)) ?305)))) (join (join (meet ?303 ?305) (meet (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))))) (join ?303 ?305))) ?310)) =>= join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))) [309, 308, 307, 306, 304, 312, 311, 310, 305, 303] by Demod 132 with 2 at 2,1,1,2,2,2
Id : 134, {_}: join (meet (join (meet ?303 ?305) (meet ?305 (join ?303 ?305))) ?310) (meet (join (meet ?303 (join (join (meet ?311 ?305) (meet ?305 ?312)) ?305)) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join ?303 (join (join (meet ?311 ?305) (meet ?305 ?312)) ?305)))) (join (join (meet ?303 ?305) (meet ?305 (join ?303 ?305))) ?310)) =?= join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))) [309, 308, 307, 306, 304, 312, 311, 310, 305, 303] by Demod 133 with 2 at 1,2,1,2,2,2
Id : 712, {_}: join (meet (join (meet ?1349 ?1350) (meet ?1350 (join ?1349 ?1350))) ?1351) (meet (join (meet ?1349 (join (join (meet ?1352 ?1350) (meet ?1350 ?1353)) ?1350)) (meet (join (meet ?1354 (join (join (meet ?1355 ?1350) (meet ?1350 ?1356)) ?1350)) (meet (join (meet ?1350 (meet (meet (join ?1355 (join ?1350 ?1356)) (join ?1357 ?1350)) ?1350)) (meet ?1358 (join ?1350 (meet (meet (join ?1355 (join ?1350 ?1356)) (join ?1357 ?1350)) ?1350)))) (join ?1354 (join (join (meet ?1355 ?1350) (meet ?1350 ?1356)) ?1350)))) (join ?1349 (join (join (meet ?1352 ?1350) (meet ?1350 ?1353)) ?1350)))) (join (join (meet ?1349 ?1350) (meet ?1350 (join ?1349 ?1350))) ?1351)) =>= ?1350 [1358, 1357, 1356, 1355, 1354, 1353, 1352, 1351, 1350, 1349] by Demod 134 with 2 at 3
Id : 746, {_}: join (meet (join (meet (join (meet ?1864 ?1865) (meet ?1865 (join ?1864 ?1865))) ?1865) (meet ?1865 (join (join (meet ?1864 ?1865) (meet ?1865 (join ?1864 ?1865))) ?1865))) ?1866) (meet ?1865 (join (join (meet (join (meet ?1864 ?1865) (meet ?1865 (join ?1864 ?1865))) ?1865) (meet ?1865 (join (join (meet ?1864 ?1865) (meet ?1865 (join ?1864 ?1865))) ?1865))) ?1866)) =>= ?1865 [1866, 1865, 1864] by Super 712 with 2 at 1,2,2
Id : 1090, {_}: join (meet (join (meet ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))) (meet ?1977 (join ?1975 (join (join (meet ?1979 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))))) (join (join (meet ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 ?1977))) ?1978)) =>= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1980, 1979, 1978, 1977, 1976, 1975] by Super 11 with 746 at 2,2,2,1,2,2,2
Id : 1216, {_}: join (meet (join (meet ?1975 ?1977) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))) (meet ?1977 (join ?1975 (join (join (meet ?1979 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))))) (join (join (meet ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 ?1977))) ?1978)) =>= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1980, 1979, 1978, 1976, 1977, 1975] by Demod 1090 with 746 at 2,1,1,1,2
Id : 1217, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))) (meet ?1977 (join ?1975 (join (join (meet ?1979 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))))) (join (join (meet ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 ?1977))) ?1978)) =>= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1980, 1979, 1978, 1976, 1977, 1975] by Demod 1216 with 746 at 1,2,1,1,2
Id : 1218, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))) (meet ?1977 (join ?1975 (join (join (meet ?1979 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))))) (join (join (meet ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 ?1977))) ?1978)) =>= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1980, 1976, 1979, 1978, 1977, 1975] by Demod 1217 with 746 at 2,2,2,1,1,2
Id : 1219, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 ?1977) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))) (meet ?1977 (join ?1975 (join (join (meet ?1979 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))))) (join (join (meet ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 ?1977))) ?1978)) =>= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1980, 1976, 1979, 1978, 1977, 1975] by Demod 1218 with 746 at 2,1,1,2,1,1,2,2
Id : 1220, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))) (meet ?1977 (join ?1975 (join (join (meet ?1979 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))))) (join (join (meet ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 ?1977))) ?1978)) =>= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1976, 1980, 1979, 1978, 1977, 1975] by Demod 1219 with 746 at 1,2,1,2,1,1,2,2
Id : 1221, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) ?1977)) (meet ?1977 (join ?1975 (join (join (meet ?1979 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))))) (join (join (meet ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 ?1977))) ?1978)) =>= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1976, 1980, 1979, 1978, 1977, 1975] by Demod 1220 with 746 at 2,2,1,1,2,2
Id : 1222, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) ?1977)) (meet ?1977 (join ?1975 (join (join (meet ?1979 ?1977) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))))) (join (join (meet ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 ?1977))) ?1978)) =>= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1976, 1980, 1979, 1978, 1977, 1975] by Demod 1221 with 746 at 2,1,1,2,2,2,1,2,2
Id : 1223, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) ?1977)) (meet ?1977 (join ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))))) (join (join (meet ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 ?1977))) ?1978)) =>= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1976, 1980, 1979, 1978, 1977, 1975] by Demod 1222 with 746 at 1,2,1,2,2,2,1,2,2
Id : 1224, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) ?1977)) (meet ?1977 (join ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) ?1977)))) (join (join (meet ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 ?1977))) ?1978)) =>= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1976, 1980, 1979, 1978, 1977, 1975] by Demod 1223 with 746 at 2,2,2,2,1,2,2
Id : 1225, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) ?1977)) (meet ?1977 (join ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) ?1977)))) (join (join (meet ?1975 ?1977) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 ?1977))) ?1978)) =>= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1976, 1980, 1979, 1978, 1977, 1975] by Demod 1224 with 746 at 2,1,1,2,2,2
Id : 1226, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) ?1977)) (meet ?1977 (join ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) ?1977)))) (join (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978)) =?= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1976, 1980, 1979, 1978, 1977, 1975] by Demod 1225 with 746 at 1,2,1,2,2,2
Id : 1227, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) ?1977)) (meet ?1977 (join ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) ?1977)))) (join (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978)) =>= ?1977 [1980, 1979, 1978, 1977, 1975] by Demod 1226 with 746 at 3
Id : 2529, {_}: join (meet (join (meet ?4347 ?4348) (meet ?4348 (join ?4347 ?4348))) ?4349) (meet (join (meet ?4347 (join (join (meet ?4350 ?4348) (meet ?4348 ?4351)) ?4348)) (meet ?4348 (join ?4347 (join (join (meet ?4350 ?4348) (meet ?4348 ?4351)) ?4348)))) (join (join (meet ?4347 ?4348) (meet ?4348 (join ?4347 ?4348))) ?4349)) =>= ?4348 [4351, 4350, 4349, 4348, 4347] by Demod 1226 with 746 at 3
Id : 2542, {_}: join (meet (join (meet (join (meet ?4460 ?4461) (meet ?4461 (join ?4460 ?4461))) (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461))))) (meet (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)))) (join (join (meet ?4460 ?4461) (meet ?4461 (join ?4460 ?4461))) (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461))))))) ?4464) (meet (join (meet (join (meet ?4460 ?4461) (meet ?4461 (join ?4460 ?4461))) (join (join (meet ?4465 (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461))))) (meet (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)))) ?4466)) (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)))))) (meet (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)))) (join (join (meet ?4460 ?4461) (meet ?4461 (join ?4460 ?4461))) (join (join (meet ?4465 (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461))))) (meet (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)))) ?4466)) (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)))))))) (join ?4461 ?4464)) =>= join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461))) [4466, 4465, 4464, 4463, 4462, 4461, 4460] by Super 2529 with 1227 at 1,2,2,2
Id : 2936, {_}: join (meet ?4461 ?4464) (meet (join (meet (join (meet ?4460 ?4461) (meet ?4461 (join ?4460 ?4461))) (join (join (meet ?4465 (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461))))) (meet (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)))) ?4466)) (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)))))) (meet (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)))) (join (join (meet ?4460 ?4461) (meet ?4461 (join ?4460 ?4461))) (join (join (meet ?4465 (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461))))) (meet (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)))) ?4466)) (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)))))))) (join ?4461 ?4464)) =>= join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461))) [4466, 4463, 4462, 4465, 4460, 4464, 4461] by Demod 2542 with 1227 at 1,1,2
Id : 2937, {_}: join (meet ?4461 ?4464) (meet ?4461 (join ?4461 ?4464)) =?= join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461))) [4463, 4462, 4460, 4464, 4461] by Demod 2936 with 1227 at 1,2,2
Id : 1145, {_}: join (meet (join (meet (join (meet ?2440 ?2441) (meet ?2441 (join ?2440 ?2441))) ?2441) (meet ?2441 (join (join (meet ?2440 ?2441) (meet ?2441 (join ?2440 ?2441))) ?2441))) ?2442) (meet ?2441 (join (join (meet (join (meet ?2440 ?2441) (meet ?2441 (join ?2440 ?2441))) ?2441) (meet ?2441 (join (join (meet ?2440 ?2441) (meet ?2441 (join ?2440 ?2441))) ?2441))) ?2442)) =>= ?2441 [2442, 2441, 2440] by Super 712 with 2 at 1,2,2
Id : 1162, {_}: join (meet (join (meet (join (meet (join (meet ?2572 ?2573) (meet ?2573 (join ?2572 ?2573))) ?2573) (meet ?2573 (join (join (meet ?2572 ?2573) (meet ?2573 (join ?2572 ?2573))) ?2573))) ?2573) (meet ?2573 (join (join (meet (join (meet ?2572 ?2573) (meet ?2573 (join ?2572 ?2573))) ?2573) (meet ?2573 (join (join (meet ?2572 ?2573) (meet ?2573 (join ?2572 ?2573))) ?2573))) ?2573))) ?2574) (meet ?2573 (join ?2573 ?2574)) =>= ?2573 [2574, 2573, 2572] by Super 1145 with 746 at 1,2,2,2
Id : 1542, {_}: join (meet ?2573 ?2574) (meet ?2573 (join ?2573 ?2574)) =>= ?2573 [2574, 2573] by Demod 1162 with 746 at 1,1,2
Id : 2938, {_}: ?4461 =<= join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461))) [4463, 4462, 4460, 4461] by Demod 2937 with 1542 at 2
Id : 2996, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978) (meet ?1977 (join (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978)) =>= ?1977 [1978, 1977, 1975] by Demod 1227 with 2938 at 1,2,2
Id : 3021, {_}: join (meet ?4917 (join (join (meet ?4918 ?4919) (meet ?4919 ?4920)) ?4919)) (meet (join (meet ?4919 (meet (meet (join ?4918 (join ?4919 ?4920)) (join ?4921 ?4919)) ?4919)) (meet ?4922 (join ?4919 (meet (meet (join ?4918 (join ?4919 ?4920)) (join ?4921 ?4919)) ?4919)))) (join ?4917 (join (join (meet ?4918 ?4919) (meet ?4919 ?4920)) ?4919))) =>= ?4919 [4922, 4921, 4920, 4919, 4918, 4917] by Super 2 with 2938 at 2
Id : 3908, {_}: ?5996 =<= join (meet ?5996 (meet (meet (join ?5997 (join ?5996 ?5998)) (join ?5999 ?5996)) ?5996)) (meet ?6000 (join ?5996 (meet (meet (join ?5997 (join ?5996 ?5998)) (join ?5999 ?5996)) ?5996))) [6000, 5999, 5998, 5997, 5996] by Super 2996 with 3021 at 2
Id : 4215, {_}: join (meet ?6881 ?6882) (meet ?6882 (join ?6881 ?6882)) =>= ?6882 [6882, 6881] by Super 2996 with 3908 at 2
Id : 4640, {_}: ?7259 =<= meet (meet (join ?7260 (join ?7259 ?7261)) (join ?7262 ?7259)) ?7259 [7262, 7261, 7260, 7259] by Super 3908 with 4215 at 3
Id : 4676, {_}: ?5996 =<= join (meet ?5996 ?5996) (meet ?6000 (join ?5996 (meet (meet (join ?5997 (join ?5996 ?5998)) (join ?5999 ?5996)) ?5996))) [5999, 5998, 5997, 6000, 5996] by Demod 3908 with 4640 at 2,1,3
Id : 4677, {_}: ?5996 =<= join (meet ?5996 ?5996) (meet ?6000 (join ?5996 ?5996)) [6000, 5996] by Demod 4676 with 4640 at 2,2,2,3
Id : 4678, {_}: ?7310 =<= join (meet ?7310 ?7310) (join ?7310 ?7310) [7310] by Super 4677 with 4640 at 2,3
Id : 4849, {_}: ?7745 =<= meet (meet ?7745 (join ?7746 ?7745)) ?7745 [7746, 7745] by Super 4640 with 4678 at 1,1,3
Id : 4859, {_}: join ?7779 ?7779 =<= meet (meet (join ?7779 ?7779) ?7779) (join ?7779 ?7779) [7779] by Super 4849 with 4678 at 2,1,3
Id : 4805, {_}: ?7615 =<= meet (meet ?7615 (join ?7616 ?7615)) ?7615 [7616, 7615] by Super 4640 with 4678 at 1,1,3
Id : 4817, {_}: join ?7624 (meet ?7624 (join (meet ?7624 (join ?7625 ?7624)) ?7624)) =>= ?7624 [7625, 7624] by Super 4215 with 4805 at 1,2
Id : 5276, {_}: ?8252 =<= meet (meet (join ?8253 ?8252) (join ?8254 ?8252)) ?8252 [8254, 8253, 8252] by Super 4640 with 4817 at 2,1,1,3
Id : 5515, {_}: join ?8563 ?8563 =<= meet (meet (join ?8564 (join ?8563 ?8563)) ?8563) (join ?8563 ?8563) [8564, 8563] by Super 5276 with 4678 at 2,1,3
Id : 5517, {_}: join ?8569 ?8569 =<= meet (meet ?8569 ?8569) (join ?8569 ?8569) [8569] by Super 5515 with 4678 at 1,1,3
Id : 5583, {_}: join (join ?8575 ?8575) (meet (join ?8575 ?8575) (join (meet ?8575 ?8575) (join ?8575 ?8575))) =>= join ?8575 ?8575 [8575] by Super 4215 with 5517 at 1,2
Id : 5700, {_}: join (join ?8575 ?8575) (meet (join ?8575 ?8575) ?8575) =>= join ?8575 ?8575 [8575] by Demod 5583 with 4678 at 2,2,2
Id : 5728, {_}: join (meet (join ?8697 ?8697) (meet (join ?8697 ?8697) ?8697)) (meet (meet (join ?8697 ?8697) ?8697) (join ?8697 ?8697)) =>= meet (join ?8697 ?8697) ?8697 [8697] by Super 4215 with 5700 at 2,2,2
Id : 4856, {_}: meet ?7768 (join ?7769 ?7768) =<= meet (meet (meet ?7768 (join ?7769 ?7768)) ?7768) (meet ?7768 (join ?7769 ?7768)) [7769, 7768] by Super 4849 with 4215 at 2,1,3
Id : 4947, {_}: meet ?7857 (join ?7858 ?7857) =<= meet ?7857 (meet ?7857 (join ?7858 ?7857)) [7858, 7857] by Demod 4856 with 4805 at 1,3
Id : 4957, {_}: meet (join ?7891 ?7891) (join (meet ?7891 ?7891) (join ?7891 ?7891)) =>= meet (join ?7891 ?7891) (meet (join ?7891 ?7891) ?7891) [7891] by Super 4947 with 4678 at 2,2,3
Id : 5024, {_}: meet (join ?7891 ?7891) ?7891 =<= meet (join ?7891 ?7891) (meet (join ?7891 ?7891) ?7891) [7891] by Demod 4957 with 4678 at 2,2
Id : 5763, {_}: join (meet (join ?8697 ?8697) ?8697) (meet (meet (join ?8697 ?8697) ?8697) (join ?8697 ?8697)) =>= meet (join ?8697 ?8697) ?8697 [8697] by Demod 5728 with 5024 at 1,2
Id : 5764, {_}: join (meet (join ?8697 ?8697) ?8697) (join ?8697 ?8697) =>= meet (join ?8697 ?8697) ?8697 [8697] by Demod 5763 with 4859 at 2,2
Id : 6078, {_}: ?9071 =<= meet (meet (meet (join ?9071 ?9071) ?9071) (join ?9072 ?9071)) ?9071 [9072, 9071] by Super 4640 with 5764 at 1,1,3
Id : 6094, {_}: ?9119 =<= meet (join ?9119 ?9119) ?9119 [9119] by Super 6078 with 4859 at 1,3
Id : 6176, {_}: join ?7779 ?7779 =<= meet ?7779 (join ?7779 ?7779) [7779] by Demod 4859 with 6094 at 1,3
Id : 4626, {_}: ?7201 =<= join (meet ?7202 (join (join (meet ?7203 ?7201) (meet ?7201 (join ?7203 ?7201))) ?7201)) (meet ?7201 (join ?7202 (join ?7201 ?7201))) [7203, 7202, 7201] by Super 2938 with 4215 at 1,2,2,2,3
Id : 4674, {_}: ?7201 =<= join (meet ?7202 (join ?7201 ?7201)) (meet ?7201 (join ?7202 (join ?7201 ?7201))) [7202, 7201] by Demod 4626 with 4215 at 1,2,1,3
Id : 6362, {_}: join ?9266 ?9266 =>= ?9266 [9266] by Super 4677 with 4674 at 3
Id : 6434, {_}: ?7779 =<= meet ?7779 (join ?7779 ?7779) [7779] by Demod 6176 with 6362 at 2
Id : 6435, {_}: ?7779 =<= meet ?7779 ?7779 [7779] by Demod 6434 with 6362 at 2,3
Id : 6629, {_}: a === a [] by Demod 1 with 6435 at 2
Id :   1, {_}: meet a a =>= a [] by prove_normal_axioms_1
% SZS output end CNFRefutation for LAT080-1.p
11792: solved LAT080-1.p in 19.2052 using nrkbo
!! infer_left                                      35    0.0001    0.0000    0.0000
!! infer_right                                     36   79.0430   21.2542    2.1956
!! simplify_goal                                   36    0.0010    0.0002    0.0000
!! keep_simplified                                 62    0.0999    0.0115    0.0016
!! simplification_step                             87    0.0995    0.0053    0.0011
!! simplify                                      2189   70.7493    0.7924    0.0323
!! orphan_murder                                   90    0.0022    0.0002    0.0000
!! is_subsumed                                   2007    2.1665    0.4007    0.0011
!! build_new_clause                              1446    7.1748    0.4067    0.0050
!! demodulate                                    2173   68.5745    0.7879    0.0316
!! demod                                       496725   34.9789    0.4124    0.0001
!! demod.apply_subst                            10290    0.5165    0.4001    0.0001
!! demod.retrieve_generalizations              496725   30.0889    0.4123    0.0001
!! demod.unify                                  32076    1.5655    0.4005    0.0000
!! build_clause                                  6591   33.6153    0.4051    0.0051
!! compare_terms(nrkbo)                          6593   17.2478    0.4044    0.0026
!! compare_terms(nrkbo)                             2    0.0001    0.0001    0.0000
11828: Facts:
11828:  Id :   2, {_}:
          join (meet (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4)
            (meet
              (join (meet ?2 (join (join (meet ?5 ?3) (meet ?3 ?6)) ?3))
                (meet
                  (join
                    (meet ?3
                      (meet (meet (join ?5 (join ?3 ?6)) (join ?7 ?3)) ?3))
                    (meet ?8
                      (join ?3
                        (meet (meet (join ?5 (join ?3 ?6)) (join ?7 ?3)) ?3))))
                  (join ?2 (join (join (meet ?5 ?3) (meet ?3 ?6)) ?3))))
              (join (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4))
          =>=
          ?3
          [8, 7, 6, 5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5 ?6 ?7 ?8
11828: Goal:
11828:  Id :   1, {_}: meet a b =<= meet b a [] by prove_normal_axioms_2
% SZS status Timeout for LAT081-1.p
11863: Facts:
11863:  Id :   2, {_}:
          join (meet (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4)
            (meet
              (join (meet ?2 (join (join (meet ?5 ?3) (meet ?3 ?6)) ?3))
                (meet
                  (join
                    (meet ?3
                      (meet (meet (join ?5 (join ?3 ?6)) (join ?7 ?3)) ?3))
                    (meet ?8
                      (join ?3
                        (meet (meet (join ?5 (join ?3 ?6)) (join ?7 ?3)) ?3))))
                  (join ?2 (join (join (meet ?5 ?3) (meet ?3 ?6)) ?3))))
              (join (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4))
          =>=
          ?3
          [8, 7, 6, 5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5 ?6 ?7 ?8
11863: Goal:
11863:  Id :   1, {_}:
          meet (meet a b) c =>= meet a (meet b c)
          [] by prove_normal_axioms_3
% SZS status Timeout for LAT082-1.p
11903: Facts:
11903:  Id :   2, {_}:
          join (meet (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4)
            (meet
              (join (meet ?2 (join (join (meet ?5 ?3) (meet ?3 ?6)) ?3))
                (meet
                  (join
                    (meet ?3
                      (meet (meet (join ?5 (join ?3 ?6)) (join ?7 ?3)) ?3))
                    (meet ?8
                      (join ?3
                        (meet (meet (join ?5 (join ?3 ?6)) (join ?7 ?3)) ?3))))
                  (join ?2 (join (join (meet ?5 ?3) (meet ?3 ?6)) ?3))))
              (join (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4))
          =>=
          ?3
          [8, 7, 6, 5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5 ?6 ?7 ?8
11903: Goal:
11903:  Id :   1, {_}: join a a =>= a [] by prove_normal_axioms_4
Statistics :
Max weight : 3122
Found proof, 86.180942s
% SZS status Unsatisfiable for LAT083-1.p
% SZS output start CNFRefutation for LAT083-1.p
Id :   2, {_}: join (meet (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4) (meet (join (meet ?2 (join (join (meet ?5 ?3) (meet ?3 ?6)) ?3)) (meet (join (meet ?3 (meet (meet (join ?5 (join ?3 ?6)) (join ?7 ?3)) ?3)) (meet ?8 (join ?3 (meet (meet (join ?5 (join ?3 ?6)) (join ?7 ?3)) ?3)))) (join ?2 (join (join (meet ?5 ?3) (meet ?3 ?6)) ?3)))) (join (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4)) =>= ?3 [8, 7, 6, 5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5 ?6 ?7 ?8
Id :   3, {_}: join (meet (join (meet ?10 ?11) (meet ?11 (join ?10 ?11))) ?12) (meet (join (meet ?10 (join (join (meet ?13 ?11) (meet ?11 ?14)) ?11)) (meet (join (meet ?11 (meet (meet (join ?13 (join ?11 ?14)) (join ?15 ?11)) ?11)) (meet ?16 (join ?11 (meet (meet (join ?13 (join ?11 ?14)) (join ?15 ?11)) ?11)))) (join ?10 (join (join (meet ?13 ?11) (meet ?11 ?14)) ?11)))) (join (join (meet ?10 ?11) (meet ?11 (join ?10 ?11))) ?12)) =>= ?11 [16, 15, 14, 13, 12, 11, 10] by single_axiom ?10 ?11 ?12 ?13 ?14 ?15 ?16
Id :  11, {_}: join (meet (join (meet ?106 (join (meet ?107 ?108) (meet ?108 (join ?107 ?108)))) (meet (join (meet ?107 ?108) (meet ?108 (join ?107 ?108))) (join ?106 (join (meet ?107 ?108) (meet ?108 (join ?107 ?108)))))) ?109) (meet (join (meet ?106 (join (join (meet ?110 (join (meet ?107 ?108) (meet ?108 (join ?107 ?108)))) (meet (join (meet ?107 ?108) (meet ?108 (join ?107 ?108))) ?111)) (join (meet ?107 ?108) (meet ?108 (join ?107 ?108))))) (meet ?108 (join ?106 (join (join (meet ?110 (join (meet ?107 ?108) (meet ?108 (join ?107 ?108)))) (meet (join (meet ?107 ?108) (meet ?108 (join ?107 ?108))) ?111)) (join (meet ?107 ?108) (meet ?108 (join ?107 ?108))))))) (join (join (meet ?106 (join (meet ?107 ?108) (meet ?108 (join ?107 ?108)))) (meet (join (meet ?107 ?108) (meet ?108 (join ?107 ?108))) (join ?106 (join (meet ?107 ?108) (meet ?108 (join ?107 ?108)))))) ?109)) =>= join (meet ?107 ?108) (meet ?108 (join ?107 ?108)) [111, 110, 109, 108, 107, 106] by Super 3 with 2 at 1,2,1,2,2
Id :  37, {_}: join (meet (join (meet ?273 (join (meet ?274 ?275) (meet ?275 (join ?274 ?275)))) (meet (join (meet ?274 ?275) (meet ?275 (join ?274 ?275))) (join ?273 (join (meet ?274 ?275) (meet ?275 (join ?274 ?275)))))) ?276) (meet (join (meet ?273 (join (join (meet ?277 (join (meet ?274 ?275) (meet ?275 (join ?274 ?275)))) (meet (join (meet ?274 ?275) (meet ?275 (join ?274 ?275))) ?278)) (join (meet ?274 ?275) (meet ?275 (join ?274 ?275))))) (meet ?275 (join ?273 (join (join (meet ?277 (join (meet ?274 ?275) (meet ?275 (join ?274 ?275)))) (meet (join (meet ?274 ?275) (meet ?275 (join ?274 ?275))) ?278)) (join (meet ?274 ?275) (meet ?275 (join ?274 ?275))))))) (join (join (meet ?273 (join (meet ?274 ?275) (meet ?275 (join ?274 ?275)))) (meet (join (meet ?274 ?275) (meet ?275 (join ?274 ?275))) (join ?273 (join (meet ?274 ?275) (meet ?275 (join ?274 ?275)))))) ?276)) =>= join (meet ?274 ?275) (meet ?275 (join ?274 ?275)) [278, 277, 276, 275, 274, 273] by Super 3 with 2 at 1,2,1,2,2
Id :  40, {_}: join (meet (join (meet ?303 (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))))) (meet (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))))) (join ?303 (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))))))) ?310) (meet (join (meet ?303 (join (join (meet ?311 (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))))) (meet (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))))) ?312)) (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 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(join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))) [312, 311, 310, 309, 308, 307, 306, 304, 305, 303] by Demod 40 with 2 at 2,1,1,1,2
Id : 125, {_}: join (meet (join (meet ?303 ?305) (meet ?305 (join ?303 (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) 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(join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))) [312, 311, 310, 309, 308, 307, 306, 304, 305, 303] by Demod 124 with 2 at 1,2,1,1,2
Id : 126, {_}: join (meet (join (meet ?303 ?305) (meet ?305 (join ?303 ?305))) ?310) (meet (join (meet ?303 (join (join (meet ?311 (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet 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(meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))))) (join ?303 ?305))) ?310)) =>= join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join 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?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))))) (join ?303 ?305))) ?310)) =>= join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))) [309, 308, 307, 306, 304, 312, 311, 310, 305, 303] by Demod 127 with 2 at 1,2,1,2,1,1,2,2
Id : 129, {_}: join (meet (join (meet ?303 ?305) (meet ?305 (join ?303 ?305))) ?310) (meet (join (meet ?303 (join (join (meet ?311 ?305) (meet ?305 ?312)) ?305)) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join ?303 (join (join (meet ?311 (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet 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(meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))))) ?312)) (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) 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?305))))))) (join ?303 ?305))) ?310)) =>= join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))) [309, 308, 307, 306, 304, 312, 311, 310, 305, 303] by Demod 128 with 2 at 2,2,1,1,2,2
Id : 130, {_}: join (meet (join (meet ?303 ?305) (meet ?305 (join ?303 ?305))) ?310) (meet (join (meet ?303 (join (join (meet ?311 ?305) (meet ?305 ?312)) ?305)) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join ?303 (join (join (meet ?311 ?305) (meet (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet 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?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))) [309, 308, 307, 306, 304, 312, 311, 310, 305, 303] by Demod 129 with 2 at 2,1,1,2,2,2,1,2,2
Id : 131, {_}: join (meet (join (meet ?303 ?305) (meet ?305 (join ?303 ?305))) ?310) (meet (join (meet ?303 (join (join (meet ?311 ?305) (meet ?305 ?312)) ?305)) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join ?303 (join (join (meet ?311 ?305) (meet ?305 ?312)) (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) 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?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))) [309, 308, 307, 306, 304, 312, 311, 310, 305, 303] by Demod 130 with 2 at 1,2,1,2,2,2,1,2,2
Id : 132, {_}: join (meet (join (meet ?303 ?305) (meet ?305 (join ?303 ?305))) ?310) (meet (join (meet ?303 (join (join (meet ?311 ?305) (meet ?305 ?312)) ?305)) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join ?303 (join (join (meet ?311 ?305) (meet ?305 ?312)) ?305)))) (join (join (meet ?303 (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))))) (meet (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))))) (join ?303 ?305))) ?310)) =>= join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))) [309, 308, 307, 306, 304, 312, 311, 310, 305, 303] by Demod 131 with 2 at 2,2,2,2,1,2,2
Id : 133, {_}: join (meet (join (meet ?303 ?305) (meet ?305 (join ?303 ?305))) ?310) (meet (join (meet ?303 (join (join (meet ?311 ?305) (meet ?305 ?312)) ?305)) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join ?303 (join (join (meet ?311 ?305) (meet ?305 ?312)) ?305)))) (join (join (meet ?303 ?305) (meet (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))))) (join ?303 ?305))) ?310)) =>= join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))) [309, 308, 307, 306, 304, 312, 311, 310, 305, 303] by Demod 132 with 2 at 2,1,1,2,2,2
Id : 134, {_}: join (meet (join (meet ?303 ?305) (meet ?305 (join ?303 ?305))) ?310) (meet (join (meet ?303 (join (join (meet ?311 ?305) (meet ?305 ?312)) ?305)) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join ?303 (join (join (meet ?311 ?305) (meet ?305 ?312)) ?305)))) (join (join (meet ?303 ?305) (meet ?305 (join ?303 ?305))) ?310)) =?= join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))) [309, 308, 307, 306, 304, 312, 311, 310, 305, 303] by Demod 133 with 2 at 1,2,1,2,2,2
Id : 712, {_}: join (meet (join (meet ?1349 ?1350) (meet ?1350 (join ?1349 ?1350))) ?1351) (meet (join (meet ?1349 (join (join (meet ?1352 ?1350) (meet ?1350 ?1353)) ?1350)) (meet (join (meet ?1354 (join (join (meet ?1355 ?1350) (meet ?1350 ?1356)) ?1350)) (meet (join (meet ?1350 (meet (meet (join ?1355 (join ?1350 ?1356)) (join ?1357 ?1350)) ?1350)) (meet ?1358 (join ?1350 (meet (meet (join ?1355 (join ?1350 ?1356)) (join ?1357 ?1350)) ?1350)))) (join ?1354 (join (join (meet ?1355 ?1350) (meet ?1350 ?1356)) ?1350)))) (join ?1349 (join (join (meet ?1352 ?1350) (meet ?1350 ?1353)) ?1350)))) (join (join (meet ?1349 ?1350) (meet ?1350 (join ?1349 ?1350))) ?1351)) =>= ?1350 [1358, 1357, 1356, 1355, 1354, 1353, 1352, 1351, 1350, 1349] by Demod 134 with 2 at 3
Id : 746, {_}: join (meet (join (meet (join (meet ?1864 ?1865) (meet ?1865 (join ?1864 ?1865))) ?1865) (meet ?1865 (join (join (meet ?1864 ?1865) (meet ?1865 (join ?1864 ?1865))) ?1865))) ?1866) (meet ?1865 (join (join (meet (join (meet ?1864 ?1865) (meet ?1865 (join ?1864 ?1865))) ?1865) (meet ?1865 (join (join (meet ?1864 ?1865) (meet ?1865 (join ?1864 ?1865))) ?1865))) ?1866)) =>= ?1865 [1866, 1865, 1864] by Super 712 with 2 at 1,2,2
Id : 1090, {_}: join (meet (join (meet ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))) (meet ?1977 (join ?1975 (join (join (meet ?1979 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))))) (join (join (meet ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 ?1977))) ?1978)) =>= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1980, 1979, 1978, 1977, 1976, 1975] by Super 11 with 746 at 2,2,2,1,2,2,2
Id : 1216, {_}: join (meet (join (meet ?1975 ?1977) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))) (meet ?1977 (join ?1975 (join (join (meet ?1979 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))))) (join (join (meet ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 ?1977))) ?1978)) =>= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1980, 1979, 1978, 1976, 1977, 1975] by Demod 1090 with 746 at 2,1,1,1,2
Id : 1217, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))) (meet ?1977 (join ?1975 (join (join (meet ?1979 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))))) (join (join (meet ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 ?1977))) ?1978)) =>= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1980, 1979, 1978, 1976, 1977, 1975] by Demod 1216 with 746 at 1,2,1,1,2
Id : 1218, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))) (meet ?1977 (join ?1975 (join (join (meet ?1979 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))))) (join (join (meet ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 ?1977))) ?1978)) =>= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1980, 1976, 1979, 1978, 1977, 1975] by Demod 1217 with 746 at 2,2,2,1,1,2
Id : 1219, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 ?1977) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))) (meet ?1977 (join ?1975 (join (join (meet ?1979 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))))) (join (join (meet ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 ?1977))) ?1978)) =>= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1980, 1976, 1979, 1978, 1977, 1975] by Demod 1218 with 746 at 2,1,1,2,1,1,2,2
Id : 1220, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))) (meet ?1977 (join ?1975 (join (join (meet ?1979 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))))) (join (join (meet ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 ?1977))) ?1978)) =>= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1976, 1980, 1979, 1978, 1977, 1975] by Demod 1219 with 746 at 1,2,1,2,1,1,2,2
Id : 1221, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) ?1977)) (meet ?1977 (join ?1975 (join (join (meet ?1979 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))))) (join (join (meet ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 ?1977))) ?1978)) =>= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1976, 1980, 1979, 1978, 1977, 1975] by Demod 1220 with 746 at 2,2,1,1,2,2
Id : 1222, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) ?1977)) (meet ?1977 (join ?1975 (join (join (meet ?1979 ?1977) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))))) (join (join (meet ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 ?1977))) ?1978)) =>= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1976, 1980, 1979, 1978, 1977, 1975] by Demod 1221 with 746 at 2,1,1,2,2,2,1,2,2
Id : 1223, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) ?1977)) (meet ?1977 (join ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))))) (join (join (meet ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 ?1977))) ?1978)) =>= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1976, 1980, 1979, 1978, 1977, 1975] by Demod 1222 with 746 at 1,2,1,2,2,2,1,2,2
Id : 1224, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) ?1977)) (meet ?1977 (join ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) ?1977)))) (join (join (meet ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 ?1977))) ?1978)) =>= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1976, 1980, 1979, 1978, 1977, 1975] by Demod 1223 with 746 at 2,2,2,2,1,2,2
Id : 1225, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) ?1977)) (meet ?1977 (join ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) ?1977)))) (join (join (meet ?1975 ?1977) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 ?1977))) ?1978)) =>= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1976, 1980, 1979, 1978, 1977, 1975] by Demod 1224 with 746 at 2,1,1,2,2,2
Id : 1226, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) ?1977)) (meet ?1977 (join ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) ?1977)))) (join (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978)) =?= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1976, 1980, 1979, 1978, 1977, 1975] by Demod 1225 with 746 at 1,2,1,2,2,2
Id : 1227, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) ?1977)) (meet ?1977 (join ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) ?1977)))) (join (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978)) =>= ?1977 [1980, 1979, 1978, 1977, 1975] by Demod 1226 with 746 at 3
Id : 2529, {_}: join (meet (join (meet ?4347 ?4348) (meet ?4348 (join ?4347 ?4348))) ?4349) (meet (join (meet ?4347 (join (join (meet ?4350 ?4348) (meet ?4348 ?4351)) ?4348)) (meet ?4348 (join ?4347 (join (join (meet ?4350 ?4348) (meet ?4348 ?4351)) ?4348)))) (join (join (meet ?4347 ?4348) (meet ?4348 (join ?4347 ?4348))) ?4349)) =>= ?4348 [4351, 4350, 4349, 4348, 4347] by Demod 1226 with 746 at 3
Id : 2542, {_}: join (meet (join (meet (join (meet ?4460 ?4461) (meet ?4461 (join ?4460 ?4461))) (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461))))) (meet (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)))) (join (join (meet ?4460 ?4461) (meet ?4461 (join ?4460 ?4461))) (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461))))))) ?4464) (meet (join (meet (join (meet ?4460 ?4461) (meet ?4461 (join ?4460 ?4461))) (join (join (meet ?4465 (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461))))) (meet (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)))) ?4466)) (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)))))) (meet (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)))) (join (join (meet ?4460 ?4461) (meet ?4461 (join ?4460 ?4461))) (join (join (meet ?4465 (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461))))) (meet (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)))) ?4466)) (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)))))))) (join ?4461 ?4464)) =>= join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461))) [4466, 4465, 4464, 4463, 4462, 4461, 4460] by Super 2529 with 1227 at 1,2,2,2
Id : 2936, {_}: join (meet ?4461 ?4464) (meet (join (meet (join (meet ?4460 ?4461) (meet ?4461 (join ?4460 ?4461))) (join (join (meet ?4465 (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461))))) (meet (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)))) ?4466)) (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)))))) (meet (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)))) (join (join (meet ?4460 ?4461) (meet ?4461 (join ?4460 ?4461))) (join (join (meet ?4465 (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461))))) (meet (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)))) ?4466)) (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)))))))) (join ?4461 ?4464)) =>= join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461))) [4466, 4463, 4462, 4465, 4460, 4464, 4461] by Demod 2542 with 1227 at 1,1,2
Id : 2937, {_}: join (meet ?4461 ?4464) (meet ?4461 (join ?4461 ?4464)) =?= join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461))) [4463, 4462, 4460, 4464, 4461] by Demod 2936 with 1227 at 1,2,2
Id : 1145, {_}: join (meet (join (meet (join (meet ?2440 ?2441) (meet ?2441 (join ?2440 ?2441))) ?2441) (meet ?2441 (join (join (meet ?2440 ?2441) (meet ?2441 (join ?2440 ?2441))) ?2441))) ?2442) (meet ?2441 (join (join (meet (join (meet ?2440 ?2441) (meet ?2441 (join ?2440 ?2441))) ?2441) (meet ?2441 (join (join (meet ?2440 ?2441) (meet ?2441 (join ?2440 ?2441))) ?2441))) ?2442)) =>= ?2441 [2442, 2441, 2440] by Super 712 with 2 at 1,2,2
Id : 1162, {_}: join (meet (join (meet (join (meet (join (meet ?2572 ?2573) (meet ?2573 (join ?2572 ?2573))) ?2573) (meet ?2573 (join (join (meet ?2572 ?2573) (meet ?2573 (join ?2572 ?2573))) ?2573))) ?2573) (meet ?2573 (join (join (meet (join (meet ?2572 ?2573) (meet ?2573 (join ?2572 ?2573))) ?2573) (meet ?2573 (join (join (meet ?2572 ?2573) (meet ?2573 (join ?2572 ?2573))) ?2573))) ?2573))) ?2574) (meet ?2573 (join ?2573 ?2574)) =>= ?2573 [2574, 2573, 2572] by Super 1145 with 746 at 1,2,2,2
Id : 1542, {_}: join (meet ?2573 ?2574) (meet ?2573 (join ?2573 ?2574)) =>= ?2573 [2574, 2573] by Demod 1162 with 746 at 1,1,2
Id : 2938, {_}: ?4461 =<= join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461))) [4463, 4462, 4460, 4461] by Demod 2937 with 1542 at 2
Id : 2996, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978) (meet ?1977 (join (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978)) =>= ?1977 [1978, 1977, 1975] by Demod 1227 with 2938 at 1,2,2
Id : 3021, {_}: join (meet ?4917 (join (join (meet ?4918 ?4919) (meet ?4919 ?4920)) ?4919)) (meet (join (meet ?4919 (meet (meet (join ?4918 (join ?4919 ?4920)) (join ?4921 ?4919)) ?4919)) (meet ?4922 (join ?4919 (meet (meet (join ?4918 (join ?4919 ?4920)) (join ?4921 ?4919)) ?4919)))) (join ?4917 (join (join (meet ?4918 ?4919) (meet ?4919 ?4920)) ?4919))) =>= ?4919 [4922, 4921, 4920, 4919, 4918, 4917] by Super 2 with 2938 at 2
Id : 3908, {_}: ?5996 =<= join (meet ?5996 (meet (meet (join ?5997 (join ?5996 ?5998)) (join ?5999 ?5996)) ?5996)) (meet ?6000 (join ?5996 (meet (meet (join ?5997 (join ?5996 ?5998)) (join ?5999 ?5996)) ?5996))) [6000, 5999, 5998, 5997, 5996] by Super 2996 with 3021 at 2
Id : 4215, {_}: join (meet ?6881 ?6882) (meet ?6882 (join ?6881 ?6882)) =>= ?6882 [6882, 6881] by Super 2996 with 3908 at 2
Id : 4640, {_}: ?7259 =<= meet (meet (join ?7260 (join ?7259 ?7261)) (join ?7262 ?7259)) ?7259 [7262, 7261, 7260, 7259] by Super 3908 with 4215 at 3
Id : 4676, {_}: ?5996 =<= join (meet ?5996 ?5996) (meet ?6000 (join ?5996 (meet (meet (join ?5997 (join ?5996 ?5998)) (join ?5999 ?5996)) ?5996))) [5999, 5998, 5997, 6000, 5996] by Demod 3908 with 4640 at 2,1,3
Id : 4677, {_}: ?5996 =<= join (meet ?5996 ?5996) (meet ?6000 (join ?5996 ?5996)) [6000, 5996] by Demod 4676 with 4640 at 2,2,2,3
Id : 4626, {_}: ?7201 =<= join (meet ?7202 (join (join (meet ?7203 ?7201) (meet ?7201 (join ?7203 ?7201))) ?7201)) (meet ?7201 (join ?7202 (join ?7201 ?7201))) [7203, 7202, 7201] by Super 2938 with 4215 at 1,2,2,2,3
Id : 4674, {_}: ?7201 =<= join (meet ?7202 (join ?7201 ?7201)) (meet ?7201 (join ?7202 (join ?7201 ?7201))) [7202, 7201] by Demod 4626 with 4215 at 1,2,1,3
Id : 6362, {_}: join ?9266 ?9266 =>= ?9266 [9266] by Super 4677 with 4674 at 3
Id : 6629, {_}: a === a [] by Demod 1 with 6362 at 2
Id :   1, {_}: join a a =>= a [] by prove_normal_axioms_4
% SZS output end CNFRefutation for LAT083-1.p
11906: solved LAT083-1.p in 19.133195 using nrkbo
!! infer_left                                      35    0.0000    0.0000    0.0000
!! infer_right                                     36   85.9283   26.4639    2.3869
!! simplify_goal                                   36    0.0010    0.0002    0.0000
!! keep_simplified                                 62    0.0986    0.0114    0.0016
!! simplification_step                             87    0.0983    0.0053    0.0011
!! simplify                                      2189   76.6411    0.9920    0.0350
!! orphan_murder                                   90    0.0022    0.0002    0.0000
!! is_subsumed                                   2007    1.6498    0.4143    0.0008
!! build_new_clause                              1446    8.9689    0.4172    0.0062
!! demodulate                                    2173   74.9830    0.9877    0.0345
!! demod                                       496725   44.9967    0.4086    0.0001
!! demod.apply_subst                            10290    0.5159    0.4001    0.0001
!! demod.retrieve_generalizations              496725   37.3133    0.4084    0.0001
!! demod.unify                                  32076    0.9640    0.3001    0.0000
!! build_clause                                  6591   31.9684    0.4104    0.0049
!! compare_terms(nrkbo)                          6593   14.5968    0.4047    0.0022
!! compare_terms(nrkbo)                             2    0.0001    0.0001    0.0000
11930: Facts:
11930:  Id :   2, {_}:
          join (meet (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4)
            (meet
              (join (meet ?2 (join (join (meet ?5 ?3) (meet ?3 ?6)) ?3))
                (meet
                  (join
                    (meet ?3
                      (meet (meet (join ?5 (join ?3 ?6)) (join ?7 ?3)) ?3))
                    (meet ?8
                      (join ?3
                        (meet (meet (join ?5 (join ?3 ?6)) (join ?7 ?3)) ?3))))
                  (join ?2 (join (join (meet ?5 ?3) (meet ?3 ?6)) ?3))))
              (join (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4))
          =>=
          ?3
          [8, 7, 6, 5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5 ?6 ?7 ?8
11930: Goal:
11930:  Id :   1, {_}: join a b =<= join b a [] by prove_normal_axioms_5
% SZS status Timeout for LAT084-1.p
11971: Facts:
11971:  Id :   2, {_}:
          join (meet (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4)
            (meet
              (join (meet ?2 (join (join (meet ?5 ?3) (meet ?3 ?6)) ?3))
                (meet
                  (join
                    (meet ?3
                      (meet (meet (join ?5 (join ?3 ?6)) (join ?7 ?3)) ?3))
                    (meet ?8
                      (join ?3
                        (meet (meet (join ?5 (join ?3 ?6)) (join ?7 ?3)) ?3))))
                  (join ?2 (join (join (meet ?5 ?3) (meet ?3 ?6)) ?3))))
              (join (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4))
          =>=
          ?3
          [8, 7, 6, 5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5 ?6 ?7 ?8
11971: Goal:
11971:  Id :   1, {_}:
          join (join a b) c =>= join a (join b c)
          [] by prove_normal_axioms_6
% SZS status Timeout for LAT085-1.p
12001: Facts:
12001:  Id :   2, {_}:
          join (meet (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4)
            (meet
              (join (meet ?2 (join (join (meet ?5 ?3) (meet ?3 ?6)) ?3))
                (meet
                  (join
                    (meet ?3
                      (meet (meet (join ?5 (join ?3 ?6)) (join ?7 ?3)) ?3))
                    (meet ?8
                      (join ?3
                        (meet (meet (join ?5 (join ?3 ?6)) (join ?7 ?3)) ?3))))
                  (join ?2 (join (join (meet ?5 ?3) (meet ?3 ?6)) ?3))))
              (join (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4))
          =>=
          ?3
          [8, 7, 6, 5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5 ?6 ?7 ?8
12001: Goal:
12001:  Id :   1, {_}: meet a (join a b) =>= a [] by prove_normal_axioms_7
% SZS status Timeout for LAT086-1.p
12043: Facts:
12043:  Id :   2, {_}:
          join (meet (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4)
            (meet
              (join (meet ?2 (join (join (meet ?5 ?3) (meet ?3 ?6)) ?3))
                (meet
                  (join
                    (meet ?3
                      (meet (meet (join ?5 (join ?3 ?6)) (join ?7 ?3)) ?3))
                    (meet ?8
                      (join ?3
                        (meet (meet (join ?5 (join ?3 ?6)) (join ?7 ?3)) ?3))))
                  (join ?2 (join (join (meet ?5 ?3) (meet ?3 ?6)) ?3))))
              (join (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4))
          =>=
          ?3
          [8, 7, 6, 5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5 ?6 ?7 ?8
12043: Goal:
12043:  Id :   1, {_}: join a (meet a b) =>= a [] by prove_normal_axioms_8
Statistics :
Max weight : 3122
Found proof, 81.776020s
% SZS status Unsatisfiable for LAT087-1.p
% SZS output start CNFRefutation for LAT087-1.p
Id :   2, {_}: join (meet (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4) (meet (join (meet ?2 (join (join (meet ?5 ?3) (meet ?3 ?6)) ?3)) (meet (join (meet ?3 (meet (meet (join ?5 (join ?3 ?6)) (join ?7 ?3)) ?3)) (meet ?8 (join ?3 (meet (meet (join ?5 (join ?3 ?6)) (join ?7 ?3)) ?3)))) (join ?2 (join (join (meet ?5 ?3) (meet ?3 ?6)) ?3)))) (join (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4)) =>= ?3 [8, 7, 6, 5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5 ?6 ?7 ?8
Id :   3, {_}: join (meet (join (meet ?10 ?11) (meet ?11 (join ?10 ?11))) ?12) (meet (join (meet ?10 (join (join (meet ?13 ?11) (meet ?11 ?14)) ?11)) (meet (join (meet ?11 (meet (meet (join ?13 (join ?11 ?14)) (join ?15 ?11)) ?11)) (meet ?16 (join ?11 (meet (meet (join ?13 (join ?11 ?14)) (join ?15 ?11)) ?11)))) (join ?10 (join (join (meet ?13 ?11) (meet ?11 ?14)) ?11)))) (join (join (meet ?10 ?11) (meet ?11 (join ?10 ?11))) ?12)) =>= ?11 [16, 15, 14, 13, 12, 11, 10] by single_axiom ?10 ?11 ?12 ?13 ?14 ?15 ?16
Id :  37, {_}: join (meet (join (meet ?273 (join (meet ?274 ?275) (meet ?275 (join ?274 ?275)))) (meet (join (meet ?274 ?275) (meet ?275 (join ?274 ?275))) (join ?273 (join (meet ?274 ?275) (meet ?275 (join ?274 ?275)))))) ?276) (meet (join (meet ?273 (join (join (meet ?277 (join (meet ?274 ?275) (meet ?275 (join ?274 ?275)))) (meet (join (meet ?274 ?275) (meet ?275 (join ?274 ?275))) ?278)) (join (meet ?274 ?275) (meet ?275 (join ?274 ?275))))) (meet ?275 (join ?273 (join (join (meet ?277 (join (meet ?274 ?275) (meet ?275 (join ?274 ?275)))) (meet (join (meet ?274 ?275) (meet ?275 (join ?274 ?275))) ?278)) (join (meet ?274 ?275) (meet ?275 (join ?274 ?275))))))) (join (join (meet ?273 (join (meet ?274 ?275) (meet ?275 (join ?274 ?275)))) (meet (join (meet ?274 ?275) (meet ?275 (join ?274 ?275))) (join ?273 (join (meet ?274 ?275) (meet ?275 (join ?274 ?275)))))) ?276)) =>= join (meet ?274 ?275) (meet ?275 (join ?274 ?275)) [278, 277, 276, 275, 274, 273] by Super 3 with 2 at 1,2,1,2,2
Id :  40, {_}: join (meet (join (meet ?303 (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))))) (meet (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))))) (join ?303 (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))))))) ?310) (meet (join (meet ?303 (join (join (meet ?311 (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))))) (meet (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))))) ?312)) (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join ?303 (join (join (meet ?311 (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))))) (meet (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))))) ?312)) (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join 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(join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))) [312, 311, 310, 309, 308, 307, 306, 304, 305, 303] by Demod 124 with 2 at 1,2,1,1,2
Id : 126, {_}: join (meet (join (meet ?303 ?305) (meet ?305 (join ?303 ?305))) ?310) (meet (join (meet ?303 (join (join (meet ?311 (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet 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(meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))))) (join ?303 ?305))) ?310)) =>= join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))) [312, 309, 308, 307, 306, 304, 311, 310, 305, 303] by Demod 125 with 2 at 2,2,2,1,1,2
Id : 127, {_}: join (meet (join (meet ?303 ?305) (meet ?305 (join ?303 ?305))) ?310) (meet (join (meet ?303 (join (join (meet ?311 ?305) (meet (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet 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?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))))) (join ?303 ?305))) ?310)) =>= join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))) [312, 309, 308, 307, 306, 304, 311, 310, 305, 303] by Demod 126 with 2 at 2,1,1,2,1,1,2,2
Id : 128, {_}: join (meet (join (meet ?303 ?305) (meet ?305 (join ?303 ?305))) ?310) (meet (join (meet ?303 (join (join (meet ?311 ?305) (meet ?305 ?312)) (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet 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?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))))) (join ?303 ?305))) ?310)) =>= join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 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Id : 129, {_}: join (meet (join (meet ?303 ?305) (meet ?305 (join ?303 ?305))) ?310) (meet (join (meet ?303 (join (join (meet ?311 ?305) (meet ?305 ?312)) ?305)) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join ?303 (join (join (meet ?311 (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet 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(meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))))) ?312)) (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) 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?305))))))) (join ?303 ?305))) ?310)) =>= join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))) [309, 308, 307, 306, 304, 312, 311, 310, 305, 303] by Demod 128 with 2 at 2,2,1,1,2,2
Id : 130, {_}: join (meet (join (meet ?303 ?305) (meet ?305 (join ?303 ?305))) ?310) (meet (join (meet ?303 (join (join (meet ?311 ?305) (meet ?305 ?312)) ?305)) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join ?303 (join (join (meet ?311 ?305) (meet (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet 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?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))) [309, 308, 307, 306, 304, 312, 311, 310, 305, 303] by Demod 129 with 2 at 2,1,1,2,2,2,1,2,2
Id : 131, {_}: join (meet (join (meet ?303 ?305) (meet ?305 (join ?303 ?305))) ?310) (meet (join (meet ?303 (join (join (meet ?311 ?305) (meet ?305 ?312)) ?305)) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join ?303 (join (join (meet ?311 ?305) (meet ?305 ?312)) (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) 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?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))) [309, 308, 307, 306, 304, 312, 311, 310, 305, 303] by Demod 130 with 2 at 1,2,1,2,2,2,1,2,2
Id : 132, {_}: join (meet (join (meet ?303 ?305) (meet ?305 (join ?303 ?305))) ?310) (meet (join (meet ?303 (join (join (meet ?311 ?305) (meet ?305 ?312)) ?305)) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join ?303 (join (join (meet ?311 ?305) (meet ?305 ?312)) ?305)))) (join (join (meet ?303 (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))))) (meet (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))))) (join ?303 ?305))) ?310)) =>= join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))) [309, 308, 307, 306, 304, 312, 311, 310, 305, 303] by Demod 131 with 2 at 2,2,2,2,1,2,2
Id : 133, {_}: join (meet (join (meet ?303 ?305) (meet ?305 (join ?303 ?305))) ?310) (meet (join (meet ?303 (join (join (meet ?311 ?305) (meet ?305 ?312)) ?305)) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join ?303 (join (join (meet ?311 ?305) (meet ?305 ?312)) ?305)))) (join (join (meet ?303 ?305) (meet (join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))))) (join ?303 ?305))) ?310)) =>= join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))) [309, 308, 307, 306, 304, 312, 311, 310, 305, 303] by Demod 132 with 2 at 2,1,1,2,2,2
Id : 134, {_}: join (meet (join (meet ?303 ?305) (meet ?305 (join ?303 ?305))) ?310) (meet (join (meet ?303 (join (join (meet ?311 ?305) (meet ?305 ?312)) ?305)) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join ?303 (join (join (meet ?311 ?305) (meet ?305 ?312)) ?305)))) (join (join (meet ?303 ?305) (meet ?305 (join ?303 ?305))) ?310)) =?= join (meet (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305))))) (meet (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))) (join (join (meet ?304 ?305) (meet ?305 (join ?304 ?305))) (join (meet ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)) (meet (join (meet ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)) (meet ?309 (join ?305 (meet (meet (join ?306 (join ?305 ?307)) (join ?308 ?305)) ?305)))) (join ?304 (join (join (meet ?306 ?305) (meet ?305 ?307)) ?305)))))) [309, 308, 307, 306, 304, 312, 311, 310, 305, 303] by Demod 133 with 2 at 1,2,1,2,2,2
Id : 712, {_}: join (meet (join (meet ?1349 ?1350) (meet ?1350 (join ?1349 ?1350))) ?1351) (meet (join (meet ?1349 (join (join (meet ?1352 ?1350) (meet ?1350 ?1353)) ?1350)) (meet (join (meet ?1354 (join (join (meet ?1355 ?1350) (meet ?1350 ?1356)) ?1350)) (meet (join (meet ?1350 (meet (meet (join ?1355 (join ?1350 ?1356)) (join ?1357 ?1350)) ?1350)) (meet ?1358 (join ?1350 (meet (meet (join ?1355 (join ?1350 ?1356)) (join ?1357 ?1350)) ?1350)))) (join ?1354 (join (join (meet ?1355 ?1350) (meet ?1350 ?1356)) ?1350)))) (join ?1349 (join (join (meet ?1352 ?1350) (meet ?1350 ?1353)) ?1350)))) (join (join (meet ?1349 ?1350) (meet ?1350 (join ?1349 ?1350))) ?1351)) =>= ?1350 [1358, 1357, 1356, 1355, 1354, 1353, 1352, 1351, 1350, 1349] by Demod 134 with 2 at 3
Id : 1145, {_}: join (meet (join (meet (join (meet ?2440 ?2441) (meet ?2441 (join ?2440 ?2441))) ?2441) (meet ?2441 (join (join (meet ?2440 ?2441) (meet ?2441 (join ?2440 ?2441))) ?2441))) ?2442) (meet ?2441 (join (join (meet (join (meet ?2440 ?2441) (meet ?2441 (join ?2440 ?2441))) ?2441) (meet ?2441 (join (join (meet ?2440 ?2441) (meet ?2441 (join ?2440 ?2441))) ?2441))) ?2442)) =>= ?2441 [2442, 2441, 2440] by Super 712 with 2 at 1,2,2
Id : 746, {_}: join (meet (join (meet (join (meet ?1864 ?1865) (meet ?1865 (join ?1864 ?1865))) ?1865) (meet ?1865 (join (join (meet ?1864 ?1865) (meet ?1865 (join ?1864 ?1865))) ?1865))) ?1866) (meet ?1865 (join (join (meet (join (meet ?1864 ?1865) (meet ?1865 (join ?1864 ?1865))) ?1865) (meet ?1865 (join (join (meet ?1864 ?1865) (meet ?1865 (join ?1864 ?1865))) ?1865))) ?1866)) =>= ?1865 [1866, 1865, 1864] by Super 712 with 2 at 1,2,2
Id : 1162, {_}: join (meet (join (meet (join (meet (join (meet ?2572 ?2573) (meet ?2573 (join ?2572 ?2573))) ?2573) (meet ?2573 (join (join (meet ?2572 ?2573) (meet ?2573 (join ?2572 ?2573))) ?2573))) ?2573) (meet ?2573 (join (join (meet (join (meet ?2572 ?2573) (meet ?2573 (join ?2572 ?2573))) ?2573) (meet ?2573 (join (join (meet ?2572 ?2573) (meet ?2573 (join ?2572 ?2573))) ?2573))) ?2573))) ?2574) (meet ?2573 (join ?2573 ?2574)) =>= ?2573 [2574, 2573, 2572] by Super 1145 with 746 at 1,2,2,2
Id : 1542, {_}: join (meet ?2573 ?2574) (meet ?2573 (join ?2573 ?2574)) =>= ?2573 [2574, 2573] by Demod 1162 with 746 at 1,1,2
Id :  11, {_}: join (meet (join (meet ?106 (join (meet ?107 ?108) (meet ?108 (join ?107 ?108)))) (meet (join (meet ?107 ?108) (meet ?108 (join ?107 ?108))) (join ?106 (join (meet ?107 ?108) (meet ?108 (join ?107 ?108)))))) ?109) (meet (join (meet ?106 (join (join (meet ?110 (join (meet ?107 ?108) (meet ?108 (join ?107 ?108)))) (meet (join (meet ?107 ?108) (meet ?108 (join ?107 ?108))) ?111)) (join (meet ?107 ?108) (meet ?108 (join ?107 ?108))))) (meet ?108 (join ?106 (join (join (meet ?110 (join (meet ?107 ?108) (meet ?108 (join ?107 ?108)))) (meet (join (meet ?107 ?108) (meet ?108 (join ?107 ?108))) ?111)) (join (meet ?107 ?108) (meet ?108 (join ?107 ?108))))))) (join (join (meet ?106 (join (meet ?107 ?108) (meet ?108 (join ?107 ?108)))) (meet (join (meet ?107 ?108) (meet ?108 (join ?107 ?108))) (join ?106 (join (meet ?107 ?108) (meet ?108 (join ?107 ?108)))))) ?109)) =>= join (meet ?107 ?108) (meet ?108 (join ?107 ?108)) [111, 110, 109, 108, 107, 106] by Super 3 with 2 at 1,2,1,2,2
Id : 1090, {_}: join (meet (join (meet ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))) (meet ?1977 (join ?1975 (join (join (meet ?1979 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))))) (join (join (meet ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 ?1977))) ?1978)) =>= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1980, 1979, 1978, 1977, 1976, 1975] by Super 11 with 746 at 2,2,2,1,2,2,2
Id : 1216, {_}: join (meet (join (meet ?1975 ?1977) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))) (meet ?1977 (join ?1975 (join (join (meet ?1979 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))))) (join (join (meet ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 ?1977))) ?1978)) =>= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1980, 1979, 1978, 1976, 1977, 1975] by Demod 1090 with 746 at 2,1,1,1,2
Id : 1217, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))) (meet ?1977 (join ?1975 (join (join (meet ?1979 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))))) (join (join (meet ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 ?1977))) ?1978)) =>= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1980, 1979, 1978, 1976, 1977, 1975] by Demod 1216 with 746 at 1,2,1,1,2
Id : 1218, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))) (meet ?1977 (join ?1975 (join (join (meet ?1979 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))))) (join (join (meet ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 ?1977))) ?1978)) =>= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1980, 1976, 1979, 1978, 1977, 1975] by Demod 1217 with 746 at 2,2,2,1,1,2
Id : 1219, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 ?1977) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))) (meet ?1977 (join ?1975 (join (join (meet ?1979 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))))) (join (join (meet ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 ?1977))) ?1978)) =>= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1980, 1976, 1979, 1978, 1977, 1975] by Demod 1218 with 746 at 2,1,1,2,1,1,2,2
Id : 1220, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))) (meet ?1977 (join ?1975 (join (join (meet ?1979 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))))) (join (join (meet ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 ?1977))) ?1978)) =>= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1976, 1980, 1979, 1978, 1977, 1975] by Demod 1219 with 746 at 1,2,1,2,1,1,2,2
Id : 1221, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) ?1977)) (meet ?1977 (join ?1975 (join (join (meet ?1979 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))))) (join (join (meet ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 ?1977))) ?1978)) =>= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1976, 1980, 1979, 1978, 1977, 1975] by Demod 1220 with 746 at 2,2,1,1,2,2
Id : 1222, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) ?1977)) (meet ?1977 (join ?1975 (join (join (meet ?1979 ?1977) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))))) (join (join (meet ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 ?1977))) ?1978)) =>= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1976, 1980, 1979, 1978, 1977, 1975] by Demod 1221 with 746 at 2,1,1,2,2,2,1,2,2
Id : 1223, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) ?1977)) (meet ?1977 (join ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))))))) (join (join (meet ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 ?1977))) ?1978)) =>= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1976, 1980, 1979, 1978, 1977, 1975] by Demod 1222 with 746 at 1,2,1,2,2,2,1,2,2
Id : 1224, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) ?1977)) (meet ?1977 (join ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) ?1977)))) (join (join (meet ?1975 (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)))) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 ?1977))) ?1978)) =>= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1976, 1980, 1979, 1978, 1977, 1975] by Demod 1223 with 746 at 2,2,2,2,1,2,2
Id : 1225, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) ?1977)) (meet ?1977 (join ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) ?1977)))) (join (join (meet ?1975 ?1977) (meet (join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977))) (join ?1975 ?1977))) ?1978)) =>= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1976, 1980, 1979, 1978, 1977, 1975] by Demod 1224 with 746 at 2,1,1,2,2,2
Id : 1226, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) ?1977)) (meet ?1977 (join ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) ?1977)))) (join (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978)) =?= join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1977)) [1976, 1980, 1979, 1978, 1977, 1975] by Demod 1225 with 746 at 1,2,1,2,2,2
