X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FCOL042-9.ma;h=1051fa3efc333ab6ed10689df3216df6016f4c5c;hb=a88be1ca42c0969dbab9a5c76240f5931df876d9;hp=f401eafe33a883c808ad38632e36dbf60ff4a4ad;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/COL042-9.ma b/helm/software/matita/contribs/ng_TPTP/COL042-9.ma index f401eafe3..1051fa3ef 100644 --- a/helm/software/matita/contribs/ng_TPTP/COL042-9.ma +++ b/helm/software/matita/contribs/ng_TPTP/COL042-9.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : COL042-9 : TPTP v3.2.0. Released v2.1.0. *) +(* File : COL042-9 : TPTP v3.7.0. Released v2.1.0. *) (* Domain : Combinatory Logic *) @@ -30,7 +30,7 @@ include "logic/equality.ma". (* Status : Unsatisfiable *) -(* Rating : 0.14 v3.1.0, 0.11 v2.7.0, 0.18 v2.6.0, 0.00 v2.5.0, 0.25 v2.4.0, 0.00 v2.2.1, 0.38 v2.2.0, 0.60 v2.1.0 *) +(* Rating : 0.11 v3.4.0, 0.12 v3.3.0, 0.14 v3.1.0, 0.11 v2.7.0, 0.18 v2.6.0, 0.00 v2.5.0, 0.25 v2.4.0, 0.00 v2.2.1, 0.38 v2.2.0, 0.60 v2.1.0 *) (* Syntax : Number of clauses : 4 ( 0 non-Horn; 4 unit; 2 RR) *) @@ -50,7 +50,7 @@ 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. ∀b:Univ. ∀fixed_pt:Univ. @@ -58,21 +58,22 @@ ntheorem prove_strong_fixed_point: ∀w1:Univ. ∀H0:eq Univ strong_fixed_point (apply (apply b (apply w1 w1)) (apply (apply b (apply b w1)) (apply (apply b b) b))). ∀H1:∀X:Univ.∀Y:Univ.eq Univ (apply (apply w1 X) Y) (apply (apply Y X) X). -∀H2:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (apply (apply (apply b X) Y) Z) (apply X (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 b X) Y) Z) (apply X (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. -#b. -#fixed_pt. -#strong_fixed_point. -#w1. -#H0. -#H1. -#H2. -nauto by H0,H1,H2; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#apply ##. +#b ##. +#fixed_pt ##. +#strong_fixed_point ##. +#w1 ##. +#H0 ##. +#H1 ##. +#H2 ##. +nauto by H0,H1,H2 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)