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-(* File : BOO076-1 : TPTP v3.2.0. Released v2.6.0. *)
+(* File : BOO076-1 : TPTP v3.7.0. Released v2.6.0. *)
(* Domain : Boolean Algebra *)
(* Status : Unsatisfiable *)
-(* Rating : 0.71 v3.1.0, 0.78 v2.7.0, 0.91 v2.6.0 *)
+(* Rating : 0.67 v3.4.0, 0.88 v3.3.0, 0.71 v3.1.0, 0.78 v2.7.0, 0.91 v2.6.0 *)
(* Syntax : Number of clauses : 2 ( 0 non-Horn; 2 unit; 1 RR) *)
(* -------------------------------------------------------------------------- *)
ntheorem prove_meredith_2_basis_2:
- ∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.
+ (∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.
∀a:Univ.
∀b:Univ.
∀c:Univ.
∀nand:∀_:Univ.∀_:Univ.Univ.
-∀H0:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (nand (nand A (nand (nand B A) A)) (nand B (nand C A))) B.eq Univ (nand a (nand b (nand a c))) (nand (nand (nand c b) b) a)
+∀H0:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (nand (nand A (nand (nand B A) A)) (nand B (nand C A))) B.eq Univ (nand a (nand b (nand a c))) (nand (nand (nand c b) b) a))
.
-#Univ.
-#A.
-#B.
-#C.
-#a.
-#b.
-#c.
-#nand.
-#H0.
-nauto by H0;
+#Univ ##.
+#A ##.
+#B ##.
+#C ##.
+#a ##.
+#b ##.
+#c ##.
+#nand ##.
+#H0 ##.
+nauto by H0 ##;
+ntry (nassumption) ##;
nqed.
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