TSTP Solution File: SWW473+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWW473+1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 23:22:16 EDT 2022
% Result : Theorem 35.59s 35.96s
% Output : Refutation 35.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW473+1 : TPTP v8.1.0. Released v5.3.0.
% 0.11/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sun Jun 5 02:19:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.84/1.23 *** allocated 10000 integers for termspace/termends
% 0.84/1.23 *** allocated 10000 integers for clauses
% 0.84/1.23 *** allocated 10000 integers for justifications
% 0.84/1.23 Bliksem 1.12
% 0.84/1.23
% 0.84/1.23
% 0.84/1.23 Automatic Strategy Selection
% 0.84/1.23
% 0.84/1.23 *** allocated 15000 integers for termspace/termends
% 0.84/1.23 *** allocated 22500 integers for termspace/termends
% 0.84/1.23 *** allocated 33750 integers for termspace/termends
% 0.84/1.23
% 0.84/1.23 Clauses:
% 0.84/1.23
% 0.84/1.23 { ! is_fun_a_bool( X ), is_fun_a_bool( cOMBB_bool_bool_a( Y, X ) ) }.
% 0.84/1.23 { ! is_fun_pname_bool( X ), is_fun_pname_bool( cOMBB_647938656_pname( Y, X
% 0.84/1.23 ) ) }.
% 0.84/1.23 { ! is_fun949378684l_bool( X ), is_fun949378684l_bool(
% 0.84/1.23 cOMBB_2140588453a_bool( Y, X ) ) }.
% 0.84/1.23 { ! is_fun1661590463l_bool( X ), is_fun1661590463l_bool(
% 0.84/1.23 cOMBB_307249310e_bool( Y, X ) ) }.
% 0.84/1.23 { ! is_fun_a_bool( X ), is_fun_a_bool( cOMBS_a_bool_bool( Y, X ) ) }.
% 0.84/1.23 { ! is_fun_pname_bool( X ), is_fun_pname_bool( cOMBS_568398431l_bool( Y, X
% 0.84/1.23 ) ) }.
% 0.84/1.23 { ! is_fun949378684l_bool( X ), is_fun949378684l_bool(
% 0.84/1.23 cOMBS_1035972772l_bool( Y, X ) ) }.
% 0.84/1.23 { ! is_fun1661590463l_bool( X ), is_fun1661590463l_bool(
% 0.84/1.23 cOMBS_350070575l_bool( Y, X ) ) }.
% 0.84/1.23 { is_fun949378684l_bool( finite_finite_a ) }.
% 0.84/1.23 { is_fun1661590463l_bool( finite_finite_pname ) }.
% 0.84/1.23 { is_a( undefined_a( x_a ) ) }.
% 0.84/1.23 { is_pname( undefined_pname( pname ) ) }.
% 0.84/1.23 { is_fun_a_bool( undefined_fun_a_bool( fun( x_a, bool ) ) ) }.
% 0.84/1.23 { is_fun_pname_bool( undefi17486888e_bool( fun( pname, bool ) ) ) }.
% 0.84/1.23 { is_fun949378684l_bool( undefi1699038445l_bool( fun( fun( x_a, bool ),
% 0.84/1.23 bool ) ) ) }.
% 0.84/1.23 { is_fun1661590463l_bool( undefi64961550l_bool( fun( fun( pname, bool ),
% 0.84/1.23 bool ) ) ) }.
% 0.84/1.23 { ! is_fun_a_bool( X ), is_fun_a_bool( collect_a( X ) ) }.
% 0.84/1.23 { ! is_fun_pname_bool( X ), is_fun_pname_bool( collect_pname( X ) ) }.
% 0.84/1.23 { ! is_fun949378684l_bool( X ), is_fun949378684l_bool( collect_fun_a_bool(
% 0.84/1.23 X ) ) }.
% 0.84/1.23 { ! is_fun1661590463l_bool( X ), is_fun1661590463l_bool(
% 0.84/1.23 collec1974731493e_bool( X ) ) }.
% 0.84/1.23 { ! is_fun_a_bool( X ), is_fun_a_bool( image_a_a( Y, X ) ) }.
% 0.84/1.23 { ! is_fun_a_bool( X ), is_fun_pname_bool( image_a_pname( Y, X ) ) }.
% 0.84/1.23 { ! is_fun_pname_bool( X ), is_fun_a_bool( image_pname_a( Y, X ) ) }.
% 0.84/1.23 { ! is_fun_pname_bool( X ), is_fun_pname_bool( image_pname_pname( Y, X ) )
% 0.84/1.23 }.
% 0.84/1.23 { ! is_fun_pname_bool( X ), is_fun949378684l_bool( image_112932426a_bool( Y
% 0.84/1.23 , X ) ) }.
% 0.84/1.23 { ! is_fun_pname_bool( X ), is_fun1661590463l_bool( image_47868345e_bool( Y
% 0.84/1.23 , X ) ) }.
% 0.84/1.23 { is_fun_a_bool( image_nat_a( X, Y ) ) }.
% 0.84/1.23 { is_fun_pname_bool( image_nat_pname( X, Y ) ) }.
% 0.84/1.23 { is_fun949378684l_bool( image_nat_fun_a_bool( X, Y ) ) }.
% 0.84/1.23 { is_fun1661590463l_bool( image_1655916159e_bool( X, Y ) ) }.
% 0.84/1.23 { ! is_fun949378684l_bool( X ), is_fun_a_bool( image_fun_a_bool_a( Y, X ) )
% 0.84/1.23 }.
% 0.84/1.23 { ! is_fun949378684l_bool( X ), is_fun_pname_bool( image_1854862208_pname(
% 0.84/1.23 Y, X ) ) }.
% 0.84/1.23 { ! is_fun1661590463l_bool( X ), is_fun_a_bool( image_876012084bool_a( Y, X
% 0.84/1.23 ) ) }.
% 0.84/1.23 { ! is_fun1661590463l_bool( X ), is_fun_pname_bool( image_1283814551_pname
% 0.84/1.23 ( Y, X ) ) }.
% 0.84/1.23 { is_fun_a_bool( image_fun_nat_bool_a( X, Y ) ) }.
% 0.84/1.23 { is_fun_pname_bool( image_1921560913_pname( X, Y ) ) }.
% 0.84/1.23 { is_fun_a_bool( image_573985017bool_a( X, Y ) ) }.
% 0.84/1.23 { is_fun_pname_bool( image_990671762_pname( X, Y ) ) }.
% 0.84/1.23 { is_fun_a_bool( image_349102846bool_a( X, Y ) ) }.
% 0.84/1.23 { is_fun_pname_bool( image_1705983821_pname( X, Y ) ) }.
% 0.84/1.23 { is_fun_a_bool( image_526090948bool_a( X, Y ) ) }.
% 0.84/1.23 { is_fun_pname_bool( image_1604018183_pname( X, Y ) ) }.
% 0.84/1.23 { ! is_a( X ), ! is_fun_a_bool( Y ), is_fun_a_bool( insert_a( X, Y ) ) }.
% 0.84/1.23 { ! is_pname( X ), ! is_fun_pname_bool( Y ), is_fun_pname_bool(
% 0.84/1.23 insert_pname( X, Y ) ) }.
% 0.84/1.23 { ! is_fun_a_bool( X ), ! is_fun949378684l_bool( Y ), is_fun949378684l_bool
% 0.84/1.23 ( insert_fun_a_bool( X, Y ) ) }.
% 0.84/1.23 { ! is_fun_pname_bool( X ), ! is_fun1661590463l_bool( Y ),
% 0.84/1.23 is_fun1661590463l_bool( insert1325755072e_bool( X, Y ) ) }.
% 0.84/1.23 { ! is_fun_a_bool( X ), ! is_a( Y ), is_bool( hAPP_a_bool( X, Y ) ) }.
% 0.84/1.23 { ! is_a( X ), is_fun_a_bool( hAPP_a_fun_a_bool( Y, X ) ) }.
% 0.84/1.23 { ! is_a( X ), is_fun_pname_bool( hAPP_a93125764e_bool( Y, X ) ) }.
% 0.84/1.23 { ! is_a( X ), is_fun949378684l_bool( hAPP_a85458249l_bool( Y, X ) ) }.
% 0.84/1.23 { ! is_pname( X ), is_a( hAPP_pname_a( Y, X ) ) }.
% 0.84/1.23 { ! is_fun_pname_bool( X ), ! is_pname( Y ), is_bool( hAPP_pname_bool( X, Y
% 0.84/1.23 ) ) }.
% 0.84/1.23 { ! is_pname( X ), is_fun_a_bool( hAPP_p1534023578a_bool( Y, X ) ) }.
% 0.84/1.23 { ! is_pname( X ), is_fun_pname_bool( hAPP_p61793385e_bool( Y, X ) ) }.
% 0.84/1.23 { ! is_pname( X ), is_fun1661590463l_bool( hAPP_p338031245l_bool( Y, X ) )
% 0.84/1.23 }.
% 0.84/1.23 { ! is_bool( X ), is_bool( hAPP_bool_bool( Y, X ) ) }.
% 0.84/1.23 { is_bool( hAPP_nat_bool( X, Y ) ) }.
% 0.84/1.23 { is_fun_a_bool( hAPP_nat_fun_a_bool( X, Y ) ) }.
% 0.84/1.23 { is_fun_pname_bool( hAPP_n1025906991e_bool( X, Y ) ) }.
% 0.84/1.23 { ! is_fun949378684l_bool( X ), ! is_fun_a_bool( Y ), is_bool(
% 0.84/1.23 hAPP_fun_a_bool_bool( X, Y ) ) }.
% 0.84/1.23 { ! is_fun_a_bool( X ), is_fun_a_bool( hAPP_f2050579477a_bool( Y, X ) ) }.
% 0.84/1.23 { ! is_fun_a_bool( X ), is_fun949378684l_bool( hAPP_f1631501043l_bool( Y, X
% 0.84/1.23 ) ) }.
% 0.84/1.23 { ! is_fun1661590463l_bool( X ), ! is_fun_pname_bool( Y ), is_bool(
% 0.84/1.23 hAPP_f1664156314l_bool( X, Y ) ) }.
% 0.84/1.23 { ! is_fun_pname_bool( X ), is_fun_pname_bool( hAPP_f759274231e_bool( Y, X
% 0.84/1.23 ) ) }.
% 0.84/1.23 { ! is_fun_pname_bool( X ), is_fun1661590463l_bool( hAPP_f434788991l_bool(
% 0.84/1.23 Y, X ) ) }.
% 0.84/1.23 { is_bool( hAPP_f54304608l_bool( X, Y ) ) }.
% 0.84/1.23 { ! is_fun949378684l_bool( X ), is_bool( hAPP_f621171935l_bool( Y, X ) ) }
% 0.84/1.23 .
% 0.84/1.23 { ! is_fun949378684l_bool( X ), is_fun949378684l_bool(
% 0.84/1.23 hAPP_f2117159681l_bool( Y, X ) ) }.
% 0.84/1.23 { ! is_fun1661590463l_bool( X ), is_bool( hAPP_f1935102916l_bool( Y, X ) )
% 0.84/1.23 }.
% 0.84/1.23 { ! is_fun1661590463l_bool( X ), is_fun1661590463l_bool(
% 0.84/1.23 hAPP_f559147733l_bool( Y, X ) ) }.
% 0.84/1.23 { is_bool( hAPP_f1637334154l_bool( X, Y ) ) }.
% 0.84/1.23 { is_bool( hAPP_f292226953l_bool( X, Y ) ) }.
% 0.84/1.23 { is_bool( hAPP_f389811538l_bool( X, Y ) ) }.
% 0.84/1.23 { is_bool( hAPP_f937997336l_bool( X, Y ) ) }.
% 0.84/1.23 { is_bool( hAPP_f1363661463l_bool( X, Y ) ) }.
% 0.84/1.23 { is_bool( hAPP_f595608956l_bool( X, Y ) ) }.
% 0.84/1.23 { is_bool( hAPP_f1295398978l_bool( X, Y ) ) }.
% 0.84/1.23 { is_fun_a_bool( g ) }.
% 0.84/1.23 { ! is_fun_a_bool( X ), is_fun949378684l_bool( p( X ) ) }.
% 0.84/1.23 { is_fun_pname_bool( u ) }.
% 0.84/1.23 { is_pname( pn ) }.
% 0.84/1.23 { ! hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 0.84/1.23 ord_le1311769555a_bool, X ), Y ) ), hBOOL( hAPP_fun_a_bool_bool( p( Y ),
% 0.84/1.23 X ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f54304608l_bool( finite_finite_nat, X ) ), hBOOL(
% 0.84/1.23 hAPP_f1637334154l_bool( finite2012431853t_bool, collect_fun_nat_bool(
% 0.84/1.23 hAPP_f103356543l_bool( cOMBC_1693257480l_bool( ord_le1568362934t_bool ),
% 0.84/1.23 X ) ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, X ) ), hBOOL(
% 0.84/1.23 hAPP_f1935102916l_bool( finite595471783e_bool, collec1974731493e_bool(
% 0.84/1.23 hAPP_f434788991l_bool( cOMBC_1284144636l_bool( ord_le313189616e_bool ), X
% 0.84/1.23 ) ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_fun_a_bool_bool( finite_finite_a, X ) ), hBOOL(
% 0.84/1.23 hAPP_f621171935l_bool( finite347923420a_bool, collect_fun_a_bool(
% 0.84/1.23 hAPP_f1631501043l_bool( cOMBC_1732670874l_bool( ord_le1311769555a_bool )
% 0.84/1.23 , X ) ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f937997336l_bool( finite1701474069l_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_f1295398978l_bool( finite719726885l_bool, collec1874991203l_bool(
% 0.84/1.23 hAPP_f760187903l_bool( cOMBC_1269652216l_bool( ord_le65145710l_bool ), X
% 0.84/1.23 ) ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f389811538l_bool( finite786885583l_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_f595608956l_bool( finite1491191519l_bool, collec792590109l_bool(
% 0.84/1.23 hAPP_f1759205631l_bool( cOMBC_336095980l_bool( ord_le1375671464l_bool ),
% 0.84/1.23 X ) ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f292226953l_bool( finite1381704300l_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_f1363661463l_bool( finite1343359508l_bool, collec1635217238l_bool(
% 0.84/1.23 hAPP_f1050622307l_bool( cOMBC_636888218l_bool( ord_le967226251l_bool ), X
% 0.84/1.23 ) ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f621171935l_bool( finite347923420a_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_f292226953l_bool( finite1381704300l_bool, collec707592106l_bool(
% 0.84/1.23 hAPP_f1434722111l_bool( cOMBC_331553030l_bool( ord_le1375614389l_bool ),
% 0.84/1.23 X ) ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1935102916l_bool( finite595471783e_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_f389811538l_bool( finite786885583l_bool, collec1613912337l_bool(
% 0.84/1.23 hAPP_f510955609l_bool( cOMBC_7971162l_bool( ord_le675606854l_bool ), X )
% 0.84/1.23 ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1637334154l_bool( finite2012431853t_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_f937997336l_bool( finite1701474069l_bool, collec1015864663l_bool(
% 0.84/1.23 hAPP_f1772781669l_bool( cOMBC_595898202l_bool( ord_le1454342156l_bool ),
% 0.84/1.23 X ) ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, X ) ), hBOOL(
% 0.84/1.23 hAPP_fun_a_bool_bool( finite_finite_a, image_pname_a( Y, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f937997336l_bool( finite1701474069l_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_f54304608l_bool( finite_finite_nat, image_2089570637ol_nat( Y, X ) )
% 0.84/1.23 ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f389811538l_bool( finite786885583l_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_f54304608l_bool( finite_finite_nat, image_1079571347ol_nat( Y, X ) )
% 0.84/1.23 ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f292226953l_bool( finite1381704300l_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_f54304608l_bool( finite_finite_nat, image_1802975832ol_nat( Y, X ) )
% 0.84/1.23 ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f621171935l_bool( finite347923420a_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_f54304608l_bool( finite_finite_nat, image_fun_a_bool_nat( Y, X ) ) )
% 0.84/1.23 }.
% 0.84/1.23 { ! hBOOL( hAPP_f1935102916l_bool( finite595471783e_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_f54304608l_bool( finite_finite_nat, image_1551609309ol_nat( Y, X ) )
% 0.84/1.23 ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1637334154l_bool( finite2012431853t_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_f54304608l_bool( finite_finite_nat, image_496248727ol_nat( Y, X ) )
% 0.84/1.23 ) }.
% 0.84/1.23 { ! hBOOL( hAPP_fun_a_bool_bool( finite_finite_a, X ) ), hBOOL(
% 0.84/1.23 hAPP_f54304608l_bool( finite_finite_nat, image_a_nat( Y, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f937997336l_bool( finite1701474069l_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_f1664156314l_bool( finite_finite_pname, image_1604018183_pname( Y, X
% 0.84/1.23 ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f389811538l_bool( finite786885583l_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_f1664156314l_bool( finite_finite_pname, image_1705983821_pname( Y, X
% 0.84/1.23 ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f292226953l_bool( finite1381704300l_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_f1664156314l_bool( finite_finite_pname, image_990671762_pname( Y, X
% 0.84/1.23 ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f621171935l_bool( finite347923420a_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_f1664156314l_bool( finite_finite_pname, image_1854862208_pname( Y, X
% 0.84/1.23 ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1935102916l_bool( finite595471783e_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_f1664156314l_bool( finite_finite_pname, image_1283814551_pname( Y, X
% 0.84/1.23 ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1637334154l_bool( finite2012431853t_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_f1664156314l_bool( finite_finite_pname, image_1921560913_pname( Y, X
% 0.84/1.23 ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_fun_a_bool_bool( finite_finite_a, X ) ), hBOOL(
% 0.84/1.23 hAPP_f1664156314l_bool( finite_finite_pname, image_a_pname( Y, X ) ) ) }
% 0.84/1.23 .
% 0.84/1.23 { ! hBOOL( hAPP_f54304608l_bool( finite_finite_nat, X ) ), hBOOL(
% 0.84/1.23 hAPP_f937997336l_bool( finite1701474069l_bool, image_1607900221l_bool( Y
% 0.84/1.23 , X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f54304608l_bool( finite_finite_nat, X ) ), hBOOL(
% 0.84/1.23 hAPP_f389811538l_bool( finite786885583l_bool, image_1874789623l_bool( Y,
% 0.84/1.23 X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f54304608l_bool( finite_finite_nat, X ) ), hBOOL(
% 0.84/1.23 hAPP_f292226953l_bool( finite1381704300l_bool, image_1208015684l_bool( Y
% 0.84/1.23 , X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f54304608l_bool( finite_finite_nat, X ) ), hBOOL(
% 0.84/1.23 hAPP_f621171935l_bool( finite347923420a_bool, image_nat_fun_a_bool( Y, X
% 0.84/1.23 ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f54304608l_bool( finite_finite_nat, X ) ), hBOOL(
% 0.84/1.23 hAPP_f1935102916l_bool( finite595471783e_bool, image_1655916159e_bool( Y
% 0.84/1.23 , X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f54304608l_bool( finite_finite_nat, X ) ), hBOOL(
% 0.84/1.23 hAPP_f1637334154l_bool( finite2012431853t_bool, image_26036933t_bool( Y,
% 0.84/1.23 X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f54304608l_bool( finite_finite_nat, X ) ), hBOOL(
% 0.84/1.23 hAPP_fun_a_bool_bool( finite_finite_a, image_nat_a( Y, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, X ) ), hBOOL(
% 0.84/1.23 hAPP_f937997336l_bool( finite1701474069l_bool, image_1154884483l_bool( Y
% 0.84/1.23 , X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, X ) ), hBOOL(
% 0.84/1.23 hAPP_f389811538l_bool( finite786885583l_bool, image_1642285373l_bool( Y,
% 0.84/1.23 X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, X ) ), hBOOL(
% 0.84/1.23 hAPP_f292226953l_bool( finite1381704300l_bool, image_1420695166l_bool( Y
% 0.84/1.23 , X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, X ) ), hBOOL(
% 0.84/1.23 hAPP_f621171935l_bool( finite347923420a_bool, image_112932426a_bool( Y, X
% 0.84/1.23 ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, X ) ), hBOOL(
% 0.84/1.23 hAPP_f1935102916l_bool( finite595471783e_bool, image_47868345e_bool( Y, X
% 0.84/1.23 ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, X ) ), hBOOL(
% 0.84/1.23 hAPP_f1637334154l_bool( finite2012431853t_bool, image_2129980159t_bool( Y
% 0.84/1.23 , X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, X ) ), hBOOL(
% 0.84/1.23 hAPP_f1664156314l_bool( finite_finite_pname, image_pname_pname( Y, X ) )
% 0.84/1.23 ) }.
