TPTP Problem File: SET105-6.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SET105-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% Domain : Set Theory
% Problem : Special member 3 of an ordered pair
% Version : [Qua92] axioms.
% English :
% Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% Source : [Quaife]
% Names :
% Status : Unsatisfiable
% Rating : 0.85 v8.2.0, 0.86 v8.1.0, 0.74 v7.4.0, 0.71 v7.3.0, 0.83 v7.1.0, 0.75 v7.0.0, 0.80 v6.3.0, 0.73 v6.2.0, 0.90 v6.1.0, 0.93 v6.0.0, 1.00 v5.5.0, 0.95 v5.3.0, 0.94 v5.0.0, 0.93 v4.1.0, 0.92 v4.0.1, 0.91 v3.7.0, 0.90 v3.5.0, 0.91 v3.4.0, 0.92 v3.3.0, 1.00 v3.1.0, 0.91 v2.7.0, 0.92 v2.6.0, 1.00 v2.1.0
% Syntax : Number of clauses : 94 ( 32 unt; 8 nHn; 65 RR)
% Number of literals : 184 ( 40 equ; 87 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 0 prp; 1-3 aty)
% Number of functors : 40 ( 40 usr; 10 con; 0-3 aty)
% Number of variables : 176 ( 25 sgn)
% SPC : CNF_UNS_RFO_SEQ_NHN
% Comments :
% Bugfixes : v2.1.0 - Bugfix in SET004-0.ax.
%--------------------------------------------------------------------------
%----Include von Neuman-Bernays-Godel set theory axioms
include('Axioms/SET004-0.ax').
%--------------------------------------------------------------------------
cnf(prove_property_3_of_ordered_pair_1,negated_conjecture,
unordered_pair(null_class,singleton(null_class)) != ordered_pair(x,y) ).
cnf(prove_property_3_of_ordered_pair_2,negated_conjecture,
~ member(x,universal_class) ).
cnf(prove_property_3_of_ordered_pair_3,negated_conjecture,
~ member(y,universal_class) ).
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