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-(* File : GRP470-1 : TPTP v3.2.0. Released v2.6.0. *)
+(* File : GRP470-1 : TPTP v3.7.0. Released v2.6.0. *)
(* Domain : Group Theory *)
(* Status : Unsatisfiable *)
-(* Rating : 0.29 v3.2.0, 0.21 v3.1.0, 0.11 v2.7.0, 0.18 v2.6.0 *)
+(* Rating : 0.22 v3.4.0, 0.25 v3.3.0, 0.29 v3.2.0, 0.21 v3.1.0, 0.11 v2.7.0, 0.18 v2.6.0 *)
(* Syntax : Number of clauses : 3 ( 0 non-Horn; 3 unit; 1 RR) *)
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ntheorem prove_these_axioms_2:
- ∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.
+ (∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.
∀a2:Univ.
∀b2:Univ.
∀divide:∀_:Univ.∀_:Univ.Univ.
∀inverse:∀_:Univ.Univ.
∀multiply:∀_:Univ.∀_:Univ.Univ.
∀H0:∀A:Univ.∀B:Univ.eq Univ (multiply A B) (divide A (inverse B)).
-∀H1:∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.eq Univ (divide (inverse (divide A (divide B (divide C D)))) (divide (divide D C) A)) B.eq Univ (multiply (multiply (inverse b2) b2) a2) a2
+∀H1:∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.eq Univ (divide (inverse (divide A (divide B (divide C D)))) (divide (divide D C) A)) B.eq Univ (multiply (multiply (inverse b2) b2) a2) a2)
.
-#Univ.
-#A.
-#B.
-#C.
-#D.
-#a2.
-#b2.
-#divide.
-#inverse.
-#multiply.
-#H0.
-#H1.
-nauto by H0,H1;
+#Univ ##.
+#A ##.
+#B ##.
+#C ##.
+#D ##.
+#a2 ##.
+#b2 ##.
+#divide ##.
+#inverse ##.
+#multiply ##.
+#H0 ##.
+#H1 ##.
+nauto by H0,H1 ##;
+ntry (nassumption) ##;
nqed.
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