(* -------------------------------------------------------------------------- *)
-(* File : GRP509-1 : TPTP v3.2.0. Released v2.6.0. *)
+(* File : GRP509-1 : TPTP v3.7.0. Released v2.6.0. *)
(* Domain : Group Theory (Abelian) *)
(* Status : Unsatisfiable *)
-(* Rating : 0.00 v2.6.0 *)
+(* Rating : 0.11 v3.4.0, 0.00 v2.6.0 *)
(* Syntax : Number of clauses : 2 ( 0 non-Horn; 2 unit; 1 RR) *)
(* -------------------------------------------------------------------------- *)
ntheorem prove_these_axioms_1:
- ∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.
+ (∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.
∀a1:Univ.
∀b1:Univ.
∀inverse:∀_:Univ.Univ.
∀multiply:∀_:Univ.∀_:Univ.Univ.
-∀H0:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (multiply (multiply (multiply A B) C) (inverse (multiply A C))) B.eq Univ (multiply (inverse a1) a1) (multiply (inverse b1) b1)
+∀H0:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (multiply (multiply (multiply A B) C) (inverse (multiply A C))) B.eq Univ (multiply (inverse a1) a1) (multiply (inverse b1) b1))
.
-#Univ.
-#A.
-#B.
-#C.
-#a1.
-#b1.
-#inverse.
-#multiply.
-#H0.
-nauto by H0;
+#Univ ##.
+#A ##.
+#B ##.
+#C ##.
+#a1 ##.
+#b1 ##.
+#inverse ##.
+#multiply ##.
+#H0 ##.
+nauto by H0 ##;
+ntry (nassumption) ##;
nqed.
(* -------------------------------------------------------------------------- *)