X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FCOL001-2.ma;h=4fd41dd361e1815931f1c1b69811dd9fea67cc68;hb=ea5d9548f89f6e9570c6c37be2457bc5e1c59740;hp=949eed4f1e2bcfde505b2fa10f8f84c400f531bf;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/COL001-2.ma b/helm/software/matita/contribs/ng_TPTP/COL001-2.ma index 949eed4f1..4fd41dd36 100644 --- a/helm/software/matita/contribs/ng_TPTP/COL001-2.ma +++ b/helm/software/matita/contribs/ng_TPTP/COL001-2.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : COL001-2 : TPTP v3.2.0. Released v1.0.0. *) +(* File : COL001-2 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Combinatory Logic *) @@ -26,7 +26,7 @@ include "logic/equality.ma". (* Status : Unsatisfiable *) -(* Rating : 0.07 v3.1.0, 0.11 v2.7.0, 0.00 v2.1.0, 0.13 v2.0.0 *) +(* Rating : 0.11 v3.4.0, 0.12 v3.3.0, 0.07 v3.1.0, 0.11 v2.7.0, 0.00 v2.1.0, 0.13 v2.0.0 *) (* Syntax : Number of clauses : 6 ( 0 non-Horn; 6 unit; 1 RR) *) @@ -48,7 +48,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_fixed_point: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀apply:∀_:Univ.∀_:Univ.Univ. ∀b:Univ. ∀combinator:Univ. @@ -60,29 +60,29 @@ ntheorem prove_fixed_point: ∀H1:∀X:Univ.eq Univ (apply i X) X. ∀H2:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (apply (apply (apply b X) Y) Z) (apply X (apply Y Z)). ∀H3:∀X:Univ.∀Y:Univ.eq Univ (apply (apply k X) Y) X. -∀H4:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (apply (apply (apply s X) Y) Z) (apply (apply X Z) (apply Y Z)).∃Y:Univ.eq Univ Y (apply combinator Y) +∀H4:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (apply (apply (apply s X) Y) Z) (apply (apply X Z) (apply Y Z)).∃Y:Univ.eq Univ Y (apply combinator Y)) . -#Univ. -#X. -#Y. -#Z. -#apply. -#b. -#combinator. -#i. -#k. -#s. -#x. -#H0. -#H1. -#H2. -#H3. -#H4. -napply ex_intro[ -nid2: -nauto by H0,H1,H2,H3,H4; -nid| -skip] +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#apply ##. +#b ##. +#combinator ##. +#i ##. +#k ##. +#s ##. +#x ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +napply (ex_intro ? ? ? ?) ##[ +##2: +nauto by H0,H1,H2,H3,H4 ##; +##| ##skip ##] +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)