X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FCOL003-1.ma;h=61442e2e088e75f717f22ba742b00a5df76e442a;hb=601baed778a190b580982b588ebe49ba3f762b30;hp=1de3e308745eff47869a702dd9e4347e241a17a8;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/COL003-1.ma b/helm/software/matita/contribs/ng_TPTP/COL003-1.ma index 1de3e3087..61442e2e0 100644 --- a/helm/software/matita/contribs/ng_TPTP/COL003-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/COL003-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : COL003-1 : TPTP v3.2.0. Released v1.0.0. *) +(* File : COL003-1 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Combinatory Logic *) @@ -62,7 +62,7 @@ include "logic/equality.ma". (* Status : Unsatisfiable *) -(* Rating : 0.71 v3.2.0, 0.79 v3.1.0, 0.78 v2.7.0, 0.73 v2.6.0, 0.67 v2.5.0, 0.25 v2.4.0, 0.33 v2.3.0, 0.67 v2.2.1, 1.00 v2.0.0 *) +(* Rating : 0.67 v3.4.0, 0.75 v3.3.0, 0.71 v3.2.0, 0.79 v3.1.0, 0.78 v2.7.0, 0.73 v2.6.0, 0.67 v2.5.0, 0.25 v2.4.0, 0.33 v2.3.0, 0.67 v2.2.1, 1.00 v2.0.0 *) (* Syntax : Number of clauses : 3 ( 0 non-Horn; 3 unit; 1 RR) *) @@ -82,29 +82,29 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_strong_fixed_point: - ∀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. ∀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 b X) Y) Z) (apply X (apply Y Z)).∃Y:Univ.eq Univ (apply Y (f Y)) (apply (f Y) (apply Y (f Y))) +∀H1:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (apply (apply (apply b X) Y) Z) (apply X (apply Y Z)).∃Y:Univ.eq Univ (apply Y (f Y)) (apply (f Y) (apply Y (f Y)))) . -#Univ. -#X. -#Y. -#Z. -#apply. -#b. -#f. -#w. -#H0. -#H1. -napply ex_intro[ -nid2: -nauto by H0,H1; -nid| -skip] +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#apply ##. +#b ##. +#f ##. +#w ##. +#H0 ##. +#H1 ##. +napply (ex_intro ? ? ? ?) ##[ +##2: +nauto by H0,H1 ##; +##| ##skip ##] +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)