TPTP Problem File: SEV347^5.p
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% File : SEV347^5 : TPTP v9.0.0. 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_0752 [Bro09]
% Status : CounterSatisfiable
% Rating : 0.00 v5.4.0, 0.67 v5.0.0, 0.00 v4.0.0
% Syntax : Number of formulae : 10 ( 0 unt; 9 typ; 0 def)
% Number of atoms : 4 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 14 ( 0 ~; 0 |; 2 &; 11 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% SPC : TH0_CSA_NEQ_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(x,type,
x: $i ).
thf(z,type,
z: $i ).
thf(cGVB_FIRST,type,
cGVB_FIRST: $i > $i ).
thf(cGVB_SECOND,type,
cGVB_SECOND: $i > $i ).
thf(cGVB_OP,type,
cGVB_OP: $i > $i > $i ).
thf(cGVB_IN,type,
cGVB_IN: $i > $i > $o ).
thf(cGVB_OPP,type,
cGVB_OPP: $i > $o ).
thf(cGVB_M,type,
cGVB_M: $i > $o ).
thf(cGVB_CONVERSE,type,
cGVB_CONVERSE: $i > $i ).
thf(cGVB_B6,conjecture,
( ( cGVB_IN @ z @ ( cGVB_CONVERSE @ x ) )
<=> ( ( cGVB_M @ z )
& ( cGVB_OPP @ z )
& ( cGVB_IN @ ( cGVB_OP @ ( cGVB_SECOND @ z ) @ ( cGVB_FIRST @ z ) ) @ x ) ) ) ).
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