(* -------------------------------------------------------------------------- *)
-(* File : LAT043-1 : TPTP v3.2.0. Released v2.5.0. *)
+(* File : LAT043-1 : TPTP v3.7.0. Released v2.5.0. *)
(* Domain : Lattice Theory *)
(* Status : Unsatisfiable *)
-(* Rating : 0.00 v2.5.0 *)
+(* Rating : 0.11 v3.4.0, 0.00 v2.5.0 *)
(* Syntax : Number of clauses : 13 ( 0 non-Horn; 13 unit; 1 RR) *)
(* -------------------------------------------------------------------------- *)
-(* File : LAT001-0 : TPTP v3.2.0. Released v1.0.0. *)
+(* File : LAT001-0 : TPTP v3.7.0. Released v1.0.0. *)
(* Domain : Lattice Theory *)
(* Syntax : Number of clauses : 8 ( 0 non-Horn; 8 unit; 0 RR) *)
-(* Number of literals : 8 ( 8 equality) *)
+(* Number of atoms : 8 ( 8 equality) *)
(* Maximal clause size : 1 ( 1 average) *)
(* ----Denial of compatability *)
ntheorem prove_compatability_law:
- ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
+ (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
∀c:Univ.
∀complement:∀_:Univ.Univ.
∀d:Univ.
∀H8:∀X:Univ.∀Y:Univ.eq Univ (join X (meet X Y)) X.
∀H9:∀X:Univ.∀Y:Univ.eq Univ (meet X (join X Y)) X.
∀H10:∀X:Univ.eq Univ (join X X) X.
-∀H11:∀X:Univ.eq Univ (meet X X) X.eq Univ (complement (join c d)) (meet (complement c) (complement d))
+∀H11:∀X:Univ.eq Univ (meet X X) X.eq Univ (complement (join c d)) (meet (complement c) (complement d)))
.
-#Univ.
-#X.
-#Y.
-#Z.
-#c.
-#complement.
-#d.
-#join.
-#meet.
-#n0.
-#n1.
-#H0.
-#H1.
-#H2.
-#H3.
-#H4.
-#H5.
-#H6.
-#H7.
-#H8.
-#H9.
-#H10.
-#H11.
-nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11;
+#Univ ##.
+#X ##.
+#Y ##.
+#Z ##.
+#c ##.
+#complement ##.
+#d ##.
+#join ##.
+#meet ##.
+#n0 ##.
+#n1 ##.
+#H0 ##.
+#H1 ##.
+#H2 ##.
+#H3 ##.
+#H4 ##.
+#H5 ##.
+#H6 ##.
+#H7 ##.
+#H8 ##.
+#H9 ##.
+#H10 ##.
+#H11 ##.
+nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11 ##;
+ntry (nassumption) ##;
nqed.
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