TPTP Problem File: SET100-6.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SET100-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% Domain : Set Theory
% Problem : The relationship of singleton sets to ordered pairs
% Version : [Qua92] axioms.
% English :
% Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% Source : [TPTP]
% Names :
% Status : Unsatisfiable
% Rating : 0.90 v8.2.0, 0.95 v8.1.0, 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 : Not in [Qua92].
% Bugfixes : v2.1.0 - Bugfix in SET004-0.ax.
%--------------------------------------------------------------------------
%----Include von Neuman-Bernays-Godel set theory axioms
include('Axioms/SET004-0.ax').
%--------------------------------------------------------------------------
cnf(prove_unordered_pairs_and_singletons_1,negated_conjecture,
unordered_pair(x,y) != union(singleton(x),singleton(y)) ).
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