Id : 2529, {_}: join (meet (join (meet ?4347 ?4348) (meet ?4348 (join ?4347 ?4348))) ?4349) (meet (join (meet ?4347 (join (join (meet ?4350 ?4348) (meet ?4348 ?4351)) ?4348)) (meet ?4348 (join ?4347 (join (join (meet ?4350 ?4348) (meet ?4348 ?4351)) ?4348)))) (join (join (meet ?4347 ?4348) (meet ?4348 (join ?4347 ?4348))) ?4349)) =>= ?4348 [4351, 4350, 4349, 4348, 4347] by Demod 1226 with 746 at 3
Id : 1227, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978) (meet (join (meet ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) ?1977)) (meet ?1977 (join ?1975 (join (join (meet ?1979 ?1977) (meet ?1977 ?1980)) ?1977)))) (join (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978)) =>= ?1977 [1980, 1979, 1978, 1977, 1975] by Demod 1226 with 746 at 3
Id : 2542, {_}: join (meet (join (meet (join (meet ?4460 ?4461) (meet ?4461 (join ?4460 ?4461))) (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461))))) (meet (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)))) (join (join (meet ?4460 ?4461) (meet ?4461 (join ?4460 ?4461))) (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461))))))) ?4464) (meet (join (meet (join (meet ?4460 ?4461) (meet ?4461 (join ?4460 ?4461))) (join (join (meet ?4465 (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461))))) (meet (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)))) ?4466)) (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)))))) (meet (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)))) (join (join (meet ?4460 ?4461) (meet ?4461 (join ?4460 ?4461))) (join (join (meet ?4465 (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461))))) (meet (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)))) ?4466)) (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)))))))) (join ?4461 ?4464)) =>= join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461))) [4466, 4465, 4464, 4463, 4462, 4461, 4460] by Super 2529 with 1227 at 1,2,2,2
Id : 2936, {_}: join (meet ?4461 ?4464) (meet (join (meet (join (meet ?4460 ?4461) (meet ?4461 (join ?4460 ?4461))) (join (join (meet ?4465 (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461))))) (meet (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)))) ?4466)) (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)))))) (meet (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)))) (join (join (meet ?4460 ?4461) (meet ?4461 (join ?4460 ?4461))) (join (join (meet ?4465 (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461))))) (meet (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)))) ?4466)) (join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)))))))) (join ?4461 ?4464)) =>= join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461))) [4466, 4463, 4462, 4465, 4460, 4464, 4461] by Demod 2542 with 1227 at 1,1,2
Id : 2937, {_}: join (meet ?4461 ?4464) (meet ?4461 (join ?4461 ?4464)) =?= join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461))) [4463, 4462, 4460, 4464, 4461] by Demod 2936 with 1227 at 1,2,2
Id : 2938, {_}: ?4461 =<= join (meet ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461)) (meet ?4461 (join ?4460 (join (join (meet ?4462 ?4461) (meet ?4461 ?4463)) ?4461))) [4463, 4462, 4460, 4461] by Demod 2937 with 1542 at 2
Id : 2996, {_}: join (meet (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978) (meet ?1977 (join (join (meet ?1975 ?1977) (meet ?1977 (join ?1975 ?1977))) ?1978)) =>= ?1977 [1978, 1977, 1975] by Demod 1227 with 2938 at 1,2,2
Id : 3021, {_}: join (meet ?4917 (join (join (meet ?4918 ?4919) (meet ?4919 ?4920)) ?4919)) (meet (join (meet ?4919 (meet (meet (join ?4918 (join ?4919 ?4920)) (join ?4921 ?4919)) ?4919)) (meet ?4922 (join ?4919 (meet (meet (join ?4918 (join ?4919 ?4920)) (join ?4921 ?4919)) ?4919)))) (join ?4917 (join (join (meet ?4918 ?4919) (meet ?4919 ?4920)) ?4919))) =>= ?4919 [4922, 4921, 4920, 4919, 4918, 4917] by Super 2 with 2938 at 2
Id : 3908, {_}: ?5996 =<= join (meet ?5996 (meet (meet (join ?5997 (join ?5996 ?5998)) (join ?5999 ?5996)) ?5996)) (meet ?6000 (join ?5996 (meet (meet (join ?5997 (join ?5996 ?5998)) (join ?5999 ?5996)) ?5996))) [6000, 5999, 5998, 5997, 5996] by Super 2996 with 3021 at 2
Id : 4215, {_}: join (meet ?6881 ?6882) (meet ?6882 (join ?6881 ?6882)) =>= ?6882 [6882, 6881] by Super 2996 with 3908 at 2
Id : 4640, {_}: ?7259 =<= meet (meet (join ?7260 (join ?7259 ?7261)) (join ?7262 ?7259)) ?7259 [7262, 7261, 7260, 7259] by Super 3908 with 4215 at 3
Id : 4676, {_}: ?5996 =<= join (meet ?5996 ?5996) (meet ?6000 (join ?5996 (meet (meet (join ?5997 (join ?5996 ?5998)) (join ?5999 ?5996)) ?5996))) [5999, 5998, 5997, 6000, 5996] by Demod 3908 with 4640 at 2,1,3
Id : 4677, {_}: ?5996 =<= join (meet ?5996 ?5996) (meet ?6000 (join ?5996 ?5996)) [6000, 5996] by Demod 4676 with 4640 at 2,2,2,3
Id : 4626, {_}: ?7201 =<= join (meet ?7202 (join (join (meet ?7203 ?7201) (meet ?7201 (join ?7203 ?7201))) ?7201)) (meet ?7201 (join ?7202 (join ?7201 ?7201))) [7203, 7202, 7201] by Super 2938 with 4215 at 1,2,2,2,3
Id : 4674, {_}: ?7201 =<= join (meet ?7202 (join ?7201 ?7201)) (meet ?7201 (join ?7202 (join ?7201 ?7201))) [7202, 7201] by Demod 4626 with 4215 at 1,2,1,3
Id : 6362, {_}: join ?9266 ?9266 =>= ?9266 [9266] by Super 4677 with 4674 at 3
Id : 6467, {_}: ?9374 =<= join (meet (join (join (meet ?9375 ?9374) (meet ?9374 ?9376)) ?9374) (join (join (meet ?9375 ?9374) (meet ?9374 ?9376)) ?9374)) (meet ?9374 (join (join (meet ?9375 ?9374) (meet ?9374 ?9376)) ?9374)) [9376, 9375, 9374] by Super 2938 with 6362 at 2,2,3
Id : 4678, {_}: ?7310 =<= join (meet ?7310 ?7310) (join ?7310 ?7310) [7310] by Super 4677 with 4640 at 2,3
Id : 4849, {_}: ?7745 =<= meet (meet ?7745 (join ?7746 ?7745)) ?7745 [7746, 7745] by Super 4640 with 4678 at 1,1,3
Id : 4859, {_}: join ?7779 ?7779 =<= meet (meet (join ?7779 ?7779) ?7779) (join ?7779 ?7779) [7779] by Super 4849 with 4678 at 2,1,3
Id : 4805, {_}: ?7615 =<= meet (meet ?7615 (join ?7616 ?7615)) ?7615 [7616, 7615] by Super 4640 with 4678 at 1,1,3
Id : 4817, {_}: join ?7624 (meet ?7624 (join (meet ?7624 (join ?7625 ?7624)) ?7624)) =>= ?7624 [7625, 7624] by Super 4215 with 4805 at 1,2
Id : 5276, {_}: ?8252 =<= meet (meet (join ?8253 ?8252) (join ?8254 ?8252)) ?8252 [8254, 8253, 8252] by Super 4640 with 4817 at 2,1,1,3
Id : 5515, {_}: join ?8563 ?8563 =<= meet (meet (join ?8564 (join ?8563 ?8563)) ?8563) (join ?8563 ?8563) [8564, 8563] by Super 5276 with 4678 at 2,1,3
Id : 5517, {_}: join ?8569 ?8569 =<= meet (meet ?8569 ?8569) (join ?8569 ?8569) [8569] by Super 5515 with 4678 at 1,1,3
Id : 5583, {_}: join (join ?8575 ?8575) (meet (join ?8575 ?8575) (join (meet ?8575 ?8575) (join ?8575 ?8575))) =>= join ?8575 ?8575 [8575] by Super 4215 with 5517 at 1,2
Id : 5700, {_}: join (join ?8575 ?8575) (meet (join ?8575 ?8575) ?8575) =>= join ?8575 ?8575 [8575] by Demod 5583 with 4678 at 2,2,2
Id : 5728, {_}: join (meet (join ?8697 ?8697) (meet (join ?8697 ?8697) ?8697)) (meet (meet (join ?8697 ?8697) ?8697) (join ?8697 ?8697)) =>= meet (join ?8697 ?8697) ?8697 [8697] by Super 4215 with 5700 at 2,2,2
Id : 4856, {_}: meet ?7768 (join ?7769 ?7768) =<= meet (meet (meet ?7768 (join ?7769 ?7768)) ?7768) (meet ?7768 (join ?7769 ?7768)) [7769, 7768] by Super 4849 with 4215 at 2,1,3
Id : 4947, {_}: meet ?7857 (join ?7858 ?7857) =<= meet ?7857 (meet ?7857 (join ?7858 ?7857)) [7858, 7857] by Demod 4856 with 4805 at 1,3
Id : 4957, {_}: meet (join ?7891 ?7891) (join (meet ?7891 ?7891) (join ?7891 ?7891)) =>= meet (join ?7891 ?7891) (meet (join ?7891 ?7891) ?7891) [7891] by Super 4947 with 4678 at 2,2,3
Id : 5024, {_}: meet (join ?7891 ?7891) ?7891 =<= meet (join ?7891 ?7891) (meet (join ?7891 ?7891) ?7891) [7891] by Demod 4957 with 4678 at 2,2
Id : 5763, {_}: join (meet (join ?8697 ?8697) ?8697) (meet (meet (join ?8697 ?8697) ?8697) (join ?8697 ?8697)) =>= meet (join ?8697 ?8697) ?8697 [8697] by Demod 5728 with 5024 at 1,2
Id : 5764, {_}: join (meet (join ?8697 ?8697) ?8697) (join ?8697 ?8697) =>= meet (join ?8697 ?8697) ?8697 [8697] by Demod 5763 with 4859 at 2,2
Id : 6078, {_}: ?9071 =<= meet (meet (meet (join ?9071 ?9071) ?9071) (join ?9072 ?9071)) ?9071 [9072, 9071] by Super 4640 with 5764 at 1,1,3
Id : 6094, {_}: ?9119 =<= meet (join ?9119 ?9119) ?9119 [9119] by Super 6078 with 4859 at 1,3
Id : 6176, {_}: join ?7779 ?7779 =<= meet ?7779 (join ?7779 ?7779) [7779] by Demod 4859 with 6094 at 1,3
Id : 6434, {_}: ?7779 =<= meet ?7779 (join ?7779 ?7779) [7779] by Demod 6176 with 6362 at 2
Id : 6435, {_}: ?7779 =<= meet ?7779 ?7779 [7779] by Demod 6434 with 6362 at 2,3
Id : 6509, {_}: ?9374 =<= join (join (join (meet ?9375 ?9374) (meet ?9374 ?9376)) ?9374) (meet ?9374 (join (join (meet ?9375 ?9374) (meet ?9374 ?9376)) ?9374)) [9376, 9375, 9374] by Demod 6467 with 6435 at 1,3
Id : 6416, {_}: ?5996 =<= join (meet ?5996 ?5996) (meet ?6000 ?5996) [6000, 5996] by Demod 4677 with 6362 at 2,2,3
Id : 6447, {_}: ?5996 =<= join ?5996 (meet ?6000 ?5996) [6000, 5996] by Demod 6416 with 6435 at 1,3
Id : 6510, {_}: ?9374 =<= join (join (meet ?9375 ?9374) (meet ?9374 ?9376)) ?9374 [9376, 9375, 9374] by Demod 6509 with 6447 at 3
Id : 7103, {_}: join (meet (join (meet ?10067 ?10068) (meet ?10068 ?10069)) ?10068) (meet (join (meet ?10067 ?10068) (meet ?10068 ?10069)) ?10068) =>= join (meet ?10067 ?10068) (meet ?10068 ?10069) [10069, 10068, 10067] by Super 1542 with 6510 at 2,2,2
Id : 8420, {_}: meet (join (meet ?11111 ?11112) (meet ?11112 ?11113)) ?11112 =>= join (meet ?11111 ?11112) (meet ?11112 ?11113) [11113, 11112, 11111] by Demod 7103 with 6362 at 2
Id : 8437, {_}: meet (join ?11185 (meet ?11185 ?11186)) ?11185 =<= join (meet (meet (join ?11187 (join ?11185 ?11188)) (join ?11189 ?11185)) ?11185) (meet ?11185 ?11186) [11189, 11188, 11187, 11186, 11185] by Super 8420 with 4640 at 1,1,2
Id : 6659, {_}: ?9553 =<= meet (meet (join ?9554 (join ?9553 ?9555)) ?9553) ?9553 [9555, 9554, 9553] by Super 4640 with 6362 at 2,1,3
Id : 6673, {_}: ?9610 =<= meet (meet (join ?9610 ?9611) ?9610) ?9610 [9611, 9610] by Super 6659 with 6362 at 1,1,3
Id : 3253, {_}: join (meet (meet ?5411 (join (join (meet ?5412 ?5413) (meet ?5413 ?5414)) ?5413)) (meet ?5413 (join ?5411 (join (join (meet ?5412 ?5413) (meet ?5413 ?5414)) ?5413)))) (meet (meet ?5411 (join (join (meet ?5412 ?5413) (meet ?5413 ?5414)) ?5413)) ?5413) =>= meet ?5411 (join (join (meet ?5412 ?5413) (meet ?5413 ?5414)) ?5413) [5414, 5413, 5412, 5411] by Super 1542 with 2938 at 2,2,2
Id : 3257, {_}: join (meet (meet ?5442 (join (join (meet ?5443 ?5443) (meet ?5443 (join ?5443 ?5443))) ?5443)) (meet ?5443 (join ?5442 (join (join (meet ?5443 ?5443) (meet ?5443 (join ?5443 ?5443))) ?5443)))) (meet (meet ?5442 (join ?5443 ?5443)) ?5443) =>= meet ?5442 (join (join (meet ?5443 ?5443) (meet ?5443 (join ?5443 ?5443))) ?5443) [5443, 5442] by Super 3253 with 1542 at 1,2,1,2,2
Id : 3442, {_}: join (meet (meet ?5442 (join ?5443 ?5443)) (meet ?5443 (join ?5442 (join (join (meet ?5443 ?5443) (meet ?5443 (join ?5443 ?5443))) ?5443)))) (meet (meet ?5442 (join ?5443 ?5443)) ?5443) =>= meet ?5442 (join (join (meet ?5443 ?5443) (meet ?5443 (join ?5443 ?5443))) ?5443) [5443, 5442] by Demod 3257 with 1542 at 1,2,1,1,2
Id : 3443, {_}: join (meet (meet ?5442 (join ?5443 ?5443)) (meet ?5443 (join ?5442 (join ?5443 ?5443)))) (meet (meet ?5442 (join ?5443 ?5443)) ?5443) =>= meet ?5442 (join (join (meet ?5443 ?5443) (meet ?5443 (join ?5443 ?5443))) ?5443) [5443, 5442] by Demod 3442 with 1542 at 1,2,2,2,1,2
Id : 3444, {_}: join (meet (meet ?5442 (join ?5443 ?5443)) (meet ?5443 (join ?5442 (join ?5443 ?5443)))) (meet (meet ?5442 (join ?5443 ?5443)) ?5443) =>= meet ?5442 (join ?5443 ?5443) [5443, 5442] by Demod 3443 with 1542 at 1,2,3
Id : 6417, {_}: join (meet (meet ?5442 ?5443) (meet ?5443 (join ?5442 (join ?5443 ?5443)))) (meet (meet ?5442 (join ?5443 ?5443)) ?5443) =>= meet ?5442 (join ?5443 ?5443) [5443, 5442] by Demod 3444 with 6362 at 2,1,1,2
Id : 6418, {_}: join (meet (meet ?5442 ?5443) (meet ?5443 (join ?5442 ?5443))) (meet (meet ?5442 (join ?5443 ?5443)) ?5443) =>= meet ?5442 (join ?5443 ?5443) [5443, 5442] by Demod 6417 with 6362 at 2,2,2,1,2
Id : 6419, {_}: join (meet (meet ?5442 ?5443) (meet ?5443 (join ?5442 ?5443))) (meet (meet ?5442 ?5443) ?5443) =>= meet ?5442 (join ?5443 ?5443) [5443, 5442] by Demod 6418 with 6362 at 2,1,2,2
Id : 6420, {_}: join (meet (meet ?5442 ?5443) (meet ?5443 (join ?5442 ?5443))) (meet (meet ?5442 ?5443) ?5443) =>= meet ?5442 ?5443 [5443, 5442] by Demod 6419 with 6362 at 2,3
Id : 3506, {_}: join (meet (meet (meet ?5735 (join ?5736 ?5736)) (meet ?5736 (join ?5735 (join ?5736 ?5736)))) (meet (meet ?5735 (join ?5736 ?5736)) ?5736)) (meet (meet (meet ?5735 (join ?5736 ?5736)) (meet ?5736 (join ?5735 (join ?5736 ?5736)))) (meet ?5735 (join ?5736 ?5736))) =>= meet (meet ?5735 (join ?5736 ?5736)) (meet ?5736 (join ?5735 (join ?5736 ?5736))) [5736, 5735] by Super 1542 with 3444 at 2,2,2
Id : 6421, {_}: join (meet (meet (meet ?5735 ?5736) (meet ?5736 (join ?5735 (join ?5736 ?5736)))) (meet (meet ?5735 (join ?5736 ?5736)) ?5736)) (meet (meet (meet ?5735 (join ?5736 ?5736)) (meet ?5736 (join ?5735 (join ?5736 ?5736)))) (meet ?5735 (join ?5736 ?5736))) =>= meet (meet ?5735 (join ?5736 ?5736)) (meet ?5736 (join ?5735 (join ?5736 ?5736))) [5736, 5735] by Demod 3506 with 6362 at 2,1,1,1,2
Id : 6422, {_}: join (meet (meet (meet ?5735 ?5736) (meet ?5736 (join ?5735 ?5736))) (meet (meet ?5735 (join ?5736 ?5736)) ?5736)) (meet (meet (meet ?5735 (join ?5736 ?5736)) (meet ?5736 (join ?5735 (join ?5736 ?5736)))) (meet ?5735 (join ?5736 ?5736))) =>= meet (meet ?5735 (join ?5736 ?5736)) (meet ?5736 (join ?5735 (join ?5736 ?5736))) [5736, 5735] by Demod 6421 with 6362 at 2,2,2,1,1,2
Id : 6423, {_}: join (meet (meet (meet ?5735 ?5736) (meet ?5736 (join ?5735 ?5736))) (meet (meet ?5735 ?5736) ?5736)) (meet (meet (meet ?5735 (join ?5736 ?5736)) (meet ?5736 (join ?5735 (join ?5736 ?5736)))) (meet ?5735 (join ?5736 ?5736))) =>= meet (meet ?5735 (join ?5736 ?5736)) (meet ?5736 (join ?5735 (join ?5736 ?5736))) [5736, 5735] by Demod 6422 with 6362 at 2,1,2,1,2
Id : 6424, {_}: join (meet (meet (meet ?5735 ?5736) (meet ?5736 (join ?5735 ?5736))) (meet (meet ?5735 ?5736) ?5736)) (meet (meet (meet ?5735 ?5736) (meet ?5736 (join ?5735 (join ?5736 ?5736)))) (meet ?5735 (join ?5736 ?5736))) =>= meet (meet ?5735 (join ?5736 ?5736)) (meet ?5736 (join ?5735 (join ?5736 ?5736))) [5736, 5735] by Demod 6423 with 6362 at 2,1,1,2,2
Id : 6425, {_}: join (meet (meet (meet ?5735 ?5736) (meet ?5736 (join ?5735 ?5736))) (meet (meet ?5735 ?5736) ?5736)) (meet (meet (meet ?5735 ?5736) (meet ?5736 (join ?5735 ?5736))) (meet ?5735 (join ?5736 ?5736))) =>= meet (meet ?5735 (join ?5736 ?5736)) (meet ?5736 (join ?5735 (join ?5736 ?5736))) [5736, 5735] by Demod 6424 with 6362 at 2,2,2,1,2,2
Id : 6426, {_}: join (meet (meet (meet ?5735 ?5736) (meet ?5736 (join ?5735 ?5736))) (meet (meet ?5735 ?5736) ?5736)) (meet (meet (meet ?5735 ?5736) (meet ?5736 (join ?5735 ?5736))) (meet ?5735 ?5736)) =>= meet (meet ?5735 (join ?5736 ?5736)) (meet ?5736 (join ?5735 (join ?5736 ?5736))) [5736, 5735] by Demod 6425 with 6362 at 2,2,2,2
Id : 6427, {_}: join (meet (meet (meet ?5735 ?5736) (meet ?5736 (join ?5735 ?5736))) (meet (meet ?5735 ?5736) ?5736)) (meet (meet (meet ?5735 ?5736) (meet ?5736 (join ?5735 ?5736))) (meet ?5735 ?5736)) =>= meet (meet ?5735 ?5736) (meet ?5736 (join ?5735 (join ?5736 ?5736))) [5736, 5735] by Demod 6426 with 6362 at 2,1,3
Id : 6428, {_}: join (meet (meet (meet ?5735 ?5736) (meet ?5736 (join ?5735 ?5736))) (meet (meet ?5735 ?5736) ?5736)) (meet (meet (meet ?5735 ?5736) (meet ?5736 (join ?5735 ?5736))) (meet ?5735 ?5736)) =>= meet (meet ?5735 ?5736) (meet ?5736 (join ?5735 ?5736)) [5736, 5735] by Demod 6427 with 6362 at 2,2,2,3
Id : 6775, {_}: join (meet (meet (meet (meet (join ?9617 ?9618) ?9617) ?9617) (meet ?9617 (join (meet (join ?9617 ?9618) ?9617) ?9617))) (meet (meet (meet (join ?9617 ?9618) ?9617) ?9617) ?9617)) (meet (meet (meet (meet (join ?9617 ?9618) ?9617) ?9617) (meet ?9617 (join (meet (join ?9617 ?9618) ?9617) ?9617))) ?9617) =>= meet (meet (meet (join ?9617 ?9618) ?9617) ?9617) (meet ?9617 (join (meet (join ?9617 ?9618) ?9617) ?9617)) [9618, 9617] by Super 6428 with 6673 at 2,2,2
Id : 6876, {_}: join (meet (meet ?9617 (meet ?9617 (join (meet (join ?9617 ?9618) ?9617) ?9617))) (meet (meet (meet (join ?9617 ?9618) ?9617) ?9617) ?9617)) (meet (meet (meet (meet (join ?9617 ?9618) ?9617) ?9617) (meet ?9617 (join (meet (join ?9617 ?9618) ?9617) ?9617))) ?9617) =>= meet (meet (meet (join ?9617 ?9618) ?9617) ?9617) (meet ?9617 (join (meet (join ?9617 ?9618) ?9617) ?9617)) [9618, 9617] by Demod 6775 with 6673 at 1,1,1,2
Id : 6877, {_}: join (meet (meet ?9617 (meet ?9617 (join (meet (join ?9617 ?9618) ?9617) ?9617))) (meet ?9617 ?9617)) (meet (meet (meet (meet (join ?9617 ?9618) ?9617) ?9617) (meet ?9617 (join (meet (join ?9617 ?9618) ?9617) ?9617))) ?9617) =>= meet (meet (meet (join ?9617 ?9618) ?9617) ?9617) (meet ?9617 (join (meet (join ?9617 ?9618) ?9617) ?9617)) [9618, 9617] by Demod 6876 with 6673 at 1,2,1,2
Id : 6878, {_}: join (meet (meet ?9617 (meet ?9617 (join (meet (join ?9617 ?9618) ?9617) ?9617))) (meet ?9617 ?9617)) (meet (meet ?9617 (meet ?9617 (join (meet (join ?9617 ?9618) ?9617) ?9617))) ?9617) =>= meet (meet (meet (join ?9617 ?9618) ?9617) ?9617) (meet ?9617 (join (meet (join ?9617 ?9618) ?9617) ?9617)) [9618, 9617] by Demod 6877 with 6673 at 1,1,2,2
Id : 6879, {_}: join (meet (meet ?9617 (meet ?9617 (join (meet (join ?9617 ?9618) ?9617) ?9617))) (meet ?9617 ?9617)) (meet (meet ?9617 (meet ?9617 (join (meet (join ?9617 ?9618) ?9617) ?9617))) ?9617) =>= meet ?9617 (meet ?9617 (join (meet (join ?9617 ?9618) ?9617) ?9617)) [9618, 9617] by Demod 6878 with 6673 at 1,3
Id : 4928, {_}: meet ?7768 (join ?7769 ?7768) =<= meet ?7768 (meet ?7768 (join ?7769 ?7768)) [7769, 7768] by Demod 4856 with 4805 at 1,3
Id : 6880, {_}: join (meet (meet ?9617 (join (meet (join ?9617 ?9618) ?9617) ?9617)) (meet ?9617 ?9617)) (meet (meet ?9617 (meet ?9617 (join (meet (join ?9617 ?9618) ?9617) ?9617))) ?9617) =>= meet ?9617 (meet ?9617 (join (meet (join ?9617 ?9618) ?9617) ?9617)) [9618, 9617] by Demod 6879 with 4928 at 1,1,2
Id : 6881, {_}: join (meet (meet ?9617 (join (meet (join ?9617 ?9618) ?9617) ?9617)) ?9617) (meet (meet ?9617 (meet ?9617 (join (meet (join ?9617 ?9618) ?9617) ?9617))) ?9617) =>= meet ?9617 (meet ?9617 (join (meet (join ?9617 ?9618) ?9617) ?9617)) [9618, 9617] by Demod 6880 with 6435 at 2,1,2
Id : 6882, {_}: join (meet (meet ?9617 (join (meet (join ?9617 ?9618) ?9617) ?9617)) ?9617) (meet (meet ?9617 (join (meet (join ?9617 ?9618) ?9617) ?9617)) ?9617) =>= meet ?9617 (meet ?9617 (join (meet (join ?9617 ?9618) ?9617) ?9617)) [9618, 9617] by Demod 6881 with 4928 at 1,2,2
Id : 6883, {_}: join (meet (meet ?9617 (join (meet (join ?9617 ?9618) ?9617) ?9617)) ?9617) (meet (meet ?9617 (join (meet (join ?9617 ?9618) ?9617) ?9617)) ?9617) =>= meet ?9617 (join (meet (join ?9617 ?9618) ?9617) ?9617) [9618, 9617] by Demod 6882 with 4928 at 3
Id : 6884, {_}: meet (meet ?9617 (join (meet (join ?9617 ?9618) ?9617) ?9617)) ?9617 =>= meet ?9617 (join (meet (join ?9617 ?9618) ?9617) ?9617) [9618, 9617] by Demod 6883 with 6362 at 2
Id : 6885, {_}: ?9617 =<= meet ?9617 (join (meet (join ?9617 ?9618) ?9617) ?9617) [9618, 9617] by Demod 6884 with 4805 at 2
Id : 7621, {_}: ?10564 =<= join (join (meet ?10565 ?10564) ?10564) ?10564 [10565, 10564] by Super 6510 with 6885 at 2,1,3
Id : 7775, {_}: join (meet (meet (join (meet ?10668 ?10669) ?10669) ?10669) (meet ?10669 ?10669)) (meet (meet (join (meet ?10668 ?10669) ?10669) ?10669) ?10669) =>= meet (join (meet ?10668 ?10669) ?10669) ?10669 [10669, 10668] by Super 6420 with 7621 at 2,2,1,2
Id : 7797, {_}: join (meet (meet (join (meet ?10668 ?10669) ?10669) ?10669) ?10669) (meet (meet (join (meet ?10668 ?10669) ?10669) ?10669) ?10669) =>= meet (join (meet ?10668 ?10669) ?10669) ?10669 [10669, 10668] by Demod 7775 with 6435 at 2,1,2
Id : 5287, {_}: join ?8300 ?8300 =<= meet (meet (join ?8301 (join ?8300 ?8300)) ?8300) (join ?8300 ?8300) [8301, 8300] by Super 5276 with 4678 at 2,1,3
Id : 6430, {_}: ?8300 =<= meet (meet (join ?8301 (join ?8300 ?8300)) ?8300) (join ?8300 ?8300) [8301, 8300] by Demod 5287 with 6362 at 2
Id : 6431, {_}: ?8300 =<= meet (meet (join ?8301 ?8300) ?8300) (join ?8300 ?8300) [8301, 8300] by Demod 6430 with 6362 at 2,1,1,3
Id : 6432, {_}: ?8300 =<= meet (meet (join ?8301 ?8300) ?8300) ?8300 [8301, 8300] by Demod 6431 with 6362 at 2,3
Id : 7798, {_}: join (meet (meet (join (meet ?10668 ?10669) ?10669) ?10669) ?10669) ?10669 =>= meet (join (meet ?10668 ?10669) ?10669) ?10669 [10669, 10668] by Demod 7797 with 6432 at 2,2
Id : 7799, {_}: join ?10669 ?10669 =<= meet (join (meet ?10668 ?10669) ?10669) ?10669 [10668, 10669] by Demod 7798 with 6432 at 1,2
Id : 7800, {_}: ?10669 =<= meet (join (meet ?10668 ?10669) ?10669) ?10669 [10668, 10669] by Demod 7799 with 6362 at 2
Id : 7890, {_}: join ?10746 (meet (join (meet ?10747 ?10746) ?10746) (join (join (meet ?10747 ?10746) ?10746) ?10746)) =>= join (meet ?10747 ?10746) ?10746 [10747, 10746] by Super 1542 with 7800 at 1,2
Id : 8044, {_}: join ?10746 (meet (join (meet ?10747 ?10746) ?10746) ?10746) =>= join (meet ?10747 ?10746) ?10746 [10747, 10746] by Demod 7890 with 7621 at 2,2,2
Id : 8045, {_}: ?10746 =<= join (meet ?10747 ?10746) ?10746 [10747, 10746] by Demod 8044 with 6447 at 2
Id : 8118, {_}: join (meet (meet ?10849 ?10850) ?10850) (meet (meet ?10849 ?10850) ?10850) =>= meet ?10849 ?10850 [10850, 10849] by Super 1542 with 8045 at 2,2,2
Id : 8166, {_}: meet (meet ?10849 ?10850) ?10850 =>= meet ?10849 ?10850 [10850, 10849] by Demod 8118 with 6362 at 2
Id : 8210, {_}: ?9610 =<= meet (join ?9610 ?9611) ?9610 [9611, 9610] by Demod 6673 with 8166 at 3
Id : 8593, {_}: ?11185 =<= join (meet (meet (join ?11187 (join ?11185 ?11188)) (join ?11189 ?11185)) ?11185) (meet ?11185 ?11186) [11186, 11189, 11188, 11187, 11185] by Demod 8437 with 8210 at 2
Id : 8594, {_}: ?11185 =<= join ?11185 (meet ?11185 ?11186) [11186, 11185] by Demod 8593 with 4640 at 1,3
Id : 8714, {_}: a === a [] by Demod 1 with 8594 at 2
Id :   1, {_}: join a (meet a b) =>= a [] by prove_normal_axioms_8
% SZS output end CNFRefutation for LAT087-1.p
12046: solved LAT087-1.p in 19.561222 using nrkbo
!! infer_left                                      48    0.0001    0.0000    0.0000
!! infer_right                                     49   80.2851   21.1689    1.6385
!! simplify_goal                                   49    0.0021    0.0004    0.0000
!! keep_simplified                                 75    0.1266    0.0117    0.0017
!! simplification_step                            112    0.1261    0.0041    0.0011
!! simplify                                      3183   72.7510    0.7916    0.0229
!! orphan_murder                                  124    0.0032    0.0001    0.0000
!! is_subsumed                                   2729    1.3735    0.3073    0.0005
!! build_new_clause                              1998    7.5174    0.4032    0.0038
!! demodulate                                    3151   71.3670    0.7862    0.0226
!! demod                                       509908   42.0933    0.4082    0.0001
!! demod.apply_subst                            13330    1.0290    0.3002    0.0001
!! demod.retrieve_generalizations              509908   35.3943    0.4082    0.0001
!! demod.unify                                  48639    1.5278    0.4081    0.0000
!! build_clause                                  8663   29.1567    0.4030    0.0034
!! compare_terms(nrkbo)                          8665   14.3735    0.4024    0.0017
!! compare_terms(nrkbo)                             2    0.0001    0.0001    0.0000
12078: Facts:
12078:  Id :   2, {_}:
          join (meet (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4)
            (meet
              (join (meet ?2 (join (join (meet ?3 ?5) (meet ?6 ?3)) ?3))
                (meet
                  (join (meet ?3 (meet (meet (join ?3 ?5) (join ?6 ?3)) ?3))
                    (meet ?7
                      (join ?3 (meet (meet (join ?3 ?5) (join ?6 ?3)) ?3))))
                  (join ?2 (join (join (meet ?3 ?5) (meet ?6 ?3)) ?3))))
              (join (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4))
          =>=
          ?3
          [7, 6, 5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5 ?6 ?7
12078: Goal:
12078:  Id :   1, {_}: meet a a =>= a [] by prove_wal_axioms_1
Statistics :
Max weight : 2918
Found proof, 73.610206s
% SZS status Unsatisfiable for LAT092-1.p
% SZS output start CNFRefutation for LAT092-1.p
Id :   2, {_}: join (meet (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4) (meet (join (meet ?2 (join (join (meet ?3 ?5) (meet ?6 ?3)) ?3)) (meet (join (meet ?3 (meet (meet (join ?3 ?5) (join ?6 ?3)) ?3)) (meet ?7 (join ?3 (meet (meet (join ?3 ?5) (join ?6 ?3)) ?3)))) (join ?2 (join (join (meet ?3 ?5) (meet ?6 ?3)) ?3)))) (join (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4)) =>= ?3 [7, 6, 5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5 ?6 ?7
Id :   3, {_}: join (meet (join (meet ?9 ?10) (meet ?10 (join ?9 ?10))) ?11) (meet (join (meet ?9 (join (join (meet ?10 ?12) (meet ?13 ?10)) ?10)) (meet (join (meet ?10 (meet (meet (join ?10 ?12) (join ?13 ?10)) ?10)) (meet ?14 (join ?10 (meet (meet (join ?10 ?12) (join ?13 ?10)) ?10)))) (join ?9 (join (join (meet ?10 ?12) (meet ?13 ?10)) ?10)))) (join (join (meet ?9 ?10) (meet ?10 (join ?9 ?10))) ?11)) =>= ?10 [14, 13, 12, 11, 10, 9] by single_axiom ?9 ?10 ?11 ?12 ?13 ?14
Id :  31, {_}: join (meet (join (meet ?205 (join (meet ?206 ?207) (meet ?207 (join ?206 ?207)))) (meet (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))) (join ?205 (join (meet ?206 ?207) (meet ?207 (join ?206 ?207)))))) ?208) (meet (join (meet ?205 (join (join (meet (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))) ?209) (meet ?210 (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))))) (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))))) (meet ?207 (join ?205 (join (join (meet (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))) ?209) (meet ?210 (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))))) (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))))))) (join (join (meet ?205 (join (meet ?206 ?207) (meet ?207 (join ?206 ?207)))) (meet (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))) (join ?205 (join (meet ?206 ?207) (meet ?207 (join ?206 ?207)))))) ?208)) =>= join (meet ?206 ?207) (meet ?207 (join ?206 ?207)) [210, 209, 208, 207, 206, 205] by Super 3 with 2 at 1,2,1,2,2
Id :  34, {_}: join (meet (join (meet ?234 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))))) (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))))))) ?240) (meet (join (meet ?234 (join (join (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) ?241) (meet ?242 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))))) (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join ?234 (join (join (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) ?241) (meet ?242 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))))) (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 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?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [242, 241, 240, 239, 238, 237, 236, 235, 234] by Super 31 with 2 at 2,2,2,1,2,2,2
Id : 116, {_}: join (meet (join (meet ?234 ?236) (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) 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?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [242, 241, 240, 239, 238, 237, 235, 236, 234] by Demod 34 with 2 at 2,1,1,1,2
Id : 117, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 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(meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 ?236))) ?240)) =>= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [242, 241, 240, 239, 238, 237, 235, 236, 234] by Demod 116 with 2 at 1,2,1,1,2
Id : 118, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet 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(join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 ?236))) ?240)) =>= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet 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Id : 119, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 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(meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 118 with 2 at 1,1,1,2,1,1,2,2
Id : 120, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join 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Id : 121, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join ?234 (join (join (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) 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?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 120 with 2 at 2,2,1,1,2,2
Id : 122, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join ?234 (join (join (meet ?236 ?241) (meet ?242 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))))) (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))))))) (join (join (meet ?234 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))))) (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 ?236))) ?240)) =>= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 121 with 2 at 1,1,1,2,2,2,1,2,2
Id : 123, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))))))) (join (join (meet ?234 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))))) (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 ?236))) ?240)) =>= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 122 with 2 at 2,2,1,2,2,2,1,2,2
Id : 124, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)))) (join (join (meet ?234 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))))) (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 ?236))) ?240)) =>= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 123 with 2 at 2,2,2,2,1,2,2
Id : 125, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)))) (join (join (meet ?234 ?236) (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 ?236))) ?240)) =>= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 124 with 2 at 2,1,1,2,2,2
Id : 126, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)))) (join (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240)) =?= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 125 with 2 at 1,2,1,2,2,2
Id : 702, {_}: join (meet (join (meet ?1187 ?1188) (meet ?1188 (join ?1187 ?1188))) ?1189) (meet (join (meet ?1187 (join (join (meet ?1188 ?1190) (meet ?1191 ?1188)) ?1188)) (meet (join (meet ?1192 (join (join (meet ?1188 ?1193) (meet ?1194 ?1188)) ?1188)) (meet (join (meet ?1188 (meet (meet (join ?1188 ?1193) (join ?1194 ?1188)) ?1188)) (meet ?1195 (join ?1188 (meet (meet (join ?1188 ?1193) (join ?1194 ?1188)) ?1188)))) (join ?1192 (join (join (meet ?1188 ?1193) (meet ?1194 ?1188)) ?1188)))) (join ?1187 (join (join (meet ?1188 ?1190) (meet ?1191 ?1188)) ?1188)))) (join (join (meet ?1187 ?1188) (meet ?1188 (join ?1187 ?1188))) ?1189)) =>= ?1188 [1195, 1194, 1193, 1192, 1191, 1190, 1189, 1188, 1187] by Demod 126 with 2 at 3
Id : 1101, {_}: join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1978) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1978)) =>= ?1977 [1978, 1977, 1976] by Super 702 with 2 at 1,2,2
Id : 724, {_}: join (meet (join (meet (join (meet ?1495 ?1496) (meet ?1496 (join ?1495 ?1496))) ?1496) (meet ?1496 (join (join (meet ?1495 ?1496) (meet ?1496 (join ?1495 ?1496))) ?1496))) ?1497) (meet ?1496 (join (join (meet (join (meet ?1495 ?1496) (meet ?1496 (join ?1495 ?1496))) ?1496) (meet ?1496 (join (join (meet ?1495 ?1496) (meet ?1496 (join ?1495 ?1496))) ?1496))) ?1497)) =>= ?1496 [1497, 1496, 1495] by Super 702 with 2 at 1,2,2
Id : 1118, {_}: join (meet (join (meet (join (meet (join (meet ?2100 ?2101) (meet ?2101 (join ?2100 ?2101))) ?2101) (meet ?2101 (join (join (meet ?2100 ?2101) (meet ?2101 (join ?2100 ?2101))) ?2101))) ?2101) (meet ?2101 (join (join (meet (join (meet ?2100 ?2101) (meet ?2101 (join ?2100 ?2101))) ?2101) (meet ?2101 (join (join (meet ?2100 ?2101) (meet ?2101 (join ?2100 ?2101))) ?2101))) ?2101))) ?2102) (meet ?2101 (join ?2101 ?2102)) =>= ?2101 [2102, 2101, 2100] by Super 1101 with 724 at 1,2,2,2
Id : 1490, {_}: join (meet ?2101 ?2102) (meet ?2101 (join ?2101 ?2102)) =>= ?2101 [2102, 2101] by Demod 1118 with 724 at 1,1,2
Id : 1594, {_}: join (meet ?2599 ?2600) (meet ?2599 (join ?2599 ?2600)) =>= ?2599 [2600, 2599] by Demod 1118 with 724 at 1,1,2
Id : 1599, {_}: join (meet (meet ?2630 ?2631) (meet ?2630 (join ?2630 ?2631))) (meet (meet ?2630 ?2631) ?2630) =>= meet ?2630 ?2631 [2631, 2630] by Super 1594 with 1490 at 2,2,2
Id :  10, {_}: join (meet (join (meet ?81 (join (meet ?82 ?83) (meet ?83 (join ?82 ?83)))) (meet (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))) (join ?81 (join (meet ?82 ?83) (meet ?83 (join ?82 ?83)))))) ?84) (meet (join (meet ?81 (join (join (meet (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))) ?85) (meet ?86 (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))))) (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))))) (meet ?83 (join ?81 (join (join (meet (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))) ?85) (meet ?86 (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))))) (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))))))) (join (join (meet ?81 (join (meet ?82 ?83) (meet ?83 (join ?82 ?83)))) (meet (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))) (join ?81 (join (meet ?82 ?83) (meet ?83 (join ?82 ?83)))))) ?84)) =>= join (meet ?82 ?83) (meet ?83 (join ?82 ?83)) [86, 85, 84, 83, 82, 81] by Super 3 with 2 at 1,2,1,2,2
Id : 1054, {_}: join (meet (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))))) ?1599) (meet (join (meet ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1601, 1600, 1599, 1598, 1597, 1596] by Super 10 with 724 at 2,2,2,1,2,2,2
Id : 1166, {_}: join (meet (join (meet ?1596 ?1598) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))))) ?1599) (meet (join (meet ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1601, 1600, 1599, 1597, 1598, 1596] by Demod 1054 with 724 at 2,1,1,1,2
Id : 1167, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))))) ?1599) (meet (join (meet ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1601, 1600, 1599, 1597, 1598, 1596] by Demod 1166 with 724 at 1,2,1,1,2
Id : 1168, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1601, 1600, 1597, 1599, 1598, 1596] by Demod 1167 with 724 at 2,2,2,1,1,2
Id : 1169, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1168 with 724 at 1,1,1,2,1,1,2,2
Id : 1170, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1169 with 724 at 2,2,1,2,1,1,2,2
Id : 1171, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1170 with 724 at 2,2,1,1,2,2
Id : 1172, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1171 with 724 at 1,1,1,2,2,2,1,2,2
Id : 1173, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1172 with 724 at 2,2,1,2,2,2,1,2,2
Id : 1174, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1173 with 724 at 2,2,2,2,1,2,2
Id : 1175, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)))) (join (join (meet ?1596 ?1598) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1174 with 724 at 2,1,1,2,2,2
Id : 1176, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)))) (join (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599)) =?= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1175 with 724 at 1,2,1,2,2,2
Id : 1177, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)))) (join (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599)) =>= ?1598 [1601, 1600, 1599, 1598, 1596] by Demod 1176 with 724 at 3
Id : 2455, {_}: join (meet (join (meet ?3676 ?3677) (meet ?3677 (join ?3676 ?3677))) ?3678) (meet (join (meet ?3676 (join (join (meet ?3677 ?3679) (meet ?3680 ?3677)) ?3677)) (meet ?3677 (join ?3676 (join (join (meet ?3677 ?3679) (meet ?3680 ?3677)) ?3677)))) (join (join (meet ?3676 ?3677) (meet ?3677 (join ?3676 ?3677))) ?3678)) =>= ?3677 [3680, 3679, 3678, 3677, 3676] by Demod 1176 with 724 at 3
Id : 2468, {_}: join (meet (join (meet (join (meet ?3785 ?3786) (meet ?3786 (join ?3785 ?3786))) (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786))))) (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) (join (join (meet ?3785 ?3786) (meet ?3786 (join ?3785 ?3786))) (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786))))))) ?3789) (meet (join (meet (join (meet ?3785 ?3786) (meet ?3786 (join ?3785 ?3786))) (join (join (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) ?3790) (meet ?3791 (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))) (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))) (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) (join (join (meet ?3785 ?3786) (meet ?3786 (join ?3785 ?3786))) (join (join (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) ?3790) (meet ?3791 (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))) (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))))) (join ?3786 ?3789)) =>= join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786))) [3791, 3790, 3789, 3788, 3787, 3786, 3785] by Super 2455 with 1177 at 1,2,2,2
Id : 2844, {_}: join (meet ?3786 ?3789) (meet (join (meet (join (meet ?3785 ?3786) (meet ?3786 (join ?3785 ?3786))) (join (join (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) ?3790) (meet ?3791 (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))) (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))) (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) (join (join (meet ?3785 ?3786) (meet ?3786 (join ?3785 ?3786))) (join (join (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) ?3790) (meet ?3791 (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))) (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))))) (join ?3786 ?3789)) =>= join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786))) [3791, 3790, 3788, 3787, 3785, 3789, 3786] by Demod 2468 with 1177 at 1,1,2
Id : 2845, {_}: join (meet ?3786 ?3789) (meet ?3786 (join ?3786 ?3789)) =?= join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786))) [3788, 3787, 3785, 3789, 3786] by Demod 2844 with 1177 at 1,2,2
Id : 2846, {_}: ?3786 =<= join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786))) [3788, 3787, 3785, 3786] by Demod 2845 with 1490 at 2
Id : 2892, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet ?1598 (join (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599)) =>= ?1598 [1599, 1598, 1596] by Demod 1177 with 2846 at 1,2,2
Id : 2917, {_}: join (meet ?4140 (join (join (meet ?4141 ?4142) (meet ?4143 ?4141)) ?4141)) (meet (join (meet ?4141 (meet (meet (join ?4141 ?4142) (join ?4143 ?4141)) ?4141)) (meet ?4144 (join ?4141 (meet (meet (join ?4141 ?4142) (join ?4143 ?4141)) ?4141)))) (join ?4140 (join (join (meet ?4141 ?4142) (meet ?4143 ?4141)) ?4141))) =>= ?4141 [4144, 4143, 4142, 4141, 4140] by Super 2 with 2846 at 2
Id : 3327, {_}: ?4574 =<= join (meet ?4574 (meet (meet (join ?4574 ?4575) (join ?4576 ?4574)) ?4574)) (meet ?4577 (join ?4574 (meet (meet (join ?4574 ?4575) (join ?4576 ?4574)) ?4574))) [4577, 4576, 4575, 4574] by Super 2892 with 2917 at 2
Id : 3603, {_}: join (meet ?5256 ?5257) (meet ?5257 (join ?5256 ?5257)) =>= ?5257 [5257, 5256] by Super 2892 with 3327 at 2
Id : 3994, {_}: ?5513 =<= meet (meet (join ?5513 ?5514) (join ?5515 ?5513)) ?5513 [5515, 5514, 5513] by Super 3327 with 3603 at 3
Id : 4017, {_}: join ?5557 (meet ?5557 (join (meet (join ?5557 ?5558) (join ?5559 ?5557)) ?5557)) =>= ?5557 [5559, 5558, 5557] by Super 3603 with 3994 at 1,2
Id : 4299, {_}: ?6141 =<= meet (meet ?6141 (join ?6142 ?6141)) ?6141 [6142, 6141] by Super 3994 with 4017 at 1,1,3
Id : 4014, {_}: ?4574 =<= join (meet ?4574 ?4574) (meet ?4577 (join ?4574 (meet (meet (join ?4574 ?4575) (join ?4576 ?4574)) ?4574))) [4576, 4575, 4577, 4574] by Demod 3327 with 3994 at 2,1,3
Id : 4015, {_}: ?4574 =<= join (meet ?4574 ?4574) (meet ?4577 (join ?4574 ?4574)) [4577, 4574] by Demod 4014 with 3994 at 2,2,2,3
Id : 5114, {_}: meet ?7036 (join ?7037 ?7037) =<= meet (meet (meet ?7036 (join ?7037 ?7037)) ?7037) (meet ?7036 (join ?7037 ?7037)) [7037, 7036] by Super 4299 with 4015 at 2,1,3
Id : 4016, {_}: ?5555 =<= join (meet ?5555 ?5555) (join ?5555 ?5555) [5555] by Super 4015 with 3994 at 2,3
Id : 4107, {_}: meet ?5754 ?5754 =<= meet (meet ?5754 (join ?5755 (meet ?5754 ?5754))) (meet ?5754 ?5754) [5755, 5754] by Super 3994 with 4016 at 1,1,3
Id : 5124, {_}: meet ?7066 (join (meet ?7066 ?7066) (meet ?7066 ?7066)) =<= meet (meet ?7066 ?7066) (meet ?7066 (join (meet ?7066 ?7066) (meet ?7066 ?7066))) [7066] by Super 5114 with 4107 at 1,3
Id : 4250, {_}: join ?5957 (meet ?5957 (join (meet (join ?5957 ?5958) (join ?5959 ?5957)) ?5957)) =>= ?5957 [5959, 5958, 5957] by Super 3603 with 3994 at 1,2
Id : 4265, {_}: join ?6023 (meet ?6023 (join (meet ?6023 (join ?6024 ?6023)) ?6023)) =>= ?6023 [6024, 6023] by Super 4250 with 4017 at 1,1,2,2,2
Id : 4601, {_}: join (meet ?6429 (meet ?6429 (join (meet ?6429 (join ?6430 ?6429)) ?6429))) (meet (meet ?6429 (join (meet ?6429 (join ?6430 ?6429)) ?6429)) ?6429) =>= meet ?6429 (join (meet ?6429 (join ?6430 ?6429)) ?6429) [6430, 6429] by Super 3603 with 4265 at 2,2,2
Id : 4304, {_}: meet ?6158 (join ?6159 ?6158) =<= meet (meet (meet ?6158 (join ?6159 ?6158)) ?6158) (meet ?6158 (join ?6159 ?6158)) [6159, 6158] by Super 4299 with 3603 at 2,1,3
Id : 4244, {_}: ?5934 =<= meet (meet ?5934 (join ?5935 ?5934)) ?5934 [5935, 5934] by Super 3994 with 4017 at 1,1,3
Id : 4357, {_}: meet ?6158 (join ?6159 ?6158) =<= meet ?6158 (meet ?6158 (join ?6159 ?6158)) [6159, 6158] by Demod 4304 with 4244 at 1,3
Id : 4627, {_}: join (meet ?6429 (join (meet ?6429 (join ?6430 ?6429)) ?6429)) (meet (meet ?6429 (join (meet ?6429 (join ?6430 ?6429)) ?6429)) ?6429) =>= meet ?6429 (join (meet ?6429 (join ?6430 ?6429)) ?6429) [6430, 6429] by Demod 4601 with 4357 at 1,2
Id : 4628, {_}: join (meet ?6429 (join (meet ?6429 (join ?6430 ?6429)) ?6429)) ?6429 =>= meet ?6429 (join (meet ?6429 (join ?6430 ?6429)) ?6429) [6430, 6429] by Demod 4627 with 4244 at 2,2
Id : 1972, {_}: join (meet (meet (meet ?2837 ?2838) (meet ?2837 (join ?2837 ?2838))) (meet (meet ?2837 ?2838) ?2837)) (meet (meet (meet ?2837 ?2838) (meet ?2837 (join ?2837 ?2838))) (meet ?2837 ?2838)) =>= meet (meet ?2837 ?2838) (meet ?2837 (join ?2837 ?2838)) [2838, 2837] by Super 1490 with 1599 at 2,2,2
Id : 4599, {_}: join (meet ?6423 (meet ?6423 (join (meet ?6423 (join ?6424 ?6423)) ?6423))) (meet ?6423 ?6423) =>= ?6423 [6424, 6423] by Super 1490 with 4265 at 2,2,2
Id : 4633, {_}: join (meet ?6423 (join (meet ?6423 (join ?6424 ?6423)) ?6423)) (meet ?6423 ?6423) =>= ?6423 [6424, 6423] by Demod 4599 with 4357 at 1,2
Id : 5646, {_}: meet ?7542 ?7542 =<= meet (meet ?7542 ?7542) (meet ?7542 ?7542) [7542] by Super 4107 with 4633 at 2,1,3
Id : 5765, {_}: join (meet (meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet ?7691 ?7691))) (meet (meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet ?7691 ?7691)) =>= meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) [7691] by Super 1972 with 5646 at 2,2,2
Id : 5836, {_}: join (meet (meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet ?7691 ?7691))) (meet (meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet ?7691 ?7691)) =>= meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) [7691] by Demod 5765 with 5646 at 1,1,1,2
Id : 5837, {_}: join (meet (meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet (meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet ?7691 ?7691)) =>= meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) [7691] by Demod 5836 with 5646 at 1,2,1,2
Id : 5838, {_}: join (meet (meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet (meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet ?7691 ?7691)) =>= meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) [7691] by Demod 5837 with 5646 at 1,1,2,2
Id : 5839, {_}: join (meet (meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet (meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet ?7691 ?7691)) =>= meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) [7691] by Demod 5838 with 5646 at 1,3
Id : 5840, {_}: join (meet (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet (meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet ?7691 ?7691)) =>= meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) [7691] by Demod 5839 with 4357 at 1,1,2
Id : 5841, {_}: join (meet (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet ?7691 ?7691)) (meet (meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet ?7691 ?7691)) =>= meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) [7691] by Demod 5840 with 5646 at 2,1,2
Id : 5842, {_}: join (meet (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet ?7691 ?7691)) (meet (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet ?7691 ?7691)) =>= meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) [7691] by Demod 5841 with 4357 at 1,2,2
Id : 5843, {_}: join (meet (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet ?7691 ?7691)) (meet (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet ?7691 ?7691)) =>= meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)) [7691] by Demod 5842 with 4357 at 3
Id : 5844, {_}: join (meet ?7691 ?7691) (meet (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet ?7691 ?7691)) =>= meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)) [7691] by Demod 5843 with 4244 at 1,2
Id : 5845, {_}: join (meet ?7691 ?7691) (meet ?7691 ?7691) =<= meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)) [7691] by Demod 5844 with 4244 at 2,2
Id : 6090, {_}: join (join (meet ?7953 ?7953) (meet ?7953 ?7953)) (meet (meet ?7953 ?7953) (join (meet ?7953 ?7953) (join (meet ?7953 ?7953) (meet ?7953 ?7953)))) =>= meet ?7953 ?7953 [7953] by Super 1490 with 5845 at 1,2
Id : 5775, {_}: meet ?7723 ?7723 =<= join (meet ?7723 ?7723) (join (meet ?7723 ?7723) (meet ?7723 ?7723)) [7723] by Super 4016 with 5646 at 1,3
Id : 6158, {_}: join (join (meet ?7953 ?7953) (meet ?7953 ?7953)) (meet (meet ?7953 ?7953) (meet ?7953 ?7953)) =>= meet ?7953 ?7953 [7953] by Demod 6090 with 5775 at 2,2,2
Id : 6159, {_}: join (join (meet ?7953 ?7953) (meet ?7953 ?7953)) (meet ?7953 ?7953) =>= meet ?7953 ?7953 [7953] by Demod 6158 with 5646 at 2,2
Id : 6371, {_}: join (meet (meet ?8123 ?8123) (join (meet (meet ?8123 ?8123) (meet ?8123 ?8123)) (meet ?8123 ?8123))) (meet ?8123 ?8123) =<= meet (meet ?8123 ?8123) (join (meet (meet ?8123 ?8123) (join (join (meet ?8123 ?8123) (meet ?8123 ?8123)) (meet ?8123 ?8123))) (meet ?8123 ?8123)) [8123] by Super 4628 with 6159 at 2,1,2,1,2
Id : 6404, {_}: join (meet (meet ?8123 ?8123) (join (meet ?8123 ?8123) (meet ?8123 ?8123))) (meet ?8123 ?8123) =<= meet (meet ?8123 ?8123) (join (meet (meet ?8123 ?8123) (join (join (meet ?8123 ?8123) (meet ?8123 ?8123)) (meet ?8123 ?8123))) (meet ?8123 ?8123)) [8123] by Demod 6371 with 5646 at 1,2,1,2
Id : 6405, {_}: join (meet (meet ?8123 ?8123) (join (meet ?8123 ?8123) (meet ?8123 ?8123))) (meet ?8123 ?8123) =<= meet (meet ?8123 ?8123) (join (meet (meet ?8123 ?8123) (meet ?8123 ?8123)) (meet ?8123 ?8123)) [8123] by Demod 6404 with 6159 at 2,1,2,3
Id : 6406, {_}: join (join (meet ?8123 ?8123) (meet ?8123 ?8123)) (meet ?8123 ?8123) =<= meet (meet ?8123 ?8123) (join (meet (meet ?8123 ?8123) (meet ?8123 ?8123)) (meet ?8123 ?8123)) [8123] by Demod 6405 with 5845 at 1,2
Id : 6407, {_}: join (join (meet ?8123 ?8123) (meet ?8123 ?8123)) (meet ?8123 ?8123) =<= meet (meet ?8123 ?8123) (join (meet ?8123 ?8123) (meet ?8123 ?8123)) [8123] by Demod 6406 with 5646 at 1,2,3
Id : 6408, {_}: meet ?8123 ?8123 =<= meet (meet ?8123 ?8123) (join (meet ?8123 ?8123) (meet ?8123 ?8123)) [8123] by Demod 6407 with 6159 at 2
Id : 6409, {_}: meet ?8123 ?8123 =<= join (meet ?8123 ?8123) (meet ?8123 ?8123) [8123] by Demod 6408 with 5845 at 3
Id : 7067, {_}: meet ?7066 (meet ?7066 ?7066) =<= meet (meet ?7066 ?7066) (meet ?7066 (join (meet ?7066 ?7066) (meet ?7066 ?7066))) [7066] by Demod 5124 with 6409 at 2,2
Id : 7068, {_}: meet ?7066 (meet ?7066 ?7066) =<= meet (meet ?7066 ?7066) (meet ?7066 (meet ?7066 ?7066)) [7066] by Demod 7067 with 6409 at 2,2,3
Id : 7080, {_}: join (meet (meet (meet ?8706 ?8706) (meet ?8706 (meet ?8706 ?8706))) (meet (meet ?8706 ?8706) (join (meet ?8706 ?8706) (meet ?8706 (meet ?8706 ?8706))))) (meet (meet ?8706 (meet ?8706 ?8706)) (meet ?8706 ?8706)) =>= meet (meet ?8706 ?8706) (meet ?8706 (meet ?8706 ?8706)) [8706] by Super 1599 with 7068 at 1,2,2
Id : 7097, {_}: join (meet (meet ?8706 (meet ?8706 ?8706)) (meet (meet ?8706 ?8706) (join (meet ?8706 ?8706) (meet ?8706 (meet ?8706 ?8706))))) (meet (meet ?8706 (meet ?8706 ?8706)) (meet ?8706 ?8706)) =>= meet (meet ?8706 ?8706) (meet ?8706 (meet ?8706 ?8706)) [8706] by Demod 7080 with 7068 at 1,1,2
Id : 6508, {_}: meet ?8193 ?8193 =<= join (meet (meet ?8193 ?8193) (meet ?8193 ?8193)) (meet ?8194 (meet ?8193 ?8193)) [8194, 8193] by Super 4015 with 6409 at 2,2,3
Id : 6644, {_}: meet ?8193 ?8193 =<= join (meet ?8193 ?8193) (meet ?8194 (meet ?8193 ?8193)) [8194, 8193] by Demod 6508 with 5646 at 1,3
Id : 7098, {_}: join (meet (meet ?8706 (meet ?8706 ?8706)) (meet (meet ?8706 ?8706) (meet ?8706 ?8706))) (meet (meet ?8706 (meet ?8706 ?8706)) (meet ?8706 ?8706)) =>= meet (meet ?8706 ?8706) (meet ?8706 (meet ?8706 ?8706)) [8706] by Demod 7097 with 6644 at 2,2,1,2
Id : 6520, {_}: meet ?8223 ?8223 =<= meet (meet ?8223 (meet ?8223 ?8223)) (meet ?8223 ?8223) [8223] by Super 4107 with 6409 at 2,1,3
Id : 7099, {_}: join (meet (meet ?8706 (meet ?8706 ?8706)) (meet (meet ?8706 ?8706) (meet ?8706 ?8706))) (meet ?8706 ?8706) =>= meet (meet ?8706 ?8706) (meet ?8706 (meet ?8706 ?8706)) [8706] by Demod 7098 with 6520 at 2,2
Id : 7100, {_}: join (meet (meet ?8706 (meet ?8706 ?8706)) (meet (meet ?8706 ?8706) (meet ?8706 ?8706))) (meet ?8706 ?8706) =>= meet ?8706 (meet ?8706 ?8706) [8706] by Demod 7099 with 7068 at 3
Id : 7101, {_}: join (meet (meet ?8706 (meet ?8706 ?8706)) (meet ?8706 ?8706)) (meet ?8706 ?8706) =>= meet ?8706 (meet ?8706 ?8706) [8706] by Demod 7100 with 5646 at 2,1,2
Id : 7102, {_}: join (meet ?8706 ?8706) (meet ?8706 ?8706) =>= meet ?8706 (meet ?8706 ?8706) [8706] by Demod 7101 with 6520 at 1,2
Id : 7103, {_}: meet ?8706 ?8706 =<= meet ?8706 (meet ?8706 ?8706) [8706] by Demod 7102 with 6409 at 2
Id : 7221, {_}: join (meet ?8760 ?8760) (meet ?8760 (join ?8760 (meet ?8760 ?8760))) =>= ?8760 [8760] by Super 1490 with 7103 at 1,2
Id : 4105, {_}: join (meet (meet ?5749 ?5749) (join ?5749 ?5749)) (meet (join ?5749 ?5749) ?5749) =>= join ?5749 ?5749 [5749] by Super 3603 with 4016 at 2,2,2
Id : 5654, {_}: ?7568 =<= join (meet ?7569 (join (join (meet ?7568 (join (meet ?7568 (join ?7570 ?7568)) ?7568)) (meet ?7568 ?7568)) ?7568)) (meet ?7568 (join ?7569 (join ?7568 ?7568))) [7570, 7569, 7568] by Super 2846 with 4633 at 1,2,2,2,3
Id : 5717, {_}: ?7568 =<= join (meet ?7569 (join ?7568 ?7568)) (meet ?7568 (join ?7569 (join ?7568 ?7568))) [7569, 7568] by Demod 5654 with 4633 at 1,2,1,3
Id : 8505, {_}: join ?9550 ?9550 =>= ?9550 [9550] by Super 4015 with 5717 at 3
Id : 8587, {_}: join (meet (meet ?5749 ?5749) ?5749) (meet (join ?5749 ?5749) ?5749) =>= join ?5749 ?5749 [5749] by Demod 4105 with 8505 at 2,1,2
Id : 8588, {_}: join (meet (meet ?5749 ?5749) ?5749) (meet ?5749 ?5749) =>= join ?5749 ?5749 [5749] by Demod 8587 with 8505 at 1,2,2
Id : 8589, {_}: join (meet (meet ?5749 ?5749) ?5749) (meet ?5749 ?5749) =>= ?5749 [5749] by Demod 8588 with 8505 at 3
Id : 4106, {_}: join ?5751 ?5751 =<= meet (meet (join (join ?5751 ?5751) ?5752) ?5751) (join ?5751 ?5751) [5752, 5751] by Super 3994 with 4016 at 2,1,3
Id : 4242, {_}: join ?5927 ?5927 =<= meet (meet (join ?5927 ?5927) ?5927) (join ?5927 ?5927) [5927] by Super 4106 with 4017 at 1,1,3
Id : 8576, {_}: ?5927 =<= meet (meet (join ?5927 ?5927) ?5927) (join ?5927 ?5927) [5927] by Demod 4242 with 8505 at 2
Id : 8577, {_}: ?5927 =<= meet (meet ?5927 ?5927) (join ?5927 ?5927) [5927] by Demod 8576 with 8505 at 1,1,3
Id : 8578, {_}: ?5927 =<= meet (meet ?5927 ?5927) ?5927 [5927] by Demod 8577 with 8505 at 2,3
Id : 8604, {_}: join ?5749 (meet ?5749 ?5749) =>= ?5749 [5749] by Demod 8589 with 8578 at 1,2
Id : 8605, {_}: join (meet ?8760 ?8760) (meet ?8760 ?8760) =>= ?8760 [8760] by Demod 7221 with 8604 at 2,2,2
Id : 8606, {_}: meet ?8760 ?8760 =>= ?8760 [8760] by Demod 8605 with 8505 at 2
Id : 8811, {_}: a === a [] by Demod 1 with 8606 at 2
Id :   1, {_}: meet a a =>= a [] by prove_wal_axioms_1
% SZS output end CNFRefutation for LAT092-1.p
12081: solved LAT092-1.p in 17.29308 using nrkbo
!! infer_left                                      52    0.0001    0.0000    0.0000
!! infer_right                                     53   72.5999   22.2678    1.3698
!! simplify_goal                                   53    0.0015    0.0003    0.0000
!! keep_simplified                                 98    0.4693    0.3033    0.0048
!! simplification_step                            136    0.4687    0.3033    0.0034
!! simplify                                      3578   65.0030    0.9771    0.0182
!! orphan_murder                                  121    0.0030    0.0001    0.0000
!! is_subsumed                                   3035    1.1068    0.4015    0.0004
!! build_new_clause                              1940    7.3169    0.4159    0.0038
!! demodulate                                    3553   63.8813    0.9707    0.0180
!! demod                                       440042   34.6025    0.4044    0.0001
!! demod.apply_subst                            13632    0.8216    0.4002    0.0001
!! demod.retrieve_generalizations              440042   30.0174    0.4044    0.0001
!! demod.unify                                  44511    1.2798    0.3002    0.0000
!! build_clause                                  8756   29.6825    0.4098    0.0034
!! compare_terms(nrkbo)                          8758   13.4325    0.4041    0.0015
!! compare_terms(nrkbo)                             2    0.0001    0.0001    0.0000
12113: Facts:
12113:  Id :   2, {_}:
          join (meet (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4)
            (meet
              (join (meet ?2 (join (join (meet ?3 ?5) (meet ?6 ?3)) ?3))
                (meet
                  (join (meet ?3 (meet (meet (join ?3 ?5) (join ?6 ?3)) ?3))
                    (meet ?7
                      (join ?3 (meet (meet (join ?3 ?5) (join ?6 ?3)) ?3))))
                  (join ?2 (join (join (meet ?3 ?5) (meet ?6 ?3)) ?3))))
              (join (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4))
          =>=
          ?3
          [7, 6, 5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5 ?6 ?7
12113: Goal:
12113:  Id :   1, {_}: meet b a =<= meet a b [] by prove_wal_axioms_2
Statistics :
Max weight : 2918
Found proof, 88.383880s
% SZS status Unsatisfiable for LAT093-1.p
% SZS output start CNFRefutation for LAT093-1.p
Id :   2, {_}: join (meet (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4) (meet (join (meet ?2 (join (join (meet ?3 ?5) (meet ?6 ?3)) ?3)) (meet (join (meet ?3 (meet (meet (join ?3 ?5) (join ?6 ?3)) ?3)) (meet ?7 (join ?3 (meet (meet (join ?3 ?5) (join ?6 ?3)) ?3)))) (join ?2 (join (join (meet ?3 ?5) (meet ?6 ?3)) ?3)))) (join (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4)) =>= ?3 [7, 6, 5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5 ?6 ?7
Id :   3, {_}: join (meet (join (meet ?9 ?10) (meet ?10 (join ?9 ?10))) ?11) (meet (join (meet ?9 (join (join (meet ?10 ?12) (meet ?13 ?10)) ?10)) (meet (join (meet ?10 (meet (meet (join ?10 ?12) (join ?13 ?10)) ?10)) (meet ?14 (join ?10 (meet (meet (join ?10 ?12) (join ?13 ?10)) ?10)))) (join ?9 (join (join (meet ?10 ?12) (meet ?13 ?10)) ?10)))) (join (join (meet ?9 ?10) (meet ?10 (join ?9 ?10))) ?11)) =>= ?10 [14, 13, 12, 11, 10, 9] by single_axiom ?9 ?10 ?11 ?12 ?13 ?14
Id :  31, {_}: join (meet (join (meet ?205 (join (meet ?206 ?207) (meet ?207 (join ?206 ?207)))) (meet (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))) (join ?205 (join (meet ?206 ?207) (meet ?207 (join ?206 ?207)))))) ?208) (meet (join (meet ?205 (join (join (meet (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))) ?209) (meet ?210 (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))))) (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))))) (meet ?207 (join ?205 (join (join (meet (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))) ?209) (meet ?210 (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))))) (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))))))) (join (join (meet ?205 (join (meet ?206 ?207) (meet ?207 (join ?206 ?207)))) (meet (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))) (join ?205 (join (meet ?206 ?207) (meet ?207 (join ?206 ?207)))))) ?208)) =>= join (meet ?206 ?207) (meet ?207 (join ?206 ?207)) [210, 209, 208, 207, 206, 205] by Super 3 with 2 at 1,2,1,2,2
Id :  34, {_}: join (meet (join (meet ?234 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))))) (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) 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?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [242, 241, 240, 239, 238, 237, 236, 235, 234] by Super 31 with 2 at 2,2,2,1,2,2,2
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?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 ?236))) ?240)) =>= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [242, 241, 240, 239, 238, 237, 235, 236, 234] by Demod 34 with 2 at 2,1,1,1,2
Id : 117, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 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(meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 ?236))) ?240)) =>= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [242, 241, 240, 239, 238, 237, 235, 236, 234] by Demod 116 with 2 at 1,2,1,1,2
Id : 118, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet 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(meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 118 with 2 at 1,1,1,2,1,1,2,2
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(join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 ?236))) ?240)) =>= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 119 with 2 at 2,2,1,2,1,1,2,2
Id : 121, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join ?234 (join (join (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) ?241) (meet ?242 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join 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(meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 ?236))) ?240)) =>= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 120 with 2 at 2,2,1,1,2,2
Id : 122, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join ?234 (join (join (meet ?236 ?241) (meet ?242 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) 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?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))))) (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 ?236))) ?240)) =>= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 121 with 2 at 1,1,1,2,2,2,1,2,2
Id : 123, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))))))) (join (join (meet ?234 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))))) (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 ?236))) ?240)) =>= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 122 with 2 at 2,2,1,2,2,2,1,2,2
Id : 124, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)))) (join (join (meet ?234 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))))) (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 ?236))) ?240)) =>= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 123 with 2 at 2,2,2,2,1,2,2
Id : 125, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)))) (join (join (meet ?234 ?236) (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 ?236))) ?240)) =>= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 124 with 2 at 2,1,1,2,2,2
Id : 126, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)))) (join (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240)) =?= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 125 with 2 at 1,2,1,2,2,2
Id : 702, {_}: join (meet (join (meet ?1187 ?1188) (meet ?1188 (join ?1187 ?1188))) ?1189) (meet (join (meet ?1187 (join (join (meet ?1188 ?1190) (meet ?1191 ?1188)) ?1188)) (meet (join (meet ?1192 (join (join (meet ?1188 ?1193) (meet ?1194 ?1188)) ?1188)) (meet (join (meet ?1188 (meet (meet (join ?1188 ?1193) (join ?1194 ?1188)) ?1188)) (meet ?1195 (join ?1188 (meet (meet (join ?1188 ?1193) (join ?1194 ?1188)) ?1188)))) (join ?1192 (join (join (meet ?1188 ?1193) (meet ?1194 ?1188)) ?1188)))) (join ?1187 (join (join (meet ?1188 ?1190) (meet ?1191 ?1188)) ?1188)))) (join (join (meet ?1187 ?1188) (meet ?1188 (join ?1187 ?1188))) ?1189)) =>= ?1188 [1195, 1194, 1193, 1192, 1191, 1190, 1189, 1188, 1187] by Demod 126 with 2 at 3
Id : 1101, {_}: join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1978) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1978)) =>= ?1977 [1978, 1977, 1976] by Super 702 with 2 at 1,2,2
Id : 724, {_}: join (meet (join (meet (join (meet ?1495 ?1496) (meet ?1496 (join ?1495 ?1496))) ?1496) (meet ?1496 (join (join (meet ?1495 ?1496) (meet ?1496 (join ?1495 ?1496))) ?1496))) ?1497) (meet ?1496 (join (join (meet (join (meet ?1495 ?1496) (meet ?1496 (join ?1495 ?1496))) ?1496) (meet ?1496 (join (join (meet ?1495 ?1496) (meet ?1496 (join ?1495 ?1496))) ?1496))) ?1497)) =>= ?1496 [1497, 1496, 1495] by Super 702 with 2 at 1,2,2
Id : 1118, {_}: join (meet (join (meet (join (meet (join (meet ?2100 ?2101) (meet ?2101 (join ?2100 ?2101))) ?2101) (meet ?2101 (join (join (meet ?2100 ?2101) (meet ?2101 (join ?2100 ?2101))) ?2101))) ?2101) (meet ?2101 (join (join (meet (join (meet ?2100 ?2101) (meet ?2101 (join ?2100 ?2101))) ?2101) (meet ?2101 (join (join (meet ?2100 ?2101) (meet ?2101 (join ?2100 ?2101))) ?2101))) ?2101))) ?2102) (meet ?2101 (join ?2101 ?2102)) =>= ?2101 [2102, 2101, 2100] by Super 1101 with 724 at 1,2,2,2
