X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP195-1.ma;h=5794c7194d248f1237705a59fc2a8b20dc18a11d;hb=02e8b3eb9d2a8a3bb3942c41b47b6ac048efd5be;hp=202eb45ba46ab11d0e5c1f3139f58caf5092e6b4;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP195-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP195-1.ma index 202eb45ba..5794c7194 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP195-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP195-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : GRP195-1 : TPTP v3.2.0. Released v2.2.0. *) +(* File : GRP195-1 : TPTP v3.7.0. Released v2.2.0. *) (* Domain : Group Theory (Semigroups) *) @@ -24,7 +24,7 @@ include "logic/equality.ma". (* Status : Unsatisfiable *) -(* Rating : 0.00 v2.7.0, 0.09 v2.6.0, 0.17 v2.5.0, 0.00 v2.4.0, 0.00 v2.2.1 *) +(* Rating : 0.11 v3.4.0, 0.12 v3.3.0, 0.00 v2.7.0, 0.09 v2.6.0, 0.17 v2.5.0, 0.00 v2.4.0, 0.00 v2.2.1 *) (* Syntax : Number of clauses : 3 ( 0 non-Horn; 3 unit; 1 RR) *) @@ -52,7 +52,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : GRP008-0 : TPTP v3.2.0. Released v2.2.0. *) +(* File : GRP008-0 : TPTP v3.7.0. Released v2.2.0. *) (* Domain : Group Theory (Semigroups) *) @@ -74,7 +74,7 @@ include "logic/equality.ma". (* Syntax : Number of clauses : 1 ( 0 non-Horn; 1 unit; 0 RR) *) -(* Number of literals : 1 ( 1 equality) *) +(* Number of atoms : 1 ( 1 equality) *) (* Maximal clause size : 1 ( 1 average) *) @@ -100,23 +100,24 @@ include "logic/equality.ma". (* ----Denial of conclusion: *) ntheorem prove_this: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀a:Univ. ∀b:Univ. ∀multiply:∀_:Univ.∀_:Univ.Univ. ∀H0:∀X:Univ.∀Y:Univ.eq Univ (multiply X (multiply Y Y)) (multiply Y (multiply Y X)). -∀H1:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply X Y) Z) (multiply X (multiply Y Z)).eq Univ (multiply a (multiply b (multiply a (multiply b (multiply a (multiply b (multiply a b))))))) (multiply a (multiply a (multiply a (multiply a (multiply b (multiply b (multiply b b))))))) +∀H1:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply X Y) Z) (multiply X (multiply Y Z)).eq Univ (multiply a (multiply b (multiply a (multiply b (multiply a (multiply b (multiply a b))))))) (multiply a (multiply a (multiply a (multiply a (multiply b (multiply b (multiply b b)))))))) . -#Univ. -#X. -#Y. -#Z. -#a. -#b. -#multiply. -#H0. -#H1. -nauto by H0,H1; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#b ##. +#multiply ##. +#H0 ##. +#H1 ##. +nauto by H0,H1 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)