TPTP Problem File: SEU923^5.p
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% File : SEU923^5 : TPTP v8.2.0. Released v4.0.0.
% Domain : Set Theory (Functions)
% Problem : TPS problem THM54
% Version : Especial.
% English :
% Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_0134 [Bro09]
% : THM54 [TPS]
% Status : Theorem
% Rating : 0.00 v6.2.0, 0.14 v6.1.0, 0.00 v6.0.0, 0.14 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 v4.0.0
% Syntax : Number of formulae : 4 ( 0 unt; 3 typ; 0 def)
% Number of atoms : 4 ( 4 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 7 ( 0 ~; 0 |; 0 &; 4 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 5 avg)
% Number of types : 2 ( 2 usr)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of symbols : 2 ( 1 usr; 0 con; 1-2 aty)
% Number of variables : 4 ( 0 ^; 4 !; 0 ?; 4 :)
% 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(b_type,type,
b: $tType ).
thf(a_type,type,
a: $tType ).
thf(cF,type,
cF: b > a ).
thf(cTHM54_pme,conjecture,
( ! [Xx: b,Xy: b] :
( ( ( cF @ Xx )
= ( cF @ Xy ) )
=> ( Xx = Xy ) )
=> ! [Xx: b,Xy: b] :
( ( ( cF @ Xx )
= ( cF @ Xy ) )
=> ( Xx = Xy ) ) ) ).
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