Id : 1490, {_}: join (meet ?2101 ?2102) (meet ?2101 (join ?2101 ?2102)) =>= ?2101 [2102, 2101] by Demod 1118 with 724 at 1,1,2
Id :  10, {_}: join (meet (join (meet ?81 (join (meet ?82 ?83) (meet ?83 (join ?82 ?83)))) (meet (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))) (join ?81 (join (meet ?82 ?83) (meet ?83 (join ?82 ?83)))))) ?84) (meet (join (meet ?81 (join (join (meet (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))) ?85) (meet ?86 (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))))) (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))))) (meet ?83 (join ?81 (join (join (meet (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))) ?85) (meet ?86 (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))))) (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))))))) (join (join (meet ?81 (join (meet ?82 ?83) (meet ?83 (join ?82 ?83)))) (meet (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))) (join ?81 (join (meet ?82 ?83) (meet ?83 (join ?82 ?83)))))) ?84)) =>= join (meet ?82 ?83) (meet ?83 (join ?82 ?83)) [86, 85, 84, 83, 82, 81] by Super 3 with 2 at 1,2,1,2,2
Id : 1054, {_}: join (meet (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))))) ?1599) (meet (join (meet ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1601, 1600, 1599, 1598, 1597, 1596] by Super 10 with 724 at 2,2,2,1,2,2,2
Id : 1166, {_}: join (meet (join (meet ?1596 ?1598) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))))) ?1599) (meet (join (meet ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1601, 1600, 1599, 1597, 1598, 1596] by Demod 1054 with 724 at 2,1,1,1,2
Id : 1167, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))))) ?1599) (meet (join (meet ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1601, 1600, 1599, 1597, 1598, 1596] by Demod 1166 with 724 at 1,2,1,1,2
Id : 1168, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1601, 1600, 1597, 1599, 1598, 1596] by Demod 1167 with 724 at 2,2,2,1,1,2
Id : 1169, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1168 with 724 at 1,1,1,2,1,1,2,2
Id : 1170, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1169 with 724 at 2,2,1,2,1,1,2,2
Id : 1171, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1170 with 724 at 2,2,1,1,2,2
Id : 1172, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1171 with 724 at 1,1,1,2,2,2,1,2,2
Id : 1173, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1172 with 724 at 2,2,1,2,2,2,1,2,2
Id : 1174, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1173 with 724 at 2,2,2,2,1,2,2
Id : 1175, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)))) (join (join (meet ?1596 ?1598) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1174 with 724 at 2,1,1,2,2,2
Id : 1176, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)))) (join (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599)) =?= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1175 with 724 at 1,2,1,2,2,2
Id : 1177, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)))) (join (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599)) =>= ?1598 [1601, 1600, 1599, 1598, 1596] by Demod 1176 with 724 at 3
Id : 2455, {_}: join (meet (join (meet ?3676 ?3677) (meet ?3677 (join ?3676 ?3677))) ?3678) (meet (join (meet ?3676 (join (join (meet ?3677 ?3679) (meet ?3680 ?3677)) ?3677)) (meet ?3677 (join ?3676 (join (join (meet ?3677 ?3679) (meet ?3680 ?3677)) ?3677)))) (join (join (meet ?3676 ?3677) (meet ?3677 (join ?3676 ?3677))) ?3678)) =>= ?3677 [3680, 3679, 3678, 3677, 3676] by Demod 1176 with 724 at 3
Id : 2468, {_}: join (meet (join (meet (join (meet ?3785 ?3786) (meet ?3786 (join ?3785 ?3786))) (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786))))) (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) (join (join (meet ?3785 ?3786) (meet ?3786 (join ?3785 ?3786))) (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786))))))) ?3789) (meet (join (meet (join (meet ?3785 ?3786) (meet ?3786 (join ?3785 ?3786))) (join (join (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) ?3790) (meet ?3791 (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))) (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))) (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) (join (join (meet ?3785 ?3786) (meet ?3786 (join ?3785 ?3786))) (join (join (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) ?3790) (meet ?3791 (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))) (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))))) (join ?3786 ?3789)) =>= join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786))) [3791, 3790, 3789, 3788, 3787, 3786, 3785] by Super 2455 with 1177 at 1,2,2,2
Id : 2844, {_}: join (meet ?3786 ?3789) (meet (join (meet (join (meet ?3785 ?3786) (meet ?3786 (join ?3785 ?3786))) (join (join (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) ?3790) (meet ?3791 (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))) (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))) (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) (join (join (meet ?3785 ?3786) (meet ?3786 (join ?3785 ?3786))) (join (join (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) ?3790) (meet ?3791 (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))) (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))))) (join ?3786 ?3789)) =>= join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786))) [3791, 3790, 3788, 3787, 3785, 3789, 3786] by Demod 2468 with 1177 at 1,1,2
Id : 2845, {_}: join (meet ?3786 ?3789) (meet ?3786 (join ?3786 ?3789)) =?= join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786))) [3788, 3787, 3785, 3789, 3786] by Demod 2844 with 1177 at 1,2,2
Id : 2846, {_}: ?3786 =<= join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786))) [3788, 3787, 3785, 3786] by Demod 2845 with 1490 at 2
Id : 2892, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet ?1598 (join (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599)) =>= ?1598 [1599, 1598, 1596] by Demod 1177 with 2846 at 1,2,2
Id : 2917, {_}: join (meet ?4140 (join (join (meet ?4141 ?4142) (meet ?4143 ?4141)) ?4141)) (meet (join (meet ?4141 (meet (meet (join ?4141 ?4142) (join ?4143 ?4141)) ?4141)) (meet ?4144 (join ?4141 (meet (meet (join ?4141 ?4142) (join ?4143 ?4141)) ?4141)))) (join ?4140 (join (join (meet ?4141 ?4142) (meet ?4143 ?4141)) ?4141))) =>= ?4141 [4144, 4143, 4142, 4141, 4140] by Super 2 with 2846 at 2
Id : 3327, {_}: ?4574 =<= join (meet ?4574 (meet (meet (join ?4574 ?4575) (join ?4576 ?4574)) ?4574)) (meet ?4577 (join ?4574 (meet (meet (join ?4574 ?4575) (join ?4576 ?4574)) ?4574))) [4577, 4576, 4575, 4574] by Super 2892 with 2917 at 2
Id : 3603, {_}: join (meet ?5256 ?5257) (meet ?5257 (join ?5256 ?5257)) =>= ?5257 [5257, 5256] by Super 2892 with 3327 at 2
Id : 3994, {_}: ?5513 =<= meet (meet (join ?5513 ?5514) (join ?5515 ?5513)) ?5513 [5515, 5514, 5513] by Super 3327 with 3603 at 3
Id : 4017, {_}: join ?5557 (meet ?5557 (join (meet (join ?5557 ?5558) (join ?5559 ?5557)) ?5557)) =>= ?5557 [5559, 5558, 5557] by Super 3603 with 3994 at 1,2
Id : 4299, {_}: ?6141 =<= meet (meet ?6141 (join ?6142 ?6141)) ?6141 [6142, 6141] by Super 3994 with 4017 at 1,1,3
Id : 4014, {_}: ?4574 =<= join (meet ?4574 ?4574) (meet ?4577 (join ?4574 (meet (meet (join ?4574 ?4575) (join ?4576 ?4574)) ?4574))) [4576, 4575, 4577, 4574] by Demod 3327 with 3994 at 2,1,3
Id : 4015, {_}: ?4574 =<= join (meet ?4574 ?4574) (meet ?4577 (join ?4574 ?4574)) [4577, 4574] by Demod 4014 with 3994 at 2,2,2,3
Id : 5114, {_}: meet ?7036 (join ?7037 ?7037) =<= meet (meet (meet ?7036 (join ?7037 ?7037)) ?7037) (meet ?7036 (join ?7037 ?7037)) [7037, 7036] by Super 4299 with 4015 at 2,1,3
Id : 5213, {_}: meet (join ?7149 ?7150) (join ?7149 ?7149) =<= meet ?7149 (meet (join ?7149 ?7150) (join ?7149 ?7149)) [7150, 7149] by Super 5114 with 3994 at 1,3
Id : 5218, {_}: meet (join (meet ?7166 ?7167) (meet ?7167 (join ?7166 ?7167))) (join (meet ?7166 ?7167) (meet ?7166 ?7167)) =>= meet (meet ?7166 ?7167) (meet ?7167 (join (meet ?7166 ?7167) (meet ?7166 ?7167))) [7167, 7166] by Super 5213 with 3603 at 1,2,3
Id : 5280, {_}: meet ?7167 (join (meet ?7166 ?7167) (meet ?7166 ?7167)) =<= meet (meet ?7166 ?7167) (meet ?7167 (join (meet ?7166 ?7167) (meet ?7166 ?7167))) [7166, 7167] by Demod 5218 with 3603 at 1,2
Id : 4250, {_}: join ?5957 (meet ?5957 (join (meet (join ?5957 ?5958) (join ?5959 ?5957)) ?5957)) =>= ?5957 [5959, 5958, 5957] by Super 3603 with 3994 at 1,2
Id : 4265, {_}: join ?6023 (meet ?6023 (join (meet ?6023 (join ?6024 ?6023)) ?6023)) =>= ?6023 [6024, 6023] by Super 4250 with 4017 at 1,1,2,2,2
Id : 4599, {_}: join (meet ?6423 (meet ?6423 (join (meet ?6423 (join ?6424 ?6423)) ?6423))) (meet ?6423 ?6423) =>= ?6423 [6424, 6423] by Super 1490 with 4265 at 2,2,2
Id : 4304, {_}: meet ?6158 (join ?6159 ?6158) =<= meet (meet (meet ?6158 (join ?6159 ?6158)) ?6158) (meet ?6158 (join ?6159 ?6158)) [6159, 6158] by Super 4299 with 3603 at 2,1,3
Id : 4244, {_}: ?5934 =<= meet (meet ?5934 (join ?5935 ?5934)) ?5934 [5935, 5934] by Super 3994 with 4017 at 1,1,3
Id : 4357, {_}: meet ?6158 (join ?6159 ?6158) =<= meet ?6158 (meet ?6158 (join ?6159 ?6158)) [6159, 6158] by Demod 4304 with 4244 at 1,3
Id : 4633, {_}: join (meet ?6423 (join (meet ?6423 (join ?6424 ?6423)) ?6423)) (meet ?6423 ?6423) =>= ?6423 [6424, 6423] by Demod 4599 with 4357 at 1,2
Id : 5654, {_}: ?7568 =<= join (meet ?7569 (join (join (meet ?7568 (join (meet ?7568 (join ?7570 ?7568)) ?7568)) (meet ?7568 ?7568)) ?7568)) (meet ?7568 (join ?7569 (join ?7568 ?7568))) [7570, 7569, 7568] by Super 2846 with 4633 at 1,2,2,2,3
Id : 5717, {_}: ?7568 =<= join (meet ?7569 (join ?7568 ?7568)) (meet ?7568 (join ?7569 (join ?7568 ?7568))) [7569, 7568] by Demod 5654 with 4633 at 1,2,1,3
Id : 8505, {_}: join ?9550 ?9550 =>= ?9550 [9550] by Super 4015 with 5717 at 3
Id : 8599, {_}: meet ?7167 (meet ?7166 ?7167) =<= meet (meet ?7166 ?7167) (meet ?7167 (join (meet ?7166 ?7167) (meet ?7166 ?7167))) [7166, 7167] by Demod 5280 with 8505 at 2,2
Id : 8600, {_}: meet ?7167 (meet ?7166 ?7167) =<= meet (meet ?7166 ?7167) (meet ?7167 (meet ?7166 ?7167)) [7166, 7167] by Demod 8599 with 8505 at 2,2,3
Id : 1594, {_}: join (meet ?2599 ?2600) (meet ?2599 (join ?2599 ?2600)) =>= ?2599 [2600, 2599] by Demod 1118 with 724 at 1,1,2
Id : 1599, {_}: join (meet (meet ?2630 ?2631) (meet ?2630 (join ?2630 ?2631))) (meet (meet ?2630 ?2631) ?2630) =>= meet ?2630 ?2631 [2631, 2630] by Super 1594 with 1490 at 2,2,2
Id : 8580, {_}: ?4574 =<= join (meet ?4574 ?4574) (meet ?4577 ?4574) [4577, 4574] by Demod 4015 with 8505 at 2,2,3
Id : 4016, {_}: ?5555 =<= join (meet ?5555 ?5555) (join ?5555 ?5555) [5555] by Super 4015 with 3994 at 2,3
Id : 4107, {_}: meet ?5754 ?5754 =<= meet (meet ?5754 (join ?5755 (meet ?5754 ?5754))) (meet ?5754 ?5754) [5755, 5754] by Super 3994 with 4016 at 1,1,3
Id : 5124, {_}: meet ?7066 (join (meet ?7066 ?7066) (meet ?7066 ?7066)) =<= meet (meet ?7066 ?7066) (meet ?7066 (join (meet ?7066 ?7066) (meet ?7066 ?7066))) [7066] by Super 5114 with 4107 at 1,3
Id : 4601, {_}: join (meet ?6429 (meet ?6429 (join (meet ?6429 (join ?6430 ?6429)) ?6429))) (meet (meet ?6429 (join (meet ?6429 (join ?6430 ?6429)) ?6429)) ?6429) =>= meet ?6429 (join (meet ?6429 (join ?6430 ?6429)) ?6429) [6430, 6429] by Super 3603 with 4265 at 2,2,2
Id : 4627, {_}: join (meet ?6429 (join (meet ?6429 (join ?6430 ?6429)) ?6429)) (meet (meet ?6429 (join (meet ?6429 (join ?6430 ?6429)) ?6429)) ?6429) =>= meet ?6429 (join (meet ?6429 (join ?6430 ?6429)) ?6429) [6430, 6429] by Demod 4601 with 4357 at 1,2
Id : 4628, {_}: join (meet ?6429 (join (meet ?6429 (join ?6430 ?6429)) ?6429)) ?6429 =>= meet ?6429 (join (meet ?6429 (join ?6430 ?6429)) ?6429) [6430, 6429] by Demod 4627 with 4244 at 2,2
Id : 1972, {_}: join (meet (meet (meet ?2837 ?2838) (meet ?2837 (join ?2837 ?2838))) (meet (meet ?2837 ?2838) ?2837)) (meet (meet (meet ?2837 ?2838) (meet ?2837 (join ?2837 ?2838))) (meet ?2837 ?2838)) =>= meet (meet ?2837 ?2838) (meet ?2837 (join ?2837 ?2838)) [2838, 2837] by Super 1490 with 1599 at 2,2,2
Id : 5646, {_}: meet ?7542 ?7542 =<= meet (meet ?7542 ?7542) (meet ?7542 ?7542) [7542] by Super 4107 with 4633 at 2,1,3
Id : 5765, {_}: join (meet (meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet ?7691 ?7691))) (meet (meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet ?7691 ?7691)) =>= meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) [7691] by Super 1972 with 5646 at 2,2,2
Id : 5836, {_}: join (meet (meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet ?7691 ?7691))) (meet (meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet ?7691 ?7691)) =>= meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) [7691] by Demod 5765 with 5646 at 1,1,1,2
Id : 5837, {_}: join (meet (meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet (meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet ?7691 ?7691)) =>= meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) [7691] by Demod 5836 with 5646 at 1,2,1,2
Id : 5838, {_}: join (meet (meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet (meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet ?7691 ?7691)) =>= meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) [7691] by Demod 5837 with 5646 at 1,1,2,2
Id : 5839, {_}: join (meet (meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet (meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet ?7691 ?7691)) =>= meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) [7691] by Demod 5838 with 5646 at 1,3
Id : 5840, {_}: join (meet (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet (meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet ?7691 ?7691)) =>= meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) [7691] by Demod 5839 with 4357 at 1,1,2
Id : 5841, {_}: join (meet (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet ?7691 ?7691)) (meet (meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet ?7691 ?7691)) =>= meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) [7691] by Demod 5840 with 5646 at 2,1,2
Id : 5842, {_}: join (meet (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet ?7691 ?7691)) (meet (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet ?7691 ?7691)) =>= meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) [7691] by Demod 5841 with 4357 at 1,2,2
Id : 5843, {_}: join (meet (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet ?7691 ?7691)) (meet (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet ?7691 ?7691)) =>= meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)) [7691] by Demod 5842 with 4357 at 3
Id : 5844, {_}: join (meet ?7691 ?7691) (meet (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet ?7691 ?7691)) =>= meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)) [7691] by Demod 5843 with 4244 at 1,2
Id : 5845, {_}: join (meet ?7691 ?7691) (meet ?7691 ?7691) =<= meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)) [7691] by Demod 5844 with 4244 at 2,2
Id : 6090, {_}: join (join (meet ?7953 ?7953) (meet ?7953 ?7953)) (meet (meet ?7953 ?7953) (join (meet ?7953 ?7953) (join (meet ?7953 ?7953) (meet ?7953 ?7953)))) =>= meet ?7953 ?7953 [7953] by Super 1490 with 5845 at 1,2
Id : 5775, {_}: meet ?7723 ?7723 =<= join (meet ?7723 ?7723) (join (meet ?7723 ?7723) (meet ?7723 ?7723)) [7723] by Super 4016 with 5646 at 1,3
Id : 6158, {_}: join (join (meet ?7953 ?7953) (meet ?7953 ?7953)) (meet (meet ?7953 ?7953) (meet ?7953 ?7953)) =>= meet ?7953 ?7953 [7953] by Demod 6090 with 5775 at 2,2,2
Id : 6159, {_}: join (join (meet ?7953 ?7953) (meet ?7953 ?7953)) (meet ?7953 ?7953) =>= meet ?7953 ?7953 [7953] by Demod 6158 with 5646 at 2,2
Id : 6371, {_}: join (meet (meet ?8123 ?8123) (join (meet (meet ?8123 ?8123) (meet ?8123 ?8123)) (meet ?8123 ?8123))) (meet ?8123 ?8123) =<= meet (meet ?8123 ?8123) (join (meet (meet ?8123 ?8123) (join (join (meet ?8123 ?8123) (meet ?8123 ?8123)) (meet ?8123 ?8123))) (meet ?8123 ?8123)) [8123] by Super 4628 with 6159 at 2,1,2,1,2
Id : 6404, {_}: join (meet (meet ?8123 ?8123) (join (meet ?8123 ?8123) (meet ?8123 ?8123))) (meet ?8123 ?8123) =<= meet (meet ?8123 ?8123) (join (meet (meet ?8123 ?8123) (join (join (meet ?8123 ?8123) (meet ?8123 ?8123)) (meet ?8123 ?8123))) (meet ?8123 ?8123)) [8123] by Demod 6371 with 5646 at 1,2,1,2
Id : 6405, {_}: join (meet (meet ?8123 ?8123) (join (meet ?8123 ?8123) (meet ?8123 ?8123))) (meet ?8123 ?8123) =<= meet (meet ?8123 ?8123) (join (meet (meet ?8123 ?8123) (meet ?8123 ?8123)) (meet ?8123 ?8123)) [8123] by Demod 6404 with 6159 at 2,1,2,3
Id : 6406, {_}: join (join (meet ?8123 ?8123) (meet ?8123 ?8123)) (meet ?8123 ?8123) =<= meet (meet ?8123 ?8123) (join (meet (meet ?8123 ?8123) (meet ?8123 ?8123)) (meet ?8123 ?8123)) [8123] by Demod 6405 with 5845 at 1,2
Id : 6407, {_}: join (join (meet ?8123 ?8123) (meet ?8123 ?8123)) (meet ?8123 ?8123) =<= meet (meet ?8123 ?8123) (join (meet ?8123 ?8123) (meet ?8123 ?8123)) [8123] by Demod 6406 with 5646 at 1,2,3
Id : 6408, {_}: meet ?8123 ?8123 =<= meet (meet ?8123 ?8123) (join (meet ?8123 ?8123) (meet ?8123 ?8123)) [8123] by Demod 6407 with 6159 at 2
Id : 6409, {_}: meet ?8123 ?8123 =<= join (meet ?8123 ?8123) (meet ?8123 ?8123) [8123] by Demod 6408 with 5845 at 3
Id : 7067, {_}: meet ?7066 (meet ?7066 ?7066) =<= meet (meet ?7066 ?7066) (meet ?7066 (join (meet ?7066 ?7066) (meet ?7066 ?7066))) [7066] by Demod 5124 with 6409 at 2,2
Id : 7068, {_}: meet ?7066 (meet ?7066 ?7066) =<= meet (meet ?7066 ?7066) (meet ?7066 (meet ?7066 ?7066)) [7066] by Demod 7067 with 6409 at 2,2,3
Id : 7080, {_}: join (meet (meet (meet ?8706 ?8706) (meet ?8706 (meet ?8706 ?8706))) (meet (meet ?8706 ?8706) (join (meet ?8706 ?8706) (meet ?8706 (meet ?8706 ?8706))))) (meet (meet ?8706 (meet ?8706 ?8706)) (meet ?8706 ?8706)) =>= meet (meet ?8706 ?8706) (meet ?8706 (meet ?8706 ?8706)) [8706] by Super 1599 with 7068 at 1,2,2
Id : 7097, {_}: join (meet (meet ?8706 (meet ?8706 ?8706)) (meet (meet ?8706 ?8706) (join (meet ?8706 ?8706) (meet ?8706 (meet ?8706 ?8706))))) (meet (meet ?8706 (meet ?8706 ?8706)) (meet ?8706 ?8706)) =>= meet (meet ?8706 ?8706) (meet ?8706 (meet ?8706 ?8706)) [8706] by Demod 7080 with 7068 at 1,1,2
Id : 6508, {_}: meet ?8193 ?8193 =<= join (meet (meet ?8193 ?8193) (meet ?8193 ?8193)) (meet ?8194 (meet ?8193 ?8193)) [8194, 8193] by Super 4015 with 6409 at 2,2,3
Id : 6644, {_}: meet ?8193 ?8193 =<= join (meet ?8193 ?8193) (meet ?8194 (meet ?8193 ?8193)) [8194, 8193] by Demod 6508 with 5646 at 1,3
Id : 7098, {_}: join (meet (meet ?8706 (meet ?8706 ?8706)) (meet (meet ?8706 ?8706) (meet ?8706 ?8706))) (meet (meet ?8706 (meet ?8706 ?8706)) (meet ?8706 ?8706)) =>= meet (meet ?8706 ?8706) (meet ?8706 (meet ?8706 ?8706)) [8706] by Demod 7097 with 6644 at 2,2,1,2
Id : 6520, {_}: meet ?8223 ?8223 =<= meet (meet ?8223 (meet ?8223 ?8223)) (meet ?8223 ?8223) [8223] by Super 4107 with 6409 at 2,1,3
Id : 7099, {_}: join (meet (meet ?8706 (meet ?8706 ?8706)) (meet (meet ?8706 ?8706) (meet ?8706 ?8706))) (meet ?8706 ?8706) =>= meet (meet ?8706 ?8706) (meet ?8706 (meet ?8706 ?8706)) [8706] by Demod 7098 with 6520 at 2,2
Id : 7100, {_}: join (meet (meet ?8706 (meet ?8706 ?8706)) (meet (meet ?8706 ?8706) (meet ?8706 ?8706))) (meet ?8706 ?8706) =>= meet ?8706 (meet ?8706 ?8706) [8706] by Demod 7099 with 7068 at 3
Id : 7101, {_}: join (meet (meet ?8706 (meet ?8706 ?8706)) (meet ?8706 ?8706)) (meet ?8706 ?8706) =>= meet ?8706 (meet ?8706 ?8706) [8706] by Demod 7100 with 5646 at 2,1,2
Id : 7102, {_}: join (meet ?8706 ?8706) (meet ?8706 ?8706) =>= meet ?8706 (meet ?8706 ?8706) [8706] by Demod 7101 with 6520 at 1,2
Id : 7103, {_}: meet ?8706 ?8706 =<= meet ?8706 (meet ?8706 ?8706) [8706] by Demod 7102 with 6409 at 2
Id : 7221, {_}: join (meet ?8760 ?8760) (meet ?8760 (join ?8760 (meet ?8760 ?8760))) =>= ?8760 [8760] by Super 1490 with 7103 at 1,2
Id : 4105, {_}: join (meet (meet ?5749 ?5749) (join ?5749 ?5749)) (meet (join ?5749 ?5749) ?5749) =>= join ?5749 ?5749 [5749] by Super 3603 with 4016 at 2,2,2
Id : 8587, {_}: join (meet (meet ?5749 ?5749) ?5749) (meet (join ?5749 ?5749) ?5749) =>= join ?5749 ?5749 [5749] by Demod 4105 with 8505 at 2,1,2
Id : 8588, {_}: join (meet (meet ?5749 ?5749) ?5749) (meet ?5749 ?5749) =>= join ?5749 ?5749 [5749] by Demod 8587 with 8505 at 1,2,2
Id : 8589, {_}: join (meet (meet ?5749 ?5749) ?5749) (meet ?5749 ?5749) =>= ?5749 [5749] by Demod 8588 with 8505 at 3
Id : 4106, {_}: join ?5751 ?5751 =<= meet (meet (join (join ?5751 ?5751) ?5752) ?5751) (join ?5751 ?5751) [5752, 5751] by Super 3994 with 4016 at 2,1,3
Id : 4242, {_}: join ?5927 ?5927 =<= meet (meet (join ?5927 ?5927) ?5927) (join ?5927 ?5927) [5927] by Super 4106 with 4017 at 1,1,3
Id : 8576, {_}: ?5927 =<= meet (meet (join ?5927 ?5927) ?5927) (join ?5927 ?5927) [5927] by Demod 4242 with 8505 at 2
Id : 8577, {_}: ?5927 =<= meet (meet ?5927 ?5927) (join ?5927 ?5927) [5927] by Demod 8576 with 8505 at 1,1,3
Id : 8578, {_}: ?5927 =<= meet (meet ?5927 ?5927) ?5927 [5927] by Demod 8577 with 8505 at 2,3
Id : 8604, {_}: join ?5749 (meet ?5749 ?5749) =>= ?5749 [5749] by Demod 8589 with 8578 at 1,2
Id : 8605, {_}: join (meet ?8760 ?8760) (meet ?8760 ?8760) =>= ?8760 [8760] by Demod 7221 with 8604 at 2,2,2
Id : 8606, {_}: meet ?8760 ?8760 =>= ?8760 [8760] by Demod 8605 with 8505 at 2
Id : 8625, {_}: ?4574 =<= join ?4574 (meet ?4577 ?4574) [4577, 4574] by Demod 8580 with 8606 at 1,3
Id : 8662, {_}: ?9653 =<= join (meet (join (join (meet ?9653 ?9654) (meet ?9655 ?9653)) ?9653) (join (join (meet ?9653 ?9654) (meet ?9655 ?9653)) ?9653)) (meet ?9653 (join (join (meet ?9653 ?9654) (meet ?9655 ?9653)) ?9653)) [9655, 9654, 9653] by Super 2846 with 8505 at 2,2,3
Id : 8767, {_}: ?9653 =<= join (join (join (meet ?9653 ?9654) (meet ?9655 ?9653)) ?9653) (meet ?9653 (join (join (meet ?9653 ?9654) (meet ?9655 ?9653)) ?9653)) [9655, 9654, 9653] by Demod 8662 with 8606 at 1,3
Id : 8768, {_}: ?9653 =<= join (join (meet ?9653 ?9654) (meet ?9655 ?9653)) ?9653 [9655, 9654, 9653] by Demod 8767 with 8625 at 3
Id : 8832, {_}: join (meet (join (meet ?9751 ?9752) (meet ?9753 ?9751)) ?9751) (meet (join (meet ?9751 ?9752) (meet ?9753 ?9751)) ?9751) =>= join (meet ?9751 ?9752) (meet ?9753 ?9751) [9753, 9752, 9751] by Super 1490 with 8768 at 2,2,2
Id : 8936, {_}: meet (join (meet ?9970 ?9971) (meet ?9972 ?9970)) ?9970 =>= join (meet ?9970 ?9971) (meet ?9972 ?9970) [9972, 9971, 9970] by Demod 8832 with 8505 at 2
Id : 8937, {_}: meet (join (meet ?9974 ?9975) ?9974) ?9974 =>= join (meet ?9974 ?9975) (meet ?9974 ?9974) [9975, 9974] by Super 8936 with 8606 at 2,1,2
Id : 9092, {_}: meet (join (meet ?9974 ?9975) ?9974) ?9974 =>= join (meet ?9974 ?9975) ?9974 [9975, 9974] by Demod 8937 with 8606 at 2,3
Id : 9140, {_}: ?10108 =<= join ?10108 (join (meet ?10108 ?10109) ?10108) [10109, 10108] by Super 8625 with 9092 at 2,3
Id : 9413, {_}: join (meet (meet ?10366 (join (meet ?10366 ?10367) ?10366)) (meet ?10366 ?10366)) (meet (meet ?10366 (join (meet ?10366 ?10367) ?10366)) ?10366) =>= meet ?10366 (join (meet ?10366 ?10367) ?10366) [10367, 10366] by Super 1599 with 9140 at 2,2,1,2
Id : 9473, {_}: join (meet (meet ?10366 (join (meet ?10366 ?10367) ?10366)) ?10366) (meet (meet ?10366 (join (meet ?10366 ?10367) ?10366)) ?10366) =>= meet ?10366 (join (meet ?10366 ?10367) ?10366) [10367, 10366] by Demod 9413 with 8606 at 2,1,2
Id : 9474, {_}: join (meet (meet ?10366 (join (meet ?10366 ?10367) ?10366)) ?10366) ?10366 =>= meet ?10366 (join (meet ?10366 ?10367) ?10366) [10367, 10366] by Demod 9473 with 4244 at 2,2
Id : 9475, {_}: join ?10366 ?10366 =<= meet ?10366 (join (meet ?10366 ?10367) ?10366) [10367, 10366] by Demod 9474 with 4244 at 1,2
Id : 9476, {_}: ?10366 =<= meet ?10366 (join (meet ?10366 ?10367) ?10366) [10367, 10366] by Demod 9475 with 8505 at 2
Id : 9701, {_}: meet (join (meet ?10626 ?10627) ?10626) (meet ?10626 (join (meet ?10626 ?10627) ?10626)) =<= meet (meet ?10626 (join (meet ?10626 ?10627) ?10626)) (meet (join (meet ?10626 ?10627) ?10626) ?10626) [10627, 10626] by Super 8600 with 9476 at 2,2,3
Id : 9740, {_}: meet (join (meet ?10626 ?10627) ?10626) ?10626 =<= meet (meet ?10626 (join (meet ?10626 ?10627) ?10626)) (meet (join (meet ?10626 ?10627) ?10626) ?10626) [10627, 10626] by Demod 9701 with 9476 at 2,2
Id : 9741, {_}: meet (join (meet ?10626 ?10627) ?10626) ?10626 =<= meet ?10626 (meet (join (meet ?10626 ?10627) ?10626) ?10626) [10627, 10626] by Demod 9740 with 9476 at 1,3
Id : 9742, {_}: meet (join (meet ?10626 ?10627) ?10626) ?10626 =?= meet ?10626 (join (meet ?10626 ?10627) ?10626) [10627, 10626] by Demod 9741 with 9092 at 2,3
Id : 9743, {_}: join (meet ?10626 ?10627) ?10626 =<= meet ?10626 (join (meet ?10626 ?10627) ?10626) [10627, 10626] by Demod 9742 with 9092 at 2
Id : 9744, {_}: join (meet ?10626 ?10627) ?10626 =>= ?10626 [10627, 10626] by Demod 9743 with 9476 at 3
Id : 9898, {_}: join (meet (meet ?10737 ?10738) ?10737) (meet (meet ?10737 ?10738) ?10737) =>= meet ?10737 ?10738 [10738, 10737] by Super 1490 with 9744 at 2,2,2
Id : 9933, {_}: meet (meet ?10737 ?10738) ?10737 =>= meet ?10737 ?10738 [10738, 10737] by Demod 9898 with 8505 at 2
Id : 10160, {_}: ?10995 =<= join ?10995 (meet ?10995 ?10996) [10996, 10995] by Super 8625 with 9933 at 2,3
Id : 18660, {_}: meet ?24249 ?24250 =<= meet (meet (join (meet ?24249 ?24250) ?24251) ?24249) (meet ?24249 ?24250) [24251, 24250, 24249] by Super 3994 with 10160 at 2,1,3
Id : 10148, {_}: ?5934 =<= meet ?5934 (join ?5935 ?5934) [5935, 5934] by Demod 4244 with 9933 at 3
Id : 10149, {_}: join (meet ?5256 ?5257) ?5257 =>= ?5257 [5257, 5256] by Demod 3603 with 10148 at 2,2
Id : 18724, {_}: meet ?24541 ?24542 =<= meet (meet ?24542 ?24541) (meet ?24541 ?24542) [24542, 24541] by Super 18660 with 10149 at 1,1,3
Id : 19052, {_}: meet (meet ?24692 ?24693) (meet ?24693 ?24692) =<->= meet (meet ?24693 ?24692) (meet ?24692 ?24693) [24693, 24692] by Super 9933 with 18724 at 1,2
Id : 19187, {_}: meet ?24693 ?24692 =<= meet (meet ?24693 ?24692) (meet ?24692 ?24693) [24692, 24693] by Demod 19052 with 18724 at 2
Id : 19188, {_}: meet ?24693 ?24692 =<->= meet ?24692 ?24693 [24692, 24693] by Demod 19187 with 18724 at 3
Id : 19630, {_}: meet b a === meet b a [] by Demod 1 with 19188 at 3
Id :   1, {_}: meet b a =<= meet a b [] by prove_wal_axioms_2
% SZS output end CNFRefutation for LAT093-1.p
12116: solved LAT093-1.p in 18.853178 using nrkbo
!! infer_left                                     110    0.0001    0.0000    0.0000
!! infer_right                                    111   86.1213   25.0859    0.7759
!! simplify_goal                                  111    0.0055    0.0004    0.0000
!! keep_simplified                                212    0.9959    0.4020    0.0047
!! simplification_step                            268    0.9943    0.4020    0.0037
!! simplify                                      9725   78.2409    0.9920    0.0080
!! orphan_murder                                  284    0.0075    0.0001    0.0000
!! is_subsumed                                   6559    2.0830    0.4074    0.0003
!! build_new_clause                              5888    7.5057    0.4135    0.0013
!! demodulate                                    9520   75.8249    0.9872    0.0080
!! demod                                       483466   45.5498    0.4128    0.0001
!! demod.apply_subst                            33178    0.8581    0.4001    0.0000
!! demod.compare_terms                           2986    0.0444    0.0006    0.0000
!! demod.retrieve_generalizations              483466   33.7243    0.4124    0.0001
!! demod.unify                                 139781    4.6955    0.4008    0.0000
!! build_clause                                 19556   31.5016    0.4095    0.0016
!! compare_terms(nrkbo)                         22747   15.5727    0.4090    0.0007
!! compare_terms(nrkbo)                             2    0.0001    0.0001    0.0000
12155: Facts:
12155:  Id :   2, {_}:
          join (meet (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4)
            (meet
              (join (meet ?2 (join (join (meet ?3 ?5) (meet ?6 ?3)) ?3))
                (meet
                  (join (meet ?3 (meet (meet (join ?3 ?5) (join ?6 ?3)) ?3))
                    (meet ?7
                      (join ?3 (meet (meet (join ?3 ?5) (join ?6 ?3)) ?3))))
                  (join ?2 (join (join (meet ?3 ?5) (meet ?6 ?3)) ?3))))
              (join (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4))
          =>=
          ?3
          [7, 6, 5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5 ?6 ?7
12155: Goal:
12155:  Id :   1, {_}: join a a =>= a [] by prove_wal_axioms_3
Statistics :
Max weight : 2918
Found proof, 67.902857s
% SZS status Unsatisfiable for LAT094-1.p
% SZS output start CNFRefutation for LAT094-1.p
Id :   2, {_}: join (meet (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4) (meet (join (meet ?2 (join (join (meet ?3 ?5) (meet ?6 ?3)) ?3)) (meet (join (meet ?3 (meet (meet (join ?3 ?5) (join ?6 ?3)) ?3)) (meet ?7 (join ?3 (meet (meet (join ?3 ?5) (join ?6 ?3)) ?3)))) (join ?2 (join (join (meet ?3 ?5) (meet ?6 ?3)) ?3)))) (join (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4)) =>= ?3 [7, 6, 5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5 ?6 ?7
Id :   3, {_}: join (meet (join (meet ?9 ?10) (meet ?10 (join ?9 ?10))) ?11) (meet (join (meet ?9 (join (join (meet ?10 ?12) (meet ?13 ?10)) ?10)) (meet (join (meet ?10 (meet (meet (join ?10 ?12) (join ?13 ?10)) ?10)) (meet ?14 (join ?10 (meet (meet (join ?10 ?12) (join ?13 ?10)) ?10)))) (join ?9 (join (join (meet ?10 ?12) (meet ?13 ?10)) ?10)))) (join (join (meet ?9 ?10) (meet ?10 (join ?9 ?10))) ?11)) =>= ?10 [14, 13, 12, 11, 10, 9] by single_axiom ?9 ?10 ?11 ?12 ?13 ?14
Id :  10, {_}: join (meet (join (meet ?81 (join (meet ?82 ?83) (meet ?83 (join ?82 ?83)))) (meet (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))) (join ?81 (join (meet ?82 ?83) (meet ?83 (join ?82 ?83)))))) ?84) (meet (join (meet ?81 (join (join (meet (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))) ?85) (meet ?86 (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))))) (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))))) (meet ?83 (join ?81 (join (join (meet (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))) ?85) (meet ?86 (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))))) (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))))))) (join (join (meet ?81 (join (meet ?82 ?83) (meet ?83 (join ?82 ?83)))) (meet (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))) (join ?81 (join (meet ?82 ?83) (meet ?83 (join ?82 ?83)))))) ?84)) =>= join (meet ?82 ?83) (meet ?83 (join ?82 ?83)) [86, 85, 84, 83, 82, 81] by Super 3 with 2 at 1,2,1,2,2
Id :  31, {_}: join (meet (join (meet ?205 (join (meet ?206 ?207) (meet ?207 (join ?206 ?207)))) (meet (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))) (join ?205 (join (meet ?206 ?207) (meet ?207 (join ?206 ?207)))))) ?208) (meet (join (meet ?205 (join (join (meet (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))) ?209) (meet ?210 (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))))) (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))))) (meet ?207 (join ?205 (join (join (meet (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))) ?209) (meet ?210 (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))))) (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))))))) (join (join (meet ?205 (join (meet ?206 ?207) (meet ?207 (join ?206 ?207)))) (meet (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))) (join ?205 (join (meet ?206 ?207) (meet ?207 (join ?206 ?207)))))) ?208)) =>= join (meet ?206 ?207) (meet ?207 (join ?206 ?207)) [210, 209, 208, 207, 206, 205] by Super 3 with 2 at 1,2,1,2,2
Id :  34, {_}: join (meet (join (meet ?234 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))))) (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))))))) ?240) (meet (join (meet ?234 (join (join (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) ?241) (meet ?242 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))))) (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join ?234 (join (join (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) ?241) (meet ?242 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))))) (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))))))) (join (join (meet ?234 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))))) (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 ?236))) ?240)) =>= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [242, 241, 240, 239, 238, 237, 236, 235, 234] by Super 31 with 2 at 2,2,2,1,2,2,2
Id : 116, {_}: join (meet (join (meet ?234 ?236) (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) 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?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [242, 241, 240, 239, 238, 237, 235, 236, 234] by Demod 34 with 2 at 2,1,1,1,2
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(meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 ?236))) ?240)) =>= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [242, 241, 240, 239, 238, 237, 235, 236, 234] by Demod 116 with 2 at 1,2,1,1,2
Id : 118, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet 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Id : 119, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 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(meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 118 with 2 at 1,1,1,2,1,1,2,2
Id : 120, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join 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?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 119 with 2 at 2,2,1,2,1,1,2,2
Id : 121, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join ?234 (join (join (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) 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?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 120 with 2 at 2,2,1,1,2,2
Id : 122, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join ?234 (join (join (meet ?236 ?241) (meet ?242 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) 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(join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))))))) (join (join (meet ?234 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))))) (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 ?236))) ?240)) =>= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 121 with 2 at 1,1,1,2,2,2,1,2,2
Id : 123, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))))))) (join (join (meet ?234 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))))) (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 ?236))) ?240)) =>= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 122 with 2 at 2,2,1,2,2,2,1,2,2
Id : 124, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)))) (join (join (meet ?234 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))))) (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 ?236))) ?240)) =>= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 123 with 2 at 2,2,2,2,1,2,2
Id : 125, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)))) (join (join (meet ?234 ?236) (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 ?236))) ?240)) =>= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 124 with 2 at 2,1,1,2,2,2
Id : 126, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)))) (join (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240)) =?= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 125 with 2 at 1,2,1,2,2,2
Id : 702, {_}: join (meet (join (meet ?1187 ?1188) (meet ?1188 (join ?1187 ?1188))) ?1189) (meet (join (meet ?1187 (join (join (meet ?1188 ?1190) (meet ?1191 ?1188)) ?1188)) (meet (join (meet ?1192 (join (join (meet ?1188 ?1193) (meet ?1194 ?1188)) ?1188)) (meet (join (meet ?1188 (meet (meet (join ?1188 ?1193) (join ?1194 ?1188)) ?1188)) (meet ?1195 (join ?1188 (meet (meet (join ?1188 ?1193) (join ?1194 ?1188)) ?1188)))) (join ?1192 (join (join (meet ?1188 ?1193) (meet ?1194 ?1188)) ?1188)))) (join ?1187 (join (join (meet ?1188 ?1190) (meet ?1191 ?1188)) ?1188)))) (join (join (meet ?1187 ?1188) (meet ?1188 (join ?1187 ?1188))) ?1189)) =>= ?1188 [1195, 1194, 1193, 1192, 1191, 1190, 1189, 1188, 1187] by Demod 126 with 2 at 3
Id : 724, {_}: join (meet (join (meet (join (meet ?1495 ?1496) (meet ?1496 (join ?1495 ?1496))) ?1496) (meet ?1496 (join (join (meet ?1495 ?1496) (meet ?1496 (join ?1495 ?1496))) ?1496))) ?1497) (meet ?1496 (join (join (meet (join (meet ?1495 ?1496) (meet ?1496 (join ?1495 ?1496))) ?1496) (meet ?1496 (join (join (meet ?1495 ?1496) (meet ?1496 (join ?1495 ?1496))) ?1496))) ?1497)) =>= ?1496 [1497, 1496, 1495] by Super 702 with 2 at 1,2,2
Id : 1054, {_}: join (meet (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))))) ?1599) (meet (join (meet ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1601, 1600, 1599, 1598, 1597, 1596] by Super 10 with 724 at 2,2,2,1,2,2,2
Id : 1166, {_}: join (meet (join (meet ?1596 ?1598) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))))) ?1599) (meet (join (meet ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1601, 1600, 1599, 1597, 1598, 1596] by Demod 1054 with 724 at 2,1,1,1,2
Id : 1167, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))))) ?1599) (meet (join (meet ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1601, 1600, 1599, 1597, 1598, 1596] by Demod 1166 with 724 at 1,2,1,1,2
Id : 1168, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1601, 1600, 1597, 1599, 1598, 1596] by Demod 1167 with 724 at 2,2,2,1,1,2
Id : 1169, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1168 with 724 at 1,1,1,2,1,1,2,2
Id : 1170, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1169 with 724 at 2,2,1,2,1,1,2,2
Id : 1171, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1170 with 724 at 2,2,1,1,2,2
Id : 1172, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1171 with 724 at 1,1,1,2,2,2,1,2,2
Id : 1173, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1172 with 724 at 2,2,1,2,2,2,1,2,2
Id : 1174, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1173 with 724 at 2,2,2,2,1,2,2
Id : 1175, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)))) (join (join (meet ?1596 ?1598) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1174 with 724 at 2,1,1,2,2,2
Id : 1176, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)))) (join (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599)) =?= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1175 with 724 at 1,2,1,2,2,2
Id : 1177, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)))) (join (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599)) =>= ?1598 [1601, 1600, 1599, 1598, 1596] by Demod 1176 with 724 at 3
Id : 2455, {_}: join (meet (join (meet ?3676 ?3677) (meet ?3677 (join ?3676 ?3677))) ?3678) (meet (join (meet ?3676 (join (join (meet ?3677 ?3679) (meet ?3680 ?3677)) ?3677)) (meet ?3677 (join ?3676 (join (join (meet ?3677 ?3679) (meet ?3680 ?3677)) ?3677)))) (join (join (meet ?3676 ?3677) (meet ?3677 (join ?3676 ?3677))) ?3678)) =>= ?3677 [3680, 3679, 3678, 3677, 3676] by Demod 1176 with 724 at 3
Id : 2468, {_}: join (meet (join (meet (join (meet ?3785 ?3786) (meet ?3786 (join ?3785 ?3786))) (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786))))) (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) (join (join (meet ?3785 ?3786) (meet ?3786 (join ?3785 ?3786))) (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786))))))) ?3789) (meet (join (meet (join (meet ?3785 ?3786) (meet ?3786 (join ?3785 ?3786))) (join (join (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) ?3790) (meet ?3791 (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))) (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))) (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) (join (join (meet ?3785 ?3786) (meet ?3786 (join ?3785 ?3786))) (join (join (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) ?3790) (meet ?3791 (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))) (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))))) (join ?3786 ?3789)) =>= join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786))) [3791, 3790, 3789, 3788, 3787, 3786, 3785] by Super 2455 with 1177 at 1,2,2,2
Id : 2844, {_}: join (meet ?3786 ?3789) (meet (join (meet (join (meet ?3785 ?3786) (meet ?3786 (join ?3785 ?3786))) (join (join (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) ?3790) (meet ?3791 (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))) (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))) (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) (join (join (meet ?3785 ?3786) (meet ?3786 (join ?3785 ?3786))) (join (join (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) ?3790) (meet ?3791 (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))) (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))))) (join ?3786 ?3789)) =>= join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786))) [3791, 3790, 3788, 3787, 3785, 3789, 3786] by Demod 2468 with 1177 at 1,1,2
Id : 2845, {_}: join (meet ?3786 ?3789) (meet ?3786 (join ?3786 ?3789)) =?= join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786))) [3788, 3787, 3785, 3789, 3786] by Demod 2844 with 1177 at 1,2,2
Id : 1101, {_}: join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1978) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1978)) =>= ?1977 [1978, 1977, 1976] by Super 702 with 2 at 1,2,2
Id : 1118, {_}: join (meet (join (meet (join (meet (join (meet ?2100 ?2101) (meet ?2101 (join ?2100 ?2101))) ?2101) (meet ?2101 (join (join (meet ?2100 ?2101) (meet ?2101 (join ?2100 ?2101))) ?2101))) ?2101) (meet ?2101 (join (join (meet (join (meet ?2100 ?2101) (meet ?2101 (join ?2100 ?2101))) ?2101) (meet ?2101 (join (join (meet ?2100 ?2101) (meet ?2101 (join ?2100 ?2101))) ?2101))) ?2101))) ?2102) (meet ?2101 (join ?2101 ?2102)) =>= ?2101 [2102, 2101, 2100] by Super 1101 with 724 at 1,2,2,2
Id : 1490, {_}: join (meet ?2101 ?2102) (meet ?2101 (join ?2101 ?2102)) =>= ?2101 [2102, 2101] by Demod 1118 with 724 at 1,1,2
Id : 2846, {_}: ?3786 =<= join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786))) [3788, 3787, 3785, 3786] by Demod 2845 with 1490 at 2
Id : 2892, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet ?1598 (join (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599)) =>= ?1598 [1599, 1598, 1596] by Demod 1177 with 2846 at 1,2,2
Id : 2917, {_}: join (meet ?4140 (join (join (meet ?4141 ?4142) (meet ?4143 ?4141)) ?4141)) (meet (join (meet ?4141 (meet (meet (join ?4141 ?4142) (join ?4143 ?4141)) ?4141)) (meet ?4144 (join ?4141 (meet (meet (join ?4141 ?4142) (join ?4143 ?4141)) ?4141)))) (join ?4140 (join (join (meet ?4141 ?4142) (meet ?4143 ?4141)) ?4141))) =>= ?4141 [4144, 4143, 4142, 4141, 4140] by Super 2 with 2846 at 2
Id : 3327, {_}: ?4574 =<= join (meet ?4574 (meet (meet (join ?4574 ?4575) (join ?4576 ?4574)) ?4574)) (meet ?4577 (join ?4574 (meet (meet (join ?4574 ?4575) (join ?4576 ?4574)) ?4574))) [4577, 4576, 4575, 4574] by Super 2892 with 2917 at 2
Id : 3603, {_}: join (meet ?5256 ?5257) (meet ?5257 (join ?5256 ?5257)) =>= ?5257 [5257, 5256] by Super 2892 with 3327 at 2
Id : 3994, {_}: ?5513 =<= meet (meet (join ?5513 ?5514) (join ?5515 ?5513)) ?5513 [5515, 5514, 5513] by Super 3327 with 3603 at 3
Id : 4014, {_}: ?4574 =<= join (meet ?4574 ?4574) (meet ?4577 (join ?4574 (meet (meet (join ?4574 ?4575) (join ?4576 ?4574)) ?4574))) [4576, 4575, 4577, 4574] by Demod 3327 with 3994 at 2,1,3
Id : 4015, {_}: ?4574 =<= join (meet ?4574 ?4574) (meet ?4577 (join ?4574 ?4574)) [4577, 4574] by Demod 4014 with 3994 at 2,2,2,3
Id : 4250, {_}: join ?5957 (meet ?5957 (join (meet (join ?5957 ?5958) (join ?5959 ?5957)) ?5957)) =>= ?5957 [5959, 5958, 5957] by Super 3603 with 3994 at 1,2
Id : 4017, {_}: join ?5557 (meet ?5557 (join (meet (join ?5557 ?5558) (join ?5559 ?5557)) ?5557)) =>= ?5557 [5559, 5558, 5557] by Super 3603 with 3994 at 1,2
Id : 4265, {_}: join ?6023 (meet ?6023 (join (meet ?6023 (join ?6024 ?6023)) ?6023)) =>= ?6023 [6024, 6023] by Super 4250 with 4017 at 1,1,2,2,2
Id : 4599, {_}: join (meet ?6423 (meet ?6423 (join (meet ?6423 (join ?6424 ?6423)) ?6423))) (meet ?6423 ?6423) =>= ?6423 [6424, 6423] by Super 1490 with 4265 at 2,2,2
Id : 4299, {_}: ?6141 =<= meet (meet ?6141 (join ?6142 ?6141)) ?6141 [6142, 6141] by Super 3994 with 4017 at 1,1,3
Id : 4304, {_}: meet ?6158 (join ?6159 ?6158) =<= meet (meet (meet ?6158 (join ?6159 ?6158)) ?6158) (meet ?6158 (join ?6159 ?6158)) [6159, 6158] by Super 4299 with 3603 at 2,1,3
Id : 4244, {_}: ?5934 =<= meet (meet ?5934 (join ?5935 ?5934)) ?5934 [5935, 5934] by Super 3994 with 4017 at 1,1,3
Id : 4357, {_}: meet ?6158 (join ?6159 ?6158) =<= meet ?6158 (meet ?6158 (join ?6159 ?6158)) [6159, 6158] by Demod 4304 with 4244 at 1,3
Id : 4633, {_}: join (meet ?6423 (join (meet ?6423 (join ?6424 ?6423)) ?6423)) (meet ?6423 ?6423) =>= ?6423 [6424, 6423] by Demod 4599 with 4357 at 1,2
Id : 5654, {_}: ?7568 =<= join (meet ?7569 (join (join (meet ?7568 (join (meet ?7568 (join ?7570 ?7568)) ?7568)) (meet ?7568 ?7568)) ?7568)) (meet ?7568 (join ?7569 (join ?7568 ?7568))) [7570, 7569, 7568] by Super 2846 with 4633 at 1,2,2,2,3
Id : 5717, {_}: ?7568 =<= join (meet ?7569 (join ?7568 ?7568)) (meet ?7568 (join ?7569 (join ?7568 ?7568))) [7569, 7568] by Demod 5654 with 4633 at 1,2,1,3
Id : 8505, {_}: join ?9550 ?9550 =>= ?9550 [9550] by Super 4015 with 5717 at 3
Id : 8811, {_}: a === a [] by Demod 1 with 8505 at 2
Id :   1, {_}: join a a =>= a [] by prove_wal_axioms_3
% SZS output end CNFRefutation for LAT094-1.p
12158: solved LAT094-1.p in 17.29708 using nrkbo
!! infer_left                                      52    0.0001    0.0000    0.0000
!! infer_right                                     53   67.0029   19.9642    1.2642
!! simplify_goal                                   53    0.0015    0.0003    0.0000
!! keep_simplified                                 98    0.4607    0.3056    0.0047
!! simplification_step                            136    0.4602    0.3028    0.0034
!! simplify                                      3578   60.3991    0.7946    0.0169
!! orphan_murder                                  121    0.0031    0.0001    0.0000
!! is_subsumed                                   3035    1.9189    0.3281    0.0006
!! build_new_clause                              1940    6.0112    0.3156    0.0031
!! demodulate                                    3553   58.4660    0.7875    0.0165
!! demod                                       440042   31.4566    0.3077    0.0001
!! demod.apply_subst                            13632    0.7294    0.3001    0.0001
!! demod.retrieve_generalizations              440042   24.4262    0.3077    0.0001
!! demod.unify                                  44511    1.2775    0.3001    0.0000
!! build_clause                                  8756   27.2039    0.3099    0.0031
!! compare_terms(nrkbo)                          8758   14.0859    0.3050    0.0016
!! compare_terms(nrkbo)                             2    0.0001    0.0001    0.0000
12174: Facts:
12174:  Id :   2, {_}:
          join (meet (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4)
            (meet
              (join (meet ?2 (join (join (meet ?3 ?5) (meet ?6 ?3)) ?3))
                (meet
                  (join (meet ?3 (meet (meet (join ?3 ?5) (join ?6 ?3)) ?3))
                    (meet ?7
                      (join ?3 (meet (meet (join ?3 ?5) (join ?6 ?3)) ?3))))
                  (join ?2 (join (join (meet ?3 ?5) (meet ?6 ?3)) ?3))))
              (join (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4))
          =>=
          ?3
          [7, 6, 5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5 ?6 ?7
12174: Goal:
12174:  Id :   1, {_}: join b a =<= join a b [] by prove_wal_axioms_4
% SZS status Timeout for LAT095-1.p
12235: Facts:
12235:  Id :   2, {_}:
          join (meet (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4)
            (meet
              (join (meet ?2 (join (join (meet ?3 ?5) (meet ?6 ?3)) ?3))
                (meet
                  (join (meet ?3 (meet (meet (join ?3 ?5) (join ?6 ?3)) ?3))
                    (meet ?7
                      (join ?3 (meet (meet (join ?3 ?5) (join ?6 ?3)) ?3))))
                  (join ?2 (join (join (meet ?3 ?5) (meet ?6 ?3)) ?3))))
              (join (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4))
          =>=
          ?3
          [7, 6, 5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5 ?6 ?7
12235: Goal:
12235:  Id :   1, {_}:
          meet (meet (join a b) (join c b)) b =>= b
          [] by prove_wal_axioms_5
Statistics :
Max weight : 2918
Found proof, 71.319399s
% SZS status Unsatisfiable for LAT096-1.p
% SZS output start CNFRefutation for LAT096-1.p
Id :   2, {_}: join (meet (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4) (meet (join (meet ?2 (join (join (meet ?3 ?5) (meet ?6 ?3)) ?3)) (meet (join (meet ?3 (meet (meet (join ?3 ?5) (join ?6 ?3)) ?3)) (meet ?7 (join ?3 (meet (meet (join ?3 ?5) (join ?6 ?3)) ?3)))) (join ?2 (join (join (meet ?3 ?5) (meet ?6 ?3)) ?3)))) (join (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4)) =>= ?3 [7, 6, 5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5 ?6 ?7
Id :   3, {_}: join (meet (join (meet ?9 ?10) (meet ?10 (join ?9 ?10))) ?11) (meet (join (meet ?9 (join (join (meet ?10 ?12) (meet ?13 ?10)) ?10)) (meet (join (meet ?10 (meet (meet (join ?10 ?12) (join ?13 ?10)) ?10)) (meet ?14 (join ?10 (meet (meet (join ?10 ?12) (join ?13 ?10)) ?10)))) (join ?9 (join (join (meet ?10 ?12) (meet ?13 ?10)) ?10)))) (join (join (meet ?9 ?10) (meet ?10 (join ?9 ?10))) ?11)) =>= ?10 [14, 13, 12, 11, 10, 9] by single_axiom ?9 ?10 ?11 ?12 ?13 ?14
Id :  10, {_}: join (meet (join (meet ?81 (join (meet ?82 ?83) (meet ?83 (join ?82 ?83)))) (meet (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))) (join ?81 (join (meet ?82 ?83) (meet ?83 (join ?82 ?83)))))) ?84) (meet (join (meet ?81 (join (join (meet (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))) ?85) (meet ?86 (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))))) (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))))) (meet ?83 (join ?81 (join (join (meet (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))) ?85) (meet ?86 (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))))) (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))))))) (join (join (meet ?81 (join (meet ?82 ?83) (meet ?83 (join ?82 ?83)))) (meet (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))) (join ?81 (join (meet ?82 ?83) (meet ?83 (join ?82 ?83)))))) ?84)) =>= join (meet ?82 ?83) (meet ?83 (join ?82 ?83)) [86, 85, 84, 83, 82, 81] by Super 3 with 2 at 1,2,1,2,2
Id :  31, {_}: join (meet (join (meet ?205 (join (meet ?206 ?207) (meet ?207 (join ?206 ?207)))) (meet (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))) (join ?205 (join (meet ?206 ?207) (meet ?207 (join ?206 ?207)))))) ?208) (meet (join (meet ?205 (join (join (meet (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))) ?209) (meet ?210 (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))))) (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))))) (meet ?207 (join ?205 (join (join (meet (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))) ?209) (meet ?210 (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))))) (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))))))) (join (join (meet ?205 (join (meet ?206 ?207) (meet ?207 (join ?206 ?207)))) (meet (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))) (join ?205 (join (meet ?206 ?207) (meet ?207 (join ?206 ?207)))))) ?208)) =>= join (meet ?206 ?207) (meet ?207 (join ?206 ?207)) [210, 209, 208, 207, 206, 205] by Super 3 with 2 at 1,2,1,2,2
Id :  34, {_}: join (meet (join (meet ?234 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))))) (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))))))) ?240) (meet (join (meet ?234 (join (join (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) ?241) (meet ?242 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))))) (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join ?234 (join (join (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) ?241) (meet ?242 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))))) (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))))))) (join (join (meet ?234 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))))) (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 ?236))) ?240)) =>= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [242, 241, 240, 239, 238, 237, 236, 235, 234] by Super 31 with 2 at 2,2,2,1,2,2,2
Id : 116, {_}: join (meet (join (meet ?234 ?236) (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) 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?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [242, 241, 240, 239, 238, 237, 235, 236, 234] by Demod 34 with 2 at 2,1,1,1,2
Id : 117, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 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(meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 ?236))) ?240)) =>= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [242, 241, 240, 239, 238, 237, 235, 236, 234] by Demod 116 with 2 at 1,2,1,1,2
Id : 118, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet 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Id : 119, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 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(meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 118 with 2 at 1,1,1,2,1,1,2,2
Id : 120, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join 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?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 119 with 2 at 2,2,1,2,1,1,2,2
Id : 121, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join ?234 (join (join (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) 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?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 120 with 2 at 2,2,1,1,2,2
Id : 122, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join ?234 (join (join (meet ?236 ?241) (meet ?242 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) 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(join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))))))) (join (join (meet ?234 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))))) (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 ?236))) ?240)) =>= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 121 with 2 at 1,1,1,2,2,2,1,2,2
Id : 123, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))))))) (join (join (meet ?234 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))))) (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 ?236))) ?240)) =>= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 122 with 2 at 2,2,1,2,2,2,1,2,2
Id : 124, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)))) (join (join (meet ?234 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))))) (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 ?236))) ?240)) =>= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 123 with 2 at 2,2,2,2,1,2,2
Id : 125, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)))) (join (join (meet ?234 ?236) (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 ?236))) ?240)) =>= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 124 with 2 at 2,1,1,2,2,2
Id : 126, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)))) (join (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240)) =?= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 125 with 2 at 1,2,1,2,2,2
Id : 702, {_}: join (meet (join (meet ?1187 ?1188) (meet ?1188 (join ?1187 ?1188))) ?1189) (meet (join (meet ?1187 (join (join (meet ?1188 ?1190) (meet ?1191 ?1188)) ?1188)) (meet (join (meet ?1192 (join (join (meet ?1188 ?1193) (meet ?1194 ?1188)) ?1188)) (meet (join (meet ?1188 (meet (meet (join ?1188 ?1193) (join ?1194 ?1188)) ?1188)) (meet ?1195 (join ?1188 (meet (meet (join ?1188 ?1193) (join ?1194 ?1188)) ?1188)))) (join ?1192 (join (join (meet ?1188 ?1193) (meet ?1194 ?1188)) ?1188)))) (join ?1187 (join (join (meet ?1188 ?1190) (meet ?1191 ?1188)) ?1188)))) (join (join (meet ?1187 ?1188) (meet ?1188 (join ?1187 ?1188))) ?1189)) =>= ?1188 [1195, 1194, 1193, 1192, 1191, 1190, 1189, 1188, 1187] by Demod 126 with 2 at 3
Id : 724, {_}: join (meet (join (meet (join (meet ?1495 ?1496) (meet ?1496 (join ?1495 ?1496))) ?1496) (meet ?1496 (join (join (meet ?1495 ?1496) (meet ?1496 (join ?1495 ?1496))) ?1496))) ?1497) (meet ?1496 (join (join (meet (join (meet ?1495 ?1496) (meet ?1496 (join ?1495 ?1496))) ?1496) (meet ?1496 (join (join (meet ?1495 ?1496) (meet ?1496 (join ?1495 ?1496))) ?1496))) ?1497)) =>= ?1496 [1497, 1496, 1495] by Super 702 with 2 at 1,2,2
Id : 1054, {_}: join (meet (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))))) ?1599) (meet (join (meet ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1601, 1600, 1599, 1598, 1597, 1596] by Super 10 with 724 at 2,2,2,1,2,2,2
Id : 1166, {_}: join (meet (join (meet ?1596 ?1598) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))))) ?1599) (meet (join (meet ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1601, 1600, 1599, 1597, 1598, 1596] by Demod 1054 with 724 at 2,1,1,1,2
Id : 1167, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))))) ?1599) (meet (join (meet ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1601, 1600, 1599, 1597, 1598, 1596] by Demod 1166 with 724 at 1,2,1,1,2
Id : 1168, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1601, 1600, 1597, 1599, 1598, 1596] by Demod 1167 with 724 at 2,2,2,1,1,2
Id : 1169, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1168 with 724 at 1,1,1,2,1,1,2,2
Id : 1170, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1169 with 724 at 2,2,1,2,1,1,2,2
Id : 1171, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1170 with 724 at 2,2,1,1,2,2
Id : 1172, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1171 with 724 at 1,1,1,2,2,2,1,2,2
Id : 1173, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1172 with 724 at 2,2,1,2,2,2,1,2,2
Id : 1174, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1173 with 724 at 2,2,2,2,1,2,2
Id : 1175, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)))) (join (join (meet ?1596 ?1598) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1174 with 724 at 2,1,1,2,2,2
Id : 1176, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)))) (join (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599)) =?= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1175 with 724 at 1,2,1,2,2,2
Id : 1177, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)))) (join (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599)) =>= ?1598 [1601, 1600, 1599, 1598, 1596] by Demod 1176 with 724 at 3
Id : 2455, {_}: join (meet (join (meet ?3676 ?3677) (meet ?3677 (join ?3676 ?3677))) ?3678) (meet (join (meet ?3676 (join (join (meet ?3677 ?3679) (meet ?3680 ?3677)) ?3677)) (meet ?3677 (join ?3676 (join (join (meet ?3677 ?3679) (meet ?3680 ?3677)) ?3677)))) (join (join (meet ?3676 ?3677) (meet ?3677 (join ?3676 ?3677))) ?3678)) =>= ?3677 [3680, 3679, 3678, 3677, 3676] by Demod 1176 with 724 at 3
Id : 2468, {_}: join (meet (join (meet (join (meet ?3785 ?3786) (meet ?3786 (join ?3785 ?3786))) (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786))))) (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) (join (join (meet ?3785 ?3786) (meet ?3786 (join ?3785 ?3786))) (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786))))))) ?3789) (meet (join (meet (join (meet ?3785 ?3786) (meet ?3786 (join ?3785 ?3786))) (join (join (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) ?3790) (meet ?3791 (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))) (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))) (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) (join (join (meet ?3785 ?3786) (meet ?3786 (join ?3785 ?3786))) (join (join (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) ?3790) (meet ?3791 (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))) (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))))) (join ?3786 ?3789)) =>= join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786))) [3791, 3790, 3789, 3788, 3787, 3786, 3785] by Super 2455 with 1177 at 1,2,2,2
Id : 2844, {_}: join (meet ?3786 ?3789) (meet (join (meet (join (meet ?3785 ?3786) (meet ?3786 (join ?3785 ?3786))) (join (join (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) ?3790) (meet ?3791 (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))) (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))) (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) (join (join (meet ?3785 ?3786) (meet ?3786 (join ?3785 ?3786))) (join (join (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) ?3790) (meet ?3791 (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))) (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))))) (join ?3786 ?3789)) =>= join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786))) [3791, 3790, 3788, 3787, 3785, 3789, 3786] by Demod 2468 with 1177 at 1,1,2
Id : 2845, {_}: join (meet ?3786 ?3789) (meet ?3786 (join ?3786 ?3789)) =?= join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786))) [3788, 3787, 3785, 3789, 3786] by Demod 2844 with 1177 at 1,2,2
Id : 1101, {_}: join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1978) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1978)) =>= ?1977 [1978, 1977, 1976] by Super 702 with 2 at 1,2,2
Id : 1118, {_}: join (meet (join (meet (join (meet (join (meet ?2100 ?2101) (meet ?2101 (join ?2100 ?2101))) ?2101) (meet ?2101 (join (join (meet ?2100 ?2101) (meet ?2101 (join ?2100 ?2101))) ?2101))) ?2101) (meet ?2101 (join (join (meet (join (meet ?2100 ?2101) (meet ?2101 (join ?2100 ?2101))) ?2101) (meet ?2101 (join (join (meet ?2100 ?2101) (meet ?2101 (join ?2100 ?2101))) ?2101))) ?2101))) ?2102) (meet ?2101 (join ?2101 ?2102)) =>= ?2101 [2102, 2101, 2100] by Super 1101 with 724 at 1,2,2,2
