X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP001-2.ma;h=3252bdbcacd96048606f799907eacac3103ebabe;hb=e880d6eab5e1700f4a625ddcd7d0fa8f0cce2dcc;hp=d6af7f0aeb11f7e1932992adb182fe49c54d7518;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP001-2.ma b/helm/software/matita/contribs/ng_TPTP/GRP001-2.ma index d6af7f0ae..3252bdbca 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP001-2.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP001-2.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : GRP001-2 : TPTP v3.2.0. Released v1.0.0. *) +(* File : GRP001-2 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Group Theory *) @@ -60,7 +60,7 @@ 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 *) @@ -84,7 +84,7 @@ 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) *) @@ -124,7 +124,7 @@ include "logic/equality.ma". (* ----Redundant two axioms *) ntheorem prove_b_times_a_is_c: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀a:Univ. ∀b:Univ. ∀c:Univ. @@ -137,26 +137,27 @@ ntheorem prove_b_times_a_is_c: ∀H3:∀X:Univ.eq Univ (multiply X identity) X. ∀H4:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply X Y) Z) (multiply X (multiply Y Z)). ∀H5:∀X:Univ.eq Univ (multiply (inverse X) X) identity. -∀H6:∀X:Univ.eq Univ (multiply identity X) X.eq Univ (multiply b a) c +∀H6:∀X:Univ.eq Univ (multiply identity X) X.eq Univ (multiply b a) c) . -#Univ. -#X. -#Y. -#Z. -#a. -#b. -#c. -#identity. -#inverse. -#multiply. -#H0. -#H1. -#H2. -#H3. -#H4. -#H5. -#H6. -nauto by H0,H1,H2,H3,H4,H5,H6; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#b ##. +#c ##. +#identity ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +#H6 ##. +nauto by H0,H1,H2,H3,H4,H5,H6 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)