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% File : SEV286^5 : TPTP v7.2.0. Released v4.0.0.
% Domain : Set Theory
% Problem : TPS problem from TTTP-NATS-THMS
% Version : Especial.
% English :
% Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_0088 [Bro09]
% 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 v4.1.0, 0.00 v4.0.0
% Syntax : Number of formulae : 3 ( 0 unit; 2 type; 0 defn)
% Number of atoms : 8 ( 2 equality; 6 variable)
% Maximal formula depth : 7 ( 4 average)
% Number of connectives : 3 ( 0 ~; 0 |; 0 &; 2 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% ( 0 ~|; 0 ~&)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 2 :; 0 =)
% Number of variables : 3 ( 0 sgn; 3 !; 0 ?; 0 ^)
% ( 3 :; 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/
% :
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thf(a_type,type,(
a: $tType )).
thf(b_type,type,(
b: $tType )).
thf(cEC_eq_,conjecture,(
! [F: a > b,A: a,B: a] :
( ( A = B )
=> ( ( F @ A )
= ( F @ B ) ) ) )).
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