TPTP Problem File: SEV239^5.p
View Solutions
- Solve Problem
%------------------------------------------------------------------------------
% File : SEV239^5 : TPTP v9.0.0. Released v4.0.0.
% Domain : Set Theory (Sets of sets)
% Problem : TPS problem X5211
% Version : Especial.
% English :
% Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_0492 [Bro09]
% : X5211 [TPS]
% Status : Theorem
% Rating : 0.12 v9.0.0, 0.20 v8.2.0, 0.31 v8.1.0, 0.27 v7.5.0, 0.14 v7.4.0, 0.22 v7.2.0, 0.12 v7.1.0, 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 v5.5.0, 0.17 v5.4.0, 0.20 v5.1.0, 0.40 v4.1.0, 0.33 v4.0.1, 0.67 v4.0.0
% Syntax : Number of formulae : 3 ( 1 unt; 2 typ; 0 def)
% Number of atoms : 5 ( 3 equ; 0 cnn)
% Maximal formula atoms : 1 ( 5 avg)
% Number of connectives : 5 ( 0 ~; 0 |; 2 &; 3 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 2 ( 1 usr; 0 con; 1-2 aty)
% Number of variables : 5 ( 3 ^; 0 !; 2 ?; 5 :)
% 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(a_type,type,
a: $tType ).
thf(y,type,
y: a > $o ).
thf(cX5211_pme,conjecture,
( y
= ( ^ [Xx: a] :
? [S: a > $o] :
( ? [Xx0: a] :
( ( y @ Xx0 )
& ( S
= ( ^ [Xx: a,Xy: a] : ( Xx = Xy )
@ Xx0 ) ) )
& ( S @ Xx ) ) ) ) ).
%------------------------------------------------------------------------------