TPTP Problem File: SET119-6.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SET119-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% Domain : Set Theory
% Problem : Corollary 1 to components of equal ordered pairs being equal
% Version : [Qua92] axioms.
% English :
% Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% Source : [Quaife]
% Names : OP10 cor. [Qua92]
% Status : Unknown
% Rating : 1.00 v2.1.0
% Syntax : Number of clauses : 93 ( 31 unt; 8 nHn; 64 RR)
% Number of literals : 183 ( 40 equ; 86 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_UNK_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_1_to_OP_determines_components1_1,negated_conjecture,
~ member(x,universal_class) ).
cnf(prove_corollary_1_to_OP_determines_components1_2,negated_conjecture,
first(ordered_pair(x,y)) != ordered_pair(x,y) ).
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