(* -------------------------------------------------------------------------- *)
-(* File : LAT020-1 : TPTP v3.2.0. Released v2.2.0. *)
+(* File : LAT020-1 : TPTP v3.7.0. Released v2.2.0. *)
(* Domain : Lattice Theory (Quasilattices) *)
(* Status : Unsatisfiable *)
-(* Rating : 0.50 v3.1.0, 0.44 v2.7.0, 0.55 v2.6.0, 0.33 v2.5.0, 0.25 v2.4.0, 0.33 v2.3.0, 0.67 v2.2.1 *)
+(* Rating : 0.44 v3.4.0, 0.50 v3.1.0, 0.44 v2.7.0, 0.55 v2.6.0, 0.33 v2.5.0, 0.25 v2.4.0, 0.33 v2.3.0, 0.67 v2.2.1 *)
(* Syntax : Number of clauses : 10 ( 0 non-Horn; 10 unit; 1 RR) *)
(* -------------------------------------------------------------------------- *)
-(* File : LAT004-0 : TPTP v3.2.0. Released v2.2.0. *)
+(* File : LAT004-0 : TPTP v3.7.0. Released v2.2.0. *)
(* Domain : Lattice Theory (Quasilattices) *)
(* 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 ordinary distributivity: *)
ntheorem prove_distributivity:
- ∀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 Y) (join Y X).
∀H6:∀X:Univ.∀Y:Univ.eq Univ (meet X Y) (meet 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 c)) (join (meet a b) (meet a c))
+∀H8:∀X:Univ.eq Univ (meet X X) X.eq Univ (meet a (join b c)) (join (meet a b) (meet a c)))
.
-#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.
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