(* -------------------------------------------------------------------------- *)
-(* File : RNG026-6 : TPTP v3.2.0. Released v1.0.0. *)
+(* File : RNG026-6 : TPTP v3.7.0. Released v1.0.0. *)
(* Domain : Ring Theory (Alternative) *)
(* Status : Unsatisfiable *)
-(* Rating : 0.50 v3.2.0, 0.57 v3.1.0, 0.33 v2.7.0, 0.64 v2.6.0, 0.50 v2.5.0, 0.25 v2.4.0, 0.67 v2.2.1, 0.89 v2.2.0, 0.86 v2.1.0, 0.88 v2.0.0 *)
+(* Rating : 0.56 v3.4.0, 0.62 v3.3.0, 0.50 v3.2.0, 0.57 v3.1.0, 0.33 v2.7.0, 0.64 v2.6.0, 0.50 v2.5.0, 0.25 v2.4.0, 0.67 v2.2.1, 0.89 v2.2.0, 0.86 v2.1.0, 0.88 v2.0.0 *)
(* Syntax : Number of clauses : 16 ( 0 non-Horn; 16 unit; 1 RR) *)
(* -------------------------------------------------------------------------- *)
-(* File : RNG003-0 : TPTP v3.2.0. Released v1.0.0. *)
+(* File : RNG003-0 : TPTP v3.7.0. Released v1.0.0. *)
(* Domain : Ring Theory (Alternative) *)
(* Syntax : Number of clauses : 15 ( 0 non-Horn; 15 unit; 0 RR) *)
-(* Number of literals : 15 ( 15 equality) *)
+(* Number of atoms : 15 ( 15 equality) *)
(* Maximal clause size : 1 ( 1 average) *)
(* -------------------------------------------------------------------------- *)
ntheorem prove_teichmuller_identity:
- ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
+ (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
∀a:Univ.
∀add:∀_:Univ.∀_:Univ.Univ.
∀additive_identity:Univ.
∀H11:∀X:Univ.eq Univ (multiply X additive_identity) additive_identity.
∀H12:∀X:Univ.eq Univ (multiply additive_identity X) additive_identity.
∀H13:∀X:Univ.eq Univ (add X additive_identity) X.
-∀H14:∀X:Univ.eq Univ (add additive_identity X) X.eq Univ (add (add (associator (multiply a b) c d) (associator a b (multiply c d))) (additive_inverse (add (add (associator a (multiply b c) d) (multiply a (associator b c d))) (multiply (associator a b c) d)))) additive_identity
+∀H14:∀X:Univ.eq Univ (add additive_identity X) X.eq Univ (add (add (associator (multiply a b) c d) (associator a b (multiply c d))) (additive_inverse (add (add (associator a (multiply b c) d) (multiply a (associator b c d))) (multiply (associator a b c) d)))) additive_identity)
.
-#Univ.
-#X.
-#Y.
-#Z.
-#a.
-#add.
-#additive_identity.
-#additive_inverse.
-#associator.
-#b.
-#c.
-#commutator.
-#d.
-#multiply.
-#H0.
-#H1.
-#H2.
-#H3.
-#H4.
-#H5.
-#H6.
-#H7.
-#H8.
-#H9.
-#H10.
-#H11.
-#H12.
-#H13.
-#H14.
-nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13,H14;
+#Univ ##.
+#X ##.
+#Y ##.
+#Z ##.
+#a ##.
+#add ##.
+#additive_identity ##.
+#additive_inverse ##.
+#associator ##.
+#b ##.
+#c ##.
+#commutator ##.
+#d ##.
+#multiply ##.
+#H0 ##.
+#H1 ##.
+#H2 ##.
+#H3 ##.
+#H4 ##.
+#H5 ##.
+#H6 ##.
+#H7 ##.
+#H8 ##.
+#H9 ##.
+#H10 ##.
+#H11 ##.
+#H12 ##.
+#H13 ##.
+#H14 ##.
+nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13,H14 ##;
+ntry (nassumption) ##;
nqed.
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