TPTP Problem File: SEV377^5.p
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% File : SEV377^5 : TPTP v8.2.0. 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_0813 [Bro09]
% Status : CounterSatisfiable
% Rating : 0.00 v4.0.0
% Syntax : Number of formulae : 6 ( 0 unt; 5 typ; 0 def)
% Number of atoms : 3 ( 1 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 14 ( 0 ~; 0 |; 1 &; 12 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 0 con; 1-2 aty)
% Number of variables : 3 ( 0 ^; 3 !; 0 ?; 3 :)
% 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_COMPOSE,type,
cGVB_COMPOSE: $i > $i > $i ).
thf(cGVB_APPLY,type,
cGVB_APPLY: $i > $i > $i ).
thf(cGVB_DOMAIN,type,
cGVB_DOMAIN: $i > $i ).
thf(cGVB_IN,type,
cGVB_IN: $i > $i > $o ).
thf(cGVB_FUNCTION,type,
cGVB_FUNCTION: $i > $o ).
thf(cGVB_APP_PROP_1,conjecture,
! [Xf: $i,Xg: $i,Xx: $i] :
( ( ( cGVB_FUNCTION @ Xf )
& ( cGVB_IN @ Xx @ ( cGVB_DOMAIN @ Xf ) ) )
=> ( ( cGVB_APPLY @ Xg @ ( cGVB_APPLY @ Xf @ Xx ) )
= ( cGVB_APPLY @ ( cGVB_COMPOSE @ Xg @ Xf ) @ Xx ) ) ) ).
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