Id : 1490, {_}: join (meet ?2101 ?2102) (meet ?2101 (join ?2101 ?2102)) =>= ?2101 [2102, 2101] by Demod 1118 with 724 at 1,1,2
Id : 2846, {_}: ?3786 =<= join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786))) [3788, 3787, 3785, 3786] by Demod 2845 with 1490 at 2
Id : 2892, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet ?1598 (join (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599)) =>= ?1598 [1599, 1598, 1596] by Demod 1177 with 2846 at 1,2,2
Id : 2917, {_}: join (meet ?4140 (join (join (meet ?4141 ?4142) (meet ?4143 ?4141)) ?4141)) (meet (join (meet ?4141 (meet (meet (join ?4141 ?4142) (join ?4143 ?4141)) ?4141)) (meet ?4144 (join ?4141 (meet (meet (join ?4141 ?4142) (join ?4143 ?4141)) ?4141)))) (join ?4140 (join (join (meet ?4141 ?4142) (meet ?4143 ?4141)) ?4141))) =>= ?4141 [4144, 4143, 4142, 4141, 4140] by Super 2 with 2846 at 2
Id : 3327, {_}: ?4574 =<= join (meet ?4574 (meet (meet (join ?4574 ?4575) (join ?4576 ?4574)) ?4574)) (meet ?4577 (join ?4574 (meet (meet (join ?4574 ?4575) (join ?4576 ?4574)) ?4574))) [4577, 4576, 4575, 4574] by Super 2892 with 2917 at 2
Id : 3603, {_}: join (meet ?5256 ?5257) (meet ?5257 (join ?5256 ?5257)) =>= ?5257 [5257, 5256] by Super 2892 with 3327 at 2
Id : 3994, {_}: ?5513 =<= meet (meet (join ?5513 ?5514) (join ?5515 ?5513)) ?5513 [5515, 5514, 5513] by Super 3327 with 3603 at 3
Id : 4017, {_}: join ?5557 (meet ?5557 (join (meet (join ?5557 ?5558) (join ?5559 ?5557)) ?5557)) =>= ?5557 [5559, 5558, 5557] by Super 3603 with 3994 at 1,2
Id : 4299, {_}: ?6141 =<= meet (meet ?6141 (join ?6142 ?6141)) ?6141 [6142, 6141] by Super 3994 with 4017 at 1,1,3
Id : 4014, {_}: ?4574 =<= join (meet ?4574 ?4574) (meet ?4577 (join ?4574 (meet (meet (join ?4574 ?4575) (join ?4576 ?4574)) ?4574))) [4576, 4575, 4577, 4574] by Demod 3327 with 3994 at 2,1,3
Id : 4015, {_}: ?4574 =<= join (meet ?4574 ?4574) (meet ?4577 (join ?4574 ?4574)) [4577, 4574] by Demod 4014 with 3994 at 2,2,2,3
Id : 5114, {_}: meet ?7036 (join ?7037 ?7037) =<= meet (meet (meet ?7036 (join ?7037 ?7037)) ?7037) (meet ?7036 (join ?7037 ?7037)) [7037, 7036] by Super 4299 with 4015 at 2,1,3
Id : 5213, {_}: meet (join ?7149 ?7150) (join ?7149 ?7149) =<= meet ?7149 (meet (join ?7149 ?7150) (join ?7149 ?7149)) [7150, 7149] by Super 5114 with 3994 at 1,3
Id : 5218, {_}: meet (join (meet ?7166 ?7167) (meet ?7167 (join ?7166 ?7167))) (join (meet ?7166 ?7167) (meet ?7166 ?7167)) =>= meet (meet ?7166 ?7167) (meet ?7167 (join (meet ?7166 ?7167) (meet ?7166 ?7167))) [7167, 7166] by Super 5213 with 3603 at 1,2,3
Id : 5280, {_}: meet ?7167 (join (meet ?7166 ?7167) (meet ?7166 ?7167)) =<= meet (meet ?7166 ?7167) (meet ?7167 (join (meet ?7166 ?7167) (meet ?7166 ?7167))) [7166, 7167] by Demod 5218 with 3603 at 1,2
Id : 4250, {_}: join ?5957 (meet ?5957 (join (meet (join ?5957 ?5958) (join ?5959 ?5957)) ?5957)) =>= ?5957 [5959, 5958, 5957] by Super 3603 with 3994 at 1,2
Id : 4265, {_}: join ?6023 (meet ?6023 (join (meet ?6023 (join ?6024 ?6023)) ?6023)) =>= ?6023 [6024, 6023] by Super 4250 with 4017 at 1,1,2,2,2
Id : 4599, {_}: join (meet ?6423 (meet ?6423 (join (meet ?6423 (join ?6424 ?6423)) ?6423))) (meet ?6423 ?6423) =>= ?6423 [6424, 6423] by Super 1490 with 4265 at 2,2,2
Id : 4304, {_}: meet ?6158 (join ?6159 ?6158) =<= meet (meet (meet ?6158 (join ?6159 ?6158)) ?6158) (meet ?6158 (join ?6159 ?6158)) [6159, 6158] by Super 4299 with 3603 at 2,1,3
Id : 4244, {_}: ?5934 =<= meet (meet ?5934 (join ?5935 ?5934)) ?5934 [5935, 5934] by Super 3994 with 4017 at 1,1,3
Id : 4357, {_}: meet ?6158 (join ?6159 ?6158) =<= meet ?6158 (meet ?6158 (join ?6159 ?6158)) [6159, 6158] by Demod 4304 with 4244 at 1,3
Id : 4633, {_}: join (meet ?6423 (join (meet ?6423 (join ?6424 ?6423)) ?6423)) (meet ?6423 ?6423) =>= ?6423 [6424, 6423] by Demod 4599 with 4357 at 1,2
Id : 5654, {_}: ?7568 =<= join (meet ?7569 (join (join (meet ?7568 (join (meet ?7568 (join ?7570 ?7568)) ?7568)) (meet ?7568 ?7568)) ?7568)) (meet ?7568 (join ?7569 (join ?7568 ?7568))) [7570, 7569, 7568] by Super 2846 with 4633 at 1,2,2,2,3
Id : 5717, {_}: ?7568 =<= join (meet ?7569 (join ?7568 ?7568)) (meet ?7568 (join ?7569 (join ?7568 ?7568))) [7569, 7568] by Demod 5654 with 4633 at 1,2,1,3
Id : 8505, {_}: join ?9550 ?9550 =>= ?9550 [9550] by Super 4015 with 5717 at 3
Id : 8599, {_}: meet ?7167 (meet ?7166 ?7167) =<= meet (meet ?7166 ?7167) (meet ?7167 (join (meet ?7166 ?7167) (meet ?7166 ?7167))) [7166, 7167] by Demod 5280 with 8505 at 2,2
Id : 8600, {_}: meet ?7167 (meet ?7166 ?7167) =<= meet (meet ?7166 ?7167) (meet ?7167 (meet ?7166 ?7167)) [7166, 7167] by Demod 8599 with 8505 at 2,2,3
Id : 1594, {_}: join (meet ?2599 ?2600) (meet ?2599 (join ?2599 ?2600)) =>= ?2599 [2600, 2599] by Demod 1118 with 724 at 1,1,2
Id : 1599, {_}: join (meet (meet ?2630 ?2631) (meet ?2630 (join ?2630 ?2631))) (meet (meet ?2630 ?2631) ?2630) =>= meet ?2630 ?2631 [2631, 2630] by Super 1594 with 1490 at 2,2,2
Id : 8580, {_}: ?4574 =<= join (meet ?4574 ?4574) (meet ?4577 ?4574) [4577, 4574] by Demod 4015 with 8505 at 2,2,3
Id : 4016, {_}: ?5555 =<= join (meet ?5555 ?5555) (join ?5555 ?5555) [5555] by Super 4015 with 3994 at 2,3
Id : 4107, {_}: meet ?5754 ?5754 =<= meet (meet ?5754 (join ?5755 (meet ?5754 ?5754))) (meet ?5754 ?5754) [5755, 5754] by Super 3994 with 4016 at 1,1,3
Id : 5124, {_}: meet ?7066 (join (meet ?7066 ?7066) (meet ?7066 ?7066)) =<= meet (meet ?7066 ?7066) (meet ?7066 (join (meet ?7066 ?7066) (meet ?7066 ?7066))) [7066] by Super 5114 with 4107 at 1,3
Id : 4601, {_}: join (meet ?6429 (meet ?6429 (join (meet ?6429 (join ?6430 ?6429)) ?6429))) (meet (meet ?6429 (join (meet ?6429 (join ?6430 ?6429)) ?6429)) ?6429) =>= meet ?6429 (join (meet ?6429 (join ?6430 ?6429)) ?6429) [6430, 6429] by Super 3603 with 4265 at 2,2,2
Id : 4627, {_}: join (meet ?6429 (join (meet ?6429 (join ?6430 ?6429)) ?6429)) (meet (meet ?6429 (join (meet ?6429 (join ?6430 ?6429)) ?6429)) ?6429) =>= meet ?6429 (join (meet ?6429 (join ?6430 ?6429)) ?6429) [6430, 6429] by Demod 4601 with 4357 at 1,2
Id : 4628, {_}: join (meet ?6429 (join (meet ?6429 (join ?6430 ?6429)) ?6429)) ?6429 =>= meet ?6429 (join (meet ?6429 (join ?6430 ?6429)) ?6429) [6430, 6429] by Demod 4627 with 4244 at 2,2
Id : 1972, {_}: join (meet (meet (meet ?2837 ?2838) (meet ?2837 (join ?2837 ?2838))) (meet (meet ?2837 ?2838) ?2837)) (meet (meet (meet ?2837 ?2838) (meet ?2837 (join ?2837 ?2838))) (meet ?2837 ?2838)) =>= meet (meet ?2837 ?2838) (meet ?2837 (join ?2837 ?2838)) [2838, 2837] by Super 1490 with 1599 at 2,2,2
Id : 5646, {_}: meet ?7542 ?7542 =<= meet (meet ?7542 ?7542) (meet ?7542 ?7542) [7542] by Super 4107 with 4633 at 2,1,3
Id : 5765, {_}: join (meet (meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet ?7691 ?7691))) (meet (meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet ?7691 ?7691)) =>= meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) [7691] by Super 1972 with 5646 at 2,2,2
Id : 5836, {_}: join (meet (meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet ?7691 ?7691))) (meet (meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet ?7691 ?7691)) =>= meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) [7691] by Demod 5765 with 5646 at 1,1,1,2
Id : 5837, {_}: join (meet (meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet (meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet ?7691 ?7691)) =>= meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) [7691] by Demod 5836 with 5646 at 1,2,1,2
Id : 5838, {_}: join (meet (meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet (meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet ?7691 ?7691)) =>= meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) [7691] by Demod 5837 with 5646 at 1,1,2,2
Id : 5839, {_}: join (meet (meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet (meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet ?7691 ?7691)) =>= meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) [7691] by Demod 5838 with 5646 at 1,3
Id : 5840, {_}: join (meet (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet (meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet ?7691 ?7691)) =>= meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) [7691] by Demod 5839 with 4357 at 1,1,2
Id : 5841, {_}: join (meet (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet ?7691 ?7691)) (meet (meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet ?7691 ?7691)) =>= meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) [7691] by Demod 5840 with 5646 at 2,1,2
Id : 5842, {_}: join (meet (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet ?7691 ?7691)) (meet (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet ?7691 ?7691)) =>= meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) [7691] by Demod 5841 with 4357 at 1,2,2
Id : 5843, {_}: join (meet (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet ?7691 ?7691)) (meet (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet ?7691 ?7691)) =>= meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)) [7691] by Demod 5842 with 4357 at 3
Id : 5844, {_}: join (meet ?7691 ?7691) (meet (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet ?7691 ?7691)) =>= meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)) [7691] by Demod 5843 with 4244 at 1,2
Id : 5845, {_}: join (meet ?7691 ?7691) (meet ?7691 ?7691) =<= meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)) [7691] by Demod 5844 with 4244 at 2,2
Id : 6090, {_}: join (join (meet ?7953 ?7953) (meet ?7953 ?7953)) (meet (meet ?7953 ?7953) (join (meet ?7953 ?7953) (join (meet ?7953 ?7953) (meet ?7953 ?7953)))) =>= meet ?7953 ?7953 [7953] by Super 1490 with 5845 at 1,2
Id : 5775, {_}: meet ?7723 ?7723 =<= join (meet ?7723 ?7723) (join (meet ?7723 ?7723) (meet ?7723 ?7723)) [7723] by Super 4016 with 5646 at 1,3
Id : 6158, {_}: join (join (meet ?7953 ?7953) (meet ?7953 ?7953)) (meet (meet ?7953 ?7953) (meet ?7953 ?7953)) =>= meet ?7953 ?7953 [7953] by Demod 6090 with 5775 at 2,2,2
Id : 6159, {_}: join (join (meet ?7953 ?7953) (meet ?7953 ?7953)) (meet ?7953 ?7953) =>= meet ?7953 ?7953 [7953] by Demod 6158 with 5646 at 2,2
Id : 6371, {_}: join (meet (meet ?8123 ?8123) (join (meet (meet ?8123 ?8123) (meet ?8123 ?8123)) (meet ?8123 ?8123))) (meet ?8123 ?8123) =<= meet (meet ?8123 ?8123) (join (meet (meet ?8123 ?8123) (join (join (meet ?8123 ?8123) (meet ?8123 ?8123)) (meet ?8123 ?8123))) (meet ?8123 ?8123)) [8123] by Super 4628 with 6159 at 2,1,2,1,2
Id : 6404, {_}: join (meet (meet ?8123 ?8123) (join (meet ?8123 ?8123) (meet ?8123 ?8123))) (meet ?8123 ?8123) =<= meet (meet ?8123 ?8123) (join (meet (meet ?8123 ?8123) (join (join (meet ?8123 ?8123) (meet ?8123 ?8123)) (meet ?8123 ?8123))) (meet ?8123 ?8123)) [8123] by Demod 6371 with 5646 at 1,2,1,2
Id : 6405, {_}: join (meet (meet ?8123 ?8123) (join (meet ?8123 ?8123) (meet ?8123 ?8123))) (meet ?8123 ?8123) =<= meet (meet ?8123 ?8123) (join (meet (meet ?8123 ?8123) (meet ?8123 ?8123)) (meet ?8123 ?8123)) [8123] by Demod 6404 with 6159 at 2,1,2,3
Id : 6406, {_}: join (join (meet ?8123 ?8123) (meet ?8123 ?8123)) (meet ?8123 ?8123) =<= meet (meet ?8123 ?8123) (join (meet (meet ?8123 ?8123) (meet ?8123 ?8123)) (meet ?8123 ?8123)) [8123] by Demod 6405 with 5845 at 1,2
Id : 6407, {_}: join (join (meet ?8123 ?8123) (meet ?8123 ?8123)) (meet ?8123 ?8123) =<= meet (meet ?8123 ?8123) (join (meet ?8123 ?8123) (meet ?8123 ?8123)) [8123] by Demod 6406 with 5646 at 1,2,3
Id : 6408, {_}: meet ?8123 ?8123 =<= meet (meet ?8123 ?8123) (join (meet ?8123 ?8123) (meet ?8123 ?8123)) [8123] by Demod 6407 with 6159 at 2
Id : 6409, {_}: meet ?8123 ?8123 =<= join (meet ?8123 ?8123) (meet ?8123 ?8123) [8123] by Demod 6408 with 5845 at 3
Id : 7067, {_}: meet ?7066 (meet ?7066 ?7066) =<= meet (meet ?7066 ?7066) (meet ?7066 (join (meet ?7066 ?7066) (meet ?7066 ?7066))) [7066] by Demod 5124 with 6409 at 2,2
Id : 7068, {_}: meet ?7066 (meet ?7066 ?7066) =<= meet (meet ?7066 ?7066) (meet ?7066 (meet ?7066 ?7066)) [7066] by Demod 7067 with 6409 at 2,2,3
Id : 7080, {_}: join (meet (meet (meet ?8706 ?8706) (meet ?8706 (meet ?8706 ?8706))) (meet (meet ?8706 ?8706) (join (meet ?8706 ?8706) (meet ?8706 (meet ?8706 ?8706))))) (meet (meet ?8706 (meet ?8706 ?8706)) (meet ?8706 ?8706)) =>= meet (meet ?8706 ?8706) (meet ?8706 (meet ?8706 ?8706)) [8706] by Super 1599 with 7068 at 1,2,2
Id : 7097, {_}: join (meet (meet ?8706 (meet ?8706 ?8706)) (meet (meet ?8706 ?8706) (join (meet ?8706 ?8706) (meet ?8706 (meet ?8706 ?8706))))) (meet (meet ?8706 (meet ?8706 ?8706)) (meet ?8706 ?8706)) =>= meet (meet ?8706 ?8706) (meet ?8706 (meet ?8706 ?8706)) [8706] by Demod 7080 with 7068 at 1,1,2
Id : 6508, {_}: meet ?8193 ?8193 =<= join (meet (meet ?8193 ?8193) (meet ?8193 ?8193)) (meet ?8194 (meet ?8193 ?8193)) [8194, 8193] by Super 4015 with 6409 at 2,2,3
Id : 6644, {_}: meet ?8193 ?8193 =<= join (meet ?8193 ?8193) (meet ?8194 (meet ?8193 ?8193)) [8194, 8193] by Demod 6508 with 5646 at 1,3
Id : 7098, {_}: join (meet (meet ?8706 (meet ?8706 ?8706)) (meet (meet ?8706 ?8706) (meet ?8706 ?8706))) (meet (meet ?8706 (meet ?8706 ?8706)) (meet ?8706 ?8706)) =>= meet (meet ?8706 ?8706) (meet ?8706 (meet ?8706 ?8706)) [8706] by Demod 7097 with 6644 at 2,2,1,2
Id : 6520, {_}: meet ?8223 ?8223 =<= meet (meet ?8223 (meet ?8223 ?8223)) (meet ?8223 ?8223) [8223] by Super 4107 with 6409 at 2,1,3
Id : 7099, {_}: join (meet (meet ?8706 (meet ?8706 ?8706)) (meet (meet ?8706 ?8706) (meet ?8706 ?8706))) (meet ?8706 ?8706) =>= meet (meet ?8706 ?8706) (meet ?8706 (meet ?8706 ?8706)) [8706] by Demod 7098 with 6520 at 2,2
Id : 7100, {_}: join (meet (meet ?8706 (meet ?8706 ?8706)) (meet (meet ?8706 ?8706) (meet ?8706 ?8706))) (meet ?8706 ?8706) =>= meet ?8706 (meet ?8706 ?8706) [8706] by Demod 7099 with 7068 at 3
Id : 7101, {_}: join (meet (meet ?8706 (meet ?8706 ?8706)) (meet ?8706 ?8706)) (meet ?8706 ?8706) =>= meet ?8706 (meet ?8706 ?8706) [8706] by Demod 7100 with 5646 at 2,1,2
Id : 7102, {_}: join (meet ?8706 ?8706) (meet ?8706 ?8706) =>= meet ?8706 (meet ?8706 ?8706) [8706] by Demod 7101 with 6520 at 1,2
Id : 7103, {_}: meet ?8706 ?8706 =<= meet ?8706 (meet ?8706 ?8706) [8706] by Demod 7102 with 6409 at 2
Id : 7221, {_}: join (meet ?8760 ?8760) (meet ?8760 (join ?8760 (meet ?8760 ?8760))) =>= ?8760 [8760] by Super 1490 with 7103 at 1,2
Id : 4105, {_}: join (meet (meet ?5749 ?5749) (join ?5749 ?5749)) (meet (join ?5749 ?5749) ?5749) =>= join ?5749 ?5749 [5749] by Super 3603 with 4016 at 2,2,2
Id : 8587, {_}: join (meet (meet ?5749 ?5749) ?5749) (meet (join ?5749 ?5749) ?5749) =>= join ?5749 ?5749 [5749] by Demod 4105 with 8505 at 2,1,2
Id : 8588, {_}: join (meet (meet ?5749 ?5749) ?5749) (meet ?5749 ?5749) =>= join ?5749 ?5749 [5749] by Demod 8587 with 8505 at 1,2,2
Id : 8589, {_}: join (meet (meet ?5749 ?5749) ?5749) (meet ?5749 ?5749) =>= ?5749 [5749] by Demod 8588 with 8505 at 3
Id : 4106, {_}: join ?5751 ?5751 =<= meet (meet (join (join ?5751 ?5751) ?5752) ?5751) (join ?5751 ?5751) [5752, 5751] by Super 3994 with 4016 at 2,1,3
Id : 4242, {_}: join ?5927 ?5927 =<= meet (meet (join ?5927 ?5927) ?5927) (join ?5927 ?5927) [5927] by Super 4106 with 4017 at 1,1,3
Id : 8576, {_}: ?5927 =<= meet (meet (join ?5927 ?5927) ?5927) (join ?5927 ?5927) [5927] by Demod 4242 with 8505 at 2
Id : 8577, {_}: ?5927 =<= meet (meet ?5927 ?5927) (join ?5927 ?5927) [5927] by Demod 8576 with 8505 at 1,1,3
Id : 8578, {_}: ?5927 =<= meet (meet ?5927 ?5927) ?5927 [5927] by Demod 8577 with 8505 at 2,3
Id : 8604, {_}: join ?5749 (meet ?5749 ?5749) =>= ?5749 [5749] by Demod 8589 with 8578 at 1,2
Id : 8605, {_}: join (meet ?8760 ?8760) (meet ?8760 ?8760) =>= ?8760 [8760] by Demod 7221 with 8604 at 2,2,2
Id : 8606, {_}: meet ?8760 ?8760 =>= ?8760 [8760] by Demod 8605 with 8505 at 2
Id : 8625, {_}: ?4574 =<= join ?4574 (meet ?4577 ?4574) [4577, 4574] by Demod 8580 with 8606 at 1,3
Id : 8662, {_}: ?9653 =<= join (meet (join (join (meet ?9653 ?9654) (meet ?9655 ?9653)) ?9653) (join (join (meet ?9653 ?9654) (meet ?9655 ?9653)) ?9653)) (meet ?9653 (join (join (meet ?9653 ?9654) (meet ?9655 ?9653)) ?9653)) [9655, 9654, 9653] by Super 2846 with 8505 at 2,2,3
Id : 8767, {_}: ?9653 =<= join (join (join (meet ?9653 ?9654) (meet ?9655 ?9653)) ?9653) (meet ?9653 (join (join (meet ?9653 ?9654) (meet ?9655 ?9653)) ?9653)) [9655, 9654, 9653] by Demod 8662 with 8606 at 1,3
Id : 8768, {_}: ?9653 =<= join (join (meet ?9653 ?9654) (meet ?9655 ?9653)) ?9653 [9655, 9654, 9653] by Demod 8767 with 8625 at 3
Id : 8832, {_}: join (meet (join (meet ?9751 ?9752) (meet ?9753 ?9751)) ?9751) (meet (join (meet ?9751 ?9752) (meet ?9753 ?9751)) ?9751) =>= join (meet ?9751 ?9752) (meet ?9753 ?9751) [9753, 9752, 9751] by Super 1490 with 8768 at 2,2,2
Id : 8936, {_}: meet (join (meet ?9970 ?9971) (meet ?9972 ?9970)) ?9970 =>= join (meet ?9970 ?9971) (meet ?9972 ?9970) [9972, 9971, 9970] by Demod 8832 with 8505 at 2
Id : 8937, {_}: meet (join (meet ?9974 ?9975) ?9974) ?9974 =>= join (meet ?9974 ?9975) (meet ?9974 ?9974) [9975, 9974] by Super 8936 with 8606 at 2,1,2
Id : 9092, {_}: meet (join (meet ?9974 ?9975) ?9974) ?9974 =>= join (meet ?9974 ?9975) ?9974 [9975, 9974] by Demod 8937 with 8606 at 2,3
Id : 9140, {_}: ?10108 =<= join ?10108 (join (meet ?10108 ?10109) ?10108) [10109, 10108] by Super 8625 with 9092 at 2,3
Id : 9413, {_}: join (meet (meet ?10366 (join (meet ?10366 ?10367) ?10366)) (meet ?10366 ?10366)) (meet (meet ?10366 (join (meet ?10366 ?10367) ?10366)) ?10366) =>= meet ?10366 (join (meet ?10366 ?10367) ?10366) [10367, 10366] by Super 1599 with 9140 at 2,2,1,2
Id : 9473, {_}: join (meet (meet ?10366 (join (meet ?10366 ?10367) ?10366)) ?10366) (meet (meet ?10366 (join (meet ?10366 ?10367) ?10366)) ?10366) =>= meet ?10366 (join (meet ?10366 ?10367) ?10366) [10367, 10366] by Demod 9413 with 8606 at 2,1,2
Id : 9474, {_}: join (meet (meet ?10366 (join (meet ?10366 ?10367) ?10366)) ?10366) ?10366 =>= meet ?10366 (join (meet ?10366 ?10367) ?10366) [10367, 10366] by Demod 9473 with 4244 at 2,2
Id : 9475, {_}: join ?10366 ?10366 =<= meet ?10366 (join (meet ?10366 ?10367) ?10366) [10367, 10366] by Demod 9474 with 4244 at 1,2
Id : 9476, {_}: ?10366 =<= meet ?10366 (join (meet ?10366 ?10367) ?10366) [10367, 10366] by Demod 9475 with 8505 at 2
Id : 9701, {_}: meet (join (meet ?10626 ?10627) ?10626) (meet ?10626 (join (meet ?10626 ?10627) ?10626)) =<= meet (meet ?10626 (join (meet ?10626 ?10627) ?10626)) (meet (join (meet ?10626 ?10627) ?10626) ?10626) [10627, 10626] by Super 8600 with 9476 at 2,2,3
Id : 9740, {_}: meet (join (meet ?10626 ?10627) ?10626) ?10626 =<= meet (meet ?10626 (join (meet ?10626 ?10627) ?10626)) (meet (join (meet ?10626 ?10627) ?10626) ?10626) [10627, 10626] by Demod 9701 with 9476 at 2,2
Id : 9741, {_}: meet (join (meet ?10626 ?10627) ?10626) ?10626 =<= meet ?10626 (meet (join (meet ?10626 ?10627) ?10626) ?10626) [10627, 10626] by Demod 9740 with 9476 at 1,3
Id : 9742, {_}: meet (join (meet ?10626 ?10627) ?10626) ?10626 =?= meet ?10626 (join (meet ?10626 ?10627) ?10626) [10627, 10626] by Demod 9741 with 9092 at 2,3
Id : 9743, {_}: join (meet ?10626 ?10627) ?10626 =<= meet ?10626 (join (meet ?10626 ?10627) ?10626) [10627, 10626] by Demod 9742 with 9092 at 2
Id : 9744, {_}: join (meet ?10626 ?10627) ?10626 =>= ?10626 [10627, 10626] by Demod 9743 with 9476 at 3
Id : 9159, {_}: meet (join (meet ?10167 ?10168) ?10167) ?10167 =>= join (meet ?10167 ?10168) ?10167 [10168, 10167] by Demod 8937 with 8606 at 2,3
Id : 8581, {_}: ?5751 =<= meet (meet (join (join ?5751 ?5751) ?5752) ?5751) (join ?5751 ?5751) [5752, 5751] by Demod 4106 with 8505 at 2
Id : 8582, {_}: ?5751 =<= meet (meet (join ?5751 ?5752) ?5751) (join ?5751 ?5751) [5752, 5751] by Demod 8581 with 8505 at 1,1,1,3
Id : 8583, {_}: ?5751 =<= meet (meet (join ?5751 ?5752) ?5751) ?5751 [5752, 5751] by Demod 8582 with 8505 at 2,3
Id : 9170, {_}: meet (join ?10201 (meet (join ?10201 ?10202) ?10201)) (meet (join ?10201 ?10202) ?10201) =>= join (meet (meet (join ?10201 ?10202) ?10201) ?10201) (meet (join ?10201 ?10202) ?10201) [10202, 10201] by Super 9159 with 8583 at 1,1,2
Id : 9274, {_}: meet ?10201 (meet (join ?10201 ?10202) ?10201) =<= join (meet (meet (join ?10201 ?10202) ?10201) ?10201) (meet (join ?10201 ?10202) ?10201) [10202, 10201] by Demod 9170 with 8625 at 1,2
Id : 9275, {_}: meet ?10201 (meet (join ?10201 ?10202) ?10201) =>= join ?10201 (meet (join ?10201 ?10202) ?10201) [10202, 10201] by Demod 9274 with 8583 at 1,3
Id : 5123, {_}: meet (join ?7063 ?7064) (join ?7063 ?7063) =<= meet ?7063 (meet (join ?7063 ?7064) (join ?7063 ?7063)) [7064, 7063] by Super 5114 with 3994 at 1,3
Id : 8567, {_}: meet (join ?7063 ?7064) ?7063 =<= meet ?7063 (meet (join ?7063 ?7064) (join ?7063 ?7063)) [7064, 7063] by Demod 5123 with 8505 at 2,2
Id : 8568, {_}: meet (join ?7063 ?7064) ?7063 =<= meet ?7063 (meet (join ?7063 ?7064) ?7063) [7064, 7063] by Demod 8567 with 8505 at 2,2,3
Id : 9276, {_}: meet (join ?10201 ?10202) ?10201 =<= join ?10201 (meet (join ?10201 ?10202) ?10201) [10202, 10201] by Demod 9275 with 8568 at 2
Id : 9277, {_}: meet (join ?10201 ?10202) ?10201 =>= ?10201 [10202, 10201] by Demod 9276 with 8625 at 3
Id : 11746, {_}: join ?13518 ?13519 =<= join (join ?13518 (meet ?13520 (join ?13518 ?13519))) (join ?13518 ?13519) [13520, 13519, 13518] by Super 8768 with 9277 at 1,1,3
Id : 9898, {_}: join (meet (meet ?10737 ?10738) ?10737) (meet (meet ?10737 ?10738) ?10737) =>= meet ?10737 ?10738 [10738, 10737] by Super 1490 with 9744 at 2,2,2
Id : 9933, {_}: meet (meet ?10737 ?10738) ?10737 =>= meet ?10737 ?10738 [10738, 10737] by Demod 9898 with 8505 at 2
Id : 10148, {_}: ?5934 =<= meet ?5934 (join ?5935 ?5934) [5935, 5934] by Demod 4244 with 9933 at 3
Id : 10149, {_}: join (meet ?5256 ?5257) ?5257 =>= ?5257 [5257, 5256] by Demod 3603 with 10148 at 2,2
Id : 11750, {_}: join (meet ?13533 ?13534) ?13534 =<= join (join (meet ?13533 ?13534) (meet ?13535 (join (meet ?13533 ?13534) ?13534))) ?13534 [13535, 13534, 13533] by Super 11746 with 10149 at 2,3
Id : 11822, {_}: ?13534 =<= join (join (meet ?13533 ?13534) (meet ?13535 (join (meet ?13533 ?13534) ?13534))) ?13534 [13535, 13533, 13534] by Demod 11750 with 10149 at 2
Id : 11823, {_}: ?13534 =<= join (join (meet ?13533 ?13534) (meet ?13535 ?13534)) ?13534 [13535, 13533, 13534] by Demod 11822 with 10149 at 2,2,1,3
Id : 12263, {_}: meet ?14390 (join (meet ?14391 ?14390) (meet ?14392 ?14390)) =>= join (meet ?14391 ?14390) (meet ?14392 ?14390) [14392, 14391, 14390] by Super 9277 with 11823 at 1,2
Id : 12298, {_}: meet ?14546 (meet ?14547 ?14546) =<= join (meet ?14547 ?14546) (meet ?14547 ?14546) [14547, 14546] by Super 12263 with 8505 at 2,2
Id : 12448, {_}: meet ?14664 (meet ?14665 ?14664) =>= meet ?14665 ?14664 [14665, 14664] by Demod 12298 with 8505 at 3
Id : 12463, {_}: meet (join ?14715 ?14716) ?14716 =?= meet ?14716 (join ?14715 ?14716) [14716, 14715] by Super 12448 with 10148 at 2,2
Id : 12536, {_}: meet (join ?14715 ?14716) ?14716 =>= ?14716 [14716, 14715] by Demod 12463 with 10148 at 3
Id : 12564, {_}: join ?14801 (join ?14802 ?14801) =>= join ?14802 ?14801 [14802, 14801] by Super 9744 with 12536 at 1,2
Id : 12677, {_}: ?14960 =<= meet (meet (join ?14961 ?14960) (join ?14962 ?14960)) ?14960 [14962, 14961, 14960] by Super 3994 with 12564 at 1,1,3
Id : 14691, {_}: b === b [] by Demod 1 with 12677 at 2
Id :   1, {_}: meet (meet (join a b) (join c b)) b =>= b [] by prove_wal_axioms_5
% SZS output end CNFRefutation for LAT096-1.p
12238: solved LAT096-1.p in 18.273141 using nrkbo
!! infer_left                                      95    0.0001    0.0000    0.0000
!! infer_right                                     96   69.3833   20.3105    0.7227
!! simplify_goal                                   96    0.0093    0.0004    0.0001
!! keep_simplified                                172    1.4714    0.3402    0.0086
!! simplification_step                            228    1.4704    0.3034    0.0064
!! simplify                                      7185   63.2021    0.7953    0.0088
!! orphan_murder                                  241    0.0066    0.0002    0.0000
!! is_subsumed                                   5162    1.0452    0.3061    0.0002
!! build_new_clause                              4144    7.1311    0.3124    0.0017
!! demodulate                                    7025   62.1338    0.7899    0.0088
!! demod                                       464997   36.3165    0.3281    0.0001
!! demod.apply_subst                            20898    0.7469    0.3002    0.0000
!! demod.retrieve_generalizations              464997   28.6847    0.3101    0.0001
!! demod.unify                                  89908    2.3321    0.3010    0.0000
!! build_clause                                 14593   27.7186    0.3097    0.0019
!! compare_terms(nrkbo)                         14595   14.0340    0.3042    0.0010
!! compare_terms(nrkbo)                             2    0.0001    0.0001    0.0000
12262: Facts:
12262:  Id :   2, {_}:
          join (meet (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4)
            (meet
              (join (meet ?2 (join (join (meet ?3 ?5) (meet ?6 ?3)) ?3))
                (meet
                  (join (meet ?3 (meet (meet (join ?3 ?5) (join ?6 ?3)) ?3))
                    (meet ?7
                      (join ?3 (meet (meet (join ?3 ?5) (join ?6 ?3)) ?3))))
                  (join ?2 (join (join (meet ?3 ?5) (meet ?6 ?3)) ?3))))
              (join (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4))
          =>=
          ?3
          [7, 6, 5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5 ?6 ?7
12262: Goal:
12262:  Id :   1, {_}:
          join (join (meet a b) (meet c b)) b =>= b
          [] by prove_wal_axioms_6
Statistics :
Max weight : 2918
Found proof, 73.830469s
% SZS status Unsatisfiable for LAT097-1.p
% SZS output start CNFRefutation for LAT097-1.p
Id :   2, {_}: join (meet (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4) (meet (join (meet ?2 (join (join (meet ?3 ?5) (meet ?6 ?3)) ?3)) (meet (join (meet ?3 (meet (meet (join ?3 ?5) (join ?6 ?3)) ?3)) (meet ?7 (join ?3 (meet (meet (join ?3 ?5) (join ?6 ?3)) ?3)))) (join ?2 (join (join (meet ?3 ?5) (meet ?6 ?3)) ?3)))) (join (join (meet ?2 ?3) (meet ?3 (join ?2 ?3))) ?4)) =>= ?3 [7, 6, 5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5 ?6 ?7
Id :   3, {_}: join (meet (join (meet ?9 ?10) (meet ?10 (join ?9 ?10))) ?11) (meet (join (meet ?9 (join (join (meet ?10 ?12) (meet ?13 ?10)) ?10)) (meet (join (meet ?10 (meet (meet (join ?10 ?12) (join ?13 ?10)) ?10)) (meet ?14 (join ?10 (meet (meet (join ?10 ?12) (join ?13 ?10)) ?10)))) (join ?9 (join (join (meet ?10 ?12) (meet ?13 ?10)) ?10)))) (join (join (meet ?9 ?10) (meet ?10 (join ?9 ?10))) ?11)) =>= ?10 [14, 13, 12, 11, 10, 9] by single_axiom ?9 ?10 ?11 ?12 ?13 ?14
Id :  10, {_}: join (meet (join (meet ?81 (join (meet ?82 ?83) (meet ?83 (join ?82 ?83)))) (meet (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))) (join ?81 (join (meet ?82 ?83) (meet ?83 (join ?82 ?83)))))) ?84) (meet (join (meet ?81 (join (join (meet (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))) ?85) (meet ?86 (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))))) (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))))) (meet ?83 (join ?81 (join (join (meet (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))) ?85) (meet ?86 (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))))) (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))))))) (join (join (meet ?81 (join (meet ?82 ?83) (meet ?83 (join ?82 ?83)))) (meet (join (meet ?82 ?83) (meet ?83 (join ?82 ?83))) (join ?81 (join (meet ?82 ?83) (meet ?83 (join ?82 ?83)))))) ?84)) =>= join (meet ?82 ?83) (meet ?83 (join ?82 ?83)) [86, 85, 84, 83, 82, 81] by Super 3 with 2 at 1,2,1,2,2
Id :  31, {_}: join (meet (join (meet ?205 (join (meet ?206 ?207) (meet ?207 (join ?206 ?207)))) (meet (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))) (join ?205 (join (meet ?206 ?207) (meet ?207 (join ?206 ?207)))))) ?208) (meet (join (meet ?205 (join (join (meet (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))) ?209) (meet ?210 (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))))) (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))))) (meet ?207 (join ?205 (join (join (meet (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))) ?209) (meet ?210 (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))))) (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))))))) (join (join (meet ?205 (join (meet ?206 ?207) (meet ?207 (join ?206 ?207)))) (meet (join (meet ?206 ?207) (meet ?207 (join ?206 ?207))) (join ?205 (join (meet ?206 ?207) (meet ?207 (join ?206 ?207)))))) ?208)) =>= join (meet ?206 ?207) (meet ?207 (join ?206 ?207)) [210, 209, 208, 207, 206, 205] by Super 3 with 2 at 1,2,1,2,2
Id :  34, {_}: join (meet (join (meet ?234 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))))) (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))))))) ?240) (meet (join (meet ?234 (join (join (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) ?241) (meet ?242 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))))) (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join ?234 (join (join (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) ?241) (meet ?242 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))))) (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))))))) (join (join (meet ?234 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))))) (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 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?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [242, 241, 240, 239, 238, 237, 236, 235, 234] by Super 31 with 2 at 2,2,2,1,2,2,2
Id : 116, {_}: join (meet (join (meet ?234 ?236) (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) 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?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [242, 241, 240, 239, 238, 237, 235, 236, 234] by Demod 34 with 2 at 2,1,1,1,2
Id : 117, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 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(meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 ?236))) ?240)) =>= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [242, 241, 240, 239, 238, 237, 235, 236, 234] by Demod 116 with 2 at 1,2,1,1,2
Id : 118, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet 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(meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 118 with 2 at 1,1,1,2,1,1,2,2
Id : 120, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join 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?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 119 with 2 at 2,2,1,2,1,1,2,2
Id : 121, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join ?234 (join (join (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) 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?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 120 with 2 at 2,2,1,1,2,2
Id : 122, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join ?234 (join (join (meet ?236 ?241) (meet ?242 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))))) (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))))))) (join (join (meet ?234 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))))) (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 ?236))) ?240)) =>= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 121 with 2 at 1,1,1,2,2,2,1,2,2
Id : 123, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))))))) (join (join (meet ?234 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))))) (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 ?236))) ?240)) =>= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 122 with 2 at 2,2,1,2,2,2,1,2,2
Id : 124, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)))) (join (join (meet ?234 (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))))) (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 ?236))) ?240)) =>= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 123 with 2 at 2,2,2,2,1,2,2
Id : 125, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)))) (join (join (meet ?234 ?236) (meet (join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))))) (join ?234 ?236))) ?240)) =>= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 124 with 2 at 2,1,1,2,2,2
Id : 126, {_}: join (meet (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240) (meet (join (meet ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join ?234 (join (join (meet ?236 ?241) (meet ?242 ?236)) ?236)))) (join (join (meet ?234 ?236) (meet ?236 (join ?234 ?236))) ?240)) =?= join (meet (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236))))) (meet (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))) (join (join (meet ?235 ?236) (meet ?236 (join ?235 ?236))) (join (meet ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)) (meet (join (meet ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)) (meet ?239 (join ?236 (meet (meet (join ?236 ?237) (join ?238 ?236)) ?236)))) (join ?235 (join (join (meet ?236 ?237) (meet ?238 ?236)) ?236)))))) [239, 238, 237, 235, 242, 241, 240, 236, 234] by Demod 125 with 2 at 1,2,1,2,2,2
Id : 702, {_}: join (meet (join (meet ?1187 ?1188) (meet ?1188 (join ?1187 ?1188))) ?1189) (meet (join (meet ?1187 (join (join (meet ?1188 ?1190) (meet ?1191 ?1188)) ?1188)) (meet (join (meet ?1192 (join (join (meet ?1188 ?1193) (meet ?1194 ?1188)) ?1188)) (meet (join (meet ?1188 (meet (meet (join ?1188 ?1193) (join ?1194 ?1188)) ?1188)) (meet ?1195 (join ?1188 (meet (meet (join ?1188 ?1193) (join ?1194 ?1188)) ?1188)))) (join ?1192 (join (join (meet ?1188 ?1193) (meet ?1194 ?1188)) ?1188)))) (join ?1187 (join (join (meet ?1188 ?1190) (meet ?1191 ?1188)) ?1188)))) (join (join (meet ?1187 ?1188) (meet ?1188 (join ?1187 ?1188))) ?1189)) =>= ?1188 [1195, 1194, 1193, 1192, 1191, 1190, 1189, 1188, 1187] by Demod 126 with 2 at 3
Id : 724, {_}: join (meet (join (meet (join (meet ?1495 ?1496) (meet ?1496 (join ?1495 ?1496))) ?1496) (meet ?1496 (join (join (meet ?1495 ?1496) (meet ?1496 (join ?1495 ?1496))) ?1496))) ?1497) (meet ?1496 (join (join (meet (join (meet ?1495 ?1496) (meet ?1496 (join ?1495 ?1496))) ?1496) (meet ?1496 (join (join (meet ?1495 ?1496) (meet ?1496 (join ?1495 ?1496))) ?1496))) ?1497)) =>= ?1496 [1497, 1496, 1495] by Super 702 with 2 at 1,2,2
Id : 1054, {_}: join (meet (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))))) ?1599) (meet (join (meet ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1601, 1600, 1599, 1598, 1597, 1596] by Super 10 with 724 at 2,2,2,1,2,2,2
Id : 1166, {_}: join (meet (join (meet ?1596 ?1598) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))))) ?1599) (meet (join (meet ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1601, 1600, 1599, 1597, 1598, 1596] by Demod 1054 with 724 at 2,1,1,1,2
Id : 1167, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))))) ?1599) (meet (join (meet ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1601, 1600, 1599, 1597, 1598, 1596] by Demod 1166 with 724 at 1,2,1,1,2
Id : 1168, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1601, 1600, 1597, 1599, 1598, 1596] by Demod 1167 with 724 at 2,2,2,1,1,2
Id : 1169, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1168 with 724 at 1,1,1,2,1,1,2,2
Id : 1170, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1169 with 724 at 2,2,1,2,1,1,2,2
Id : 1171, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1170 with 724 at 2,2,1,1,2,2
Id : 1172, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1171 with 724 at 1,1,1,2,2,2,1,2,2
Id : 1173, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))))))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1172 with 724 at 2,2,1,2,2,2,1,2,2
Id : 1174, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)))) (join (join (meet ?1596 (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)))) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1173 with 724 at 2,2,2,2,1,2,2
Id : 1175, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)))) (join (join (meet ?1596 ?1598) (meet (join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598))) (join ?1596 ?1598))) ?1599)) =>= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1174 with 724 at 2,1,1,2,2,2
Id : 1176, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)))) (join (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599)) =?= join (meet (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598) (meet ?1598 (join (join (meet (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598) (meet ?1598 (join (join (meet ?1597 ?1598) (meet ?1598 (join ?1597 ?1598))) ?1598))) ?1598)) [1597, 1601, 1600, 1599, 1598, 1596] by Demod 1175 with 724 at 1,2,1,2,2,2
Id : 2455, {_}: join (meet (join (meet ?3676 ?3677) (meet ?3677 (join ?3676 ?3677))) ?3678) (meet (join (meet ?3676 (join (join (meet ?3677 ?3679) (meet ?3680 ?3677)) ?3677)) (meet ?3677 (join ?3676 (join (join (meet ?3677 ?3679) (meet ?3680 ?3677)) ?3677)))) (join (join (meet ?3676 ?3677) (meet ?3677 (join ?3676 ?3677))) ?3678)) =>= ?3677 [3680, 3679, 3678, 3677, 3676] by Demod 1176 with 724 at 3
Id : 1177, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet (join (meet ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)) (meet ?1598 (join ?1596 (join (join (meet ?1598 ?1600) (meet ?1601 ?1598)) ?1598)))) (join (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599)) =>= ?1598 [1601, 1600, 1599, 1598, 1596] by Demod 1176 with 724 at 3
Id : 2468, {_}: join (meet (join (meet (join (meet ?3785 ?3786) (meet ?3786 (join ?3785 ?3786))) (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786))))) (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) (join (join (meet ?3785 ?3786) (meet ?3786 (join ?3785 ?3786))) (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786))))))) ?3789) (meet (join (meet (join (meet ?3785 ?3786) (meet ?3786 (join ?3785 ?3786))) (join (join (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) ?3790) (meet ?3791 (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))) (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))) (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) (join (join (meet ?3785 ?3786) (meet ?3786 (join ?3785 ?3786))) (join (join (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) ?3790) (meet ?3791 (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))) (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))))) (join ?3786 ?3789)) =>= join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786))) [3791, 3790, 3789, 3788, 3787, 3786, 3785] by Super 2455 with 1177 at 1,2,2,2
Id : 2844, {_}: join (meet ?3786 ?3789) (meet (join (meet (join (meet ?3785 ?3786) (meet ?3786 (join ?3785 ?3786))) (join (join (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) ?3790) (meet ?3791 (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))) (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))) (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) (join (join (meet ?3785 ?3786) (meet ?3786 (join ?3785 ?3786))) (join (join (meet (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))) ?3790) (meet ?3791 (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))) (join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)))))))) (join ?3786 ?3789)) =>= join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786))) [3791, 3790, 3788, 3787, 3785, 3789, 3786] by Demod 2468 with 1177 at 1,1,2
Id : 2845, {_}: join (meet ?3786 ?3789) (meet ?3786 (join ?3786 ?3789)) =?= join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786))) [3788, 3787, 3785, 3789, 3786] by Demod 2844 with 1177 at 1,2,2
Id : 1101, {_}: join (meet (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1978) (meet ?1977 (join (join (meet (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977) (meet ?1977 (join (join (meet ?1976 ?1977) (meet ?1977 (join ?1976 ?1977))) ?1977))) ?1978)) =>= ?1977 [1978, 1977, 1976] by Super 702 with 2 at 1,2,2
Id : 1118, {_}: join (meet (join (meet (join (meet (join (meet ?2100 ?2101) (meet ?2101 (join ?2100 ?2101))) ?2101) (meet ?2101 (join (join (meet ?2100 ?2101) (meet ?2101 (join ?2100 ?2101))) ?2101))) ?2101) (meet ?2101 (join (join (meet (join (meet ?2100 ?2101) (meet ?2101 (join ?2100 ?2101))) ?2101) (meet ?2101 (join (join (meet ?2100 ?2101) (meet ?2101 (join ?2100 ?2101))) ?2101))) ?2101))) ?2102) (meet ?2101 (join ?2101 ?2102)) =>= ?2101 [2102, 2101, 2100] by Super 1101 with 724 at 1,2,2,2
Id : 1490, {_}: join (meet ?2101 ?2102) (meet ?2101 (join ?2101 ?2102)) =>= ?2101 [2102, 2101] by Demod 1118 with 724 at 1,1,2
Id : 2846, {_}: ?3786 =<= join (meet ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786)) (meet ?3786 (join ?3785 (join (join (meet ?3786 ?3787) (meet ?3788 ?3786)) ?3786))) [3788, 3787, 3785, 3786] by Demod 2845 with 1490 at 2
Id : 2892, {_}: join (meet (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599) (meet ?1598 (join (join (meet ?1596 ?1598) (meet ?1598 (join ?1596 ?1598))) ?1599)) =>= ?1598 [1599, 1598, 1596] by Demod 1177 with 2846 at 1,2,2
Id : 2917, {_}: join (meet ?4140 (join (join (meet ?4141 ?4142) (meet ?4143 ?4141)) ?4141)) (meet (join (meet ?4141 (meet (meet (join ?4141 ?4142) (join ?4143 ?4141)) ?4141)) (meet ?4144 (join ?4141 (meet (meet (join ?4141 ?4142) (join ?4143 ?4141)) ?4141)))) (join ?4140 (join (join (meet ?4141 ?4142) (meet ?4143 ?4141)) ?4141))) =>= ?4141 [4144, 4143, 4142, 4141, 4140] by Super 2 with 2846 at 2
Id : 3327, {_}: ?4574 =<= join (meet ?4574 (meet (meet (join ?4574 ?4575) (join ?4576 ?4574)) ?4574)) (meet ?4577 (join ?4574 (meet (meet (join ?4574 ?4575) (join ?4576 ?4574)) ?4574))) [4577, 4576, 4575, 4574] by Super 2892 with 2917 at 2
Id : 3603, {_}: join (meet ?5256 ?5257) (meet ?5257 (join ?5256 ?5257)) =>= ?5257 [5257, 5256] by Super 2892 with 3327 at 2
Id : 3994, {_}: ?5513 =<= meet (meet (join ?5513 ?5514) (join ?5515 ?5513)) ?5513 [5515, 5514, 5513] by Super 3327 with 3603 at 3
Id : 4014, {_}: ?4574 =<= join (meet ?4574 ?4574) (meet ?4577 (join ?4574 (meet (meet (join ?4574 ?4575) (join ?4576 ?4574)) ?4574))) [4576, 4575, 4577, 4574] by Demod 3327 with 3994 at 2,1,3
Id : 4015, {_}: ?4574 =<= join (meet ?4574 ?4574) (meet ?4577 (join ?4574 ?4574)) [4577, 4574] by Demod 4014 with 3994 at 2,2,2,3
Id : 4250, {_}: join ?5957 (meet ?5957 (join (meet (join ?5957 ?5958) (join ?5959 ?5957)) ?5957)) =>= ?5957 [5959, 5958, 5957] by Super 3603 with 3994 at 1,2
Id : 4017, {_}: join ?5557 (meet ?5557 (join (meet (join ?5557 ?5558) (join ?5559 ?5557)) ?5557)) =>= ?5557 [5559, 5558, 5557] by Super 3603 with 3994 at 1,2
Id : 4265, {_}: join ?6023 (meet ?6023 (join (meet ?6023 (join ?6024 ?6023)) ?6023)) =>= ?6023 [6024, 6023] by Super 4250 with 4017 at 1,1,2,2,2
Id : 4599, {_}: join (meet ?6423 (meet ?6423 (join (meet ?6423 (join ?6424 ?6423)) ?6423))) (meet ?6423 ?6423) =>= ?6423 [6424, 6423] by Super 1490 with 4265 at 2,2,2
Id : 4299, {_}: ?6141 =<= meet (meet ?6141 (join ?6142 ?6141)) ?6141 [6142, 6141] by Super 3994 with 4017 at 1,1,3
Id : 4304, {_}: meet ?6158 (join ?6159 ?6158) =<= meet (meet (meet ?6158 (join ?6159 ?6158)) ?6158) (meet ?6158 (join ?6159 ?6158)) [6159, 6158] by Super 4299 with 3603 at 2,1,3
Id : 4244, {_}: ?5934 =<= meet (meet ?5934 (join ?5935 ?5934)) ?5934 [5935, 5934] by Super 3994 with 4017 at 1,1,3
Id : 4357, {_}: meet ?6158 (join ?6159 ?6158) =<= meet ?6158 (meet ?6158 (join ?6159 ?6158)) [6159, 6158] by Demod 4304 with 4244 at 1,3
Id : 4633, {_}: join (meet ?6423 (join (meet ?6423 (join ?6424 ?6423)) ?6423)) (meet ?6423 ?6423) =>= ?6423 [6424, 6423] by Demod 4599 with 4357 at 1,2
Id : 5654, {_}: ?7568 =<= join (meet ?7569 (join (join (meet ?7568 (join (meet ?7568 (join ?7570 ?7568)) ?7568)) (meet ?7568 ?7568)) ?7568)) (meet ?7568 (join ?7569 (join ?7568 ?7568))) [7570, 7569, 7568] by Super 2846 with 4633 at 1,2,2,2,3
Id : 5717, {_}: ?7568 =<= join (meet ?7569 (join ?7568 ?7568)) (meet ?7568 (join ?7569 (join ?7568 ?7568))) [7569, 7568] by Demod 5654 with 4633 at 1,2,1,3
Id : 8505, {_}: join ?9550 ?9550 =>= ?9550 [9550] by Super 4015 with 5717 at 3
Id : 8662, {_}: ?9653 =<= join (meet (join (join (meet ?9653 ?9654) (meet ?9655 ?9653)) ?9653) (join (join (meet ?9653 ?9654) (meet ?9655 ?9653)) ?9653)) (meet ?9653 (join (join (meet ?9653 ?9654) (meet ?9655 ?9653)) ?9653)) [9655, 9654, 9653] by Super 2846 with 8505 at 2,2,3
Id : 1594, {_}: join (meet ?2599 ?2600) (meet ?2599 (join ?2599 ?2600)) =>= ?2599 [2600, 2599] by Demod 1118 with 724 at 1,1,2
Id : 1599, {_}: join (meet (meet ?2630 ?2631) (meet ?2630 (join ?2630 ?2631))) (meet (meet ?2630 ?2631) ?2630) =>= meet ?2630 ?2631 [2631, 2630] by Super 1594 with 1490 at 2,2,2
Id : 5114, {_}: meet ?7036 (join ?7037 ?7037) =<= meet (meet (meet ?7036 (join ?7037 ?7037)) ?7037) (meet ?7036 (join ?7037 ?7037)) [7037, 7036] by Super 4299 with 4015 at 2,1,3
Id : 4016, {_}: ?5555 =<= join (meet ?5555 ?5555) (join ?5555 ?5555) [5555] by Super 4015 with 3994 at 2,3
Id : 4107, {_}: meet ?5754 ?5754 =<= meet (meet ?5754 (join ?5755 (meet ?5754 ?5754))) (meet ?5754 ?5754) [5755, 5754] by Super 3994 with 4016 at 1,1,3
Id : 5124, {_}: meet ?7066 (join (meet ?7066 ?7066) (meet ?7066 ?7066)) =<= meet (meet ?7066 ?7066) (meet ?7066 (join (meet ?7066 ?7066) (meet ?7066 ?7066))) [7066] by Super 5114 with 4107 at 1,3
Id : 4601, {_}: join (meet ?6429 (meet ?6429 (join (meet ?6429 (join ?6430 ?6429)) ?6429))) (meet (meet ?6429 (join (meet ?6429 (join ?6430 ?6429)) ?6429)) ?6429) =>= meet ?6429 (join (meet ?6429 (join ?6430 ?6429)) ?6429) [6430, 6429] by Super 3603 with 4265 at 2,2,2
Id : 4627, {_}: join (meet ?6429 (join (meet ?6429 (join ?6430 ?6429)) ?6429)) (meet (meet ?6429 (join (meet ?6429 (join ?6430 ?6429)) ?6429)) ?6429) =>= meet ?6429 (join (meet ?6429 (join ?6430 ?6429)) ?6429) [6430, 6429] by Demod 4601 with 4357 at 1,2
Id : 4628, {_}: join (meet ?6429 (join (meet ?6429 (join ?6430 ?6429)) ?6429)) ?6429 =>= meet ?6429 (join (meet ?6429 (join ?6430 ?6429)) ?6429) [6430, 6429] by Demod 4627 with 4244 at 2,2
Id : 1972, {_}: join (meet (meet (meet ?2837 ?2838) (meet ?2837 (join ?2837 ?2838))) (meet (meet ?2837 ?2838) ?2837)) (meet (meet (meet ?2837 ?2838) (meet ?2837 (join ?2837 ?2838))) (meet ?2837 ?2838)) =>= meet (meet ?2837 ?2838) (meet ?2837 (join ?2837 ?2838)) [2838, 2837] by Super 1490 with 1599 at 2,2,2
Id : 5646, {_}: meet ?7542 ?7542 =<= meet (meet ?7542 ?7542) (meet ?7542 ?7542) [7542] by Super 4107 with 4633 at 2,1,3
Id : 5765, {_}: join (meet (meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet ?7691 ?7691))) (meet (meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet ?7691 ?7691)) =>= meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) [7691] by Super 1972 with 5646 at 2,2,2
Id : 5836, {_}: join (meet (meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet ?7691 ?7691))) (meet (meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet ?7691 ?7691)) =>= meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) [7691] by Demod 5765 with 5646 at 1,1,1,2
Id : 5837, {_}: join (meet (meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet (meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet ?7691 ?7691)) =>= meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) [7691] by Demod 5836 with 5646 at 1,2,1,2
Id : 5838, {_}: join (meet (meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet (meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet ?7691 ?7691)) =>= meet (meet (meet ?7691 ?7691) (meet ?7691 ?7691)) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) [7691] by Demod 5837 with 5646 at 1,1,2,2
Id : 5839, {_}: join (meet (meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet (meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet ?7691 ?7691)) =>= meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) [7691] by Demod 5838 with 5646 at 1,3
Id : 5840, {_}: join (meet (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet (meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet ?7691 ?7691)) =>= meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) [7691] by Demod 5839 with 4357 at 1,1,2
Id : 5841, {_}: join (meet (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet ?7691 ?7691)) (meet (meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)))) (meet ?7691 ?7691)) =>= meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) [7691] by Demod 5840 with 5646 at 2,1,2
Id : 5842, {_}: join (meet (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet ?7691 ?7691)) (meet (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet ?7691 ?7691)) =>= meet (meet ?7691 ?7691) (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) [7691] by Demod 5841 with 4357 at 1,2,2
Id : 5843, {_}: join (meet (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet ?7691 ?7691)) (meet (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet ?7691 ?7691)) =>= meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)) [7691] by Demod 5842 with 4357 at 3
Id : 5844, {_}: join (meet ?7691 ?7691) (meet (meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691))) (meet ?7691 ?7691)) =>= meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)) [7691] by Demod 5843 with 4244 at 1,2
Id : 5845, {_}: join (meet ?7691 ?7691) (meet ?7691 ?7691) =<= meet (meet ?7691 ?7691) (join (meet ?7691 ?7691) (meet ?7691 ?7691)) [7691] by Demod 5844 with 4244 at 2,2
Id : 6090, {_}: join (join (meet ?7953 ?7953) (meet ?7953 ?7953)) (meet (meet ?7953 ?7953) (join (meet ?7953 ?7953) (join (meet ?7953 ?7953) (meet ?7953 ?7953)))) =>= meet ?7953 ?7953 [7953] by Super 1490 with 5845 at 1,2
Id : 5775, {_}: meet ?7723 ?7723 =<= join (meet ?7723 ?7723) (join (meet ?7723 ?7723) (meet ?7723 ?7723)) [7723] by Super 4016 with 5646 at 1,3
Id : 6158, {_}: join (join (meet ?7953 ?7953) (meet ?7953 ?7953)) (meet (meet ?7953 ?7953) (meet ?7953 ?7953)) =>= meet ?7953 ?7953 [7953] by Demod 6090 with 5775 at 2,2,2
Id : 6159, {_}: join (join (meet ?7953 ?7953) (meet ?7953 ?7953)) (meet ?7953 ?7953) =>= meet ?7953 ?7953 [7953] by Demod 6158 with 5646 at 2,2
Id : 6371, {_}: join (meet (meet ?8123 ?8123) (join (meet (meet ?8123 ?8123) (meet ?8123 ?8123)) (meet ?8123 ?8123))) (meet ?8123 ?8123) =<= meet (meet ?8123 ?8123) (join (meet (meet ?8123 ?8123) (join (join (meet ?8123 ?8123) (meet ?8123 ?8123)) (meet ?8123 ?8123))) (meet ?8123 ?8123)) [8123] by Super 4628 with 6159 at 2,1,2,1,2
Id : 6404, {_}: join (meet (meet ?8123 ?8123) (join (meet ?8123 ?8123) (meet ?8123 ?8123))) (meet ?8123 ?8123) =<= meet (meet ?8123 ?8123) (join (meet (meet ?8123 ?8123) (join (join (meet ?8123 ?8123) (meet ?8123 ?8123)) (meet ?8123 ?8123))) (meet ?8123 ?8123)) [8123] by Demod 6371 with 5646 at 1,2,1,2
Id : 6405, {_}: join (meet (meet ?8123 ?8123) (join (meet ?8123 ?8123) (meet ?8123 ?8123))) (meet ?8123 ?8123) =>= meet (meet ?8123 ?8123) (join (meet (meet ?8123 ?8123) (meet ?8123 ?8123)) (meet ?8123 ?8123)) [8123] by Demod 6404 with 6159 at 2,1,2,3
Id : 6406, {_}: join (join (meet ?8123 ?8123) (meet ?8123 ?8123)) (meet ?8123 ?8123) =<= meet (meet ?8123 ?8123) (join (meet (meet ?8123 ?8123) (meet ?8123 ?8123)) (meet ?8123 ?8123)) [8123] by Demod 6405 with 5845 at 1,2
Id : 6407, {_}: join (join (meet ?8123 ?8123) (meet ?8123 ?8123)) (meet ?8123 ?8123) =>= meet (meet ?8123 ?8123) (join (meet ?8123 ?8123) (meet ?8123 ?8123)) [8123] by Demod 6406 with 5646 at 1,2,3
Id : 6408, {_}: meet ?8123 ?8123 =<= meet (meet ?8123 ?8123) (join (meet ?8123 ?8123) (meet ?8123 ?8123)) [8123] by Demod 6407 with 6159 at 2
Id : 6409, {_}: meet ?8123 ?8123 =<= join (meet ?8123 ?8123) (meet ?8123 ?8123) [8123] by Demod 6408 with 5845 at 3
Id : 7067, {_}: meet ?7066 (meet ?7066 ?7066) =<= meet (meet ?7066 ?7066) (meet ?7066 (join (meet ?7066 ?7066) (meet ?7066 ?7066))) [7066] by Demod 5124 with 6409 at 2,2
Id : 7068, {_}: meet ?7066 (meet ?7066 ?7066) =<= meet (meet ?7066 ?7066) (meet ?7066 (meet ?7066 ?7066)) [7066] by Demod 7067 with 6409 at 2,2,3
Id : 7080, {_}: join (meet (meet (meet ?8706 ?8706) (meet ?8706 (meet ?8706 ?8706))) (meet (meet ?8706 ?8706) (join (meet ?8706 ?8706) (meet ?8706 (meet ?8706 ?8706))))) (meet (meet ?8706 (meet ?8706 ?8706)) (meet ?8706 ?8706)) =>= meet (meet ?8706 ?8706) (meet ?8706 (meet ?8706 ?8706)) [8706] by Super 1599 with 7068 at 1,2,2
Id : 7097, {_}: join (meet (meet ?8706 (meet ?8706 ?8706)) (meet (meet ?8706 ?8706) (join (meet ?8706 ?8706) (meet ?8706 (meet ?8706 ?8706))))) (meet (meet ?8706 (meet ?8706 ?8706)) (meet ?8706 ?8706)) =>= meet (meet ?8706 ?8706) (meet ?8706 (meet ?8706 ?8706)) [8706] by Demod 7080 with 7068 at 1,1,2
Id : 6508, {_}: meet ?8193 ?8193 =<= join (meet (meet ?8193 ?8193) (meet ?8193 ?8193)) (meet ?8194 (meet ?8193 ?8193)) [8194, 8193] by Super 4015 with 6409 at 2,2,3
Id : 6644, {_}: meet ?8193 ?8193 =<= join (meet ?8193 ?8193) (meet ?8194 (meet ?8193 ?8193)) [8194, 8193] by Demod 6508 with 5646 at 1,3
Id : 7098, {_}: join (meet (meet ?8706 (meet ?8706 ?8706)) (meet (meet ?8706 ?8706) (meet ?8706 ?8706))) (meet (meet ?8706 (meet ?8706 ?8706)) (meet ?8706 ?8706)) =>= meet (meet ?8706 ?8706) (meet ?8706 (meet ?8706 ?8706)) [8706] by Demod 7097 with 6644 at 2,2,1,2
Id : 6520, {_}: meet ?8223 ?8223 =<= meet (meet ?8223 (meet ?8223 ?8223)) (meet ?8223 ?8223) [8223] by Super 4107 with 6409 at 2,1,3
Id : 7099, {_}: join (meet (meet ?8706 (meet ?8706 ?8706)) (meet (meet ?8706 ?8706) (meet ?8706 ?8706))) (meet ?8706 ?8706) =>= meet (meet ?8706 ?8706) (meet ?8706 (meet ?8706 ?8706)) [8706] by Demod 7098 with 6520 at 2,2
Id : 7100, {_}: join (meet (meet ?8706 (meet ?8706 ?8706)) (meet (meet ?8706 ?8706) (meet ?8706 ?8706))) (meet ?8706 ?8706) =>= meet ?8706 (meet ?8706 ?8706) [8706] by Demod 7099 with 7068 at 3
Id : 7101, {_}: join (meet (meet ?8706 (meet ?8706 ?8706)) (meet ?8706 ?8706)) (meet ?8706 ?8706) =>= meet ?8706 (meet ?8706 ?8706) [8706] by Demod 7100 with 5646 at 2,1,2
Id : 7102, {_}: join (meet ?8706 ?8706) (meet ?8706 ?8706) =>= meet ?8706 (meet ?8706 ?8706) [8706] by Demod 7101 with 6520 at 1,2
Id : 7103, {_}: meet ?8706 ?8706 =<= meet ?8706 (meet ?8706 ?8706) [8706] by Demod 7102 with 6409 at 2
Id : 7221, {_}: join (meet ?8760 ?8760) (meet ?8760 (join ?8760 (meet ?8760 ?8760))) =>= ?8760 [8760] by Super 1490 with 7103 at 1,2
Id : 4105, {_}: join (meet (meet ?5749 ?5749) (join ?5749 ?5749)) (meet (join ?5749 ?5749) ?5749) =>= join ?5749 ?5749 [5749] by Super 3603 with 4016 at 2,2,2
Id : 8587, {_}: join (meet (meet ?5749 ?5749) ?5749) (meet (join ?5749 ?5749) ?5749) =>= join ?5749 ?5749 [5749] by Demod 4105 with 8505 at 2,1,2
Id : 8588, {_}: join (meet (meet ?5749 ?5749) ?5749) (meet ?5749 ?5749) =>= join ?5749 ?5749 [5749] by Demod 8587 with 8505 at 1,2,2
Id : 8589, {_}: join (meet (meet ?5749 ?5749) ?5749) (meet ?5749 ?5749) =>= ?5749 [5749] by Demod 8588 with 8505 at 3
Id : 4106, {_}: join ?5751 ?5751 =<= meet (meet (join (join ?5751 ?5751) ?5752) ?5751) (join ?5751 ?5751) [5752, 5751] by Super 3994 with 4016 at 2,1,3
Id : 4242, {_}: join ?5927 ?5927 =<= meet (meet (join ?5927 ?5927) ?5927) (join ?5927 ?5927) [5927] by Super 4106 with 4017 at 1,1,3
Id : 8576, {_}: ?5927 =<= meet (meet (join ?5927 ?5927) ?5927) (join ?5927 ?5927) [5927] by Demod 4242 with 8505 at 2
Id : 8577, {_}: ?5927 =<= meet (meet ?5927 ?5927) (join ?5927 ?5927) [5927] by Demod 8576 with 8505 at 1,1,3
Id : 8578, {_}: ?5927 =<= meet (meet ?5927 ?5927) ?5927 [5927] by Demod 8577 with 8505 at 2,3
Id : 8604, {_}: join ?5749 (meet ?5749 ?5749) =>= ?5749 [5749] by Demod 8589 with 8578 at 1,2
Id : 8605, {_}: join (meet ?8760 ?8760) (meet ?8760 ?8760) =>= ?8760 [8760] by Demod 7221 with 8604 at 2,2,2
Id : 8606, {_}: meet ?8760 ?8760 =>= ?8760 [8760] by Demod 8605 with 8505 at 2
Id : 8767, {_}: ?9653 =<= join (join (join (meet ?9653 ?9654) (meet ?9655 ?9653)) ?9653) (meet ?9653 (join (join (meet ?9653 ?9654) (meet ?9655 ?9653)) ?9653)) [9655, 9654, 9653] by Demod 8662 with 8606 at 1,3
Id : 8580, {_}: ?4574 =<= join (meet ?4574 ?4574) (meet ?4577 ?4574) [4577, 4574] by Demod 4015 with 8505 at 2,2,3
Id : 8625, {_}: ?4574 =<= join ?4574 (meet ?4577 ?4574) [4577, 4574] by Demod 8580 with 8606 at 1,3
Id : 8768, {_}: ?9653 =<= join (join (meet ?9653 ?9654) (meet ?9655 ?9653)) ?9653 [9655, 9654, 9653] by Demod 8767 with 8625 at 3
Id : 8832, {_}: join (meet (join (meet ?9751 ?9752) (meet ?9753 ?9751)) ?9751) (meet (join (meet ?9751 ?9752) (meet ?9753 ?9751)) ?9751) =>= join (meet ?9751 ?9752) (meet ?9753 ?9751) [9753, 9752, 9751] by Super 1490 with 8768 at 2,2,2
Id : 8936, {_}: meet (join (meet ?9970 ?9971) (meet ?9972 ?9970)) ?9970 =>= join (meet ?9970 ?9971) (meet ?9972 ?9970) [9972, 9971, 9970] by Demod 8832 with 8505 at 2
Id : 8937, {_}: meet (join (meet ?9974 ?9975) ?9974) ?9974 =<= join (meet ?9974 ?9975) (meet ?9974 ?9974) [9975, 9974] by Super 8936 with 8606 at 2,1,2
Id : 9159, {_}: meet (join (meet ?10167 ?10168) ?10167) ?10167 =>= join (meet ?10167 ?10168) ?10167 [10168, 10167] by Demod 8937 with 8606 at 2,3
Id : 8581, {_}: ?5751 =<= meet (meet (join (join ?5751 ?5751) ?5752) ?5751) (join ?5751 ?5751) [5752, 5751] by Demod 4106 with 8505 at 2
Id : 8582, {_}: ?5751 =<= meet (meet (join ?5751 ?5752) ?5751) (join ?5751 ?5751) [5752, 5751] by Demod 8581 with 8505 at 1,1,1,3
Id : 8583, {_}: ?5751 =<= meet (meet (join ?5751 ?5752) ?5751) ?5751 [5752, 5751] by Demod 8582 with 8505 at 2,3
Id : 9170, {_}: meet (join ?10201 (meet (join ?10201 ?10202) ?10201)) (meet (join ?10201 ?10202) ?10201) =<= join (meet (meet (join ?10201 ?10202) ?10201) ?10201) (meet (join ?10201 ?10202) ?10201) [10202, 10201] by Super 9159 with 8583 at 1,1,2
Id : 9274, {_}: meet ?10201 (meet (join ?10201 ?10202) ?10201) =<= join (meet (meet (join ?10201 ?10202) ?10201) ?10201) (meet (join ?10201 ?10202) ?10201) [10202, 10201] by Demod 9170 with 8625 at 1,2
Id : 9275, {_}: meet ?10201 (meet (join ?10201 ?10202) ?10201) =<= join ?10201 (meet (join ?10201 ?10202) ?10201) [10202, 10201] by Demod 9274 with 8583 at 1,3
Id : 5123, {_}: meet (join ?7063 ?7064) (join ?7063 ?7063) =<= meet ?7063 (meet (join ?7063 ?7064) (join ?7063 ?7063)) [7064, 7063] by Super 5114 with 3994 at 1,3
Id : 8567, {_}: meet (join ?7063 ?7064) ?7063 =<= meet ?7063 (meet (join ?7063 ?7064) (join ?7063 ?7063)) [7064, 7063] by Demod 5123 with 8505 at 2,2
Id : 8568, {_}: meet (join ?7063 ?7064) ?7063 =<= meet ?7063 (meet (join ?7063 ?7064) ?7063) [7064, 7063] by Demod 8567 with 8505 at 2,2,3
Id : 9276, {_}: meet (join ?10201 ?10202) ?10201 =<= join ?10201 (meet (join ?10201 ?10202) ?10201) [10202, 10201] by Demod 9275 with 8568 at 2
Id : 9277, {_}: meet (join ?10201 ?10202) ?10201 =>= ?10201 [10202, 10201] by Demod 9276 with 8625 at 3
Id : 11746, {_}: join ?13518 ?13519 =<= join (join ?13518 (meet ?13520 (join ?13518 ?13519))) (join ?13518 ?13519) [13520, 13519, 13518] by Super 8768 with 9277 at 1,1,3
Id : 5213, {_}: meet (join ?7149 ?7150) (join ?7149 ?7149) =<= meet ?7149 (meet (join ?7149 ?7150) (join ?7149 ?7149)) [7150, 7149] by Super 5114 with 3994 at 1,3
Id : 5218, {_}: meet (join (meet ?7166 ?7167) (meet ?7167 (join ?7166 ?7167))) (join (meet ?7166 ?7167) (meet ?7166 ?7167)) =>= meet (meet ?7166 ?7167) (meet ?7167 (join (meet ?7166 ?7167) (meet ?7166 ?7167))) [7167, 7166] by Super 5213 with 3603 at 1,2,3
Id : 5280, {_}: meet ?7167 (join (meet ?7166 ?7167) (meet ?7166 ?7167)) =<= meet (meet ?7166 ?7167) (meet ?7167 (join (meet ?7166 ?7167) (meet ?7166 ?7167))) [7166, 7167] by Demod 5218 with 3603 at 1,2
Id : 8599, {_}: meet ?7167 (meet ?7166 ?7167) =<= meet (meet ?7166 ?7167) (meet ?7167 (join (meet ?7166 ?7167) (meet ?7166 ?7167))) [7166, 7167] by Demod 5280 with 8505 at 2,2
Id : 8600, {_}: meet ?7167 (meet ?7166 ?7167) =<= meet (meet ?7166 ?7167) (meet ?7167 (meet ?7166 ?7167)) [7166, 7167] by Demod 8599 with 8505 at 2,2,3
Id : 9092, {_}: meet (join (meet ?9974 ?9975) ?9974) ?9974 =>= join (meet ?9974 ?9975) ?9974 [9975, 9974] by Demod 8937 with 8606 at 2,3
Id : 9140, {_}: ?10108 =<= join ?10108 (join (meet ?10108 ?10109) ?10108) [10109, 10108] by Super 8625 with 9092 at 2,3
Id : 9413, {_}: join (meet (meet ?10366 (join (meet ?10366 ?10367) ?10366)) (meet ?10366 ?10366)) (meet (meet ?10366 (join (meet ?10366 ?10367) ?10366)) ?10366) =>= meet ?10366 (join (meet ?10366 ?10367) ?10366) [10367, 10366] by Super 1599 with 9140 at 2,2,1,2
Id : 9473, {_}: join (meet (meet ?10366 (join (meet ?10366 ?10367) ?10366)) ?10366) (meet (meet ?10366 (join (meet ?10366 ?10367) ?10366)) ?10366) =>= meet ?10366 (join (meet ?10366 ?10367) ?10366) [10367, 10366] by Demod 9413 with 8606 at 2,1,2
Id : 9474, {_}: join (meet (meet ?10366 (join (meet ?10366 ?10367) ?10366)) ?10366) ?10366 =>= meet ?10366 (join (meet ?10366 ?10367) ?10366) [10367, 10366] by Demod 9473 with 4244 at 2,2
Id : 9475, {_}: join ?10366 ?10366 =<= meet ?10366 (join (meet ?10366 ?10367) ?10366) [10367, 10366] by Demod 9474 with 4244 at 1,2
Id : 9476, {_}: ?10366 =<= meet ?10366 (join (meet ?10366 ?10367) ?10366) [10367, 10366] by Demod 9475 with 8505 at 2
Id : 9701, {_}: meet (join (meet ?10626 ?10627) ?10626) (meet ?10626 (join (meet ?10626 ?10627) ?10626)) =<= meet (meet ?10626 (join (meet ?10626 ?10627) ?10626)) (meet (join (meet ?10626 ?10627) ?10626) ?10626) [10627, 10626] by Super 8600 with 9476 at 2,2,3
Id : 9740, {_}: meet (join (meet ?10626 ?10627) ?10626) ?10626 =<= meet (meet ?10626 (join (meet ?10626 ?10627) ?10626)) (meet (join (meet ?10626 ?10627) ?10626) ?10626) [10627, 10626] by Demod 9701 with 9476 at 2,2
Id : 9741, {_}: meet (join (meet ?10626 ?10627) ?10626) ?10626 =<= meet ?10626 (meet (join (meet ?10626 ?10627) ?10626) ?10626) [10627, 10626] by Demod 9740 with 9476 at 1,3
Id : 9742, {_}: meet (join (meet ?10626 ?10627) ?10626) ?10626 =?= meet ?10626 (join (meet ?10626 ?10627) ?10626) [10627, 10626] by Demod 9741 with 9092 at 2,3
Id : 9743, {_}: join (meet ?10626 ?10627) ?10626 =<= meet ?10626 (join (meet ?10626 ?10627) ?10626) [10627, 10626] by Demod 9742 with 9092 at 2
Id : 9744, {_}: join (meet ?10626 ?10627) ?10626 =>= ?10626 [10627, 10626] by Demod 9743 with 9476 at 3
Id : 9898, {_}: join (meet (meet ?10737 ?10738) ?10737) (meet (meet ?10737 ?10738) ?10737) =>= meet ?10737 ?10738 [10738, 10737] by Super 1490 with 9744 at 2,2,2
Id : 9933, {_}: meet (meet ?10737 ?10738) ?10737 =>= meet ?10737 ?10738 [10738, 10737] by Demod 9898 with 8505 at 2
