TPTP Problem File: SEV266^5.p
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% File : SEV266^5 : TPTP v9.0.0. Released v4.0.0.
% Domain : Set Theory (Sets of sets)
% Problem : TPS problem from TOPOLOGY-THMS
% Version : Especial.
% English :
% Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_1038 [Bro09]
% Status : Theorem
% Rating : 1.00 v4.0.0
% Syntax : Number of formulae : 1 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 1 ( 1 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 31 ( 0 ~; 1 |; 5 &; 17 @)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 12 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% Number of variables : 14 ( 3 ^; 10 !; 1 ?; 14 :)
% 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/
% : May require description or choice.
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thf(cTHM4_pme,conjecture,
( ! [P: $i > $o,Q: $i > $o] :
( ! [X: $i] :
( ( P @ X )
<=> ( Q @ X ) )
=> ( P = Q ) )
=> ! [T: ( $i > $o ) > $o] :
( ( ! [S: ( $i > $o ) > $o] :
( ! [Xx: $i > $o] :
( ( S @ Xx )
=> ( T @ Xx ) )
=> ( T
@ ^ [Xx: $i] :
? [S0: $i > $o] :
( ( S @ S0 )
& ( S0 @ Xx ) ) ) )
& ! [P: $i > $o,Q: $i > $o] :
( ( ( T @ P )
& ( T @ Q ) )
=> ( T
@ ^ [Xx: $i] :
( ( P @ Xx )
& ( Q @ Xx ) ) ) ) )
=> ! [U: $i > $o,V: $i > $o] :
( ( ( T @ U )
& ( T @ V ) )
=> ( T
@ ^ [Xz: $i] :
( ( U @ Xz )
| ( V @ Xz ) ) ) ) ) ) ).
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