(* -------------------------------------------------------------------------- *)
-(* File : BOO028-1 : TPTP v3.2.0. Released v2.2.0. *)
+(* File : BOO028-1 : TPTP v3.7.0. Released v2.2.0. *)
(* Domain : Boolean Algebra *)
(* Status : Unsatisfiable *)
-(* Rating : 0.14 v3.2.0, 0.07 v3.1.0, 0.00 v2.7.0, 0.09 v2.6.0, 0.00 v2.2.1 *)
+(* Rating : 0.11 v3.4.0, 0.12 v3.3.0, 0.14 v3.2.0, 0.07 v3.1.0, 0.00 v2.7.0, 0.09 v2.6.0, 0.00 v2.2.1 *)
(* Syntax : Number of clauses : 11 ( 0 non-Horn; 11 unit; 1 RR) *)
(* ----Denial of conclusion: *)
ntheorem prove_multiply_add_property:
- ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
+ (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
∀a:Univ.
∀add:∀_:Univ.∀_:Univ.Univ.
∀b:Univ.
∀H6:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply X (add Y (add X Z))) X.
∀H7:∀X:Univ.∀Y:Univ.eq Univ (multiply (add X Y) (add X (inverse Y))) X.
∀H8:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add (add (multiply X Y) (multiply Y Z)) Y) Y.
-∀H9:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add X (multiply Y (multiply X Z))) X.eq Univ (multiply a (add b c)) (add (multiply b a) (multiply c a))
+∀H9:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add X (multiply Y (multiply X Z))) X.eq Univ (multiply a (add b c)) (add (multiply b a) (multiply c a)))
.
-#Univ.
-#X.
-#Y.
-#Z.
-#a.
-#add.
-#b.
-#c.
-#inverse.
-#multiply.
-#H0.
-#H1.
-#H2.
-#H3.
-#H4.
-#H5.
-#H6.
-#H7.
-#H8.
-#H9.
-nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9;
+#Univ ##.
+#X ##.
+#Y ##.
+#Z ##.
+#a ##.
+#add ##.
+#b ##.
+#c ##.
+#inverse ##.
+#multiply ##.
+#H0 ##.
+#H1 ##.
+#H2 ##.
+#H3 ##.
+#H4 ##.
+#H5 ##.
+#H6 ##.
+#H7 ##.
+#H8 ##.
+#H9 ##.
+nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9 ##;
+ntry (nassumption) ##;
nqed.
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