X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP014-1.ma;h=a3a196e75bcf7f7fb1d650f3a0277319868108b8;hb=c22f39a5d5afc0ef55beb221e00e2e6703b13d90;hp=aa83df8bcbf0102fc4403d0dcd0c458d2961c1ad;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP014-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP014-1.ma index aa83df8bc..a3a196e75 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP014-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP014-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : GRP014-1 : TPTP v3.2.0. Released v1.0.0. *) +(* File : GRP014-1 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Group Theory *) @@ -34,7 +34,7 @@ include "logic/equality.ma". (* Status : Unsatisfiable *) -(* Rating : 0.07 v3.2.0, 0.14 v3.1.0, 0.11 v2.7.0, 0.18 v2.6.0, 0.00 v2.2.1, 0.33 v2.2.0, 0.43 v2.1.0, 0.50 v2.0.0 *) +(* Rating : 0.22 v3.4.0, 0.25 v3.3.0, 0.07 v3.2.0, 0.14 v3.1.0, 0.11 v2.7.0, 0.18 v2.6.0, 0.00 v2.2.1, 0.33 v2.2.0, 0.43 v2.1.0, 0.50 v2.0.0 *) (* Syntax : Number of clauses : 2 ( 0 non-Horn; 2 unit; 1 RR) *) @@ -56,26 +56,27 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_associativity: - ∀Univ:Type.∀W:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀W:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀a:Univ. ∀b:Univ. ∀c:Univ. ∀inverse:∀_:Univ.Univ. ∀multiply:∀_:Univ.∀_:Univ.Univ. -∀H0:∀W:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply X (inverse (multiply (multiply (inverse (multiply (inverse Y) (multiply (inverse X) W))) Z) (inverse (multiply Y Z))))) W.eq Univ (multiply a (multiply b c)) (multiply (multiply a b) c) +∀H0:∀W:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply X (inverse (multiply (multiply (inverse (multiply (inverse Y) (multiply (inverse X) W))) Z) (inverse (multiply Y Z))))) W.eq Univ (multiply a (multiply b c)) (multiply (multiply a b) c)) . -#Univ. -#W. -#X. -#Y. -#Z. -#a. -#b. -#c. -#inverse. -#multiply. -#H0. -nauto by H0; +#Univ ##. +#W ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#b ##. +#c ##. +#inverse ##. +#multiply ##. +#H0 ##. +nauto by H0 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)