% 0.84/1.23 { ! hBOOL( hAPP_fun_a_bool_bool( finite_finite_a, X ) ), hBOOL(
% 0.84/1.23 hAPP_fun_a_bool_bool( finite_finite_a, image_a_a( Y, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1637334154l_bool( finite2012431853t_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_fun_a_bool_bool( finite_finite_a, image_fun_nat_bool_a( Y, X ) ) ) }
% 0.84/1.23 .
% 0.84/1.23 { ! hBOOL( hAPP_f1935102916l_bool( finite595471783e_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_fun_a_bool_bool( finite_finite_a, image_876012084bool_a( Y, X ) ) )
% 0.84/1.23 }.
% 0.84/1.23 { ! hBOOL( hAPP_f621171935l_bool( finite347923420a_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_fun_a_bool_bool( finite_finite_a, image_fun_a_bool_a( Y, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, X ) ), hBOOL(
% 0.84/1.23 hAPP_f54304608l_bool( finite_finite_nat, image_pname_nat( Y, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f54304608l_bool( finite_finite_nat, X ) ), hBOOL(
% 0.84/1.23 hAPP_f1664156314l_bool( finite_finite_pname, image_nat_pname( Y, X ) ) )
% 0.84/1.23 }.
% 0.84/1.23 { ! hBOOL( hAPP_fun_a_bool_bool( finite_finite_a, X ) ), hBOOL(
% 0.84/1.23 hAPP_fun_a_bool_bool( finite_finite_a, insert_a( Y, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f54304608l_bool( finite_finite_nat, X ) ), hBOOL(
% 0.84/1.23 hAPP_f54304608l_bool( finite_finite_nat, insert_nat( Y, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, X ) ), hBOOL(
% 0.84/1.23 hAPP_f1664156314l_bool( finite_finite_pname, insert_pname( Y, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f937997336l_bool( finite1701474069l_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_f937997336l_bool( finite1701474069l_bool, insert2003652156l_bool( Y
% 0.84/1.23 , X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f389811538l_bool( finite786885583l_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_f389811538l_bool( finite786885583l_bool, insert1117693814l_bool( Y,
% 0.84/1.23 X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f292226953l_bool( finite1381704300l_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_f292226953l_bool( finite1381704300l_bool, insert1457093509l_bool( Y
% 0.84/1.23 , X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f621171935l_bool( finite347923420a_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_f621171935l_bool( finite347923420a_bool, insert_fun_a_bool( Y, X ) )
% 0.84/1.23 ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1935102916l_bool( finite595471783e_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_f1935102916l_bool( finite595471783e_bool, insert1325755072e_bool( Y
% 0.84/1.23 , X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1637334154l_bool( finite2012431853t_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_f1637334154l_bool( finite2012431853t_bool, insert_fun_nat_bool( Y, X
% 0.84/1.23 ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, X ) ), hBOOL(
% 0.84/1.23 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_f22106695ol_nat( finite_card_nat, image_pname_nat( Y, X ) ) ),
% 0.84/1.23 hAPP_f921600141ol_nat( finite_card_pname, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_fun_a_bool_bool( finite_finite_a, X ) ), hBOOL(
% 0.84/1.23 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_f22106695ol_nat( finite_card_nat, image_a_nat( Y, X ) ) ),
% 0.84/1.23 hAPP_fun_a_bool_nat( finite_card_a, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1637334154l_bool( finite2012431853t_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_f22106695ol_nat( finite_card_nat, image_496248727ol_nat( Y, X ) ) )
% 0.84/1.23 , hAPP_f696928925ol_nat( finite346522414t_bool, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1935102916l_bool( finite595471783e_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_f22106695ol_nat( finite_card_nat, image_1551609309ol_nat( Y, X ) ) )
% 0.84/1.23 , hAPP_f55526627ol_nat( finite1340463720e_bool, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f621171935l_bool( finite347923420a_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_f22106695ol_nat( finite_card_nat, image_fun_a_bool_nat( Y, X ) ) ),
% 0.84/1.23 hAPP_f2009550088ol_nat( finite1306199131a_bool, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_fun_a_bool_bool( finite_finite_a, X ) ), hBOOL(
% 0.84/1.23 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_f921600141ol_nat( finite_card_pname, image_a_pname( Y, X ) ) ),
% 0.84/1.23 hAPP_fun_a_bool_nat( finite_card_a, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f54304608l_bool( finite_finite_nat, X ) ), hBOOL(
% 0.84/1.23 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_f921600141ol_nat( finite_card_pname, image_nat_pname( Y, X ) ) ),
% 0.84/1.23 hAPP_f22106695ol_nat( finite_card_nat, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, X ) ), hBOOL(
% 0.84/1.23 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_fun_a_bool_nat( finite_card_a, image_pname_a( Y, X ) ) ),
% 0.84/1.23 hAPP_f921600141ol_nat( finite_card_pname, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f937997336l_bool( finite1701474069l_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_fun_a_bool_nat( finite_card_a, image_526090948bool_a( Y, X ) ) ),
% 0.84/1.23 hAPP_f1690079119ol_nat( finite1352710292l_bool, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f389811538l_bool( finite786885583l_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_fun_a_bool_nat( finite_card_a, image_349102846bool_a( Y, X ) ) ),
% 0.84/1.23 hAPP_f98387925ol_nat( finite269641166l_bool, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f292226953l_bool( finite1381704300l_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_fun_a_bool_nat( finite_card_a, image_573985017bool_a( Y, X ) ) ),
% 0.84/1.23 hAPP_f1253658590ol_nat( finite1659325229l_bool, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f621171935l_bool( finite347923420a_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_fun_a_bool_nat( finite_card_a, image_fun_a_bool_a( Y, X ) ) ),
% 0.84/1.23 hAPP_f2009550088ol_nat( finite1306199131a_bool, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1935102916l_bool( finite595471783e_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_fun_a_bool_nat( finite_card_a, image_876012084bool_a( Y, X ) ) ),
% 0.84/1.23 hAPP_f55526627ol_nat( finite1340463720e_bool, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1637334154l_bool( finite2012431853t_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_fun_a_bool_nat( finite_card_a, image_fun_nat_bool_a( Y, X ) ) ),
% 0.84/1.23 hAPP_f696928925ol_nat( finite346522414t_bool, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_fun_a_bool_bool( finite_finite_a, X ) ), hBOOL(
% 0.84/1.23 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_fun_a_bool_nat( finite_card_a, image_a_a( Y, X ) ) ),
% 0.84/1.23 hAPP_fun_a_bool_nat( finite_card_a, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, X ) ), hBOOL(
% 0.84/1.23 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_f921600141ol_nat( finite_card_pname, image_pname_pname( Y, X ) ) ),
% 0.84/1.23 hAPP_f921600141ol_nat( finite_card_pname, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, X ) ), hBOOL(
% 0.84/1.23 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_f696928925ol_nat( finite346522414t_bool, image_2129980159t_bool( Y,
% 0.84/1.23 X ) ) ), hAPP_f921600141ol_nat( finite_card_pname, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, X ) ), hBOOL(
% 0.84/1.23 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_f55526627ol_nat( finite1340463720e_bool, image_47868345e_bool( Y, X
% 0.84/1.23 ) ) ), hAPP_f921600141ol_nat( finite_card_pname, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, X ) ), hBOOL(
% 0.84/1.23 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_f2009550088ol_nat( finite1306199131a_bool, image_112932426a_bool( Y
% 0.84/1.23 , X ) ) ), hAPP_f921600141ol_nat( finite_card_pname, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f54304608l_bool( finite_finite_nat, X ) ), hBOOL(
% 0.84/1.23 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_fun_a_bool_nat( finite_card_a, image_nat_a( Y, X ) ) ),
% 0.84/1.23 hAPP_f22106695ol_nat( finite_card_nat, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f54304608l_bool( finite_finite_nat, X ) ), hBOOL(
% 0.84/1.23 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_f696928925ol_nat( finite346522414t_bool, image_26036933t_bool( Y, X
% 0.84/1.23 ) ) ), hAPP_f22106695ol_nat( finite_card_nat, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f54304608l_bool( finite_finite_nat, X ) ), hBOOL(
% 0.84/1.23 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_f55526627ol_nat( finite1340463720e_bool, image_1655916159e_bool( Y,
% 0.84/1.23 X ) ) ), hAPP_f22106695ol_nat( finite_card_nat, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f54304608l_bool( finite_finite_nat, X ) ), hBOOL(
% 0.84/1.23 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_f2009550088ol_nat( finite1306199131a_bool, image_nat_fun_a_bool( Y,
% 0.84/1.23 X ) ) ), hAPP_f22106695ol_nat( finite_card_nat, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1637334154l_bool( finite2012431853t_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_f921600141ol_nat( finite_card_pname, image_1921560913_pname( Y, X )
% 0.84/1.23 ) ), hAPP_f696928925ol_nat( finite346522414t_bool, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1935102916l_bool( finite595471783e_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_f921600141ol_nat( finite_card_pname, image_1283814551_pname( Y, X )
% 0.84/1.23 ) ), hAPP_f55526627ol_nat( finite1340463720e_bool, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f621171935l_bool( finite347923420a_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_f921600141ol_nat( finite_card_pname, image_1854862208_pname( Y, X )
% 0.84/1.23 ) ), hAPP_f2009550088ol_nat( finite1306199131a_bool, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1637334154l_bool( finite2012431853t_bool, X ) ), ! hBOOL(
% 0.84/1.23 hAPP_f1637334154l_bool( hAPP_f1772781669l_bool( ord_le1454342156l_bool, Y
% 0.84/1.23 ), X ) ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat
% 0.84/1.23 , hAPP_f696928925ol_nat( finite346522414t_bool, Y ) ),
% 0.84/1.23 hAPP_f696928925ol_nat( finite346522414t_bool, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1935102916l_bool( finite595471783e_bool, X ) ), ! hBOOL(
% 0.84/1.23 hAPP_f1935102916l_bool( hAPP_f510955609l_bool( ord_le675606854l_bool, Y )
% 0.84/1.23 , X ) ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_f55526627ol_nat( finite1340463720e_bool, Y ) ), hAPP_f55526627ol_nat
% 0.84/1.23 ( finite1340463720e_bool, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f621171935l_bool( finite347923420a_bool, X ) ), ! hBOOL(
% 0.84/1.23 hAPP_f621171935l_bool( hAPP_f1434722111l_bool( ord_le1375614389l_bool, Y
% 0.84/1.23 ), X ) ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat
% 0.84/1.23 , hAPP_f2009550088ol_nat( finite1306199131a_bool, Y ) ),
% 0.84/1.23 hAPP_f2009550088ol_nat( finite1306199131a_bool, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, X ) ), ! hBOOL(
% 0.84/1.23 hAPP_f1664156314l_bool( hAPP_f434788991l_bool( ord_le313189616e_bool, Y )
% 0.84/1.23 , X ) ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_f921600141ol_nat( finite_card_pname, Y ) ), hAPP_f921600141ol_nat(
% 0.84/1.23 finite_card_pname, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_fun_a_bool_bool( finite_finite_a, X ) ), ! hBOOL(
% 0.84/1.23 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool, Y )
% 0.84/1.23 , X ) ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_fun_a_bool_nat( finite_card_a, Y ) ), hAPP_fun_a_bool_nat(
% 0.84/1.23 finite_card_a, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f54304608l_bool( finite_finite_nat, X ) ), ! hBOOL(
% 0.84/1.23 hAPP_f54304608l_bool( hAPP_f103356543l_bool( ord_le1568362934t_bool, Y )
% 0.84/1.23 , X ) ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_f22106695ol_nat( finite_card_nat, Y ) ), hAPP_f22106695ol_nat(
% 0.84/1.23 finite_card_nat, X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1637334154l_bool( finite2012431853t_bool, X ) ), ! hBOOL(
% 0.84/1.23 hAPP_f1637334154l_bool( hAPP_f1772781669l_bool( ord_le1454342156l_bool, Y
% 0.84/1.23 ), X ) ), ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool(
% 0.84/1.23 ord_less_eq_nat, hAPP_f696928925ol_nat( finite346522414t_bool, X ) ),
% 0.84/1.23 hAPP_f696928925ol_nat( finite346522414t_bool, Y ) ) ), Y = X }.
% 0.84/1.23 { ! is_fun1661590463l_bool( X ), ! is_fun1661590463l_bool( Y ), ! hBOOL(
% 0.84/1.23 hAPP_f1935102916l_bool( finite595471783e_bool, Y ) ), ! hBOOL(
% 0.84/1.23 hAPP_f1935102916l_bool( hAPP_f510955609l_bool( ord_le675606854l_bool, X )
% 0.84/1.23 , Y ) ), ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat
% 0.84/1.23 , hAPP_f55526627ol_nat( finite1340463720e_bool, Y ) ),
% 0.84/1.23 hAPP_f55526627ol_nat( finite1340463720e_bool, X ) ) ), X = Y }.
% 0.84/1.23 { ! is_fun949378684l_bool( X ), ! is_fun949378684l_bool( Y ), ! hBOOL(
% 0.84/1.23 hAPP_f621171935l_bool( finite347923420a_bool, Y ) ), ! hBOOL(
% 0.84/1.23 hAPP_f621171935l_bool( hAPP_f1434722111l_bool( ord_le1375614389l_bool, X
% 0.84/1.23 ), Y ) ), ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool(
% 0.84/1.23 ord_less_eq_nat, hAPP_f2009550088ol_nat( finite1306199131a_bool, Y ) ),
% 0.84/1.23 hAPP_f2009550088ol_nat( finite1306199131a_bool, X ) ) ), X = Y }.
% 0.84/1.23 { ! is_fun_pname_bool( X ), ! is_fun_pname_bool( Y ), ! hBOOL(
% 0.84/1.23 hAPP_f1664156314l_bool( finite_finite_pname, Y ) ), ! hBOOL(
% 0.84/1.23 hAPP_f1664156314l_bool( hAPP_f434788991l_bool( ord_le313189616e_bool, X )
% 0.84/1.23 , Y ) ), ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat
% 0.84/1.23 , hAPP_f921600141ol_nat( finite_card_pname, Y ) ), hAPP_f921600141ol_nat
% 0.84/1.23 ( finite_card_pname, X ) ) ), X = Y }.
% 0.84/1.23 { ! is_fun_a_bool( X ), ! is_fun_a_bool( Y ), ! hBOOL( hAPP_fun_a_bool_bool
% 0.84/1.23 ( finite_finite_a, Y ) ), ! hBOOL( hAPP_fun_a_bool_bool(
% 0.84/1.23 hAPP_f1631501043l_bool( ord_le1311769555a_bool, X ), Y ) ), ! hBOOL(
% 0.84/1.23 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_fun_a_bool_nat( finite_card_a, Y ) ), hAPP_fun_a_bool_nat(
% 0.84/1.23 finite_card_a, X ) ) ), X = Y }.
% 0.84/1.23 { ! hBOOL( hAPP_f54304608l_bool( finite_finite_nat, X ) ), ! hBOOL(
% 0.84/1.23 hAPP_f54304608l_bool( hAPP_f103356543l_bool( ord_le1568362934t_bool, Y )
% 0.84/1.23 , X ) ), ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat
% 0.84/1.23 , hAPP_f22106695ol_nat( finite_card_nat, X ) ), hAPP_f22106695ol_nat(
% 0.84/1.23 finite_card_nat, Y ) ) ), Y = X }.
