TPTP Problem File: SYO163^5.p
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% File : SYO163^5 : 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_0925 [Bro09]
% Status : CounterSatisfiable
% Rating : 0.00 v4.0.0
% Syntax : Number of formulae : 5 ( 0 unt; 4 typ; 0 def)
% Number of atoms : 6 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 37 ( 0 ~; 0 |; 4 &; 32 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 12 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 2 ( 0 ^; 2 !; 0 ?; 2 :)
% 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(cT,type,
cT: $i > $o ).
thf(i,type,
i: $i > $i > $i ).
thf(n,type,
n: $i > $i ).
thf(z,type,
z: $i ).
thf(cMORGAN_AXIOMS,conjecture,
! [Xx: $i,Xy: $i] :
( ( cT @ ( i @ Xx @ ( i @ Xy @ Xx ) ) )
& ( cT @ ( i @ ( i @ Xx @ ( i @ Xy @ z ) ) @ ( i @ ( i @ Xx @ Xy ) @ ( i @ Xx @ z ) ) ) )
& ( cT @ ( i @ ( i @ ( n @ Xx ) @ ( n @ Xy ) ) @ ( i @ Xy @ Xx ) ) )
& ( ( ( cT @ ( i @ Xx @ Xy ) )
& ( cT @ Xx ) )
=> ( cT @ Xy ) ) ) ).
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