TPTP Problem File: SEV176^5.p
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% File : SEV176^5 : TPTP v9.0.0. Released v4.0.0.
% Domain : Set Theory
% Problem : TPS problem THM25
% Version : Especial.
% English : Quine's modification of Russell's paradox.
% Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_0281 [Bro09]
% : THM25 [TPS]
% Status : Theorem
% Rating : 0.12 v9.0.0, 0.17 v8.2.0, 0.18 v8.1.0, 0.08 v7.4.0, 0.11 v7.3.0, 0.10 v7.2.0, 0.12 v7.1.0, 0.14 v7.0.0, 0.12 v6.4.0, 0.14 v6.3.0, 0.17 v6.0.0, 0.00 v4.0.0
% Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% Number of atoms : 3 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 10 ( 2 ~; 0 |; 1 &; 6 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 3 ( 0 ^; 1 !; 2 ?; 3 :)
% SPC : TH0_THM_NEQ_NAR
% Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% project in the Department of Mathematical Sciences at Carnegie
% Mellon University. Distributed under the Creative Commons copyleft
% license: http://creativecommons.org/licenses/by-sa/3.0/
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thf(cR,type,
cR: $i > $i > $o ).
thf(cTHM25,conjecture,
~ ? [Y: $i] :
! [X: $i] :
( ( cR @ X @ Y )
<=> ~ ? [Z: $i] :
( ( cR @ X @ Z )
& ( cR @ Z @ X ) ) ) ).
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