Id : 10148, {_}: ?5934 =<= meet ?5934 (join ?5935 ?5934) [5935, 5934] by Demod 4244 with 9933 at 3
Id : 10149, {_}: join (meet ?5256 ?5257) ?5257 =>= ?5257 [5257, 5256] by Demod 3603 with 10148 at 2,2
Id : 11750, {_}: join (meet ?13533 ?13534) ?13534 =<= join (join (meet ?13533 ?13534) (meet ?13535 (join (meet ?13533 ?13534) ?13534))) ?13534 [13535, 13534, 13533] by Super 11746 with 10149 at 2,3
Id : 11822, {_}: ?13534 =<= join (join (meet ?13533 ?13534) (meet ?13535 (join (meet ?13533 ?13534) ?13534))) ?13534 [13535, 13533, 13534] by Demod 11750 with 10149 at 2
Id : 11823, {_}: ?13534 =<= join (join (meet ?13533 ?13534) (meet ?13535 ?13534)) ?13534 [13535, 13533, 13534] by Demod 11822 with 10149 at 2,2,1,3
Id : 12050, {_}: b === b [] by Demod 1 with 11823 at 2
Id :   1, {_}: join (join (meet a b) (meet c b)) b =>= b [] by prove_wal_axioms_6
% SZS output end CNFRefutation for LAT097-1.p
12265: solved LAT097-1.p in 17.953121 using nrkbo
!! infer_left                                      80    0.0001    0.0000    0.0000
!! infer_right                                     81   72.2501   23.6372    0.8920
!! simplify_goal                                   81    0.0062    0.0004    0.0001
!! keep_simplified                                142    0.2180    0.0371    0.0015
!! simplification_step                            198    0.2170    0.0047    0.0011
!! simplify                                      5499   64.3156    0.9905    0.0117
!! orphan_murder                                  211    0.0060    0.0001    0.0000
!! is_subsumed                                   4220    2.0304    0.4048    0.0005
!! build_new_clause                              3061    7.6666    0.4151    0.0025
!! demodulate                                    5424   62.2700    0.9859    0.0115
!! demod                                       454882   36.5840    0.4057    0.0001
!! demod.apply_subst                            17812    0.8382    0.4002    0.0000
!! demod.retrieve_generalizations              454882   29.4107    0.4054    0.0001
!! demod.unify                                  67063    1.6638    0.3003    0.0000
!! build_clause                                 11967   27.8662    0.4095    0.0023
!! compare_terms(nrkbo)                         11969   12.3276    0.4051    0.0010
!! compare_terms(nrkbo)                             2    0.0001    0.0001    0.0000
12290: Facts:
12290:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
12290:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
12290:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
12290:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
12290:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
12290:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
12290:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
12290:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
12290:  Id :  10, {_}:
          meet ?26 (join ?27 (meet ?26 ?28))
          =<=
          meet ?26
            (join ?27
              (meet ?28 (join (meet ?26 (join ?27 ?28)) (meet ?27 ?28))))
          [28, 27, 26] by equation_H2 ?26 ?27 ?28
12290: Goal:
12290:  Id :   1, {_}:
          meet a (join b (meet a c))
          =<=
          meet a (join b (meet c (join b (meet a (join c (meet a b))))))
          [] by prove_H3
% SZS status Timeout for LAT098-1.p
12328: Facts:
12328:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
12328:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
12328:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
12328:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
12328:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
12328:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
12328:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
12328:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
12328:  Id :  10, {_}:
          meet ?26 (join ?27 (meet ?26 ?28))
          =<=
          meet ?26
            (join ?27
              (meet ?28 (join ?27 (meet ?26 (join ?28 (meet ?26 ?27))))))
          [28, 27, 26] by equation_H3 ?26 ?27 ?28
12328: Goal:
12328:  Id :   1, {_}:
          meet a (join b (meet a c))
          =<=
          meet a (join b (meet c (join (meet a (join b c)) (meet b c))))
          [] by prove_H2
% SZS status Timeout for LAT099-1.p
12356: Facts:
12356:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
12356:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
12356:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
12356:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
12356:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
12356:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
12356:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
12356:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
12356:  Id :  10, {_}:
          meet ?26 (join ?27 (meet ?26 ?28))
          =<=
          meet ?26
            (join (meet ?26 (join ?27 (meet ?26 ?28)))
              (meet ?28 (join ?26 ?27)))
          [28, 27, 26] by equation_H6 ?26 ?27 ?28
12356: Goal:
12356:  Id :   1, {_}:
          meet a (join b (meet a (join c d)))
          =<=
          meet a (join b (meet (join a (meet b d)) (join c d)))
          [] by prove_H4
% SZS status Timeout for LAT100-1.p
12405: Facts:
12405:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
12405:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
12405:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
12405:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
12405:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
12405:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
12405:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
12405:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
12405:  Id :  10, {_}:
          meet ?26 (join ?27 (meet ?26 ?28))
          =<=
          meet ?26
            (join (meet ?26 (join ?27 (meet ?26 ?28)))
              (meet ?28 (join ?26 ?27)))
          [28, 27, 26] by equation_H6 ?26 ?27 ?28
12405: Goal:
12405:  Id :   1, {_}:
          meet a (join b (meet a c))
          =<=
          meet a (join b (meet c (join a (meet b c))))
          [] by prove_H10
% SZS status Timeout for LAT101-1.p
12435: Facts:
12435:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
12435:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
12435:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
12435:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
12435:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
12435:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
12435:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
12435:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
12435:  Id :  10, {_}:
          meet ?26 (join ?27 (meet ?26 ?28))
          =<=
          meet ?26
            (join ?27
              (meet ?26 (join (meet ?26 ?27) (meet ?28 (join ?26 ?27)))))
          [28, 27, 26] by equation_H7 ?26 ?27 ?28
12435: Goal:
12435:  Id :   1, {_}:
          meet a (join b (meet a (join c d)))
          =<=
          meet a (join b (meet (join a (meet b d)) (join c d)))
          [] by prove_H4
% SZS status Timeout for LAT102-1.p
12476: Facts:
12476:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
12476:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
12476:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
12476:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
12476:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
12476:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
12476:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
12476:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
12476:  Id :  10, {_}:
          meet ?26 (join ?27 (meet ?26 ?28))
          =<=
          meet ?26 (join ?27 (meet ?28 (join ?26 (meet ?27 ?28))))
          [28, 27, 26] by equation_H10 ?26 ?27 ?28
12476: Goal:
12476:  Id :   1, {_}:
          meet a (join b (meet a c))
          =<=
          meet a (join (meet a (join b (meet a c))) (meet c (join a b)))
          [] by prove_H6
% SZS status Timeout for LAT103-1.p
12507: Facts:
12507:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
12507:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
12507:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
12507:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
12507:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
12507:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
12507:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
12507:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
12507:  Id :  10, {_}:
          join (meet ?26 ?27) (meet ?26 ?28)
          =<=
          meet ?26
            (join (meet ?27 (join ?26 (meet ?27 ?28)))
              (meet ?28 (join ?26 ?27)))
          [28, 27, 26] by equation_H21 ?26 ?27 ?28
12507: Goal:
12507:  Id :   1, {_}:
          meet a (join b (meet a c))
          =<=
          meet a (join b (meet c (join b (meet a (join c (meet a b))))))
          [] by prove_H3
% SZS status Timeout for LAT104-1.p
12559: Facts:
12559:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
12559:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
12559:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
12559:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
12559:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
12559:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
12559:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
12559:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
12559:  Id :  10, {_}:
          join (meet ?26 ?27) (meet ?26 ?28)
          =<=
          meet ?26
            (join (meet ?27 (join ?26 (meet ?27 ?28)))
              (meet ?28 (join ?26 ?27)))
          [28, 27, 26] by equation_H21 ?26 ?27 ?28
12559: Goal:
12559:  Id :   1, {_}:
          meet a (join b (meet a c))
          =<=
          meet a (join b (meet c (join a (meet b c))))
          [] by prove_H10
% SZS status Timeout for LAT105-1.p
12592: Facts:
12592:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
12592:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
12592:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
12592:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
12592:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
12592:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
12592:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
12592:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
12592:  Id :  10, {_}:
          join (meet ?26 ?27) (meet ?26 ?28)
          =<=
          meet ?26
            (join (meet ?27 (join ?28 (meet ?26 ?27)))
              (meet ?28 (join ?26 ?27)))
          [28, 27, 26] by equation_H22 ?26 ?27 ?28
12592: Goal:
12592:  Id :   1, {_}:
          meet a (join b (meet a c))
          =<=
          meet a (join b (meet c (join b (meet a (join c (meet a b))))))
          [] by prove_H3
% SZS status Timeout for LAT106-1.p
12705: Facts:
12705:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
12705:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
12705:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
12705:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
12705:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
12705:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
12705:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
12705:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
12705:  Id :  10, {_}:
          join (meet ?26 ?27) (meet ?26 ?28)
          =<=
          meet ?26
            (join (meet ?27 (join ?28 (meet ?26 ?27)))
              (meet ?28 (join ?26 ?27)))
          [28, 27, 26] by equation_H22 ?26 ?27 ?28
12705: Goal:
12705:  Id :   1, {_}:
          meet a (join (meet a b) (meet a c))
          =<=
          meet a (join (meet b (join a (meet b c))) (meet c (join a b)))
          [] by prove_H17
% SZS status Timeout for LAT107-1.p
12739: Facts:
12739:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
12739:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
12739:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
12739:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
12739:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
12739:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
12739:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
12739:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
12739:  Id :  10, {_}:
          meet ?26 (join ?27 (meet ?26 (meet ?28 ?29)))
          =<=
          meet ?26 (join ?27 (meet ?28 (meet ?29 (join ?27 (meet ?26 ?28)))))
          [29, 28, 27, 26] by equation_H31 ?26 ?27 ?28 ?29
12739: Goal:
12739:  Id :   1, {_}:
          meet a (join b (meet c (join a d)))
          =<=
          meet a (join b (meet c (join b (join d (meet a c)))))
          [] by prove_H42
% SZS status Timeout for LAT108-1.p
12781: Facts:
12781:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
12781:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
12781:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
12781:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
12781:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
12781:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
12781:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
12781:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
12781:  Id :  10, {_}:
          meet ?26 (join ?27 (join ?28 (meet ?26 ?29)))
          =<=
          meet ?26 (join ?27 (join ?28 (meet ?29 (join ?26 (meet ?27 ?28)))))
          [29, 28, 27, 26] by equation_H37 ?26 ?27 ?28 ?29
12781: Goal:
12781:  Id :   1, {_}:
          meet a (join b (meet c (join a d)))
          =<=
          meet a (join b (meet c (join d (meet c (join a b)))))
          [] by prove_H40
% SZS status Timeout for LAT109-1.p
12822: Facts:
12822:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
12822:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
12822:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
12822:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
12822:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
12822:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
12822:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
12822:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
12822:  Id :  10, {_}:
          meet ?26 (join ?27 (join ?28 (meet ?26 ?29)))
          =<=
          meet ?26 (join ?27 (join ?28 (meet ?29 (join ?26 (meet ?27 ?28)))))
          [29, 28, 27, 26] by equation_H37 ?26 ?27 ?28 ?29
12822: Goal:
12822:  Id :   1, {_}:
          meet a (join b (meet c (join a d)))
          =<=
          meet a (join b (meet c (join b (join d (meet a c)))))
          [] by prove_H42
% SZS status Timeout for LAT110-1.p
12854: Facts:
12854:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
12854:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
12854:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
12854:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
12854:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
12854:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
12854:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
12854:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
12854:  Id :  10, {_}:
          meet ?26 (meet ?27 (join ?28 (meet ?26 ?29)))
          =<=
          meet ?26 (meet ?27 (join ?28 (meet ?29 (join ?26 (meet ?27 ?28)))))
          [29, 28, 27, 26] by equation_H45 ?26 ?27 ?28 ?29
12854: Goal:
12854:  Id :   1, {_}:
          meet a (join b (meet c (join a d)))
          =<=
          meet a (join b (meet c (join d (meet c (join a b)))))
          [] by prove_H40
% SZS status Timeout for LAT111-1.p
12887: Facts:
12887:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
12887:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
12887:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
12887:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
12887:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
12887:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
12887:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
12887:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
12887:  Id :  10, {_}:
          meet ?26 (meet ?27 (join ?28 (meet ?27 ?29)))
          =<=
          meet ?26 (meet ?27 (join ?28 (meet ?29 (join ?27 (meet ?26 ?28)))))
          [29, 28, 27, 26] by equation_H47 ?26 ?27 ?28 ?29
12887: Goal:
12887:  Id :   1, {_}:
          meet a (join b (meet c (join a d)))
          =<=
          meet a (join b (meet c (join b (join d (meet a c)))))
          [] by prove_H42
% SZS status Timeout for LAT112-1.p
12920: Facts:
12920:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
12920:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
12920:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
12920:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
12920:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
12920:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
12920:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
12920:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
12920:  Id :  10, {_}:
          meet ?26 (join ?27 (meet ?28 (join ?26 ?29)))
          =<=
          meet ?26 (join ?27 (meet ?28 (join ?26 (meet ?28 (join ?27 ?29)))))
          [29, 28, 27, 26] by equation_H50 ?26 ?27 ?28 ?29
12920: Goal:
12920:  Id :   1, {_}:
          meet a (join b (meet c (join a d)))
          =<=
          meet a (join b (meet c (join d (meet c (join a b)))))
          [] by prove_H40
% SZS status Timeout for LAT113-1.p
12957: Facts:
12957:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
12957:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
12957:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
12957:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
12957:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
12957:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
12957:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
12957:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
12957:  Id :  10, {_}:
          join ?26 (meet ?27 (join ?26 ?28))
          =<=
          join ?26 (meet ?27 (join ?28 (meet ?26 (join ?28 ?27))))
          [28, 27, 26] by equation_H55 ?26 ?27 ?28
12957: Goal:
12957:  Id :   1, {_}:
          join (meet a b) (meet a (join b c))
          =<=
          meet a (join b (meet (join a b) (join c (meet a b))))
          [] by prove_H56
% SZS status Timeout for LAT114-1.p
12996: Facts:
12996:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
12996:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
12996:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
12996:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
12996:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
12996:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
12996:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
12996:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
12996:  Id :  10, {_}:
          join ?26 (meet ?27 (join ?26 ?28))
          =<=
          join ?26 (meet ?27 (join ?28 (meet ?26 (join ?28 ?27))))
          [28, 27, 26] by equation_H55 ?26 ?27 ?28
12996: Goal:
12996:  Id :   1, {_}:
          meet a (meet (join b c) (join b d))
          =<=
          meet a (join b (meet (join b d) (join c (meet a b))))
          [] by prove_H59
% SZS status Timeout for LAT115-1.p
13029: Facts:
13029:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
13029:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
13029:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
13029:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
13029:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
13029:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
13029:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
13029:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
13029:  Id :  10, {_}:
          join ?26 (meet ?27 (join ?26 ?28))
          =<=
          join ?26 (meet ?27 (join ?28 (meet ?26 (join ?28 ?27))))
          [28, 27, 26] by equation_H55 ?26 ?27 ?28
13029: Goal:
13029:  Id :   1, {_}:
          meet a (meet (join b c) (join b d))
          =<=
          meet a (join b (meet (join b c) (join d (meet a b))))
          [] by prove_H60
% SZS status Timeout for LAT116-1.p
13061: Facts:
13061:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
13061:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
13061:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
13061:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
13061:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
13061:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
13061:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
13061:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
13061:  Id :  10, {_}:
          meet ?26 (join ?27 (meet ?28 ?29))
          =<=
          meet ?26 (join ?27 (meet ?26 (join (meet ?26 ?27) (meet ?28 ?29))))
          [29, 28, 27, 26] by equation_H65 ?26 ?27 ?28 ?29
13061: Goal:
13061:  Id :   1, {_}:
          meet a (join b c)
          =<=
          join (meet a (join c (meet a b))) (meet a (join b (meet a c)))
          [] by prove_H69
% SZS status Timeout for LAT117-1.p
13167: Facts:
13167:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
13167:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
13167:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
13167:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
13167:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
13167:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
13167:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
13167:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
13167:  Id :  10, {_}:
          meet ?26 (join ?27 (meet ?28 (join ?26 ?29)))
          =<=
          meet ?26 (join (meet ?26 (join ?27 (meet ?26 ?28))) (meet ?28 ?29))
          [29, 28, 27, 26] by equation_H79 ?26 ?27 ?28 ?29
13167: Goal:
13167:  Id :   1, {_}:
          meet a (join b c)
          =<=
          join (meet a (join c (meet a b))) (meet a (join b (meet a c)))
          [] by prove_H69
% SZS status Timeout for LAT118-1.p
13199: Facts:
13199:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
13199:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
13199:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
13199:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
13199:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
13199:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
13199:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
13199:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
13199:  Id :  10, {_}:
          meet ?26 (join (meet ?27 (join ?26 ?28)) (meet ?28 (join ?26 ?27)))
          =>=
          join (meet ?26 ?27) (meet ?26 ?28)
          [28, 27, 26] by equation_H82 ?26 ?27 ?28
13199: Goal:
13199:  Id :   1, {_}:
          meet a (join b (meet a c))
          =<=
          meet a (join b (meet c (join b (meet a (join c (meet a b))))))
          [] by prove_H3
% SZS status Timeout for LAT119-1.p
13233: Facts:
13233:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
13233:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
13233:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
13233:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
13233:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
13233:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
13233:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
13233:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
13233:  Id :  10, {_}:
          join ?26 (meet ?27 (join ?26 ?28))
          =<=
          join ?26 (meet ?27 (join ?28 (meet ?26 (join ?27 ?28))))
          [28, 27, 26] by equation_H10_dual ?26 ?27 ?28
13233: Goal:
13233:  Id :   1, {_}:
          meet a (join b c)
          =<=
          meet a (join b (meet (join a b) (join c (meet a b))))
          [] by prove_H58
% SZS status Timeout for LAT120-1.p
13277: Facts:
13277:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
13277:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
13277:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
13277:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
13277:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
13277:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
13277:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
13277:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
13277:  Id :  10, {_}:
          meet (join ?26 ?27) (join ?26 ?28)
          =<=
          join ?26
            (meet (join ?26 ?27)
              (meet (join ?26 ?28) (join ?27 (meet ?26 ?28))))
          [28, 27, 26] by equation_H18_dual ?26 ?27 ?28
13277: Goal:
13277:  Id :   1, {_}:
          join a (meet b (join a c))
          =<=
          join a (meet b (join c (meet a (join c b))))
          [] by prove_H55
% SZS status Timeout for LAT121-1.p
13310: Facts:
13310:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
13310:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
13310:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
13310:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
13310:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
13310:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
13310:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
13310:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
13310:  Id :  10, {_}:
          meet (join ?26 ?27) (join ?26 ?28)
          =<=
          join ?26
            (meet (join ?27 (meet ?26 (join ?27 ?28)))
              (join ?28 (meet ?26 ?27)))
          [28, 27, 26] by equation_H21_dual ?26 ?27 ?28
13310: Goal:
13310:  Id :   1, {_}:
          join a (meet b (join a c))
          =<=
          join a (meet b (join c (meet a (join c b))))
          [] by prove_H55
% SZS status Timeout for LAT122-1.p
13351: Facts:
13351:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
13351:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
13351:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
13351:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
13351:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
13351:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
13351:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
13351:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
13351:  Id :  10, {_}:
          meet (join ?26 ?27) (join ?26 ?28)
          =<=
          join ?26
            (meet (join ?27 (meet ?28 (join ?26 ?27)))
              (join ?28 (meet ?26 ?27)))
          [28, 27, 26] by equation_H22_dual ?26 ?27 ?28
13351: Goal:
13351:  Id :   1, {_}:
          join a (meet b (join a c))
          =<=
          join a (meet b (join c (meet a (join c b))))
          [] by prove_H55
% SZS status Timeout for LAT123-1.p
13388: Facts:
13388:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
13388:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
13388:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
13388:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
13388:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
13388:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
13388:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
13388:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
13388:  Id :  10, {_}:
          join ?26 (meet ?27 (join ?26 (join ?28 ?29)))
          =<=
          join ?26 (meet ?27 (join ?28 (meet (join ?26 ?29) (join ?27 ?29))))
          [29, 28, 27, 26] by equation_H32_dual ?26 ?27 ?28 ?29
13388: Goal:
13388:  Id :   1, {_}:
          meet a (join b c)
          =<=
          join (meet a (join c (meet a b))) (meet a (join b (meet a c)))
          [] by prove_H69
% SZS status Timeout for LAT124-1.p
13453: Facts:
13453:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
13453:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
13453:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
13453:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
13453:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
13453:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
13453:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
13453:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
13453:  Id :  10, {_}:
          join ?26 (meet ?27 (join ?28 ?29))
          =<=
          join ?26 (meet ?27 (join ?28 (meet ?27 (join ?29 (meet ?27 ?28)))))
          [29, 28, 27, 26] by equation_H34_dual ?26 ?27 ?28 ?29
13453: Goal:
13453:  Id :   1, {_}:
          meet a (join b c)
          =<=
          join (meet a (join c (meet a b))) (meet a (join b (meet a c)))
          [] by prove_H69
% SZS status Timeout for LAT125-1.p
13486: Facts:
13486:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
13486:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
13486:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
13486:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
13486:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
13486:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
13486:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
13486:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
13486:  Id :  10, {_}:
          join ?26 (meet ?27 (join ?28 (meet ?26 ?29)))
          =<=
          join ?26 (meet ?27 (join ?28 (meet ?29 (join ?26 ?28))))
          [29, 28, 27, 26] by equation_H39_dual ?26 ?27 ?28 ?29
13486: Goal:
13486:  Id :   1, {_}:
          meet a (join b c)
          =<=
          join (meet a (join c (meet a b))) (meet a (join b (meet a c)))
          [] by prove_H69
% SZS status Timeout for LAT126-1.p
13527: Facts:
13527:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
13527:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
13527:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
13527:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
13527:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
13527:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
13527:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
13527:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
13527:  Id :  10, {_}:
          meet ?26 (join ?27 (meet ?26 ?28))
          =<=
          meet ?26 (join ?27 (meet ?28 (join ?26 (meet ?28 ?27))))
          [28, 27, 26] by equation_H55_dual ?26 ?27 ?28
13527: Goal:
13527:  Id :   1, {_}:
          meet a (join b (meet a c))
          =<=
          meet a (join (meet a (join b (meet a c))) (meet c (join a b)))
          [] by prove_H6
% SZS status Timeout for LAT127-1.p
13561: Facts:
13561:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
13561:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
13561:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
13561:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
13561:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
13561:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
13561:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
13561:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
13561:  Id :  10, {_}:
          join ?26 (meet ?27 ?28)
          =<=
          join ?26 (meet ?27 (join (meet ?26 ?27) (meet ?28 (join ?26 ?27))))
          [28, 27, 26] by equation_H58_dual ?26 ?27 ?28
13561: Goal:
13561:  Id :   1, {_}:
          meet a (join b (meet a c))
          =<=
          meet a (join b (meet c (join b (meet a (join c (meet a b))))))
          [] by prove_H3
% SZS status Timeout for LAT128-1.p
13839: Facts:
13839:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
13839:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
13839:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
13839:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
13839:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
13839:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
13839:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
13839:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
13839:  Id :  10, {_}:
          join ?26 (meet ?27 ?28)
          =<=
          join ?26 (meet ?27 (join (meet ?26 ?27) (meet ?28 (join ?26 ?27))))
          [28, 27, 26] by equation_H58_dual ?26 ?27 ?28
13839: Goal:
13839:  Id :   1, {_}:
          meet a (join b (meet a c))
          =<=
          meet a (join b (meet c (join a (meet b c))))
          [] by prove_H10
% SZS status Timeout for LAT129-1.p
14653: Facts:
14653:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
14653:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
14653:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
14653:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
14653:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
14653:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
14653:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
14653:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
14653:  Id :  10, {_}:
          join ?26 (meet ?27 ?28)
          =<=
          join ?26 (meet ?27 (join ?26 (meet ?28 (join ?26 ?27))))
          [28, 27, 26] by equation_H68_dual ?26 ?27 ?28
14653: Goal:
14653:  Id :   1, {_}:
          meet a (join b (meet c (join a d)))
          =<=
          meet a (join b (meet c (join d (meet a c))))
          [] by prove_H39
% SZS status Timeout for LAT130-1.p
14677: Facts:
14677:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
14677:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
14677:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
14677:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
14677:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
14677:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
14677:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
14677:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
14677:  Id :  10, {_}:
          join ?26 (meet ?27 ?28)
          =<=
          join ?26 (meet ?27 (join ?26 (meet ?28 (join ?26 ?27))))
          [28, 27, 26] by equation_H68_dual ?26 ?27 ?28
14677: Goal:
14677:  Id :   1, {_}:
          meet a (join b (meet c (join a d)))
          =<=
          meet a (join b (meet c (join b (join d (meet a c)))))
          [] by prove_H42
% SZS status Timeout for LAT131-1.p
14702: Facts:
14702:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
14702:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
14702:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
14702:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
14702:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
14702:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
14702:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
14702:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
14702:  Id :  10, {_}:
          join ?26 (meet ?27 ?28)
          =<=
          meet (join ?26 (meet ?28 (join ?26 ?27)))
            (join ?26 (meet ?27 (join ?26 ?28)))
          [28, 27, 26] by equation_H69_dual ?26 ?27 ?28
14702: Goal:
14702:  Id :   1, {_}:
          meet a (join b (meet c (join a d)))
          =<=
          meet a (join b (meet c (join b (join d (meet a c)))))
          [] by prove_H42
% SZS status Timeout for LAT132-1.p
14726: Facts:
14726:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
14726:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
14726:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
14726:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
14726:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
14726:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
14726:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
14726:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
14726:  Id :  10, {_}:
          join ?26 (meet ?27 (join ?26 ?28))
          =<=
          join ?26 (meet ?27 (join ?28 (meet ?26 (join ?28 ?27))))
          [28, 27, 26] by equation_H55 ?26 ?27 ?28
14726: Goal:
14726:  Id :   1, {_}:
          join a (meet b (join a c))
          =<=
          join a (meet (join a (meet b (join a c))) (join c (meet a b)))
          [] by prove_H6_dual
% SZS status Timeout for LAT133-1.p
14755: Facts:
14755:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
14755:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
14755:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
14755:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
14755:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
14755:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
14755:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
14755:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
14755:  Id :  10, {_}:
          meet (join ?26 ?27) (join ?26 ?28)
          =<=
          join ?26 (meet (join ?26 ?27) (join (meet ?26 ?27) ?28))
          [28, 27, 26] by equation_H61 ?26 ?27 ?28
14755: Goal:
14755:  Id :   1, {_}:
          meet (join a b) (join a c)
          =<=
          join a (meet (join b (meet c (join a b))) (join c (meet a b)))
          [] by prove_H22_dual
% SZS status Timeout for LAT134-1.p
14780: Facts:
14780:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
14780:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
14780:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
14780:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
14780:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
14780:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
14780:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
14780:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
14780:  Id :  10, {_}:
          meet ?26 (join ?27 ?28)
          =<=
          meet ?26 (join ?27 (meet ?26 (join ?28 (meet ?26 ?27))))
          [28, 27, 26] by equation_H68 ?26 ?27 ?28
14780: Goal:
14780:  Id :   1, {_}:
          join a (meet b (join c (meet a d)))
          =<=
          join a (meet b (join c (meet d (join a c))))
          [] by prove_H39_dual
% SZS status Timeout for LAT135-1.p
14805: Facts:
14805:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
14805:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
14805:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
14805:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
14805:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
14805:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
14805:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
14805:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
14805:  Id :  10, {_}:
          meet ?26 (join ?27 ?28)
          =<=
          join (meet ?26 (join ?28 (meet ?26 ?27)))
            (meet ?26 (join ?27 (meet ?26 ?28)))
          [28, 27, 26] by equation_H69 ?26 ?27 ?28
14805: Goal:
14805:  Id :   1, {_}:
          join a (meet b (join c (meet a d)))
          =<=
          join a (meet b (join c (meet d (join a c))))
          [] by prove_H39_dual
% SZS status Timeout for LAT136-1.p
14829: Facts:
14829:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
14829:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
14829:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
14829:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
14829:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
14829:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
14829:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
14829:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
14829:  Id :  10, {_}:
          meet ?26 (join ?27 ?28)
          =<=
          join (meet ?26 (join ?28 (meet ?26 ?27)))
            (meet ?26 (join ?27 (meet ?26 ?28)))
          [28, 27, 26] by equation_H69 ?26 ?27 ?28
14829: Goal:
14829:  Id :   1, {_}:
          join a (meet b (join c (meet a d)))
          =<=
          join a (meet b (join c (meet d (join c (meet a b)))))
          [] by prove_H40_dual
% SZS status Timeout for LAT137-1.p
14856: Facts:
14856:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
14856:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
14856:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
14856:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
14856:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
14856:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
14856:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
14856:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
14856:  Id :  10, {_}:
          meet ?26 (join ?27 (meet ?26 ?28))
          =<=
          meet ?26
            (join ?27
              (meet ?26 (join (meet ?26 ?27) (meet ?28 (join ?26 ?27)))))
          [28, 27, 26] by equation_H7 ?26 ?27 ?28
14856: Goal:
14856:  Id :   1, {_}:
          meet a (join b (meet a c))
          =<=
          meet a (join (meet a (join b (meet a c))) (meet c (join a b)))
          [] by prove_H6
% SZS status Timeout for LAT138-1.p
14880: Facts:
14880:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
14880:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
14880:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
14880:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
14880:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
14880:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
14880:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
14880:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
14880:  Id :  10, {_}:
          meet ?26 (join ?27 (meet ?26 ?28))
          =<=
          meet ?26
            (join ?27
              (meet ?28 (join ?26 (meet ?27 (join ?28 (meet ?26 ?27))))))
          [28, 27, 26] by equation_H11 ?26 ?27 ?28
14880: Goal:
14880:  Id :   1, {_}:
          meet a (join b (meet a c))
          =<=
          meet a (join b (meet c (join a (meet b c))))
          [] by prove_H10
% SZS status Timeout for LAT139-1.p
14934: Facts:
14934:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
14934:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
14934:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
14934:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
14934:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
14934:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
14934:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
14934:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
14934:  Id :  10, {_}:
          join (meet ?26 ?27) (meet ?26 ?28)
          =<=
          meet ?26
            (join (meet ?27 (join ?26 (meet ?27 ?28)))
              (meet ?28 (join ?26 ?27)))
          [28, 27, 26] by equation_H21 ?26 ?27 ?28
14934: Goal:
14934:  Id :   1, {_}:
          meet a (join b (meet a c))
          =<=
          meet a (join b (meet c (join (meet a (join b c)) (meet b c))))
          [] by prove_H2
% SZS status Timeout for LAT140-1.p
14961: Facts:
14961:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
14961:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
14961:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
14961:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
14961:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
14961:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
14961:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
14961:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
14961:  Id :  10, {_}:
          join (meet ?26 ?27) (meet ?26 ?28)
          =<=
          meet ?26
            (join (meet ?27 (join ?26 (meet ?27 ?28)))
              (meet ?28 (join ?26 ?27)))
          [28, 27, 26] by equation_H21 ?26 ?27 ?28
14961: Goal:
14961:  Id :   1, {_}:
          meet a (join b (meet a c))
          =<=
          meet a (join (meet a (join b (meet a c))) (meet c (join a b)))
          [] by prove_H6
% SZS status Timeout for LAT141-1.p
14986: Facts:
14986:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
14986:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
14986:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
14986:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
14986:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
14986:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
14986:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
14986:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
14986:  Id :  10, {_}:
          join (meet ?26 ?27) (meet ?26 ?28)
          =<=
          meet ?26
            (join (meet ?27 (join ?28 (meet ?26 ?27)))
              (meet ?28 (join ?26 ?27)))
          [28, 27, 26] by equation_H22 ?26 ?27 ?28
14986: Goal:
14986:  Id :   1, {_}:
          meet a (join b (meet a c))
          =<=
          meet a (join (meet a (join b (meet a c))) (meet c (join a b)))
          [] by prove_H6
% SZS status Timeout for LAT142-1.p
15010: Facts:
15010:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
15010:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
15010:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
15010:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
15010:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
15010:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
15010:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
15010:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
15010:  Id :  10, {_}:
          meet ?26 (join ?27 (meet ?26 (meet ?28 ?29)))
          =<=
          meet ?26 (join ?27 (meet ?28 (join (meet ?26 ?29) (meet ?27 ?29))))
          [29, 28, 27, 26] by equation_H32 ?26 ?27 ?28 ?29
15010: Goal:
15010:  Id :   1, {_}:
          meet a (join b (meet a c))
          =<=
          meet a (join b (meet c (join (meet a (join b c)) (meet b c))))
          [] by prove_H2
% SZS status Timeout for LAT144-1.p
15039: Facts:
15039:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
15039:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
15039:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
15039:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
15039:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
15039:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
15039:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
15039:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
15039:  Id :  10, {_}:
          meet ?26 (join ?27 (meet ?26 (meet ?28 ?29)))
          =<=
          meet ?26 (join ?27 (meet ?28 (join (meet ?26 ?29) (meet ?27 ?29))))
          [29, 28, 27, 26] by equation_H32 ?26 ?27 ?28 ?29
15039: Goal:
15039:  Id :   1, {_}:
          meet a (join b (meet a c))
          =<=
          meet a (join (meet a (join b (meet a c))) (meet c (join a b)))
          [] by prove_H6
% SZS status Timeout for LAT145-1.p
15083: Facts:
15083:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
15083:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
15083:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
15083:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
15083:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
15083:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
15083:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
15083:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
15083:  Id :  10, {_}:
          meet ?26 (join ?27 (meet ?28 ?29))
          =<=
          meet ?26 (join ?27 (meet ?28 (join ?27 (meet ?29 (join ?27 ?28)))))
          [29, 28, 27, 26] by equation_H34 ?26 ?27 ?28 ?29
15083: Goal:
15083:  Id :   1, {_}:
          meet a (join b (meet a (meet c d)))
          =<=
          meet a (join b (meet c (meet d (join a (meet b d)))))
          [] by prove_H28
% SZS status Timeout for LAT146-1.p
15123: Facts:
15123:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
15123:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
15123:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
15123:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
15123:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
15123:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
15123:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
15123:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
15123:  Id :  10, {_}:
          meet ?26 (join ?27 (meet ?28 ?29))
          =<=
          meet ?26 (join ?27 (meet ?28 (join ?27 (meet ?29 (join ?27 ?28)))))
          [29, 28, 27, 26] by equation_H34 ?26 ?27 ?28 ?29
15123: Goal:
15123:  Id :   1, {_}:
          meet a (meet b (join c (meet a d)))
          =<=
          meet a (meet b (join c (meet d (join a (meet b c)))))
          [] by prove_H45
% SZS status Timeout for LAT147-1.p
15148: Facts:
15148:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
15148:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
15148:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
15148:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
15148:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
15148:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
15148:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
15148:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
15148:  Id :  10, {_}:
          meet ?26 (join ?27 (meet ?28 ?29))
          =<=
          meet ?26 (join ?27 (meet ?28 (join ?27 (meet ?29 (join ?27 ?28)))))
          [29, 28, 27, 26] by equation_H34 ?26 ?27 ?28 ?29
15148: Goal:
15148:  Id :   1, {_}:
          meet a (join b (meet a c))
          =<=
          meet a (join b (meet a (join (meet a b) (meet c (join a b)))))
          [] by prove_H7
% SZS status Timeout for LAT148-1.p
15185: Facts:
15185:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
15185:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
15185:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
15185:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
15185:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
15185:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
15185:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
15185:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
15185:  Id :  10, {_}:
          meet ?26 (join ?27 (join ?28 (meet ?26 ?29)))
          =<=
          meet ?26 (join ?27 (join ?28 (meet ?29 (join ?26 (meet ?27 ?28)))))
          [29, 28, 27, 26] by equation_H37 ?26 ?27 ?28 ?29
15185: Goal:
15185:  Id :   1, {_}:
          meet a (join b (meet c (join b d)))
          =<=
          meet a (join b (meet c (join d (meet a (join b d)))))
          [] by prove_H43
% SZS status Timeout for LAT149-1.p
15218: Facts:
15218:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
15218:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
15218:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
15218:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
15218:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
15218:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
15218:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
15218:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
15218:  Id :  10, {_}:
          meet ?26 (join ?27 (meet ?28 (join ?26 ?29)))
          =<=
          meet ?26 (join ?27 (meet ?28 (join ?29 (meet ?26 ?28))))
          [29, 28, 27, 26] by equation_H39 ?26 ?27 ?28 ?29
15218: Goal:
15218:  Id :   1, {_}:
          meet a (join b (meet c (join a d)))
          =<=
          meet a (join b (meet c (join d (meet c (join a b)))))
          [] by prove_H40
% SZS status Timeout for LAT150-1.p
15244: Facts:
15244:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
15244:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
15244:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
15244:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
15244:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
15244:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
15244:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
15244:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
15244:  Id :  10, {_}:
          meet ?26 (join ?27 (meet ?28 (join ?26 ?29)))
          =<=
          meet ?26 (join ?27 (meet ?28 (join ?29 (meet ?26 ?28))))
          [29, 28, 27, 26] by equation_H39 ?26 ?27 ?28 ?29
15244: Goal:
15244:  Id :   1, {_}:
          meet a (join b (meet c (join a d)))
          =<=
          meet a (join b (meet c (join b (join d (meet a c)))))
          [] by prove_H42
% SZS status Timeout for LAT151-1.p
15327: Facts:
15327:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
15327:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
15327:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
15327:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
15327:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
15327:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
15327:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
15327:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
15327:  Id :  10, {_}:
          meet ?26 (join ?27 (meet ?28 (join ?26 ?29)))
          =<=
          meet ?26 (join ?27 (meet ?28 (join ?29 (meet ?28 (join ?26 ?27)))))
          [29, 28, 27, 26] by equation_H40 ?26 ?27 ?28 ?29
15327: Goal:
15327:  Id :   1, {_}:
          meet a (join b (meet a c))
          =<=
          meet a (join (meet a (join b (meet a c))) (meet c (join a b)))
          [] by prove_H6
% SZS status Timeout for LAT152-1.p
15364: Facts:
15364:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
15364:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
15364:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
15364:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
15364:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
15364:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
15364:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
15364:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
15364:  Id :  10, {_}:
          meet ?26 (join ?27 (meet ?28 (join ?26 ?29)))
          =<=
          meet ?26 (join ?27 (meet ?28 (join ?29 (meet ?28 (join ?26 ?27)))))
          [29, 28, 27, 26] by equation_H40 ?26 ?27 ?28 ?29
15364: Goal:
15364:  Id :   1, {_}:
          meet a (join b (meet a c))
          =<=
          meet a (join b (meet a (join (meet a b) (meet c (join a b)))))
          [] by prove_H7
% SZS status Timeout for LAT153-1.p
15388: Facts:
15388:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
15388:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
15388:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
15388:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
15388:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
15388:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
15388:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
15388:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
15388:  Id :  10, {_}:
          meet ?26 (join ?27 (meet ?28 (join ?26 ?29)))
          =<=
          meet ?26 (join ?27 (meet ?28 (join ?27 (join ?29 (meet ?26 ?28)))))
          [29, 28, 27, 26] by equation_H42 ?26 ?27 ?28 ?29
15388: Goal:
15388:  Id :   1, {_}:
          meet a (join b (meet a c))
          =<=
          meet a (join (meet a (join b (meet a c))) (meet c (join a b)))
          [] by prove_H6
% SZS status Timeout for LAT154-1.p
15417: Facts:
15417:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
15417:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
15417:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
15417:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
15417:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
15417:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
15417:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
15417:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
15417:  Id :  10, {_}:
          meet ?26 (join ?27 (meet ?28 (join ?26 ?29)))
          =<=
          meet ?26 (join ?27 (join (meet ?26 ?28) (meet ?28 (join ?27 ?29))))
          [29, 28, 27, 26] by equation_H49 ?26 ?27 ?28 ?29
15417: Goal:
15417:  Id :   1, {_}:
          meet a (join b (meet a c))
          =<=
          meet a (join b (meet c (join (meet a (join b c)) (meet b c))))
          [] by prove_H2
% SZS status Timeout for LAT155-1.p
15441: Facts:
15441:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
15441:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
15441:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
15441:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
15441:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
15441:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
15441:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
15441:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
15441:  Id :  10, {_}:
          meet ?26 (join ?27 (meet ?28 (join ?26 ?29)))
          =<=
          meet ?26 (join ?27 (join (meet ?26 ?28) (meet ?28 (join ?27 ?29))))
          [29, 28, 27, 26] by equation_H49 ?26 ?27 ?28 ?29
15441: Goal:
15441:  Id :   1, {_}:
          meet a (join b (meet a c))
          =<=
          meet a (join (meet a (join b (meet a c))) (meet c (join a b)))
          [] by prove_H6
% SZS status Timeout for LAT156-1.p
15466: Facts:
15466:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
15466:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
15466:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
15466:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
15466:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
15466:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
15466:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
15466:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
15466:  Id :  10, {_}:
          meet ?26 (join ?27 (meet ?28 (join ?26 ?29)))
          =<=
          meet ?26 (join ?27 (meet ?28 (join ?26 (meet ?28 (join ?27 ?29)))))
          [29, 28, 27, 26] by equation_H50 ?26 ?27 ?28 ?29
15466: Goal:
15466:  Id :   1, {_}:
          meet a (join b (meet a c))
          =<=
          meet a (join b (meet c (join (meet a (join b c)) (meet b c))))
          [] by prove_H2
% SZS status Timeout for LAT157-1.p
15493: Facts:
15493:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
15493:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
15493:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
15493:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
15493:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
15493:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
15493:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
15493:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
15493:  Id :  10, {_}:
          meet ?26 (join ?27 (meet ?28 (join ?26 ?29)))
          =<=
          meet ?26 (join ?27 (meet ?28 (join ?26 (meet ?28 (join ?27 ?29)))))
          [29, 28, 27, 26] by equation_H50 ?26 ?27 ?28 ?29
15493: Goal:
15493:  Id :   1, {_}:
          meet a (join b (meet c (join a d)))
          =<=
          meet a (join b (join (meet a c) (meet c (join b d))))
          [] by prove_H49
% SZS status Timeout for LAT158-1.p
15519: Facts:
15519:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
15519:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
15519:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
15519:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
15519:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
15519:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
15519:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
15519:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
15519:  Id :  10, {_}:
          meet ?26 (join ?27 (meet ?28 (join ?26 ?29)))
          =<=
          meet ?26 (join ?27 (meet ?28 (join ?26 (meet ?28 (join ?27 ?29)))))
          [29, 28, 27, 26] by equation_H50 ?26 ?27 ?28 ?29
15519: Goal:
15519:  Id :   1, {_}:
          meet a (join b (meet a c))
          =<=
          meet a (join b (meet a (join (meet a b) (meet c (join a b)))))
          [] by prove_H7
% SZS status Timeout for LAT159-1.p
15543: Facts:
15543:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
15543:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
15543:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
15543:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
15543:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
15543:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
15543:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
15543:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
15543:  Id :  10, {_}:
          meet ?26 (join ?27 (meet ?28 (join ?26 ?29)))
          =<=
          meet ?26 (join ?27 (join (meet ?28 ?29) (meet ?28 (join ?26 ?27))))
          [29, 28, 27, 26] by equation_H52 ?26 ?27 ?28 ?29
15543: Goal:
15543:  Id :   1, {_}:
          meet a (join b (meet c (join a d)))
          =<=
          meet a (join b (join (meet a c) (meet c d)))
          [] by prove_H51
% SZS status Timeout for LAT160-1.p
15578: Facts:
15578:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
15578:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
15578:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
15578:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
15578:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
15578:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
15578:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
15578:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
15578:  Id :  10, {_}:
          meet ?26 (join ?27 ?28)
          =<=
          meet ?26 (join ?27 (meet (join ?26 ?27) (join ?28 (meet ?26 ?27))))
          [28, 27, 26] by equation_H58 ?26 ?27 ?28
15578: Goal:
15578:  Id :   1, {_}:
          meet a (meet (join b c) (join b d))
          =<=
          meet a (join b (meet (join b d) (join c (meet a b))))
          [] by prove_H59
% SZS status Timeout for LAT161-1.p
15602: Facts:
15602:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
15602:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
15602:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
15602:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
15602:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
15602:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
15602:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
15602:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
15602:  Id :  10, {_}:
          meet ?26 (join ?27 ?28)
          =<=
          meet ?26 (join ?27 (meet ?26 (join ?28 (meet ?26 ?27))))
          [28, 27, 26] by equation_H68 ?26 ?27 ?28
