X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP205-1.ma;h=f9ac777d429676f7b3cd8acd76205c4095d860bb;hb=b254cc57f5e082712f3ec6be9295eec0062b8d47;hp=dfbae70ece5397d4ea76166e8279ab96ead75c7e;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP205-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP205-1.ma index dfbae70ec..f9ac777d4 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP205-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP205-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : GRP205-1 : TPTP v3.2.0. Released v2.3.0. *) +(* File : GRP205-1 : TPTP v3.7.0. Released v2.3.0. *) (* Domain : Group Theory (Loops) *) @@ -22,7 +22,7 @@ include "logic/equality.ma". (* Status : Unsatisfiable *) -(* Rating : 0.43 v3.1.0, 0.33 v2.7.0, 0.36 v2.6.0, 0.00 v2.4.0, 0.33 v2.3.0 *) +(* Rating : 0.33 v3.4.0, 0.38 v3.3.0, 0.43 v3.1.0, 0.33 v2.7.0, 0.36 v2.6.0, 0.00 v2.4.0, 0.33 v2.3.0 *) (* Syntax : Number of clauses : 10 ( 0 non-Horn; 10 unit; 1 RR) *) @@ -48,7 +48,7 @@ include "logic/equality.ma". (* ----Denial of Moufang-4 *) ntheorem prove_moufang4: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀identity:Univ. ∀left_division:∀_:Univ.∀_:Univ.Univ. ∀left_inverse:∀_:Univ.Univ. @@ -66,31 +66,32 @@ ntheorem prove_moufang4: ∀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 x (multiply (multiply y z) x)) (multiply (multiply x y) (multiply z x)) +∀H8:∀X:Univ.eq Univ (multiply identity X) X.eq Univ (multiply x (multiply (multiply y z) x)) (multiply (multiply x y) (multiply z x))) . -#Univ. -#X. -#Y. -#Z. -#identity. -#left_division. -#left_inverse. -#multiply. -#right_division. -#right_inverse. -#x. -#y. -#z. -#H0. -#H1. -#H2. -#H3. -#H4. -#H5. -#H6. -#H7. -#H8. -nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#identity ##. +#left_division ##. +#left_inverse ##. +#multiply ##. +#right_division ##. +#right_inverse ##. +#x ##. +#y ##. +#z ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +#H6 ##. +#H7 ##. +#H8 ##. +nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)