TPTP Problem File: SEV373^5.p
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% File : SEV373^5 : TPTP v9.0.0. Released v4.0.0.
% Domain : Set Theory (GvNB)
% Problem : TPS problem from GVB-MB-THMS
% Version : Especial.
% English :
% Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_0739 [Bro09]
% Status : CounterSatisfiable
% Rating : 0.00 v4.0.0
% Syntax : Number of formulae : 2 ( 1 unt; 1 typ; 0 def)
% Number of atoms : 1 ( 1 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 0 ~; 0 |; 0 &; 8 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 2 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 3 ( 0 ^; 3 !; 0 ?; 3 :)
% SPC : TH0_CSA_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(cGVB_COMPOSE,type,
cGVB_COMPOSE: $i > $i > $i ).
thf(cGVB_COMP_PROP_1,conjecture,
! [Xf: $i,Xg: $i,Xh: $i] :
( ( cGVB_COMPOSE @ Xf @ ( cGVB_COMPOSE @ Xg @ Xh ) )
= ( cGVB_COMPOSE @ ( cGVB_COMPOSE @ Xf @ Xg ) @ Xh ) ) ).
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