(* -------------------------------------------------------------------------- *)
-(* File : GRP201-1 : TPTP v3.2.0. Released v2.2.0. *)
+(* File : GRP201-1 : TPTP v3.7.0. Released v2.2.0. *)
(* Domain : Group Theory (Loops) *)
(* Status : Unsatisfiable *)
-(* Rating : 0.36 v3.1.0, 0.44 v2.7.0, 0.36 v2.6.0, 0.00 v2.2.1 *)
+(* Rating : 0.22 v3.4.0, 0.25 v3.3.0, 0.36 v3.1.0, 0.44 v2.7.0, 0.36 v2.6.0, 0.00 v2.2.1 *)
(* Syntax : Number of clauses : 10 ( 0 non-Horn; 10 unit; 1 RR) *)
(* ----Denial of Moufang-3: *)
ntheorem prove_moufang3:
- ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
+ (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
∀a:Univ.
∀b:Univ.
∀c:Univ.
∀H5:∀X:Univ.∀Y:Univ.eq Univ (left_division X (multiply X Y)) Y.
∀H6:∀X:Univ.∀Y:Univ.eq Univ (multiply X (left_division X Y)) Y.
∀H7:∀X:Univ.eq Univ (multiply X identity) X.
-∀H8:∀X:Univ.eq Univ (multiply identity X) X.eq Univ (multiply (multiply (multiply a b) a) c) (multiply a (multiply b (multiply a c)))
+∀H8:∀X:Univ.eq Univ (multiply identity X) X.eq Univ (multiply (multiply (multiply a b) a) c) (multiply a (multiply b (multiply a c))))
.
-#Univ.
-#X.
-#Y.
-#Z.
-#a.
-#b.
-#c.
-#identity.
-#left_division.
-#left_inverse.
-#multiply.
-#right_division.
-#right_inverse.
-#H0.
-#H1.
-#H2.
-#H3.
-#H4.
-#H5.
-#H6.
-#H7.
-#H8.
-nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8;
+#Univ ##.
+#X ##.
+#Y ##.
+#Z ##.
+#a ##.
+#b ##.
+#c ##.
+#identity ##.
+#left_division ##.
+#left_inverse ##.
+#multiply ##.
+#right_division ##.
+#right_inverse ##.
+#H0 ##.
+#H1 ##.
+#H2 ##.
+#H3 ##.
+#H4 ##.
+#H5 ##.
+#H6 ##.
+#H7 ##.
+#H8 ##.
+nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8 ##;
+ntry (nassumption) ##;
nqed.
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