TPTP Problem File: SEV330^5.p
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% File : SEV330^5 : TPTP v8.2.0. Released v4.0.0.
% Domain : Set Theory (GvNB)
% Problem : TPS problem from GVB-MB-AXIOMS
% Version : Especial.
% English :
% Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_0636 [Bro09]
% Status : CounterSatisfiable
% Rating : 0.00 v5.4.0, 0.67 v5.0.0, 0.00 v4.0.0
% Syntax : Number of formulae : 6 ( 1 unt; 5 typ; 0 def)
% Number of atoms : 1 ( 1 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 0 ~; 0 |; 0 &; 7 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% 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(y,type,
y: $i ).
thf(x,type,
x: $i ).
thf(cGVB_COMPLEMENT,type,
cGVB_COMPLEMENT: $i > $i ).
thf(cGVB_INTERSECT,type,
cGVB_INTERSECT: $i > $i > $i ).
thf(cGVB_UNION,type,
cGVB_UNION: $i > $i > $i ).
thf(cGVB_AX_UNION,conjecture,
( ( cGVB_UNION @ x @ y )
= ( cGVB_COMPLEMENT @ ( cGVB_INTERSECT @ ( cGVB_COMPLEMENT @ x ) @ ( cGVB_COMPLEMENT @ y ) ) ) ) ).
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