TPTP Problem File: SEV397^5.p
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% File : SEV397^5 : TPTP v8.2.0. Released v4.0.0.
% Domain : Set Theory
% Problem : TPS problem THM59
% Version : Especial.
% English :
% Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_0381 [Bro09]
% : THM58 [TPS]
% : THM59 [TPS]
% Status : Theorem
% Rating : 0.00 v6.2.0, 0.17 v6.0.0, 0.00 v4.0.0
% Syntax : Number of formulae : 5 ( 0 unt; 4 typ; 0 def)
% Number of atoms : 7 ( 0 equ; 0 cnn)
% Maximal formula atoms : 7 ( 7 avg)
% Number of connectives : 13 ( 0 ~; 3 |; 2 &; 7 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 3 usr; 0 con; 1-1 aty)
% Number of variables : 1 ( 0 ^; 1 !; 0 ?; 1 :)
% 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(cZ,type,
cZ: a > $o ).
thf(cY,type,
cY: a > $o ).
thf(cX,type,
cX: a > $o ).
thf(cTHM59_pme,conjecture,
! [Xx: a] :
( ( ( ( cX @ Xx )
& ( cY @ Xx ) )
| ( cZ @ Xx ) )
<=> ( ( ( cX @ Xx )
| ( cZ @ Xx ) )
& ( ( cY @ Xx )
| ( cZ @ Xx ) ) ) ) ).
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