(* -------------------------------------------------------------------------- *)
-(* File : GRP118-1 : TPTP v3.2.0. Released v1.2.0. *)
+(* File : GRP118-1 : TPTP v3.7.0. Released v1.2.0. *)
(* Domain : Group Theory *)
(* Status : Unsatisfiable *)
-(* Rating : 0.00 v2.2.1, 0.22 v2.2.0, 0.29 v2.1.0, 0.14 v2.0.0 *)
+(* Rating : 0.11 v3.4.0, 0.00 v2.2.1, 0.22 v2.2.0, 0.29 v2.1.0, 0.14 v2.0.0 *)
(* Syntax : Number of clauses : 2 ( 0 non-Horn; 2 unit; 1 RR) *)
(* -------------------------------------------------------------------------- *)
ntheorem prove_order3:
- ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
+ (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
∀a:Univ.
∀b:Univ.
∀c:Univ.
∀identity:Univ.
∀multiply:∀_:Univ.∀_:Univ.Univ.
-∀H0:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply X (multiply (multiply X (multiply (multiply X Y) Z)) (multiply identity (multiply Z Z)))) Y.eq Univ (multiply (multiply a b) c) (multiply a (multiply b c))
+∀H0:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply X (multiply (multiply X (multiply (multiply X Y) Z)) (multiply identity (multiply Z Z)))) Y.eq Univ (multiply (multiply a b) c) (multiply a (multiply b c)))
.
-#Univ.
-#X.
-#Y.
-#Z.
-#a.
-#b.
-#c.
-#identity.
-#multiply.
-#H0.
-nauto by H0;
+#Univ ##.
+#X ##.
+#Y ##.
+#Z ##.
+#a ##.
+#b ##.
+#c ##.
+#identity ##.
+#multiply ##.
+#H0 ##.
+nauto by H0 ##;
+ntry (nassumption) ##;
nqed.
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