TPTP Problem File: SYO142^5.p
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% File : SYO142^5 : 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_0765 [Bro09]
% Status : Theorem
% Rating : 0.00 v6.2.0, 0.17 v6.0.0, 0.00 v4.0.0
% Syntax : Number of formulae : 4 ( 0 unt; 3 typ; 0 def)
% Number of atoms : 4 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 11 ( 0 ~; 0 |; 1 &; 8 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 2 ( 0 ^; 0 !; 2 ?; 2 :)
% 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(a,type,
a: $i ).
thf(f,type,
f: $i > $i ).
thf(p,type,
p: $i > $o ).
thf(cTEST4,conjecture,
? [Xx: $i,Xy: $i] :
( ( ( p @ Xx )
=> ( p @ ( f @ ( f @ Xy ) ) ) )
& ( ( p @ Xy )
=> ( p @ ( f @ ( f @ a ) ) ) ) ) ).
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