(* -------------------------------------------------------------------------- *)
-(* File : GRP119-1 : TPTP v3.2.0. Bugfixed v1.2.1. *)
+(* File : GRP119-1 : TPTP v3.7.0. Bugfixed v1.2.1. *)
(* Domain : Group Theory *)
(* Status : Unsatisfiable *)
-(* Rating : 0.00 v3.1.0, 0.11 v2.7.0, 0.00 v2.2.1, 0.44 v2.2.0, 0.57 v2.1.0, 0.29 v2.0.0 *)
+(* Rating : 0.11 v3.4.0, 0.12 v3.3.0, 0.00 v3.1.0, 0.11 v2.7.0, 0.00 v2.2.1, 0.44 v2.2.0, 0.57 v2.1.0, 0.29 v2.0.0 *)
(* Syntax : Number of clauses : 3 ( 0 non-Horn; 3 unit; 2 RR) *)
(* -------------------------------------------------------------------------- *)
ntheorem prove_order4:
- ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
+ (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
∀a:Univ.
∀identity:Univ.
∀multiply:∀_:Univ.∀_:Univ.Univ.
∀H0:eq Univ (multiply identity identity) identity.
-∀H1:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply Y (multiply (multiply Y (multiply (multiply Y Y) (multiply X Z))) (multiply Z (multiply Z Z)))) X.eq Univ (multiply a (multiply a (multiply a a))) identity
+∀H1:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply Y (multiply (multiply Y (multiply (multiply Y Y) (multiply X Z))) (multiply Z (multiply Z Z)))) X.eq Univ (multiply a (multiply a (multiply a a))) identity)
.
-#Univ.
-#X.
-#Y.
-#Z.
-#a.
-#identity.
-#multiply.
-#H0.
-#H1.
-nauto by H0,H1;
+#Univ ##.
+#X ##.
+#Y ##.
+#Z ##.
+#a ##.
+#identity ##.
+#multiply ##.
+#H0 ##.
+#H1 ##.
+nauto by H0,H1 ##;
+ntry (nassumption) ##;
nqed.
(* -------------------------------------------------------------------------- *)