% 0.84/1.23 { ! hBOOL( hAPP_f1637334154l_bool( finite2012431853t_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_f696928925ol_nat( finite346522414t_bool, X ) ),
% 0.84/1.23 hAPP_f696928925ol_nat( finite346522414t_bool, insert_fun_nat_bool( Y, X )
% 0.84/1.23 ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1935102916l_bool( finite595471783e_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_f55526627ol_nat( finite1340463720e_bool, X ) ), hAPP_f55526627ol_nat
% 0.84/1.23 ( finite1340463720e_bool, insert1325755072e_bool( Y, X ) ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f621171935l_bool( finite347923420a_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_f2009550088ol_nat( finite1306199131a_bool, X ) ),
% 0.84/1.23 hAPP_f2009550088ol_nat( finite1306199131a_bool, insert_fun_a_bool( Y, X )
% 0.84/1.23 ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, X ) ), hBOOL(
% 0.84/1.23 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_f921600141ol_nat( finite_card_pname, X ) ), hAPP_f921600141ol_nat(
% 0.84/1.23 finite_card_pname, insert_pname( Y, X ) ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f54304608l_bool( finite_finite_nat, X ) ), hBOOL(
% 0.84/1.23 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_f22106695ol_nat( finite_card_nat, X ) ), hAPP_f22106695ol_nat(
% 0.84/1.23 finite_card_nat, insert_nat( Y, X ) ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_fun_a_bool_bool( finite_finite_a, X ) ), hBOOL(
% 0.84/1.23 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.23 hAPP_fun_a_bool_nat( finite_card_a, X ) ), hAPP_fun_a_bool_nat(
% 0.84/1.23 finite_card_a, insert_a( Y, X ) ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1637334154l_bool( finite2012431853t_bool, X ) ), ! hBOOL(
% 0.84/1.23 hAPP_f1637334154l_bool( hAPP_f1951378235l_bool( member_fun_nat_bool, Y )
% 0.84/1.23 , X ) ), hAPP_f696928925ol_nat( finite346522414t_bool,
% 0.84/1.23 insert_fun_nat_bool( Y, X ) ) = hAPP_f696928925ol_nat(
% 0.84/1.23 finite346522414t_bool, X ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1637334154l_bool( finite2012431853t_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_f1637334154l_bool( hAPP_f1951378235l_bool( member_fun_nat_bool, Y )
% 0.84/1.23 , X ) ), hAPP_f696928925ol_nat( finite346522414t_bool,
% 0.84/1.23 insert_fun_nat_bool( Y, X ) ) = hAPP_nat_nat( suc, hAPP_f696928925ol_nat
% 0.84/1.23 ( finite346522414t_bool, X ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1935102916l_bool( finite595471783e_bool, X ) ), ! hBOOL(
% 0.84/1.23 hAPP_f1935102916l_bool( hAPP_f556039215l_bool( member799430823e_bool, Y )
% 0.84/1.23 , X ) ), hAPP_f55526627ol_nat( finite1340463720e_bool,
% 0.84/1.23 insert1325755072e_bool( Y, X ) ) = hAPP_f55526627ol_nat(
% 0.84/1.23 finite1340463720e_bool, X ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1935102916l_bool( finite595471783e_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_f1935102916l_bool( hAPP_f556039215l_bool( member799430823e_bool, Y )
% 0.84/1.23 , X ) ), hAPP_f55526627ol_nat( finite1340463720e_bool,
% 0.84/1.23 insert1325755072e_bool( Y, X ) ) = hAPP_nat_nat( suc,
% 0.84/1.23 hAPP_f55526627ol_nat( finite1340463720e_bool, X ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f621171935l_bool( finite347923420a_bool, X ) ), ! hBOOL(
% 0.84/1.23 hAPP_f621171935l_bool( hAPP_f285962445l_bool( member_fun_a_bool, Y ), X )
% 0.84/1.23 ), hAPP_f2009550088ol_nat( finite1306199131a_bool, insert_fun_a_bool( Y
% 0.84/1.23 , X ) ) = hAPP_f2009550088ol_nat( finite1306199131a_bool, X ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f621171935l_bool( finite347923420a_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_f621171935l_bool( hAPP_f285962445l_bool( member_fun_a_bool, Y ), X )
% 0.84/1.23 ), hAPP_f2009550088ol_nat( finite1306199131a_bool, insert_fun_a_bool( Y
% 0.84/1.23 , X ) ) = hAPP_nat_nat( suc, hAPP_f2009550088ol_nat(
% 0.84/1.23 finite1306199131a_bool, X ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f54304608l_bool( finite_finite_nat, X ) ), ! hBOOL(
% 0.84/1.23 hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, Y ), X ) ),
% 0.84/1.23 hAPP_f22106695ol_nat( finite_card_nat, insert_nat( Y, X ) ) =
% 0.84/1.23 hAPP_f22106695ol_nat( finite_card_nat, X ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f54304608l_bool( finite_finite_nat, X ) ), hBOOL(
% 0.84/1.23 hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, Y ), X ) ),
% 0.84/1.23 hAPP_f22106695ol_nat( finite_card_nat, insert_nat( Y, X ) ) =
% 0.84/1.23 hAPP_nat_nat( suc, hAPP_f22106695ol_nat( finite_card_nat, X ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, X ) ), ! hBOOL(
% 0.84/1.23 hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, Y ), X ) ),
% 0.84/1.23 hAPP_f921600141ol_nat( finite_card_pname, insert_pname( Y, X ) ) =
% 0.84/1.23 hAPP_f921600141ol_nat( finite_card_pname, X ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, X ) ), hBOOL(
% 0.84/1.23 hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, Y ), X ) ),
% 0.84/1.23 hAPP_f921600141ol_nat( finite_card_pname, insert_pname( Y, X ) ) =
% 0.84/1.23 hAPP_nat_nat( suc, hAPP_f921600141ol_nat( finite_card_pname, X ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_fun_a_bool_bool( finite_finite_a, X ) ), ! hBOOL(
% 0.84/1.23 hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, Y ), X ) ),
% 0.84/1.23 hAPP_fun_a_bool_nat( finite_card_a, insert_a( Y, X ) ) =
% 0.84/1.23 hAPP_fun_a_bool_nat( finite_card_a, X ) }.
% 0.84/1.23 { ! hBOOL( hAPP_fun_a_bool_bool( finite_finite_a, X ) ), hBOOL(
% 0.84/1.23 hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, Y ), X ) ),
% 0.84/1.23 hAPP_fun_a_bool_nat( finite_card_a, insert_a( Y, X ) ) = hAPP_nat_nat(
% 0.84/1.23 suc, hAPP_fun_a_bool_nat( finite_card_a, X ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1637334154l_bool( finite2012431853t_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_f1637334154l_bool( hAPP_f1951378235l_bool( member_fun_nat_bool, Y )
% 0.84/1.23 , X ) ), hAPP_f696928925ol_nat( finite346522414t_bool,
% 0.84/1.23 insert_fun_nat_bool( Y, X ) ) = hAPP_nat_nat( suc, hAPP_f696928925ol_nat
% 0.84/1.23 ( finite346522414t_bool, X ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1935102916l_bool( finite595471783e_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_f1935102916l_bool( hAPP_f556039215l_bool( member799430823e_bool, Y )
% 0.84/1.23 , X ) ), hAPP_f55526627ol_nat( finite1340463720e_bool,
% 0.84/1.23 insert1325755072e_bool( Y, X ) ) = hAPP_nat_nat( suc,
% 0.84/1.23 hAPP_f55526627ol_nat( finite1340463720e_bool, X ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f621171935l_bool( finite347923420a_bool, X ) ), hBOOL(
% 0.84/1.23 hAPP_f621171935l_bool( hAPP_f285962445l_bool( member_fun_a_bool, Y ), X )
% 0.84/1.23 ), hAPP_f2009550088ol_nat( finite1306199131a_bool, insert_fun_a_bool( Y
% 0.84/1.23 , X ) ) = hAPP_nat_nat( suc, hAPP_f2009550088ol_nat(
% 0.84/1.23 finite1306199131a_bool, X ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f54304608l_bool( finite_finite_nat, X ) ), hBOOL(
% 0.84/1.23 hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, Y ), X ) ),
% 0.84/1.23 hAPP_f22106695ol_nat( finite_card_nat, insert_nat( Y, X ) ) =
% 0.84/1.23 hAPP_nat_nat( suc, hAPP_f22106695ol_nat( finite_card_nat, X ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, X ) ), hBOOL(
% 0.84/1.23 hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, Y ), X ) ),
% 0.84/1.23 hAPP_f921600141ol_nat( finite_card_pname, insert_pname( Y, X ) ) =
% 0.84/1.23 hAPP_nat_nat( suc, hAPP_f921600141ol_nat( finite_card_pname, X ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_fun_a_bool_bool( finite_finite_a, X ) ), hBOOL(
% 0.84/1.23 hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, Y ), X ) ),
% 0.84/1.23 hAPP_fun_a_bool_nat( finite_card_a, insert_a( Y, X ) ) = hAPP_nat_nat(
% 0.84/1.23 suc, hAPP_fun_a_bool_nat( finite_card_a, X ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1637334154l_bool( finite2012431853t_bool,
% 0.84/1.23 collect_fun_nat_bool( Y ) ) ), hBOOL( hAPP_f1637334154l_bool(
% 0.84/1.23 finite2012431853t_bool, collect_fun_nat_bool( cOMBS_1187019125l_bool(
% 0.84/1.23 cOMBB_444170502t_bool( fconj, Y ), X ) ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1637334154l_bool( finite2012431853t_bool,
% 0.84/1.23 collect_fun_nat_bool( X ) ) ), hBOOL( hAPP_f1637334154l_bool(
% 0.84/1.23 finite2012431853t_bool, collect_fun_nat_bool( cOMBS_1187019125l_bool(
% 0.84/1.23 cOMBB_444170502t_bool( fconj, Y ), X ) ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1935102916l_bool( finite595471783e_bool,
% 0.84/1.23 collec1974731493e_bool( Y ) ) ), hBOOL( hAPP_f1935102916l_bool(
% 0.84/1.23 finite595471783e_bool, collec1974731493e_bool( cOMBS_350070575l_bool(
% 0.84/1.23 cOMBB_2095475776e_bool( fconj, Y ), X ) ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1935102916l_bool( finite595471783e_bool,
% 0.84/1.23 collec1974731493e_bool( X ) ) ), hBOOL( hAPP_f1935102916l_bool(
% 0.84/1.23 finite595471783e_bool, collec1974731493e_bool( cOMBS_350070575l_bool(
% 0.84/1.23 cOMBB_2095475776e_bool( fconj, Y ), X ) ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f621171935l_bool( finite347923420a_bool, collect_fun_a_bool
% 0.84/1.23 ( Y ) ) ), hBOOL( hAPP_f621171935l_bool( finite347923420a_bool,
% 0.84/1.23 collect_fun_a_bool( cOMBS_1035972772l_bool( cOMBB_338059395a_bool( fconj
% 0.84/1.23 , Y ), X ) ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f621171935l_bool( finite347923420a_bool, collect_fun_a_bool
% 0.84/1.23 ( X ) ) ), hBOOL( hAPP_f621171935l_bool( finite347923420a_bool,
% 0.84/1.23 collect_fun_a_bool( cOMBS_1035972772l_bool( cOMBB_338059395a_bool( fconj
% 0.84/1.23 , Y ), X ) ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_fun_a_bool_bool( finite_finite_a, collect_a( Y ) ) ), hBOOL
% 0.84/1.23 ( hAPP_fun_a_bool_bool( finite_finite_a, collect_a( cOMBS_a_bool_bool(
% 0.84/1.23 cOMBB_1972296269bool_a( fconj, Y ), X ) ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_fun_a_bool_bool( finite_finite_a, collect_a( X ) ) ), hBOOL
% 0.84/1.23 ( hAPP_fun_a_bool_bool( finite_finite_a, collect_a( cOMBS_a_bool_bool(
% 0.84/1.23 cOMBB_1972296269bool_a( fconj, Y ), X ) ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, collect_pname( Y )
% 0.84/1.23 ) ), hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, collect_pname(
% 0.84/1.23 cOMBS_568398431l_bool( cOMBB_675860798_pname( fconj, Y ), X ) ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, collect_pname( X )
% 0.84/1.23 ) ), hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, collect_pname(
% 0.84/1.23 cOMBS_568398431l_bool( cOMBB_675860798_pname( fconj, Y ), X ) ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f54304608l_bool( finite_finite_nat, collect_nat( Y ) ) ),
% 0.84/1.23 hBOOL( hAPP_f54304608l_bool( finite_finite_nat, collect_nat(
% 0.84/1.23 cOMBS_nat_bool_bool( cOMBB_1015721476ol_nat( fconj, Y ), X ) ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f54304608l_bool( finite_finite_nat, collect_nat( X ) ) ),
% 0.84/1.23 hBOOL( hAPP_f54304608l_bool( finite_finite_nat, collect_nat(
% 0.84/1.23 cOMBS_nat_bool_bool( cOMBB_1015721476ol_nat( fconj, Y ), X ) ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y )
% 0.84/1.23 ), hAPP_nat_nat( minus_minus_nat( hAPP_nat_nat( suc, Y ) ), X ) =
% 0.84/1.23 hAPP_nat_nat( suc, hAPP_nat_nat( minus_minus_nat( Y ), X ) ) }.
% 0.84/1.23 { hBOOL( hAPP_f54304608l_bool( finite_finite_nat, collect_nat(
% 0.84/1.23 hAPP_n1699378549t_bool( cOMBC_nat_nat_bool( ord_less_eq_nat ), X ) ) ) )
% 0.84/1.23 }.
% 0.84/1.23 { hAPP_f22106695ol_nat( finite_card_nat, collect_nat(
% 0.84/1.23 hAPP_n1699378549t_bool( cOMBC_nat_nat_bool( ord_less_eq_nat ), X ) ) ) =
% 0.84/1.23 hAPP_nat_nat( suc, X ) }.
% 0.84/1.23 { ! hAPP_nat_nat( suc, X ) = hAPP_nat_nat( suc, Y ), X = Y }.
% 0.84/1.23 { ! hAPP_nat_nat( suc, X ) = hAPP_nat_nat( suc, Y ), X = Y }.
% 0.84/1.23 { ! X = Y, hAPP_nat_nat( suc, X ) = hAPP_nat_nat( suc, Y ) }.
% 0.84/1.23 { ! hAPP_nat_nat( suc, X ) = X }.
% 0.84/1.23 { ! X = hAPP_nat_nat( suc, X ) }.
% 0.84/1.23 { ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y )
% 0.84/1.23 ), ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, Y )
% 0.84/1.23 , X ) ), X = Y }.
% 0.84/1.23 { ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y )
% 0.84/1.23 ), ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, Y )
% 0.84/1.23 , Z ) ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X
% 0.84/1.23 ), Z ) ) }.
% 0.84/1.23 { ! X = Y, hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X
% 0.84/1.23 ), Y ) ) }.
% 0.84/1.23 { hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y ) )
% 0.84/1.23 , hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, Y ), X )
% 0.84/1.23 ) }.
% 0.84/1.23 { hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X ), X ) )
% 0.84/1.23 }.
% 0.84/1.23 { hAPP_nat_nat( minus_minus_nat( hAPP_nat_nat( minus_minus_nat( X ), Y ) )
% 0.84/1.23 , Z ) = hAPP_nat_nat( minus_minus_nat( hAPP_nat_nat( minus_minus_nat( X )
% 0.84/1.23 , Z ) ), Y ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, collect_pname(
% 0.84/1.23 cOMBS_568398431l_bool( cOMBB_675860798_pname( fdisj, X ), Y ) ) ) ),
% 0.84/1.23 hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, collect_pname( X ) )
% 0.84/1.23 ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, collect_pname(
% 0.84/1.23 cOMBS_568398431l_bool( cOMBB_675860798_pname( fdisj, X ), Y ) ) ) ),
% 0.84/1.23 hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, collect_pname( Y ) )
% 0.84/1.23 ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, collect_pname( X )
% 0.84/1.23 ) ), ! hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, collect_pname
% 0.84/1.23 ( Y ) ) ), hBOOL( hAPP_f1664156314l_bool( finite_finite_pname,
% 0.84/1.23 collect_pname( cOMBS_568398431l_bool( cOMBB_675860798_pname( fdisj, X ),
% 0.84/1.23 Y ) ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1637334154l_bool( finite2012431853t_bool,
% 0.84/1.23 collect_fun_nat_bool( cOMBS_1187019125l_bool( cOMBB_444170502t_bool(
% 0.84/1.23 fdisj, X ), Y ) ) ) ), hBOOL( hAPP_f1637334154l_bool(
% 0.84/1.23 finite2012431853t_bool, collect_fun_nat_bool( X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1637334154l_bool( finite2012431853t_bool,
% 0.84/1.23 collect_fun_nat_bool( cOMBS_1187019125l_bool( cOMBB_444170502t_bool(
% 0.84/1.23 fdisj, X ), Y ) ) ) ), hBOOL( hAPP_f1637334154l_bool(
% 0.84/1.23 finite2012431853t_bool, collect_fun_nat_bool( Y ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1637334154l_bool( finite2012431853t_bool,
% 0.84/1.23 collect_fun_nat_bool( X ) ) ), ! hBOOL( hAPP_f1637334154l_bool(
% 0.84/1.23 finite2012431853t_bool, collect_fun_nat_bool( Y ) ) ), hBOOL(
% 0.84/1.23 hAPP_f1637334154l_bool( finite2012431853t_bool, collect_fun_nat_bool(
% 0.84/1.23 cOMBS_1187019125l_bool( cOMBB_444170502t_bool( fdisj, X ), Y ) ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1935102916l_bool( finite595471783e_bool,
% 0.84/1.23 collec1974731493e_bool( cOMBS_350070575l_bool( cOMBB_2095475776e_bool(
% 0.84/1.23 fdisj, X ), Y ) ) ) ), hBOOL( hAPP_f1935102916l_bool(
% 0.84/1.23 finite595471783e_bool, collec1974731493e_bool( X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1935102916l_bool( finite595471783e_bool,
% 0.84/1.23 collec1974731493e_bool( cOMBS_350070575l_bool( cOMBB_2095475776e_bool(
% 0.84/1.23 fdisj, X ), Y ) ) ) ), hBOOL( hAPP_f1935102916l_bool(
% 0.84/1.23 finite595471783e_bool, collec1974731493e_bool( Y ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1935102916l_bool( finite595471783e_bool,
% 0.84/1.23 collec1974731493e_bool( X ) ) ), ! hBOOL( hAPP_f1935102916l_bool(
% 0.84/1.23 finite595471783e_bool, collec1974731493e_bool( Y ) ) ), hBOOL(
% 0.84/1.23 hAPP_f1935102916l_bool( finite595471783e_bool, collec1974731493e_bool(
% 0.84/1.23 cOMBS_350070575l_bool( cOMBB_2095475776e_bool( fdisj, X ), Y ) ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f621171935l_bool( finite347923420a_bool, collect_fun_a_bool
% 0.84/1.23 ( cOMBS_1035972772l_bool( cOMBB_338059395a_bool( fdisj, X ), Y ) ) ) ),
% 0.84/1.23 hBOOL( hAPP_f621171935l_bool( finite347923420a_bool, collect_fun_a_bool(
% 0.84/1.23 X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f621171935l_bool( finite347923420a_bool, collect_fun_a_bool
% 0.84/1.23 ( cOMBS_1035972772l_bool( cOMBB_338059395a_bool( fdisj, X ), Y ) ) ) ),
% 0.84/1.23 hBOOL( hAPP_f621171935l_bool( finite347923420a_bool, collect_fun_a_bool(
% 0.84/1.23 Y ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f621171935l_bool( finite347923420a_bool, collect_fun_a_bool
% 0.84/1.23 ( X ) ) ), ! hBOOL( hAPP_f621171935l_bool( finite347923420a_bool,
% 0.84/1.23 collect_fun_a_bool( Y ) ) ), hBOOL( hAPP_f621171935l_bool(
% 0.84/1.23 finite347923420a_bool, collect_fun_a_bool( cOMBS_1035972772l_bool(
% 0.84/1.23 cOMBB_338059395a_bool( fdisj, X ), Y ) ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f54304608l_bool( finite_finite_nat, collect_nat(
% 0.84/1.23 cOMBS_nat_bool_bool( cOMBB_1015721476ol_nat( fdisj, X ), Y ) ) ) ), hBOOL
% 0.84/1.23 ( hAPP_f54304608l_bool( finite_finite_nat, collect_nat( X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f54304608l_bool( finite_finite_nat, collect_nat(
% 0.84/1.23 cOMBS_nat_bool_bool( cOMBB_1015721476ol_nat( fdisj, X ), Y ) ) ) ), hBOOL
% 0.84/1.23 ( hAPP_f54304608l_bool( finite_finite_nat, collect_nat( Y ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f54304608l_bool( finite_finite_nat, collect_nat( X ) ) ), !
% 0.84/1.23 hBOOL( hAPP_f54304608l_bool( finite_finite_nat, collect_nat( Y ) ) ),
% 0.84/1.23 hBOOL( hAPP_f54304608l_bool( finite_finite_nat, collect_nat(
% 0.84/1.23 cOMBS_nat_bool_bool( cOMBB_1015721476ol_nat( fdisj, X ), Y ) ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_fun_a_bool_bool( finite_finite_a, collect_a(
% 0.84/1.23 cOMBS_a_bool_bool( cOMBB_1972296269bool_a( fdisj, X ), Y ) ) ) ), hBOOL(
% 0.84/1.23 hAPP_fun_a_bool_bool( finite_finite_a, collect_a( X ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_fun_a_bool_bool( finite_finite_a, collect_a(
% 0.84/1.23 cOMBS_a_bool_bool( cOMBB_1972296269bool_a( fdisj, X ), Y ) ) ) ), hBOOL(
% 0.84/1.23 hAPP_fun_a_bool_bool( finite_finite_a, collect_a( Y ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_fun_a_bool_bool( finite_finite_a, collect_a( X ) ) ), !
