X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP550-1.ma;h=36df3ec1447d723be30ea4dc6fe281c529f549b4;hb=02e8b3eb9d2a8a3bb3942c41b47b6ac048efd5be;hp=cbaef27d1c3de1d6be677ac471977a281411f0df;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP550-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP550-1.ma index cbaef27d1..36df3ec14 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP550-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP550-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : GRP550-1 : TPTP v3.2.0. Released v2.6.0. *) +(* File : GRP550-1 : TPTP v3.7.0. Released v2.6.0. *) (* Domain : Group Theory (Abelian) *) @@ -22,7 +22,7 @@ include "logic/equality.ma". (* Status : Unsatisfiable *) -(* Rating : 0.07 v3.1.0, 0.11 v2.7.0, 0.00 v2.6.0 *) +(* Rating : 0.00 v3.3.0, 0.07 v3.1.0, 0.11 v2.7.0, 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_2: - ∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ. + (∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ. ∀a2:Univ. ∀b2:Univ. ∀divide:∀_:Univ.∀_:Univ.Univ. @@ -52,23 +52,24 @@ ntheorem prove_these_axioms_2: ∀H0:∀A:Univ.eq Univ identity (divide A A). ∀H1:∀A:Univ.eq Univ (inverse A) (divide identity A). ∀H2:∀A:Univ.∀B:Univ.eq Univ (multiply A B) (divide A (divide identity B)). -∀H3:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (divide (divide identity A) (divide (divide (divide B A) C) B)) C.eq Univ (multiply (multiply (inverse b2) b2) a2) a2 +∀H3:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (divide (divide identity A) (divide (divide (divide B A) C) B)) C.eq Univ (multiply (multiply (inverse b2) b2) a2) a2) . -#Univ. -#A. -#B. -#C. -#a2. -#b2. -#divide. -#identity. -#inverse. -#multiply. -#H0. -#H1. -#H2. -#H3. -nauto by H0,H1,H2,H3; +#Univ ##. +#A ##. +#B ##. +#C ##. +#a2 ##. +#b2 ##. +#divide ##. +#identity ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +nauto by H0,H1,H2,H3 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)