X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP167-5.ma;h=977752a75aefcffda6e81d1996ce7134f0b085bc;hb=5dcae34c6e44a40e236db641f59ddb096d1a16ec;hp=90256d155de197fd14919612370c867fb20d7684;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP167-5.ma b/helm/software/matita/contribs/ng_TPTP/GRP167-5.ma index 90256d155..977752a75 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP167-5.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP167-5.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : GRP167-5 : TPTP v3.2.0. Bugfixed v1.2.1. *) +(* File : GRP167-5 : TPTP v3.7.0. Bugfixed v1.2.1. *) (* Domain : Group Theory (Lattice Ordered) *) @@ -28,7 +28,7 @@ include "logic/equality.ma". (* Status : Unsatisfiable *) -(* Rating : 0.14 v3.1.0, 0.11 v2.7.0, 0.09 v2.6.0, 0.17 v2.5.0, 0.00 v2.2.1, 0.33 v2.2.0, 0.43 v2.1.0, 0.20 v2.0.0 *) +(* Rating : 0.11 v3.4.0, 0.12 v3.3.0, 0.14 v3.1.0, 0.11 v2.7.0, 0.09 v2.6.0, 0.17 v2.5.0, 0.00 v2.2.1, 0.33 v2.2.0, 0.43 v2.1.0, 0.20 v2.0.0 *) (* Syntax : Number of clauses : 21 ( 0 non-Horn; 21 unit; 1 RR) *) @@ -68,7 +68,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : GRP004-0 : TPTP v3.2.0. Released v1.0.0. *) +(* File : GRP004-0 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Group Theory *) @@ -92,7 +92,7 @@ include "logic/equality.ma". (* Syntax : Number of clauses : 3 ( 0 non-Horn; 3 unit; 0 RR) *) -(* Number of literals : 3 ( 3 equality) *) +(* Number of atoms : 3 ( 3 equality) *) (* Maximal clause size : 1 ( 1 average) *) @@ -134,7 +134,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : GRP004-2 : TPTP v3.2.0. Bugfixed v1.2.0. *) +(* File : GRP004-2 : TPTP v3.7.0. Bugfixed v1.2.0. *) (* Domain : Group Theory (Lattice Ordered) *) @@ -156,7 +156,7 @@ include "logic/equality.ma". (* Syntax : Number of clauses : 12 ( 0 non-Horn; 12 unit; 0 RR) *) -(* Number of literals : 12 ( 12 equality) *) +(* Number of atoms : 12 ( 12 equality) *) (* Maximal clause size : 1 ( 1 average) *) @@ -182,7 +182,7 @@ include "logic/equality.ma". (* ----Extra lemma *) ntheorem prove_lat4: - ∀Univ:Type.∀A:Univ.∀B:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀A:Univ.∀B:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀a:Univ. ∀greatest_lower_bound:∀_:Univ.∀_:Univ.Univ. ∀identity:Univ. @@ -210,43 +210,44 @@ ntheorem prove_lat4: ∀H16:∀X:Univ.∀Y:Univ.eq Univ (greatest_lower_bound X Y) (greatest_lower_bound Y X). ∀H17:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply X Y) Z) (multiply X (multiply Y Z)). ∀H18:∀X:Univ.eq Univ (multiply (inverse X) X) identity. -∀H19:∀X:Univ.eq Univ (multiply identity X) X.eq Univ a (multiply (positive_part a) (negative_part a)) +∀H19:∀X:Univ.eq Univ (multiply identity X) X.eq Univ a (multiply (positive_part a) (negative_part a))) . -#Univ. -#A. -#B. -#X. -#Y. -#Z. -#a. -#greatest_lower_bound. -#identity. -#inverse. -#least_upper_bound. -#multiply. -#negative_part. -#positive_part. -#H0. -#H1. -#H2. -#H3. -#H4. -#H5. -#H6. -#H7. -#H8. -#H9. -#H10. -#H11. -#H12. -#H13. -#H14. -#H15. -#H16. -#H17. -#H18. -#H19. -nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13,H14,H15,H16,H17,H18,H19; +#Univ ##. +#A ##. +#B ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#greatest_lower_bound ##. +#identity ##. +#inverse ##. +#least_upper_bound ##. +#multiply ##. +#negative_part ##. +#positive_part ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +#H6 ##. +#H7 ##. +#H8 ##. +#H9 ##. +#H10 ##. +#H11 ##. +#H12 ##. +#H13 ##. +#H14 ##. +#H15 ##. +#H16 ##. +#H17 ##. +#H18 ##. +#H19 ##. +nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13,H14,H15,H16,H17,H18,H19 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)