%--------------------------------------------------------------------------
% File     : SET012-2 : TPTP v8.2.0. Bugfixed v2.1.0.
% Domain   : Set Theory
% Problem  : Complement is an involution
% Version  : [MOW76] axioms : Especial.
%            Theorem formulation : Modified.
% English  :

% Refs     : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% Source   : [ANL]
% Names    : compl.ver1.in [ANL]

% Status   : Unsatisfiable
% Rating   : 0.17 v8.2.0, 0.14 v8.1.0, 0.00 v7.4.0, 0.33 v7.0.0, 0.25 v6.3.0, 0.29 v6.2.0, 0.11 v6.1.0, 0.14 v6.0.0, 0.29 v5.5.0, 0.38 v5.4.0, 0.40 v5.2.0, 0.20 v5.1.0, 0.36 v5.0.0, 0.43 v4.1.0, 0.38 v4.0.1, 0.40 v4.0.0, 0.43 v3.4.0, 0.25 v3.3.0, 0.33 v2.7.0, 0.25 v2.6.0, 0.67 v2.5.0, 0.00 v2.1.0
% Syntax   : Number of clauses     :   24 (   6 unt;   3 nHn;  18 RR)
%            Number of literals    :   48 (   0 equ;  24 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   4 usr;   0 prp; 2-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   48 (   5 sgn)
% SPC      : CNF_UNS_RFO_NEQ_NHN

% Comments :
% Bugfixes : v2.1.0 - Bugfix in SET002-0.eq
%--------------------------------------------------------------------------
%----Include set axioms
include('Axioms/SET002-0.ax').
%--------------------------------------------------------------------------
cnf(complement_of_a_is_b,hypothesis,
    equal_sets(complement(a),b) ).

cnf(complement_of_b_is_c,hypothesis,
    equal_sets(complement(b),c) ).

cnf(prove_a_equals_c,negated_conjecture,
    ~ equal_sets(a,c) ).

%--------------------------------------------------------------------------