(* -------------------------------------------------------------------------- *)
-(* File : BOO034-1 : TPTP v3.2.0. Released v2.2.0. *)
+(* File : BOO034-1 : TPTP v3.7.0. Released v2.2.0. *)
(* Domain : Boolean Algebra (Ternary) *)
(* Status : Unsatisfiable *)
-(* Rating : 0.29 v3.2.0, 0.21 v3.1.0, 0.11 v2.7.0, 0.27 v2.6.0, 0.33 v2.5.0, 0.00 v2.2.1 *)
+(* Rating : 0.44 v3.4.0, 0.50 v3.3.0, 0.29 v3.2.0, 0.21 v3.1.0, 0.11 v2.7.0, 0.27 v2.6.0, 0.33 v2.5.0, 0.00 v2.2.1 *)
(* Syntax : Number of clauses : 6 ( 0 non-Horn; 6 unit; 1 RR) *)
(* -------------------------------------------------------------------------- *)
-(* File : BOO001-0 : TPTP v3.2.0. Released v1.0.0. *)
+(* File : BOO001-0 : TPTP v3.7.0. Released v1.0.0. *)
(* Domain : Algebra (Ternary Boolean) *)
(* Syntax : Number of clauses : 5 ( 0 non-Horn; 5 unit; 0 RR) *)
-(* Number of literals : 5 ( 5 equality) *)
+(* Number of atoms : 5 ( 5 equality) *)
(* Maximal clause size : 1 ( 1 average) *)
(* ----Denial of single axiom: *)
ntheorem prove_single_axiom:
- ∀Univ:Type.∀V:Univ.∀W:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ.
+ (∀Univ:Type.∀V:Univ.∀W:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ.
∀a:Univ.
∀b:Univ.
∀c:Univ.
∀H1:∀X:Univ.∀Y:Univ.eq Univ (multiply (inverse Y) Y X) X.
∀H2:∀X:Univ.∀Y:Univ.eq Univ (multiply X X Y) X.
∀H3:∀X:Univ.∀Y:Univ.eq Univ (multiply Y X X) X.
-∀H4:∀V:Univ.∀W:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply V W X) Y (multiply V W Z)) (multiply V W (multiply X Y Z)).eq Univ (multiply (multiply a (inverse a) b) (inverse (multiply (multiply c d e) f (multiply c d g))) (multiply d (multiply g f e) c)) b
+∀H4:∀V:Univ.∀W:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply V W X) Y (multiply V W Z)) (multiply V W (multiply X Y Z)).eq Univ (multiply (multiply a (inverse a) b) (inverse (multiply (multiply c d e) f (multiply c d g))) (multiply d (multiply g f e) c)) b)
.
-#Univ.
-#V.
-#W.
-#X.
-#Y.
-#Z.
-#a.
-#b.
-#c.
-#d.
-#e.
-#f.
-#g.
-#inverse.
-#multiply.
-#H0.
-#H1.
-#H2.
-#H3.
-#H4.
-nauto by H0,H1,H2,H3,H4;
+#Univ ##.
+#V ##.
+#W ##.
+#X ##.
+#Y ##.
+#Z ##.
+#a ##.
+#b ##.
+#c ##.
+#d ##.
+#e ##.
+#f ##.
+#g ##.
+#inverse ##.
+#multiply ##.
+#H0 ##.
+#H1 ##.
+#H2 ##.
+#H3 ##.
+#H4 ##.
+nauto by H0,H1,H2,H3,H4 ##;
+ntry (nassumption) ##;
nqed.
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