% 0.84/1.23 hBOOL( hAPP_fun_a_bool_bool( finite_finite_a, collect_a( Y ) ) ), hBOOL(
% 0.84/1.23 hAPP_fun_a_bool_bool( finite_finite_a, collect_a( cOMBS_a_bool_bool(
% 0.84/1.23 cOMBB_1972296269bool_a( fdisj, X ), Y ) ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f54304608l_bool( finite_finite_nat, insert_nat( X, Y ) ) )
% 0.84/1.23 , hBOOL( hAPP_f54304608l_bool( finite_finite_nat, Y ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f54304608l_bool( finite_finite_nat, Y ) ), hBOOL(
% 0.84/1.23 hAPP_f54304608l_bool( finite_finite_nat, insert_nat( X, Y ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, insert_pname( X, Y
% 0.84/1.23 ) ) ), hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, Y ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, Y ) ), hBOOL(
% 0.84/1.23 hAPP_f1664156314l_bool( finite_finite_pname, insert_pname( X, Y ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_fun_a_bool_bool( finite_finite_a, insert_a( X, Y ) ) ),
% 0.84/1.23 hBOOL( hAPP_fun_a_bool_bool( finite_finite_a, Y ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_fun_a_bool_bool( finite_finite_a, Y ) ), hBOOL(
% 0.84/1.23 hAPP_fun_a_bool_bool( finite_finite_a, insert_a( X, Y ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1637334154l_bool( finite2012431853t_bool,
% 0.84/1.23 insert_fun_nat_bool( X, Y ) ) ), hBOOL( hAPP_f1637334154l_bool(
% 0.84/1.23 finite2012431853t_bool, Y ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1637334154l_bool( finite2012431853t_bool, Y ) ), hBOOL(
% 0.84/1.23 hAPP_f1637334154l_bool( finite2012431853t_bool, insert_fun_nat_bool( X, Y
% 0.84/1.23 ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1935102916l_bool( finite595471783e_bool,
% 0.84/1.23 insert1325755072e_bool( X, Y ) ) ), hBOOL( hAPP_f1935102916l_bool(
% 0.84/1.23 finite595471783e_bool, Y ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1935102916l_bool( finite595471783e_bool, Y ) ), hBOOL(
% 0.84/1.23 hAPP_f1935102916l_bool( finite595471783e_bool, insert1325755072e_bool( X
% 0.84/1.23 , Y ) ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f621171935l_bool( finite347923420a_bool, insert_fun_a_bool
% 0.84/1.23 ( X, Y ) ) ), hBOOL( hAPP_f621171935l_bool( finite347923420a_bool, Y ) )
% 0.84/1.23 }.
% 0.84/1.23 { ! hBOOL( hAPP_f621171935l_bool( finite347923420a_bool, Y ) ), hBOOL(
% 0.84/1.23 hAPP_f621171935l_bool( finite347923420a_bool, insert_fun_a_bool( X, Y ) )
% 0.84/1.23 ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1637334154l_bool( hAPP_f1772781669l_bool(
% 0.84/1.23 ord_le1454342156l_bool, X ), Y ) ), ! hBOOL( hAPP_f1637334154l_bool(
% 0.84/1.23 finite2012431853t_bool, Y ) ), hBOOL( hAPP_f1637334154l_bool(
% 0.84/1.23 finite2012431853t_bool, X ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1935102916l_bool( hAPP_f510955609l_bool(
% 0.84/1.23 ord_le675606854l_bool, X ), Y ) ), ! hBOOL( hAPP_f1935102916l_bool(
% 0.84/1.23 finite595471783e_bool, Y ) ), hBOOL( hAPP_f1935102916l_bool(
% 0.84/1.23 finite595471783e_bool, X ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 0.84/1.23 ord_le1311769555a_bool, X ), Y ) ), ! hBOOL( hAPP_fun_a_bool_bool(
% 0.84/1.23 finite_finite_a, Y ) ), hBOOL( hAPP_fun_a_bool_bool( finite_finite_a, X )
% 0.84/1.23 ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f621171935l_bool( hAPP_f1434722111l_bool(
% 0.84/1.23 ord_le1375614389l_bool, X ), Y ) ), ! hBOOL( hAPP_f621171935l_bool(
% 0.84/1.23 finite347923420a_bool, Y ) ), hBOOL( hAPP_f621171935l_bool(
% 0.84/1.23 finite347923420a_bool, X ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f54304608l_bool( hAPP_f103356543l_bool(
% 0.84/1.23 ord_le1568362934t_bool, X ), Y ) ), ! hBOOL( hAPP_f54304608l_bool(
% 0.84/1.23 finite_finite_nat, Y ) ), hBOOL( hAPP_f54304608l_bool( finite_finite_nat
% 0.84/1.23 , X ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1664156314l_bool( hAPP_f434788991l_bool(
% 0.84/1.23 ord_le313189616e_bool, X ), Y ) ), ! hBOOL( hAPP_f1664156314l_bool(
% 0.84/1.23 finite_finite_pname, Y ) ), hBOOL( hAPP_f1664156314l_bool(
% 0.84/1.23 finite_finite_pname, X ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1637334154l_bool( finite2012431853t_bool, X ) ), ! hBOOL(
% 0.84/1.23 hAPP_f1637334154l_bool( hAPP_f1772781669l_bool( ord_le1454342156l_bool, Y
% 0.84/1.23 ), X ) ), hBOOL( hAPP_f1637334154l_bool( finite2012431853t_bool, Y ) ) }
% 0.84/1.23 .
% 0.84/1.23 { ! hBOOL( hAPP_f1935102916l_bool( finite595471783e_bool, X ) ), ! hBOOL(
% 0.84/1.23 hAPP_f1935102916l_bool( hAPP_f510955609l_bool( ord_le675606854l_bool, Y )
% 0.84/1.23 , X ) ), hBOOL( hAPP_f1935102916l_bool( finite595471783e_bool, Y ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_fun_a_bool_bool( finite_finite_a, X ) ), ! hBOOL(
% 0.84/1.23 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool, Y )
% 0.84/1.23 , X ) ), hBOOL( hAPP_fun_a_bool_bool( finite_finite_a, Y ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f621171935l_bool( finite347923420a_bool, X ) ), ! hBOOL(
% 0.84/1.23 hAPP_f621171935l_bool( hAPP_f1434722111l_bool( ord_le1375614389l_bool, Y
% 0.84/1.23 ), X ) ), hBOOL( hAPP_f621171935l_bool( finite347923420a_bool, Y ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f54304608l_bool( finite_finite_nat, X ) ), ! hBOOL(
% 0.84/1.23 hAPP_f54304608l_bool( hAPP_f103356543l_bool( ord_le1568362934t_bool, Y )
% 0.84/1.23 , X ) ), hBOOL( hAPP_f54304608l_bool( finite_finite_nat, Y ) ) }.
% 0.84/1.23 { ! hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, X ) ), ! hBOOL(
% 0.84/1.24 hAPP_f1664156314l_bool( hAPP_f434788991l_bool( ord_le313189616e_bool, Y )
% 0.84/1.24 , X ) ), hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, Y ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.24 hAPP_nat_nat( suc, X ) ), Y ) ), hBOOL( hAPP_nat_bool(
% 0.84/1.24 hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X ),
% 0.84/1.24 hAPP_nat_nat( suc, Y ) ) ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool
% 0.84/1.24 ( ord_less_eq_nat, X ), Y ) ), X = hAPP_nat_nat( suc, Y ) }.
% 0.84/1.24 { ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y )
% 0.84/1.24 ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X ),
% 0.84/1.24 hAPP_nat_nat( suc, Y ) ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.24 hAPP_nat_nat( suc, X ) ), hAPP_nat_nat( suc, Y ) ) ), hBOOL(
% 0.84/1.24 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y )
% 0.84/1.24 ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.24 hAPP_nat_nat( suc, X ) ), hAPP_nat_nat( suc, Y ) ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X ),
% 0.84/1.24 hAPP_nat_nat( suc, Y ) ) ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool
% 0.84/1.24 ( ord_less_eq_nat, X ), Y ) ), X = hAPP_nat_nat( suc, Y ) }.
% 0.84/1.24 { ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y )
% 0.84/1.24 ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X ),
% 0.84/1.24 hAPP_nat_nat( suc, Y ) ) ) }.
% 0.84/1.24 { ! X = hAPP_nat_nat( suc, Y ), hBOOL( hAPP_nat_bool(
% 0.84/1.24 hAPP_n1699378549t_bool( ord_less_eq_nat, X ), hAPP_nat_nat( suc, Y ) ) )
% 0.84/1.24 }.
% 0.84/1.24 { hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y ) )
% 0.84/1.24 , hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.24 hAPP_nat_nat( suc, Y ) ), X ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.24 hAPP_nat_nat( suc, Y ) ), X ) ), ! hBOOL( hAPP_nat_bool(
% 0.84/1.24 hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.24 hAPP_nat_nat( suc, X ) ), X ) ) }.
% 0.84/1.24 { hAPP_nat_nat( minus_minus_nat( hAPP_nat_nat( minus_minus_nat(
% 0.84/1.24 hAPP_nat_nat( suc, X ) ), Y ) ), hAPP_nat_nat( suc, Z ) ) = hAPP_nat_nat
% 0.84/1.24 ( minus_minus_nat( hAPP_nat_nat( minus_minus_nat( X ), Y ) ), Z ) }.
% 0.84/1.24 { hAPP_nat_nat( minus_minus_nat( hAPP_nat_nat( suc, X ) ), hAPP_nat_nat(
% 0.84/1.24 suc, Y ) ) = hAPP_nat_nat( minus_minus_nat( X ), Y ) }.
% 0.84/1.24 { ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y )
% 0.84/1.24 ), ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X )
% 0.84/1.24 , Z ) ), ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat
% 0.84/1.24 , hAPP_nat_nat( minus_minus_nat( Y ), X ) ), hAPP_nat_nat(
% 0.84/1.24 minus_minus_nat( Z ), X ) ) ), hBOOL( hAPP_nat_bool(
% 0.84/1.24 hAPP_n1699378549t_bool( ord_less_eq_nat, Y ), Z ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y )
% 0.84/1.24 ), ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X )
% 0.84/1.24 , Z ) ), ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat
% 0.84/1.24 , Y ), Z ) ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool(
% 0.84/1.24 ord_less_eq_nat, hAPP_nat_nat( minus_minus_nat( Y ), X ) ), hAPP_nat_nat
% 0.84/1.24 ( minus_minus_nat( Z ), X ) ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y )
% 0.84/1.24 ), ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X )
% 0.84/1.24 , Z ) ), hAPP_nat_nat( minus_minus_nat( hAPP_nat_nat( minus_minus_nat( Y
% 0.84/1.24 ), X ) ), hAPP_nat_nat( minus_minus_nat( Z ), X ) ) = hAPP_nat_nat(
% 0.84/1.24 minus_minus_nat( Y ), Z ) }.
% 0.84/1.24 { ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y )
% 0.84/1.24 ), ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X )
% 0.84/1.24 , Z ) ), ! hAPP_nat_nat( minus_minus_nat( Y ), X ) = hAPP_nat_nat(
% 0.84/1.24 minus_minus_nat( Z ), X ), Y = Z }.
% 0.84/1.24 { ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y )
% 0.84/1.24 ), ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X )
% 0.84/1.24 , Z ) ), ! Y = Z, hAPP_nat_nat( minus_minus_nat( Y ), X ) = hAPP_nat_nat
% 0.84/1.24 ( minus_minus_nat( Z ), X ) }.
% 0.84/1.24 { ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y )
% 0.84/1.24 ), hAPP_nat_nat( minus_minus_nat( Y ), hAPP_nat_nat( minus_minus_nat( Y
% 0.84/1.24 ), X ) ) = X }.
% 0.84/1.24 { ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y )
% 0.84/1.24 ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.24 hAPP_nat_nat( minus_minus_nat( X ), Z ) ), hAPP_nat_nat( minus_minus_nat
% 0.84/1.24 ( Y ), Z ) ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y )
% 0.84/1.24 ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.24 hAPP_nat_nat( minus_minus_nat( Z ), Y ) ), hAPP_nat_nat( minus_minus_nat
% 0.84/1.24 ( Z ), X ) ) ) }.
% 0.84/1.24 { hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.24 hAPP_nat_nat( minus_minus_nat( X ), Y ) ), X ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, X ) ), ! hBOOL(
% 0.84/1.24 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool, Y )
% 0.84/1.24 , image_pname_a( Z, X ) ) ), hBOOL( hAPP_fun_a_bool_bool( finite_finite_a
% 0.84/1.24 , Y ) ) }.
% 0.84/1.24 { ! is_fun_a_bool( X ), ! hBOOL( hAPP_fun_a_bool_bool( finite_finite_a, X )
% 0.84/1.24 ), ! hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 0.84/1.24 ord_le1311769555a_bool, X ), image_pname_a( Y, Z ) ) ), alpha3( Z, skol1
% 0.84/1.24 ( T, U, Z ) ) }.
% 0.84/1.24 { ! is_fun_a_bool( X ), ! hBOOL( hAPP_fun_a_bool_bool( finite_finite_a, X )
% 0.84/1.24 ), ! hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 0.84/1.24 ord_le1311769555a_bool, X ), image_pname_a( Y, Z ) ) ), X = image_pname_a
% 0.84/1.24 ( Y, skol1( X, Y, Z ) ) }.
% 0.84/1.24 { ! alpha3( X, Y ), is_fun_pname_bool( Y ) }.
% 0.84/1.24 { ! alpha3( X, Y ), hBOOL( hAPP_f1664156314l_bool( hAPP_f434788991l_bool(
% 0.84/1.24 ord_le313189616e_bool, Y ), X ) ) }.
% 0.84/1.24 { ! alpha3( X, Y ), hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, Y )
% 0.84/1.24 ) }.
% 0.84/1.24 { ! is_fun_pname_bool( Y ), ! hBOOL( hAPP_f1664156314l_bool(
% 0.84/1.24 hAPP_f434788991l_bool( ord_le313189616e_bool, Y ), X ) ), ! hBOOL(
% 0.84/1.24 hAPP_f1664156314l_bool( finite_finite_pname, Y ) ), alpha3( X, Y ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f54304608l_bool( hAPP_f103356543l_bool(
% 0.84/1.24 ord_le1568362934t_bool, hAPP_n1699378549t_bool( X, skol2( X ) ) ),
% 0.84/1.24 hAPP_n1699378549t_bool( X, hAPP_nat_nat( suc, skol2( X ) ) ) ) ), ! hBOOL
% 0.84/1.24 ( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, Y ), Z ) ),
% 0.84/1.24 hBOOL( hAPP_f54304608l_bool( hAPP_f103356543l_bool(
% 0.84/1.24 ord_le1568362934t_bool, hAPP_n1699378549t_bool( X, Y ) ),
% 0.84/1.24 hAPP_n1699378549t_bool( X, Z ) ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f1664156314l_bool( hAPP_f434788991l_bool(
% 0.84/1.24 ord_le313189616e_bool, hAPP_n1025906991e_bool( X, skol3( X ) ) ),
% 0.84/1.24 hAPP_n1025906991e_bool( X, hAPP_nat_nat( suc, skol3( X ) ) ) ) ), ! hBOOL
% 0.84/1.24 ( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, Y ), Z ) ),
% 0.84/1.24 hBOOL( hAPP_f1664156314l_bool( hAPP_f434788991l_bool(
% 0.84/1.24 ord_le313189616e_bool, hAPP_n1025906991e_bool( X, Y ) ),
% 0.84/1.24 hAPP_n1025906991e_bool( X, Z ) ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.24 hAPP_nat_nat( X, skol4( X ) ) ), hAPP_nat_nat( X, hAPP_nat_nat( suc,
% 0.84/1.24 skol4( X ) ) ) ) ), ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool(
% 0.84/1.24 ord_less_eq_nat, Y ), Z ) ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool
% 0.84/1.24 ( ord_less_eq_nat, hAPP_nat_nat( X, Y ) ), hAPP_nat_nat( X, Z ) ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 0.84/1.24 ord_le1311769555a_bool, hAPP_nat_fun_a_bool( X, skol5( X ) ) ),
% 0.84/1.24 hAPP_nat_fun_a_bool( X, hAPP_nat_nat( suc, skol5( X ) ) ) ) ), ! hBOOL(
% 0.84/1.24 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, Y ), Z ) ), hBOOL
% 0.84/1.24 ( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool,
% 0.84/1.24 hAPP_nat_fun_a_bool( X, Y ) ), hAPP_nat_fun_a_bool( X, Z ) ) ) }.
% 0.84/1.24 { hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, X ) ), ! hBOOL(
% 0.84/1.24 hAPP_fun_a_bool_bool( finite_finite_a, image_pname_a( Y, X ) ) ),
% 0.84/1.24 is_pname( skol6( Z, T ) ) }.
% 0.84/1.24 { hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, X ) ), ! hBOOL(
% 0.84/1.24 hAPP_fun_a_bool_bool( finite_finite_a, image_pname_a( Y, X ) ) ), hBOOL(
% 0.84/1.24 hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, skol6( X, Z
% 0.84/1.24 ) ), X ) ) }.
% 0.84/1.24 { hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, X ) ), ! hBOOL(
% 0.84/1.24 hAPP_fun_a_bool_bool( finite_finite_a, image_pname_a( Y, X ) ) ), ! hBOOL
% 0.84/1.24 ( hAPP_f1664156314l_bool( finite_finite_pname, collect_pname(
% 0.84/1.24 cOMBS_568398431l_bool( cOMBB_675860798_pname( fconj,
% 0.84/1.24 hAPP_f759274231e_bool( cOMBC_1058051404l_bool( member_pname ), X ) ),
% 0.84/1.24 hAPP_a93125764e_bool( cOMBC_pname_a_bool( cOMBB_1897541054_pname(
% 0.84/1.24 fequal_a, Y ) ), hAPP_pname_a( Y, skol6( X, Y ) ) ) ) ) ) ) }.
% 0.84/1.24 { ! X = hAPP_pname_a( Y, Z ), ! hBOOL( hAPP_f1664156314l_bool(
% 0.84/1.24 hAPP_p338031245l_bool( member_pname, Z ), T ) ), hBOOL(
% 0.84/1.24 hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, X ), image_pname_a
% 0.84/1.24 ( Y, T ) ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f54304608l_bool( hAPP_f103356543l_bool(
% 0.84/1.24 ord_le1568362934t_bool, X ), Y ) ), ! hBOOL( hAPP_f54304608l_bool(
% 0.84/1.24 hAPP_f103356543l_bool( ord_le1568362934t_bool, Y ), X ) ), X = Y }.
% 0.84/1.24 { ! is_fun_pname_bool( X ), ! is_fun_pname_bool( Y ), ! hBOOL(
% 0.84/1.24 hAPP_f1664156314l_bool( hAPP_f434788991l_bool( ord_le313189616e_bool, X )
% 0.84/1.24 , Y ) ), ! hBOOL( hAPP_f1664156314l_bool( hAPP_f434788991l_bool(
% 0.84/1.24 ord_le313189616e_bool, Y ), X ) ), X = Y }.
% 0.84/1.24 { ! is_fun_a_bool( X ), ! is_fun_a_bool( Y ), ! hBOOL( hAPP_fun_a_bool_bool
% 0.84/1.24 ( hAPP_f1631501043l_bool( ord_le1311769555a_bool, X ), Y ) ), ! hBOOL(
% 0.84/1.24 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool, Y )
% 0.84/1.24 , X ) ), X = Y }.