15602: Goal:
15602:  Id :   1, {_}:
          meet a (meet b (join c d))
          =<=
          meet a (meet b (join c (meet a (join d (meet b c)))))
          [] by prove_H73
% SZS status Timeout for LAT162-1.p
15627: Facts:
15627:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
15627:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
15627:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
15627:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
15627:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
15627:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
15627:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
15627:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
15627:  Id :  10, {_}:
          meet ?26 (join ?27 (meet ?28 (join ?27 ?29)))
          =<=
          meet ?26 (join ?27 (meet ?28 (join ?29 (meet ?26 ?27))))
          [29, 28, 27, 26] by equation_H76 ?26 ?27 ?28 ?29
15627: Goal:
15627:  Id :   1, {_}:
          meet a (join b (meet a (meet c d)))
          =<=
          meet a (join b (meet c (join (meet a d) (meet b d))))
          [] by prove_H32
% SZS status Timeout for LAT163-1.p
15721: Facts:
15721:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
15721:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
15721:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
15721:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
15721:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
15721:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
15721:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
15721:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
15721:  Id :  10, {_}:
          meet ?26 (join ?27 (meet ?28 (join ?27 ?29)))
          =<=
          meet ?26 (join ?27 (meet ?28 (join ?29 (meet ?26 ?27))))
          [29, 28, 27, 26] by equation_H76 ?26 ?27 ?28 ?29
15721: Goal:
15721:  Id :   1, {_}:
          meet a (join b (meet a c))
          =<=
          meet a (join (meet a (join b (meet a c))) (meet c (join a b)))
          [] by prove_H6
% SZS status Timeout for LAT164-1.p
15750: Facts:
15750:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
15750:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
15750:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
15750:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
15750:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
15750:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
15750:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
15750:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
15750:  Id :  10, {_}:
          meet ?26 (join ?27 (meet ?28 (join ?27 ?29)))
          =<=
          meet ?26 (join ?27 (meet ?28 (join ?29 (meet ?26 ?27))))
          [29, 28, 27, 26] by equation_H76 ?26 ?27 ?28 ?29
15750: Goal:
15750:  Id :   1, {_}:
          meet a (join b (meet c (join b d)))
          =<=
          meet a (join b (meet c (join d (meet a (meet b c)))))
          [] by prove_H77
% SZS status Timeout for LAT165-1.p
15797: Facts:
15797:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
15797:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
15797:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
15797:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
15797:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
15797:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
15797:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
15797:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
15797:  Id :  10, {_}:
          meet ?26 (join ?27 (meet ?28 (join ?27 ?29)))
          =<=
          meet ?26 (join ?27 (meet ?28 (join ?29 (meet ?26 (meet ?27 ?28)))))
          [29, 28, 27, 26] by equation_H77 ?26 ?27 ?28 ?29
15797: Goal:
15797:  Id :   1, {_}:
          meet a (join b (meet c (join b d)))
          =<=
          meet a (join b (meet c (join d (meet b (join a d)))))
          [] by prove_H78
% SZS status Timeout for LAT166-1.p
15822: Facts:
15822:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
15822:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
15822:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
15822:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
15822:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
15822:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
15822:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
15822:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
15822:  Id :  10, {_}:
          meet ?26 (join ?27 (meet ?28 (join ?27 ?29)))
          =<=
          meet ?26 (join ?27 (meet ?28 (join ?29 (meet ?27 (join ?26 ?29)))))
          [29, 28, 27, 26] by equation_H78 ?26 ?27 ?28 ?29
15822: Goal:
15822:  Id :   1, {_}:
          meet a (join b (meet c (join b d)))
          =<=
          meet a (join b (meet c (join d (meet a (meet b c)))))
          [] by prove_H77
% SZS status Timeout for LAT167-1.p
15846: Facts:
15846:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
15846:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
15846:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
15846:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
15846:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
15846:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
15846:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
15846:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
15846:  Id :  10, {_}:
          meet (join ?26 ?27) (join ?26 ?28)
          =<=
          join ?26
            (meet (join ?26 ?27)
              (meet (join ?26 ?28) (join ?27 (meet ?26 ?28))))
          [28, 27, 26] by equation_H18_dual ?26 ?27 ?28
15846: Goal:
15846:  Id :   1, {_}:
          meet a (join b c)
          =<=
          meet a (join b (meet (join a b) (join c (meet a b))))
          [] by prove_H58
% SZS status Timeout for LAT168-1.p
15879: Facts:
15879:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
15879:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
15879:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
15879:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
15879:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
15879:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
15879:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
15879:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
15879:  Id :  10, {_}:
          meet (join ?26 ?27) (join ?26 ?28)
          =<=
          join ?26
            (meet (join ?27 (meet ?26 (join ?27 ?28)))
              (join ?28 (meet ?26 ?27)))
          [28, 27, 26] by equation_H21_dual ?26 ?27 ?28
15879: Goal:
15879:  Id :   1, {_}:
          meet a (join b c)
          =<=
          meet a (join b (meet (join a b) (join c (meet a b))))
          [] by prove_H58
% SZS status Timeout for LAT169-1.p
15905: Facts:
15905:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
15905:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
15905:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
15905:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
15905:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
15905:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
15905:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
15905:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
15905:  Id :  10, {_}:
          join ?26 (meet ?27 (join ?28 (meet ?26 ?29)))
          =<=
          join ?26 (meet ?27 (meet (join ?26 ?28) (join ?28 (meet ?27 ?29))))
          [29, 28, 27, 26] by equation_H49_dual ?26 ?27 ?28 ?29
15905: Goal:
15905:  Id :   1, {_}:
          meet a (join b c)
          =<=
          meet a (join b (meet (join a b) (join c (meet a b))))
          [] by prove_H58
% SZS status Timeout for LAT170-1.p
15935: Facts:
15935:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
15935:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
15935:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
15935:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
15935:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
15935:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
15935:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
15935:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
15935:  Id :  10, {_}:
          join (meet ?26 ?27) (meet ?26 ?28)
          =<=
          meet ?26 (join (meet ?26 ?27) (meet (join ?26 ?27) ?28))
          [28, 27, 26] by equation_H61_dual ?26 ?27 ?28
15935: Goal:
15935:  Id :   1, {_}:
          meet a (join b (meet a c))
          =<=
          meet a (join (meet a (join b (meet a c))) (meet c (join a b)))
          [] by prove_H6
% SZS status Timeout for LAT171-1.p
15959: Facts:
15959:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
15959:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
15959:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
15959:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
15959:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
15959:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
15959:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
15959:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
15959:  Id :  10, {_}:
          join ?26 (meet ?27 (join ?28 (meet ?27 ?29)))
          =<=
          join ?26 (meet ?27 (join ?28 (meet ?29 (join ?26 ?27))))
          [29, 28, 27, 26] by equation_H76_dual ?26 ?27 ?28 ?29
15959: Goal:
15959:  Id :   1, {_}:
          meet a (join b (meet a (meet c d)))
          =<=
          meet a (join b (meet c (join (meet a d) (meet b d))))
          [] by prove_H32
% SZS status Timeout for LAT172-1.p
15984: Facts:
15984:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
15984:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
15984:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
15984:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
15984:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
15984:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
15984:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
15984:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
15984:  Id :  10, {_}:
          join ?26 (meet ?27 (join ?28 (meet ?27 ?29)))
          =<=
          join ?26 (meet ?27 (join ?28 (meet ?29 (join ?26 ?27))))
          [29, 28, 27, 26] by equation_H76_dual ?26 ?27 ?28 ?29
15984: Goal:
15984:  Id :   1, {_}:
          meet a (join b (meet c (join a d)))
          =<=
          meet a (join b (meet c (join d (meet c (join a b)))))
          [] by prove_H40
% SZS status Timeout for LAT173-1.p
16003: Facts:
16003:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
16003:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
16003:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
16003:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
16003:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
16003:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
16003:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
16003:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
16003:  Id :  10, {_}:
          join ?26 (meet ?27 (join ?28 (meet ?27 ?29)))
          =<=
          join ?26 (meet ?27 (join ?28 (meet ?29 (join ?26 ?27))))
          [29, 28, 27, 26] by equation_H76_dual ?26 ?27 ?28 ?29
16003: Goal:
16003:  Id :   1, {_}:
          meet a (join b (meet a c))
          =<=
          meet a (join (meet a (join b (meet a c))) (meet c (join a b)))
          [] by prove_H6
% SZS status Timeout for LAT174-1.p
16126: Facts:
16126:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
16126:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
16126:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
16126:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
16126:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
16126:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
16126:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
16126:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
16126:  Id :  10, {_}:
          join ?26 (meet ?27 (join ?28 (meet ?26 ?29)))
          =<=
          join ?26 (meet (join ?26 (meet ?27 (join ?26 ?28))) (join ?28 ?29))
          [29, 28, 27, 26] by equation_H79_dual ?26 ?27 ?28 ?29
16126: Goal:
16126:  Id :   1, {_}:
          meet a (join b (meet a (meet c d)))
          =<=
          meet a (join b (meet c (join (meet a d) (meet b d))))
          [] by prove_H32
% SZS status Timeout for LAT175-1.p
16145: Facts:
16145:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
16145:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
16145:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
16145:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
16145:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
16145:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
16145:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
16145:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
16145:  Id :  10, {_}:
          join ?26 (meet ?27 (join ?28 (meet ?26 ?29)))
          =<=
          join ?26 (meet (join ?26 (meet ?27 (join ?26 ?28))) (join ?28 ?29))
          [29, 28, 27, 26] by equation_H79_dual ?26 ?27 ?28 ?29
16145: Goal:
16145:  Id :   1, {_}:
          meet a (join b (meet c (join a d)))
          =<=
          meet a (join b (meet c (join b (join d (meet a c)))))
          [] by prove_H42
% SZS status Timeout for LAT176-1.p
16180: Facts:
16180:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
16180:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
16180:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
16180:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
16180:  Id :   6, {_}:
          meet ?12 ?13 =<->= meet ?13 ?12
          [13, 12] by commutativity_of_meet ?12 ?13
16180:  Id :   7, {_}:
          join ?15 ?16 =<->= join ?16 ?15
          [16, 15] by commutativity_of_join ?15 ?16
16180:  Id :   8, {_}:
          meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
          [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
16180:  Id :   9, {_}:
          join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
          [24, 23, 22] by associativity_of_join ?22 ?23 ?24
16180:  Id :  10, {_}:
          join ?26 (meet ?27 (join ?28 (meet ?26 ?29)))
          =<=
          join ?26 (meet (join ?26 (meet ?27 (join ?26 ?28))) (join ?28 ?29))
          [29, 28, 27, 26] by equation_H79_dual ?26 ?27 ?28 ?29
16180: Goal:
16180:  Id :   1, {_}:
          meet a (join b (meet a c))
          =<=
          meet a (join (meet a (join b (meet a c))) (meet c (join a b)))
          [] by prove_H6
% SZS status Timeout for LAT177-1.p
16203: Facts:
16203:  Id :   2, {_}: implies truth ?2 =>= ?2 [2] by wajsberg_1 ?2
16203:  Id :   3, {_}:
          implies (implies ?4 ?5) (implies (implies ?5 ?6) (implies ?4 ?6))
          =>=
          truth
          [6, 5, 4] by wajsberg_2 ?4 ?5 ?6
16203:  Id :   4, {_}:
          implies (implies ?8 ?9) ?9 =?= implies (implies ?9 ?8) ?8
          [9, 8] by wajsberg_3 ?8 ?9
16203:  Id :   5, {_}:
          implies (implies (not ?11) (not ?12)) (implies ?12 ?11) =>= truth
          [12, 11] by wajsberg_4 ?11 ?12
16203: Goal:
16203:  Id :   1, {_}:
          implies (implies (implies a b) (implies b a)) (implies b a) =>= truth
          [] by prove_wajsberg_mv_4
% SZS status Timeout for LCL109-2.p
16234: Facts:
16234:  Id :   2, {_}: implies truth ?2 =>= ?2 [2] by wajsberg_1 ?2
16234:  Id :   3, {_}:
          implies (implies ?4 ?5) (implies (implies ?5 ?6) (implies ?4 ?6))
          =>=
          truth
          [6, 5, 4] by wajsberg_2 ?4 ?5 ?6
16234:  Id :   4, {_}:
          implies (implies ?8 ?9) ?9 =?= implies (implies ?9 ?8) ?8
          [9, 8] by wajsberg_3 ?8 ?9
16234:  Id :   5, {_}:
          implies (implies (not ?11) (not ?12)) (implies ?12 ?11) =>= truth
          [12, 11] by wajsberg_4 ?11 ?12
16234:  Id :   6, {_}: implies x y =<= implies y z [] by lemma_antecedent
16234: Goal:
16234:  Id :   1, {_}: implies x z =>= truth [] by prove_wajsberg_lemma
% SZS status Timeout for LCL136-1.p
16253: Facts:
16253:  Id :   2, {_}: implies truth ?2 =>= ?2 [2] by wajsberg_1 ?2
16253:  Id :   3, {_}:
          implies (implies ?4 ?5) (implies (implies ?5 ?6) (implies ?4 ?6))
          =>=
          truth
          [6, 5, 4] by wajsberg_2 ?4 ?5 ?6
16253:  Id :   4, {_}:
          implies (implies ?8 ?9) ?9 =?= implies (implies ?9 ?8) ?8
          [9, 8] by wajsberg_3 ?8 ?9
16253:  Id :   5, {_}:
          implies (implies (not ?11) (not ?12)) (implies ?12 ?11) =>= truth
          [12, 11] by wajsberg_4 ?11 ?12
16253: Goal:
16253:  Id :   1, {_}:
          implies (implies (implies x y) y)
            (implies (implies y z) (implies x z))
          =>=
          truth
          [] by prove_wajsberg_lemma
% SZS status Timeout for LCL137-1.p
16293: Facts:
16293:  Id :   2, {_}: implies truth ?2 =>= ?2 [2] by wajsberg_1 ?2
16293:  Id :   3, {_}:
          implies (implies ?4 ?5) (implies (implies ?5 ?6) (implies ?4 ?6))
          =>=
          truth
          [6, 5, 4] by wajsberg_2 ?4 ?5 ?6
16293:  Id :   4, {_}:
          implies (implies ?8 ?9) ?9 =?= implies (implies ?9 ?8) ?8
          [9, 8] by wajsberg_3 ?8 ?9
16293:  Id :   5, {_}:
          implies (implies (not ?11) (not ?12)) (implies ?12 ?11) =>= truth
          [12, 11] by wajsberg_4 ?11 ?12
16293: Goal:
16293:  Id :   1, {_}:
          implies x (implies y z) =<= implies y (implies x z)
          [] by prove_wajsberg_lemma
% SZS status Timeout for LCL138-1.p
16312: Facts:
16312:  Id :   2, {_}: implies truth ?2 =>= ?2 [2] by wajsberg_1 ?2
16312:  Id :   3, {_}:
          implies (implies ?4 ?5) (implies (implies ?5 ?6) (implies ?4 ?6))
          =>=
          truth
          [6, 5, 4] by wajsberg_2 ?4 ?5 ?6
16312:  Id :   4, {_}:
          implies (implies ?8 ?9) ?9 =?= implies (implies ?9 ?8) ?8
          [9, 8] by wajsberg_3 ?8 ?9
16312:  Id :   5, {_}:
          implies (implies (not ?11) (not ?12)) (implies ?12 ?11) =>= truth
          [12, 11] by wajsberg_4 ?11 ?12
16312:  Id :   6, {_}:
          or ?14 ?15 =<= implies (not ?14) ?15
          [15, 14] by or_definition ?14 ?15
16312:  Id :   7, {_}:
          or (or ?17 ?18) ?19 =?= or ?17 (or ?18 ?19)
          [19, 18, 17] by or_associativity ?17 ?18 ?19
16312:  Id :   8, {_}: or ?21 ?22 =<->= or ?22 ?21 [22, 21] by or_commutativity ?21 ?22
16312:  Id :   9, {_}:
          and ?24 ?25 =<= not (or (not ?24) (not ?25))
          [25, 24] by and_definition ?24 ?25
16312:  Id :  10, {_}:
          and (and ?27 ?28) ?29 =?= and ?27 (and ?28 ?29)
          [29, 28, 27] by and_associativity ?27 ?28 ?29
16312:  Id :  11, {_}:
          and ?31 ?32 =<->= and ?32 ?31
          [32, 31] by and_commutativity ?31 ?32
16312:  Id :  12, {_}:
          xor ?34 ?35 =<= or (and ?34 (not ?35)) (and (not ?34) ?35)
          [35, 34] by xor_definition ?34 ?35
16312:  Id :  13, {_}:
          xor ?37 ?38 =<->= xor ?38 ?37
          [38, 37] by xor_commutativity ?37 ?38
16312:  Id :  14, {_}:
          and_star ?40 ?41 =<= not (or (not ?40) (not ?41))
          [41, 40] by and_star_definition ?40 ?41
16312:  Id :  15, {_}:
          and_star (and_star ?43 ?44) ?45 =?= and_star ?43 (and_star ?44 ?45)
          [45, 44, 43] by and_star_associativity ?43 ?44 ?45
16312:  Id :  16, {_}:
          and_star ?47 ?48 =<->= and_star ?48 ?47
          [48, 47] by and_star_commutativity ?47 ?48
16312:  Id :  17, {_}: not truth =>= falsehood [] by false_definition
16312: Goal:
16312:  Id :   1, {_}:
          xor x (xor truth y) =<= xor (xor x truth) y
          [] by prove_alternative_wajsberg_axiom
Statistics :
Max weight : 25
Found proof, 16.705149s
% SZS status Unsatisfiable for LCL159-1.p
% SZS output start CNFRefutation for LCL159-1.p
Id :  11, {_}: and ?31 ?32 =?= and ?32 ?31 [32, 31] by and_commutativity ?31 ?32
Id :   7, {_}: or (or ?17 ?18) ?19 =>= or ?17 (or ?18 ?19) [19, 18, 17] by or_associativity ?17 ?18 ?19
Id :  13, {_}: xor ?37 ?38 =?= xor ?38 ?37 [38, 37] by xor_commutativity ?37 ?38
Id :   4, {_}: implies (implies ?8 ?9) ?9 =?= implies (implies ?9 ?8) ?8 [9, 8] by wajsberg_3 ?8 ?9
Id :   3, {_}: implies (implies ?4 ?5) (implies (implies ?5 ?6) (implies ?4 ?6)) =>= truth [6, 5, 4] by wajsberg_2 ?4 ?5 ?6
Id :  12, {_}: xor ?34 ?35 =<= or (and ?34 (not ?35)) (and (not ?34) ?35) [35, 34] by xor_definition ?34 ?35
Id :  10, {_}: and (and ?27 ?28) ?29 =>= and ?27 (and ?28 ?29) [29, 28, 27] by and_associativity ?27 ?28 ?29
Id :  14, {_}: and_star ?40 ?41 =<= not (or (not ?40) (not ?41)) [41, 40] by and_star_definition ?40 ?41
Id :   9, {_}: and ?24 ?25 =<= not (or (not ?24) (not ?25)) [25, 24] by and_definition ?24 ?25
Id :  20, {_}: implies (implies ?55 ?56) (implies (implies ?56 ?57) (implies ?55 ?57)) =>= truth [57, 56, 55] by wajsberg_2 ?55 ?56 ?57
Id :   2, {_}: implies truth ?2 =>= ?2 [2] by wajsberg_1 ?2
Id :  17, {_}: not truth =>= falsehood [] by false_definition
Id :   5, {_}: implies (implies (not ?11) (not ?12)) (implies ?12 ?11) =>= truth [12, 11] by wajsberg_4 ?11 ?12
Id :   6, {_}: or ?14 ?15 =<= implies (not ?14) ?15 [15, 14] by or_definition ?14 ?15
Id :   8, {_}: or ?21 ?22 =?= or ?22 ?21 [22, 21] by or_commutativity ?21 ?22
Id :  63, {_}: implies (or ?11 (not ?12)) (implies ?12 ?11) =>= truth [12, 11] by Demod 5 with 6 at 1,2
Id : 163, {_}: implies (or ?405 falsehood) (implies truth ?405) =>= truth [405] by Super 63 with 17 at 2,1,2
Id : 391, {_}: implies (or ?832 falsehood) ?832 =>= truth [832] by Demod 163 with 2 at 2,2
Id : 1010, {_}: implies (or falsehood ?1592) ?1592 =>= truth [1592] by Super 391 with 8 at 1,2
Id : 417, {_}: implies (implies ?886 truth) (implies ?887 (implies ?886 ?887)) =>= truth [887, 886] by Super 20 with 2 at 1,2,2
Id : 418, {_}: implies (implies truth truth) (implies ?889 ?889) =>= truth [889] by Super 417 with 2 at 2,2,2
Id : 454, {_}: implies truth (implies ?889 ?889) =>= truth [889] by Demod 418 with 2 at 1,2
Id : 455, {_}: implies ?889 ?889 =>= truth [889] by Demod 454 with 2 at 2
Id : 481, {_}: or ?972 (not ?972) =>= truth [972] by Super 6 with 455 at 3
Id : 1014, {_}: implies truth (not falsehood) =>= truth [] by Super 1010 with 481 at 1,2
Id : 1034, {_}: not falsehood =>= truth [] by Demod 1014 with 2 at 2
Id : 1041, {_}: or falsehood ?1609 =<= implies truth ?1609 [1609] by Super 6 with 1034 at 1,3
Id : 1061, {_}: or falsehood ?1609 =>= ?1609 [1609] by Demod 1041 with 2 at 3
Id : 1104, {_}: or ?1626 falsehood =>= ?1626 [1626] by Super 8 with 1061 at 3
Id : 144, {_}: and_star ?40 ?41 =<= and ?40 ?41 [41, 40] by Demod 14 with 9 at 3
Id : 147, {_}: and_star ?24 ?25 =<= not (or (not ?24) (not ?25)) [25, 24] by Demod 9 with 144 at 2
Id : 159, {_}: and_star truth ?397 =<= not (or falsehood (not ?397)) [397] by Super 147 with 17 at 1,1,3
Id : 286, {_}: and_star truth ?700 =<= not (or falsehood (not ?700)) [700] by Super 147 with 17 at 1,1,3
Id : 287, {_}: and_star truth truth =<= not (or falsehood falsehood) [] by Super 286 with 17 at 2,1,3
Id : 305, {_}: and_star truth (or falsehood falsehood) =<= not (or falsehood (and_star truth truth)) [] by Super 159 with 287 at 2,1,3
Id : 331, {_}: and_star (or falsehood (and_star truth truth)) ?746 =<= not (or (and_star truth (or falsehood falsehood)) (not ?746)) [746] by Super 147 with 305 at 1,1,3
Id : 10185, {_}: and_star (and_star truth truth) ?746 =<= not (or (and_star truth (or falsehood falsehood)) (not ?746)) [746] by Demod 331 with 1061 at 1,2
Id : 1075, {_}: and_star truth ?397 =>= not (not ?397) [397] by Demod 159 with 1061 at 1,3
Id : 10186, {_}: and_star (and_star truth truth) ?746 =<= not (or (not (not (or falsehood falsehood))) (not ?746)) [746] by Demod 10185 with 1075 at 1,1,3
Id : 148, {_}: and_star (and ?27 ?28) ?29 =<= and ?27 (and ?28 ?29) [29, 28, 27] by Demod 10 with 144 at 2
Id : 149, {_}: and_star (and ?27 ?28) ?29 =>= and_star ?27 (and ?28 ?29) [29, 28, 27] by Demod 148 with 144 at 3
Id : 150, {_}: and_star (and_star ?27 ?28) ?29 =>= and_star ?27 (and ?28 ?29) [29, 28, 27] by Demod 149 with 144 at 1,2
Id : 151, {_}: and_star (and_star ?27 ?28) ?29 =>= and_star ?27 (and_star ?28 ?29) [29, 28, 27] by Demod 150 with 144 at 2,3
Id : 10187, {_}: and_star truth (and_star truth ?746) =<= not (or (not (not (or falsehood falsehood))) (not ?746)) [746] by Demod 10186 with 151 at 2
Id : 10188, {_}: and_star truth (and_star truth ?746) =<= and_star (not (or falsehood falsehood)) ?746 [746] by Demod 10187 with 147 at 3
Id : 10189, {_}: not (not (and_star truth ?746)) =<= and_star (not (or falsehood falsehood)) ?746 [746] by Demod 10188 with 1075 at 2
Id : 10190, {_}: not (not (and_star truth ?746)) =>= and_star (not falsehood) ?746 [746] by Demod 10189 with 1061 at 1,1,3
Id : 10191, {_}: not (not (not (not ?746))) =>= and_star (not falsehood) ?746 [746] by Demod 10190 with 1075 at 1,1,2
Id : 10192, {_}: not (not (not (not ?746))) =>= and_star truth ?746 [746] by Demod 10191 with 1034 at 1,3
Id : 152, {_}: xor ?34 ?35 =<= or (and_star ?34 (not ?35)) (and (not ?34) ?35) [35, 34] by Demod 12 with 144 at 1,3
Id : 153, {_}: xor ?34 ?35 =<= or (and_star ?34 (not ?35)) (and_star (not ?34) ?35) [35, 34] by Demod 152 with 144 at 2,3
Id : 160, {_}: xor truth ?399 =<= or (and_star truth (not ?399)) (and_star falsehood ?399) [399] by Super 153 with 17 at 1,2,3
Id : 167, {_}: xor truth ?399 =<= or (and_star falsehood ?399) (and_star truth (not ?399)) [399] by Demod 160 with 8 at 3
Id : 1045, {_}: and_star falsehood ?1617 =<= not (or truth (not ?1617)) [1617] by Super 147 with 1034 at 1,1,3
Id :  21, {_}: implies (implies truth ?59) (implies (implies ?59 ?60) ?60) =>= truth [60, 59] by Super 20 with 2 at 2,2,2
Id :  29, {_}: implies ?59 (implies (implies ?59 ?60) ?60) =>= truth [60, 59] by Demod 21 with 2 at 1,2
Id : 5358, {_}: implies (implies ?6263 (implies ?6264 ?6265)) (implies (implies (implies ?6265 ?6264) ?6264) (implies ?6263 ?6265)) =>= truth [6265, 6264, 6263] by Super 3 with 4 at 1,2,2
Id :  22, {_}: implies (implies (implies ?62 ?63) ?64) (implies (implies ?64 (implies (implies ?63 ?65) (implies ?62 ?65))) truth) =>= truth [65, 64, 63, 62] by Super 20 with 3 at 2,2,2
Id : 5414, {_}: implies (implies (implies ?6480 (implies (implies ?6480 ?6481) (implies truth ?6481))) (implies ?6480 truth)) truth =>= truth [6481, 6480] by Super 5358 with 22 at 2,2
Id : 5545, {_}: implies (implies (implies ?6480 (implies (implies ?6480 ?6481) ?6481)) (implies ?6480 truth)) truth =>= truth [6481, 6480] by Demod 5414 with 2 at 2,2,1,1,2
Id : 5546, {_}: implies (implies truth (implies ?6480 truth)) truth =>= truth [6480] by Demod 5545 with 29 at 1,1,2
Id : 5547, {_}: implies (implies ?6480 truth) truth =>= truth [6480] by Demod 5546 with 2 at 1,2
Id : 5611, {_}: implies ?6690 truth =>= truth [6690] by Super 29 with 5547 at 2,2
Id : 5787, {_}: or ?6863 truth =>= truth [6863] by Super 6 with 5611 at 3
Id : 6071, {_}: or truth ?6962 =>= truth [6962] by Super 8 with 5787 at 3
Id : 6122, {_}: and_star falsehood ?1617 =>= not truth [1617] by Demod 1045 with 6071 at 1,3
Id : 6137, {_}: and_star falsehood ?1617 =>= falsehood [1617] by Demod 6122 with 17 at 3
Id : 7646, {_}: xor truth ?399 =<= or falsehood (and_star truth (not ?399)) [399] by Demod 167 with 6137 at 1,3
Id : 7647, {_}: xor truth ?399 =<= or falsehood (not (not (not ?399))) [399] by Demod 7646 with 1075 at 2,3
Id : 7648, {_}: xor truth ?399 =<= not (not (not ?399)) [399] by Demod 7647 with 1061 at 3
Id : 10193, {_}: xor truth (not ?746) =>= and_star truth ?746 [746] by Demod 10192 with 7648 at 2
Id : 10194, {_}: xor truth (not ?746) =>= not (not ?746) [746] by Demod 10193 with 1075 at 3
Id : 7670, {_}: xor truth ?8495 =<= not (not (not ?8495)) [8495] by Demod 7647 with 1061 at 3
Id : 7675, {_}: xor truth (not ?8504) =>= not (xor truth ?8504) [8504] by Super 7670 with 7648 at 1,3
Id : 10195, {_}: not (xor truth ?746) =>= not (not ?746) [746] by Demod 10194 with 7675 at 2
Id : 10223, {_}: or (xor truth ?10508) ?10509 =<= implies (not (not ?10508)) ?10509 [10509, 10508] by Super 6 with 10195 at 1,3
Id : 10284, {_}: or (xor truth ?10508) ?10509 =>= or (not ?10508) ?10509 [10509, 10508] by Demod 10223 with 6 at 3
Id : 11300, {_}: or (not ?11608) falsehood =>= xor truth ?11608 [11608] by Super 1104 with 10284 at 2
Id : 11338, {_}: or falsehood (not ?11608) =>= xor truth ?11608 [11608] by Demod 11300 with 8 at 2
Id : 11339, {_}: not ?11608 =<= xor truth ?11608 [11608] by Demod 11338 with 1061 at 2
Id : 11422, {_}: xor ?11699 truth =>= not ?11699 [11699] by Super 13 with 11339 at 3
Id : 4084, {_}: or truth ?5211 =<= or ?5212 (or (not ?5212) ?5211) [5212, 5211] by Super 7 with 481 at 1,2
Id : 4101, {_}: or truth (not (not ?5256)) =>= or ?5256 truth [5256] by Super 4084 with 481 at 2,3
Id : 4174, {_}: and_star falsehood (not ?5293) =>= not (or ?5293 truth) [5293] by Super 1045 with 4101 at 1,3
Id : 4263, {_}: xor falsehood ?5358 =<= or (not (or ?5358 truth)) (and_star (not falsehood) ?5358) [5358] by Super 153 with 4174 at 1,3
Id : 4304, {_}: xor falsehood ?5358 =<= or (not (or ?5358 truth)) (and_star truth ?5358) [5358] by Demod 4263 with 1034 at 1,2,3
Id : 4305, {_}: xor falsehood ?5358 =<= or (and_star truth ?5358) (not (or ?5358 truth)) [5358] by Demod 4304 with 8 at 3
Id : 4306, {_}: xor falsehood ?5358 =<= or (not (not ?5358)) (not (or ?5358 truth)) [5358] by Demod 4305 with 1075 at 1,3
Id : 539, {_}: and_star ?1028 (not ?1028) =>= not truth [1028] by Super 147 with 481 at 1,3
Id : 548, {_}: and_star ?1028 (not ?1028) =>= falsehood [1028] by Demod 539 with 17 at 3
Id : 671, {_}: and_star falsehood ?1186 =<= and_star ?1187 (and_star (not ?1187) ?1186) [1187, 1186] by Super 151 with 548 at 1,2
Id : 6282, {_}: falsehood =<= and_star ?7032 (and_star (not ?7032) ?7033) [7033, 7032] by Demod 671 with 6137 at 2
Id : 6288, {_}: falsehood =<= and_star ?7049 falsehood [7049] by Super 6282 with 548 at 2,3
Id : 6336, {_}: xor ?7080 falsehood =<= or (and_star ?7080 (not falsehood)) falsehood [7080] by Super 153 with 6288 at 2,3
Id : 6352, {_}: xor ?7080 falsehood =<= or falsehood (and_star ?7080 (not falsehood)) [7080] by Demod 6336 with 8 at 3
Id : 6353, {_}: xor ?7080 falsehood =<= and_star ?7080 (not falsehood) [7080] by Demod 6352 with 1061 at 3
Id : 6354, {_}: xor ?7080 falsehood =<= and_star ?7080 truth [7080] by Demod 6353 with 1034 at 2,3
Id : 1173, {_}: and_star falsehood ?1703 =<= not (or truth (not ?1703)) [1703] by Super 147 with 1034 at 1,1,3
Id : 1175, {_}: and_star falsehood falsehood =<= not (or truth truth) [] by Super 1173 with 1034 at 2,1,3
Id : 1213, {_}: and_star ?1736 (or truth truth) =<= not (or (not ?1736) (and_star falsehood falsehood)) [1736] by Super 147 with 1175 at 2,1,3
Id : 1170, {_}: or (or truth (not ?1695)) ?1696 =>= implies (and_star falsehood ?1695) ?1696 [1696, 1695] by Super 6 with 1045 at 1,3
Id : 2157, {_}: or truth (or (not ?2757) ?2758) =>= implies (and_star falsehood ?2757) ?2758 [2758, 2757] by Demod 1170 with 7 at 2
Id : 1106, {_}: implies (not ?1630) (implies ?1630 falsehood) =>= truth [1630] by Super 63 with 1061 at 1,2
Id : 1120, {_}: or ?1630 (implies ?1630 falsehood) =>= truth [1630] by Demod 1106 with 6 at 2
Id : 2171, {_}: or truth truth =<= implies (and_star falsehood ?2794) (implies (not ?2794) falsehood) [2794] by Super 2157 with 1120 at 2,2
Id : 2199, {_}: or truth truth =<= implies (and_star falsehood ?2794) (or ?2794 falsehood) [2794] by Demod 2171 with 6 at 2,3
Id : 2547, {_}: or truth truth =<= implies (and_star falsehood ?3522) ?3522 [3522] by Demod 2199 with 1104 at 2,3
Id : 145, {_}: and_star ?31 ?32 =<= and ?32 ?31 [32, 31] by Demod 11 with 144 at 2
Id : 146, {_}: and_star ?31 ?32 =?= and_star ?32 ?31 [32, 31] by Demod 145 with 144 at 3
Id : 2550, {_}: or truth truth =<= implies (and_star ?3528 falsehood) ?3528 [3528] by Super 2547 with 146 at 1,3
Id : 5781, {_}: or truth truth =>= truth [] by Super 2550 with 5611 at 3
Id : 5924, {_}: and_star ?1736 truth =<= not (or (not ?1736) (and_star falsehood falsehood)) [1736] by Demod 1213 with 5781 at 2,2
Id : 5927, {_}: and_star falsehood falsehood =>= not truth [] by Demod 1175 with 5781 at 1,3
Id : 5947, {_}: and_star falsehood falsehood =>= falsehood [] by Demod 5927 with 17 at 3
Id : 5977, {_}: and_star ?1736 truth =<= not (or (not ?1736) falsehood) [1736] by Demod 5924 with 5947 at 2,1,3
Id : 5978, {_}: and_star ?1736 truth =<= not (or falsehood (not ?1736)) [1736] by Demod 5977 with 8 at 1,3
Id : 5979, {_}: and_star ?1736 truth =>= not (not ?1736) [1736] by Demod 5978 with 1061 at 1,3
Id : 6355, {_}: xor ?7080 falsehood =>= not (not ?7080) [7080] by Demod 6354 with 5979 at 3
Id : 6377, {_}: xor falsehood ?7104 =>= not (not ?7104) [7104] by Super 13 with 6355 at 3
Id : 12029, {_}: not (not ?5358) =<= or (not (not ?5358)) (not (or ?5358 truth)) [5358] by Demod 4306 with 6377 at 2
Id : 7656, {_}: or (not (not ?8448)) ?8449 =<= implies (xor truth ?8448) ?8449 [8449, 8448] by Super 6 with 7648 at 1,3
Id : 11396, {_}: or (not (not ?8448)) ?8449 =>= implies (not ?8448) ?8449 [8449, 8448] by Demod 7656 with 11339 at 1,3
Id : 11408, {_}: or (not (not ?8448)) ?8449 =>= or ?8448 ?8449 [8449, 8448] by Demod 11396 with 6 at 3
Id : 12030, {_}: not (not ?5358) =<= or ?5358 (not (or ?5358 truth)) [5358] by Demod 12029 with 11408 at 3
Id : 12031, {_}: not (not ?5358) =<= or ?5358 (not truth) [5358] by Demod 12030 with 5787 at 1,2,3
Id : 12032, {_}: not (not ?5358) =<= or ?5358 falsehood [5358] by Demod 12031 with 17 at 2,3
Id : 12033, {_}: not (not ?5358) =>= ?5358 [5358] by Demod 12032 with 1104 at 3
Id : 12055, {_}: and_star ?12043 (not ?12044) =<= not (or (not ?12043) ?12044) [12044, 12043] by Super 147 with 12033 at 2,1,3
Id : 12059, {_}: or (not ?12055) ?12056 =>= implies ?12055 ?12056 [12056, 12055] by Super 6 with 12033 at 1,3
Id : 12741, {_}: and_star ?12043 (not ?12044) =>= not (implies ?12043 ?12044) [12044, 12043] by Demod 12055 with 12059 at 1,3
Id : 12745, {_}: xor ?34 ?35 =<= or (not (implies ?34 ?35)) (and_star (not ?34) ?35) [35, 34] by Demod 153 with 12741 at 1,3
Id : 12747, {_}: xor ?34 ?35 =<= implies (implies ?34 ?35) (and_star (not ?34) ?35) [35, 34] by Demod 12745 with 12059 at 3
Id : 12752, {_}: xor ?12558 (not ?12559) =<= implies (implies ?12558 (not ?12559)) (not (implies (not ?12558) ?12559)) [12559, 12558] by Super 12747 with 12741 at 2,3
Id :  97, {_}: or (or (not ?264) (not ?265)) ?266 =>= implies (and ?264 ?265) ?266 [266, 265, 264] by Super 6 with 9 at 1,3
Id : 104, {_}: or (not ?264) (or (not ?265) ?266) =>= implies (and ?264 ?265) ?266 [266, 265, 264] by Demod 97 with 7 at 2
Id : 6981, {_}: or (not ?264) (or (not ?265) ?266) =>= implies (and_star ?264 ?265) ?266 [266, 265, 264] by Demod 104 with 144 at 1,3
Id : 12087, {_}: implies ?264 (or (not ?265) ?266) =>= implies (and_star ?264 ?265) ?266 [266, 265, 264] by Demod 6981 with 12059 at 2
Id : 12088, {_}: implies ?264 (implies ?265 ?266) =<= implies (and_star ?264 ?265) ?266 [266, 265, 264] by Demod 12087 with 12059 at 2,2
Id : 12112, {_}: implies ?12110 falsehood =>= not ?12110 [12110] by Super 1104 with 12059 at 2
Id : 12209, {_}: implies ?12281 (implies ?12282 falsehood) =>= not (and_star ?12281 ?12282) [12282, 12281] by Super 12088 with 12112 at 3
Id : 12221, {_}: implies ?12281 (not ?12282) =>= not (and_star ?12281 ?12282) [12282, 12281] by Demod 12209 with 12112 at 2,2
Id : 12792, {_}: xor ?12558 (not ?12559) =<= not (and_star (implies ?12558 (not ?12559)) (implies (not ?12558) ?12559)) [12559, 12558] by Demod 12752 with 12221 at 3
Id : 12793, {_}: xor ?12558 (not ?12559) =<= not (and_star (not (and_star ?12558 ?12559)) (implies (not ?12558) ?12559)) [12559, 12558] by Demod 12792 with 12221 at 1,1,3
Id : 12794, {_}: xor ?12558 (not ?12559) =<= not (and_star (not (and_star ?12558 ?12559)) (or ?12558 ?12559)) [12559, 12558] by Demod 12793 with 6 at 2,1,3
Id : 12795, {_}: xor ?12558 (not ?12559) =<= not (and_star (or ?12558 ?12559) (not (and_star ?12558 ?12559))) [12559, 12558] by Demod 12794 with 146 at 1,3
Id : 12796, {_}: xor ?12558 (not ?12559) =<= not (not (implies (or ?12558 ?12559) (and_star ?12558 ?12559))) [12559, 12558] by Demod 12795 with 12741 at 1,3
Id : 16650, {_}: xor ?16203 (not ?16204) =<= implies (or ?16203 ?16204) (and_star ?16203 ?16204) [16204, 16203] by Demod 12796 with 12033 at 3
Id : 16661, {_}: xor ?16234 (not ?16235) =<= implies (or ?16235 ?16234) (and_star ?16234 ?16235) [16235, 16234] by Super 16650 with 8 at 1,3
Id : 16651, {_}: xor ?16206 (not ?16207) =<= implies (or ?16206 ?16207) (and_star ?16207 ?16206) [16207, 16206] by Super 16650 with 146 at 2,3
Id : 21575, {_}: xor ?16234 (not ?16235) =?= xor ?16235 (not ?16234) [16235, 16234] by Demod 16661 with 16651 at 3
Id : 21684, {_}: xor x (not y) =?= xor x (not y) [] by Demod 21683 with 21575 at 3
Id : 21683, {_}: xor x (not y) =<= xor y (not x) [] by Demod 21682 with 11422 at 2,3
Id : 21682, {_}: xor x (not y) =<= xor y (xor x truth) [] by Demod 21681 with 13 at 3
Id : 21681, {_}: xor x (not y) =<= xor (xor x truth) y [] by Demod 1 with 11339 at 2,2
Id :   1, {_}: xor x (xor truth y) =<= xor (xor x truth) y [] by prove_alternative_wajsberg_axiom
% SZS output end CNFRefutation for LCL159-1.p
16313: solved LCL159-1.p in 5.528345 using kbo
!! infer_left                                     373    0.0004    0.0000    0.0000
!! infer_right                                    193   12.4988    0.5129    0.0648
!! simplify_goal                                  373    0.0950    0.0030    0.0003
!! keep_simplified                                710    3.6336    0.2353    0.0051
!! simplification_step                            907    3.6296    0.2054    0.0040
!! simplify                                     24005   13.7595    0.2089    0.0006
!! orphan_murder                                  776    0.0295    0.0003    0.0000
!! is_subsumed                                  23142    0.9116    0.2081    0.0000
!! build_new_clause                             10329    0.8452    0.2005    0.0001
!! demodulate                                   24244   12.6602    0.2089    0.0005
!! demod                                       166343   11.7371    0.2082    0.0001
!! demod.apply_subst                           275656    1.8072    0.2006    0.0000
!! demod.compare_terms                         125185    4.2366    0.2081    0.0000
!! demod.retrieve_generalizations              166343    2.0120    0.2002    0.0000
!! demod.unify                                 208187    0.8599    0.2001    0.0000
!! build_clause                                 24751    1.1632    0.2005    0.0000
!! compare_terms(kbo)                          153428    3.4514    0.2081    0.0000
!! compare_terms(nrkbo)                            17    0.0002    0.0000    0.0000
16331: Facts:
16331:  Id :   2, {_}: implies truth ?2 =>= ?2 [2] by wajsberg_1 ?2
16331:  Id :   3, {_}:
          implies (implies ?4 ?5) (implies (implies ?5 ?6) (implies ?4 ?6))
          =>=
          truth
          [6, 5, 4] by wajsberg_2 ?4 ?5 ?6
16331:  Id :   4, {_}:
          implies (implies ?8 ?9) ?9 =?= implies (implies ?9 ?8) ?8
          [9, 8] by wajsberg_3 ?8 ?9
16331:  Id :   5, {_}:
          implies (implies (not ?11) (not ?12)) (implies ?12 ?11) =>= truth
          [12, 11] by wajsberg_4 ?11 ?12
16331:  Id :   6, {_}:
          or ?14 ?15 =<= implies (not ?14) ?15
          [15, 14] by or_definition ?14 ?15
16331:  Id :   7, {_}:
          or (or ?17 ?18) ?19 =?= or ?17 (or ?18 ?19)
          [19, 18, 17] by or_associativity ?17 ?18 ?19
16331:  Id :   8, {_}: or ?21 ?22 =<->= or ?22 ?21 [22, 21] by or_commutativity ?21 ?22
16331:  Id :   9, {_}:
          and ?24 ?25 =<= not (or (not ?24) (not ?25))
          [25, 24] by and_definition ?24 ?25
16331:  Id :  10, {_}:
          and (and ?27 ?28) ?29 =?= and ?27 (and ?28 ?29)
          [29, 28, 27] by and_associativity ?27 ?28 ?29
16331:  Id :  11, {_}:
          and ?31 ?32 =<->= and ?32 ?31
          [32, 31] by and_commutativity ?31 ?32
16331:  Id :  12, {_}:
          xor ?34 ?35 =<= or (and ?34 (not ?35)) (and (not ?34) ?35)
          [35, 34] by xor_definition ?34 ?35
16331:  Id :  13, {_}:
          xor ?37 ?38 =<->= xor ?38 ?37
          [38, 37] by xor_commutativity ?37 ?38
16331:  Id :  14, {_}:
          and_star ?40 ?41 =<= not (or (not ?40) (not ?41))
          [41, 40] by and_star_definition ?40 ?41
16331:  Id :  15, {_}:
          and_star (and_star ?43 ?44) ?45 =?= and_star ?43 (and_star ?44 ?45)
          [45, 44, 43] by and_star_associativity ?43 ?44 ?45
16331:  Id :  16, {_}:
          and_star ?47 ?48 =<->= and_star ?48 ?47
          [48, 47] by and_star_commutativity ?47 ?48
16331:  Id :  17, {_}: not truth =>= falsehood [] by false_definition
16331: Goal:
16331:  Id :   1, {_}:
          and_star (xor (and_star (xor truth x) y) truth) y
          =<=
          and_star (xor (and_star (xor truth y) x) truth) x
          [] by prove_alternative_wajsberg_axiom
% SZS status Timeout for LCL160-1.p
16350: Facts:
16350:  Id :   2, {_}: implies truth ?2 =>= ?2 [2] by wajsberg_1 ?2
16350:  Id :   3, {_}:
          implies (implies ?4 ?5) (implies (implies ?5 ?6) (implies ?4 ?6))
          =>=
          truth
          [6, 5, 4] by wajsberg_2 ?4 ?5 ?6
16350:  Id :   4, {_}:
          implies (implies ?8 ?9) ?9 =?= implies (implies ?9 ?8) ?8
          [9, 8] by wajsberg_3 ?8 ?9
16350:  Id :   5, {_}:
          implies (implies (not ?11) (not ?12)) (implies ?12 ?11) =>= truth
          [12, 11] by wajsberg_4 ?11 ?12
16350:  Id :   6, {_}:
          or ?14 ?15 =<= implies (not ?14) ?15
          [15, 14] by or_definition ?14 ?15
16350:  Id :   7, {_}:
          or (or ?17 ?18) ?19 =?= or ?17 (or ?18 ?19)
          [19, 18, 17] by or_associativity ?17 ?18 ?19
16350:  Id :   8, {_}: or ?21 ?22 =<->= or ?22 ?21 [22, 21] by or_commutativity ?21 ?22
16350:  Id :   9, {_}:
          and ?24 ?25 =<= not (or (not ?24) (not ?25))
          [25, 24] by and_definition ?24 ?25
16350:  Id :  10, {_}:
          and (and ?27 ?28) ?29 =?= and ?27 (and ?28 ?29)
          [29, 28, 27] by and_associativity ?27 ?28 ?29
16350:  Id :  11, {_}:
          and ?31 ?32 =<->= and ?32 ?31
          [32, 31] by and_commutativity ?31 ?32
16350: Goal:
16350:  Id :   1, {_}:
          not (or (and x (or x x)) (and x x))
          =<=
          and (not x) (or (or (not x) (not x)) (and (not x) (not x)))
          [] by prove_wajsberg_theorem
% SZS status Timeout for LCL165-1.p
16389: Facts:
16389:  Id :   2, {_}: add ?2 additive_identity =>= ?2 [2] by right_identity ?2
16389:  Id :   3, {_}:
          add ?4 (additive_inverse ?4) =>= additive_identity
          [4] by right_additive_inverse ?4
16389:  Id :   4, {_}:
          multiply ?6 (add ?7 ?8) =<= add (multiply ?6 ?7) (multiply ?6 ?8)
          [8, 7, 6] by distribute1 ?6 ?7 ?8
16389:  Id :   5, {_}:
          multiply (add ?10 ?11) ?12
          =<=
          add (multiply ?10 ?12) (multiply ?11 ?12)
          [12, 11, 10] by distribute2 ?10 ?11 ?12
16389:  Id :   6, {_}:
          add (add ?14 ?15) ?16 =?= add ?14 (add ?15 ?16)
          [16, 15, 14] by associative_addition ?14 ?15 ?16
16389:  Id :   7, {_}:
          add ?18 ?19 =<->= add ?19 ?18
          [19, 18] by commutative_addition ?18 ?19
16389:  Id :   8, {_}:
          multiply (multiply ?21 ?22) ?23 =?= multiply ?21 (multiply ?22 ?23)
          [23, 22, 21] by associative_multiplication ?21 ?22 ?23
16389:  Id :   9, {_}: multiply ?25 (multiply ?25 ?25) =>= ?25 [25] by x_cubed_is_x ?25
16389: Goal:
16389:  Id :   1, {_}: multiply a b =<= multiply b a [] by prove_commutativity
% SZS status Timeout for RNG009-5.p
16412: Facts:
16412:  Id :   2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
16412:  Id :   3, {_}:
          add ?4 additive_identity =>= ?4
          [4] by right_additive_identity ?4
16412:  Id :   4, {_}:
          add (additive_inverse ?6) ?6 =>= additive_identity
          [6] by left_additive_inverse ?6
16412:  Id :   5, {_}:
          add ?8 (additive_inverse ?8) =>= additive_identity
          [8] by right_additive_inverse ?8
16412:  Id :   6, {_}:
          add ?10 (add ?11 ?12) =?= add (add ?10 ?11) ?12
          [12, 11, 10] by associativity_for_addition ?10 ?11 ?12
16412:  Id :   7, {_}:
          add ?14 ?15 =<->= add ?15 ?14
          [15, 14] by commutativity_for_addition ?14 ?15
16412:  Id :   8, {_}:
          multiply ?17 (multiply ?18 ?19) =?= multiply (multiply ?17 ?18) ?19
          [19, 18, 17] by associativity_for_multiplication ?17 ?18 ?19
16412:  Id :   9, {_}:
          multiply ?21 (add ?22 ?23)
          =<=
          add (multiply ?21 ?22) (multiply ?21 ?23)
          [23, 22, 21] by distribute1 ?21 ?22 ?23
16412:  Id :  10, {_}:
          multiply (add ?25 ?26) ?27
          =<=
          add (multiply ?25 ?27) (multiply ?26 ?27)
          [27, 26, 25] by distribute2 ?25 ?26 ?27
16412:  Id :  11, {_}: multiply ?29 (multiply ?29 ?29) =>= ?29 [29] by x_cubed_is_x ?29
16412:  Id :  12, {_}: multiply a b =>= c [] by a_times_b_is_c
16412: Goal:
16412:  Id :   1, {_}: multiply b a =>= c [] by prove_commutativity
% SZS status Timeout for RNG009-7.p
17441: Facts:
17441:  Id :   2, {_}: add ?2 ?3 =<->= add ?3 ?2 [3, 2] by commutative_addition ?2 ?3
17441:  Id :   3, {_}:
          add (add ?5 ?6) ?7 =?= add ?5 (add ?6 ?7)
          [7, 6, 5] by associative_addition ?5 ?6 ?7
17441:  Id :   4, {_}: add ?9 additive_identity =>= ?9 [9] by right_identity ?9
17441:  Id :   5, {_}: add additive_identity ?11 =>= ?11 [11] by left_identity ?11
17441:  Id :   6, {_}:
          add ?13 (additive_inverse ?13) =>= additive_identity
          [13] by right_additive_inverse ?13
17441:  Id :   7, {_}:
          add (additive_inverse ?15) ?15 =>= additive_identity
          [15] by left_additive_inverse ?15
17441:  Id :   8, {_}:
          additive_inverse additive_identity =>= additive_identity
          [] by additive_inverse_identity
17441:  Id :   9, {_}:
          add ?18 (add (additive_inverse ?18) ?19) =>= ?19
          [19, 18] by property_of_inverse_and_add ?18 ?19
17441:  Id :  10, {_}:
          additive_inverse (add ?21 ?22)
          =<=
          add (additive_inverse ?21) (additive_inverse ?22)
          [22, 21] by distribute_additive_inverse ?21 ?22
17441:  Id :  11, {_}:
          additive_inverse (additive_inverse ?24) =>= ?24
          [24] by additive_inverse_additive_inverse ?24
17441:  Id :  12, {_}:
          multiply ?26 additive_identity =>= additive_identity
          [26] by multiply_additive_id1 ?26
17441:  Id :  13, {_}:
          multiply additive_identity ?28 =>= additive_identity
          [28] by multiply_additive_id2 ?28
17441:  Id :  14, {_}:
          multiply (additive_inverse ?30) (additive_inverse ?31)
          =>=
          multiply ?30 ?31
          [31, 30] by product_of_inverse ?30 ?31
17441:  Id :  15, {_}:
          multiply ?33 (additive_inverse ?34)
          =>=
          additive_inverse (multiply ?33 ?34)
          [34, 33] by multiply_additive_inverse1 ?33 ?34
17441:  Id :  16, {_}:
          multiply (additive_inverse ?36) ?37
          =>=
          additive_inverse (multiply ?36 ?37)
          [37, 36] by multiply_additive_inverse2 ?36 ?37
17441:  Id :  17, {_}:
          multiply ?39 (add ?40 ?41)
          =<=
          add (multiply ?39 ?40) (multiply ?39 ?41)
          [41, 40, 39] by distribute1 ?39 ?40 ?41
17441:  Id :  18, {_}:
          multiply (add ?43 ?44) ?45
          =<=
          add (multiply ?43 ?45) (multiply ?44 ?45)
          [45, 44, 43] by distribute2 ?43 ?44 ?45
17441:  Id :  19, {_}:
          multiply (multiply ?47 ?48) ?48 =?= multiply ?47 (multiply ?48 ?48)
          [48, 47] by right_alternative ?47 ?48
17441:  Id :  20, {_}:
          associator ?50 ?51 ?52
          =<=
          add (multiply (multiply ?50 ?51) ?52)
            (additive_inverse (multiply ?50 (multiply ?51 ?52)))
          [52, 51, 50] by associator ?50 ?51 ?52
17441:  Id :  21, {_}:
          commutator ?54 ?55
          =<=
          add (multiply ?55 ?54) (additive_inverse (multiply ?54 ?55))
          [55, 54] by commutator ?54 ?55
17441:  Id :  22, {_}:
          multiply (multiply (associator ?57 ?57 ?58) ?57)
            (associator ?57 ?57 ?58)
          =>=
          additive_identity
          [58, 57] by middle_associator ?57 ?58
17441:  Id :  23, {_}:
          multiply (multiply ?60 ?60) ?61 =?= multiply ?60 (multiply ?60 ?61)
          [61, 60] by left_alternative ?60 ?61
17441:  Id :  24, {_}:
          s ?63 ?64 ?65 ?66
          =<=
          add
            (add (associator (multiply ?63 ?64) ?65 ?66)
              (additive_inverse (multiply ?64 (associator ?63 ?65 ?66))))
            (additive_inverse (multiply (associator ?64 ?65 ?66) ?63))
          [66, 65, 64, 63] by defines_s ?63 ?64 ?65 ?66
17441:  Id :  25, {_}:
          multiply ?68 (multiply ?69 (multiply ?70 ?69))
          =?=
          multiply (multiply (multiply ?68 ?69) ?70) ?69
          [70, 69, 68] by right_moufang ?68 ?69 ?70
17441:  Id :  26, {_}:
          multiply (multiply ?72 (multiply ?73 ?72)) ?74
          =?=
          multiply ?72 (multiply ?73 (multiply ?72 ?74))
          [74, 73, 72] by left_moufang ?72 ?73 ?74
17441:  Id :  27, {_}:
          multiply (multiply ?76 ?77) (multiply ?78 ?76)
          =?=
          multiply (multiply ?76 (multiply ?77 ?78)) ?76
          [78, 77, 76] by middle_moufang ?76 ?77 ?78
17441: Goal:
17441:  Id :   1, {_}:
          s a b c d =<= additive_inverse (s b a c d)
          [] by prove_skew_symmetry
% SZS status Timeout for RNG010-5.p
17460: Facts:
17460:  Id :   2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
17460:  Id :   3, {_}:
          add ?4 additive_identity =>= ?4
          [4] by right_additive_identity ?4
17460:  Id :   4, {_}:
          multiply additive_identity ?6 =>= additive_identity
          [6] by left_multiplicative_zero ?6
17460:  Id :   5, {_}:
          multiply ?8 additive_identity =>= additive_identity
          [8] by right_multiplicative_zero ?8
17460:  Id :   6, {_}:
          add (additive_inverse ?10) ?10 =>= additive_identity
          [10] by left_additive_inverse ?10
17460:  Id :   7, {_}:
          add ?12 (additive_inverse ?12) =>= additive_identity
          [12] by right_additive_inverse ?12
17460:  Id :   8, {_}:
          additive_inverse (additive_inverse ?14) =>= ?14
          [14] by additive_inverse_additive_inverse ?14
17460:  Id :   9, {_}:
          multiply ?16 (add ?17 ?18)
          =<=
          add (multiply ?16 ?17) (multiply ?16 ?18)
          [18, 17, 16] by distribute1 ?16 ?17 ?18
17460:  Id :  10, {_}:
          multiply (add ?20 ?21) ?22
          =<=
          add (multiply ?20 ?22) (multiply ?21 ?22)
          [22, 21, 20] by distribute2 ?20 ?21 ?22
17460:  Id :  11, {_}:
          add ?24 ?25 =<->= add ?25 ?24
          [25, 24] by commutativity_for_addition ?24 ?25
17460:  Id :  12, {_}:
          add ?27 (add ?28 ?29) =?= add (add ?27 ?28) ?29
          [29, 28, 27] by associativity_for_addition ?27 ?28 ?29
17460:  Id :  13, {_}:
          multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
          [32, 31] by right_alternative ?31 ?32
17460:  Id :  14, {_}:
          multiply (multiply ?34 ?34) ?35 =?= multiply ?34 (multiply ?34 ?35)
          [35, 34] by left_alternative ?34 ?35
17460:  Id :  15, {_}:
          associator ?37 ?38 ?39
          =<=
          add (multiply (multiply ?37 ?38) ?39)
            (additive_inverse (multiply ?37 (multiply ?38 ?39)))
          [39, 38, 37] by associator ?37 ?38 ?39
17460:  Id :  16, {_}:
          commutator ?41 ?42
          =<=
          add (multiply ?42 ?41) (additive_inverse (multiply ?41 ?42))
          [42, 41] by commutator ?41 ?42
17460:  Id :  17, {_}:
          s ?44 ?45 ?46 ?47
          =<=
          add
            (add (associator (multiply ?44 ?45) ?46 ?47)
              (additive_inverse (multiply ?45 (associator ?44 ?46 ?47))))
            (additive_inverse (multiply (associator ?45 ?46 ?47) ?44))
          [47, 46, 45, 44] by defines_s ?44 ?45 ?46 ?47
17460:  Id :  18, {_}:
          multiply ?49 (multiply ?50 (multiply ?51 ?50))
          =?=
          multiply (multiply (multiply ?49 ?50) ?51) ?50
          [51, 50, 49] by right_moufang ?49 ?50 ?51
17460:  Id :  19, {_}:
          multiply (multiply ?53 (multiply ?54 ?53)) ?55
          =?=
          multiply ?53 (multiply ?54 (multiply ?53 ?55))
          [55, 54, 53] by left_moufang ?53 ?54 ?55
17460:  Id :  20, {_}:
          multiply (multiply ?57 ?58) (multiply ?59 ?57)
          =?=
          multiply (multiply ?57 (multiply ?58 ?59)) ?57
          [59, 58, 57] by middle_moufang ?57 ?58 ?59
17460: Goal:
17460:  Id :   1, {_}:
          s a b c d =<= additive_inverse (s b a c d)
          [] by prove_skew_symmetry
% SZS status Timeout for RNG010-6.p
17502: Facts:
17502:  Id :   2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
17502:  Id :   3, {_}:
          add ?4 additive_identity =>= ?4
          [4] by right_additive_identity ?4
17502:  Id :   4, {_}:
          multiply additive_identity ?6 =>= additive_identity
          [6] by left_multiplicative_zero ?6
17502:  Id :   5, {_}:
          multiply ?8 additive_identity =>= additive_identity
          [8] by right_multiplicative_zero ?8
17502:  Id :   6, {_}:
          add (additive_inverse ?10) ?10 =>= additive_identity
          [10] by left_additive_inverse ?10
17502:  Id :   7, {_}:
          add ?12 (additive_inverse ?12) =>= additive_identity
          [12] by right_additive_inverse ?12
17502:  Id :   8, {_}:
          additive_inverse (additive_inverse ?14) =>= ?14
          [14] by additive_inverse_additive_inverse ?14
17502:  Id :   9, {_}:
          multiply ?16 (add ?17 ?18)
          =<=
          add (multiply ?16 ?17) (multiply ?16 ?18)
          [18, 17, 16] by distribute1 ?16 ?17 ?18
17502:  Id :  10, {_}:
          multiply (add ?20 ?21) ?22
          =<=
          add (multiply ?20 ?22) (multiply ?21 ?22)
          [22, 21, 20] by distribute2 ?20 ?21 ?22
17502:  Id :  11, {_}:
          add ?24 ?25 =<->= add ?25 ?24
          [25, 24] by commutativity_for_addition ?24 ?25
17502:  Id :  12, {_}:
          add ?27 (add ?28 ?29) =?= add (add ?27 ?28) ?29
          [29, 28, 27] by associativity_for_addition ?27 ?28 ?29
17502:  Id :  13, {_}:
          multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
          [32, 31] by right_alternative ?31 ?32
17502:  Id :  14, {_}:
          multiply (multiply ?34 ?34) ?35 =?= multiply ?34 (multiply ?34 ?35)
          [35, 34] by left_alternative ?34 ?35
17502:  Id :  15, {_}:
          associator ?37 ?38 ?39
          =<=
          add (multiply (multiply ?37 ?38) ?39)
            (additive_inverse (multiply ?37 (multiply ?38 ?39)))
          [39, 38, 37] by associator ?37 ?38 ?39
17502:  Id :  16, {_}:
          commutator ?41 ?42
          =<=
          add (multiply ?42 ?41) (additive_inverse (multiply ?41 ?42))
          [42, 41] by commutator ?41 ?42
17502:  Id :  17, {_}:
          multiply (additive_inverse ?44) (additive_inverse ?45)
          =>=
          multiply ?44 ?45
          [45, 44] by product_of_inverses ?44 ?45
17502:  Id :  18, {_}:
          multiply (additive_inverse ?47) ?48
          =>=
          additive_inverse (multiply ?47 ?48)
          [48, 47] by inverse_product1 ?47 ?48
17502:  Id :  19, {_}:
          multiply ?50 (additive_inverse ?51)
          =>=
          additive_inverse (multiply ?50 ?51)
          [51, 50] by inverse_product2 ?50 ?51
17502:  Id :  20, {_}:
          multiply ?53 (add ?54 (additive_inverse ?55))
          =<=
          add (multiply ?53 ?54) (additive_inverse (multiply ?53 ?55))
          [55, 54, 53] by distributivity_of_difference1 ?53 ?54 ?55
17502:  Id :  21, {_}:
          multiply (add ?57 (additive_inverse ?58)) ?59
          =<=
          add (multiply ?57 ?59) (additive_inverse (multiply ?58 ?59))
          [59, 58, 57] by distributivity_of_difference2 ?57 ?58 ?59
17502:  Id :  22, {_}:
          multiply (additive_inverse ?61) (add ?62 ?63)
          =<=
          add (additive_inverse (multiply ?61 ?62))
            (additive_inverse (multiply ?61 ?63))
          [63, 62, 61] by distributivity_of_difference3 ?61 ?62 ?63
17502:  Id :  23, {_}:
          multiply (add ?65 ?66) (additive_inverse ?67)
          =<=
          add (additive_inverse (multiply ?65 ?67))
            (additive_inverse (multiply ?66 ?67))
          [67, 66, 65] by distributivity_of_difference4 ?65 ?66 ?67
17502:  Id :  24, {_}:
          s ?69 ?70 ?71 ?72
          =<=
          add
            (add (associator (multiply ?69 ?70) ?71 ?72)
              (additive_inverse (multiply ?70 (associator ?69 ?71 ?72))))
            (additive_inverse (multiply (associator ?70 ?71 ?72) ?69))
          [72, 71, 70, 69] by defines_s ?69 ?70 ?71 ?72
17502:  Id :  25, {_}:
          multiply ?74 (multiply ?75 (multiply ?76 ?75))
          =?=
          multiply (multiply (multiply ?74 ?75) ?76) ?75
          [76, 75, 74] by right_moufang ?74 ?75 ?76
17502:  Id :  26, {_}:
          multiply (multiply ?78 (multiply ?79 ?78)) ?80
          =?=
          multiply ?78 (multiply ?79 (multiply ?78 ?80))
          [80, 79, 78] by left_moufang ?78 ?79 ?80
17502:  Id :  27, {_}:
          multiply (multiply ?82 ?83) (multiply ?84 ?82)
          =?=
          multiply (multiply ?82 (multiply ?83 ?84)) ?82
          [84, 83, 82] by middle_moufang ?82 ?83 ?84
17502: Goal:
17502:  Id :   1, {_}:
          s a b c d =<= additive_inverse (s b a c d)
          [] by prove_skew_symmetry
% SZS status Timeout for RNG010-7.p
17522: Facts:
17522:  Id :   2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
17522:  Id :   3, {_}:
          add ?4 additive_identity =>= ?4
          [4] by right_additive_identity ?4
17522:  Id :   4, {_}:
          multiply additive_identity ?6 =>= additive_identity
          [6] by left_multiplicative_zero ?6
17522:  Id :   5, {_}:
          multiply ?8 additive_identity =>= additive_identity
          [8] by right_multiplicative_zero ?8
17522:  Id :   6, {_}:
          add (additive_inverse ?10) ?10 =>= additive_identity
          [10] by left_additive_inverse ?10
17522:  Id :   7, {_}:
          add ?12 (additive_inverse ?12) =>= additive_identity
          [12] by right_additive_inverse ?12
17522:  Id :   8, {_}:
          additive_inverse (additive_inverse ?14) =>= ?14
          [14] by additive_inverse_additive_inverse ?14
17522:  Id :   9, {_}:
          multiply ?16 (add ?17 ?18)
          =<=
          add (multiply ?16 ?17) (multiply ?16 ?18)
          [18, 17, 16] by distribute1 ?16 ?17 ?18
17522:  Id :  10, {_}:
          multiply (add ?20 ?21) ?22
          =<=
          add (multiply ?20 ?22) (multiply ?21 ?22)
          [22, 21, 20] by distribute2 ?20 ?21 ?22
17522:  Id :  11, {_}:
          add ?24 ?25 =<->= add ?25 ?24
          [25, 24] by commutativity_for_addition ?24 ?25
17522:  Id :  12, {_}:
          add ?27 (add ?28 ?29) =?= add (add ?27 ?28) ?29
          [29, 28, 27] by associativity_for_addition ?27 ?28 ?29
17522:  Id :  13, {_}:
          multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
          [32, 31] by right_alternative ?31 ?32
17522:  Id :  14, {_}:
          multiply (multiply ?34 ?34) ?35 =?= multiply ?34 (multiply ?34 ?35)
          [35, 34] by left_alternative ?34 ?35
17522:  Id :  15, {_}:
          associator ?37 ?38 ?39
          =<=
          add (multiply (multiply ?37 ?38) ?39)
            (additive_inverse (multiply ?37 (multiply ?38 ?39)))
          [39, 38, 37] by associator ?37 ?38 ?39
17522:  Id :  16, {_}:
          commutator ?41 ?42
          =<=
          add (multiply ?42 ?41) (additive_inverse (multiply ?41 ?42))
          [42, 41] by commutator ?41 ?42
17522: Goal:
17522:  Id :   1, {_}:
          associator x y (add u v)
          =<=
          add (associator x y u) (associator x y v)
          [] by prove_linearised_form1
% SZS status Timeout for RNG019-6.p
17554: Facts:
17554:  Id :   2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
17554:  Id :   3, {_}:
          add ?4 additive_identity =>= ?4
          [4] by right_additive_identity ?4
17554:  Id :   4, {_}:
          multiply additive_identity ?6 =>= additive_identity
          [6] by left_multiplicative_zero ?6
17554:  Id :   5, {_}:
          multiply ?8 additive_identity =>= additive_identity
          [8] by right_multiplicative_zero ?8
17554:  Id :   6, {_}:
          add (additive_inverse ?10) ?10 =>= additive_identity
          [10] by left_additive_inverse ?10
17554:  Id :   7, {_}:
          add ?12 (additive_inverse ?12) =>= additive_identity
          [12] by right_additive_inverse ?12
17554:  Id :   8, {_}:
          additive_inverse (additive_inverse ?14) =>= ?14
          [14] by additive_inverse_additive_inverse ?14
17554:  Id :   9, {_}:
          multiply ?16 (add ?17 ?18)
          =<=
          add (multiply ?16 ?17) (multiply ?16 ?18)
          [18, 17, 16] by distribute1 ?16 ?17 ?18
17554:  Id :  10, {_}:
          multiply (add ?20 ?21) ?22
          =<=
          add (multiply ?20 ?22) (multiply ?21 ?22)
          [22, 21, 20] by distribute2 ?20 ?21 ?22
17554:  Id :  11, {_}:
          add ?24 ?25 =<->= add ?25 ?24
          [25, 24] by commutativity_for_addition ?24 ?25
17554:  Id :  12, {_}:
          add ?27 (add ?28 ?29) =?= add (add ?27 ?28) ?29
          [29, 28, 27] by associativity_for_addition ?27 ?28 ?29
17554:  Id :  13, {_}:
          multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
          [32, 31] by right_alternative ?31 ?32
17554:  Id :  14, {_}:
          multiply (multiply ?34 ?34) ?35 =?= multiply ?34 (multiply ?34 ?35)
          [35, 34] by left_alternative ?34 ?35
17554:  Id :  15, {_}:
          associator ?37 ?38 ?39
          =<=
          add (multiply (multiply ?37 ?38) ?39)
            (additive_inverse (multiply ?37 (multiply ?38 ?39)))
          [39, 38, 37] by associator ?37 ?38 ?39
17554:  Id :  16, {_}:
          commutator ?41 ?42
          =<=
          add (multiply ?42 ?41) (additive_inverse (multiply ?41 ?42))
          [42, 41] by commutator ?41 ?42
17554:  Id :  17, {_}:
          multiply (additive_inverse ?44) (additive_inverse ?45)
          =>=
