X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FALG005-1.ma;h=3cf950120dcada2664b026462ea958decdea6a61;hb=fd6372c8268d8dbe17810361bc870c6d8bcd5390;hp=a3209c30d10460481a908a7e6049452bc573fff4;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/ALG005-1.ma b/helm/software/matita/contribs/ng_TPTP/ALG005-1.ma index a3209c30d..3cf950120 100644 --- a/helm/software/matita/contribs/ng_TPTP/ALG005-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/ALG005-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : ALG005-1 : TPTP v3.2.0. Released v2.2.0. *) +(* File : ALG005-1 : TPTP v3.7.0. Released v2.2.0. *) (* Domain : General Algebra *) @@ -28,7 +28,7 @@ include "logic/equality.ma". (* Status : Unsatisfiable *) -(* Rating : 0.07 v3.1.0, 0.22 v2.7.0, 0.00 v2.2.1 *) +(* Rating : 0.11 v3.4.0, 0.12 v3.3.0, 0.07 v3.1.0, 0.22 v2.7.0, 0.00 v2.2.1 *) (* Syntax : Number of clauses : 5 ( 0 non-Horn; 5 unit; 1 RR) *) @@ -54,7 +54,7 @@ include "logic/equality.ma". (* ----Denial of associativity: *) ntheorem prove_associativity_of_multiply: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀a:Univ. ∀b:Univ. ∀c:Univ. @@ -63,22 +63,23 @@ ntheorem prove_associativity_of_multiply: ∀H0:∀X:Univ.∀Y:Univ.eq Univ (multiply X Y) (difference X (difference X Y)). ∀H1:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (difference (difference X Y) Z) (difference (difference X Z) (difference Y Z)). ∀H2:∀X:Univ.∀Y:Univ.eq Univ (difference X (difference X Y)) (difference Y (difference Y X)). -∀H3:∀X:Univ.∀Y:Univ.eq Univ (difference X (difference Y X)) X.eq Univ (multiply (multiply a b) c) (multiply a (multiply b c)) +∀H3:∀X:Univ.∀Y:Univ.eq Univ (difference X (difference Y X)) X.eq Univ (multiply (multiply a b) c) (multiply a (multiply b c))) . -#Univ. -#X. -#Y. -#Z. -#a. -#b. -#c. -#difference. -#multiply. -#H0. -#H1. -#H2. -#H3. -nauto by H0,H1,H2,H3; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#b ##. +#c ##. +#difference ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +nauto by H0,H1,H2,H3 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)