(* -------------------------------------------------------------------------- *)
-(* File : LAT027-1 : TPTP v3.2.0. Released v2.2.0. *)
+(* File : LAT027-1 : TPTP v3.7.0. Released v2.2.0. *)
(* Domain : Lattice Theory (Weakly Associative Lattices) *)
(* Status : Unsatisfiable *)
-(* Rating : 0.07 v3.1.0, 0.00 v2.7.0, 0.09 v2.6.0, 0.00 v2.2.1 *)
+(* Rating : 0.00 v3.3.0, 0.07 v3.1.0, 0.00 v2.7.0, 0.09 v2.6.0, 0.00 v2.2.1 *)
(* Syntax : Number of clauses : 8 ( 0 non-Horn; 8 unit; 1 RR) *)
(* ------------------------------------------------------------------------------ *)
-(* File : LAT005-0 : TPTP v3.2.0. Released v2.2.0. *)
+(* File : LAT005-0 : TPTP v3.7.0. Released v2.2.0. *)
(* Domain : Lattice Theory (Weakly Associative Lattices) *)
(* Syntax : Number of clauses : 6 ( 0 non-Horn; 6 unit; 0 RR) *)
-(* Number of literals : 6 ( 6 equality) *)
+(* Number of atoms : 6 ( 6 equality) *)
(* Maximal clause size : 1 ( 1 average) *)
(* ----Denial of associativity of join: *)
ntheorem prove_associativity_of_join:
- ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
+ (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
∀a:Univ.
∀b:Univ.
∀c:Univ.
∀H3:∀X:Univ.∀Y:Univ.eq Univ (join X Y) (join Y X).
∀H4:∀X:Univ.∀Y:Univ.eq Univ (meet X Y) (meet Y X).
∀H5:∀X:Univ.eq Univ (join X X) X.
-∀H6:∀X:Univ.eq Univ (meet X X) X.eq Univ (join (join a b) c) (join a (join b c))
+∀H6:∀X:Univ.eq Univ (meet X X) X.eq Univ (join (join a b) c) (join a (join b c)))
.
-#Univ.
-#X.
-#Y.
-#Z.
-#a.
-#b.
-#c.
-#join.
-#meet.
-#H0.
-#H1.
-#H2.
-#H3.
-#H4.
-#H5.
-#H6.
-nauto by H0,H1,H2,H3,H4,H5,H6;
+#Univ ##.
+#X ##.
+#Y ##.
+#Z ##.
+#a ##.
+#b ##.
+#c ##.
+#join ##.
+#meet ##.
+#H0 ##.
+#H1 ##.
+#H2 ##.
+#H3 ##.
+#H4 ##.
+#H5 ##.
+#H6 ##.
+nauto by H0,H1,H2,H3,H4,H5,H6 ##;
+ntry (nassumption) ##;
nqed.
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