(* -------------------------------------------------------------------------- *)
-(* 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 *)
(* 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) *)
(* -------------------------------------------------------------------------- *)
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.
∀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.
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