X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FCOL061-1.ma;h=988e1779635a28fa19f152b4772a28ad38bebd02;hb=e880d6eab5e1700f4a625ddcd7d0fa8f0cce2dcc;hp=142f8115c0c75821328cc8d0a0dc70504582ce20;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/COL061-1.ma b/helm/software/matita/contribs/ng_TPTP/COL061-1.ma index 142f8115c..988e17796 100644 --- a/helm/software/matita/contribs/ng_TPTP/COL061-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/COL061-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : COL061-1 : TPTP v3.2.0. Released v1.0.0. *) +(* File : COL061-1 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Combinatory Logic *) @@ -28,7 +28,7 @@ include "logic/equality.ma". (* Status : Unsatisfiable *) -(* Rating : 0.36 v3.1.0, 0.33 v2.7.0, 0.36 v2.6.0, 0.17 v2.5.0, 0.00 v2.2.1, 0.22 v2.2.0, 0.29 v2.1.0, 0.75 v2.0.0 *) +(* Rating : 0.33 v3.4.0, 0.38 v3.3.0, 0.36 v3.1.0, 0.33 v2.7.0, 0.36 v2.6.0, 0.17 v2.5.0, 0.00 v2.2.1, 0.22 v2.2.0, 0.29 v2.1.0, 0.75 v2.0.0 *) (* Syntax : Number of clauses : 3 ( 0 non-Horn; 3 unit; 1 RR) *) @@ -48,7 +48,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_q1_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. @@ -56,25 +56,25 @@ ntheorem prove_q1_combinator: ∀h:∀_:Univ.Univ. ∀t:Univ. ∀H0:∀X:Univ.∀Y:Univ.eq Univ (apply (apply t X) Y) (apply Y X). -∀H1:∀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 X (f X)) (g X)) (h X)) (apply (f X) (apply (h X) (g X))) +∀H1:∀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 X (f X)) (g X)) (h X)) (apply (f X) (apply (h X) (g X)))) . -#Univ. -#X. -#Y. -#Z. -#apply. -#b. -#f. -#g. -#h. -#t. -#H0. -#H1. -napply ex_intro[ -nid2: -nauto by H0,H1; -nid| -skip] +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#apply ##. +#b ##. +#f ##. +#g ##. +#h ##. +#t ##. +#H0 ##. +#H1 ##. +napply (ex_intro ? ? ? ?) ##[ +##2: +nauto by H0,H1 ##; +##| ##skip ##] +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)