X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FCOL002-5.ma;h=c7a75525acec513790977ae26fc41925ff6f286a;hb=HEAD;hp=c026dd854ec7bbe11399d5120b1e526866b18a1c;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/COL002-5.ma b/helm/software/matita/contribs/ng_TPTP/COL002-5.ma index c026dd854..c7a75525a 100644 --- a/helm/software/matita/contribs/ng_TPTP/COL002-5.ma +++ b/helm/software/matita/contribs/ng_TPTP/COL002-5.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : COL002-5 : TPTP v3.2.0. Bugfixed v3.1.0. *) +(* File : COL002-5 : TPTP v3.7.0. Bugfixed v3.1.0. *) (* Domain : Combinatory Logic *) @@ -28,7 +28,7 @@ include "logic/equality.ma". (* Status : Unsatisfiable *) -(* Rating : 0.43 v3.1.0 *) +(* Rating : 0.11 v3.4.0, 0.12 v3.3.0, 0.43 v3.1.0 *) (* Syntax : Number of clauses : 6 ( 0 non-Horn; 6 unit; 1 RR) *) @@ -50,7 +50,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_weak_fixed_point: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀apply:∀_:Univ.∀_:Univ.Univ. ∀b:Univ. ∀c:Univ. @@ -62,25 +62,26 @@ ntheorem prove_weak_fixed_point: ∀H1:∀X:Univ.eq Univ (apply i X) X. ∀H2:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (apply (apply (apply c X) Y) Z) (apply (apply X Z) Y). ∀H3:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (apply (apply (apply b X) Y) Z) (apply X (apply Y Z)). -∀H4:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (apply (apply (apply s X) Y) Z) (apply (apply X Z) (apply Y Z)).eq Univ (weak_fixed_point fixed_pt) (apply fixed_pt (weak_fixed_point fixed_pt)) +∀H4:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (apply (apply (apply s X) Y) Z) (apply (apply X Z) (apply Y Z)).eq Univ (weak_fixed_point fixed_pt) (apply fixed_pt (weak_fixed_point fixed_pt))) . -#Univ. -#X. -#Y. -#Z. -#apply. -#b. -#c. -#fixed_pt. -#i. -#s. -#weak_fixed_point. -#H0. -#H1. -#H2. -#H3. -#H4. -nauto by H0,H1,H2,H3,H4; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#apply ##. +#b ##. +#c ##. +#fixed_pt ##. +#i ##. +#s ##. +#weak_fixed_point ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +nauto by H0,H1,H2,H3,H4 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)