TPTP Problem File: SEV133^5.p
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% File : SEV133^5 : TPTP v9.0.0. Released v4.0.0.
% Domain : Set Theory (Relations)
% Problem : TPS problem from TC-THMS
% Version : Especial.
% English :
% Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_1062 [Bro09]
% Status : Unknown
% Rating : 1.00 v4.0.0
% Syntax : Number of formulae : 5 ( 0 unt; 4 typ; 0 def)
% Number of atoms : 4 ( 1 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 41 ( 1 ~; 0 |; 7 &; 25 @)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 16 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 3 usr; 2 con; 0-3 aty)
% Number of variables : 12 ( 0 ^; 11 !; 1 ?; 12 :)
% SPC : TH0_UNK_EQU_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,
atype: $tType ).
thf(a,type,
a: atype ).
thf(b,type,
b: atype ).
thf(cSTAR,type,
cSTAR: ( atype > atype > $o ) > atype > atype > $o ).
thf(cTC_INTERP_THIRD_pme,conjecture,
! [Xr: atype > atype > $o] :
( ( ! [Xx: atype > $o] :
( ! [Xy: atype,Xz: atype] :
( ( ( Xr @ Xy @ Xz )
& ( Xx @ Xy ) )
=> ( Xx @ Xz ) )
<=> ! [Xy: atype,Xz: atype] :
( ( ( Xr @ Xy @ Xz )
& ( Xx @ Xy ) )
=> ( Xx @ Xz ) ) )
& ! [Xa0: atype,Xb0: atype] :
( ( cSTAR @ Xr @ Xa0 @ Xb0 )
<=> ! [Xx: atype > $o] :
( ! [Xy: atype,Xz: atype] :
( ( ( Xr @ Xy @ Xz )
& ( Xx @ Xy ) )
=> ( Xx @ Xz ) )
=> ( ( Xx @ Xa0 )
=> ( Xx @ Xb0 ) ) ) )
& ( a != b )
& ( cSTAR @ Xr @ a @ b ) )
=> ? [Xc: atype] :
( ( Xr @ a @ Xc )
& ( cSTAR @ Xr @ Xc @ b ) ) ) ).
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