X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP502-1.ma;h=536da040b110061b1852c4acb895264246f92f2d;hb=e880d6eab5e1700f4a625ddcd7d0fa8f0cce2dcc;hp=eaed7714dbc93765b3e09fb1f80d92bf98849707;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP502-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP502-1.ma index eaed7714d..536da040b 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP502-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP502-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : GRP502-1 : TPTP v3.2.0. Released v2.6.0. *) +(* File : GRP502-1 : TPTP v3.7.0. Released v2.6.0. *) (* Domain : Group Theory *) @@ -22,7 +22,7 @@ include "logic/equality.ma". (* Status : Unsatisfiable *) -(* Rating : 0.14 v3.1.0, 0.11 v2.7.0, 0.09 v2.6.0 *) +(* Rating : 0.11 v3.4.0, 0.12 v3.3.0, 0.14 v3.1.0, 0.11 v2.7.0, 0.09 v2.6.0 *) (* Syntax : Number of clauses : 3 ( 0 non-Horn; 3 unit; 1 RR) *) @@ -42,28 +42,29 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_these_axioms_1: - ∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ. + (∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ. ∀a1:Univ. ∀b1:Univ. ∀double_divide:∀_:Univ.∀_:Univ.Univ. ∀inverse:∀_:Univ.Univ. ∀multiply:∀_:Univ.∀_:Univ.Univ. ∀H0:∀A:Univ.∀B:Univ.eq Univ (multiply A B) (inverse (double_divide B A)). -∀H1:∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.eq Univ (double_divide (double_divide A (inverse (double_divide B C))) (double_divide (inverse B) (inverse (double_divide D (double_divide A D))))) C.eq Univ (multiply (inverse a1) a1) (multiply (inverse b1) b1) +∀H1:∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.eq Univ (double_divide (double_divide A (inverse (double_divide B C))) (double_divide (inverse B) (inverse (double_divide D (double_divide A D))))) C.eq Univ (multiply (inverse a1) a1) (multiply (inverse b1) b1)) . -#Univ. -#A. -#B. -#C. -#D. -#a1. -#b1. -#double_divide. -#inverse. -#multiply. -#H0. -#H1. -nauto by H0,H1; +#Univ ##. +#A ##. +#B ##. +#C ##. +#D ##. +#a1 ##. +#b1 ##. +#double_divide ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +nauto by H0,H1 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)