          multiply ?44 ?45
          [45, 44] by product_of_inverses ?44 ?45
17554:  Id :  18, {_}:
          multiply (additive_inverse ?47) ?48
          =>=
          additive_inverse (multiply ?47 ?48)
          [48, 47] by inverse_product1 ?47 ?48
17554:  Id :  19, {_}:
          multiply ?50 (additive_inverse ?51)
          =>=
          additive_inverse (multiply ?50 ?51)
          [51, 50] by inverse_product2 ?50 ?51
17554:  Id :  20, {_}:
          multiply ?53 (add ?54 (additive_inverse ?55))
          =<=
          add (multiply ?53 ?54) (additive_inverse (multiply ?53 ?55))
          [55, 54, 53] by distributivity_of_difference1 ?53 ?54 ?55
17554:  Id :  21, {_}:
          multiply (add ?57 (additive_inverse ?58)) ?59
          =<=
          add (multiply ?57 ?59) (additive_inverse (multiply ?58 ?59))
          [59, 58, 57] by distributivity_of_difference2 ?57 ?58 ?59
17554:  Id :  22, {_}:
          multiply (additive_inverse ?61) (add ?62 ?63)
          =<=
          add (additive_inverse (multiply ?61 ?62))
            (additive_inverse (multiply ?61 ?63))
          [63, 62, 61] by distributivity_of_difference3 ?61 ?62 ?63
17554:  Id :  23, {_}:
          multiply (add ?65 ?66) (additive_inverse ?67)
          =<=
          add (additive_inverse (multiply ?65 ?67))
            (additive_inverse (multiply ?66 ?67))
          [67, 66, 65] by distributivity_of_difference4 ?65 ?66 ?67
17554: Goal:
17554:  Id :   1, {_}:
          associator x y (add u v)
          =<=
          add (associator x y u) (associator x y v)
          [] by prove_linearised_form1
% SZS status Timeout for RNG019-7.p
17590: Facts:
17590:  Id :   2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
17590:  Id :   3, {_}:
          add ?4 additive_identity =>= ?4
          [4] by right_additive_identity ?4
17590:  Id :   4, {_}:
          multiply additive_identity ?6 =>= additive_identity
          [6] by left_multiplicative_zero ?6
17590:  Id :   5, {_}:
          multiply ?8 additive_identity =>= additive_identity
          [8] by right_multiplicative_zero ?8
17590:  Id :   6, {_}:
          add (additive_inverse ?10) ?10 =>= additive_identity
          [10] by left_additive_inverse ?10
17590:  Id :   7, {_}:
          add ?12 (additive_inverse ?12) =>= additive_identity
          [12] by right_additive_inverse ?12
17590:  Id :   8, {_}:
          additive_inverse (additive_inverse ?14) =>= ?14
          [14] by additive_inverse_additive_inverse ?14
17590:  Id :   9, {_}:
          multiply ?16 (add ?17 ?18)
          =<=
          add (multiply ?16 ?17) (multiply ?16 ?18)
          [18, 17, 16] by distribute1 ?16 ?17 ?18
17590:  Id :  10, {_}:
          multiply (add ?20 ?21) ?22
          =<=
          add (multiply ?20 ?22) (multiply ?21 ?22)
          [22, 21, 20] by distribute2 ?20 ?21 ?22
17590:  Id :  11, {_}:
          add ?24 ?25 =<->= add ?25 ?24
          [25, 24] by commutativity_for_addition ?24 ?25
17590:  Id :  12, {_}:
          add ?27 (add ?28 ?29) =?= add (add ?27 ?28) ?29
          [29, 28, 27] by associativity_for_addition ?27 ?28 ?29
17590:  Id :  13, {_}:
          multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
          [32, 31] by right_alternative ?31 ?32
17590:  Id :  14, {_}:
          multiply (multiply ?34 ?34) ?35 =?= multiply ?34 (multiply ?34 ?35)
          [35, 34] by left_alternative ?34 ?35
17590:  Id :  15, {_}:
          associator ?37 ?38 ?39
          =<=
          add (multiply (multiply ?37 ?38) ?39)
            (additive_inverse (multiply ?37 (multiply ?38 ?39)))
          [39, 38, 37] by associator ?37 ?38 ?39
17590:  Id :  16, {_}:
          commutator ?41 ?42
          =<=
          add (multiply ?42 ?41) (additive_inverse (multiply ?41 ?42))
          [42, 41] by commutator ?41 ?42
17590: Goal:
17590:  Id :   1, {_}:
          associator x (add u v) y
          =<=
          add (associator x u y) (associator x v y)
          [] by prove_linearised_form2
% SZS status Timeout for RNG020-6.p
17621: Facts:
17621:  Id :   2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
17621:  Id :   3, {_}:
          add ?4 additive_identity =>= ?4
          [4] by right_additive_identity ?4
17621:  Id :   4, {_}:
          multiply additive_identity ?6 =>= additive_identity
          [6] by left_multiplicative_zero ?6
17621:  Id :   5, {_}:
          multiply ?8 additive_identity =>= additive_identity
          [8] by right_multiplicative_zero ?8
17621:  Id :   6, {_}:
          add (additive_inverse ?10) ?10 =>= additive_identity
          [10] by left_additive_inverse ?10
17621:  Id :   7, {_}:
          add ?12 (additive_inverse ?12) =>= additive_identity
          [12] by right_additive_inverse ?12
17621:  Id :   8, {_}:
          additive_inverse (additive_inverse ?14) =>= ?14
          [14] by additive_inverse_additive_inverse ?14
17621:  Id :   9, {_}:
          multiply ?16 (add ?17 ?18)
          =<=
          add (multiply ?16 ?17) (multiply ?16 ?18)
          [18, 17, 16] by distribute1 ?16 ?17 ?18
17621:  Id :  10, {_}:
          multiply (add ?20 ?21) ?22
          =<=
          add (multiply ?20 ?22) (multiply ?21 ?22)
          [22, 21, 20] by distribute2 ?20 ?21 ?22
17621:  Id :  11, {_}:
          add ?24 ?25 =<->= add ?25 ?24
          [25, 24] by commutativity_for_addition ?24 ?25
17621:  Id :  12, {_}:
          add ?27 (add ?28 ?29) =?= add (add ?27 ?28) ?29
          [29, 28, 27] by associativity_for_addition ?27 ?28 ?29
17621:  Id :  13, {_}:
          multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
          [32, 31] by right_alternative ?31 ?32
17621:  Id :  14, {_}:
          multiply (multiply ?34 ?34) ?35 =?= multiply ?34 (multiply ?34 ?35)
          [35, 34] by left_alternative ?34 ?35
17621:  Id :  15, {_}:
          associator ?37 ?38 ?39
          =<=
          add (multiply (multiply ?37 ?38) ?39)
            (additive_inverse (multiply ?37 (multiply ?38 ?39)))
          [39, 38, 37] by associator ?37 ?38 ?39
17621:  Id :  16, {_}:
          commutator ?41 ?42
          =<=
          add (multiply ?42 ?41) (additive_inverse (multiply ?41 ?42))
          [42, 41] by commutator ?41 ?42
17621:  Id :  17, {_}:
          multiply (additive_inverse ?44) (additive_inverse ?45)
          =>=
          multiply ?44 ?45
          [45, 44] by product_of_inverses ?44 ?45
17621:  Id :  18, {_}:
          multiply (additive_inverse ?47) ?48
          =>=
          additive_inverse (multiply ?47 ?48)
          [48, 47] by inverse_product1 ?47 ?48
17621:  Id :  19, {_}:
          multiply ?50 (additive_inverse ?51)
          =>=
          additive_inverse (multiply ?50 ?51)
          [51, 50] by inverse_product2 ?50 ?51
17621:  Id :  20, {_}:
          multiply ?53 (add ?54 (additive_inverse ?55))
          =<=
          add (multiply ?53 ?54) (additive_inverse (multiply ?53 ?55))
          [55, 54, 53] by distributivity_of_difference1 ?53 ?54 ?55
17621:  Id :  21, {_}:
          multiply (add ?57 (additive_inverse ?58)) ?59
          =<=
          add (multiply ?57 ?59) (additive_inverse (multiply ?58 ?59))
          [59, 58, 57] by distributivity_of_difference2 ?57 ?58 ?59
17621:  Id :  22, {_}:
          multiply (additive_inverse ?61) (add ?62 ?63)
          =<=
          add (additive_inverse (multiply ?61 ?62))
            (additive_inverse (multiply ?61 ?63))
          [63, 62, 61] by distributivity_of_difference3 ?61 ?62 ?63
17621:  Id :  23, {_}:
          multiply (add ?65 ?66) (additive_inverse ?67)
          =<=
          add (additive_inverse (multiply ?65 ?67))
            (additive_inverse (multiply ?66 ?67))
          [67, 66, 65] by distributivity_of_difference4 ?65 ?66 ?67
17621: Goal:
17621:  Id :   1, {_}:
          associator x (add u v) y
          =<=
          add (associator x u y) (associator x v y)
          [] by prove_linearised_form2
% SZS status Timeout for RNG020-7.p
17640: Facts:
17640:  Id :   2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
17640:  Id :   3, {_}:
          add ?4 additive_identity =>= ?4
          [4] by right_additive_identity ?4
17640:  Id :   4, {_}:
          multiply additive_identity ?6 =>= additive_identity
          [6] by left_multiplicative_zero ?6
17640:  Id :   5, {_}:
          multiply ?8 additive_identity =>= additive_identity
          [8] by right_multiplicative_zero ?8
17640:  Id :   6, {_}:
          add (additive_inverse ?10) ?10 =>= additive_identity
          [10] by left_additive_inverse ?10
17640:  Id :   7, {_}:
          add ?12 (additive_inverse ?12) =>= additive_identity
          [12] by right_additive_inverse ?12
17640:  Id :   8, {_}:
          additive_inverse (additive_inverse ?14) =>= ?14
          [14] by additive_inverse_additive_inverse ?14
17640:  Id :   9, {_}:
          multiply ?16 (add ?17 ?18)
          =<=
          add (multiply ?16 ?17) (multiply ?16 ?18)
          [18, 17, 16] by distribute1 ?16 ?17 ?18
17640:  Id :  10, {_}:
          multiply (add ?20 ?21) ?22
          =<=
          add (multiply ?20 ?22) (multiply ?21 ?22)
          [22, 21, 20] by distribute2 ?20 ?21 ?22
17640:  Id :  11, {_}:
          add ?24 ?25 =<->= add ?25 ?24
          [25, 24] by commutativity_for_addition ?24 ?25
17640:  Id :  12, {_}:
          add ?27 (add ?28 ?29) =?= add (add ?27 ?28) ?29
          [29, 28, 27] by associativity_for_addition ?27 ?28 ?29
17640:  Id :  13, {_}:
          multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
          [32, 31] by right_alternative ?31 ?32
17640:  Id :  14, {_}:
          multiply (multiply ?34 ?34) ?35 =?= multiply ?34 (multiply ?34 ?35)
          [35, 34] by left_alternative ?34 ?35
17640:  Id :  15, {_}:
          associator ?37 ?38 ?39
          =<=
          add (multiply (multiply ?37 ?38) ?39)
            (additive_inverse (multiply ?37 (multiply ?38 ?39)))
          [39, 38, 37] by associator ?37 ?38 ?39
17640:  Id :  16, {_}:
          commutator ?41 ?42
          =<=
          add (multiply ?42 ?41) (additive_inverse (multiply ?41 ?42))
          [42, 41] by commutator ?41 ?42
17640: Goal:
17640:  Id :   1, {_}:
          associator (add u v) x y
          =<=
          add (associator u x y) (associator v x y)
          [] by prove_linearised_form3
% SZS status Timeout for RNG021-6.p
17670: Facts:
17670:  Id :   2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
17670:  Id :   3, {_}:
          add ?4 additive_identity =>= ?4
          [4] by right_additive_identity ?4
17670:  Id :   4, {_}:
          multiply additive_identity ?6 =>= additive_identity
          [6] by left_multiplicative_zero ?6
17670:  Id :   5, {_}:
          multiply ?8 additive_identity =>= additive_identity
          [8] by right_multiplicative_zero ?8
17670:  Id :   6, {_}:
          add (additive_inverse ?10) ?10 =>= additive_identity
          [10] by left_additive_inverse ?10
17670:  Id :   7, {_}:
          add ?12 (additive_inverse ?12) =>= additive_identity
          [12] by right_additive_inverse ?12
17670:  Id :   8, {_}:
          additive_inverse (additive_inverse ?14) =>= ?14
          [14] by additive_inverse_additive_inverse ?14
17670:  Id :   9, {_}:
          multiply ?16 (add ?17 ?18)
          =<=
          add (multiply ?16 ?17) (multiply ?16 ?18)
          [18, 17, 16] by distribute1 ?16 ?17 ?18
17670:  Id :  10, {_}:
          multiply (add ?20 ?21) ?22
          =<=
          add (multiply ?20 ?22) (multiply ?21 ?22)
          [22, 21, 20] by distribute2 ?20 ?21 ?22
17670:  Id :  11, {_}:
          add ?24 ?25 =<->= add ?25 ?24
          [25, 24] by commutativity_for_addition ?24 ?25
17670:  Id :  12, {_}:
          add ?27 (add ?28 ?29) =?= add (add ?27 ?28) ?29
          [29, 28, 27] by associativity_for_addition ?27 ?28 ?29
17670:  Id :  13, {_}:
          multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
          [32, 31] by right_alternative ?31 ?32
17670:  Id :  14, {_}:
          multiply (multiply ?34 ?34) ?35 =?= multiply ?34 (multiply ?34 ?35)
          [35, 34] by left_alternative ?34 ?35
17670:  Id :  15, {_}:
          associator ?37 ?38 ?39
          =<=
          add (multiply (multiply ?37 ?38) ?39)
            (additive_inverse (multiply ?37 (multiply ?38 ?39)))
          [39, 38, 37] by associator ?37 ?38 ?39
17670:  Id :  16, {_}:
          commutator ?41 ?42
          =<=
          add (multiply ?42 ?41) (additive_inverse (multiply ?41 ?42))
          [42, 41] by commutator ?41 ?42
17670:  Id :  17, {_}:
          multiply (additive_inverse ?44) (additive_inverse ?45)
          =>=
          multiply ?44 ?45
          [45, 44] by product_of_inverses ?44 ?45
17670:  Id :  18, {_}:
          multiply (additive_inverse ?47) ?48
          =>=
          additive_inverse (multiply ?47 ?48)
          [48, 47] by inverse_product1 ?47 ?48
17670:  Id :  19, {_}:
          multiply ?50 (additive_inverse ?51)
          =>=
          additive_inverse (multiply ?50 ?51)
          [51, 50] by inverse_product2 ?50 ?51
17670:  Id :  20, {_}:
          multiply ?53 (add ?54 (additive_inverse ?55))
          =<=
          add (multiply ?53 ?54) (additive_inverse (multiply ?53 ?55))
          [55, 54, 53] by distributivity_of_difference1 ?53 ?54 ?55
17670:  Id :  21, {_}:
          multiply (add ?57 (additive_inverse ?58)) ?59
          =<=
          add (multiply ?57 ?59) (additive_inverse (multiply ?58 ?59))
          [59, 58, 57] by distributivity_of_difference2 ?57 ?58 ?59
17670:  Id :  22, {_}:
          multiply (additive_inverse ?61) (add ?62 ?63)
          =<=
          add (additive_inverse (multiply ?61 ?62))
            (additive_inverse (multiply ?61 ?63))
          [63, 62, 61] by distributivity_of_difference3 ?61 ?62 ?63
17670:  Id :  23, {_}:
          multiply (add ?65 ?66) (additive_inverse ?67)
          =<=
          add (additive_inverse (multiply ?65 ?67))
            (additive_inverse (multiply ?66 ?67))
          [67, 66, 65] by distributivity_of_difference4 ?65 ?66 ?67
17670: Goal:
17670:  Id :   1, {_}:
          associator (add u v) x y
          =<=
          add (associator u x y) (associator v x y)
          [] by prove_linearised_form3
% SZS status Timeout for RNG021-7.p
17693: Facts:
17693:  Id :   2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
17693:  Id :   3, {_}:
          add ?4 additive_identity =>= ?4
          [4] by right_additive_identity ?4
17693:  Id :   4, {_}:
          multiply additive_identity ?6 =>= additive_identity
          [6] by left_multiplicative_zero ?6
17693:  Id :   5, {_}:
          multiply ?8 additive_identity =>= additive_identity
          [8] by right_multiplicative_zero ?8
17693:  Id :   6, {_}:
          add (additive_inverse ?10) ?10 =>= additive_identity
          [10] by left_additive_inverse ?10
17693:  Id :   7, {_}:
          add ?12 (additive_inverse ?12) =>= additive_identity
          [12] by right_additive_inverse ?12
17693:  Id :   8, {_}:
          additive_inverse (additive_inverse ?14) =>= ?14
          [14] by additive_inverse_additive_inverse ?14
17693:  Id :   9, {_}:
          multiply ?16 (add ?17 ?18)
          =<=
          add (multiply ?16 ?17) (multiply ?16 ?18)
          [18, 17, 16] by distribute1 ?16 ?17 ?18
17693:  Id :  10, {_}:
          multiply (add ?20 ?21) ?22
          =<=
          add (multiply ?20 ?22) (multiply ?21 ?22)
          [22, 21, 20] by distribute2 ?20 ?21 ?22
17693:  Id :  11, {_}:
          add ?24 ?25 =<->= add ?25 ?24
          [25, 24] by commutativity_for_addition ?24 ?25
17693:  Id :  12, {_}:
          add ?27 (add ?28 ?29) =?= add (add ?27 ?28) ?29
          [29, 28, 27] by associativity_for_addition ?27 ?28 ?29
17693:  Id :  13, {_}:
          multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
          [32, 31] by right_alternative ?31 ?32
17693:  Id :  14, {_}:
          multiply (multiply ?34 ?34) ?35 =?= multiply ?34 (multiply ?34 ?35)
          [35, 34] by left_alternative ?34 ?35
17693:  Id :  15, {_}:
          associator ?37 ?38 ?39
          =<=
          add (multiply (multiply ?37 ?38) ?39)
            (additive_inverse (multiply ?37 (multiply ?38 ?39)))
          [39, 38, 37] by associator ?37 ?38 ?39
17693:  Id :  16, {_}:
          commutator ?41 ?42
          =<=
          add (multiply ?42 ?41) (additive_inverse (multiply ?41 ?42))
          [42, 41] by commutator ?41 ?42
17693: Goal:
17693:  Id :   1, {_}:
          add (associator x y z) (associator x z y) =>= additive_identity
          [] by prove_equation
% SZS status Timeout for RNG025-4.p
17723: Facts:
17723:  Id :   2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
17723:  Id :   3, {_}:
          add ?4 additive_identity =>= ?4
          [4] by right_additive_identity ?4
17723:  Id :   4, {_}:
          multiply additive_identity ?6 =>= additive_identity
          [6] by left_multiplicative_zero ?6
17723:  Id :   5, {_}:
          multiply ?8 additive_identity =>= additive_identity
          [8] by right_multiplicative_zero ?8
17723:  Id :   6, {_}:
          add (additive_inverse ?10) ?10 =>= additive_identity
          [10] by left_additive_inverse ?10
17723:  Id :   7, {_}:
          add ?12 (additive_inverse ?12) =>= additive_identity
          [12] by right_additive_inverse ?12
17723:  Id :   8, {_}:
          additive_inverse (additive_inverse ?14) =>= ?14
          [14] by additive_inverse_additive_inverse ?14
17723:  Id :   9, {_}:
          multiply ?16 (add ?17 ?18)
          =<=
          add (multiply ?16 ?17) (multiply ?16 ?18)
          [18, 17, 16] by distribute1 ?16 ?17 ?18
17723:  Id :  10, {_}:
          multiply (add ?20 ?21) ?22
          =<=
          add (multiply ?20 ?22) (multiply ?21 ?22)
          [22, 21, 20] by distribute2 ?20 ?21 ?22
17723:  Id :  11, {_}:
          add ?24 ?25 =<->= add ?25 ?24
          [25, 24] by commutativity_for_addition ?24 ?25
17723:  Id :  12, {_}:
          add ?27 (add ?28 ?29) =?= add (add ?27 ?28) ?29
          [29, 28, 27] by associativity_for_addition ?27 ?28 ?29
17723:  Id :  13, {_}:
          multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
          [32, 31] by right_alternative ?31 ?32
17723:  Id :  14, {_}:
          multiply (multiply ?34 ?34) ?35 =?= multiply ?34 (multiply ?34 ?35)
          [35, 34] by left_alternative ?34 ?35
17723:  Id :  15, {_}:
          associator ?37 ?38 ?39
          =<=
          add (multiply (multiply ?37 ?38) ?39)
            (additive_inverse (multiply ?37 (multiply ?38 ?39)))
          [39, 38, 37] by associator ?37 ?38 ?39
17723:  Id :  16, {_}:
          commutator ?41 ?42
          =<=
          add (multiply ?42 ?41) (additive_inverse (multiply ?41 ?42))
          [42, 41] by commutator ?41 ?42
17723:  Id :  17, {_}:
          multiply (additive_inverse ?44) (additive_inverse ?45)
          =>=
          multiply ?44 ?45
          [45, 44] by product_of_inverses ?44 ?45
17723:  Id :  18, {_}:
          multiply (additive_inverse ?47) ?48
          =>=
          additive_inverse (multiply ?47 ?48)
          [48, 47] by inverse_product1 ?47 ?48
17723:  Id :  19, {_}:
          multiply ?50 (additive_inverse ?51)
          =>=
          additive_inverse (multiply ?50 ?51)
          [51, 50] by inverse_product2 ?50 ?51
17723:  Id :  20, {_}:
          multiply ?53 (add ?54 (additive_inverse ?55))
          =<=
          add (multiply ?53 ?54) (additive_inverse (multiply ?53 ?55))
          [55, 54, 53] by distributivity_of_difference1 ?53 ?54 ?55
17723:  Id :  21, {_}:
          multiply (add ?57 (additive_inverse ?58)) ?59
          =<=
          add (multiply ?57 ?59) (additive_inverse (multiply ?58 ?59))
          [59, 58, 57] by distributivity_of_difference2 ?57 ?58 ?59
17723:  Id :  22, {_}:
          multiply (additive_inverse ?61) (add ?62 ?63)
          =<=
          add (additive_inverse (multiply ?61 ?62))
            (additive_inverse (multiply ?61 ?63))
          [63, 62, 61] by distributivity_of_difference3 ?61 ?62 ?63
17723:  Id :  23, {_}:
          multiply (add ?65 ?66) (additive_inverse ?67)
          =<=
          add (additive_inverse (multiply ?65 ?67))
            (additive_inverse (multiply ?66 ?67))
          [67, 66, 65] by distributivity_of_difference4 ?65 ?66 ?67
17723: Goal:
17723:  Id :   1, {_}:
          add (associator x y z) (associator x z y) =>= additive_identity
          [] by prove_equation
% SZS status Timeout for RNG025-5.p
17787: Facts:
17787:  Id :   2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
17787:  Id :   3, {_}:
          add ?4 additive_identity =>= ?4
          [4] by right_additive_identity ?4
17787:  Id :   4, {_}:
          multiply additive_identity ?6 =>= additive_identity
          [6] by left_multiplicative_zero ?6
17787:  Id :   5, {_}:
          multiply ?8 additive_identity =>= additive_identity
          [8] by right_multiplicative_zero ?8
17787:  Id :   6, {_}:
          add (additive_inverse ?10) ?10 =>= additive_identity
          [10] by left_additive_inverse ?10
17787:  Id :   7, {_}:
          add ?12 (additive_inverse ?12) =>= additive_identity
          [12] by right_additive_inverse ?12
17787:  Id :   8, {_}:
          additive_inverse (additive_inverse ?14) =>= ?14
          [14] by additive_inverse_additive_inverse ?14
17787:  Id :   9, {_}:
          multiply ?16 (add ?17 ?18)
          =<=
          add (multiply ?16 ?17) (multiply ?16 ?18)
          [18, 17, 16] by distribute1 ?16 ?17 ?18
17787:  Id :  10, {_}:
          multiply (add ?20 ?21) ?22
          =<=
          add (multiply ?20 ?22) (multiply ?21 ?22)
          [22, 21, 20] by distribute2 ?20 ?21 ?22
17787:  Id :  11, {_}:
          add ?24 ?25 =<->= add ?25 ?24
          [25, 24] by commutativity_for_addition ?24 ?25
17787:  Id :  12, {_}:
          add ?27 (add ?28 ?29) =?= add (add ?27 ?28) ?29
          [29, 28, 27] by associativity_for_addition ?27 ?28 ?29
17787:  Id :  13, {_}:
          multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
          [32, 31] by right_alternative ?31 ?32
17787:  Id :  14, {_}:
          multiply (multiply ?34 ?34) ?35 =?= multiply ?34 (multiply ?34 ?35)
          [35, 34] by left_alternative ?34 ?35
17787:  Id :  15, {_}:
          associator ?37 ?38 ?39
          =<=
          add (multiply (multiply ?37 ?38) ?39)
            (additive_inverse (multiply ?37 (multiply ?38 ?39)))
          [39, 38, 37] by associator ?37 ?38 ?39
17787:  Id :  16, {_}:
          commutator ?41 ?42
          =<=
          add (multiply ?42 ?41) (additive_inverse (multiply ?41 ?42))
          [42, 41] by commutator ?41 ?42
17787: Goal:
17787:  Id :   1, {_}: associator x y x =>= additive_identity [] by prove_flexible_law
% SZS status Timeout for RNG025-6.p
17817: Facts:
17817:  Id :   2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
17817:  Id :   3, {_}:
          add ?4 additive_identity =>= ?4
          [4] by right_additive_identity ?4
17817:  Id :   4, {_}:
          multiply additive_identity ?6 =>= additive_identity
          [6] by left_multiplicative_zero ?6
17817:  Id :   5, {_}:
          multiply ?8 additive_identity =>= additive_identity
          [8] by right_multiplicative_zero ?8
17817:  Id :   6, {_}:
          add (additive_inverse ?10) ?10 =>= additive_identity
          [10] by left_additive_inverse ?10
17817:  Id :   7, {_}:
          add ?12 (additive_inverse ?12) =>= additive_identity
          [12] by right_additive_inverse ?12
17817:  Id :   8, {_}:
          additive_inverse (additive_inverse ?14) =>= ?14
          [14] by additive_inverse_additive_inverse ?14
17817:  Id :   9, {_}:
          multiply ?16 (add ?17 ?18)
          =<=
          add (multiply ?16 ?17) (multiply ?16 ?18)
          [18, 17, 16] by distribute1 ?16 ?17 ?18
17817:  Id :  10, {_}:
          multiply (add ?20 ?21) ?22
          =<=
          add (multiply ?20 ?22) (multiply ?21 ?22)
          [22, 21, 20] by distribute2 ?20 ?21 ?22
17817:  Id :  11, {_}:
          add ?24 ?25 =<->= add ?25 ?24
          [25, 24] by commutativity_for_addition ?24 ?25
17817:  Id :  12, {_}:
          add ?27 (add ?28 ?29) =?= add (add ?27 ?28) ?29
          [29, 28, 27] by associativity_for_addition ?27 ?28 ?29
17817:  Id :  13, {_}:
          multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
          [32, 31] by right_alternative ?31 ?32
17817:  Id :  14, {_}:
          multiply (multiply ?34 ?34) ?35 =?= multiply ?34 (multiply ?34 ?35)
          [35, 34] by left_alternative ?34 ?35
17817:  Id :  15, {_}:
          associator ?37 ?38 ?39
          =<=
          add (multiply (multiply ?37 ?38) ?39)
            (additive_inverse (multiply ?37 (multiply ?38 ?39)))
          [39, 38, 37] by associator ?37 ?38 ?39
17817:  Id :  16, {_}:
          commutator ?41 ?42
          =<=
          add (multiply ?42 ?41) (additive_inverse (multiply ?41 ?42))
          [42, 41] by commutator ?41 ?42
17817:  Id :  17, {_}:
          multiply (additive_inverse ?44) (additive_inverse ?45)
          =>=
          multiply ?44 ?45
          [45, 44] by product_of_inverses ?44 ?45
17817:  Id :  18, {_}:
          multiply (additive_inverse ?47) ?48
          =>=
          additive_inverse (multiply ?47 ?48)
          [48, 47] by inverse_product1 ?47 ?48
17817:  Id :  19, {_}:
          multiply ?50 (additive_inverse ?51)
          =>=
          additive_inverse (multiply ?50 ?51)
          [51, 50] by inverse_product2 ?50 ?51
17817:  Id :  20, {_}:
          multiply ?53 (add ?54 (additive_inverse ?55))
          =<=
          add (multiply ?53 ?54) (additive_inverse (multiply ?53 ?55))
          [55, 54, 53] by distributivity_of_difference1 ?53 ?54 ?55
17817:  Id :  21, {_}:
          multiply (add ?57 (additive_inverse ?58)) ?59
          =<=
          add (multiply ?57 ?59) (additive_inverse (multiply ?58 ?59))
          [59, 58, 57] by distributivity_of_difference2 ?57 ?58 ?59
17817:  Id :  22, {_}:
          multiply (additive_inverse ?61) (add ?62 ?63)
          =<=
          add (additive_inverse (multiply ?61 ?62))
            (additive_inverse (multiply ?61 ?63))
          [63, 62, 61] by distributivity_of_difference3 ?61 ?62 ?63
17817:  Id :  23, {_}:
          multiply (add ?65 ?66) (additive_inverse ?67)
          =<=
          add (additive_inverse (multiply ?65 ?67))
            (additive_inverse (multiply ?66 ?67))
          [67, 66, 65] by distributivity_of_difference4 ?65 ?66 ?67
17817: Goal:
17817:  Id :   1, {_}: associator x y x =>= additive_identity [] by prove_flexible_law
% SZS status Timeout for RNG025-7.p
17837: Facts:
17837:  Id :   2, {_}:
          add ?2 ?3 =<->= add ?3 ?2
          [3, 2] by commutativity_for_addition ?2 ?3
17837:  Id :   3, {_}:
          add ?5 (add ?6 ?7) =?= add (add ?5 ?6) ?7
          [7, 6, 5] by associativity_for_addition ?5 ?6 ?7
17837:  Id :   4, {_}: add additive_identity ?9 =>= ?9 [9] by left_additive_identity ?9
17837:  Id :   5, {_}:
          add ?11 additive_identity =>= ?11
          [11] by right_additive_identity ?11
17837:  Id :   6, {_}:
          multiply additive_identity ?13 =>= additive_identity
          [13] by left_multiplicative_zero ?13
17837:  Id :   7, {_}:
          multiply ?15 additive_identity =>= additive_identity
          [15] by right_multiplicative_zero ?15
17837:  Id :   8, {_}:
          add (additive_inverse ?17) ?17 =>= additive_identity
          [17] by left_additive_inverse ?17
17837:  Id :   9, {_}:
          add ?19 (additive_inverse ?19) =>= additive_identity
          [19] by right_additive_inverse ?19
17837:  Id :  10, {_}:
          multiply ?21 (add ?22 ?23)
          =<=
          add (multiply ?21 ?22) (multiply ?21 ?23)
          [23, 22, 21] by distribute1 ?21 ?22 ?23
17837:  Id :  11, {_}:
          multiply (add ?25 ?26) ?27
          =<=
          add (multiply ?25 ?27) (multiply ?26 ?27)
          [27, 26, 25] by distribute2 ?25 ?26 ?27
17837:  Id :  12, {_}:
          additive_inverse (additive_inverse ?29) =>= ?29
          [29] by additive_inverse_additive_inverse ?29
17837:  Id :  13, {_}:
          multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
          [32, 31] by right_alternative ?31 ?32
17837:  Id :  14, {_}:
          multiply (multiply ?34 ?34) ?35 =?= multiply ?34 (multiply ?34 ?35)
          [35, 34] by left_alternative ?34 ?35
17837:  Id :  15, {_}:
          associator ?37 ?38 (add ?39 ?40)
          =<=
          add (associator ?37 ?38 ?39) (associator ?37 ?38 ?40)
          [40, 39, 38, 37] by linearised_associator1 ?37 ?38 ?39 ?40
17837:  Id :  16, {_}:
          associator ?42 (add ?43 ?44) ?45
          =<=
          add (associator ?42 ?43 ?45) (associator ?42 ?44 ?45)
          [45, 44, 43, 42] by linearised_associator2 ?42 ?43 ?44 ?45
17837:  Id :  17, {_}:
          associator (add ?47 ?48) ?49 ?50
          =<=
          add (associator ?47 ?49 ?50) (associator ?48 ?49 ?50)
          [50, 49, 48, 47] by linearised_associator3 ?47 ?48 ?49 ?50
17837:  Id :  18, {_}:
          commutator ?52 ?53
          =<=
          add (multiply ?53 ?52) (additive_inverse (multiply ?52 ?53))
          [53, 52] by commutator ?52 ?53
17837: Goal:
17837:  Id :   1, {_}:
          add (associator a b c) (associator a c b) =>= additive_identity
          [] by prove_flexible_law
% SZS status Timeout for RNG025-8.p
17867: Facts:
17867:  Id :   2, {_}:
          multiply (additive_inverse ?2) (additive_inverse ?3)
          =>=
          multiply ?2 ?3
          [3, 2] by product_of_inverses ?2 ?3
17867:  Id :   3, {_}:
          multiply (additive_inverse ?5) ?6
          =>=
          additive_inverse (multiply ?5 ?6)
          [6, 5] by inverse_product1 ?5 ?6
17867:  Id :   4, {_}:
          multiply ?8 (additive_inverse ?9)
          =>=
          additive_inverse (multiply ?8 ?9)
          [9, 8] by inverse_product2 ?8 ?9
17867:  Id :   5, {_}:
          multiply ?11 (add ?12 (additive_inverse ?13))
          =<=
          add (multiply ?11 ?12) (additive_inverse (multiply ?11 ?13))
          [13, 12, 11] by distributivity_of_difference1 ?11 ?12 ?13
17867:  Id :   6, {_}:
          multiply (add ?15 (additive_inverse ?16)) ?17
          =<=
          add (multiply ?15 ?17) (additive_inverse (multiply ?16 ?17))
          [17, 16, 15] by distributivity_of_difference2 ?15 ?16 ?17
17867:  Id :   7, {_}:
          multiply (additive_inverse ?19) (add ?20 ?21)
          =<=
          add (additive_inverse (multiply ?19 ?20))
            (additive_inverse (multiply ?19 ?21))
          [21, 20, 19] by distributivity_of_difference3 ?19 ?20 ?21
17867:  Id :   8, {_}:
          multiply (add ?23 ?24) (additive_inverse ?25)
          =<=
          add (additive_inverse (multiply ?23 ?25))
            (additive_inverse (multiply ?24 ?25))
          [25, 24, 23] by distributivity_of_difference4 ?23 ?24 ?25
17867:  Id :   9, {_}:
          add ?27 ?28 =<->= add ?28 ?27
          [28, 27] by commutativity_for_addition ?27 ?28
17867:  Id :  10, {_}:
          add ?30 (add ?31 ?32) =?= add (add ?30 ?31) ?32
          [32, 31, 30] by associativity_for_addition ?30 ?31 ?32
17867:  Id :  11, {_}:
          add additive_identity ?34 =>= ?34
          [34] by left_additive_identity ?34
17867:  Id :  12, {_}:
          add ?36 additive_identity =>= ?36
          [36] by right_additive_identity ?36
17867:  Id :  13, {_}:
          multiply additive_identity ?38 =>= additive_identity
          [38] by left_multiplicative_zero ?38
17867:  Id :  14, {_}:
          multiply ?40 additive_identity =>= additive_identity
          [40] by right_multiplicative_zero ?40
17867:  Id :  15, {_}:
          add (additive_inverse ?42) ?42 =>= additive_identity
          [42] by left_additive_inverse ?42
17867:  Id :  16, {_}:
          add ?44 (additive_inverse ?44) =>= additive_identity
          [44] by right_additive_inverse ?44
17867:  Id :  17, {_}:
          multiply ?46 (add ?47 ?48)
          =<=
          add (multiply ?46 ?47) (multiply ?46 ?48)
          [48, 47, 46] by distribute1 ?46 ?47 ?48
17867:  Id :  18, {_}:
          multiply (add ?50 ?51) ?52
          =<=
          add (multiply ?50 ?52) (multiply ?51 ?52)
          [52, 51, 50] by distribute2 ?50 ?51 ?52
17867:  Id :  19, {_}:
          additive_inverse (additive_inverse ?54) =>= ?54
          [54] by additive_inverse_additive_inverse ?54
17867:  Id :  20, {_}:
          multiply (multiply ?56 ?57) ?57 =?= multiply ?56 (multiply ?57 ?57)
          [57, 56] by right_alternative ?56 ?57
17867:  Id :  21, {_}:
          multiply (multiply ?59 ?59) ?60 =?= multiply ?59 (multiply ?59 ?60)
          [60, 59] by left_alternative ?59 ?60
17867:  Id :  22, {_}:
          associator ?62 ?63 (add ?64 ?65)
          =<=
          add (associator ?62 ?63 ?64) (associator ?62 ?63 ?65)
          [65, 64, 63, 62] by linearised_associator1 ?62 ?63 ?64 ?65
17867:  Id :  23, {_}:
          associator ?67 (add ?68 ?69) ?70
          =<=
          add (associator ?67 ?68 ?70) (associator ?67 ?69 ?70)
          [70, 69, 68, 67] by linearised_associator2 ?67 ?68 ?69 ?70
17867:  Id :  24, {_}:
          associator (add ?72 ?73) ?74 ?75
          =<=
          add (associator ?72 ?74 ?75) (associator ?73 ?74 ?75)
          [75, 74, 73, 72] by linearised_associator3 ?72 ?73 ?74 ?75
17867:  Id :  25, {_}:
          commutator ?77 ?78
          =<=
          add (multiply ?78 ?77) (additive_inverse (multiply ?77 ?78))
          [78, 77] by commutator ?77 ?78
17867: Goal:
17867:  Id :   1, {_}:
          add (associator a b c) (associator a c b) =>= additive_identity
          [] by prove_flexible_law
% SZS status Timeout for RNG025-9.p
17887: Facts:
17887:  Id :   2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
17887:  Id :   3, {_}:
          add ?4 additive_identity =>= ?4
          [4] by right_additive_identity ?4
17887:  Id :   4, {_}:
          multiply additive_identity ?6 =>= additive_identity
          [6] by left_multiplicative_zero ?6
17887:  Id :   5, {_}:
          multiply ?8 additive_identity =>= additive_identity
          [8] by right_multiplicative_zero ?8
17887:  Id :   6, {_}:
          add (additive_inverse ?10) ?10 =>= additive_identity
          [10] by left_additive_inverse ?10
17887:  Id :   7, {_}:
          add ?12 (additive_inverse ?12) =>= additive_identity
          [12] by right_additive_inverse ?12
17887:  Id :   8, {_}:
          additive_inverse (additive_inverse ?14) =>= ?14
          [14] by additive_inverse_additive_inverse ?14
17887:  Id :   9, {_}:
          multiply ?16 (add ?17 ?18)
          =<=
          add (multiply ?16 ?17) (multiply ?16 ?18)
          [18, 17, 16] by distribute1 ?16 ?17 ?18
17887:  Id :  10, {_}:
          multiply (add ?20 ?21) ?22
          =<=
          add (multiply ?20 ?22) (multiply ?21 ?22)
          [22, 21, 20] by distribute2 ?20 ?21 ?22
17887:  Id :  11, {_}:
          add ?24 ?25 =<->= add ?25 ?24
          [25, 24] by commutativity_for_addition ?24 ?25
17887:  Id :  12, {_}:
          add ?27 (add ?28 ?29) =?= add (add ?27 ?28) ?29
          [29, 28, 27] by associativity_for_addition ?27 ?28 ?29
17887:  Id :  13, {_}:
          multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
          [32, 31] by right_alternative ?31 ?32
17887:  Id :  14, {_}:
          multiply (multiply ?34 ?34) ?35 =?= multiply ?34 (multiply ?34 ?35)
          [35, 34] by left_alternative ?34 ?35
17887:  Id :  15, {_}:
          associator ?37 ?38 ?39
          =<=
          add (multiply (multiply ?37 ?38) ?39)
            (additive_inverse (multiply ?37 (multiply ?38 ?39)))
          [39, 38, 37] by associator ?37 ?38 ?39
17887:  Id :  16, {_}:
          commutator ?41 ?42
          =<=
          add (multiply ?42 ?41) (additive_inverse (multiply ?41 ?42))
          [42, 41] by commutator ?41 ?42
17887: Goal:
17887:  Id :   1, {_}:
          add
            (add (associator (multiply a b) c d)
              (associator a b (multiply c d)))
            (additive_inverse
              (add
                (add (associator a (multiply b c) d)
                  (multiply a (associator b c d)))
                (multiply (associator a b c) d)))
          =>=
          additive_identity
          [] by prove_teichmuller_identity
% SZS status Timeout for RNG026-6.p
17917: Facts:
17917:  Id :   2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
17917:  Id :   3, {_}:
          add ?4 additive_identity =>= ?4
          [4] by right_additive_identity ?4
17917:  Id :   4, {_}:
          multiply additive_identity ?6 =>= additive_identity
          [6] by left_multiplicative_zero ?6
17917:  Id :   5, {_}:
          multiply ?8 additive_identity =>= additive_identity
          [8] by right_multiplicative_zero ?8
17917:  Id :   6, {_}:
          add (additive_inverse ?10) ?10 =>= additive_identity
          [10] by left_additive_inverse ?10
17917:  Id :   7, {_}:
          add ?12 (additive_inverse ?12) =>= additive_identity
          [12] by right_additive_inverse ?12
17917:  Id :   8, {_}:
          additive_inverse (additive_inverse ?14) =>= ?14
          [14] by additive_inverse_additive_inverse ?14
17917:  Id :   9, {_}:
          multiply ?16 (add ?17 ?18)
          =<=
          add (multiply ?16 ?17) (multiply ?16 ?18)
          [18, 17, 16] by distribute1 ?16 ?17 ?18
17917:  Id :  10, {_}:
          multiply (add ?20 ?21) ?22
          =<=
          add (multiply ?20 ?22) (multiply ?21 ?22)
          [22, 21, 20] by distribute2 ?20 ?21 ?22
17917:  Id :  11, {_}:
          add ?24 ?25 =<->= add ?25 ?24
          [25, 24] by commutativity_for_addition ?24 ?25
17917:  Id :  12, {_}:
          add ?27 (add ?28 ?29) =?= add (add ?27 ?28) ?29
          [29, 28, 27] by associativity_for_addition ?27 ?28 ?29
17917:  Id :  13, {_}:
          multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
          [32, 31] by right_alternative ?31 ?32
17917:  Id :  14, {_}:
          multiply (multiply ?34 ?34) ?35 =?= multiply ?34 (multiply ?34 ?35)
          [35, 34] by left_alternative ?34 ?35
17917:  Id :  15, {_}:
          associator ?37 ?38 ?39
          =<=
          add (multiply (multiply ?37 ?38) ?39)
            (additive_inverse (multiply ?37 (multiply ?38 ?39)))
          [39, 38, 37] by associator ?37 ?38 ?39
17917:  Id :  16, {_}:
          commutator ?41 ?42
          =<=
          add (multiply ?42 ?41) (additive_inverse (multiply ?41 ?42))
          [42, 41] by commutator ?41 ?42
17917:  Id :  17, {_}:
          multiply (additive_inverse ?44) (additive_inverse ?45)
          =>=
          multiply ?44 ?45
          [45, 44] by product_of_inverses ?44 ?45
17917:  Id :  18, {_}:
          multiply (additive_inverse ?47) ?48
          =>=
          additive_inverse (multiply ?47 ?48)
          [48, 47] by inverse_product1 ?47 ?48
17917:  Id :  19, {_}:
          multiply ?50 (additive_inverse ?51)
          =>=
          additive_inverse (multiply ?50 ?51)
          [51, 50] by inverse_product2 ?50 ?51
17917:  Id :  20, {_}:
          multiply ?53 (add ?54 (additive_inverse ?55))
          =<=
          add (multiply ?53 ?54) (additive_inverse (multiply ?53 ?55))
          [55, 54, 53] by distributivity_of_difference1 ?53 ?54 ?55
17917:  Id :  21, {_}:
          multiply (add ?57 (additive_inverse ?58)) ?59
          =<=
          add (multiply ?57 ?59) (additive_inverse (multiply ?58 ?59))
          [59, 58, 57] by distributivity_of_difference2 ?57 ?58 ?59
17917:  Id :  22, {_}:
          multiply (additive_inverse ?61) (add ?62 ?63)
          =<=
          add (additive_inverse (multiply ?61 ?62))
            (additive_inverse (multiply ?61 ?63))
          [63, 62, 61] by distributivity_of_difference3 ?61 ?62 ?63
17917:  Id :  23, {_}:
          multiply (add ?65 ?66) (additive_inverse ?67)
          =<=
          add (additive_inverse (multiply ?65 ?67))
            (additive_inverse (multiply ?66 ?67))
          [67, 66, 65] by distributivity_of_difference4 ?65 ?66 ?67
17917: Goal:
17917:  Id :   1, {_}:
          add
            (add (associator (multiply a b) c d)
              (associator a b (multiply c d)))
            (additive_inverse
              (add
                (add (associator a (multiply b c) d)
                  (multiply a (associator b c d)))
                (multiply (associator a b c) d)))
          =>=
          additive_identity
          [] by prove_teichmuller_identity
% SZS status Timeout for RNG026-7.p
17937: Facts:
17937:  Id :   2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
17937:  Id :   3, {_}:
          add ?4 additive_identity =>= ?4
          [4] by right_additive_identity ?4
17937:  Id :   4, {_}:
          multiply additive_identity ?6 =>= additive_identity
          [6] by left_multiplicative_zero ?6
17937:  Id :   5, {_}:
          multiply ?8 additive_identity =>= additive_identity
          [8] by right_multiplicative_zero ?8
17937:  Id :   6, {_}:
          add (additive_inverse ?10) ?10 =>= additive_identity
          [10] by left_additive_inverse ?10
17937:  Id :   7, {_}:
          add ?12 (additive_inverse ?12) =>= additive_identity
          [12] by right_additive_inverse ?12
17937:  Id :   8, {_}:
          additive_inverse (additive_inverse ?14) =>= ?14
          [14] by additive_inverse_additive_inverse ?14
17937:  Id :   9, {_}:
          multiply ?16 (add ?17 ?18)
          =<=
          add (multiply ?16 ?17) (multiply ?16 ?18)
          [18, 17, 16] by distribute1 ?16 ?17 ?18
17937:  Id :  10, {_}:
          multiply (add ?20 ?21) ?22
          =<=
          add (multiply ?20 ?22) (multiply ?21 ?22)
          [22, 21, 20] by distribute2 ?20 ?21 ?22
17937:  Id :  11, {_}:
          add ?24 ?25 =<->= add ?25 ?24
          [25, 24] by commutativity_for_addition ?24 ?25
17937:  Id :  12, {_}:
          add ?27 (add ?28 ?29) =?= add (add ?27 ?28) ?29
          [29, 28, 27] by associativity_for_addition ?27 ?28 ?29
17937:  Id :  13, {_}:
          multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
          [32, 31] by right_alternative ?31 ?32
17937:  Id :  14, {_}:
          multiply (multiply ?34 ?34) ?35 =?= multiply ?34 (multiply ?34 ?35)
          [35, 34] by left_alternative ?34 ?35
17937:  Id :  15, {_}:
          associator ?37 ?38 ?39
          =<=
          add (multiply (multiply ?37 ?38) ?39)
            (additive_inverse (multiply ?37 (multiply ?38 ?39)))
          [39, 38, 37] by associator ?37 ?38 ?39
17937:  Id :  16, {_}:
          commutator ?41 ?42
          =<=
          add (multiply ?42 ?41) (additive_inverse (multiply ?41 ?42))
          [42, 41] by commutator ?41 ?42
17937: Goal:
17937:  Id :   1, {_}:
          multiply cz (multiply cx (multiply cy cx))
          =<=
          multiply (multiply (multiply cz cx) cy) cx
          [] by prove_right_moufang
% SZS status Timeout for RNG027-5.p
17967: Facts:
17967:  Id :   2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
17967:  Id :   3, {_}:
          add ?4 additive_identity =>= ?4
          [4] by right_additive_identity ?4
17967:  Id :   4, {_}:
          multiply additive_identity ?6 =>= additive_identity
          [6] by left_multiplicative_zero ?6
17967:  Id :   5, {_}:
          multiply ?8 additive_identity =>= additive_identity
          [8] by right_multiplicative_zero ?8
17967:  Id :   6, {_}:
          add (additive_inverse ?10) ?10 =>= additive_identity
          [10] by left_additive_inverse ?10
17967:  Id :   7, {_}:
          add ?12 (additive_inverse ?12) =>= additive_identity
          [12] by right_additive_inverse ?12
17967:  Id :   8, {_}:
          additive_inverse (additive_inverse ?14) =>= ?14
          [14] by additive_inverse_additive_inverse ?14
17967:  Id :   9, {_}:
          multiply ?16 (add ?17 ?18)
          =<=
          add (multiply ?16 ?17) (multiply ?16 ?18)
          [18, 17, 16] by distribute1 ?16 ?17 ?18
17967:  Id :  10, {_}:
          multiply (add ?20 ?21) ?22
          =<=
          add (multiply ?20 ?22) (multiply ?21 ?22)
          [22, 21, 20] by distribute2 ?20 ?21 ?22
17967:  Id :  11, {_}:
          add ?24 ?25 =<->= add ?25 ?24
          [25, 24] by commutativity_for_addition ?24 ?25
17967:  Id :  12, {_}:
          add ?27 (add ?28 ?29) =?= add (add ?27 ?28) ?29
          [29, 28, 27] by associativity_for_addition ?27 ?28 ?29
17967:  Id :  13, {_}:
          multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
          [32, 31] by right_alternative ?31 ?32
17967:  Id :  14, {_}:
          multiply (multiply ?34 ?34) ?35 =?= multiply ?34 (multiply ?34 ?35)
          [35, 34] by left_alternative ?34 ?35
17967:  Id :  15, {_}:
          associator ?37 ?38 ?39
          =<=
          add (multiply (multiply ?37 ?38) ?39)
            (additive_inverse (multiply ?37 (multiply ?38 ?39)))
          [39, 38, 37] by associator ?37 ?38 ?39
17967:  Id :  16, {_}:
          commutator ?41 ?42
          =<=
          add (multiply ?42 ?41) (additive_inverse (multiply ?41 ?42))
          [42, 41] by commutator ?41 ?42
17967:  Id :  17, {_}:
          multiply (additive_inverse ?44) (additive_inverse ?45)
          =>=
          multiply ?44 ?45
          [45, 44] by product_of_inverses ?44 ?45
17967:  Id :  18, {_}:
          multiply (additive_inverse ?47) ?48
          =>=
          additive_inverse (multiply ?47 ?48)
          [48, 47] by inverse_product1 ?47 ?48
17967:  Id :  19, {_}:
          multiply ?50 (additive_inverse ?51)
          =>=
          additive_inverse (multiply ?50 ?51)
          [51, 50] by inverse_product2 ?50 ?51
17967:  Id :  20, {_}:
          multiply ?53 (add ?54 (additive_inverse ?55))
          =<=
          add (multiply ?53 ?54) (additive_inverse (multiply ?53 ?55))
          [55, 54, 53] by distributivity_of_difference1 ?53 ?54 ?55
17967:  Id :  21, {_}:
          multiply (add ?57 (additive_inverse ?58)) ?59
          =<=
          add (multiply ?57 ?59) (additive_inverse (multiply ?58 ?59))
          [59, 58, 57] by distributivity_of_difference2 ?57 ?58 ?59
17967:  Id :  22, {_}:
          multiply (additive_inverse ?61) (add ?62 ?63)
          =<=
          add (additive_inverse (multiply ?61 ?62))
            (additive_inverse (multiply ?61 ?63))
          [63, 62, 61] by distributivity_of_difference3 ?61 ?62 ?63
17967:  Id :  23, {_}:
          multiply (add ?65 ?66) (additive_inverse ?67)
          =<=
          add (additive_inverse (multiply ?65 ?67))
            (additive_inverse (multiply ?66 ?67))
          [67, 66, 65] by distributivity_of_difference4 ?65 ?66 ?67
17967: Goal:
17967:  Id :   1, {_}:
          multiply cz (multiply cx (multiply cy cx))
          =<=
          multiply (multiply (multiply cz cx) cy) cx
          [] by prove_right_moufang
% SZS status Timeout for RNG027-7.p
17991: Facts:
17991:  Id :   2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
17991:  Id :   3, {_}:
          add ?4 additive_identity =>= ?4
          [4] by right_additive_identity ?4
17991:  Id :   4, {_}:
          multiply additive_identity ?6 =>= additive_identity
          [6] by left_multiplicative_zero ?6
17991:  Id :   5, {_}:
          multiply ?8 additive_identity =>= additive_identity
          [8] by right_multiplicative_zero ?8
17991:  Id :   6, {_}:
          add (additive_inverse ?10) ?10 =>= additive_identity
          [10] by left_additive_inverse ?10
17991:  Id :   7, {_}:
          add ?12 (additive_inverse ?12) =>= additive_identity
          [12] by right_additive_inverse ?12
17991:  Id :   8, {_}:
          additive_inverse (additive_inverse ?14) =>= ?14
          [14] by additive_inverse_additive_inverse ?14
17991:  Id :   9, {_}:
          multiply ?16 (add ?17 ?18)
          =<=
          add (multiply ?16 ?17) (multiply ?16 ?18)
          [18, 17, 16] by distribute1 ?16 ?17 ?18
17991:  Id :  10, {_}:
          multiply (add ?20 ?21) ?22
          =<=
          add (multiply ?20 ?22) (multiply ?21 ?22)
          [22, 21, 20] by distribute2 ?20 ?21 ?22
17991:  Id :  11, {_}:
          add ?24 ?25 =<->= add ?25 ?24
          [25, 24] by commutativity_for_addition ?24 ?25
17991:  Id :  12, {_}:
          add ?27 (add ?28 ?29) =?= add (add ?27 ?28) ?29
          [29, 28, 27] by associativity_for_addition ?27 ?28 ?29
17991:  Id :  13, {_}:
          multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
          [32, 31] by right_alternative ?31 ?32
17991:  Id :  14, {_}:
          multiply (multiply ?34 ?34) ?35 =?= multiply ?34 (multiply ?34 ?35)
          [35, 34] by left_alternative ?34 ?35
17991:  Id :  15, {_}:
          associator ?37 ?38 ?39
          =<=
          add (multiply (multiply ?37 ?38) ?39)
            (additive_inverse (multiply ?37 (multiply ?38 ?39)))
          [39, 38, 37] by associator ?37 ?38 ?39
17991:  Id :  16, {_}:
          commutator ?41 ?42
          =<=
          add (multiply ?42 ?41) (additive_inverse (multiply ?41 ?42))
          [42, 41] by commutator ?41 ?42
17991: Goal:
17991:  Id :   1, {_}:
          associator x (multiply x y) z =>= multiply (associator x y z) x
          [] by prove_right_moufang
% SZS status Timeout for RNG027-8.p
18041: Facts:
18041:  Id :   2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
18041:  Id :   3, {_}:
          add ?4 additive_identity =>= ?4
          [4] by right_additive_identity ?4
18041:  Id :   4, {_}:
          multiply additive_identity ?6 =>= additive_identity
          [6] by left_multiplicative_zero ?6
18041:  Id :   5, {_}:
          multiply ?8 additive_identity =>= additive_identity
          [8] by right_multiplicative_zero ?8
18041:  Id :   6, {_}:
          add (additive_inverse ?10) ?10 =>= additive_identity
          [10] by left_additive_inverse ?10
18041:  Id :   7, {_}:
          add ?12 (additive_inverse ?12) =>= additive_identity
          [12] by right_additive_inverse ?12
18041:  Id :   8, {_}:
          additive_inverse (additive_inverse ?14) =>= ?14
          [14] by additive_inverse_additive_inverse ?14
18041:  Id :   9, {_}:
          multiply ?16 (add ?17 ?18)
          =<=
          add (multiply ?16 ?17) (multiply ?16 ?18)
          [18, 17, 16] by distribute1 ?16 ?17 ?18
18041:  Id :  10, {_}:
          multiply (add ?20 ?21) ?22
          =<=
          add (multiply ?20 ?22) (multiply ?21 ?22)
          [22, 21, 20] by distribute2 ?20 ?21 ?22
18041:  Id :  11, {_}:
          add ?24 ?25 =<->= add ?25 ?24
          [25, 24] by commutativity_for_addition ?24 ?25
18041:  Id :  12, {_}:
          add ?27 (add ?28 ?29) =?= add (add ?27 ?28) ?29
          [29, 28, 27] by associativity_for_addition ?27 ?28 ?29
18041:  Id :  13, {_}:
          multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
          [32, 31] by right_alternative ?31 ?32
18041:  Id :  14, {_}:
          multiply (multiply ?34 ?34) ?35 =?= multiply ?34 (multiply ?34 ?35)
          [35, 34] by left_alternative ?34 ?35
18041:  Id :  15, {_}:
          associator ?37 ?38 ?39
          =<=
          add (multiply (multiply ?37 ?38) ?39)
            (additive_inverse (multiply ?37 (multiply ?38 ?39)))
          [39, 38, 37] by associator ?37 ?38 ?39
18041:  Id :  16, {_}:
          commutator ?41 ?42
          =<=
          add (multiply ?42 ?41) (additive_inverse (multiply ?41 ?42))
          [42, 41] by commutator ?41 ?42
18041:  Id :  17, {_}:
          multiply (additive_inverse ?44) (additive_inverse ?45)
          =>=
          multiply ?44 ?45
          [45, 44] by product_of_inverses ?44 ?45
18041:  Id :  18, {_}:
          multiply (additive_inverse ?47) ?48
          =>=
          additive_inverse (multiply ?47 ?48)
          [48, 47] by inverse_product1 ?47 ?48
18041:  Id :  19, {_}:
          multiply ?50 (additive_inverse ?51)
          =>=
          additive_inverse (multiply ?50 ?51)
          [51, 50] by inverse_product2 ?50 ?51
18041:  Id :  20, {_}:
          multiply ?53 (add ?54 (additive_inverse ?55))
          =<=
          add (multiply ?53 ?54) (additive_inverse (multiply ?53 ?55))
          [55, 54, 53] by distributivity_of_difference1 ?53 ?54 ?55
18041:  Id :  21, {_}:
          multiply (add ?57 (additive_inverse ?58)) ?59
          =<=
          add (multiply ?57 ?59) (additive_inverse (multiply ?58 ?59))
          [59, 58, 57] by distributivity_of_difference2 ?57 ?58 ?59
18041:  Id :  22, {_}:
          multiply (additive_inverse ?61) (add ?62 ?63)
          =<=
          add (additive_inverse (multiply ?61 ?62))
            (additive_inverse (multiply ?61 ?63))
          [63, 62, 61] by distributivity_of_difference3 ?61 ?62 ?63
18041:  Id :  23, {_}:
          multiply (add ?65 ?66) (additive_inverse ?67)
          =<=
          add (additive_inverse (multiply ?65 ?67))
            (additive_inverse (multiply ?66 ?67))
          [67, 66, 65] by distributivity_of_difference4 ?65 ?66 ?67
18041: Goal:
18041:  Id :   1, {_}:
          associator x (multiply x y) z =>= multiply (associator x y z) x
          [] by prove_right_moufang
% SZS status Timeout for RNG027-9.p
18060: Facts:
18060:  Id :   2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
18060:  Id :   3, {_}:
          add ?4 additive_identity =>= ?4
          [4] by right_additive_identity ?4
18060:  Id :   4, {_}:
          multiply additive_identity ?6 =>= additive_identity
          [6] by left_multiplicative_zero ?6
18060:  Id :   5, {_}:
          multiply ?8 additive_identity =>= additive_identity
          [8] by right_multiplicative_zero ?8
18060:  Id :   6, {_}:
          add (additive_inverse ?10) ?10 =>= additive_identity
          [10] by left_additive_inverse ?10
18060:  Id :   7, {_}:
          add ?12 (additive_inverse ?12) =>= additive_identity
          [12] by right_additive_inverse ?12
18060:  Id :   8, {_}:
          additive_inverse (additive_inverse ?14) =>= ?14
          [14] by additive_inverse_additive_inverse ?14
18060:  Id :   9, {_}:
          multiply ?16 (add ?17 ?18)
          =<=
          add (multiply ?16 ?17) (multiply ?16 ?18)
          [18, 17, 16] by distribute1 ?16 ?17 ?18
18060:  Id :  10, {_}:
          multiply (add ?20 ?21) ?22
          =<=
          add (multiply ?20 ?22) (multiply ?21 ?22)
          [22, 21, 20] by distribute2 ?20 ?21 ?22
18060:  Id :  11, {_}:
          add ?24 ?25 =<->= add ?25 ?24
          [25, 24] by commutativity_for_addition ?24 ?25
18060:  Id :  12, {_}:
          add ?27 (add ?28 ?29) =?= add (add ?27 ?28) ?29
          [29, 28, 27] by associativity_for_addition ?27 ?28 ?29
18060:  Id :  13, {_}:
          multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
          [32, 31] by right_alternative ?31 ?32
18060:  Id :  14, {_}:
          multiply (multiply ?34 ?34) ?35 =?= multiply ?34 (multiply ?34 ?35)
          [35, 34] by left_alternative ?34 ?35
18060:  Id :  15, {_}:
          associator ?37 ?38 ?39
          =<=
          add (multiply (multiply ?37 ?38) ?39)
            (additive_inverse (multiply ?37 (multiply ?38 ?39)))
          [39, 38, 37] by associator ?37 ?38 ?39
18060:  Id :  16, {_}:
          commutator ?41 ?42
          =<=
          add (multiply ?42 ?41) (additive_inverse (multiply ?41 ?42))
          [42, 41] by commutator ?41 ?42
18060: Goal:
18060:  Id :   1, {_}:
          multiply (multiply cx (multiply cy cx)) cz
          =>=
          multiply cx (multiply cy (multiply cx cz))
          [] by prove_left_moufang
% SZS status Timeout for RNG028-5.p
18173: Facts:
18173:  Id :   2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
18173:  Id :   3, {_}:
          add ?4 additive_identity =>= ?4
          [4] by right_additive_identity ?4
18173:  Id :   4, {_}:
          multiply additive_identity ?6 =>= additive_identity
          [6] by left_multiplicative_zero ?6
18173:  Id :   5, {_}:
          multiply ?8 additive_identity =>= additive_identity
          [8] by right_multiplicative_zero ?8
18173:  Id :   6, {_}:
          add (additive_inverse ?10) ?10 =>= additive_identity
          [10] by left_additive_inverse ?10
18173:  Id :   7, {_}:
          add ?12 (additive_inverse ?12) =>= additive_identity
          [12] by right_additive_inverse ?12
18173:  Id :   8, {_}:
          additive_inverse (additive_inverse ?14) =>= ?14
          [14] by additive_inverse_additive_inverse ?14
18173:  Id :   9, {_}:
          multiply ?16 (add ?17 ?18)
          =<=
          add (multiply ?16 ?17) (multiply ?16 ?18)
          [18, 17, 16] by distribute1 ?16 ?17 ?18
18173:  Id :  10, {_}:
          multiply (add ?20 ?21) ?22
          =<=
          add (multiply ?20 ?22) (multiply ?21 ?22)
          [22, 21, 20] by distribute2 ?20 ?21 ?22
18173:  Id :  11, {_}:
          add ?24 ?25 =<->= add ?25 ?24
          [25, 24] by commutativity_for_addition ?24 ?25
18173:  Id :  12, {_}:
          add ?27 (add ?28 ?29) =?= add (add ?27 ?28) ?29
          [29, 28, 27] by associativity_for_addition ?27 ?28 ?29
18173:  Id :  13, {_}:
          multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
          [32, 31] by right_alternative ?31 ?32
18173:  Id :  14, {_}:
          multiply (multiply ?34 ?34) ?35 =?= multiply ?34 (multiply ?34 ?35)
          [35, 34] by left_alternative ?34 ?35
18173:  Id :  15, {_}:
          associator ?37 ?38 ?39
          =<=
          add (multiply (multiply ?37 ?38) ?39)
            (additive_inverse (multiply ?37 (multiply ?38 ?39)))
          [39, 38, 37] by associator ?37 ?38 ?39
18173:  Id :  16, {_}:
          commutator ?41 ?42
          =<=
          add (multiply ?42 ?41) (additive_inverse (multiply ?41 ?42))
          [42, 41] by commutator ?41 ?42
18173:  Id :  17, {_}:
          multiply (additive_inverse ?44) (additive_inverse ?45)
          =>=
          multiply ?44 ?45
          [45, 44] by product_of_inverses ?44 ?45
18173:  Id :  18, {_}:
          multiply (additive_inverse ?47) ?48
          =>=
          additive_inverse (multiply ?47 ?48)
          [48, 47] by inverse_product1 ?47 ?48
18173:  Id :  19, {_}:
          multiply ?50 (additive_inverse ?51)
          =>=
          additive_inverse (multiply ?50 ?51)
          [51, 50] by inverse_product2 ?50 ?51
18173:  Id :  20, {_}:
          multiply ?53 (add ?54 (additive_inverse ?55))
          =<=
          add (multiply ?53 ?54) (additive_inverse (multiply ?53 ?55))
          [55, 54, 53] by distributivity_of_difference1 ?53 ?54 ?55
18173:  Id :  21, {_}:
          multiply (add ?57 (additive_inverse ?58)) ?59
          =<=
          add (multiply ?57 ?59) (additive_inverse (multiply ?58 ?59))
          [59, 58, 57] by distributivity_of_difference2 ?57 ?58 ?59
18173:  Id :  22, {_}:
          multiply (additive_inverse ?61) (add ?62 ?63)
          =<=
          add (additive_inverse (multiply ?61 ?62))
            (additive_inverse (multiply ?61 ?63))
          [63, 62, 61] by distributivity_of_difference3 ?61 ?62 ?63
18173:  Id :  23, {_}:
          multiply (add ?65 ?66) (additive_inverse ?67)
          =<=
          add (additive_inverse (multiply ?65 ?67))
            (additive_inverse (multiply ?66 ?67))
          [67, 66, 65] by distributivity_of_difference4 ?65 ?66 ?67
18173: Goal:
18173:  Id :   1, {_}:
          multiply (multiply cx (multiply cy cx)) cz
          =>=
          multiply cx (multiply cy (multiply cx cz))
          [] by prove_left_moufang
% SZS status Timeout for RNG028-7.p
18198: Facts:
18198:  Id :   2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
18198:  Id :   3, {_}:
          add ?4 additive_identity =>= ?4
          [4] by right_additive_identity ?4
18198:  Id :   4, {_}:
          multiply additive_identity ?6 =>= additive_identity
          [6] by left_multiplicative_zero ?6
18198:  Id :   5, {_}:
          multiply ?8 additive_identity =>= additive_identity
          [8] by right_multiplicative_zero ?8
18198:  Id :   6, {_}:
          add (additive_inverse ?10) ?10 =>= additive_identity
          [10] by left_additive_inverse ?10
18198:  Id :   7, {_}:
          add ?12 (additive_inverse ?12) =>= additive_identity
          [12] by right_additive_inverse ?12
18198:  Id :   8, {_}:
          additive_inverse (additive_inverse ?14) =>= ?14
          [14] by additive_inverse_additive_inverse ?14
18198:  Id :   9, {_}:
          multiply ?16 (add ?17 ?18)
          =<=
          add (multiply ?16 ?17) (multiply ?16 ?18)
          [18, 17, 16] by distribute1 ?16 ?17 ?18
18198:  Id :  10, {_}:
          multiply (add ?20 ?21) ?22
          =<=
          add (multiply ?20 ?22) (multiply ?21 ?22)
          [22, 21, 20] by distribute2 ?20 ?21 ?22
18198:  Id :  11, {_}:
          add ?24 ?25 =<->= add ?25 ?24
          [25, 24] by commutativity_for_addition ?24 ?25
18198:  Id :  12, {_}:
          add ?27 (add ?28 ?29) =?= add (add ?27 ?28) ?29
          [29, 28, 27] by associativity_for_addition ?27 ?28 ?29
18198:  Id :  13, {_}:
          multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
          [32, 31] by right_alternative ?31 ?32
18198:  Id :  14, {_}:
          multiply (multiply ?34 ?34) ?35 =?= multiply ?34 (multiply ?34 ?35)
          [35, 34] by left_alternative ?34 ?35
18198:  Id :  15, {_}:
          associator ?37 ?38 ?39
          =<=
          add (multiply (multiply ?37 ?38) ?39)
            (additive_inverse (multiply ?37 (multiply ?38 ?39)))
          [39, 38, 37] by associator ?37 ?38 ?39
18198:  Id :  16, {_}:
          commutator ?41 ?42
          =<=
          add (multiply ?42 ?41) (additive_inverse (multiply ?41 ?42))
          [42, 41] by commutator ?41 ?42
18198: Goal:
18198:  Id :   1, {_}:
          associator x (multiply y x) z =>= multiply x (associator x y z)
          [] by prove_left_moufang
% SZS status Timeout for RNG028-8.p
18228: Facts:
18228:  Id :   2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
18228:  Id :   3, {_}:
          add ?4 additive_identity =>= ?4
          [4] by right_additive_identity ?4
18228:  Id :   4, {_}:
          multiply additive_identity ?6 =>= additive_identity
          [6] by left_multiplicative_zero ?6
18228:  Id :   5, {_}:
          multiply ?8 additive_identity =>= additive_identity
          [8] by right_multiplicative_zero ?8
18228:  Id :   6, {_}:
          add (additive_inverse ?10) ?10 =>= additive_identity
          [10] by left_additive_inverse ?10
18228:  Id :   7, {_}:
          add ?12 (additive_inverse ?12) =>= additive_identity
