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-(* File : GRP204-1 : TPTP v3.2.0. Released v2.2.0. *)
+(* File : GRP204-1 : TPTP v3.7.0. Released v2.2.0. *)
(* Domain : Group Theory (Loops) *)
(* ----Denial of Moufang-2: *)
ntheorem prove_moufang2:
- ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
+ (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
∀a:Univ.
∀b:Univ.
∀c:Univ.
∀multiply:∀_:Univ.∀_:Univ.Univ.
∀H0:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply X (multiply Y Z)) X) (multiply (multiply X Y) (multiply Z X)).
∀H1:∀X:Univ.eq Univ (multiply (left_inverse X) X) identity.
-∀H2:∀X:Univ.eq Univ (multiply identity X) X.eq Univ (multiply (multiply (multiply a b) c) b) (multiply a (multiply b (multiply c b)))
+∀H2:∀X:Univ.eq Univ (multiply identity X) X.eq Univ (multiply (multiply (multiply a b) c) b) (multiply a (multiply b (multiply c b))))
.
-#Univ.
-#X.
-#Y.
-#Z.
-#a.
-#b.
-#c.
-#identity.
-#left_inverse.
-#multiply.
-#H0.
-#H1.
-#H2.
-nauto by H0,H1,H2;
+#Univ ##.
+#X ##.
+#Y ##.
+#Z ##.
+#a ##.
+#b ##.
+#c ##.
+#identity ##.
+#left_inverse ##.
+#multiply ##.
+#H0 ##.
+#H1 ##.
+#H2 ##.
+nauto by H0,H1,H2 ##;
+ntry (nassumption) ##;
nqed.
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