X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP201-1.ma;h=133da968a6e12dde7d71569f082796dc0aa7bc4a;hb=5c92c318030a05c766b3f6070dbd23589cbdee04;hp=cfe181627ddc35be00fdc850e4b802c492566516;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP201-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP201-1.ma index cfe181627..133da968a 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP201-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP201-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : GRP201-1 : TPTP v3.2.0. Released v2.2.0. *) +(* File : GRP201-1 : TPTP v3.7.0. Released v2.2.0. *) (* Domain : Group Theory (Loops) *) @@ -28,7 +28,7 @@ include "logic/equality.ma". (* Status : Unsatisfiable *) -(* Rating : 0.36 v3.1.0, 0.44 v2.7.0, 0.36 v2.6.0, 0.00 v2.2.1 *) +(* Rating : 0.22 v3.4.0, 0.25 v3.3.0, 0.36 v3.1.0, 0.44 v2.7.0, 0.36 v2.6.0, 0.00 v2.2.1 *) (* Syntax : Number of clauses : 10 ( 0 non-Horn; 10 unit; 1 RR) *) @@ -54,7 +54,7 @@ include "logic/equality.ma". (* ----Denial of Moufang-3: *) ntheorem prove_moufang3: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀a:Univ. ∀b:Univ. ∀c:Univ. @@ -72,31 +72,32 @@ ntheorem prove_moufang3: ∀H5:∀X:Univ.∀Y:Univ.eq Univ (left_division X (multiply X Y)) Y. ∀H6:∀X:Univ.∀Y:Univ.eq Univ (multiply X (left_division X Y)) Y. ∀H7:∀X:Univ.eq Univ (multiply X identity) X. -∀H8:∀X:Univ.eq Univ (multiply identity X) X.eq Univ (multiply (multiply (multiply a b) a) c) (multiply a (multiply b (multiply a c))) +∀H8:∀X:Univ.eq Univ (multiply identity X) X.eq Univ (multiply (multiply (multiply a b) a) c) (multiply a (multiply b (multiply a c)))) . -#Univ. -#X. -#Y. -#Z. -#a. -#b. -#c. -#identity. -#left_division. -#left_inverse. -#multiply. -#right_division. -#right_inverse. -#H0. -#H1. -#H2. -#H3. -#H4. -#H5. -#H6. -#H7. -#H8. -nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#b ##. +#c ##. +#identity ##. +#left_division ##. +#left_inverse ##. +#multiply ##. +#right_division ##. +#right_inverse ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +#H6 ##. +#H7 ##. +#H8 ##. +nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)