TPTP Problem File: SEV332^5.p
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% File : SEV332^5 : 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_0638 [Bro09]
% Status : CounterSatisfiable
% Rating : 0.00 v5.4.0, 0.67 v5.0.0, 0.00 v4.0.0
% Syntax : Number of formulae : 7 ( 1 unt; 6 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 : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 3 con; 0-3 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(f,type,
f: $i ).
thf(cGVB_OP,type,
cGVB_OP: $i > $i > $i ).
thf(cGVB_APPLY,type,
cGVB_APPLY: $i > $i > $i ).
thf(cGVB_APP2,type,
cGVB_APP2: $i > $i > $i > $i ).
thf(cGVB_AX_APP2,conjecture,
( ( cGVB_APP2 @ f @ x @ y )
= ( cGVB_APPLY @ f @ ( cGVB_OP @ x @ y ) ) ) ).
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