TPTP Problem File: SEU993^5.p
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% File : SEU993^5 : TPTP v9.0.0. Released v4.0.0.
% Domain : Set Theory (Relations)
% Problem : TPS problem from GRAPHS-THMS
% Version : Especial.
% English :
% Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_1106 [Bro09]
% Status : Unknown
% Rating : 1.00 v4.0.0
% Syntax : Number of formulae : 5 ( 0 unt; 4 typ; 0 def)
% Number of atoms : 7 ( 0 equ; 0 cnn)
% Maximal formula atoms : 7 ( 7 avg)
% Number of connectives : 47 ( 0 ~; 0 |; 10 &; 32 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 14 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 2 ( 2 usr; 0 con; 2-2 aty)
% Number of variables : 21 ( 0 ^; 16 !; 5 ?; 21 :)
% SPC : TH0_UNK_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,type,
a: $tType ).
thf(b_type,type,
b: $tType ).
thf(cR,type,
cR: a > a > $o ).
thf(cS,type,
cS: b > b > $o ).
thf(cTHM552_pme,conjecture,
( ( ! [Xx: a] : ( cR @ Xx @ Xx )
& ! [Xu: a,Xv: a,Xw: a] :
( ( ( cR @ Xu @ Xw )
& ( cR @ Xv @ Xw ) )
=> ( cR @ Xu @ Xv ) )
& ? [Xf: a > b > $o] :
( ! [Xx: a] :
? [Xy: b] : ( Xf @ Xx @ Xy )
& ! [Xx: a,Xy1: b,Xy2: b] :
( ( ( Xf @ Xx @ Xy1 )
& ( Xf @ Xx @ Xy2 ) )
=> ( cS @ Xy1 @ Xy2 ) )
& ! [Xx1: a,Xx2: a,Xy: b] :
( ( ( Xf @ Xx1 @ Xy )
& ( Xf @ Xx2 @ Xy ) )
=> ( cR @ Xx1 @ Xx2 ) ) ) )
=> ? [Xg: b > a > $o] :
( ! [Xx: a] :
? [Xy: b] : ( Xg @ Xy @ Xx )
& ! [Xy: b,Xx1: a,Xx2: a] :
( ( ( Xg @ Xy @ Xx1 )
& ( Xg @ Xy @ Xx2 ) )
=> ( cR @ Xx1 @ Xx2 ) )
& ! [Xy: b] :
? [Xx: a] : ( Xg @ Xy @ Xx ) ) ) ).
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