TPTP Problem File: SEV230^5.p
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%------------------------------------------------------------------------------
% File : SEV230^5 : TPTP v9.0.0. Released v4.0.0.
% Domain : Set Theory (Sets of sets)
% Problem : TPS problem THM88
% Version : Especial.
% English :
% Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_0320 [Bro09]
% : THM88 [TPS]
% Status : Theorem
% Rating : 0.00 v8.1.0, 0.08 v7.4.0, 0.00 v6.2.0, 0.17 v6.1.0, 0.00 v5.1.0, 0.25 v5.0.0, 0.00 v4.0.0
% Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% Number of atoms : 0 ( 0 equ; 0 cnn)
% Maximal formula atoms : 0 ( 0 avg)
% Number of connectives : 15 ( 0 ~; 0 |; 0 &; 8 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 11 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 8 ( 0 ^; 8 !; 0 ?; 8 :)
% 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/
% : Polymorphic definitions expanded.
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thf(a_type,type,
a: $tType ).
thf(cTHM88_pme,conjecture,
! [U: a > $o,V: a > $o] :
( ! [Xx: a] :
( ( U @ Xx )
=> ( V @ Xx ) )
=> ! [Xx: ( a > $o ) > $o] :
( ! [Xx0: a > $o] :
( ( Xx @ Xx0 )
=> ! [Xx1: a] :
( ( Xx0 @ Xx1 )
=> ( U @ Xx1 ) ) )
=> ! [Xx0: a > $o] :
( ( Xx @ Xx0 )
=> ! [Xx1: a] :
( ( Xx0 @ Xx1 )
=> ( V @ Xx1 ) ) ) ) ) ).
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