TPTP Problem File: SEU995^5.p
View Solutions
- Solve Problem
%------------------------------------------------------------------------------
% File : SEU995^5 : TPTP v9.0.0. Released v4.0.0.
% Domain : Set Theory (Relations)
% Problem : TPS problem THM24
% Version : Especial.
% English :
% Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_0103 [Bro09]
% : THM24 [TPS]
% Status : Theorem
% Rating : 0.25 v9.0.0, 0.30 v8.2.0, 0.54 v8.1.0, 0.36 v7.5.0, 0.14 v7.4.0, 0.22 v7.3.0, 0.33 v7.2.0, 0.25 v7.0.0, 0.14 v6.4.0, 0.17 v6.3.0, 0.20 v6.2.0, 0.29 v6.1.0, 0.14 v6.0.0, 0.29 v5.5.0, 0.33 v5.4.0, 0.40 v5.3.0, 0.60 v4.1.0, 0.33 v4.0.1, 0.67 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 : 7 ( 2 ~; 0 |; 0 &; 4 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 6 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 2 usr; 2 con; 0-2 aty)
% Number of variables : 3 ( 0 ^; 2 !; 1 ?; 3 :)
% 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(cV,type,
cV: $i ).
thf(cU,type,
cU: $i ).
thf(cTHM24_pme,conjecture,
( ( cU != cV )
=> ? [G: ( $i > $i ) > ( $i > $i ) > $i > $i] :
~ ! [Xx: $i > $i,Xy: $i > $i] :
( ( G @ Xx @ Xy )
= ( G @ Xy @ Xx ) ) ) ).
%------------------------------------------------------------------------------