TPTP Problem File: SEV188^5.p
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% File : SEV188^5 : TPTP v9.0.0. Released v4.0.0.
% Domain : Set Theory (Sets of sets)
% Problem : TPS problem from CLOS-SYS-THMS
% Version : Especial.
% English :
% Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_0647 [Bro09]
% Status : Theorem
% Rating : 0.00 v6.2.0, 0.17 v6.1.0, 0.00 v4.0.0
% Syntax : Number of formulae : 3 ( 0 unt; 2 typ; 0 def)
% Number of atoms : 2 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 3 ( 0 ~; 0 |; 0 &; 1 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 6 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 1 ( 0 usr; 1 con; 0-0 aty)
% Number of variables : 2 ( 0 ^; 2 !; 0 ?; 2 :)
% SPC : TH0_THM_NEQ_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,
a: $tType ).
thf(b_type,type,
b: $tType ).
thf(cCS2_ALL_THM_pme,conjecture,
! [S: ( a > b > $o ) > $o] :
( ! [Xx: a > b > $o] :
( ( S @ Xx )
=> $true )
=> $true ) ).
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