TPTP Problem File: SEU956^5.p
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% File : SEU956^5 : TPTP v8.2.0. Released v4.0.0.
% Domain : Set Theory (Functions)
% Problem : TPS problem from FUNCTION-THMS
% Version : Especial.
% English :
% Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_0867 [Bro09]
% Status : Theorem
% Rating : 0.10 v8.2.0, 0.08 v8.1.0, 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 : 1 ( 0 unt; 0 typ; 0 def)
% Number of atoms : 5 ( 5 equ; 0 cnn)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 6 ( 0 ~; 0 |; 0 &; 2 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% Number of variables : 7 ( 2 ^; 5 !; 0 ?; 7 :)
% 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/
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thf(cTHM13_pme,conjecture,
( ! [R: $i > $o,S: $i > $o] :
( ( R = S )
=> ! [X: $i] :
( ( S @ X )
=> ( R @ X ) ) )
=> ! [Xx: $i,Xy: $i] :
( ( ( ^ [Y: $i] : Xx = Y )
= ( ^ [Y: $i] : Xy = Y ) )
=> ( Xx = Xy ) ) ) ).
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