TPTP Problem File: SET055+1.p
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%--------------------------------------------------------------------------
% File : SET055+1 : TPTP v9.0.0. Bugfixed v5.4.0.
% Domain : Set Theory
% Problem : Reflexivity of equality
% Version : [Qua92] axioms : Reduced & Augmented > Complete.
% English :
% Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% : [BL+86] Boyer et al. (1986), Set Theory in First-Order Logic:
% Source : [Qua92]
% Names :
% Status : Theorem
% Rating : 0.06 v8.1.0, 0.03 v7.4.0, 0.00 v7.0.0, 0.03 v6.4.0, 0.04 v6.3.0, 0.08 v6.1.0, 0.10 v6.0.0, 0.09 v5.5.0, 0.11 v5.4.0
% Syntax : Number of formulae : 44 ( 17 unt; 0 def)
% Number of atoms : 101 ( 20 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 62 ( 5 ~; 3 |; 26 &)
% ( 19 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 0 prp; 1-2 aty)
% Number of functors : 26 ( 26 usr; 5 con; 0-3 aty)
% Number of variables : 87 ( 82 !; 5 ?)
% SPC : FOF_THM_RFO_SEQ
% Comments :
% Bugfixed : v5.4.0 - Bugfixes to SET005+0 axiom file.
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%----Include set theory axioms
include('Axioms/SET005+0.ax').
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%----EQ1: Boyer et al.'s equality axiom
fof(reflexivity,conjecture,
! [X] : X = X ).
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