(* -------------------------------------------------------------------------- *)
-(* File : LCL109-2 : TPTP v3.2.0. Released v1.0.0. *)
+(* File : LCL109-2 : TPTP v3.7.0. Released v1.0.0. *)
(* Domain : Logic Calculi (Many valued sentential) *)
(* Status : Unsatisfiable *)
-(* Rating : 0.29 v3.1.0, 0.22 v2.7.0, 0.27 v2.6.0, 0.17 v2.5.0, 0.00 v2.4.0, 0.33 v2.2.1, 0.56 v2.2.0, 0.71 v2.1.0, 1.00 v2.0.0 *)
+(* Rating : 0.22 v3.4.0, 0.25 v3.3.0, 0.29 v3.1.0, 0.22 v2.7.0, 0.27 v2.6.0, 0.17 v2.5.0, 0.00 v2.4.0, 0.33 v2.2.1, 0.56 v2.2.0, 0.71 v2.1.0, 1.00 v2.0.0 *)
(* Syntax : Number of clauses : 5 ( 0 non-Horn; 5 unit; 1 RR) *)
(* -------------------------------------------------------------------------- *)
-(* File : LCL001-0 : TPTP v3.2.0. Released v1.0.0. *)
+(* File : LCL001-0 : TPTP v3.7.0. Released v1.0.0. *)
(* Domain : Logic Calculi (Wajsberg Algebras) *)
(* Syntax : Number of clauses : 4 ( 0 non-Horn; 4 unit; 0 RR) *)
-(* Number of literals : 4 ( 4 equality) *)
+(* Number of atoms : 4 ( 4 equality) *)
(* Maximal clause size : 1 ( 1 average) *)
(* -------------------------------------------------------------------------- *)
ntheorem prove_wajsberg_mv_4:
- ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
+ (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
∀a:Univ.
∀b:Univ.
∀implies:∀_:Univ.∀_:Univ.Univ.
∀H0:∀X:Univ.∀Y:Univ.eq Univ (implies (implies (not X) (not Y)) (implies Y X)) truth.
∀H1:∀X:Univ.∀Y:Univ.eq Univ (implies (implies X Y) Y) (implies (implies Y X) X).
∀H2:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (implies (implies X Y) (implies (implies Y Z) (implies X Z))) truth.
-∀H3:∀X:Univ.eq Univ (implies truth X) X.eq Univ (implies (implies (implies a b) (implies b a)) (implies b a)) truth
+∀H3:∀X:Univ.eq Univ (implies truth X) X.eq Univ (implies (implies (implies a b) (implies b a)) (implies b a)) truth)
.
-#Univ.
-#X.
-#Y.
-#Z.
-#a.
-#b.
-#implies.
-#not.
-#truth.
-#H0.
-#H1.
-#H2.
-#H3.
-nauto by H0,H1,H2,H3;
+#Univ ##.
+#X ##.
+#Y ##.
+#Z ##.
+#a ##.
+#b ##.
+#implies ##.
+#not ##.
+#truth ##.
+#H0 ##.
+#H1 ##.
+#H2 ##.
+#H3 ##.
+nauto by H0,H1,H2,H3 ##;
+ntry (nassumption) ##;
nqed.
(* -------------------------------------------------------------------------- *)