(* -------------------------------------------------------------------------- *)
-(* File : SYN083-1 : TPTP v3.2.0. Released v1.0.0. *)
+(* File : SYN083-1 : TPTP v3.7.0. Released v1.0.0. *)
(* Domain : Syntactic *)
(* -------------------------------------------------------------------------- *)
ntheorem prove_this:
- ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
+ (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
∀a:Univ.
∀b:Univ.
∀c:Univ.
∀d:Univ.
∀f:∀_:Univ.∀_:Univ.Univ.
-∀H0:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (f X (f Y Z)) (f (f X Y) Z).eq Univ (f a (f b (f c d))) (f (f (f a b) c) d)
+∀H0:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (f X (f Y Z)) (f (f X Y) Z).eq Univ (f a (f b (f c d))) (f (f (f a b) c) d))
.
-#Univ.
-#X.
-#Y.
-#Z.
-#a.
-#b.
-#c.
-#d.
-#f.
-#H0.
-nauto by H0;
+#Univ ##.
+#X ##.
+#Y ##.
+#Z ##.
+#a ##.
+#b ##.
+#c ##.
+#d ##.
+#f ##.
+#H0 ##.
+nauto by H0 ##;
+ntry (nassumption) ##;
nqed.
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