TPTP Problem File: SYO240^5.p
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% File : SYO240^5 : TPTP v9.0.0. Released v4.0.0.
% Domain : Syntactic
% Problem : TPS problem from BASIC-HO-EQ-THMS
% Version : Especial.
% English :
% Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_0877 [Bro09]
% Status : Unknown
% Rating : 1.00 v4.0.0
% Syntax : Number of formulae : 4 ( 0 unt; 3 typ; 0 def)
% Number of atoms : 4 ( 1 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 15 ( 0 ~; 0 |; 0 &; 11 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 11 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 2 ( 1 usr; 0 con; 2-3 aty)
% Number of variables : 7 ( 0 ^; 6 !; 1 ?; 7 :)
% SPC : TH0_UNK_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(b_type,type,
b: $tType ).
thf(cK,type,
cK: ( a > b > $o ) > a > b > $o ).
thf(cTHM2B,conjecture,
( ! [Xu: a > b > $o,Xv: a > b > $o] :
( ! [Xx: a,Xy: b] :
( ( Xu @ Xx @ Xy )
=> ( Xv @ Xx @ Xy ) )
=> ! [Xx: a,Xy: b] :
( ( cK @ Xu @ Xx @ Xy )
=> ( cK @ Xv @ Xx @ Xy ) ) )
=> ? [Xu: a > b > $o] :
( ( cK @ Xu )
= Xu ) ) ).
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