TPTP Problem File: SET066-6.p
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%------------------------------------------------------------------------------
% File : SET066-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% Domain : Set Theory
% Problem : Unordered pair is commutative
% Version : [Qua92] axioms.
% English :
% Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% Source : [Quaife]
% Names :
% Status : Unsatisfiable
% Rating : 0.75 v9.0.0, 0.70 v8.2.0, 0.76 v8.1.0, 0.63 v7.5.0, 0.74 v7.4.0, 0.71 v7.3.0, 0.75 v7.0.0, 0.87 v6.3.0, 0.91 v6.2.0, 1.00 v3.1.0, 0.91 v2.7.0, 1.00 v2.1.0
% Syntax : Number of clauses : 92 ( 30 unt; 8 nHn; 63 RR)
% Number of literals : 182 ( 40 equ; 85 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.
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%----Include von Neuman-Bernays-Godel set theory axioms
include('Axioms/SET004-0.ax').
%------------------------------------------------------------------------------
cnf(prove_commutativity_of_unordered_pair_1,negated_conjecture,
unordered_pair(x,y) != unordered_pair(y,x) ).
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