X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FCOL066-1.ma;h=881f99c69a254e808ef27bfb44753aef56231b7b;hb=a88be1ca42c0969dbab9a5c76240f5931df876d9;hp=ed5438bf3ba5165c692582a2d4ea04d849a7e356;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/COL066-1.ma b/helm/software/matita/contribs/ng_TPTP/COL066-1.ma index ed5438bf3..881f99c69 100644 --- a/helm/software/matita/contribs/ng_TPTP/COL066-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/COL066-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : COL066-1 : TPTP v3.2.0. Released v1.0.0. *) +(* File : COL066-1 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Combinatory Logic *) @@ -28,7 +28,7 @@ include "logic/equality.ma". (* Status : Unsatisfiable *) -(* Rating : 0.93 v3.1.0, 0.89 v2.7.0, 0.82 v2.6.0, 0.67 v2.5.0, 0.25 v2.4.0, 0.00 v2.3.0, 0.33 v2.2.1, 0.89 v2.2.0, 0.86 v2.1.0, 1.00 v2.0.0 *) +(* Rating : 0.78 v3.4.0, 0.88 v3.3.0, 0.93 v3.1.0, 0.89 v2.7.0, 0.82 v2.6.0, 0.67 v2.5.0, 0.25 v2.4.0, 0.00 v2.3.0, 0.33 v2.2.1, 0.89 v2.2.0, 0.86 v2.1.0, 1.00 v2.0.0 *) (* Syntax : Number of clauses : 4 ( 0 non-Horn; 4 unit; 1 RR) *) @@ -48,7 +48,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) 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. ∀f:∀_:Univ.Univ. @@ -58,27 +58,27 @@ ntheorem prove_p_combinator: ∀w: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)).∃X:Univ.eq Univ (apply (apply (apply (apply X (f X)) (g X)) (g X)) (h X)) (apply (apply (f X) (g X)) (apply (apply (f X) (g X)) (h X))) +∀H2:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (apply (apply (apply b X) Y) Z) (apply X (apply Y Z)).∃X:Univ.eq Univ (apply (apply (apply (apply X (f X)) (g X)) (g X)) (h X)) (apply (apply (f X) (g X)) (apply (apply (f X) (g X)) (h X)))) . -#Univ. -#X. -#Y. -#Z. -#apply. -#b. -#f. -#g. -#h. -#q. -#w. -#H0. -#H1. -#H2. -napply ex_intro[ -nid2: -nauto by H0,H1,H2; -nid| -skip] +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#apply ##. +#b ##. +#f ##. +#g ##. +#h ##. +#q ##. +#w ##. +#H0 ##. +#H1 ##. +#H2 ##. +napply (ex_intro ? ? ? ?) ##[ +##2: +nauto by H0,H1,H2 ##; +##| ##skip ##] +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)