X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FCOL066-2.ma;h=4e07ebfb14256319c82d0c1c2ccfdaa098a47158;hb=e880d6eab5e1700f4a625ddcd7d0fa8f0cce2dcc;hp=295d9a3c0cdd39d199070b37d872d26796bf18d2;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/COL066-2.ma b/helm/software/matita/contribs/ng_TPTP/COL066-2.ma index 295d9a3c0..4e07ebfb1 100644 --- a/helm/software/matita/contribs/ng_TPTP/COL066-2.ma +++ b/helm/software/matita/contribs/ng_TPTP/COL066-2.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : COL066-2 : TPTP v3.2.0. Bugfixed v1.2.0. *) +(* File : COL066-2 : TPTP v3.7.0. Bugfixed v1.2.0. *) (* Domain : Combinatory Logic *) @@ -30,7 +30,7 @@ include "logic/equality.ma". (* Status : Unsatisfiable *) -(* Rating : 0.00 v2.7.0, 0.09 v2.6.0, 0.00 v2.1.0, 0.29 v2.0.0 *) +(* Rating : 0.11 v3.4.0, 0.12 v3.3.0, 0.00 v2.7.0, 0.09 v2.6.0, 0.00 v2.1.0, 0.29 v2.0.0 *) (* Syntax : Number of clauses : 4 ( 0 non-Horn; 4 unit; 1 RR) *) @@ -54,7 +54,7 @@ include "logic/equality.ma". (* ----This is the P equivalent *) ntheorem prove_p_combinator: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀apply:∀_:Univ.∀_:Univ.Univ. ∀b:Univ. ∀q:Univ. @@ -64,23 +64,24 @@ ntheorem prove_p_combinator: ∀z:Univ. ∀H0:∀X:Univ.∀Y:Univ.eq Univ (apply (apply w X) Y) (apply (apply X Y) Y). ∀H1:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (apply (apply (apply q X) Y) Z) (apply Y (apply X Z)). -∀H2:∀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 (apply q q) (apply w (apply q (apply q q)))) x) y) y) z) (apply (apply x y) (apply (apply x y) z)) +∀H2:∀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 (apply q q) (apply w (apply q (apply q q)))) x) y) y) z) (apply (apply x y) (apply (apply x y) z))) . -#Univ. -#X. -#Y. -#Z. -#apply. -#b. -#q. -#w. -#x. -#y. -#z. -#H0. -#H1. -#H2. -nauto by H0,H1,H2; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#apply ##. +#b ##. +#q ##. +#w ##. +#x ##. +#y ##. +#z ##. +#H0 ##. +#H1 ##. +#H2 ##. +nauto by H0,H1,H2 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)