TPTP Problem File: SYO313^5.p
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% File : SYO313^5 : TPTP v8.2.0. Released v4.0.0.
% Domain : Syntactic
% Problem : TPS problem from BASIC-HO-THMS
% Version : Especial.
% English :
% Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_0906 [Bro09]
% Status : CounterSatisfiable
% Rating : 0.00 v7.4.0, 0.33 v4.1.0, 0.00 v4.0.0
% Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% Number of atoms : 4 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 19 ( 0 ~; 0 |; 2 &; 12 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 8 ( 0 ^; 5 !; 3 ?; 8 :)
% SPC : TH0_CSA_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(cELESS,type,
cELESS: $i > $i > $o ).
thf(cELUB,conjecture,
! [A: $i > $o] :
( ( ? [Xr: $i] : ( A @ Xr )
& ? [Xu: $i] :
! [Xx: $i] :
( ( A @ Xx )
=> ( cELESS @ Xx @ Xu ) ) )
=> ? [Xl: $i] :
( ! [Xx: $i] :
( ( A @ Xx )
=> ( cELESS @ Xx @ Xl ) )
& ! [Xy: $i] :
( ! [Xx: $i] :
( ( A @ Xx )
=> ( cELESS @ Xx @ Xy ) )
=> ( cELESS @ Xl @ Xy ) ) ) ) ).
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