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-(* File : GRP423-1 : TPTP v3.2.0. Released v2.6.0. *)
+(* File : GRP423-1 : TPTP v3.7.0. Released v2.6.0. *)
(* Domain : Group Theory *)
(* Status : Unsatisfiable *)
-(* Rating : 0.36 v3.1.0, 0.22 v2.7.0, 0.36 v2.6.0 *)
+(* Rating : 0.22 v3.4.0, 0.25 v3.3.0, 0.36 v3.1.0, 0.22 v2.7.0, 0.36 v2.6.0 *)
(* Syntax : Number of clauses : 2 ( 0 non-Horn; 2 unit; 1 RR) *)
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ntheorem prove_these_axioms_3:
- ∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.
+ (∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.
∀a3:Univ.
∀b3:Univ.
∀c3:Univ.
∀inverse:∀_:Univ.Univ.
∀multiply:∀_:Univ.∀_:Univ.Univ.
-∀H0:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (inverse (multiply (inverse (multiply A (inverse (multiply (inverse B) (multiply (inverse C) (inverse (multiply (inverse C) C))))))) (multiply A C))) B.eq Univ (multiply (multiply a3 b3) c3) (multiply a3 (multiply b3 c3))
+∀H0:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (inverse (multiply (inverse (multiply A (inverse (multiply (inverse B) (multiply (inverse C) (inverse (multiply (inverse C) C))))))) (multiply A C))) B.eq Univ (multiply (multiply a3 b3) c3) (multiply a3 (multiply b3 c3)))
.
-#Univ.
-#A.
-#B.
-#C.
-#a3.
-#b3.
-#c3.
-#inverse.
-#multiply.
-#H0.
-nauto by H0;
+#Univ ##.
+#A ##.
+#B ##.
+#C ##.
+#a3 ##.
+#b3 ##.
+#c3 ##.
+#inverse ##.
+#multiply ##.
+#H0 ##.
+nauto by H0 ##;
+ntry (nassumption) ##;
nqed.
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