TPTP Problem File: NUM781^3.p
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% File : NUM781^3 : TPTP v9.0.0. Released v5.1.0.
% Domain : Number Theory
% Problem : Landau theorem 79
% Version : Especial.
% English : Symmetry of equality.
% Refs : [Lan30] Landau (1930), Grundlagen der Analysis
% : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_0019 [Bro09]
% : THM76 [TPS]
% Status : Theorem
% Rating : 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 v5.1.0
% Syntax : Number of formulae : 3 ( 0 unt; 2 typ; 0 def)
% Number of atoms : 2 ( 2 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 1 ( 0 ~; 0 |; 0 &; 0 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 2 usr; 2 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% 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/
% :
% : Renamed from SYO343^5
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thf(cY,type,
cY: $i ).
thf(cX,type,
cX: $i ).
thf(cTHM76,conjecture,
( ( cY = cX )
=> ( cX = cY ) ) ).
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