TPTP Problem File: SEV371^5.p
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% File : SEV371^5 : 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_0718 [Bro09]
% Status : CounterSatisfiable
% Rating : 0.00 v4.0.0
% Syntax : Number of formulae : 4 ( 0 unt; 3 typ; 0 def)
% Number of atoms : 3 ( 1 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 7 ( 0 ~; 0 |; 1 &; 5 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 3 usr; 0 con; 1-2 aty)
% Number of variables : 2 ( 0 ^; 2 !; 0 ?; 2 :)
% 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_OP,type,
cGVB_OP: $i > $i > $i ).
thf(cGVB_SECOND,type,
cGVB_SECOND: $i > $i ).
thf(cGVB_M,type,
cGVB_M: $i > $o ).
thf(cGVB_SND_PROP_1,conjecture,
! [Xa: $i,Xb: $i] :
( ( ( cGVB_M @ Xa )
& ( cGVB_M @ Xb ) )
=> ( ( cGVB_SECOND @ ( cGVB_OP @ Xa @ Xb ) )
= Xb ) ) ).
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