X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FCOL064-8.ma;h=6919876337ae3541014d2e44f1306ede5df58e90;hb=HEAD;hp=dc9c523747f28e192873ab83a8d9cf3ae3235a80;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/COL064-8.ma b/helm/software/matita/contribs/ng_TPTP/COL064-8.ma index dc9c52374..691987633 100644 --- a/helm/software/matita/contribs/ng_TPTP/COL064-8.ma +++ b/helm/software/matita/contribs/ng_TPTP/COL064-8.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : COL064-8 : TPTP v3.2.0. Bugfixed v1.2.0. *) +(* File : COL064-8 : TPTP v3.7.0. Bugfixed v1.2.0. *) (* Domain : Combinatory Logic *) @@ -30,7 +30,7 @@ include "logic/equality.ma". (* Status : Unsatisfiable *) -(* Rating : 0.00 v2.2.1, 0.22 v2.2.0, 0.29 v2.1.0, 0.71 v2.0.0 *) +(* Rating : 0.11 v3.4.0, 0.12 v3.3.0, 0.00 v2.2.1, 0.22 v2.2.0, 0.29 v2.1.0, 0.71 v2.0.0 *) (* Syntax : Number of clauses : 3 ( 0 non-Horn; 3 unit; 1 RR) *) @@ -54,7 +54,7 @@ include "logic/equality.ma". (* ----This is the V equivalent *) ntheorem prove_v_combinator: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀apply:∀_:Univ.∀_:Univ.Univ. ∀b:Univ. ∀t:Univ. @@ -62,21 +62,22 @@ ntheorem prove_v_combinator: ∀y:Univ. ∀z:Univ. ∀H0:∀X:Univ.∀Y:Univ.eq Univ (apply (apply t X) Y) (apply Y X). -∀H1:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (apply (apply (apply b X) Y) Z) (apply X (apply Y Z)).eq Univ (apply (apply (apply (apply (apply b (apply (apply b (apply t (apply (apply b b) t))) b)) (apply (apply b t) t)) x) y) z) (apply (apply z x) y) +∀H1:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (apply (apply (apply b X) Y) Z) (apply X (apply Y Z)).eq Univ (apply (apply (apply (apply (apply b (apply (apply b (apply t (apply (apply b b) t))) b)) (apply (apply b t) t)) x) y) z) (apply (apply z x) y)) . -#Univ. -#X. -#Y. -#Z. -#apply. -#b. -#t. -#x. -#y. -#z. -#H0. -#H1. -nauto by H0,H1; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#apply ##. +#b ##. +#t ##. +#x ##. +#y ##. +#z ##. +#H0 ##. +#H1 ##. +nauto by H0,H1 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)