--- /dev/null
+include "logic/equality.ma".
+
+(* Inclusion of: BOO076-1.p *)
+
+(* -------------------------------------------------------------------------- *)
+
+(* File : BOO076-1 : TPTP v3.2.0. Released v2.6.0. *)
+
+(* Domain : Boolean Algebra *)
+
+(* Problem : Sh-1 is a single axiom for Boolean algebra, part 2 *)
+
+(* Version : [EF+02] axioms. *)
+
+(* English : *)
+
+(* Refs : [EF+02] Ernst et al. (2002), More First-order Test Problems in *)
+
+(* : [MV+02] McCune et al. (2002), Short Single Axioms for Boolean *)
+
+(* Source : [TPTP] *)
+
+(* Names : *)
+
+(* Status : Unsatisfiable *)
+
+(* Rating : 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) *)
+
+(* Number of atoms : 2 ( 2 equality) *)
+
+(* Maximal clause size : 1 ( 1 average) *)
+
+(* Number of predicates : 1 ( 0 propositional; 2-2 arity) *)
+
+(* Number of functors : 4 ( 3 constant; 0-2 arity) *)
+
+(* Number of variables : 3 ( 1 singleton) *)
+
+(* Maximal term depth : 5 ( 4 average) *)
+
+(* Comments : A UEQ part of BOO039-1 *)
+
+(* -------------------------------------------------------------------------- *)
+ntheorem prove_meredith_2_basis_2:
+ ∀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)
+.
+#Univ.
+#A.
+#B.
+#C.
+#a.
+#b.
+#c.
+#nand.
+#H0.
+nauto by H0;
+nqed.
+
+(* -------------------------------------------------------------------------- *)