TPTP Problem File: SYO314^5.p
View Solutions
- Solve Problem
%------------------------------------------------------------------------------
% File : SYO314^5 : 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_0908 [Bro09]
% Status : Theorem
% Rating : 0.17 v8.2.0, 0.18 v8.1.0, 0.25 v7.4.0, 0.22 v7.3.0, 0.20 v7.2.0, 0.25 v7.1.0, 0.29 v7.0.0, 0.25 v6.4.0, 0.29 v6.3.0, 0.33 v6.0.0, 0.17 v5.5.0, 0.00 v4.1.0, 0.33 v4.0.0
% Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% Number of atoms : 0 ( 0 equ; 0 cnn)
% Maximal formula atoms : 0 ( 0 avg)
% Number of connectives : 19 ( 4 ~; 0 |; 6 &; 8 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 8 ( 0 ^; 0 !; 8 ?; 8 :)
% 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/
%------------------------------------------------------------------------------
thf(z,type,
z: $i ).
thf(cSILLYWFF2,conjecture,
( ? [Xp: $i > $o,Xq: $i > $o,Xx: $i,Xy: $i] :
( ( Xp @ Xx )
& ~ ( Xp @ Xy )
& ( Xq @ Xy )
& ~ ( Xq @ z ) )
<=> ? [Xp: $i > $o,Xq: $i > $o,Xx: $i,Xy: $i] :
( ~ ( Xq @ z )
& ( Xq @ Xy )
& ( Xp @ Xx )
& ~ ( Xp @ Xy ) ) ) ).
%------------------------------------------------------------------------------