TPTP Problem File: SEV278^5.p
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% File : SEV278^5 : TPTP v9.0.0. Released v4.0.0.
% Domain : Set Theory (Sets of sets)
% Problem : TPS problem from WELL-ORD-THMS
% Version : Especial.
% English :
% Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_0982 [Bro09]
% Status : Unknown
% Rating : 1.00 v4.0.0
% Syntax : Number of formulae : 2 ( 1 unt; 1 typ; 0 def)
% Number of atoms : 1 ( 1 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 24 ( 0 ~; 0 |; 3 &; 15 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 15 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% Number of variables : 11 ( 0 ^; 6 !; 5 ?; 11 :)
% SPC : TH0_UNK_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/
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thf(a_type,type,
a: $tType ).
thf(cTHM562_pme,conjecture,
( ! [Xg: ( ( a > $o ) > a ) > a > $o] :
( ! [Xh: ( a > $o ) > a] :
? [Xu: a] : ( Xg @ Xh @ Xu )
=> ? [Xf: ( a > $o ) > a] : ( Xg @ Xf @ ( Xf @ ( Xg @ Xf ) ) ) )
=> ? [R: a > a > $o] :
! [X: a > $o] :
( ? [Xz: a] : ( X @ Xz )
=> ? [Xz: a] :
( ( X @ Xz )
& ! [Xx: a] :
( ( X @ Xx )
=> ( R @ Xz @ Xx ) )
& ! [Xy: a] :
( ( ( X @ Xy )
& ! [Xx: a] :
( ( X @ Xx )
=> ( R @ Xy @ Xx ) ) )
=> ( Xy = Xz ) ) ) ) ) ).
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