X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FRNG026-7.ma;h=07dd22f52a92f7637432a8343b6427b69f878209;hb=e880d6eab5e1700f4a625ddcd7d0fa8f0cce2dcc;hp=08863a0dafc0c654f79ac0527a3292b41f15c4de;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/RNG026-7.ma b/helm/software/matita/contribs/ng_TPTP/RNG026-7.ma index 08863a0da..07dd22f52 100644 --- a/helm/software/matita/contribs/ng_TPTP/RNG026-7.ma +++ b/helm/software/matita/contribs/ng_TPTP/RNG026-7.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : RNG026-7 : TPTP v3.2.0. Released v1.0.0. *) +(* File : RNG026-7 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Ring Theory (Alternative) *) @@ -22,7 +22,7 @@ include "logic/equality.ma". (* Status : Unsatisfiable *) -(* Rating : 0.43 v3.2.0, 0.50 v3.1.0, 0.33 v2.7.0, 0.64 v2.6.0, 0.50 v2.5.0, 0.25 v2.4.0, 0.67 v2.2.1, 0.89 v2.2.0, 0.86 v2.1.0, 1.00 v2.0.0 *) +(* Rating : 0.56 v3.4.0, 0.62 v3.3.0, 0.43 v3.2.0, 0.50 v3.1.0, 0.33 v2.7.0, 0.64 v2.6.0, 0.50 v2.5.0, 0.25 v2.4.0, 0.67 v2.2.1, 0.89 v2.2.0, 0.86 v2.1.0, 1.00 v2.0.0 *) (* Syntax : Number of clauses : 23 ( 0 non-Horn; 23 unit; 1 RR) *) @@ -48,7 +48,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : RNG003-0 : TPTP v3.2.0. Released v1.0.0. *) +(* File : RNG003-0 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Ring Theory (Alternative) *) @@ -68,7 +68,7 @@ include "logic/equality.ma". (* Syntax : Number of clauses : 15 ( 0 non-Horn; 15 unit; 0 RR) *) -(* Number of literals : 15 ( 15 equality) *) +(* Number of atoms : 15 ( 15 equality) *) (* Maximal clause size : 1 ( 1 average) *) @@ -112,7 +112,7 @@ include "logic/equality.ma". (* ----The next 7 clause are extra lemmas which Stevens found useful *) ntheorem prove_teichmuller_identity: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀a:Univ. ∀add:∀_:Univ.∀_:Univ.Univ. ∀additive_identity:Univ. @@ -144,45 +144,46 @@ ntheorem prove_teichmuller_identity: ∀H18:∀X:Univ.eq Univ (multiply X additive_identity) additive_identity. ∀H19:∀X:Univ.eq Univ (multiply additive_identity X) additive_identity. ∀H20:∀X:Univ.eq Univ (add X additive_identity) X. -∀H21:∀X:Univ.eq Univ (add additive_identity X) X.eq Univ (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 +∀H21:∀X:Univ.eq Univ (add additive_identity X) X.eq Univ (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) . -#Univ. -#X. -#Y. -#Z. -#a. -#add. -#additive_identity. -#additive_inverse. -#associator. -#b. -#c. -#commutator. -#d. -#multiply. -#H0. -#H1. -#H2. -#H3. -#H4. -#H5. -#H6. -#H7. -#H8. -#H9. -#H10. -#H11. -#H12. -#H13. -#H14. -#H15. -#H16. -#H17. -#H18. -#H19. -#H20. -#H21. -nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13,H14,H15,H16,H17,H18,H19,H20,H21; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#add ##. +#additive_identity ##. +#additive_inverse ##. +#associator ##. +#b ##. +#c ##. +#commutator ##. +#d ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +#H6 ##. +#H7 ##. +#H8 ##. +#H9 ##. +#H10 ##. +#H11 ##. +#H12 ##. +#H13 ##. +#H14 ##. +#H15 ##. +#H16 ##. +#H17 ##. +#H18 ##. +#H19 ##. +#H20 ##. +#H21 ##. +nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13,H14,H15,H16,H17,H18,H19,H20,H21 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)