## TPTP Problem File: BOO027-1.p

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```%--------------------------------------------------------------------------
% File     : BOO027-1 : TPTP v8.0.0. Released v2.2.0.
% Domain   : Boolean Algebra
% Problem  : Independence of self-dual 2-basis.
% Version  : [MP96] (eqiality) axioms : Especial.
% English  : Show that half of the self-dual 2-basis in DUAL-BA-3 is not
%            a basis for Boolean Algebra.

% Refs     : [McC98] McCune (1998), Email to G. Sutcliffe
%          : [MP96]  McCune & Padmanabhan (1996), Automated Deduction in Eq
% Source   : [McC98]
% Names    : DUAL-BA-4 [MP96]

% Status   : Satisfiable
% Rating   : 0.00 v6.1.0, 0.20 v6.0.0, 0.00 v5.5.0, 0.20 v5.4.0, 0.25 v5.3.0, 0.33 v5.2.0, 0.00 v3.2.0, 0.33 v3.1.0, 0.00 v2.2.1
% Syntax   : Number of clauses     :    6 (   6 unt;   0 nHn;   1 RR)
%            Number of literals    :    6 (   6 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    1 (   0 usr;   0 prp; 2-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)
% SPC      : CNF_SAT_RFO_PEQ_UEQ

% Comments : There is a 2-element model.
%--------------------------------------------------------------------------
%----Two properties of Boolean algebra:

add(X,inverse(X)) = one ).

%----Pixley properties:
cnf(pixley1,axiom,