TPTP Problem File: SEU894^5.p
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% File : SEU894^5 : TPTP v9.0.0. Released v4.0.0.
% Domain : Set Theory
% Problem : TPS problem THM15-0
% Version : Especial.
% English :
% Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_0364 [Bro09]
% : THM15-0 [TPS]
% Status : Theorem
% Rating : 0.00 v9.0.0, 0.10 v8.2.0, 0.15 v8.1.0, 0.18 v7.5.0, 0.14 v7.4.0, 0.11 v7.2.0, 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, 0.29 v5.5.0, 0.17 v5.4.0, 0.20 v5.3.0, 0.40 v5.2.0, 0.20 v4.1.0, 0.00 v4.0.1, 0.33 v4.0.0
% Syntax : Number of formulae : 1 ( 0 unt; 0 typ; 0 def)
% Number of atoms : 4 ( 4 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 16 ( 0 ~; 0 |; 3 &; 9 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 14 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% Number of variables : 8 ( 1 ^; 4 !; 3 ?; 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.
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thf(cTHM15_0_pme,conjecture,
! [F: $i > $i] :
? [G: $i > $i] :
( ( ! [P: ( $i > $i ) > $o] :
( ( ( P @ F )
& ! [H: $i > $i] :
( ( P @ H )
=> ( P
@ ^ [T: $i] : ( F @ ( H @ T ) ) ) ) )
=> ( P @ G ) )
& ? [X: $i] :
( ( ( G @ X )
= X )
& ! [Y: $i] :
( ( ( G @ Y )
= Y )
=> ( X = Y ) ) ) )
=> ? [Y: $i] :
( ( F @ Y )
= Y ) ) ).
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