(* -------------------------------------------------------------------------- *)
-(* File : GRP508-1 : TPTP v3.2.0. Bugfixed v2.7.0. *)
+(* File : GRP508-1 : TPTP v3.7.0. Bugfixed v2.7.0. *)
(* Domain : Group Theory (Abelian) *)
(* Status : Unsatisfiable *)
-(* Rating : 0.64 v3.2.0, 0.57 v3.1.0, 0.56 v2.7.0 *)
+(* Rating : 0.56 v3.4.0, 0.62 v3.3.0, 0.64 v3.2.0, 0.57 v3.1.0, 0.56 v2.7.0 *)
(* Syntax : Number of clauses : 2 ( 0 non-Horn; 2 unit; 1 RR) *)
(* -------------------------------------------------------------------------- *)
ntheorem prove_these_axioms_4:
- ∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.∀E:Univ.∀F:Univ.
+ (∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.∀E:Univ.∀F:Univ.
∀a:Univ.
∀b:Univ.
∀inverse:∀_:Univ.Univ.
∀multiply:∀_:Univ.∀_:Univ.Univ.
-∀H0:∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.∀E:Univ.∀F:Univ.eq Univ (multiply (inverse (multiply (inverse (multiply (inverse (multiply A B)) (multiply B A))) (multiply (inverse (multiply C D)) (multiply C (inverse (multiply (multiply E (inverse F)) (inverse D))))))) F) E.eq Univ (multiply a b) (multiply b a)
+∀H0:∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.∀E:Univ.∀F:Univ.eq Univ (multiply (inverse (multiply (inverse (multiply (inverse (multiply A B)) (multiply B A))) (multiply (inverse (multiply C D)) (multiply C (inverse (multiply (multiply E (inverse F)) (inverse D))))))) F) E.eq Univ (multiply a b) (multiply b a))
.
-#Univ.
-#A.
-#B.
-#C.
-#D.
-#E.
-#F.
-#a.
-#b.
-#inverse.
-#multiply.
-#H0.
-nauto by H0;
+#Univ ##.
+#A ##.
+#B ##.
+#C ##.
+#D ##.
+#E ##.
+#F ##.
+#a ##.
+#b ##.
+#inverse ##.
+#multiply ##.
+#H0 ##.
+nauto by H0 ##;
+ntry (nassumption) ##;
nqed.
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