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-(* File : GRP416-1 : TPTP v3.2.0. Released v2.6.0. *)
+(* File : GRP416-1 : TPTP v3.7.0. Released v2.6.0. *)
(* Domain : Group Theory *)
(* Status : Unsatisfiable *)
-(* Rating : 0.07 v3.1.0, 0.11 v2.7.0, 0.00 v2.6.0 *)
+(* Rating : 0.11 v3.4.0, 0.12 v3.3.0, 0.07 v3.1.0, 0.11 v2.7.0, 0.00 v2.6.0 *)
(* Syntax : Number of clauses : 2 ( 0 non-Horn; 2 unit; 1 RR) *)
(* -------------------------------------------------------------------------- *)
ntheorem prove_these_axioms_2:
- ∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.
+ (∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.
∀a2:Univ.
∀b2:Univ.
∀inverse:∀_:Univ.Univ.
∀multiply:∀_:Univ.∀_:Univ.Univ.
-∀H0:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (inverse (multiply A (inverse (multiply (inverse (multiply (inverse (multiply B A)) (multiply B (inverse C)))) (inverse (multiply (inverse A) A)))))) C.eq Univ (multiply (multiply (inverse b2) b2) a2) a2
+∀H0:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (inverse (multiply A (inverse (multiply (inverse (multiply (inverse (multiply B A)) (multiply B (inverse C)))) (inverse (multiply (inverse A) A)))))) C.eq Univ (multiply (multiply (inverse b2) b2) a2) a2)
.
-#Univ.
-#A.
-#B.
-#C.
-#a2.
-#b2.
-#inverse.
-#multiply.
-#H0.
-nauto by H0;
+#Univ ##.
+#A ##.
+#B ##.
+#C ##.
+#a2 ##.
+#b2 ##.
+#inverse ##.
+#multiply ##.
+#H0 ##.
+nauto by H0 ##;
+ntry (nassumption) ##;
nqed.
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