TPTP Problem File: SET074-6.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SET074-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% Domain : Set Theory
% Problem : Corollary to unordered pair axiom
% Version : [Qua92] axioms.
% English :
% Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% Source : [Quaife]
% Names :
% Status : Unsatisfiable
% Rating : 0.20 v8.2.0, 0.24 v8.1.0, 0.11 v7.5.0, 0.21 v7.4.0, 0.24 v7.3.0, 0.25 v7.1.0, 0.17 v7.0.0, 0.27 v6.4.0, 0.33 v6.3.0, 0.18 v6.2.0, 0.30 v6.1.0, 0.29 v6.0.0, 0.20 v5.5.0, 0.50 v5.3.0, 0.39 v5.2.0, 0.38 v5.1.0, 0.35 v5.0.0, 0.36 v4.1.0, 0.38 v4.0.1, 0.55 v3.7.0, 0.40 v3.5.0, 0.45 v3.4.0, 0.33 v3.3.0, 0.29 v3.2.0, 0.15 v3.1.0, 0.27 v2.7.0, 0.25 v2.6.0, 0.11 v2.5.0, 0.18 v2.4.0, 0.12 v2.2.1, 0.17 v2.2.0, 0.33 v2.1.0
% Syntax : Number of clauses : 93 ( 31 unt; 8 nHn; 64 RR)
% Number of literals : 183 ( 40 equ; 84 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_corollary_to_unordered_pair_axiom2_1,negated_conjecture,
member(y,universal_class) ).
cnf(prove_corollary_to_unordered_pair_axiom2_2,negated_conjecture,
unordered_pair(x,y) = null_class ).
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