-ng implemented

[helm.git] / helm / software / matita / contribs / ng_TPTP / BOO092-1.ma

diff --git a/helm/software/matita/contribs/ng_TPTP/BOO092-1.ma b/helm/software/matita/contribs/ng_TPTP/BOO092-1.ma
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+include "logic/equality.ma".
+
+(* Inclusion of: BOO092-1.p *)
+
+(* -------------------------------------------------------------------------- *)
+
+(*  File     : BOO092-1 : TPTP v3.2.0. Released v2.6.0. *)
+
+(*  Domain   : Boolean Algebra *)
+
+(*  Problem  : Axiom C8 for Boolean algebra in the Sheffer stroke, 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   : Unknown *)
+
+(*  Rating   : 1.00 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 BOO047-1 *)
+
+(* -------------------------------------------------------------------------- *)
+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 (nand A (nand A B)) 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.
+
+(* -------------------------------------------------------------------------- *)