% 0.84/1.24 { ! hBOOL( hAPP_f54304608l_bool( hAPP_f103356543l_bool(
% 0.84/1.24 ord_le1568362934t_bool, X ), Y ) ), ! hBOOL( hAPP_f54304608l_bool(
% 0.84/1.24 hAPP_n215258509l_bool( member_nat, Z ), X ) ), hBOOL(
% 0.84/1.24 hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, Z ), Y ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 0.84/1.24 ord_le1311769555a_bool, X ), Y ) ), ! hBOOL( hAPP_fun_a_bool_bool(
% 0.84/1.24 hAPP_a85458249l_bool( member_a, Z ), X ) ), hBOOL( hAPP_fun_a_bool_bool(
% 0.84/1.24 hAPP_a85458249l_bool( member_a, Z ), Y ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f1664156314l_bool( hAPP_f434788991l_bool(
% 0.84/1.24 ord_le313189616e_bool, X ), Y ) ), ! hBOOL( hAPP_f1664156314l_bool(
% 0.84/1.24 hAPP_p338031245l_bool( member_pname, Z ), X ) ), hBOOL(
% 0.84/1.24 hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, Z ), Y ) ) }
% 0.84/1.24 .
% 0.84/1.24 { ! hBOOL( hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, Y ), Z
% 0.84/1.24 ) ), hBOOL( hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, Y )
% 0.84/1.24 , insert_nat( X, Z ) ) ) }.
% 0.84/1.24 { ! Y = X, hBOOL( hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat,
% 0.84/1.24 Y ), insert_nat( X, Z ) ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, Y )
% 0.84/1.24 , Z ) ), hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool(
% 0.84/1.24 member_pname, Y ), insert_pname( X, Z ) ) ) }.
% 0.84/1.24 { ! Y = X, hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool(
% 0.84/1.24 member_pname, Y ), insert_pname( X, Z ) ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, Y ), Z ) )
% 0.84/1.24 , hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, Y ),
% 0.84/1.24 insert_a( X, Z ) ) ) }.
% 0.84/1.24 { ! Y = X, hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, Y )
% 0.84/1.24 , insert_a( X, Z ) ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, X ),
% 0.84/1.24 insert_nat( Y, Z ) ) ), X = Y, hBOOL( hAPP_f54304608l_bool(
% 0.84/1.24 hAPP_n215258509l_bool( member_nat, X ), Z ) ) }.
% 0.84/1.24 { ! is_pname( X ), ! is_pname( Y ), ! hBOOL( hAPP_f1664156314l_bool(
% 0.84/1.24 hAPP_p338031245l_bool( member_pname, X ), insert_pname( Y, Z ) ) ), X = Y
% 0.84/1.24 , hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, X )
% 0.84/1.24 , Z ) ) }.
% 0.84/1.24 { ! is_a( X ), ! is_a( Y ), ! hBOOL( hAPP_fun_a_bool_bool(
% 0.84/1.24 hAPP_a85458249l_bool( member_a, X ), insert_a( Y, Z ) ) ), X = Y, hBOOL(
% 0.84/1.24 hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, X ), Z ) ) }.
% 0.84/1.24 { hBOOL( hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, X ),
% 0.84/1.24 insert_nat( X, Y ) ) ) }.
% 0.84/1.24 { hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, X ),
% 0.84/1.24 insert_pname( X, Y ) ) ) }.
% 0.84/1.24 { hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, X ),
% 0.84/1.24 insert_a( X, Y ) ) ) }.
% 0.84/1.24 { insert_nat( X, Y ) = collect_nat( cOMBS_nat_bool_bool(
% 0.84/1.24 cOMBB_1015721476ol_nat( fdisj, hAPP_n1699378549t_bool( cOMBC_nat_nat_bool
% 0.84/1.24 ( fequal_nat ), X ) ), hAPP_f800510211t_bool( cOMBC_226598744l_bool(
% 0.84/1.24 member_nat ), Y ) ) ) }.
% 0.84/1.24 { insert_pname( X, Y ) = collect_pname( cOMBS_568398431l_bool(
% 0.84/1.24 cOMBB_675860798_pname( fdisj, hAPP_p61793385e_bool(
% 0.84/1.24 cOMBC_1149511130e_bool( fequal_pname ), X ) ), hAPP_f759274231e_bool(
% 0.84/1.24 cOMBC_1058051404l_bool( member_pname ), Y ) ) ) }.
% 0.84/1.24 { insert_a( X, Y ) = collect_a( cOMBS_a_bool_bool( cOMBB_1972296269bool_a(
% 0.84/1.24 fdisj, hAPP_a_fun_a_bool( cOMBC_a_a_bool( fequal_a ), X ) ),
% 0.84/1.24 hAPP_f2050579477a_bool( cOMBC_1355376034l_bool( member_a ), Y ) ) ) }.
% 0.84/1.24 { insert_fun_nat_bool( X, Y ) = collect_fun_nat_bool(
% 0.84/1.24 cOMBS_1187019125l_bool( cOMBB_444170502t_bool( fdisj,
% 0.84/1.24 hAPP_f103356543l_bool( cOMBC_1693257480l_bool( fequal_fun_nat_bool ), X )
% 0.84/1.24 ), hAPP_f1246832597l_bool( cOMBC_1245412066l_bool( member_fun_nat_bool )
% 0.84/1.24 , Y ) ) ) }.
% 0.84/1.24 { insert1325755072e_bool( X, Y ) = collec1974731493e_bool(
% 0.84/1.24 cOMBS_350070575l_bool( cOMBB_2095475776e_bool( fdisj,
% 0.84/1.24 hAPP_f434788991l_bool( cOMBC_1284144636l_bool( fequal533582459e_bool ), X
% 0.84/1.24 ) ), hAPP_f559147733l_bool( cOMBC_1988546018l_bool(
% 0.84/1.24 member799430823e_bool ), Y ) ) ) }.
% 0.84/1.24 { insert_fun_a_bool( X, Y ) = collect_fun_a_bool( cOMBS_1035972772l_bool(
% 0.84/1.24 cOMBB_338059395a_bool( fdisj, hAPP_f1631501043l_bool(
% 0.84/1.24 cOMBC_1732670874l_bool( fequal_fun_a_bool ), X ) ),
% 0.84/1.24 hAPP_f2117159681l_bool( cOMBC_1880041174l_bool( member_fun_a_bool ), Y )
% 0.84/1.24 ) ) }.
% 0.84/1.24 { insert_nat( X, collect_nat( Y ) ) = collect_nat( cOMBS_nat_bool_bool(
% 0.84/1.24 cOMBB_1015721476ol_nat( fimplies, cOMBB_bool_bool_nat( fNot,
% 0.84/1.24 hAPP_n1699378549t_bool( cOMBC_nat_nat_bool( fequal_nat ), X ) ) ), Y ) )
% 0.84/1.24 }.
% 0.84/1.24 { insert_pname( X, collect_pname( Y ) ) = collect_pname(
% 0.84/1.24 cOMBS_568398431l_bool( cOMBB_675860798_pname( fimplies,
% 0.84/1.24 cOMBB_647938656_pname( fNot, hAPP_p61793385e_bool( cOMBC_1149511130e_bool
% 0.84/1.24 ( fequal_pname ), X ) ) ), Y ) ) }.
% 0.84/1.24 { insert_a( X, collect_a( Y ) ) = collect_a( cOMBS_a_bool_bool(
% 0.84/1.24 cOMBB_1972296269bool_a( fimplies, cOMBB_bool_bool_a( fNot,
% 0.84/1.24 hAPP_a_fun_a_bool( cOMBC_a_a_bool( fequal_a ), X ) ) ), Y ) ) }.
% 0.84/1.24 { insert_fun_nat_bool( X, collect_fun_nat_bool( Y ) ) =
% 0.84/1.24 collect_fun_nat_bool( cOMBS_1187019125l_bool( cOMBB_444170502t_bool(
% 0.84/1.24 fimplies, cOMBB_238756964t_bool( fNot, hAPP_f103356543l_bool(
% 0.84/1.24 cOMBC_1693257480l_bool( fequal_fun_nat_bool ), X ) ) ), Y ) ) }.
% 0.84/1.24 { insert1325755072e_bool( X, collec1974731493e_bool( Y ) ) =
% 0.84/1.24 collec1974731493e_bool( cOMBS_350070575l_bool( cOMBB_2095475776e_bool(
% 0.84/1.24 fimplies, cOMBB_307249310e_bool( fNot, hAPP_f434788991l_bool(
% 0.84/1.24 cOMBC_1284144636l_bool( fequal533582459e_bool ), X ) ) ), Y ) ) }.
% 0.84/1.24 { insert_fun_a_bool( X, collect_fun_a_bool( Y ) ) = collect_fun_a_bool(
% 0.84/1.24 cOMBS_1035972772l_bool( cOMBB_338059395a_bool( fimplies,
% 0.84/1.24 cOMBB_2140588453a_bool( fNot, hAPP_f1631501043l_bool(
% 0.84/1.24 cOMBC_1732670874l_bool( fequal_fun_a_bool ), X ) ) ), Y ) ) }.
% 0.84/1.24 { insert_nat( X, insert_nat( X, Y ) ) = insert_nat( X, Y ) }.
% 0.84/1.24 { insert_pname( X, insert_pname( X, Y ) ) = insert_pname( X, Y ) }.
% 0.84/1.24 { insert_a( X, insert_a( X, Y ) ) = insert_a( X, Y ) }.
% 0.84/1.24 { insert_nat( X, insert_nat( Y, Z ) ) = insert_nat( Y, insert_nat( X, Z ) )
% 0.84/1.24 }.
% 0.84/1.24 { insert_pname( X, insert_pname( Y, Z ) ) = insert_pname( Y, insert_pname(
% 0.84/1.24 X, Z ) ) }.
% 0.84/1.24 { insert_a( X, insert_a( Y, Z ) ) = insert_a( Y, insert_a( X, Z ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, X ),
% 0.84/1.24 insert_nat( Y, Z ) ) ), X = Y, hBOOL( hAPP_f54304608l_bool(
% 0.84/1.24 hAPP_n215258509l_bool( member_nat, X ), Z ) ) }.
% 0.84/1.24 { ! X = Y, hBOOL( hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat,
% 0.84/1.24 X ), insert_nat( Y, Z ) ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, X ), Z
% 0.84/1.24 ) ), hBOOL( hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, X )
% 0.84/1.24 , insert_nat( Y, Z ) ) ) }.
% 0.84/1.24 { ! is_pname( X ), ! is_pname( Y ), ! hBOOL( hAPP_f1664156314l_bool(
% 0.84/1.24 hAPP_p338031245l_bool( member_pname, X ), insert_pname( Y, Z ) ) ), X = Y
% 0.84/1.24 , hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, X )
% 0.84/1.24 , Z ) ) }.
% 0.84/1.24 { ! is_pname( X ), ! is_pname( Y ), ! X = Y, hBOOL( hAPP_f1664156314l_bool
% 0.84/1.24 ( hAPP_p338031245l_bool( member_pname, X ), insert_pname( Y, Z ) ) ) }.
% 0.84/1.24 { ! is_pname( X ), ! is_pname( Y ), ! hBOOL( hAPP_f1664156314l_bool(
% 0.84/1.24 hAPP_p338031245l_bool( member_pname, X ), Z ) ), hBOOL(
% 0.84/1.24 hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, X ),
% 0.84/1.24 insert_pname( Y, Z ) ) ) }.
% 0.84/1.24 { ! is_a( X ), ! is_a( Y ), ! hBOOL( hAPP_fun_a_bool_bool(
% 0.84/1.24 hAPP_a85458249l_bool( member_a, X ), insert_a( Y, Z ) ) ), X = Y, hBOOL(
% 0.84/1.24 hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, X ), Z ) ) }.
% 0.84/1.24 { ! is_a( X ), ! is_a( Y ), ! X = Y, hBOOL( hAPP_fun_a_bool_bool(
% 0.84/1.24 hAPP_a85458249l_bool( member_a, X ), insert_a( Y, Z ) ) ) }.
% 0.84/1.24 { ! is_a( X ), ! is_a( Y ), ! hBOOL( hAPP_fun_a_bool_bool(
% 0.84/1.24 hAPP_a85458249l_bool( member_a, X ), Z ) ), hBOOL( hAPP_fun_a_bool_bool(
% 0.84/1.24 hAPP_a85458249l_bool( member_a, X ), insert_a( Y, Z ) ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_nat_bool( insert_nat( X, Y ), Z ) ), X = Z, hBOOL(
% 0.84/1.24 hAPP_nat_bool( Y, Z ) ) }.
% 0.84/1.24 { ! X = Z, hBOOL( hAPP_nat_bool( insert_nat( X, Y ), Z ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_nat_bool( Y, Z ) ), hBOOL( hAPP_nat_bool( insert_nat( X, Y
% 0.84/1.24 ), Z ) ) }.
% 0.84/1.24 { ! is_pname( X ), ! is_pname( Y ), ! hBOOL( hAPP_pname_bool( insert_pname
% 0.84/1.24 ( X, Z ), Y ) ), X = Y, hBOOL( hAPP_pname_bool( Z, Y ) ) }.
% 0.84/1.24 { ! is_pname( X ), ! is_pname( Y ), ! X = Y, hBOOL( hAPP_pname_bool(
% 0.84/1.24 insert_pname( X, Z ), Y ) ) }.
% 0.84/1.24 { ! is_pname( X ), ! is_pname( Y ), ! hBOOL( hAPP_pname_bool( Z, Y ) ),
% 0.84/1.24 hBOOL( hAPP_pname_bool( insert_pname( X, Z ), Y ) ) }.
% 0.84/1.24 { ! is_a( X ), ! is_a( Y ), ! hBOOL( hAPP_a_bool( insert_a( X, Z ), Y ) ),
% 0.84/1.24 X = Y, hBOOL( hAPP_a_bool( Z, Y ) ) }.
% 0.84/1.24 { ! is_a( X ), ! is_a( Y ), ! X = Y, hBOOL( hAPP_a_bool( insert_a( X, Z ),
% 0.84/1.24 Y ) ) }.
% 0.84/1.24 { ! is_a( X ), ! is_a( Y ), ! hBOOL( hAPP_a_bool( Z, Y ) ), hBOOL(
% 0.84/1.24 hAPP_a_bool( insert_a( X, Z ), Y ) ) }.
% 0.84/1.24 { hBOOL( hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, X ), Y )
% 0.84/1.24 ), hBOOL( hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, X ),
% 0.84/1.24 Z ) ), ! insert_nat( X, Y ) = insert_nat( X, Z ), Y = Z }.
% 0.84/1.24 { hBOOL( hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, X ), Y )
% 0.84/1.24 ), hBOOL( hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, X ),
% 0.84/1.24 Z ) ), ! Y = Z, insert_nat( X, Y ) = insert_nat( X, Z ) }.
% 0.84/1.24 { ! is_fun_pname_bool( X ), ! is_fun_pname_bool( Y ), hBOOL(
% 0.84/1.24 hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, Z ), Y ) ),
% 0.84/1.24 hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, Z ),
% 0.84/1.24 X ) ), ! insert_pname( Z, Y ) = insert_pname( Z, X ), Y = X }.
% 0.84/1.24 { ! is_fun_pname_bool( X ), ! is_fun_pname_bool( Y ), hBOOL(
% 0.84/1.24 hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, Z ), Y ) ),
% 0.84/1.24 hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, Z ),
% 0.84/1.24 X ) ), ! Y = X, insert_pname( Z, Y ) = insert_pname( Z, X ) }.
% 0.84/1.24 { ! is_fun_a_bool( X ), ! is_fun_a_bool( Y ), hBOOL( hAPP_fun_a_bool_bool(
% 0.84/1.24 hAPP_a85458249l_bool( member_a, Z ), Y ) ), hBOOL( hAPP_fun_a_bool_bool(
% 0.84/1.24 hAPP_a85458249l_bool( member_a, Z ), X ) ), ! insert_a( Z, Y ) = insert_a
% 0.84/1.24 ( Z, X ), Y = X }.
% 0.84/1.24 { ! is_fun_a_bool( X ), ! is_fun_a_bool( Y ), hBOOL( hAPP_fun_a_bool_bool(
% 0.84/1.24 hAPP_a85458249l_bool( member_a, Z ), Y ) ), hBOOL( hAPP_fun_a_bool_bool(
% 0.84/1.24 hAPP_a85458249l_bool( member_a, Z ), X ) ), ! Y = X, insert_a( Z, Y ) =
% 0.84/1.24 insert_a( Z, X ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, X ), Y
% 0.84/1.24 ) ), hBOOL( hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, X )
% 0.84/1.24 , insert_nat( Z, Y ) ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, X )
% 0.84/1.24 , Y ) ), hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool(
% 0.84/1.24 member_pname, X ), insert_pname( Z, Y ) ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, X ), Y ) )
% 0.84/1.24 , hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, X ),
% 0.84/1.24 insert_a( Z, Y ) ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, X ), Y
% 0.84/1.24 ) ), insert_nat( X, Y ) = Y }.
% 0.84/1.24 { ! is_fun_pname_bool( X ), ! hBOOL( hAPP_f1664156314l_bool(
% 0.84/1.24 hAPP_p338031245l_bool( member_pname, Y ), X ) ), insert_pname( Y, X ) = X
% 0.84/1.24 }.
% 0.84/1.24 { ! is_fun_a_bool( X ), ! hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool
% 0.84/1.24 ( member_a, Y ), X ) ), insert_a( Y, X ) = X }.
% 0.84/1.24 { hBOOL( hAPP_f54304608l_bool( hAPP_f103356543l_bool(
% 0.84/1.24 ord_le1568362934t_bool, X ), X ) ) }.
% 0.84/1.24 { hBOOL( hAPP_f1664156314l_bool( hAPP_f434788991l_bool(
% 0.84/1.24 ord_le313189616e_bool, X ), X ) ) }.
% 0.84/1.24 { hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 0.84/1.24 ord_le1311769555a_bool, X ), X ) ) }.
% 0.84/1.24 { ! X = Y, hBOOL( hAPP_f54304608l_bool( hAPP_f103356543l_bool(
% 0.84/1.24 ord_le1568362934t_bool, X ), Y ) ) }.
% 0.84/1.24 { ! X = Y, hBOOL( hAPP_f54304608l_bool( hAPP_f103356543l_bool(
% 0.84/1.24 ord_le1568362934t_bool, Y ), X ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f54304608l_bool( hAPP_f103356543l_bool(
% 0.84/1.24 ord_le1568362934t_bool, X ), Y ) ), ! hBOOL( hAPP_f54304608l_bool(
% 0.84/1.24 hAPP_f103356543l_bool( ord_le1568362934t_bool, Y ), X ) ), X = Y }.
% 0.84/1.24 { ! is_fun_pname_bool( X ), ! is_fun_pname_bool( Y ), ! X = Y, hBOOL(
% 0.84/1.24 hAPP_f1664156314l_bool( hAPP_f434788991l_bool( ord_le313189616e_bool, X )
% 0.84/1.24 , Y ) ) }.
% 0.84/1.24 { ! is_fun_pname_bool( X ), ! is_fun_pname_bool( Y ), ! X = Y, hBOOL(
% 0.84/1.24 hAPP_f1664156314l_bool( hAPP_f434788991l_bool( ord_le313189616e_bool, Y )
% 0.84/1.24 , X ) ) }.
