X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FCOL006-5.ma;h=8552b2322c0bc40e7139593a2dc5430ad13fc593;hb=a88be1ca42c0969dbab9a5c76240f5931df876d9;hp=f63155f860b79e9d85eda222cc21ba3fa2e23645;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/COL006-5.ma b/helm/software/matita/contribs/ng_TPTP/COL006-5.ma index f63155f86..8552b2322 100644 --- a/helm/software/matita/contribs/ng_TPTP/COL006-5.ma +++ b/helm/software/matita/contribs/ng_TPTP/COL006-5.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : COL006-5 : TPTP v3.2.0. Released v2.1.0. *) +(* File : COL006-5 : TPTP v3.7.0. Released v2.1.0. *) (* Domain : Combinatory Logic *) @@ -28,7 +28,7 @@ include "logic/equality.ma". (* Status : Unsatisfiable *) -(* Rating : 0.64 v3.1.0, 0.56 v2.7.0, 0.91 v2.6.0, 0.33 v2.5.0, 0.00 v2.4.0, 0.67 v2.2.1, 0.88 v2.2.0, 0.80 v2.1.0 *) +(* Rating : 0.56 v3.4.0, 0.62 v3.3.0, 0.64 v3.1.0, 0.56 v2.7.0, 0.91 v2.6.0, 0.33 v2.5.0, 0.00 v2.4.0, 0.67 v2.2.1, 0.88 v2.2.0, 0.80 v2.1.0 *) (* Syntax : Number of clauses : 4 ( 0 non-Horn; 4 unit; 2 RR) *) @@ -48,7 +48,7 @@ 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. ∀fixed_pt:Univ. ∀k:Univ. @@ -56,21 +56,22 @@ ntheorem prove_strong_fixed_point: ∀strong_fixed_point:Univ. ∀H0:eq Univ strong_fixed_point (apply (apply s (apply k (apply (apply s (apply (apply s k) k)) (apply (apply s k) k)))) (apply (apply s (apply k (apply (apply s s) (apply s k)))) (apply (apply s (apply k s)) k))). ∀H1:∀X:Univ.∀Y:Univ.eq Univ (apply (apply k X) Y) X. -∀H2:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (apply (apply (apply s X) Y) Z) (apply (apply X Z) (apply Y Z)).eq Univ (apply strong_fixed_point fixed_pt) (apply fixed_pt (apply strong_fixed_point fixed_pt)) +∀H2:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (apply (apply (apply s X) Y) Z) (apply (apply X Z) (apply Y Z)).eq Univ (apply strong_fixed_point fixed_pt) (apply fixed_pt (apply strong_fixed_point fixed_pt))) . -#Univ. -#X. -#Y. -#Z. -#apply. -#fixed_pt. -#k. -#s. -#strong_fixed_point. -#H0. -#H1. -#H2. -nauto by H0,H1,H2; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#apply ##. +#fixed_pt ##. +#k ##. +#s ##. +#strong_fixed_point ##. +#H0 ##. +#H1 ##. +#H2 ##. +nauto by H0,H1,H2 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)