TPTP Problem File: SEV061^5.p
View Solutions
- Solve Problem
%------------------------------------------------------------------------------
% File : SEV061^5 : TPTP v9.0.0. Released v4.0.0.
% Domain : Set Theory (Relations)
% Problem : TPS problem THM176
% Version : Especial.
% English :
% Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_0331 [Bro09]
% : THM176 [TPS]
% Status : Theorem
% Rating : 0.00 v7.4.0, 0.11 v7.2.0, 0.00 v7.1.0, 0.12 v7.0.0, 0.14 v6.4.0, 0.17 v6.3.0, 0.20 v6.2.0, 0.14 v6.1.0, 0.00 v6.0.0, 0.14 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 : 4 ( 4 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 16 ( 1 ~; 1 |; 3 &; 8 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 12 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.
%------------------------------------------------------------------------------
thf(b_type,type,
b: $tType ).
thf(a_type,type,
a: $tType ).
thf(cTHM176_pme,conjecture,
! [Xx: b,Xy: a,Xs: b > a > $o,Xk: b > a > $o] :
( ! [Xx_2: b,Xy_47: a] :
( ( Xk @ Xx_2 @ Xy_47 )
=> ( ( Xs @ Xx_2 @ Xy_47 )
| ( ( Xx_2 = Xx )
& ( Xy_47 = Xy ) ) ) )
=> ! [Xx_3: b,Xy_48: a] :
( ( ( Xk @ Xx_3 @ Xy_48 )
& ~ ( ( Xx_3 = Xx )
& ( Xy_48 = Xy ) ) )
=> ( Xs @ Xx_3 @ Xy_48 ) ) ) ).
%------------------------------------------------------------------------------