% 0.84/1.24 { ! is_fun_pname_bool( X ), ! is_fun_pname_bool( Y ), ! hBOOL(
% 0.84/1.24 hAPP_f1664156314l_bool( hAPP_f434788991l_bool( ord_le313189616e_bool, X )
% 0.84/1.24 , Y ) ), ! hBOOL( hAPP_f1664156314l_bool( hAPP_f434788991l_bool(
% 0.84/1.24 ord_le313189616e_bool, Y ), X ) ), X = Y }.
% 0.84/1.24 { ! is_fun_a_bool( X ), ! is_fun_a_bool( Y ), ! X = Y, hBOOL(
% 0.84/1.24 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool, X )
% 0.84/1.24 , Y ) ) }.
% 0.84/1.24 { ! is_fun_a_bool( X ), ! is_fun_a_bool( Y ), ! X = Y, hBOOL(
% 0.84/1.24 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool, Y )
% 0.84/1.24 , X ) ) }.
% 0.84/1.24 { ! is_fun_a_bool( X ), ! is_fun_a_bool( Y ), ! hBOOL( hAPP_fun_a_bool_bool
% 0.84/1.24 ( hAPP_f1631501043l_bool( ord_le1311769555a_bool, X ), Y ) ), ! hBOOL(
% 0.84/1.24 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool, Y )
% 0.84/1.24 , X ) ), X = Y }.
% 0.84/1.24 { ! X = Y, hBOOL( hAPP_f54304608l_bool( hAPP_f103356543l_bool(
% 0.84/1.24 ord_le1568362934t_bool, X ), Y ) ) }.
% 0.84/1.24 { ! X = Y, hBOOL( hAPP_f1664156314l_bool( hAPP_f434788991l_bool(
% 0.84/1.24 ord_le313189616e_bool, X ), Y ) ) }.
% 0.84/1.24 { ! X = Y, hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 0.84/1.24 ord_le1311769555a_bool, X ), Y ) ) }.
% 0.84/1.24 { ! X = Y, hBOOL( hAPP_f54304608l_bool( hAPP_f103356543l_bool(
% 0.84/1.24 ord_le1568362934t_bool, Y ), X ) ) }.
% 0.84/1.24 { ! X = Y, hBOOL( hAPP_f1664156314l_bool( hAPP_f434788991l_bool(
% 0.84/1.24 ord_le313189616e_bool, Y ), X ) ) }.
% 0.84/1.24 { ! X = Y, hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 0.84/1.24 ord_le1311769555a_bool, Y ), X ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f54304608l_bool( hAPP_f103356543l_bool(
% 0.84/1.24 ord_le1568362934t_bool, X ), Y ) ), ! hBOOL( hAPP_f54304608l_bool(
% 0.84/1.24 hAPP_n215258509l_bool( member_nat, Z ), X ) ), hBOOL(
% 0.84/1.24 hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, Z ), Y ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 0.84/1.24 ord_le1311769555a_bool, X ), Y ) ), ! hBOOL( hAPP_fun_a_bool_bool(
% 0.84/1.24 hAPP_a85458249l_bool( member_a, Z ), X ) ), hBOOL( hAPP_fun_a_bool_bool(
% 0.84/1.24 hAPP_a85458249l_bool( member_a, Z ), Y ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f1664156314l_bool( hAPP_f434788991l_bool(
% 0.84/1.24 ord_le313189616e_bool, X ), Y ) ), ! hBOOL( hAPP_f1664156314l_bool(
% 0.84/1.24 hAPP_p338031245l_bool( member_pname, Z ), X ) ), hBOOL(
% 0.84/1.24 hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, Z ), Y ) ) }
% 0.84/1.24 .
% 0.84/1.24 { ! hBOOL( hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, X ), Y
% 0.84/1.24 ) ), ! hBOOL( hAPP_f54304608l_bool( hAPP_f103356543l_bool(
% 0.84/1.24 ord_le1568362934t_bool, Y ), Z ) ), hBOOL( hAPP_f54304608l_bool(
% 0.84/1.24 hAPP_n215258509l_bool( member_nat, X ), Z ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, X ), Y ) )
% 0.84/1.24 , ! hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 0.84/1.24 ord_le1311769555a_bool, Y ), Z ) ), hBOOL( hAPP_fun_a_bool_bool(
% 0.84/1.24 hAPP_a85458249l_bool( member_a, X ), Z ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, X )
% 0.84/1.24 , Y ) ), ! hBOOL( hAPP_f1664156314l_bool( hAPP_f434788991l_bool(
% 0.84/1.24 ord_le313189616e_bool, Y ), Z ) ), hBOOL( hAPP_f1664156314l_bool(
% 0.84/1.24 hAPP_p338031245l_bool( member_pname, X ), Z ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f54304608l_bool( hAPP_f103356543l_bool(
% 0.84/1.24 ord_le1568362934t_bool, X ), Y ) ), ! hBOOL( hAPP_f54304608l_bool(
% 0.84/1.24 hAPP_n215258509l_bool( member_nat, Z ), X ) ), hBOOL(
% 0.84/1.24 hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, Z ), Y ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 0.84/1.24 ord_le1311769555a_bool, X ), Y ) ), ! hBOOL( hAPP_fun_a_bool_bool(
% 0.84/1.24 hAPP_a85458249l_bool( member_a, Z ), X ) ), hBOOL( hAPP_fun_a_bool_bool(
% 0.84/1.24 hAPP_a85458249l_bool( member_a, Z ), Y ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f1664156314l_bool( hAPP_f434788991l_bool(
% 0.84/1.24 ord_le313189616e_bool, X ), Y ) ), ! hBOOL( hAPP_f1664156314l_bool(
% 0.84/1.24 hAPP_p338031245l_bool( member_pname, Z ), X ) ), hBOOL(
% 0.84/1.24 hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, Z ), Y ) ) }
% 0.84/1.24 .
% 0.84/1.24 { ! hBOOL( hAPP_f54304608l_bool( hAPP_f103356543l_bool(
% 0.84/1.24 ord_le1568362934t_bool, X ), Y ) ), ! hBOOL( hAPP_f54304608l_bool(
% 0.84/1.24 hAPP_f103356543l_bool( ord_le1568362934t_bool, Y ), Z ) ), hBOOL(
% 0.84/1.24 hAPP_f54304608l_bool( hAPP_f103356543l_bool( ord_le1568362934t_bool, X )
% 0.84/1.24 , Z ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f1664156314l_bool( hAPP_f434788991l_bool(
% 0.84/1.24 ord_le313189616e_bool, X ), Y ) ), ! hBOOL( hAPP_f1664156314l_bool(
% 0.84/1.24 hAPP_f434788991l_bool( ord_le313189616e_bool, Y ), Z ) ), hBOOL(
% 0.84/1.24 hAPP_f1664156314l_bool( hAPP_f434788991l_bool( ord_le313189616e_bool, X )
% 0.84/1.24 , Z ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 0.84/1.24 ord_le1311769555a_bool, X ), Y ) ), ! hBOOL( hAPP_fun_a_bool_bool(
% 0.84/1.24 hAPP_f1631501043l_bool( ord_le1311769555a_bool, Y ), Z ) ), hBOOL(
% 0.84/1.24 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool, X )
% 0.84/1.24 , Z ) ) }.
% 0.84/1.24 { ! X = Y, hBOOL( hAPP_f54304608l_bool( hAPP_f103356543l_bool(
% 0.84/1.24 ord_le1568362934t_bool, X ), Y ) ) }.
% 0.84/1.24 { ! X = Y, hBOOL( hAPP_f54304608l_bool( hAPP_f103356543l_bool(
% 0.84/1.24 ord_le1568362934t_bool, Y ), X ) ) }.
% 0.84/1.24 { ! X = Y, hBOOL( hAPP_f1664156314l_bool( hAPP_f434788991l_bool(
% 0.84/1.24 ord_le313189616e_bool, X ), Y ) ) }.
% 0.84/1.24 { ! X = Y, hBOOL( hAPP_f1664156314l_bool( hAPP_f434788991l_bool(
% 0.84/1.24 ord_le313189616e_bool, Y ), X ) ) }.
% 0.84/1.24 { ! X = Y, hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 0.84/1.24 ord_le1311769555a_bool, X ), Y ) ) }.
% 0.84/1.24 { ! X = Y, hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 0.84/1.24 ord_le1311769555a_bool, Y ), X ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, X ), Y
% 0.84/1.24 ) ), hBOOL( hAPP_nat_bool( Y, X ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_nat_bool( Y, X ) ), hBOOL( hAPP_f54304608l_bool(
% 0.84/1.24 hAPP_n215258509l_bool( member_nat, X ), Y ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, X ), Y ) )
% 0.84/1.24 , hBOOL( hAPP_a_bool( Y, X ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_a_bool( Y, X ) ), hBOOL( hAPP_fun_a_bool_bool(
% 0.84/1.24 hAPP_a85458249l_bool( member_a, X ), Y ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, X )
% 0.84/1.24 , Y ) ), hBOOL( hAPP_pname_bool( Y, X ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_pname_bool( Y, X ) ), hBOOL( hAPP_f1664156314l_bool(
% 0.84/1.24 hAPP_p338031245l_bool( member_pname, X ), Y ) ) }.
% 0.84/1.24 { ! is_fun_pname_bool( X ), collect_pname( X ) = X }.
% 0.84/1.24 { collect_fun_nat_bool( X ) = X }.
% 0.84/1.24 { ! is_fun1661590463l_bool( X ), collec1974731493e_bool( X ) = X }.
% 0.84/1.24 { ! is_fun949378684l_bool( X ), collect_fun_a_bool( X ) = X }.
% 0.84/1.24 { collect_nat( X ) = X }.
% 0.84/1.24 { ! is_a( X ), ! hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool(
% 0.84/1.24 member_a, X ), image_pname_a( Y, Z ) ) ), is_pname( skol7( T, U, W ) ) }
% 0.84/1.24 .
% 0.84/1.24 { ! is_a( X ), ! hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool(
% 0.84/1.24 member_a, X ), image_pname_a( Y, Z ) ) ), alpha1( X, Y, Z, skol7( X, Y, Z
% 0.84/1.24 ) ) }.
% 0.84/1.24 { ! is_a( X ), ! is_pname( T ), ! alpha1( X, Y, Z, T ), hBOOL(
% 0.84/1.24 hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, X ), image_pname_a
% 0.84/1.24 ( Y, Z ) ) ) }.
% 0.84/1.24 { ! alpha1( X, Y, Z, T ), hBOOL( hAPP_f1664156314l_bool(
% 0.84/1.24 hAPP_p338031245l_bool( member_pname, T ), Z ) ) }.
% 0.84/1.24 { ! alpha1( X, Y, Z, T ), X = hAPP_pname_a( Y, T ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, T )
% 0.84/1.24 , Z ) ), ! X = hAPP_pname_a( Y, T ), alpha1( X, Y, Z, T ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, X )
% 0.84/1.24 , Y ) ), hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a,
% 0.84/1.24 hAPP_pname_a( Z, X ) ), image_pname_a( Z, Y ) ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, X )
% 0.84/1.24 , Y ) ), ! Z = hAPP_pname_a( T, X ), hBOOL( hAPP_fun_a_bool_bool(
% 0.84/1.24 hAPP_a85458249l_bool( member_a, Z ), image_pname_a( T, Y ) ) ) }.
% 0.84/1.24 { insert_nat( X, Y ) = collect_nat( cOMBS_nat_bool_bool(
% 0.84/1.24 cOMBB_1015721476ol_nat( fdisj, hAPP_n1699378549t_bool( cOMBC_nat_nat_bool
% 0.84/1.24 ( fequal_nat ), X ) ), hAPP_f800510211t_bool( cOMBC_226598744l_bool(
% 0.84/1.24 member_nat ), Y ) ) ) }.
% 0.84/1.24 { insert_pname( X, Y ) = collect_pname( cOMBS_568398431l_bool(
% 0.84/1.24 cOMBB_675860798_pname( fdisj, hAPP_p61793385e_bool(
% 0.84/1.24 cOMBC_1149511130e_bool( fequal_pname ), X ) ), hAPP_f759274231e_bool(
% 0.84/1.24 cOMBC_1058051404l_bool( member_pname ), Y ) ) ) }.
% 0.84/1.24 { insert_a( X, Y ) = collect_a( cOMBS_a_bool_bool( cOMBB_1972296269bool_a(
% 0.84/1.24 fdisj, hAPP_a_fun_a_bool( cOMBC_a_a_bool( fequal_a ), X ) ),
% 0.84/1.24 hAPP_f2050579477a_bool( cOMBC_1355376034l_bool( member_a ), Y ) ) ) }.
% 0.84/1.24 { insert_fun_nat_bool( X, Y ) = collect_fun_nat_bool(
% 0.84/1.24 cOMBS_1187019125l_bool( cOMBB_444170502t_bool( fdisj,
% 0.84/1.24 hAPP_f103356543l_bool( cOMBC_1693257480l_bool( fequal_fun_nat_bool ), X )
% 0.84/1.24 ), hAPP_f1246832597l_bool( cOMBC_1245412066l_bool( member_fun_nat_bool )
% 0.84/1.24 , Y ) ) ) }.
% 0.84/1.24 { insert1325755072e_bool( X, Y ) = collec1974731493e_bool(
% 0.84/1.24 cOMBS_350070575l_bool( cOMBB_2095475776e_bool( fdisj,
% 0.84/1.24 hAPP_f434788991l_bool( cOMBC_1284144636l_bool( fequal533582459e_bool ), X
% 0.84/1.24 ) ), hAPP_f559147733l_bool( cOMBC_1988546018l_bool(
% 0.84/1.24 member799430823e_bool ), Y ) ) ) }.
% 0.84/1.24 { insert_fun_a_bool( X, Y ) = collect_fun_a_bool( cOMBS_1035972772l_bool(
% 0.84/1.24 cOMBB_338059395a_bool( fdisj, hAPP_f1631501043l_bool(
% 0.84/1.24 cOMBC_1732670874l_bool( fequal_fun_a_bool ), X ) ),
% 0.84/1.24 hAPP_f2117159681l_bool( cOMBC_1880041174l_bool( member_fun_a_bool ), Y )
% 0.84/1.24 ) ) }.
% 0.84/1.24 { hBOOL( hAPP_f54304608l_bool( hAPP_f103356543l_bool(
% 0.84/1.24 ord_le1568362934t_bool, X ), insert_nat( Y, X ) ) ) }.
% 0.84/1.24 { hBOOL( hAPP_f1664156314l_bool( hAPP_f434788991l_bool(
% 0.84/1.24 ord_le313189616e_bool, X ), insert_pname( Y, X ) ) ) }.
% 0.84/1.24 { hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 0.84/1.24 ord_le1311769555a_bool, X ), insert_a( Y, X ) ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f54304608l_bool( hAPP_f103356543l_bool(
% 0.84/1.24 ord_le1568362934t_bool, insert_nat( X, Y ) ), Z ) ), hBOOL(
% 0.84/1.24 hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, X ), Z ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f54304608l_bool( hAPP_f103356543l_bool(
% 0.84/1.24 ord_le1568362934t_bool, insert_nat( X, Y ) ), Z ) ), hBOOL(
% 0.84/1.24 hAPP_f54304608l_bool( hAPP_f103356543l_bool( ord_le1568362934t_bool, Y )
% 0.84/1.24 , Z ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, X ), Z
% 0.84/1.24 ) ), ! hBOOL( hAPP_f54304608l_bool( hAPP_f103356543l_bool(
% 0.84/1.24 ord_le1568362934t_bool, Y ), Z ) ), hBOOL( hAPP_f54304608l_bool(
% 0.84/1.24 hAPP_f103356543l_bool( ord_le1568362934t_bool, insert_nat( X, Y ) ), Z )
% 0.84/1.24 ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f1664156314l_bool( hAPP_f434788991l_bool(
% 0.84/1.24 ord_le313189616e_bool, insert_pname( X, Y ) ), Z ) ), hBOOL(
% 0.84/1.24 hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, X ), Z ) ) }
% 0.84/1.24 .
% 0.84/1.24 { ! hBOOL( hAPP_f1664156314l_bool( hAPP_f434788991l_bool(
% 0.84/1.24 ord_le313189616e_bool, insert_pname( X, Y ) ), Z ) ), hBOOL(
% 0.84/1.24 hAPP_f1664156314l_bool( hAPP_f434788991l_bool( ord_le313189616e_bool, Y )
% 0.84/1.24 , Z ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, X )
% 0.84/1.24 , Z ) ), ! hBOOL( hAPP_f1664156314l_bool( hAPP_f434788991l_bool(
% 0.84/1.24 ord_le313189616e_bool, Y ), Z ) ), hBOOL( hAPP_f1664156314l_bool(
% 0.84/1.24 hAPP_f434788991l_bool( ord_le313189616e_bool, insert_pname( X, Y ) ), Z )
% 0.84/1.24 ) }.
% 0.84/1.24 { ! hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 0.84/1.24 ord_le1311769555a_bool, insert_a( X, Y ) ), Z ) ), hBOOL(
% 0.84/1.24 hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, X ), Z ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 0.84/1.24 ord_le1311769555a_bool, insert_a( X, Y ) ), Z ) ), hBOOL(
% 0.84/1.24 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool, Y )
% 0.84/1.24 , Z ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, X ), Z ) )
% 0.84/1.24 , ! hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 0.84/1.24 ord_le1311769555a_bool, Y ), Z ) ), hBOOL( hAPP_fun_a_bool_bool(
% 0.84/1.24 hAPP_f1631501043l_bool( ord_le1311769555a_bool, insert_a( X, Y ) ), Z ) )
% 0.84/1.24 }.
% 0.84/1.24 { hBOOL( hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, X ), Y )
% 0.84/1.24 ), ! hBOOL( hAPP_f54304608l_bool( hAPP_f103356543l_bool(
% 0.84/1.24 ord_le1568362934t_bool, Y ), insert_nat( X, Z ) ) ), hBOOL(
% 0.84/1.24 hAPP_f54304608l_bool( hAPP_f103356543l_bool( ord_le1568362934t_bool, Y )
% 0.84/1.24 , Z ) ) }.
% 0.84/1.24 { hBOOL( hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, X ), Y )
% 0.84/1.24 ), ! hBOOL( hAPP_f54304608l_bool( hAPP_f103356543l_bool(
% 0.84/1.24 ord_le1568362934t_bool, Y ), Z ) ), hBOOL( hAPP_f54304608l_bool(
% 0.84/1.24 hAPP_f103356543l_bool( ord_le1568362934t_bool, Y ), insert_nat( X, Z ) )
% 0.84/1.24 ) }.
% 0.84/1.24 { hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, X ),
% 0.84/1.24 Y ) ), ! hBOOL( hAPP_f1664156314l_bool( hAPP_f434788991l_bool(
% 0.84/1.24 ord_le313189616e_bool, Y ), insert_pname( X, Z ) ) ), hBOOL(
% 0.84/1.24 hAPP_f1664156314l_bool( hAPP_f434788991l_bool( ord_le313189616e_bool, Y )
% 0.84/1.24 , Z ) ) }.
% 0.84/1.24 { hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, X ),
% 0.84/1.24 Y ) ), ! hBOOL( hAPP_f1664156314l_bool( hAPP_f434788991l_bool(
% 0.84/1.24 ord_le313189616e_bool, Y ), Z ) ), hBOOL( hAPP_f1664156314l_bool(
% 0.84/1.24 hAPP_f434788991l_bool( ord_le313189616e_bool, Y ), insert_pname( X, Z ) )
% 0.84/1.24 ) }.
