TPTP Problem File: SEV013^5.p
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% File : SEV013^5 : TPTP v8.2.0. Released v4.0.0.
% Domain : Set Theory (Relations)
% Problem : TPS problem from EQUIVALENCE-RELATIONS-THMS
% Version : Especial.
% English :
% Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_0871 [Bro09]
% Status : Theorem
% Rating : 0.10 v8.2.0, 0.00 v6.2.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v4.1.0, 0.00 v4.0.0
% Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% Number of atoms : 6 ( 6 equ; 0 cnn)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 5 ( 0 ~; 0 |; 3 &; 0 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 8 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% Number of variables : 6 ( 0 ^; 6 !; 0 ?; 6 :)
% 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(a_type,type,
a: $tType ).
thf(cTHM511_pme,conjecture,
( ! [Xx: a] : Xx = Xx
& ! [Xx: a,Xy: a] :
( ( Xx = Xy )
=> ( Xy = Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( Xx = Xy )
& ( Xy = Xz ) )
=> ( Xx = Xz ) ) ) ).
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