TPTP Problem File: SYO279^5.p
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% File : SYO279^5 : 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_0649 [Bro09]
% Status : CounterSatisfiable
% Rating : 0.00 v4.0.0
% Syntax : Number of formulae : 4 ( 1 unt; 3 typ; 0 def)
% Number of atoms : 1 ( 0 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 0 ~; 0 |; 0 &; 6 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 3 usr; 0 con; 1-2 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(cLAM,type,
cLAM: ( $i > $i ) > $i ).
thf(cAPP,type,
cAPP: $i > $i > $i ).
thf(cReduct,type,
cReduct: $i > $i > $o ).
thf(cBETA_CONVERSION,conjecture,
! [Xx: $i > $i,Xy: $i] : ( cReduct @ ( cAPP @ ( cLAM @ Xx ) @ Xy ) @ ( Xx @ Xy ) ) ).
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