X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP411-1.ma;h=6fcfe569b77e75e286b29141b667e2d33dc1bbf2;hb=5c92c318030a05c766b3f6070dbd23589cbdee04;hp=94642882f19c0ea718f79af420526e51bb3be058;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP411-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP411-1.ma index 94642882f..6fcfe569b 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP411-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP411-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : GRP411-1 : TPTP v3.2.0. Released v2.6.0. *) +(* File : GRP411-1 : 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, 0.11 v2.7.0, 0.45 v2.6.0 *) +(* Rating : 0.22 v3.4.0, 0.25 v3.3.0, 0.21 v3.1.0, 0.11 v2.7.0, 0.45 v2.6.0 *) (* Syntax : Number of clauses : 2 ( 0 non-Horn; 2 unit; 1 RR) *) @@ -44,25 +44,26 @@ 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. ∀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 a3 b3) c3) (multiply a3 (multiply b3 c3)) +∀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 a3 b3) c3) (multiply a3 (multiply b3 c3))) . -#Univ. -#A. -#B. -#C. -#a3. -#b3. -#c3. -#inverse. -#multiply. -#H0. -nauto by H0; +#Univ ##. +#A ##. +#B ##. +#C ##. +#a3 ##. +#b3 ##. +#c3 ##. +#inverse ##. +#multiply ##. +#H0 ##. +nauto by H0 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)