% 0.84/1.24 { hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, X ), Y ) ),
% 0.84/1.24 ! hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 0.84/1.24 ord_le1311769555a_bool, Y ), insert_a( X, Z ) ) ), hBOOL(
% 0.84/1.24 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool, Y )
% 0.84/1.24 , Z ) ) }.
% 0.84/1.24 { hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, X ), Y ) ),
% 0.84/1.24 ! hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 0.84/1.24 ord_le1311769555a_bool, Y ), Z ) ), hBOOL( hAPP_fun_a_bool_bool(
% 0.84/1.24 hAPP_f1631501043l_bool( ord_le1311769555a_bool, Y ), insert_a( X, Z ) ) )
% 0.84/1.24 }.
% 0.84/1.24 { ! hBOOL( hAPP_f54304608l_bool( hAPP_f103356543l_bool(
% 0.84/1.24 ord_le1568362934t_bool, X ), Y ) ), hBOOL( hAPP_f54304608l_bool(
% 0.84/1.24 hAPP_f103356543l_bool( ord_le1568362934t_bool, X ), insert_nat( Z, Y ) )
% 0.84/1.24 ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f1664156314l_bool( hAPP_f434788991l_bool(
% 0.84/1.24 ord_le313189616e_bool, X ), Y ) ), hBOOL( hAPP_f1664156314l_bool(
% 0.84/1.24 hAPP_f434788991l_bool( ord_le313189616e_bool, X ), insert_pname( Z, Y ) )
% 0.84/1.24 ) }.
% 0.84/1.24 { ! hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 0.84/1.24 ord_le1311769555a_bool, X ), Y ) ), hBOOL( hAPP_fun_a_bool_bool(
% 0.84/1.24 hAPP_f1631501043l_bool( ord_le1311769555a_bool, X ), insert_a( Z, Y ) ) )
% 0.84/1.24 }.
% 0.84/1.24 { ! hBOOL( hAPP_f54304608l_bool( hAPP_f103356543l_bool(
% 0.84/1.24 ord_le1568362934t_bool, X ), Y ) ), hBOOL( hAPP_f54304608l_bool(
% 0.84/1.24 hAPP_f103356543l_bool( ord_le1568362934t_bool, insert_nat( Z, X ) ),
% 0.84/1.24 insert_nat( Z, Y ) ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f1664156314l_bool( hAPP_f434788991l_bool(
% 0.84/1.24 ord_le313189616e_bool, X ), Y ) ), hBOOL( hAPP_f1664156314l_bool(
% 0.84/1.24 hAPP_f434788991l_bool( ord_le313189616e_bool, insert_pname( Z, X ) ),
% 0.84/1.24 insert_pname( Z, Y ) ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 0.84/1.24 ord_le1311769555a_bool, X ), Y ) ), hBOOL( hAPP_fun_a_bool_bool(
% 0.84/1.24 hAPP_f1631501043l_bool( ord_le1311769555a_bool, insert_a( Z, X ) ),
% 0.84/1.24 insert_a( Z, Y ) ) ) }.
% 0.84/1.24 { image_pname_a( X, insert_pname( Y, Z ) ) = insert_a( hAPP_pname_a( X, Y )
% 0.84/1.24 , image_pname_a( X, Z ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, X )
% 0.84/1.24 , Y ) ), insert_a( hAPP_pname_a( Z, X ), image_pname_a( Z, Y ) ) =
% 0.84/1.24 image_pname_a( Z, Y ) }.
% 0.84/1.24 { ! is_fun_a_bool( X ), ! hBOOL( hAPP_fun_a_bool_bool(
% 0.84/1.24 hAPP_f1631501043l_bool( ord_le1311769555a_bool, X ), image_pname_a( Y, Z
% 0.84/1.24 ) ) ), is_fun_pname_bool( skol8( T, U, W ) ) }.
% 0.84/1.24 { ! is_fun_a_bool( X ), ! hBOOL( hAPP_fun_a_bool_bool(
% 0.84/1.24 hAPP_f1631501043l_bool( ord_le1311769555a_bool, X ), image_pname_a( Y, Z
% 0.84/1.24 ) ) ), alpha2( X, Y, Z, skol8( X, Y, Z ) ) }.
% 0.84/1.24 { ! is_fun_a_bool( X ), ! is_fun_pname_bool( T ), ! alpha2( X, Y, Z, T ),
% 0.84/1.24 hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 0.84/1.24 ord_le1311769555a_bool, X ), image_pname_a( Y, Z ) ) ) }.
% 0.84/1.24 { ! alpha2( X, Y, Z, T ), hBOOL( hAPP_f1664156314l_bool(
% 0.84/1.24 hAPP_f434788991l_bool( ord_le313189616e_bool, T ), Z ) ) }.
% 0.84/1.24 { ! alpha2( X, Y, Z, T ), X = image_pname_a( Y, T ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f1664156314l_bool( hAPP_f434788991l_bool(
% 0.84/1.24 ord_le313189616e_bool, T ), Z ) ), ! X = image_pname_a( Y, T ), alpha2( X
% 0.84/1.24 , Y, Z, T ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f1664156314l_bool( hAPP_f434788991l_bool(
% 0.84/1.24 ord_le313189616e_bool, X ), Y ) ), hBOOL( hAPP_fun_a_bool_bool(
% 0.84/1.24 hAPP_f1631501043l_bool( ord_le1311769555a_bool, image_pname_a( Z, X ) ),
% 0.84/1.24 image_pname_a( Z, Y ) ) ) }.
% 0.84/1.24 { ! is_a( X ), ! hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool(
% 0.84/1.24 member_a, X ), image_pname_a( Y, Z ) ) ), is_pname( skol9( T, U, W ) ) }
% 0.84/1.24 .
% 0.84/1.24 { ! is_a( X ), ! hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool(
% 0.84/1.24 member_a, X ), image_pname_a( Y, Z ) ) ), hBOOL( hAPP_f1664156314l_bool(
% 0.84/1.24 hAPP_p338031245l_bool( member_pname, skol9( T, U, Z ) ), Z ) ) }.
% 0.84/1.24 { ! is_a( X ), ! hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool(
% 0.84/1.24 member_a, X ), image_pname_a( Y, Z ) ) ), X = hAPP_pname_a( Y, skol9( X,
% 0.84/1.24 Y, Z ) ) }.
% 0.84/1.24 { hBOOL( hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, skol10( Z
% 0.84/1.24 , Y ) ), Y ) ), hBOOL( hAPP_f54304608l_bool( hAPP_f103356543l_bool(
% 0.84/1.24 ord_le1568362934t_bool, Y ), X ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, skol10
% 0.84/1.24 ( X, Y ) ), X ) ), hBOOL( hAPP_f54304608l_bool( hAPP_f103356543l_bool(
% 0.84/1.24 ord_le1568362934t_bool, Y ), X ) ) }.
% 0.84/1.24 { is_a( skol11( Z, T ) ), hBOOL( hAPP_fun_a_bool_bool(
% 0.84/1.24 hAPP_f1631501043l_bool( ord_le1311769555a_bool, Y ), X ) ) }.
% 0.84/1.24 { hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, skol11( Z, Y
% 0.84/1.24 ) ), Y ) ), hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 0.84/1.24 ord_le1311769555a_bool, Y ), X ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, skol11( X
% 0.84/1.24 , Y ) ), X ) ), hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 0.84/1.24 ord_le1311769555a_bool, Y ), X ) ) }.
% 0.84/1.24 { is_pname( skol12( Z, T ) ), hBOOL( hAPP_f1664156314l_bool(
% 0.84/1.24 hAPP_f434788991l_bool( ord_le313189616e_bool, Y ), X ) ) }.
% 0.84/1.24 { hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname,
% 0.84/1.24 skol12( Z, Y ) ), Y ) ), hBOOL( hAPP_f1664156314l_bool(
% 0.84/1.24 hAPP_f434788991l_bool( ord_le313189616e_bool, Y ), X ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname,
% 0.84/1.24 skol12( X, Y ) ), X ) ), hBOOL( hAPP_f1664156314l_bool(
% 0.84/1.24 hAPP_f434788991l_bool( ord_le313189616e_bool, Y ), X ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_nat_bool( X, Y ) ), hBOOL( hAPP_nat_bool( X, hAPP_nat_nat(
% 0.84/1.24 suc, skol13( X ) ) ) ), hBOOL( hAPP_nat_bool( X, hAPP_nat_nat(
% 0.84/1.24 minus_minus_nat( Y ), Z ) ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_nat_bool( X, Y ) ), ! hBOOL( hAPP_nat_bool( X, skol13( X )
% 0.84/1.24 ) ), hBOOL( hAPP_nat_bool( X, hAPP_nat_nat( minus_minus_nat( Y ), Z ) )
% 0.84/1.24 ) }.
% 0.84/1.24 { ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.24 hAPP_nat_nat( suc, Y ) ), X ) ), X = hAPP_nat_nat( suc, skol14( X ) ) }.
% 0.84/1.24 { is_pname( skol15( T, U, W ) ), hBOOL( hAPP_fun_a_bool_bool(
% 0.84/1.24 hAPP_f1631501043l_bool( ord_le1311769555a_bool, image_pname_a( X, Z ) ),
% 0.84/1.24 Y ) ) }.
% 0.84/1.24 { hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname,
% 0.84/1.24 skol15( T, U, Z ) ), Z ) ), hBOOL( hAPP_fun_a_bool_bool(
% 0.84/1.24 hAPP_f1631501043l_bool( ord_le1311769555a_bool, image_pname_a( X, Z ) ),
% 0.84/1.24 Y ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a,
% 0.84/1.24 hAPP_pname_a( X, skol15( X, Y, Z ) ) ), Y ) ), hBOOL(
% 0.84/1.24 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool,
% 0.84/1.24 image_pname_a( X, Z ) ), Y ) ) }.
% 0.84/1.24 { hBOOL( hAPP_f54304608l_bool( hAPP_f103356543l_bool(
% 0.84/1.24 ord_le1568362934t_bool, X ), X ) ) }.
% 0.84/1.24 { hBOOL( hAPP_f1664156314l_bool( hAPP_f434788991l_bool(
% 0.84/1.24 ord_le313189616e_bool, X ), X ) ) }.
% 0.84/1.24 { hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X ), X ) )
% 0.84/1.24 }.
% 0.84/1.24 { hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 0.84/1.24 ord_le1311769555a_bool, X ), X ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f54304608l_bool( finite_finite_nat, X ) ), ! hBOOL(
% 0.84/1.24 hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, Y ), X ) ),
% 0.84/1.24 hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, Y ),
% 0.84/1.24 skol16( X ) ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, skol17(
% 0.84/1.24 Z, Y ) ), Y ) ), hBOOL( hAPP_f54304608l_bool( finite_finite_nat, X ) ) }
% 0.84/1.24 .
% 0.84/1.24 { hBOOL( hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, skol17( X
% 0.84/1.24 , Y ) ), X ) ), hBOOL( hAPP_f54304608l_bool( finite_finite_nat, X ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_bool_bool( fNot, X ) ), ! hBOOL( X ) }.
% 0.84/1.24 { hBOOL( X ), hBOOL( hAPP_bool_bool( fNot, X ) ) }.
% 0.84/1.24 { ! hBOOL( X ), ! hBOOL( Y ), hBOOL( hAPP_bool_bool( hAPP_b589554111l_bool
% 0.84/1.24 ( fconj, X ), Y ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_bool_bool( hAPP_b589554111l_bool( fconj, X ), Y ) ), hBOOL
% 0.84/1.24 ( X ) }.
% 0.84/1.24 { ! hBOOL( hAPP_bool_bool( hAPP_b589554111l_bool( fconj, Y ), X ) ), hBOOL
% 0.84/1.24 ( X ) }.
% 0.84/1.24 { ! hBOOL( X ), hBOOL( hAPP_bool_bool( hAPP_b589554111l_bool( fdisj, X ), Y
% 0.84/1.24 ) ) }.
% 0.84/1.24 { ! hBOOL( X ), hBOOL( hAPP_bool_bool( hAPP_b589554111l_bool( fdisj, Y ), X
% 0.84/1.24 ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_bool_bool( hAPP_b589554111l_bool( fdisj, X ), Y ) ), hBOOL
% 0.84/1.24 ( X ), hBOOL( Y ) }.
% 0.84/1.24 { hBOOL( X ), hBOOL( hAPP_bool_bool( hAPP_b589554111l_bool( fimplies, X ),
% 0.84/1.24 Y ) ) }.
% 0.84/1.24 { ! hBOOL( X ), hBOOL( hAPP_bool_bool( hAPP_b589554111l_bool( fimplies, Y )
% 0.84/1.24 , X ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_bool_bool( hAPP_b589554111l_bool( fimplies, X ), Y ) ), !
% 0.84/1.24 hBOOL( X ), hBOOL( Y ) }.
% 0.84/1.24 { ! is_a( X ), ! is_a( Y ), ! hBOOL( hAPP_a_bool( hAPP_a_fun_a_bool(
% 0.84/1.24 fequal_a, X ), Y ) ), X = Y }.
% 0.84/1.24 { ! X = Y, hBOOL( hAPP_a_bool( hAPP_a_fun_a_bool( fequal_a, X ), Y ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( fequal_nat, X ), Y ) ), X
% 0.84/1.24 = Y }.
% 0.84/1.24 { ! X = Y, hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( fequal_nat, X ), Y
% 0.84/1.24 ) ) }.
% 0.84/1.24 { ! is_pname( X ), ! is_pname( Y ), ! hBOOL( hAPP_pname_bool(
% 0.84/1.24 hAPP_p61793385e_bool( fequal_pname, X ), Y ) ), X = Y }.
% 0.84/1.24 { ! X = Y, hBOOL( hAPP_pname_bool( hAPP_p61793385e_bool( fequal_pname, X )
% 0.84/1.24 , Y ) ) }.
% 0.84/1.24 { hAPP_a_bool( hAPP_a_fun_a_bool( cOMBC_a_a_bool( X ), Y ), Z ) =
% 0.84/1.24 hAPP_a_bool( hAPP_a_fun_a_bool( X, Z ), Y ) }.
% 0.84/1.24 { ! is_fun_a_bool( X ), ! is_fun_a_bool( Y ), ! hBOOL( hAPP_fun_a_bool_bool
% 0.84/1.24 ( hAPP_f1631501043l_bool( fequal_fun_a_bool, X ), Y ) ), X = Y }.
% 0.84/1.24 { ! X = Y, hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 0.84/1.24 fequal_fun_a_bool, X ), Y ) ) }.
% 0.84/1.24 { hAPP_a_bool( cOMBB_bool_bool_a( X, Y ), Z ) = hAPP_bool_bool( X,
% 0.84/1.24 hAPP_a_bool( Y, Z ) ) }.
% 0.84/1.24 { hAPP_a_bool( cOMBS_a_bool_bool( X, Y ), Z ) = hAPP_bool_bool(
% 0.84/1.24 hAPP_a_fun_bool_bool( X, Z ), hAPP_a_bool( Y, Z ) ) }.
% 0.84/1.24 { hAPP_pname_bool( hAPP_a93125764e_bool( cOMBC_pname_a_bool( X ), Y ), Z )
% 0.84/1.24 = hAPP_a_bool( hAPP_p1534023578a_bool( X, Z ), Y ) }.
% 0.84/1.24 { ! hBOOL( hAPP_f54304608l_bool( hAPP_f103356543l_bool( fequal_fun_nat_bool
% 0.84/1.24 , X ), Y ) ), X = Y }.
% 0.84/1.24 { ! X = Y, hBOOL( hAPP_f54304608l_bool( hAPP_f103356543l_bool(
% 0.84/1.24 fequal_fun_nat_bool, X ), Y ) ) }.
% 0.84/1.24 { ! is_fun_pname_bool( X ), ! is_fun_pname_bool( Y ), ! hBOOL(
% 0.84/1.24 hAPP_f1664156314l_bool( hAPP_f434788991l_bool( fequal533582459e_bool, X )
% 0.84/1.24 , Y ) ), X = Y }.
% 0.84/1.24 { ! X = Y, hBOOL( hAPP_f1664156314l_bool( hAPP_f434788991l_bool(
% 0.84/1.24 fequal533582459e_bool, X ), Y ) ) }.
% 0.84/1.24 { hAPP_nat_bool( hAPP_n1699378549t_bool( cOMBC_nat_nat_bool( X ), Y ), Z )
% 0.84/1.24 = hAPP_nat_bool( hAPP_n1699378549t_bool( X, Z ), Y ) }.
% 0.84/1.24 { hAPP_nat_bool( cOMBB_bool_bool_nat( X, Y ), Z ) = hAPP_bool_bool( X,
% 0.84/1.24 hAPP_nat_bool( Y, Z ) ) }.
% 0.84/1.24 { hAPP_nat_bool( cOMBS_nat_bool_bool( X, Y ), Z ) = hAPP_bool_bool(
% 0.84/1.24 hAPP_n1006566506l_bool( X, Z ), hAPP_nat_bool( Y, Z ) ) }.
% 0.84/1.24 { hAPP_pname_bool( cOMBB_647938656_pname( X, Y ), Z ) = hAPP_bool_bool( X,
% 0.84/1.24 hAPP_pname_bool( Y, Z ) ) }.
% 0.84/1.24 { hAPP_pname_bool( cOMBS_568398431l_bool( X, Y ), Z ) = hAPP_bool_bool(
% 0.84/1.24 hAPP_p393069232l_bool( X, Z ), hAPP_pname_bool( Y, Z ) ) }.
% 0.84/1.24 { hAPP_pname_bool( hAPP_p61793385e_bool( cOMBC_1149511130e_bool( X ), Y ),
% 0.84/1.24 Z ) = hAPP_pname_bool( hAPP_p61793385e_bool( X, Z ), Y ) }.
% 0.84/1.24 { hAPP_a_bool( hAPP_f2050579477a_bool( cOMBC_1355376034l_bool( X ), Y ), Z
% 0.84/1.24 ) = hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( X, Z ), Y ) }.
% 0.84/1.24 { hAPP_p1534023578a_bool( cOMBB_1897541054_pname( X, Y ), Z ) =
% 0.84/1.24 hAPP_a_fun_a_bool( X, hAPP_pname_a( Y, Z ) ) }.
% 0.84/1.24 { hAPP_fun_a_bool_bool( cOMBB_2140588453a_bool( X, Y ), Z ) =
% 0.84/1.24 hAPP_bool_bool( X, hAPP_fun_a_bool_bool( Y, Z ) ) }.
% 0.84/1.24 { hAPP_a_fun_bool_bool( cOMBB_1972296269bool_a( X, Y ), Z ) =
% 0.84/1.24 hAPP_b589554111l_bool( X, hAPP_a_bool( Y, Z ) ) }.
% 0.84/1.24 { hAPP_fun_a_bool_bool( cOMBS_1035972772l_bool( X, Y ), Z ) =
% 0.84/1.24 hAPP_bool_bool( hAPP_f198738859l_bool( X, Z ), hAPP_fun_a_bool_bool( Y, Z
% 0.84/1.24 ) ) }.
% 0.84/1.24 { hAPP_nat_bool( hAPP_f800510211t_bool( cOMBC_226598744l_bool( X ), Y ), Z
% 0.84/1.24 ) = hAPP_f54304608l_bool( hAPP_n215258509l_bool( X, Z ), Y ) }.
% 0.84/1.24 { hAPP_f54304608l_bool( cOMBB_238756964t_bool( X, Y ), Z ) = hAPP_bool_bool
% 0.84/1.24 ( X, hAPP_f54304608l_bool( Y, Z ) ) }.
