TPTP Problem File: SYO105^5.p
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% File : SYO105^5 : TPTP v7.1.0. Released v4.0.0.
% Domain : Syntactic
% Problem : TPS problem X2201TEST
% Version : Especial.
% English :
% Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_0395 [Bro09]
% : X2201TEST [TPS]
% Status : Theorem
% Rating : 0.12 v7.1.0, 0.14 v7.0.0, 0.12 v6.4.0, 0.14 v6.3.0, 0.33 v6.1.0, 0.17 v6.0.0, 0.00 v5.2.0, 0.25 v4.1.0, 0.00 v4.0.0
% Syntax : Number of formulae : 5 ( 0 unit; 4 type; 0 defn)
% Number of atoms : 18 ( 0 equality; 8 variable)
% Maximal formula depth : 13 ( 5 average)
% Number of connectives : 23 ( 6 ~; 0 |; 0 &; 12 @)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% ( 0 ~|; 0 ~&)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 :; 0 =)
% Number of variables : 8 ( 0 sgn; 4 !; 4 ?; 0 ^)
% ( 8 :; 0 !>; 0 ?*)
% ( 0 @-; 0 @+)
% 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(cR,type,(
cR: $i > $o )).
thf(y,type,(
y: $i )).
thf(cP,type,(
cP: $i > $i > $i > $o )).
thf(cQ,type,(
cQ: $i > $i > $o )).
thf(cX2201TEST,conjecture,
( ~ ( ? [Xx: $i] :
( cQ @ Xx @ y )
=> ~ ( ! [Xz: $i] :
( ! [Xu: $i] :
( cP @ Xu @ y @ Xz )
=> ~ ( ? [Xv: $i] :
( cR @ Xv ) ) ) ) )
<=> ? [Xx: $i] :
! [Xz: $i] :
? [Xu: $i] :
! [Xv: $i] :
~ ( ( cQ @ Xx @ y )
=> ~ ( ( cP @ Xu @ y @ Xz )
=> ~ ( cR @ Xv ) ) ) )).
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