TPTP Problem File: SET585^5.p
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% File : SET585^5 : TPTP v9.0.0. Released v4.0.0.
% Domain : Set Theory
% Problem : TPS problem BOOL-PROP-38
% Version : Especial.
% English : Trybulec's 38th Boolean property of sets
% Refs : [TS89] Trybulec & Swieczkowska (1989), Boolean Properties of
% : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_0097 [Bro09]
% : BOOL-PROP-38 [TPS]
% Status : Theorem
% Rating : 0.00 v5.3.0, 0.25 v5.2.0, 0.00 v4.0.0
% Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% Number of atoms : 0 ( 0 equ; 0 cnn)
% Maximal formula atoms : 0 ( 0 avg)
% Number of connectives : 7 ( 0 ~; 1 |; 1 &; 4 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 4 ( 0 ^; 4 !; 0 ?; 4 :)
% 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/
% : Polymorphic definitions expanded.
% :
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thf(a_type,type,
a: $tType ).
thf(cBOOL_PROP_38_pme,conjecture,
! [X: a > $o,Y: a > $o,Z: a > $o,Xx: a] :
( ( ( X @ Xx )
& ( Y @ Xx ) )
=> ( ( X @ Xx )
| ( Z @ Xx ) ) ) ).
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