TPTP Problem File: SYO153^5.p
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% File : SYO153^5 : TPTP v8.2.0. Released v4.0.0.
% Domain : Syntactic
% Problem : TPS problem from BASIC-FO-THMS
% Version : Especial.
% English :
% Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_0811 [Bro09]
% Status : CounterSatisfiable
% Rating : 0.00 v4.0.0
% Syntax : Number of formulae : 4 ( 0 unt; 3 typ; 0 def)
% Number of atoms : 3 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 16 ( 0 ~; 0 |; 1 &; 14 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 3 usr; 0 con; 2-2 aty)
% Number of variables : 3 ( 0 ^; 3 !; 0 ?; 3 :)
% 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(cAPP,type,
cAPP: $i > $i > $i ).
thf(cReduct,type,
cReduct: $i > $i > $o ).
thf(cApp,type,
cApp: $i > $i > $i ).
thf(cBETA_STABLE_1,conjecture,
! [Xx: $i,Xy: $i,Xz: $i] :
( ( cReduct @ Xx @ Xy )
=> ( ( cReduct @ ( cAPP @ Xx @ Xz ) @ ( cApp @ Xy @ Xz ) )
& ( cReduct @ ( cAPP @ Xz @ Xx ) @ ( cAPP @ Xz @ Xy ) ) ) ) ).
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