(* ------------------------------------------------------------------------------ *)
-(* File : LAT171-1 : TPTP v3.2.0. Released v3.1.0. *)
+(* File : LAT171-1 : TPTP v3.7.0. Released v3.1.0. *)
(* Domain : Lattice Theory *)
(* Status : Unsatisfiable *)
-(* Rating : 0.57 v3.2.0, 0.50 v3.1.0 *)
+(* Rating : 0.33 v3.4.0, 0.25 v3.3.0, 0.57 v3.2.0, 0.50 v3.1.0 *)
(* Syntax : Number of clauses : 10 ( 0 non-Horn; 10 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) *)
(* ------------------------------------------------------------------------------ *)
ntheorem prove_H6:
- ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
+ (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
∀a:Univ.
∀b:Univ.
∀c:Univ.
∀H5:∀X:Univ.∀Y:Univ.eq Univ (join X (meet X Y)) X.
∀H6:∀X:Univ.∀Y:Univ.eq Univ (meet X (join X Y)) X.
∀H7:∀X:Univ.eq Univ (join X X) X.
-∀H8:∀X:Univ.eq Univ (meet X X) X.eq Univ (meet a (join b (meet a c))) (meet a (join (meet a (join b (meet a c))) (meet c (join a b))))
+∀H8:∀X:Univ.eq Univ (meet X X) X.eq Univ (meet a (join b (meet a c))) (meet a (join (meet a (join b (meet a c))) (meet c (join a b)))))
.
-#Univ.
-#X.
-#Y.
-#Z.
-#a.
-#b.
-#c.
-#join.
-#meet.
-#H0.
-#H1.
-#H2.
-#H3.
-#H4.
-#H5.
-#H6.
-#H7.
-#H8.
-nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8;
+#Univ ##.
+#X ##.
+#Y ##.
+#Z ##.
+#a ##.
+#b ##.
+#c ##.
+#join ##.
+#meet ##.
+#H0 ##.
+#H1 ##.
+#H2 ##.
+#H3 ##.
+#H4 ##.
+#H5 ##.
+#H6 ##.
+#H7 ##.
+#H8 ##.
+nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8 ##;
+ntry (nassumption) ##;
nqed.
(* ------------------------------------------------------------------------------ *)