TPTP Problem File: SYO131^5.p
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% File : SYO131^5 : TPTP v9.0.0. 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_0709 [Bro09]
% Status : Theorem
% Rating : 0.00 v6.2.0, 0.17 v6.1.0, 0.00 v4.0.0
% Syntax : Number of formulae : 5 ( 0 unt; 4 typ; 0 def)
% Number of atoms : 2 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 11 ( 0 ~; 0 |; 0 &; 10 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 6 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 : 1 ( 0 ^; 0 !; 1 ?; 1 :)
% SPC : TH0_THM_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(f,type,
f: $i > $i ).
thf(cR,type,
cR: $i > $i > $o ).
thf(a,type,
a: $i ).
thf(g,type,
g: $i > $i ).
thf(cEXAMPLE1,conjecture,
( ( cR @ ( g @ ( f @ a ) ) @ ( f @ ( g @ ( f @ a ) ) ) )
=> ? [Xx: $i] : ( cR @ Xx @ ( f @ Xx ) ) ) ).
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