TPTP Problem File: SEV062^5.p
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%------------------------------------------------------------------------------
% File : SEV062^5 : TPTP v9.0.0. Released v4.0.0.
% Domain : Set Theory (Relations)
% Problem : TPS problem T146A
% Version : Especial.
% English :
% Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_0338 [Bro09]
% : T146A [TPS]
% Status : Theorem
% Rating : 0.00 v8.1.0, 0.08 v7.4.0, 0.00 v7.3.0, 0.10 v7.2.0, 0.00 v6.2.0, 0.17 v6.0.0, 0.00 v5.1.0, 0.25 v5.0.0, 0.00 v4.0.1, 0.33 v4.0.0
% Syntax : Number of formulae : 1 ( 0 unt; 0 typ; 0 def)
% Number of atoms : 0 ( 0 equ; 0 cnn)
% Maximal formula atoms : 0 ( 0 avg)
% Number of connectives : 35 ( 0 ~; 0 |; 4 &; 24 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 15 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 15 ( 0 ^; 15 !; 0 ?; 15 :)
% 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(cT146A_pme,conjecture,
! [Xr: $i > $i > $o,Xx: $i,Xy: $i] :
( ! [Xp: $i > $i > $o] :
( ( ! [Xx0: $i,Xy0: $i] :
( ( Xr @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) )
& ! [Xu: $i,Xv: $i,Xw: $i] :
( ( ( Xp @ Xu @ Xv )
& ( Xr @ Xv @ Xw ) )
=> ( Xp @ Xu @ Xw ) ) )
=> ( Xp @ Xx @ Xy ) )
=> ! [Xp: $i > $i > $o] :
( ( ! [Xx0: $i,Xy0: $i] :
( ( Xr @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) )
& ! [Xx0: $i,Xy0: $i,Xz: $i] :
( ( ( Xp @ Xx0 @ Xy0 )
& ( Xp @ Xy0 @ Xz ) )
=> ( Xp @ Xx0 @ Xz ) ) )
=> ( Xp @ Xx @ Xy ) ) ) ).
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