          [12] by right_additive_inverse ?12
18228:  Id :   8, {_}:
          additive_inverse (additive_inverse ?14) =>= ?14
          [14] by additive_inverse_additive_inverse ?14
18228:  Id :   9, {_}:
          multiply ?16 (add ?17 ?18)
          =<=
          add (multiply ?16 ?17) (multiply ?16 ?18)
          [18, 17, 16] by distribute1 ?16 ?17 ?18
18228:  Id :  10, {_}:
          multiply (add ?20 ?21) ?22
          =<=
          add (multiply ?20 ?22) (multiply ?21 ?22)
          [22, 21, 20] by distribute2 ?20 ?21 ?22
18228:  Id :  11, {_}:
          add ?24 ?25 =<->= add ?25 ?24
          [25, 24] by commutativity_for_addition ?24 ?25
18228:  Id :  12, {_}:
          add ?27 (add ?28 ?29) =?= add (add ?27 ?28) ?29
          [29, 28, 27] by associativity_for_addition ?27 ?28 ?29
18228:  Id :  13, {_}:
          multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
          [32, 31] by right_alternative ?31 ?32
18228:  Id :  14, {_}:
          multiply (multiply ?34 ?34) ?35 =?= multiply ?34 (multiply ?34 ?35)
          [35, 34] by left_alternative ?34 ?35
18228:  Id :  15, {_}:
          associator ?37 ?38 ?39
          =<=
          add (multiply (multiply ?37 ?38) ?39)
            (additive_inverse (multiply ?37 (multiply ?38 ?39)))
          [39, 38, 37] by associator ?37 ?38 ?39
18228:  Id :  16, {_}:
          commutator ?41 ?42
          =<=
          add (multiply ?42 ?41) (additive_inverse (multiply ?41 ?42))
          [42, 41] by commutator ?41 ?42
18228:  Id :  17, {_}:
          multiply (additive_inverse ?44) (additive_inverse ?45)
          =>=
          multiply ?44 ?45
          [45, 44] by product_of_inverses ?44 ?45
18228:  Id :  18, {_}:
          multiply (additive_inverse ?47) ?48
          =>=
          additive_inverse (multiply ?47 ?48)
          [48, 47] by inverse_product1 ?47 ?48
18228:  Id :  19, {_}:
          multiply ?50 (additive_inverse ?51)
          =>=
          additive_inverse (multiply ?50 ?51)
          [51, 50] by inverse_product2 ?50 ?51
18228:  Id :  20, {_}:
          multiply ?53 (add ?54 (additive_inverse ?55))
          =<=
          add (multiply ?53 ?54) (additive_inverse (multiply ?53 ?55))
          [55, 54, 53] by distributivity_of_difference1 ?53 ?54 ?55
18228:  Id :  21, {_}:
          multiply (add ?57 (additive_inverse ?58)) ?59
          =<=
          add (multiply ?57 ?59) (additive_inverse (multiply ?58 ?59))
          [59, 58, 57] by distributivity_of_difference2 ?57 ?58 ?59
18228:  Id :  22, {_}:
          multiply (additive_inverse ?61) (add ?62 ?63)
          =<=
          add (additive_inverse (multiply ?61 ?62))
            (additive_inverse (multiply ?61 ?63))
          [63, 62, 61] by distributivity_of_difference3 ?61 ?62 ?63
18228:  Id :  23, {_}:
          multiply (add ?65 ?66) (additive_inverse ?67)
          =<=
          add (additive_inverse (multiply ?65 ?67))
            (additive_inverse (multiply ?66 ?67))
          [67, 66, 65] by distributivity_of_difference4 ?65 ?66 ?67
18228: Goal:
18228:  Id :   1, {_}:
          associator x (multiply y x) z =>= multiply x (associator x y z)
          [] by prove_left_moufang
% SZS status Timeout for RNG028-9.p
18253: Facts:
18253:  Id :   2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
18253:  Id :   3, {_}:
          add ?4 additive_identity =>= ?4
          [4] by right_additive_identity ?4
18253:  Id :   4, {_}:
          multiply additive_identity ?6 =>= additive_identity
          [6] by left_multiplicative_zero ?6
18253:  Id :   5, {_}:
          multiply ?8 additive_identity =>= additive_identity
          [8] by right_multiplicative_zero ?8
18253:  Id :   6, {_}:
          add (additive_inverse ?10) ?10 =>= additive_identity
          [10] by left_additive_inverse ?10
18253:  Id :   7, {_}:
          add ?12 (additive_inverse ?12) =>= additive_identity
          [12] by right_additive_inverse ?12
18253:  Id :   8, {_}:
          additive_inverse (additive_inverse ?14) =>= ?14
          [14] by additive_inverse_additive_inverse ?14
18253:  Id :   9, {_}:
          multiply ?16 (add ?17 ?18)
          =<=
          add (multiply ?16 ?17) (multiply ?16 ?18)
          [18, 17, 16] by distribute1 ?16 ?17 ?18
18253:  Id :  10, {_}:
          multiply (add ?20 ?21) ?22
          =<=
          add (multiply ?20 ?22) (multiply ?21 ?22)
          [22, 21, 20] by distribute2 ?20 ?21 ?22
18253:  Id :  11, {_}:
          add ?24 ?25 =<->= add ?25 ?24
          [25, 24] by commutativity_for_addition ?24 ?25
18253:  Id :  12, {_}:
          add ?27 (add ?28 ?29) =?= add (add ?27 ?28) ?29
          [29, 28, 27] by associativity_for_addition ?27 ?28 ?29
18253:  Id :  13, {_}:
          multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
          [32, 31] by right_alternative ?31 ?32
18253:  Id :  14, {_}:
          multiply (multiply ?34 ?34) ?35 =?= multiply ?34 (multiply ?34 ?35)
          [35, 34] by left_alternative ?34 ?35
18253:  Id :  15, {_}:
          associator ?37 ?38 ?39
          =<=
          add (multiply (multiply ?37 ?38) ?39)
            (additive_inverse (multiply ?37 (multiply ?38 ?39)))
          [39, 38, 37] by associator ?37 ?38 ?39
18253:  Id :  16, {_}:
          commutator ?41 ?42
          =<=
          add (multiply ?42 ?41) (additive_inverse (multiply ?41 ?42))
          [42, 41] by commutator ?41 ?42
18253: Goal:
18253:  Id :   1, {_}:
          multiply (multiply cx cy) (multiply cz cx)
          =>=
          multiply cx (multiply (multiply cy cz) cx)
          [] by prove_middle_law
% SZS status Timeout for RNG029-5.p
18283: Facts:
18283:  Id :   2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
18283:  Id :   3, {_}:
          add ?4 additive_identity =>= ?4
          [4] by right_additive_identity ?4
18283:  Id :   4, {_}:
          multiply additive_identity ?6 =>= additive_identity
          [6] by left_multiplicative_zero ?6
18283:  Id :   5, {_}:
          multiply ?8 additive_identity =>= additive_identity
          [8] by right_multiplicative_zero ?8
18283:  Id :   6, {_}:
          add (additive_inverse ?10) ?10 =>= additive_identity
          [10] by left_additive_inverse ?10
18283:  Id :   7, {_}:
          add ?12 (additive_inverse ?12) =>= additive_identity
          [12] by right_additive_inverse ?12
18283:  Id :   8, {_}:
          additive_inverse (additive_inverse ?14) =>= ?14
          [14] by additive_inverse_additive_inverse ?14
18283:  Id :   9, {_}:
          multiply ?16 (add ?17 ?18)
          =<=
          add (multiply ?16 ?17) (multiply ?16 ?18)
          [18, 17, 16] by distribute1 ?16 ?17 ?18
18283:  Id :  10, {_}:
          multiply (add ?20 ?21) ?22
          =<=
          add (multiply ?20 ?22) (multiply ?21 ?22)
          [22, 21, 20] by distribute2 ?20 ?21 ?22
18283:  Id :  11, {_}:
          add ?24 ?25 =<->= add ?25 ?24
          [25, 24] by commutativity_for_addition ?24 ?25
18283:  Id :  12, {_}:
          add ?27 (add ?28 ?29) =?= add (add ?27 ?28) ?29
          [29, 28, 27] by associativity_for_addition ?27 ?28 ?29
18283:  Id :  13, {_}:
          multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
          [32, 31] by right_alternative ?31 ?32
18283:  Id :  14, {_}:
          multiply (multiply ?34 ?34) ?35 =?= multiply ?34 (multiply ?34 ?35)
          [35, 34] by left_alternative ?34 ?35
18283:  Id :  15, {_}:
          associator ?37 ?38 ?39
          =<=
          add (multiply (multiply ?37 ?38) ?39)
            (additive_inverse (multiply ?37 (multiply ?38 ?39)))
          [39, 38, 37] by associator ?37 ?38 ?39
18283:  Id :  16, {_}:
          commutator ?41 ?42
          =<=
          add (multiply ?42 ?41) (additive_inverse (multiply ?41 ?42))
          [42, 41] by commutator ?41 ?42
18283: Goal:
18283:  Id :   1, {_}:
          multiply (multiply x y) (multiply z x)
          =<=
          multiply (multiply x (multiply y z)) x
          [] by prove_middle_moufang
% SZS status Timeout for RNG029-6.p
18309: Facts:
18309:  Id :   2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
18309:  Id :   3, {_}:
          add ?4 additive_identity =>= ?4
          [4] by right_additive_identity ?4
18309:  Id :   4, {_}:
          multiply additive_identity ?6 =>= additive_identity
          [6] by left_multiplicative_zero ?6
18309:  Id :   5, {_}:
          multiply ?8 additive_identity =>= additive_identity
          [8] by right_multiplicative_zero ?8
18309:  Id :   6, {_}:
          add (additive_inverse ?10) ?10 =>= additive_identity
          [10] by left_additive_inverse ?10
18309:  Id :   7, {_}:
          add ?12 (additive_inverse ?12) =>= additive_identity
          [12] by right_additive_inverse ?12
18309:  Id :   8, {_}:
          additive_inverse (additive_inverse ?14) =>= ?14
          [14] by additive_inverse_additive_inverse ?14
18309:  Id :   9, {_}:
          multiply ?16 (add ?17 ?18)
          =<=
          add (multiply ?16 ?17) (multiply ?16 ?18)
          [18, 17, 16] by distribute1 ?16 ?17 ?18
18309:  Id :  10, {_}:
          multiply (add ?20 ?21) ?22
          =<=
          add (multiply ?20 ?22) (multiply ?21 ?22)
          [22, 21, 20] by distribute2 ?20 ?21 ?22
18309:  Id :  11, {_}:
          add ?24 ?25 =<->= add ?25 ?24
          [25, 24] by commutativity_for_addition ?24 ?25
18309:  Id :  12, {_}:
          add ?27 (add ?28 ?29) =?= add (add ?27 ?28) ?29
          [29, 28, 27] by associativity_for_addition ?27 ?28 ?29
18309:  Id :  13, {_}:
          multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
          [32, 31] by right_alternative ?31 ?32
18309:  Id :  14, {_}:
          multiply (multiply ?34 ?34) ?35 =?= multiply ?34 (multiply ?34 ?35)
          [35, 34] by left_alternative ?34 ?35
18309:  Id :  15, {_}:
          associator ?37 ?38 ?39
          =<=
          add (multiply (multiply ?37 ?38) ?39)
            (additive_inverse (multiply ?37 (multiply ?38 ?39)))
          [39, 38, 37] by associator ?37 ?38 ?39
18309:  Id :  16, {_}:
          commutator ?41 ?42
          =<=
          add (multiply ?42 ?41) (additive_inverse (multiply ?41 ?42))
          [42, 41] by commutator ?41 ?42
18309:  Id :  17, {_}:
          multiply (additive_inverse ?44) (additive_inverse ?45)
          =>=
          multiply ?44 ?45
          [45, 44] by product_of_inverses ?44 ?45
18309:  Id :  18, {_}:
          multiply (additive_inverse ?47) ?48
          =>=
          additive_inverse (multiply ?47 ?48)
          [48, 47] by inverse_product1 ?47 ?48
18309:  Id :  19, {_}:
          multiply ?50 (additive_inverse ?51)
          =>=
          additive_inverse (multiply ?50 ?51)
          [51, 50] by inverse_product2 ?50 ?51
18309:  Id :  20, {_}:
          multiply ?53 (add ?54 (additive_inverse ?55))
          =<=
          add (multiply ?53 ?54) (additive_inverse (multiply ?53 ?55))
          [55, 54, 53] by distributivity_of_difference1 ?53 ?54 ?55
18309:  Id :  21, {_}:
          multiply (add ?57 (additive_inverse ?58)) ?59
          =<=
          add (multiply ?57 ?59) (additive_inverse (multiply ?58 ?59))
          [59, 58, 57] by distributivity_of_difference2 ?57 ?58 ?59
18309:  Id :  22, {_}:
          multiply (additive_inverse ?61) (add ?62 ?63)
          =<=
          add (additive_inverse (multiply ?61 ?62))
            (additive_inverse (multiply ?61 ?63))
          [63, 62, 61] by distributivity_of_difference3 ?61 ?62 ?63
18309:  Id :  23, {_}:
          multiply (add ?65 ?66) (additive_inverse ?67)
          =<=
          add (additive_inverse (multiply ?65 ?67))
            (additive_inverse (multiply ?66 ?67))
          [67, 66, 65] by distributivity_of_difference4 ?65 ?66 ?67
18309: Goal:
18309:  Id :   1, {_}:
          multiply (multiply x y) (multiply z x)
          =<=
          multiply (multiply x (multiply y z)) x
          [] by prove_middle_moufang
% SZS status Timeout for RNG029-7.p
18342: Facts:
18342:  Id :   2, {_}:
          add ?2 ?3 =<->= add ?3 ?2
          [3, 2] by commutativity_for_addition ?2 ?3
18342:  Id :   3, {_}:
          add ?5 (add ?6 ?7) =?= add (add ?5 ?6) ?7
          [7, 6, 5] by associativity_for_addition ?5 ?6 ?7
18342:  Id :   4, {_}: add additive_identity ?9 =>= ?9 [9] by left_additive_identity ?9
18342:  Id :   5, {_}:
          add ?11 additive_identity =>= ?11
          [11] by right_additive_identity ?11
18342:  Id :   6, {_}:
          multiply additive_identity ?13 =>= additive_identity
          [13] by left_multiplicative_zero ?13
18342:  Id :   7, {_}:
          multiply ?15 additive_identity =>= additive_identity
          [15] by right_multiplicative_zero ?15
18342:  Id :   8, {_}:
          add (additive_inverse ?17) ?17 =>= additive_identity
          [17] by left_additive_inverse ?17
18342:  Id :   9, {_}:
          add ?19 (additive_inverse ?19) =>= additive_identity
          [19] by right_additive_inverse ?19
18342:  Id :  10, {_}:
          multiply ?21 (add ?22 ?23)
          =<=
          add (multiply ?21 ?22) (multiply ?21 ?23)
          [23, 22, 21] by distribute1 ?21 ?22 ?23
18342:  Id :  11, {_}:
          multiply (add ?25 ?26) ?27
          =<=
          add (multiply ?25 ?27) (multiply ?26 ?27)
          [27, 26, 25] by distribute2 ?25 ?26 ?27
18342:  Id :  12, {_}:
          additive_inverse (additive_inverse ?29) =>= ?29
          [29] by additive_inverse_additive_inverse ?29
18342:  Id :  13, {_}:
          multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
          [32, 31] by right_alternative ?31 ?32
18342:  Id :  14, {_}:
          associator ?34 ?35 ?36
          =<=
          add (multiply (multiply ?34 ?35) ?36)
            (additive_inverse (multiply ?34 (multiply ?35 ?36)))
          [36, 35, 34] by associator ?34 ?35 ?36
18342:  Id :  15, {_}:
          commutator ?38 ?39
          =<=
          add (multiply ?39 ?38) (additive_inverse (multiply ?38 ?39))
          [39, 38] by commutator ?38 ?39
18342: Goal:
18342:  Id :   1, {_}:
          add
            (multiply (associator x x y)
              (multiply (associator x x y) (associator x x y)))
            (multiply (associator x x y)
              (multiply (associator x x y) (associator x x y)))
          =>=
          additive_identity
          [] by prove_conjecture_1
% SZS status Timeout for RNG030-6.p
18375: Facts:
18375:  Id :   2, {_}:
          multiply (additive_inverse ?2) (additive_inverse ?3)
          =>=
          multiply ?2 ?3
          [3, 2] by product_of_inverses ?2 ?3
18375:  Id :   3, {_}:
          multiply (additive_inverse ?5) ?6
          =>=
          additive_inverse (multiply ?5 ?6)
          [6, 5] by inverse_product1 ?5 ?6
18375:  Id :   4, {_}:
          multiply ?8 (additive_inverse ?9)
          =>=
          additive_inverse (multiply ?8 ?9)
          [9, 8] by inverse_product2 ?8 ?9
18375:  Id :   5, {_}:
          multiply ?11 (add ?12 (additive_inverse ?13))
          =<=
          add (multiply ?11 ?12) (additive_inverse (multiply ?11 ?13))
          [13, 12, 11] by distributivity_of_difference1 ?11 ?12 ?13
18375:  Id :   6, {_}:
          multiply (add ?15 (additive_inverse ?16)) ?17
          =<=
          add (multiply ?15 ?17) (additive_inverse (multiply ?16 ?17))
          [17, 16, 15] by distributivity_of_difference2 ?15 ?16 ?17
18375:  Id :   7, {_}:
          multiply (additive_inverse ?19) (add ?20 ?21)
          =<=
          add (additive_inverse (multiply ?19 ?20))
            (additive_inverse (multiply ?19 ?21))
          [21, 20, 19] by distributivity_of_difference3 ?19 ?20 ?21
18375:  Id :   8, {_}:
          multiply (add ?23 ?24) (additive_inverse ?25)
          =<=
          add (additive_inverse (multiply ?23 ?25))
            (additive_inverse (multiply ?24 ?25))
          [25, 24, 23] by distributivity_of_difference4 ?23 ?24 ?25
18375:  Id :   9, {_}:
          add ?27 ?28 =<->= add ?28 ?27
          [28, 27] by commutativity_for_addition ?27 ?28
18375:  Id :  10, {_}:
          add ?30 (add ?31 ?32) =?= add (add ?30 ?31) ?32
          [32, 31, 30] by associativity_for_addition ?30 ?31 ?32
18375:  Id :  11, {_}:
          add additive_identity ?34 =>= ?34
          [34] by left_additive_identity ?34
18375:  Id :  12, {_}:
          add ?36 additive_identity =>= ?36
          [36] by right_additive_identity ?36
18375:  Id :  13, {_}:
          multiply additive_identity ?38 =>= additive_identity
          [38] by left_multiplicative_zero ?38
18375:  Id :  14, {_}:
          multiply ?40 additive_identity =>= additive_identity
          [40] by right_multiplicative_zero ?40
18375:  Id :  15, {_}:
          add (additive_inverse ?42) ?42 =>= additive_identity
          [42] by left_additive_inverse ?42
18375:  Id :  16, {_}:
          add ?44 (additive_inverse ?44) =>= additive_identity
          [44] by right_additive_inverse ?44
18375:  Id :  17, {_}:
          multiply ?46 (add ?47 ?48)
          =<=
          add (multiply ?46 ?47) (multiply ?46 ?48)
          [48, 47, 46] by distribute1 ?46 ?47 ?48
18375:  Id :  18, {_}:
          multiply (add ?50 ?51) ?52
          =<=
          add (multiply ?50 ?52) (multiply ?51 ?52)
          [52, 51, 50] by distribute2 ?50 ?51 ?52
18375:  Id :  19, {_}:
          additive_inverse (additive_inverse ?54) =>= ?54
          [54] by additive_inverse_additive_inverse ?54
18375:  Id :  20, {_}:
          multiply (multiply ?56 ?57) ?57 =?= multiply ?56 (multiply ?57 ?57)
          [57, 56] by right_alternative ?56 ?57
18375:  Id :  21, {_}:
          associator ?59 ?60 ?61
          =<=
          add (multiply (multiply ?59 ?60) ?61)
            (additive_inverse (multiply ?59 (multiply ?60 ?61)))
          [61, 60, 59] by associator ?59 ?60 ?61
18375:  Id :  22, {_}:
          commutator ?63 ?64
          =<=
          add (multiply ?64 ?63) (additive_inverse (multiply ?63 ?64))
          [64, 63] by commutator ?63 ?64
18375: Goal:
18375:  Id :   1, {_}:
          add
            (multiply (associator x x y)
              (multiply (associator x x y) (associator x x y)))
            (multiply (associator x x y)
              (multiply (associator x x y) (associator x x y)))
          =>=
          additive_identity
          [] by prove_conjecture_1
% SZS status Timeout for RNG030-7.p
18405: Facts:
18405:  Id :   2, {_}:
          add ?2 ?3 =<->= add ?3 ?2
          [3, 2] by commutativity_for_addition ?2 ?3
18405:  Id :   3, {_}:
          add ?5 (add ?6 ?7) =?= add (add ?5 ?6) ?7
          [7, 6, 5] by associativity_for_addition ?5 ?6 ?7
18405:  Id :   4, {_}: add additive_identity ?9 =>= ?9 [9] by left_additive_identity ?9
18405:  Id :   5, {_}:
          add ?11 additive_identity =>= ?11
          [11] by right_additive_identity ?11
18405:  Id :   6, {_}:
          multiply additive_identity ?13 =>= additive_identity
          [13] by left_multiplicative_zero ?13
18405:  Id :   7, {_}:
          multiply ?15 additive_identity =>= additive_identity
          [15] by right_multiplicative_zero ?15
18405:  Id :   8, {_}:
          add (additive_inverse ?17) ?17 =>= additive_identity
          [17] by left_additive_inverse ?17
18405:  Id :   9, {_}:
          add ?19 (additive_inverse ?19) =>= additive_identity
          [19] by right_additive_inverse ?19
18405:  Id :  10, {_}:
          multiply ?21 (add ?22 ?23)
          =<=
          add (multiply ?21 ?22) (multiply ?21 ?23)
          [23, 22, 21] by distribute1 ?21 ?22 ?23
18405:  Id :  11, {_}:
          multiply (add ?25 ?26) ?27
          =<=
          add (multiply ?25 ?27) (multiply ?26 ?27)
          [27, 26, 25] by distribute2 ?25 ?26 ?27
18405:  Id :  12, {_}:
          additive_inverse (additive_inverse ?29) =>= ?29
          [29] by additive_inverse_additive_inverse ?29
18405:  Id :  13, {_}:
          multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
          [32, 31] by right_alternative ?31 ?32
18405:  Id :  14, {_}:
          associator ?34 ?35 ?36
          =<=
          add (multiply (multiply ?34 ?35) ?36)
            (additive_inverse (multiply ?34 (multiply ?35 ?36)))
          [36, 35, 34] by associator ?34 ?35 ?36
18405:  Id :  15, {_}:
          commutator ?38 ?39
          =<=
          add (multiply ?39 ?38) (additive_inverse (multiply ?38 ?39))
          [39, 38] by commutator ?38 ?39
18405: Goal:
18405:  Id :   1, {_}:
          multiply
            (multiply (multiply (associator x x y) (associator x x y)) x)
            (multiply (associator x x y) (associator x x y))
          =>=
          additive_identity
          [] by prove_conjecture_2
% SZS status Timeout for RNG031-6.p
18433: Facts:
18433:  Id :   2, {_}:
          multiply (additive_inverse ?2) (additive_inverse ?3)
          =>=
          multiply ?2 ?3
          [3, 2] by product_of_inverses ?2 ?3
18433:  Id :   3, {_}:
          multiply (additive_inverse ?5) ?6
          =>=
          additive_inverse (multiply ?5 ?6)
          [6, 5] by inverse_product1 ?5 ?6
18433:  Id :   4, {_}:
          multiply ?8 (additive_inverse ?9)
          =>=
          additive_inverse (multiply ?8 ?9)
          [9, 8] by inverse_product2 ?8 ?9
18433:  Id :   5, {_}:
          multiply ?11 (add ?12 (additive_inverse ?13))
          =<=
          add (multiply ?11 ?12) (additive_inverse (multiply ?11 ?13))
          [13, 12, 11] by distributivity_of_difference1 ?11 ?12 ?13
18433:  Id :   6, {_}:
          multiply (add ?15 (additive_inverse ?16)) ?17
          =<=
          add (multiply ?15 ?17) (additive_inverse (multiply ?16 ?17))
          [17, 16, 15] by distributivity_of_difference2 ?15 ?16 ?17
18433:  Id :   7, {_}:
          multiply (additive_inverse ?19) (add ?20 ?21)
          =<=
          add (additive_inverse (multiply ?19 ?20))
            (additive_inverse (multiply ?19 ?21))
          [21, 20, 19] by distributivity_of_difference3 ?19 ?20 ?21
18433:  Id :   8, {_}:
          multiply (add ?23 ?24) (additive_inverse ?25)
          =<=
          add (additive_inverse (multiply ?23 ?25))
            (additive_inverse (multiply ?24 ?25))
          [25, 24, 23] by distributivity_of_difference4 ?23 ?24 ?25
18433:  Id :   9, {_}:
          add ?27 ?28 =<->= add ?28 ?27
          [28, 27] by commutativity_for_addition ?27 ?28
18433:  Id :  10, {_}:
          add ?30 (add ?31 ?32) =?= add (add ?30 ?31) ?32
          [32, 31, 30] by associativity_for_addition ?30 ?31 ?32
18433:  Id :  11, {_}:
          add additive_identity ?34 =>= ?34
          [34] by left_additive_identity ?34
18433:  Id :  12, {_}:
          add ?36 additive_identity =>= ?36
          [36] by right_additive_identity ?36
18433:  Id :  13, {_}:
          multiply additive_identity ?38 =>= additive_identity
          [38] by left_multiplicative_zero ?38
18433:  Id :  14, {_}:
          multiply ?40 additive_identity =>= additive_identity
          [40] by right_multiplicative_zero ?40
18433:  Id :  15, {_}:
          add (additive_inverse ?42) ?42 =>= additive_identity
          [42] by left_additive_inverse ?42
18433:  Id :  16, {_}:
          add ?44 (additive_inverse ?44) =>= additive_identity
          [44] by right_additive_inverse ?44
18433:  Id :  17, {_}:
          multiply ?46 (add ?47 ?48)
          =<=
          add (multiply ?46 ?47) (multiply ?46 ?48)
          [48, 47, 46] by distribute1 ?46 ?47 ?48
18433:  Id :  18, {_}:
          multiply (add ?50 ?51) ?52
          =<=
          add (multiply ?50 ?52) (multiply ?51 ?52)
          [52, 51, 50] by distribute2 ?50 ?51 ?52
18433:  Id :  19, {_}:
          additive_inverse (additive_inverse ?54) =>= ?54
          [54] by additive_inverse_additive_inverse ?54
18433:  Id :  20, {_}:
          multiply (multiply ?56 ?57) ?57 =?= multiply ?56 (multiply ?57 ?57)
          [57, 56] by right_alternative ?56 ?57
18433:  Id :  21, {_}:
          associator ?59 ?60 ?61
          =<=
          add (multiply (multiply ?59 ?60) ?61)
            (additive_inverse (multiply ?59 (multiply ?60 ?61)))
          [61, 60, 59] by associator ?59 ?60 ?61
18433:  Id :  22, {_}:
          commutator ?63 ?64
          =<=
          add (multiply ?64 ?63) (additive_inverse (multiply ?63 ?64))
          [64, 63] by commutator ?63 ?64
18433: Goal:
18433:  Id :   1, {_}:
          multiply
            (multiply (multiply (associator x x y) (associator x x y)) x)
            (multiply (associator x x y) (associator x x y))
          =>=
          additive_identity
          [] by prove_conjecture_2
% SZS status Timeout for RNG031-7.p
18463: Facts:
18463:  Id :   2, {_}:
          add ?2 ?3 =<->= add ?3 ?2
          [3, 2] by commutativity_for_addition ?2 ?3
18463:  Id :   3, {_}:
          add ?5 (add ?6 ?7) =?= add (add ?5 ?6) ?7
          [7, 6, 5] by associativity_for_addition ?5 ?6 ?7
18463:  Id :   4, {_}: add additive_identity ?9 =>= ?9 [9] by left_additive_identity ?9
18463:  Id :   5, {_}:
          add ?11 additive_identity =>= ?11
          [11] by right_additive_identity ?11
18463:  Id :   6, {_}:
          multiply additive_identity ?13 =>= additive_identity
          [13] by left_multiplicative_zero ?13
18463:  Id :   7, {_}:
          multiply ?15 additive_identity =>= additive_identity
          [15] by right_multiplicative_zero ?15
18463:  Id :   8, {_}:
          add (additive_inverse ?17) ?17 =>= additive_identity
          [17] by left_additive_inverse ?17
18463:  Id :   9, {_}:
          add ?19 (additive_inverse ?19) =>= additive_identity
          [19] by right_additive_inverse ?19
18463:  Id :  10, {_}:
          multiply ?21 (add ?22 ?23)
          =<=
          add (multiply ?21 ?22) (multiply ?21 ?23)
          [23, 22, 21] by distribute1 ?21 ?22 ?23
18463:  Id :  11, {_}:
          multiply (add ?25 ?26) ?27
          =<=
          add (multiply ?25 ?27) (multiply ?26 ?27)
          [27, 26, 25] by distribute2 ?25 ?26 ?27
18463:  Id :  12, {_}:
          additive_inverse (additive_inverse ?29) =>= ?29
          [29] by additive_inverse_additive_inverse ?29
18463:  Id :  13, {_}:
          multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
          [32, 31] by right_alternative ?31 ?32
18463:  Id :  14, {_}:
          associator ?34 ?35 ?36
          =<=
          add (multiply (multiply ?34 ?35) ?36)
            (additive_inverse (multiply ?34 (multiply ?35 ?36)))
          [36, 35, 34] by associator ?34 ?35 ?36
18463:  Id :  15, {_}:
          commutator ?38 ?39
          =<=
          add (multiply ?39 ?38) (additive_inverse (multiply ?38 ?39))
          [39, 38] by commutator ?38 ?39
18463: Goal:
18463:  Id :   1, {_}:
          add
            (add
              (add
                (add
                  (add
                    (multiply (associator x x y)
                      (multiply (associator x x y) (associator x x y)))
                    (multiply (associator x x y)
                      (multiply (associator x x y) (associator x x y))))
                  (multiply (associator x x y)
                    (multiply (associator x x y) (associator x x y))))
                (multiply (associator x x y)
                  (multiply (associator x x y) (associator x x y))))
              (multiply (associator x x y)
                (multiply (associator x x y) (associator x x y))))
            (multiply (associator x x y)
              (multiply (associator x x y) (associator x x y)))
          =>=
          additive_identity
          [] by prove_conjecture_3
% SZS status Timeout for RNG032-6.p
18542: Facts:
18542:  Id :   2, {_}:
          multiply (additive_inverse ?2) (additive_inverse ?3)
          =>=
          multiply ?2 ?3
          [3, 2] by product_of_inverses ?2 ?3
18542:  Id :   3, {_}:
          multiply (additive_inverse ?5) ?6
          =>=
          additive_inverse (multiply ?5 ?6)
          [6, 5] by inverse_product1 ?5 ?6
18542:  Id :   4, {_}:
          multiply ?8 (additive_inverse ?9)
          =>=
          additive_inverse (multiply ?8 ?9)
          [9, 8] by inverse_product2 ?8 ?9
18542:  Id :   5, {_}:
          multiply ?11 (add ?12 (additive_inverse ?13))
          =<=
          add (multiply ?11 ?12) (additive_inverse (multiply ?11 ?13))
          [13, 12, 11] by distributivity_of_difference1 ?11 ?12 ?13
18542:  Id :   6, {_}:
          multiply (add ?15 (additive_inverse ?16)) ?17
          =<=
          add (multiply ?15 ?17) (additive_inverse (multiply ?16 ?17))
          [17, 16, 15] by distributivity_of_difference2 ?15 ?16 ?17
18542:  Id :   7, {_}:
          multiply (additive_inverse ?19) (add ?20 ?21)
          =<=
          add (additive_inverse (multiply ?19 ?20))
            (additive_inverse (multiply ?19 ?21))
          [21, 20, 19] by distributivity_of_difference3 ?19 ?20 ?21
18542:  Id :   8, {_}:
          multiply (add ?23 ?24) (additive_inverse ?25)
          =<=
          add (additive_inverse (multiply ?23 ?25))
            (additive_inverse (multiply ?24 ?25))
          [25, 24, 23] by distributivity_of_difference4 ?23 ?24 ?25
18542:  Id :   9, {_}:
          add ?27 ?28 =<->= add ?28 ?27
          [28, 27] by commutativity_for_addition ?27 ?28
18542:  Id :  10, {_}:
          add ?30 (add ?31 ?32) =?= add (add ?30 ?31) ?32
          [32, 31, 30] by associativity_for_addition ?30 ?31 ?32
18542:  Id :  11, {_}:
          add additive_identity ?34 =>= ?34
          [34] by left_additive_identity ?34
18542:  Id :  12, {_}:
          add ?36 additive_identity =>= ?36
          [36] by right_additive_identity ?36
18542:  Id :  13, {_}:
          multiply additive_identity ?38 =>= additive_identity
          [38] by left_multiplicative_zero ?38
18542:  Id :  14, {_}:
          multiply ?40 additive_identity =>= additive_identity
          [40] by right_multiplicative_zero ?40
18542:  Id :  15, {_}:
          add (additive_inverse ?42) ?42 =>= additive_identity
          [42] by left_additive_inverse ?42
18542:  Id :  16, {_}:
          add ?44 (additive_inverse ?44) =>= additive_identity
          [44] by right_additive_inverse ?44
18542:  Id :  17, {_}:
          multiply ?46 (add ?47 ?48)
          =<=
          add (multiply ?46 ?47) (multiply ?46 ?48)
          [48, 47, 46] by distribute1 ?46 ?47 ?48
18542:  Id :  18, {_}:
          multiply (add ?50 ?51) ?52
          =<=
          add (multiply ?50 ?52) (multiply ?51 ?52)
          [52, 51, 50] by distribute2 ?50 ?51 ?52
18542:  Id :  19, {_}:
          additive_inverse (additive_inverse ?54) =>= ?54
          [54] by additive_inverse_additive_inverse ?54
18542:  Id :  20, {_}:
          multiply (multiply ?56 ?57) ?57 =?= multiply ?56 (multiply ?57 ?57)
          [57, 56] by right_alternative ?56 ?57
18542:  Id :  21, {_}:
          associator ?59 ?60 ?61
          =<=
          add (multiply (multiply ?59 ?60) ?61)
            (additive_inverse (multiply ?59 (multiply ?60 ?61)))
          [61, 60, 59] by associator ?59 ?60 ?61
18542:  Id :  22, {_}:
          commutator ?63 ?64
          =<=
          add (multiply ?64 ?63) (additive_inverse (multiply ?63 ?64))
          [64, 63] by commutator ?63 ?64
18542: Goal:
18542:  Id :   1, {_}:
          add
            (add
              (add
                (add
                  (add
                    (multiply (associator x x y)
                      (multiply (associator x x y) (associator x x y)))
                    (multiply (associator x x y)
                      (multiply (associator x x y) (associator x x y))))
                  (multiply (associator x x y)
                    (multiply (associator x x y) (associator x x y))))
                (multiply (associator x x y)
                  (multiply (associator x x y) (associator x x y))))
              (multiply (associator x x y)
                (multiply (associator x x y) (associator x x y))))
            (multiply (associator x x y)
              (multiply (associator x x y) (associator x x y)))
          =>=
          additive_identity
          [] by prove_conjecture_3
% SZS status Timeout for RNG032-7.p
18572: Facts:
18572:  Id :   2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
18572:  Id :   3, {_}:
          add ?4 additive_identity =>= ?4
          [4] by right_additive_identity ?4
18572:  Id :   4, {_}:
          multiply additive_identity ?6 =>= additive_identity
          [6] by left_multiplicative_zero ?6
18572:  Id :   5, {_}:
          multiply ?8 additive_identity =>= additive_identity
          [8] by right_multiplicative_zero ?8
18572:  Id :   6, {_}:
          add (additive_inverse ?10) ?10 =>= additive_identity
          [10] by left_additive_inverse ?10
18572:  Id :   7, {_}:
          add ?12 (additive_inverse ?12) =>= additive_identity
          [12] by right_additive_inverse ?12
18572:  Id :   8, {_}:
          additive_inverse (additive_inverse ?14) =>= ?14
          [14] by additive_inverse_additive_inverse ?14
18572:  Id :   9, {_}:
          multiply ?16 (add ?17 ?18)
          =<=
          add (multiply ?16 ?17) (multiply ?16 ?18)
          [18, 17, 16] by distribute1 ?16 ?17 ?18
18572:  Id :  10, {_}:
          multiply (add ?20 ?21) ?22
          =<=
          add (multiply ?20 ?22) (multiply ?21 ?22)
          [22, 21, 20] by distribute2 ?20 ?21 ?22
18572:  Id :  11, {_}:
          add ?24 ?25 =<->= add ?25 ?24
          [25, 24] by commutativity_for_addition ?24 ?25
18572:  Id :  12, {_}:
          add ?27 (add ?28 ?29) =?= add (add ?27 ?28) ?29
          [29, 28, 27] by associativity_for_addition ?27 ?28 ?29
18572:  Id :  13, {_}:
          multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
          [32, 31] by right_alternative ?31 ?32
18572:  Id :  14, {_}:
          multiply (multiply ?34 ?34) ?35 =?= multiply ?34 (multiply ?34 ?35)
          [35, 34] by left_alternative ?34 ?35
18572:  Id :  15, {_}:
          associator ?37 ?38 ?39
          =<=
          add (multiply (multiply ?37 ?38) ?39)
            (additive_inverse (multiply ?37 (multiply ?38 ?39)))
          [39, 38, 37] by associator ?37 ?38 ?39
18572:  Id :  16, {_}:
          commutator ?41 ?42
          =<=
          add (multiply ?42 ?41) (additive_inverse (multiply ?41 ?42))
          [42, 41] by commutator ?41 ?42
18572: Goal:
18572:  Id :   1, {_}:
          add (associator (multiply x y) z w) (associator x y (commutator z w))
          =>=
          add (multiply x (associator y z w)) (multiply (associator x z w) y)
          [] by prove_challenge
% SZS status Timeout for RNG033-6.p
18592: Facts:
18592:  Id :   2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
18592:  Id :   3, {_}:
          add ?4 additive_identity =>= ?4
          [4] by right_additive_identity ?4
18592:  Id :   4, {_}:
          multiply additive_identity ?6 =>= additive_identity
          [6] by left_multiplicative_zero ?6
18592:  Id :   5, {_}:
          multiply ?8 additive_identity =>= additive_identity
          [8] by right_multiplicative_zero ?8
18592:  Id :   6, {_}:
          add (additive_inverse ?10) ?10 =>= additive_identity
          [10] by left_additive_inverse ?10
18592:  Id :   7, {_}:
          add ?12 (additive_inverse ?12) =>= additive_identity
          [12] by right_additive_inverse ?12
18592:  Id :   8, {_}:
          additive_inverse (additive_inverse ?14) =>= ?14
          [14] by additive_inverse_additive_inverse ?14
18592:  Id :   9, {_}:
          multiply ?16 (add ?17 ?18)
          =<=
          add (multiply ?16 ?17) (multiply ?16 ?18)
          [18, 17, 16] by distribute1 ?16 ?17 ?18
18592:  Id :  10, {_}:
          multiply (add ?20 ?21) ?22
          =<=
          add (multiply ?20 ?22) (multiply ?21 ?22)
          [22, 21, 20] by distribute2 ?20 ?21 ?22
18592:  Id :  11, {_}:
          add ?24 ?25 =<->= add ?25 ?24
          [25, 24] by commutativity_for_addition ?24 ?25
18592:  Id :  12, {_}:
          add ?27 (add ?28 ?29) =?= add (add ?27 ?28) ?29
          [29, 28, 27] by associativity_for_addition ?27 ?28 ?29
18592:  Id :  13, {_}:
          multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
          [32, 31] by right_alternative ?31 ?32
18592:  Id :  14, {_}:
          multiply (multiply ?34 ?34) ?35 =?= multiply ?34 (multiply ?34 ?35)
          [35, 34] by left_alternative ?34 ?35
18592:  Id :  15, {_}:
          associator ?37 ?38 ?39
          =<=
          add (multiply (multiply ?37 ?38) ?39)
            (additive_inverse (multiply ?37 (multiply ?38 ?39)))
          [39, 38, 37] by associator ?37 ?38 ?39
18592:  Id :  16, {_}:
          commutator ?41 ?42
          =<=
          add (multiply ?42 ?41) (additive_inverse (multiply ?41 ?42))
          [42, 41] by commutator ?41 ?42
18592:  Id :  17, {_}:
          multiply (additive_inverse ?44) (additive_inverse ?45)
          =>=
          multiply ?44 ?45
          [45, 44] by product_of_inverses ?44 ?45
18592:  Id :  18, {_}:
          multiply (additive_inverse ?47) ?48
          =>=
          additive_inverse (multiply ?47 ?48)
          [48, 47] by inverse_product1 ?47 ?48
18592:  Id :  19, {_}:
          multiply ?50 (additive_inverse ?51)
          =>=
          additive_inverse (multiply ?50 ?51)
          [51, 50] by inverse_product2 ?50 ?51
18592:  Id :  20, {_}:
          multiply ?53 (add ?54 (additive_inverse ?55))
          =<=
          add (multiply ?53 ?54) (additive_inverse (multiply ?53 ?55))
          [55, 54, 53] by distributivity_of_difference1 ?53 ?54 ?55
18592:  Id :  21, {_}:
          multiply (add ?57 (additive_inverse ?58)) ?59
          =<=
          add (multiply ?57 ?59) (additive_inverse (multiply ?58 ?59))
          [59, 58, 57] by distributivity_of_difference2 ?57 ?58 ?59
18592:  Id :  22, {_}:
          multiply (additive_inverse ?61) (add ?62 ?63)
          =<=
          add (additive_inverse (multiply ?61 ?62))
            (additive_inverse (multiply ?61 ?63))
          [63, 62, 61] by distributivity_of_difference3 ?61 ?62 ?63
18592:  Id :  23, {_}:
          multiply (add ?65 ?66) (additive_inverse ?67)
          =<=
          add (additive_inverse (multiply ?65 ?67))
            (additive_inverse (multiply ?66 ?67))
          [67, 66, 65] by distributivity_of_difference4 ?65 ?66 ?67
18592: Goal:
18592:  Id :   1, {_}:
          add (associator (multiply x y) z w) (associator x y (commutator z w))
          =>=
          add (multiply x (associator y z w)) (multiply (associator x z w) y)
          [] by prove_challenge
% SZS status Timeout for RNG033-7.p
18634: Facts:
18634:  Id :   2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
18634:  Id :   3, {_}:
          add ?4 additive_identity =>= ?4
          [4] by right_additive_identity ?4
18634:  Id :   4, {_}:
          multiply additive_identity ?6 =>= additive_identity
          [6] by left_multiplicative_zero ?6
18634:  Id :   5, {_}:
          multiply ?8 additive_identity =>= additive_identity
          [8] by right_multiplicative_zero ?8
18634:  Id :   6, {_}:
          add (additive_inverse ?10) ?10 =>= additive_identity
          [10] by left_additive_inverse ?10
18634:  Id :   7, {_}:
          add ?12 (additive_inverse ?12) =>= additive_identity
          [12] by right_additive_inverse ?12
18634:  Id :   8, {_}:
          additive_inverse (additive_inverse ?14) =>= ?14
          [14] by additive_inverse_additive_inverse ?14
18634:  Id :   9, {_}:
          multiply ?16 (add ?17 ?18)
          =<=
          add (multiply ?16 ?17) (multiply ?16 ?18)
          [18, 17, 16] by distribute1 ?16 ?17 ?18
18634:  Id :  10, {_}:
          multiply (add ?20 ?21) ?22
          =<=
          add (multiply ?20 ?22) (multiply ?21 ?22)
          [22, 21, 20] by distribute2 ?20 ?21 ?22
18634:  Id :  11, {_}:
          add ?24 ?25 =<->= add ?25 ?24
          [25, 24] by commutativity_for_addition ?24 ?25
18634:  Id :  12, {_}:
          add ?27 (add ?28 ?29) =?= add (add ?27 ?28) ?29
          [29, 28, 27] by associativity_for_addition ?27 ?28 ?29
18634:  Id :  13, {_}:
          multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
          [32, 31] by right_alternative ?31 ?32
18634:  Id :  14, {_}:
          multiply (multiply ?34 ?34) ?35 =?= multiply ?34 (multiply ?34 ?35)
          [35, 34] by left_alternative ?34 ?35
18634:  Id :  15, {_}:
          associator ?37 ?38 ?39
          =<=
          add (multiply (multiply ?37 ?38) ?39)
            (additive_inverse (multiply ?37 (multiply ?38 ?39)))
          [39, 38, 37] by associator ?37 ?38 ?39
18634:  Id :  16, {_}:
          commutator ?41 ?42
          =<=
          add (multiply ?42 ?41) (additive_inverse (multiply ?41 ?42))
          [42, 41] by commutator ?41 ?42
18634:  Id :  17, {_}:
          multiply ?44 (multiply ?45 (multiply ?46 ?45))
          =?=
          multiply (multiply (multiply ?44 ?45) ?46) ?45
          [46, 45, 44] by right_moufang ?44 ?45 ?46
18634: Goal:
18634:  Id :   1, {_}:
          add (associator (multiply x y) z w) (associator x y (commutator z w))
          =>=
          add (multiply x (associator y z w)) (multiply (associator x z w) y)
          [] by prove_challenge
% SZS status Timeout for RNG033-8.p
18653: Facts:
18653:  Id :   2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
18653:  Id :   3, {_}:
          add ?4 additive_identity =>= ?4
          [4] by right_additive_identity ?4
18653:  Id :   4, {_}:
          multiply additive_identity ?6 =>= additive_identity
          [6] by left_multiplicative_zero ?6
18653:  Id :   5, {_}:
          multiply ?8 additive_identity =>= additive_identity
          [8] by right_multiplicative_zero ?8
18653:  Id :   6, {_}:
          add (additive_inverse ?10) ?10 =>= additive_identity
          [10] by left_additive_inverse ?10
18653:  Id :   7, {_}:
          add ?12 (additive_inverse ?12) =>= additive_identity
          [12] by right_additive_inverse ?12
18653:  Id :   8, {_}:
          additive_inverse (additive_inverse ?14) =>= ?14
          [14] by additive_inverse_additive_inverse ?14
18653:  Id :   9, {_}:
          multiply ?16 (add ?17 ?18)
          =<=
          add (multiply ?16 ?17) (multiply ?16 ?18)
          [18, 17, 16] by distribute1 ?16 ?17 ?18
18653:  Id :  10, {_}:
          multiply (add ?20 ?21) ?22
          =<=
          add (multiply ?20 ?22) (multiply ?21 ?22)
          [22, 21, 20] by distribute2 ?20 ?21 ?22
18653:  Id :  11, {_}:
          add ?24 ?25 =<->= add ?25 ?24
          [25, 24] by commutativity_for_addition ?24 ?25
18653:  Id :  12, {_}:
          add ?27 (add ?28 ?29) =?= add (add ?27 ?28) ?29
          [29, 28, 27] by associativity_for_addition ?27 ?28 ?29
18653:  Id :  13, {_}:
          multiply (multiply ?31 ?32) ?32 =?= multiply ?31 (multiply ?32 ?32)
          [32, 31] by right_alternative ?31 ?32
18653:  Id :  14, {_}:
          multiply (multiply ?34 ?34) ?35 =?= multiply ?34 (multiply ?34 ?35)
          [35, 34] by left_alternative ?34 ?35
18653:  Id :  15, {_}:
          associator ?37 ?38 ?39
          =<=
          add (multiply (multiply ?37 ?38) ?39)
            (additive_inverse (multiply ?37 (multiply ?38 ?39)))
          [39, 38, 37] by associator ?37 ?38 ?39
18653:  Id :  16, {_}:
          commutator ?41 ?42
          =<=
          add (multiply ?42 ?41) (additive_inverse (multiply ?41 ?42))
          [42, 41] by commutator ?41 ?42
18653:  Id :  17, {_}:
          multiply (additive_inverse ?44) (additive_inverse ?45)
          =>=
          multiply ?44 ?45
          [45, 44] by product_of_inverses ?44 ?45
18653:  Id :  18, {_}:
          multiply (additive_inverse ?47) ?48
          =>=
          additive_inverse (multiply ?47 ?48)
          [48, 47] by inverse_product1 ?47 ?48
18653:  Id :  19, {_}:
          multiply ?50 (additive_inverse ?51)
          =>=
          additive_inverse (multiply ?50 ?51)
          [51, 50] by inverse_product2 ?50 ?51
18653:  Id :  20, {_}:
          multiply ?53 (add ?54 (additive_inverse ?55))
          =<=
          add (multiply ?53 ?54) (additive_inverse (multiply ?53 ?55))
          [55, 54, 53] by distributivity_of_difference1 ?53 ?54 ?55
18653:  Id :  21, {_}:
          multiply (add ?57 (additive_inverse ?58)) ?59
          =<=
          add (multiply ?57 ?59) (additive_inverse (multiply ?58 ?59))
          [59, 58, 57] by distributivity_of_difference2 ?57 ?58 ?59
18653:  Id :  22, {_}:
          multiply (additive_inverse ?61) (add ?62 ?63)
          =<=
          add (additive_inverse (multiply ?61 ?62))
            (additive_inverse (multiply ?61 ?63))
          [63, 62, 61] by distributivity_of_difference3 ?61 ?62 ?63
18653:  Id :  23, {_}:
          multiply (add ?65 ?66) (additive_inverse ?67)
          =<=
          add (additive_inverse (multiply ?65 ?67))
            (additive_inverse (multiply ?66 ?67))
          [67, 66, 65] by distributivity_of_difference4 ?65 ?66 ?67
18653:  Id :  24, {_}:
          multiply ?69 (multiply ?70 (multiply ?71 ?70))
          =?=
          multiply (multiply (multiply ?69 ?70) ?71) ?70
          [71, 70, 69] by right_moufang ?69 ?70 ?71
18653: Goal:
18653:  Id :   1, {_}:
          add (associator (multiply x y) z w) (associator x y (commutator z w))
          =>=
          add (multiply x (associator y z w)) (multiply (associator x z w) y)
          [] by prove_challenge
% SZS status Timeout for RNG033-9.p
18692: Facts:
18692:  Id :   2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
18692:  Id :   3, {_}:
          add ?4 additive_identity =>= ?4
          [4] by right_additive_identity ?4
18692:  Id :   4, {_}:
          add (additive_inverse ?6) ?6 =>= additive_identity
          [6] by left_additive_inverse ?6
18692:  Id :   5, {_}:
          add ?8 (additive_inverse ?8) =>= additive_identity
          [8] by right_additive_inverse ?8
18692:  Id :   6, {_}:
          add ?10 (add ?11 ?12) =?= add (add ?10 ?11) ?12
          [12, 11, 10] by associativity_for_addition ?10 ?11 ?12
18692:  Id :   7, {_}:
          add ?14 ?15 =<->= add ?15 ?14
          [15, 14] by commutativity_for_addition ?14 ?15
18692:  Id :   8, {_}:
          multiply ?17 (multiply ?18 ?19) =?= multiply (multiply ?17 ?18) ?19
          [19, 18, 17] by associativity_for_multiplication ?17 ?18 ?19
18692:  Id :   9, {_}:
          multiply ?21 (add ?22 ?23)
          =<=
          add (multiply ?21 ?22) (multiply ?21 ?23)
          [23, 22, 21] by distribute1 ?21 ?22 ?23
18692:  Id :  10, {_}:
          multiply (add ?25 ?26) ?27
          =<=
          add (multiply ?25 ?27) (multiply ?26 ?27)
          [27, 26, 25] by distribute2 ?25 ?26 ?27
18692:  Id :  11, {_}:
          multiply ?29 (multiply ?29 (multiply ?29 ?29)) =>= ?29
          [29] by x_fourthed_is_x ?29
18692:  Id :  12, {_}: multiply a b =>= c [] by a_times_b_is_c
18692: Goal:
18692:  Id :   1, {_}: multiply b a =>= c [] by prove_commutativity
% SZS status Timeout for RNG035-7.p
18715: Facts:
18715:  Id :   2, {_}: add additive_identity ?2 =>= ?2 [2] by left_additive_identity ?2
18715:  Id :   3, {_}:
          add ?4 additive_identity =>= ?4
          [4] by right_additive_identity ?4
18715:  Id :   4, {_}:
          add (additive_inverse ?6) ?6 =>= additive_identity
          [6] by left_additive_inverse ?6
18715:  Id :   5, {_}:
          add ?8 (additive_inverse ?8) =>= additive_identity
          [8] by right_additive_inverse ?8
18715:  Id :   6, {_}:
          add ?10 (add ?11 ?12) =?= add (add ?10 ?11) ?12
          [12, 11, 10] by associativity_for_addition ?10 ?11 ?12
18715:  Id :   7, {_}:
          add ?14 ?15 =<->= add ?15 ?14
          [15, 14] by commutativity_for_addition ?14 ?15
18715:  Id :   8, {_}:
          multiply ?17 (multiply ?18 ?19) =?= multiply (multiply ?17 ?18) ?19
          [19, 18, 17] by associativity_for_multiplication ?17 ?18 ?19
18715:  Id :   9, {_}:
          multiply ?21 (add ?22 ?23)
          =<=
          add (multiply ?21 ?22) (multiply ?21 ?23)
          [23, 22, 21] by distribute1 ?21 ?22 ?23
18715:  Id :  10, {_}:
          multiply (add ?25 ?26) ?27
          =<=
          add (multiply ?25 ?27) (multiply ?26 ?27)
          [27, 26, 25] by distribute2 ?25 ?26 ?27
18715:  Id :  11, {_}:
          multiply ?29 (multiply ?29 (multiply ?29 (multiply ?29 ?29))) =>= ?29
          [29] by x_fifthed_is_x ?29
18715:  Id :  12, {_}: multiply a b =>= c [] by a_times_b_is_c
18715: Goal:
18715:  Id :   1, {_}: multiply b a =>= c [] by prove_commutativity
% SZS status Timeout for RNG036-7.p
18765: Facts:
18765:  Id :   2, {_}: add ?2 ?3 =<->= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
18765:  Id :   3, {_}:
          add (add ?5 ?6) ?7 =?= add ?5 (add ?6 ?7)
          [7, 6, 5] by associativity_of_add ?5 ?6 ?7
18765:  Id :   4, {_}:
          negate (add (negate (add ?9 ?10)) (negate (add ?9 (negate ?10))))
          =>=
          ?9
          [10, 9] by robbins_axiom ?9 ?10
18765: Goal:
18765:  Id :   1, {_}:
          add (negate (add a (negate b))) (negate (add (negate a) (negate b)))
          =>=
          b
          [] by prove_huntingtons_axiom
% SZS status Timeout for ROB001-1.p
18785: Facts:
18785:  Id :   2, {_}: add ?2 ?3 =<->= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
18785:  Id :   3, {_}:
          add (add ?5 ?6) ?7 =?= add ?5 (add ?6 ?7)
          [7, 6, 5] by associativity_of_add ?5 ?6 ?7
18785:  Id :   4, {_}:
          negate (add (negate (add ?9 ?10)) (negate (add ?9 (negate ?10))))
          =>=
          ?9
          [10, 9] by robbins_axiom ?9 ?10
18785:  Id :   5, {_}: add c c =>= c [] by idempotence
18785: Goal:
18785:  Id :   1, {_}:
          add (negate (add a (negate b))) (negate (add (negate a) (negate b)))
          =>=
          b
          [] by prove_huntingtons_axiom
% SZS status Timeout for ROB005-1.p
18815: Facts:
18815:  Id :   2, {_}: add ?2 ?3 =<->= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
18815:  Id :   3, {_}:
          add (add ?5 ?6) ?7 =?= add ?5 (add ?6 ?7)
          [7, 6, 5] by associativity_of_add ?5 ?6 ?7
18815:  Id :   4, {_}:
          negate (add (negate (add ?9 ?10)) (negate (add ?9 (negate ?10))))
          =>=
          ?9
          [10, 9] by robbins_axiom ?9 ?10
18815:  Id :   5, {_}: add c d =>= d [] by absorbtion
18815: Goal:
18815:  Id :   1, {_}:
          add (negate (add a (negate b))) (negate (add (negate a) (negate b)))
          =>=
          b
          [] by prove_huntingtons_axiom
% SZS status Timeout for ROB006-1.p
18835: Facts:
18835:  Id :   2, {_}: add ?3 ?4 =<->= add ?4 ?3 [4, 3] by commutativity_of_add ?3 ?4
18835:  Id :   3, {_}:
          add (add ?6 ?7) ?8 =?= add ?6 (add ?7 ?8)
          [8, 7, 6] by associativity_of_add ?6 ?7 ?8
18835:  Id :   4, {_}:
          negate (add (negate (add ?10 ?11)) (negate (add ?10 (negate ?11))))
          =>=
          ?10
          [11, 10] by robbins_axiom ?10 ?11
18835:  Id :   5, {_}: add c d =>= d [] by absorbtion
18835: Goal:
18835:  Id :   1, {_}: add ?1 ?1 =>= ?1 [1] by prove_idempotence ?1
% SZS status Timeout for ROB006-2.p
19013: Facts:
19013:  Id :   2, {_}: add ?2 ?3 =<->= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
19013:  Id :   3, {_}:
          add (add ?5 ?6) ?7 =?= add ?5 (add ?6 ?7)
          [7, 6, 5] by associativity_of_add ?5 ?6 ?7
19013:  Id :   4, {_}:
          negate (add (negate (add ?9 ?10)) (negate (add ?9 (negate ?10))))
          =>=
          ?9
          [10, 9] by robbins_axiom ?9 ?10
19013:  Id :   5, {_}: negate (add a b) =>= negate b [] by condition
19013: Goal:
19013:  Id :   1, {_}:
          add (negate (add a (negate b))) (negate (add (negate a) (negate b)))
          =>=
          b
          [] by prove_huntingtons_axiom
% SZS status Timeout for ROB007-1.p
19034: Facts:
19034:  Id :   2, {_}: add ?3 ?4 =<->= add ?4 ?3 [4, 3] by commutativity_of_add ?3 ?4
19034:  Id :   3, {_}:
          add (add ?6 ?7) ?8 =?= add ?6 (add ?7 ?8)
          [8, 7, 6] by associativity_of_add ?6 ?7 ?8
19034:  Id :   4, {_}:
          negate (add (negate (add ?10 ?11)) (negate (add ?10 (negate ?11))))
          =>=
          ?10
          [11, 10] by robbins_axiom ?10 ?11
19034:  Id :   5, {_}: negate (add a b) =>= negate b [] by condition
19034: Goal:
19034:  Id :   1, {_}: add ?1 ?1 =>= ?1 [1] by prove_idempotence ?1
% SZS status Timeout for ROB007-2.p
19076: Facts:
19076:  Id :   2, {_}: add ?2 ?3 =<->= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
19076:  Id :   3, {_}:
          add (add ?5 ?6) ?7 =?= add ?5 (add ?6 ?7)
          [7, 6, 5] by associativity_of_add ?5 ?6 ?7
19076:  Id :   4, {_}:
          negate (add (negate (add ?9 ?10)) (negate (add ?9 (negate ?10))))
          =>=
          ?9
          [10, 9] by robbins_axiom ?9 ?10
19076:  Id :   5, {_}: negate (add a (negate b)) =>= b [] by condition1
19076: Goal:
19076:  Id :   1, {_}:
          add (negate (add a (negate b))) (negate (add (negate a) (negate b)))
          =>=
          b
          [] by prove_huntingtons_axiom
% SZS status Timeout for ROB020-1.p
19097: Facts:
19097:  Id :   2, {_}: add ?3 ?4 =<->= add ?4 ?3 [4, 3] by commutativity_of_add ?3 ?4
19097:  Id :   3, {_}:
          add (add ?6 ?7) ?8 =?= add ?6 (add ?7 ?8)
          [8, 7, 6] by associativity_of_add ?6 ?7 ?8
19097:  Id :   4, {_}:
          negate (add (negate (add ?10 ?11)) (negate (add ?10 (negate ?11))))
          =>=
          ?10
          [11, 10] by robbins_axiom ?10 ?11
19097:  Id :   5, {_}: negate (add a (negate b)) =>= b [] by condition1
19097: Goal:
19097:  Id :   1, {_}: add ?1 ?1 =>= ?1 [1] by prove_idempotence ?1
% SZS status Timeout for ROB020-2.p
19127: Facts:
19127:  Id :   2, {_}: add ?2 ?3 =<->= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
19127:  Id :   3, {_}:
          add (add ?5 ?6) ?7 =?= add ?5 (add ?6 ?7)
          [7, 6, 5] by associativity_of_add ?5 ?6 ?7
19127:  Id :   4, {_}:
          negate (add (negate (add ?9 ?10)) (negate (add ?9 (negate ?10))))
          =>=
          ?9
          [10, 9] by robbins_axiom ?9 ?10
19127:  Id :   5, {_}:
          negate (add (negate (add a (add a b))) (negate (add a (negate b))))
          =>=
          a
          [] by the_condition
19127: Goal:
19127:  Id :   1, {_}:
          add (negate (add a (negate b))) (negate (add (negate a) (negate b)))
          =>=
          b
          [] by prove_huntingtons_axiom
% SZS status Timeout for ROB024-1.p
19150: Facts:
19150:  Id :   2, {_}: add ?2 ?3 =<->= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
19150:  Id :   3, {_}:
          add (add ?5 ?6) ?7 =?= add ?5 (add ?6 ?7)
          [7, 6, 5] by associativity_of_add ?5 ?6 ?7
19150:  Id :   4, {_}:
          negate (add (negate (add ?9 ?10)) (negate (add ?9 (negate ?10))))
          =>=
          ?9
          [10, 9] by robbins_axiom ?9 ?10
19150:  Id :   5, {_}: add c d =>= c [] by identity_constant
19150: Goal:
19150:  Id :   1, {_}:
          add (negate (add a (negate b))) (negate (add (negate a) (negate b)))
          =>=
          b
          [] by prove_huntingtons_axiom
% SZS status Timeout for ROB026-1.p
19181: Facts:
19181:  Id :   2, {_}: add ?2 ?3 =<->= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
19181:  Id :   3, {_}:
          add (add ?5 ?6) ?7 =?= add ?5 (add ?6 ?7)
          [7, 6, 5] by associativity_of_add ?5 ?6 ?7
19181:  Id :   4, {_}:
          negate (add (negate (add ?9 ?10)) (negate (add ?9 (negate ?10))))
          =>=
          ?9
          [10, 9] by robbins_axiom ?9 ?10
19181:  Id :   5, {_}: negate (negate c) =>= c [] by double_negation
19181: Goal:
19181:  Id :   1, {_}:
          add (negate (add a (negate b))) (negate (add (negate a) (negate b)))
          =>=
          b
          [] by prove_huntingtons_axiom
% SZS status Timeout for ROB027-1.p
19200: Facts:
19200:  Id :   2, {_}: add ?4 ?5 =<->= add ?5 ?4 [5, 4] by commutativity_of_add ?4 ?5
19200:  Id :   3, {_}:
          add (add ?7 ?8) ?9 =?= add ?7 (add ?8 ?9)
          [9, 8, 7] by associativity_of_add ?7 ?8 ?9
19200:  Id :   4, {_}:
          negate (add (negate (add ?11 ?12)) (negate (add ?11 (negate ?12))))
          =>=
          ?11
          [12, 11] by robbins_axiom ?11 ?12
19200: Goal:
19200:  Id :   1, {_}:
          negate (add ?1 ?2) =>= negate ?2
          [2, 1] by prove_absorption_within_negation ?1 ?2
% SZS status Timeout for ROB031-1.p
19230: Facts:
19230:  Id :   2, {_}: add ?4 ?5 =<->= add ?5 ?4 [5, 4] by commutativity_of_add ?4 ?5
19230:  Id :   3, {_}:
          add (add ?7 ?8) ?9 =?= add ?7 (add ?8 ?9)
          [9, 8, 7] by associativity_of_add ?7 ?8 ?9
19230:  Id :   4, {_}:
          negate (add (negate (add ?11 ?12)) (negate (add ?11 (negate ?12))))
          =>=
          ?11
          [12, 11] by robbins_axiom ?11 ?12
19230: Goal:
19230:  Id :   1, {_}: add ?1 ?2 =>= ?2 [2, 1] by prove_absorbtion ?1 ?2
% SZS status Timeout for ROB032-1.p
19250: Facts:
19250:  Id :   2, {_}: f (g1 ?3) =>= ?3 [3] by clause1 ?3
19250:  Id :   3, {_}: f (g2 ?5) =>= ?5 [5] by clause2 ?5
19250: Goal:
19250:  Id :   1, {_}: g1 ?1 =<= g2 ?1 [1] by clause3 ?1
!! infer_left                                       2    0.0000    0.0000    0.0000
!! infer_right                                      2    0.0001    0.0001    0.0001
!! simplify_goal                                    2    0.0000    0.0000    0.0000
!! keep_simplified                                  2    0.0001    0.0001    0.0000
!! simplification_step                              2    0.0001    0.0000    0.0000
!! simplify                                         5    0.0001    0.0000    0.0000
!! orphan_murder                                    2    0.0000    0.0000    0.0000
!! deep_eq                                          2    0.0000    0.0000    0.0000
!! is_subsumed                                      3    0.0000    0.0000    0.0000
!! build_new_clause                                 2    0.0000    0.0000    0.0000
!! demodulate                                       5    0.0001    0.0000    0.0000
!! demod                                           10    0.0000    0.0000    0.0000
!! demod.retrieve_generalizations                  10    0.0000    0.0000    0.0000
!! build_clause                                     2    0.0000    0.0000    0.0000
!! compare_terms(nrkbo)                             5    0.0000    0.0000    0.0000
!! compare_terms(nrkbo)                             3    0.0001    0.0000    0.0000
!! infer_left                                       2    0.0000    0.0000    0.0000
!! infer_right                                      2    0.0001    0.0001    0.0001
!! simplify_goal                                    2    0.0001    0.0000    0.0000
!! keep_simplified                                  2    0.0001    0.0001    0.0001
!! simplification_step                              2    0.0001    0.0001    0.0000
!! simplify                                         5    0.0001    0.0000    0.0000
!! orphan_murder                                    2    0.0000    0.0000    0.0000
!! deep_eq                                          2    0.0000    0.0000    0.0000
!! is_subsumed                                      3    0.0000    0.0000    0.0000
!! build_new_clause                                 2    0.0000    0.0000    0.0000
!! demodulate                                       5    0.0001    0.0000    0.0000
!! demod                                           10    0.0000    0.0000    0.0000
!! demod.retrieve_generalizations                  10    0.0000    0.0000    0.0000
!! build_clause                                     2    0.0000    0.0000    0.0000
!! compare_terms(kbo)                               5    0.0000    0.0000    0.0000
!! compare_terms(nrkbo)                             3    0.0000    0.0000    0.0000
!! infer_left                                       2    0.0000    0.0000    0.0000
!! infer_right                                      2    0.0001    0.0001    0.0001
!! simplify_goal                                    2    0.0001    0.0000    0.0000
!! keep_simplified                                  2    0.0001    0.0001    0.0001
!! simplification_step                              2    0.0001    0.0001    0.0001
!! simplify                                         5    0.0001    0.0000    0.0000
!! orphan_murder                                    2    0.0000    0.0000    0.0000
!! deep_eq                                          2    0.0000    0.0000    0.0000
!! is_subsumed                                      3    0.0000    0.0000    0.0000
!! build_new_clause                                 2    0.0000    0.0000    0.0000
!! demodulate                                       5    0.0001    0.0000    0.0000
!! demod                                           10    0.0000    0.0000    0.0000
!! demod.retrieve_generalizations                  10    0.0000    0.0000    0.0000
!! build_clause                                     2    0.0000    0.0000    0.0000
!! compare_terms(lpo)                               5    0.0000    0.0000    0.0000
!! compare_terms(nrkbo)                             3    0.0001    0.0000    0.0000
!! infer_left                                       1    0.0000    0.0000    0.0000
!! infer_right                                      2    0.0001    0.0001    0.0001
!! simplify_goal                                    1    0.0000    0.0000    0.0000
!! keep_simplified                                  2    0.0001    0.0001    0.0001
!! simplification_step                              2    0.0001    0.0001    0.0000
!! simplify                                         5    0.0001    0.0000    0.0000
!! orphan_murder                                    2    0.0000    0.0000    0.0000
!! deep_eq                                          1    0.0000    0.0000    0.0000
!! is_subsumed                                      3    0.0000    0.0000    0.0000
!! build_new_clause                                 2    0.0000    0.0000    0.0000
!! demodulate                                       4    0.0001    0.0000    0.0000
!! demod                                            8    0.0000    0.0000    0.0000
!! demod.retrieve_generalizations                   8    0.0000    0.0000    0.0000
!! build_clause                                     2    0.0000    0.0000    0.0000
!! compare_terms(nrkbo)                             5    0.0000    0.0000    0.0000
!! compare_terms(nrkbo)                             3    0.0001    0.0000    0.0000
% SZS status Timeout for SYN305-1.p