X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP495-1.ma;h=063b38cb6331274295f82e9a5dc8ff684c03f4d6;hb=f538a0b46ba4164a21a76e47a6ed3b3e9deb5041;hp=87aa0e17f8d6766e4649c3cbbfb2fe59597e2963;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP495-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP495-1.ma index 87aa0e17f..063b38cb6 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP495-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP495-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : GRP495-1 : TPTP v3.2.0. Released v2.6.0. *) +(* File : GRP495-1 : TPTP v3.7.0. Released v2.6.0. *) (* Domain : Group Theory *) @@ -22,7 +22,7 @@ include "logic/equality.ma". (* Status : Unsatisfiable *) -(* Rating : 0.00 v2.6.0 *) +(* Rating : 0.00 v3.4.0, 0.12 v3.3.0, 0.00 v2.6.0 *) (* Syntax : Number of clauses : 5 ( 0 non-Horn; 5 unit; 1 RR) *) @@ -42,7 +42,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_these_axioms_3: - ∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ. + (∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ. ∀a3:Univ. ∀b3:Univ. ∀c3:Univ. @@ -53,24 +53,25 @@ ntheorem prove_these_axioms_3: ∀H0:∀A:Univ.eq Univ identity (double_divide A (inverse A)). ∀H1:∀A:Univ.eq Univ (inverse A) (double_divide A identity). ∀H2:∀A:Univ.∀B:Univ.eq Univ (multiply A B) (double_divide (double_divide B A) identity). -∀H3:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (double_divide (double_divide identity A) (double_divide (double_divide (double_divide B C) (double_divide identity identity)) (double_divide A C))) B.eq Univ (multiply (multiply a3 b3) c3) (multiply a3 (multiply b3 c3)) +∀H3:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (double_divide (double_divide identity A) (double_divide (double_divide (double_divide B C) (double_divide identity identity)) (double_divide A C))) B.eq Univ (multiply (multiply a3 b3) c3) (multiply a3 (multiply b3 c3))) . -#Univ. -#A. -#B. -#C. -#a3. -#b3. -#c3. -#double_divide. -#identity. -#inverse. -#multiply. -#H0. -#H1. -#H2. -#H3. -nauto by H0,H1,H2,H3; +#Univ ##. +#A ##. +#B ##. +#C ##. +#a3 ##. +#b3 ##. +#c3 ##. +#double_divide ##. +#identity ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +nauto by H0,H1,H2,H3 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)