X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP410-1.ma;h=0a471b5a53f751196ff841fd885cce580ce48d79;hb=e880d6eab5e1700f4a625ddcd7d0fa8f0cce2dcc;hp=fae41be084f540b94b6b82115535f40634698d2b;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP410-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP410-1.ma index fae41be08..0a471b5a5 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP410-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP410-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : GRP410-1 : TPTP v3.2.0. Released v2.6.0. *) +(* File : GRP410-1 : TPTP v3.7.0. Released v2.6.0. *) (* Domain : Group Theory *) @@ -24,7 +24,7 @@ include "logic/equality.ma". (* Status : Unsatisfiable *) -(* Rating : 0.21 v3.1.0, 0.22 v2.7.0, 0.18 v2.6.0 *) +(* Rating : 0.22 v3.4.0, 0.25 v3.3.0, 0.21 v3.1.0, 0.22 v2.7.0, 0.18 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 (multiply (multiply (inverse (multiply A (inverse (multiply B C)))) (multiply A (inverse C))) (inverse (multiply (inverse C) C))) B.eq Univ (multiply (multiply (inverse b2) b2) a2) a2 +∀H0:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (multiply (multiply (inverse (multiply A (inverse (multiply B C)))) (multiply A (inverse C))) (inverse (multiply (inverse C) C))) B.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. (* -------------------------------------------------------------------------- *)