X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP416-1.ma;h=ee97cc50ae56e28f476409146514717b8be7f3d2;hb=fd6372c8268d8dbe17810361bc870c6d8bcd5390;hp=2613f6f0d7c1729328e8a12eff416d53be2626ad;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP416-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP416-1.ma index 2613f6f0d..ee97cc50a 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP416-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP416-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : GRP416-1 : TPTP v3.2.0. Released v2.6.0. *) +(* File : GRP416-1 : TPTP v3.7.0. Released v2.6.0. *) (* Domain : Group Theory *) @@ -24,7 +24,7 @@ include "logic/equality.ma". (* Status : Unsatisfiable *) -(* Rating : 0.07 v3.1.0, 0.11 v2.7.0, 0.00 v2.6.0 *) +(* Rating : 0.11 v3.4.0, 0.12 v3.3.0, 0.07 v3.1.0, 0.11 v2.7.0, 0.00 v2.6.0 *) (* Syntax : Number of clauses : 2 ( 0 non-Horn; 2 unit; 1 RR) *) @@ -44,23 +44,24 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_these_axioms_2: - ∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ. + (∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ. ∀a2:Univ. ∀b2:Univ. ∀inverse:∀_:Univ.Univ. ∀multiply:∀_:Univ.∀_:Univ.Univ. -∀H0:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (inverse (multiply A (inverse (multiply (inverse (multiply (inverse (multiply B A)) (multiply B (inverse C)))) (inverse (multiply (inverse A) A)))))) C.eq Univ (multiply (multiply (inverse b2) b2) a2) a2 +∀H0:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (inverse (multiply A (inverse (multiply (inverse (multiply (inverse (multiply B A)) (multiply B (inverse C)))) (inverse (multiply (inverse A) A)))))) C.eq Univ (multiply (multiply (inverse b2) b2) a2) a2) . -#Univ. -#A. -#B. -#C. -#a2. -#b2. -#inverse. -#multiply. -#H0. -nauto by H0; +#Univ ##. +#A ##. +#B ##. +#C ##. +#a2 ##. +#b2 ##. +#inverse ##. +#multiply ##. +#H0 ##. +nauto by H0 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)