X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FCOL004-1.ma;h=cfbd1e7607e8cf1397493a2e64b91944cb24b462;hb=02e8b3eb9d2a8a3bb3942c41b47b6ac048efd5be;hp=7a0bae2d0dee0272dbbffad95cdb2ed8807baac1;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/COL004-1.ma b/helm/software/matita/contribs/ng_TPTP/COL004-1.ma index 7a0bae2d0..cfbd1e760 100644 --- a/helm/software/matita/contribs/ng_TPTP/COL004-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/COL004-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : COL004-1 : TPTP v3.2.0. Released v1.0.0. *) +(* File : COL004-1 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Combinatory Logic *) @@ -26,7 +26,7 @@ include "logic/equality.ma". (* Status : Unsatisfiable *) -(* Rating : 0.50 v3.2.0, 0.57 v3.1.0, 0.67 v2.7.0, 0.55 v2.6.0, 0.17 v2.5.0, 0.25 v2.4.0, 0.00 v2.2.1, 0.56 v2.2.0, 0.57 v2.1.0, 1.00 v2.0.0 *) +(* Rating : 0.44 v3.4.0, 0.38 v3.3.0, 0.50 v3.2.0, 0.57 v3.1.0, 0.67 v2.7.0, 0.55 v2.6.0, 0.17 v2.5.0, 0.25 v2.4.0, 0.00 v2.2.1, 0.56 v2.2.0, 0.57 v2.1.0, 1.00 v2.0.0 *) (* Syntax : Number of clauses : 3 ( 0 non-Horn; 3 unit; 1 RR) *) @@ -46,31 +46,31 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_u_combinator: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀apply:∀_:Univ.∀_:Univ.Univ. ∀f:∀_:Univ.Univ. ∀g:∀_:Univ.Univ. ∀k:Univ. ∀s:Univ. ∀H0:∀X:Univ.∀Y:Univ.eq Univ (apply (apply k X) Y) X. -∀H1:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (apply (apply (apply s X) Y) Z) (apply (apply X Z) (apply Y Z)).∃Z:Univ.eq Univ (apply (apply Z (f Z)) (g Z)) (apply (g Z) (apply (apply (f Z) (f Z)) (g Z))) +∀H1:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (apply (apply (apply s X) Y) Z) (apply (apply X Z) (apply Y Z)).∃Z:Univ.eq Univ (apply (apply Z (f Z)) (g Z)) (apply (g Z) (apply (apply (f Z) (f Z)) (g Z)))) . -#Univ. -#X. -#Y. -#Z. -#apply. -#f. -#g. -#k. -#s. -#H0. -#H1. -napply ex_intro[ -nid2: -nauto by H0,H1; -nid| -skip] +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#apply ##. +#f ##. +#g ##. +#k ##. +#s ##. +#H0 ##. +#H1 ##. +napply (ex_intro ? ? ? ?) ##[ +##2: +nauto by H0,H1 ##; +##| ##skip ##] +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)