TPTP Problem File: SEV060^5.p
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% File : SEV060^5 : TPTP v9.0.0. Released v4.0.0.
% Domain : Set Theory (Relations)
% Problem : TPS problem THM173
% Version : Especial.
% English :
% Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_0329 [Bro09]
% : THM173 [TPS]
% Status : Theorem
% Rating : 0.00 v9.0.0, 0.10 v8.2.0, 0.08 v8.1.0, 0.09 v7.5.0, 0.14 v7.4.0, 0.22 v7.2.0, 0.12 v7.1.0, 0.25 v7.0.0, 0.29 v6.4.0, 0.33 v6.3.0, 0.40 v6.2.0, 0.29 v5.5.0, 0.17 v5.4.0, 0.20 v4.1.0, 0.00 v4.0.0
% Syntax : Number of formulae : 3 ( 0 unt; 2 typ; 0 def)
% Number of atoms : 2 ( 2 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 17 ( 1 ~; 1 |; 2 &; 10 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 13 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% Number of variables : 8 ( 0 ^; 8 !; 0 ?; 8 :)
% SPC : TH0_THM_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/
% : Polymorphic definitions expanded.
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thf(b_type,type,
b: $tType ).
thf(a_type,type,
a: $tType ).
thf(cTHM173_pme,conjecture,
! [Xx: b,Xy: a,Xs: b > a > $o,Xk: b > a > $o] :
( ( ! [Xx_0: b,Xy_9: a] :
( ( Xk @ Xx_0 @ Xy_9 )
=> ( ( Xs @ Xx_0 @ Xy_9 )
| ( ( Xx_0 = Xx )
& ( Xy_9 = Xy ) ) ) )
& ~ ( Xk @ Xx @ Xy ) )
=> ! [Xx0: b,Xy0: a] :
( ( Xk @ Xx0 @ Xy0 )
=> ( Xs @ Xx0 @ Xy0 ) ) ) ).
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