X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP002-3.ma;h=e0783646f8e2cb6db038b1ac1db8e158b55d1025;hb=dc7e826399162e2fde3ddf1f02d5530d6cd11205;hp=9051aaa60c5a9b4b077e83ffb2ad370b10054d75;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP002-3.ma b/helm/software/matita/contribs/ng_TPTP/GRP002-3.ma index 9051aaa60..e0783646f 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP002-3.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP002-3.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : GRP002-3 : TPTP v3.2.0. Released v1.0.0. *) +(* File : GRP002-3 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Group Theory *) @@ -44,7 +44,7 @@ include "logic/equality.ma". (* Status : Unsatisfiable *) -(* Rating : 0.00 v3.1.0, 0.11 v2.7.0, 0.00 v2.2.1, 0.33 v2.2.0, 0.43 v2.1.0, 0.25 v2.0.0 *) +(* Rating : 0.11 v3.4.0, 0.12 v3.3.0, 0.00 v3.1.0, 0.11 v2.7.0, 0.00 v2.2.1, 0.33 v2.2.0, 0.43 v2.1.0, 0.25 v2.0.0 *) (* Syntax : Number of clauses : 6 ( 0 non-Horn; 6 unit; 1 RR) *) @@ -72,7 +72,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : GRP004-0 : TPTP v3.2.0. Released v1.0.0. *) +(* File : GRP004-0 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Group Theory *) @@ -96,7 +96,7 @@ include "logic/equality.ma". (* Syntax : Number of clauses : 3 ( 0 non-Horn; 3 unit; 0 RR) *) -(* Number of literals : 3 ( 3 equality) *) +(* Number of atoms : 3 ( 3 equality) *) (* Maximal clause size : 1 ( 1 average) *) @@ -136,7 +136,7 @@ include "logic/equality.ma". (* ----Definition of the commutator *) ntheorem prove_commutator: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀a:Univ. ∀b:Univ. ∀commutator:∀_:Univ.∀_:Univ.Univ. @@ -147,24 +147,25 @@ ntheorem prove_commutator: ∀H1:∀X:Univ.∀Y:Univ.eq Univ (commutator X Y) (multiply X (multiply Y (multiply (inverse X) (inverse Y)))). ∀H2:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply X Y) Z) (multiply X (multiply Y Z)). ∀H3:∀X:Univ.eq Univ (multiply (inverse X) X) identity. -∀H4:∀X:Univ.eq Univ (multiply identity X) X.eq Univ (commutator (commutator a b) b) identity +∀H4:∀X:Univ.eq Univ (multiply identity X) X.eq Univ (commutator (commutator a b) b) identity) . -#Univ. -#X. -#Y. -#Z. -#a. -#b. -#commutator. -#identity. -#inverse. -#multiply. -#H0. -#H1. -#H2. -#H3. -#H4. -nauto by H0,H1,H2,H3,H4; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#b ##. +#commutator ##. +#identity ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +nauto by H0,H1,H2,H3,H4 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)