TPTP Problem File: SYO208^5.p
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% File : SYO208^5 : TPTP v9.0.0. Released v4.0.0.
% Domain : Syntactic
% Problem : TPS problem CT31
% Version : Especial.
% English :
% Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_0179 [Bro09]
% : CT31 [TPS]
% Status : Theorem
% Rating : 0.38 v9.0.0, 0.50 v8.2.0, 0.69 v8.1.0, 0.45 v7.5.0, 0.29 v7.4.0, 0.44 v7.2.0, 0.38 v7.0.0, 0.57 v6.4.0, 0.50 v6.3.0, 0.60 v6.2.0, 0.71 v6.1.0, 0.57 v6.0.0, 0.71 v5.5.0, 0.67 v5.4.0, 0.40 v4.1.0, 0.33 v4.0.1, 0.67 v4.0.0
% Syntax : Number of formulae : 2 ( 1 unt; 1 typ; 0 def)
% Number of atoms : 3 ( 3 equ; 0 cnn)
% Maximal formula atoms : 1 ( 3 avg)
% Number of connectives : 2 ( 1 ~; 0 |; 0 &; 1 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% Number of variables : 3 ( 0 ^; 1 !; 2 ?; 3 :)
% SPC : TH0_THM_EQU_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(a_type,type,
a: $tType ).
thf(cCT31,conjecture,
~ ? [Xg: a > a > $o] :
! [Xf: a > $o] :
? [Xj: a] :
( ( ( Xg @ Xj )
= Xf )
= ( Xf = Xf ) ) ).
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