TPTP Problem File: SEV357^5.p
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% File : SEV357^5 : TPTP v7.1.0. 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_0834 [Bro09]
% Status : CounterSatisfiable
% Rating : 0.33 v5.4.0, 1.00 v5.0.0, 0.33 v4.1.0, 0.00 v4.0.0
% Syntax : Number of formulae : 6 ( 0 unit; 5 type; 0 defn)
% Number of atoms : 17 ( 1 equality; 9 variable)
% Maximal formula depth : 12 ( 5 average)
% Number of connectives : 15 ( 1 ~; 0 |; 4 &; 9 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% ( 0 ~|; 0 ~&)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 :; 0 =)
% Number of variables : 3 ( 0 sgn; 1 !; 2 ?; 0 ^)
% ( 3 :; 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(cGVB_OP,type,(
cGVB_OP: $i > $i > $i )).
thf(cGVB_IN,type,(
cGVB_IN: $i > $i > $o )).
thf(cGVB_M,type,(
cGVB_M: $i > $o )).
thf(cGVB_ZERO,type,(
cGVB_ZERO: $i )).
thf(cGVB_FUNCTION,type,(
cGVB_FUNCTION: $i > $o )).
thf(cGVB_E,conjecture,(
? [Xu: $i] :
( ( cGVB_FUNCTION @ Xu )
& ! [Xx: $i] :
( ( ( cGVB_M @ Xx )
& ( Xx != cGVB_ZERO ) )
=> ? [Xy: $i] :
( ( cGVB_M @ Xy )
& ( cGVB_IN @ Xy @ Xx )
& ( cGVB_IN @ ( cGVB_OP @ Xx @ Xy ) @ Xu ) ) ) ) )).
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