% 0.84/1.24 { hAPP_n1006566506l_bool( cOMBB_1015721476ol_nat( X, Y ), Z ) =
% 0.84/1.24 hAPP_b589554111l_bool( X, hAPP_nat_bool( Y, Z ) ) }.
% 0.84/1.24 { hAPP_f54304608l_bool( cOMBS_1187019125l_bool( X, Y ), Z ) =
% 0.84/1.24 hAPP_bool_bool( hAPP_f1748468828l_bool( X, Z ), hAPP_f54304608l_bool( Y,
% 0.84/1.24 Z ) ) }.
% 0.84/1.24 { hAPP_f1664156314l_bool( cOMBB_307249310e_bool( X, Y ), Z ) =
% 0.84/1.24 hAPP_bool_bool( X, hAPP_f1664156314l_bool( Y, Z ) ) }.
% 0.84/1.24 { hAPP_p393069232l_bool( cOMBB_675860798_pname( X, Y ), Z ) =
% 0.84/1.24 hAPP_b589554111l_bool( X, hAPP_pname_bool( Y, Z ) ) }.
% 0.84/1.24 { hAPP_f1664156314l_bool( cOMBS_350070575l_bool( X, Y ), Z ) =
% 0.84/1.24 hAPP_bool_bool( hAPP_f1476298914l_bool( X, Z ), hAPP_f1664156314l_bool( Y
% 0.84/1.24 , Z ) ) }.
% 0.84/1.24 { hAPP_pname_bool( hAPP_f759274231e_bool( cOMBC_1058051404l_bool( X ), Y )
% 0.84/1.24 , Z ) = hAPP_f1664156314l_bool( hAPP_p338031245l_bool( X, Z ), Y ) }.
% 0.84/1.24 { hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( cOMBC_1732670874l_bool( X )
% 0.84/1.24 , Y ), Z ) = hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( X, Z ), Y ) }
% 0.84/1.24 .
% 0.84/1.24 { hAPP_f198738859l_bool( cOMBB_338059395a_bool( X, Y ), Z ) =
% 0.84/1.24 hAPP_b589554111l_bool( X, hAPP_fun_a_bool_bool( Y, Z ) ) }.
% 0.84/1.24 { hAPP_f54304608l_bool( hAPP_f103356543l_bool( cOMBC_1693257480l_bool( X )
% 0.84/1.24 , Y ), Z ) = hAPP_f54304608l_bool( hAPP_f103356543l_bool( X, Z ), Y ) }.
% 0.84/1.24 { hAPP_f1748468828l_bool( cOMBB_444170502t_bool( X, Y ), Z ) =
% 0.84/1.24 hAPP_b589554111l_bool( X, hAPP_f54304608l_bool( Y, Z ) ) }.
% 0.84/1.24 { hAPP_f1476298914l_bool( cOMBB_2095475776e_bool( X, Y ), Z ) =
% 0.84/1.24 hAPP_b589554111l_bool( X, hAPP_f1664156314l_bool( Y, Z ) ) }.
% 0.84/1.24 { hAPP_f1664156314l_bool( hAPP_f434788991l_bool( cOMBC_1284144636l_bool( X
% 0.84/1.24 ), Y ), Z ) = hAPP_f1664156314l_bool( hAPP_f434788991l_bool( X, Z ), Y )
% 0.84/1.24 }.
% 0.84/1.24 { hAPP_fun_a_bool_bool( hAPP_f2117159681l_bool( cOMBC_1880041174l_bool( X )
% 0.84/1.24 , Y ), Z ) = hAPP_f621171935l_bool( hAPP_f285962445l_bool( X, Z ), Y ) }
% 0.84/1.24 .
% 0.84/1.24 { hAPP_f54304608l_bool( hAPP_f1246832597l_bool( cOMBC_1245412066l_bool( X )
% 0.84/1.24 , Y ), Z ) = hAPP_f1637334154l_bool( hAPP_f1951378235l_bool( X, Z ), Y )
% 0.84/1.24 }.
% 0.84/1.24 { hAPP_f1664156314l_bool( hAPP_f559147733l_bool( cOMBC_1988546018l_bool( X
% 0.84/1.24 ), Y ), Z ) = hAPP_f1935102916l_bool( hAPP_f556039215l_bool( X, Z ), Y )
% 0.84/1.24 }.
% 0.84/1.24 { hAPP_f621171935l_bool( hAPP_f1434722111l_bool( cOMBC_331553030l_bool( X )
% 0.84/1.24 , Y ), Z ) = hAPP_f621171935l_bool( hAPP_f1434722111l_bool( X, Z ), Y ) }
% 0.84/1.24 .
% 0.84/1.24 { hAPP_f1637334154l_bool( hAPP_f1772781669l_bool( cOMBC_595898202l_bool( X
% 0.84/1.24 ), Y ), Z ) = hAPP_f1637334154l_bool( hAPP_f1772781669l_bool( X, Z ), Y
% 0.84/1.24 ) }.
% 0.84/1.24 { hAPP_f1935102916l_bool( hAPP_f510955609l_bool( cOMBC_7971162l_bool( X ),
% 0.84/1.24 Y ), Z ) = hAPP_f1935102916l_bool( hAPP_f510955609l_bool( X, Z ), Y ) }.
% 0.84/1.24 { hAPP_f292226953l_bool( hAPP_f1050622307l_bool( cOMBC_636888218l_bool( X )
% 0.84/1.24 , Y ), Z ) = hAPP_f292226953l_bool( hAPP_f1050622307l_bool( X, Z ), Y ) }
% 0.84/1.24 .
% 0.84/1.24 { hAPP_f937997336l_bool( hAPP_f760187903l_bool( cOMBC_1269652216l_bool( X )
% 0.84/1.24 , Y ), Z ) = hAPP_f937997336l_bool( hAPP_f760187903l_bool( X, Z ), Y ) }
% 0.84/1.24 .
% 0.84/1.24 { hAPP_f389811538l_bool( hAPP_f1759205631l_bool( cOMBC_336095980l_bool( X )
% 0.84/1.24 , Y ), Z ) = hAPP_f389811538l_bool( hAPP_f1759205631l_bool( X, Z ), Y ) }
% 0.84/1.24 .
% 0.84/1.24 { hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, u ) ) }.
% 0.84/1.24 { hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 0.84/1.24 ord_le1311769555a_bool, g ), image_pname_a( mgt_call, u ) ) ) }.
% 0.84/1.24 { hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 0.84/1.24 hAPP_nat_nat( suc, na ) ), hAPP_fun_a_bool_nat( finite_card_a,
% 0.84/1.24 image_pname_a( mgt_call, u ) ) ) ) }.
% 0.84/1.24 { hAPP_fun_a_bool_nat( finite_card_a, g ) = hAPP_nat_nat( minus_minus_nat(
% 0.84/1.24 hAPP_fun_a_bool_nat( finite_card_a, image_pname_a( mgt_call, u ) ) ),
% 0.84/1.24 hAPP_nat_nat( suc, na ) ) }.
% 0.84/1.24 { hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, pn )
% 0.84/1.24 , u ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a,
% 0.84/1.24 hAPP_pname_a( mgt_call, pn ) ), g ) ) }.
% 0.84/1.24 { ! hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 0.84/1.24 ord_le1311769555a_bool, insert_a( hAPP_pname_a( mgt_call, pn ), g ) ),
% 0.84/1.24 image_pname_a( mgt_call, u ) ) ) }.
% 0.84/1.24
% 0.84/1.24 *** allocated 15000 integers for clauses
% 0.84/1.24 *** allocated 22500 integers for clauses
% 0.84/1.24 *** allocated 33750 integers for clauses
% 0.84/1.24 percentage equality = 0.155024, percentage horn = 0.916155
% 0.84/1.24 This is a problem with some equality
% 0.84/1.24
% 0.84/1.24
% 0.84/1.24
% 0.84/1.24 Options Used:
% 0.84/1.24
% 0.84/1.24 useres = 1
% 0.84/1.24 useparamod = 1
% 0.84/1.24 useeqrefl = 1
% 0.84/1.24 useeqfact = 1
% 0.84/1.24 usefactor = 1
% 0.84/1.24 usesimpsplitting = 0
% 0.84/1.24 usesimpdemod = 5
% 0.84/1.24 usesimpres = 3
% 0.84/1.24
% 0.84/1.24 resimpinuse = 1000
% 0.84/1.24 resimpclauses = 20000
% 0.84/1.24 substype = eqrewr
% 0.84/1.24 backwardsubs = 1
% 0.84/1.24 selectoldest = 5
% 0.84/1.24
% 0.84/1.24 litorderings [0] = split
% 0.84/1.24 litorderings [1] = extend the termordering, first sorting on arguments
% 0.84/1.24
% 0.84/1.24 termordering = kbo
% 0.84/1.24
% 0.84/1.24 litapriori = 0
% 0.84/1.24 termapriori = 1
% 0.84/1.24 litaposteriori = 0
% 0.84/1.24 termaposteriori = 0
% 0.84/1.24 demodaposteriori = 0
% 0.84/1.24 ordereqreflfact = 0
% 0.84/1.24
% 0.84/1.24 litselect = negord
% 0.84/1.24
% 0.84/1.24 maxweight = 15
% 0.84/1.24 maxdepth = 30000
% 0.84/1.24 maxlength = 115
% 0.84/1.24 maxnrvars = 195
% 0.84/1.24 excuselevel = 1
% 0.84/1.24 increasemaxweight = 1
% 0.84/1.24
% 0.84/1.24 maxselected = 10000000
% 0.84/1.24 maxnrclauses = 10000000
% 0.84/1.24
% 0.84/1.24 showgenerated = 0
% 0.84/1.24 showkept = 0
% 0.84/1.24 showselected = 0
% 0.84/1.24 showdeleted = 0
% 0.84/1.24 showresimp = 1
% 0.84/1.24 showstatus = 2000
% 0.84/1.24
% 0.84/1.24 prologoutput = 0
% 0.84/1.24 nrgoals = 5000000
% 0.84/1.24 totalproof = 1
% 0.84/1.24
% 0.84/1.24 Symbols occurring in the translation:
% 0.84/1.24
% 0.84/1.24 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.84/1.24 . [1, 2] (w:1, o:167, a:1, s:1, b:0),
% 0.84/1.24 ! [4, 1] (w:0, o:108, a:1, s:1, b:0),
% 0.84/1.24 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.84/1.24 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.84/1.24 is_fun_a_bool [37, 1] (w:1, o:114, a:1, s:1, b:0),
% 0.84/1.24 cOMBB_bool_bool_a [38, 2] (w:1, o:191, a:1, s:1, b:0),
% 0.84/1.24 is_fun_pname_bool [39, 1] (w:1, o:115, a:1, s:1, b:0),
% 0.84/1.24 cOMBB_647938656_pname [40, 2] (w:1, o:192, a:1, s:1, b:0),
% 0.84/1.24 is_fun949378684l_bool [41, 1] (w:1, o:116, a:1, s:1, b:0),
% 0.84/1.24 cOMBB_2140588453a_bool [42, 2] (w:1, o:197, a:1, s:1, b:0),
% 0.84/1.24 is_fun1661590463l_bool [43, 1] (w:1, o:117, a:1, s:1, b:0),
% 0.84/1.24 cOMBB_307249310e_bool [44, 2] (w:1, o:199, a:1, s:1, b:0),
% 0.84/1.24 cOMBS_a_bool_bool [45, 2] (w:1, o:200, a:1, s:1, b:0),
% 0.84/1.24 cOMBS_568398431l_bool [46, 2] (w:1, o:201, a:1, s:1, b:0),
% 0.84/1.24 cOMBS_1035972772l_bool [47, 2] (w:1, o:202, a:1, s:1, b:0),
% 0.84/1.24 cOMBS_350070575l_bool [48, 2] (w:1, o:203, a:1, s:1, b:0),
% 0.84/1.24 finite_finite_a [49, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.84/1.24 finite_finite_pname [50, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.84/1.24 x_a [51, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.84/1.24 undefined_a [52, 1] (w:1, o:118, a:1, s:1, b:0),
% 0.84/1.24 is_a [53, 1] (w:1, o:119, a:1, s:1, b:0),
% 0.84/1.24 pname [54, 0] (w:1, o:27, a:1, s:1, b:0),
% 0.84/1.24 undefined_pname [55, 1] (w:1, o:120, a:1, s:1, b:0),
% 0.84/1.24 is_pname [56, 1] (w:1, o:121, a:1, s:1, b:0),
% 0.84/1.24 bool [57, 0] (w:1, o:28, a:1, s:1, b:0),
% 0.84/1.24 fun [58, 2] (w:1, o:204, a:1, s:1, b:0),
% 0.84/1.24 undefined_fun_a_bool [59, 1] (w:1, o:122, a:1, s:1, b:0),
% 0.84/1.24 undefi17486888e_bool [60, 1] (w:1, o:124, a:1, s:1, b:0),
% 0.84/1.24 undefi1699038445l_bool [61, 1] (w:1, o:123, a:1, s:1, b:0),
% 0.84/1.24 undefi64961550l_bool [62, 1] (w:1, o:125, a:1, s:1, b:0),
% 0.84/1.24 collect_a [63, 1] (w:1, o:126, a:1, s:1, b:0),
% 0.84/1.24 collect_pname [64, 1] (w:1, o:127, a:1, s:1, b:0),
% 0.84/1.24 collect_fun_a_bool [65, 1] (w:1, o:128, a:1, s:1, b:0),
% 0.84/1.24 collec1974731493e_bool [66, 1] (w:1, o:130, a:1, s:1, b:0),
% 0.84/1.24 image_a_a [67, 2] (w:1, o:267, a:1, s:1, b:0),
% 0.84/1.24 image_a_pname [68, 2] (w:1, o:268, a:1, s:1, b:0),
% 0.84/1.24 image_pname_a [69, 2] (w:1, o:269, a:1, s:1, b:0),
% 0.84/1.24 image_pname_pname [70, 2] (w:1, o:270, a:1, s:1, b:0),
% 0.84/1.24 image_112932426a_bool [71, 2] (w:1, o:272, a:1, s:1, b:0),
% 0.84/1.24 image_47868345e_bool [72, 2] (w:1, o:285, a:1, s:1, b:0),
% 0.84/1.24 image_nat_a [73, 2] (w:1, o:286, a:1, s:1, b:0),
% 0.84/1.24 image_nat_pname [74, 2] (w:1, o:287, a:1, s:1, b:0),
% 0.84/1.24 image_nat_fun_a_bool [75, 2] (w:1, o:288, a:1, s:1, b:0),
% 0.84/1.24 image_1655916159e_bool [76, 2] (w:1, o:289, a:1, s:1, b:0),
% 0.84/1.24 image_fun_a_bool_a [77, 2] (w:1, o:290, a:1, s:1, b:0),
% 0.84/1.24 image_1854862208_pname [78, 2] (w:1, o:293, a:1, s:1, b:0),
% 0.84/1.24 image_876012084bool_a [79, 2] (w:1, o:294, a:1, s:1, b:0),
% 0.84/1.24 image_1283814551_pname [80, 2] (w:1, o:295, a:1, s:1, b:0),
% 0.84/1.24 image_fun_nat_bool_a [81, 2] (w:1, o:296, a:1, s:1, b:0),
% 0.84/1.24 image_1921560913_pname [82, 2] (w:1, o:297, a:1, s:1, b:0),
% 0.84/1.24 image_573985017bool_a [83, 2] (w:1, o:299, a:1, s:1, b:0),
% 0.84/1.24 image_990671762_pname [84, 2] (w:1, o:300, a:1, s:1, b:0),
% 0.84/1.24 image_349102846bool_a [85, 2] (w:1, o:284, a:1, s:1, b:0),
% 0.84/1.24 image_1705983821_pname [86, 2] (w:1, o:292, a:1, s:1, b:0),
% 0.84/1.24 image_526090948bool_a [87, 2] (w:1, o:301, a:1, s:1, b:0),
% 0.84/1.24 image_1604018183_pname [88, 2] (w:1, o:291, a:1, s:1, b:0),
% 0.84/1.24 insert_a [89, 2] (w:1, o:305, a:1, s:1, b:0),
% 0.84/1.24 insert_pname [90, 2] (w:1, o:306, a:1, s:1, b:0),
% 0.84/1.24 insert_fun_a_bool [91, 2] (w:1, o:307, a:1, s:1, b:0),
% 0.84/1.24 insert1325755072e_bool [92, 2] (w:1, o:308, a:1, s:1, b:0),
% 0.84/1.24 hAPP_a_bool [93, 2] (w:1, o:205, a:1, s:1, b:0),
% 0.84/1.24 is_bool [94, 1] (w:1, o:131, a:1, s:1, b:0),
% 0.84/1.24 hAPP_a_fun_a_bool [95, 2] (w:1, o:206, a:1, s:1, b:0),
% 0.84/1.24 hAPP_a93125764e_bool [96, 2] (w:1, o:208, a:1, s:1, b:0),
% 0.84/1.24 hAPP_a85458249l_bool [97, 2] (w:1, o:207, a:1, s:1, b:0),
% 0.84/1.24 hAPP_pname_a [98, 2] (w:1, o:209, a:1, s:1, b:0),
% 0.84/1.24 hAPP_pname_bool [99, 2] (w:1, o:210, a:1, s:1, b:0),
% 0.84/1.24 hAPP_p1534023578a_bool [100, 2] (w:1, o:211, a:1, s:1, b:0),
% 0.84/1.24 hAPP_p61793385e_bool [101, 2] (w:1, o:212, a:1, s:1, b:0),
% 0.84/1.24 hAPP_p338031245l_bool [102, 2] (w:1, o:213, a:1, s:1, b:0),
% 0.84/1.24 hAPP_bool_bool [103, 2] (w:1, o:215, a:1, s:1, b:0),
% 0.84/1.24 hAPP_nat_bool [104, 2] (w:1, o:216, a:1, s:1, b:0),
% 0.84/1.24 hAPP_nat_fun_a_bool [105, 2] (w:1, o:217, a:1, s:1, b:0),
% 0.84/1.24 hAPP_n1025906991e_bool [106, 2] (w:1, o:218, a:1, s:1, b:0),
% 0.84/1.24 hAPP_fun_a_bool_bool [107, 2] (w:1, o:219, a:1, s:1, b:0),
% 0.84/1.24 hAPP_f2050579477a_bool [108, 2] (w:1, o:238, a:1, s:1, b:0),
% 0.84/1.24 hAPP_f1631501043l_bool [109, 2] (w:1, o:220, a:1, s:1, b:0),
% 0.84/1.24 hAPP_f1664156314l_bool [110, 2] (w:1, o:221, a:1, s:1, b:0),
% 0.84/1.24 hAPP_f759274231e_bool [111, 2] (w:1, o:246, a:1, s:1, b:0),
% 0.84/1.24 hAPP_f434788991l_bool [112, 2] (w:1, o:251, a:1, s:1, b:0),
% 0.84/1.24 hAPP_f54304608l_bool [113, 2] (w:1, o:252, a:1, s:1, b:0),
% 0.84/1.24 hAPP_f621171935l_bool [114, 2] (w:1, o:244, a:1, s:1, b:0),
% 0.84/1.24 hAPP_f2117159681l_bool [115, 2] (w:1, o:253, a:1, s:1, b:0),
% 0.84/1.24 hAPP_f1935102916l_bool [116, 2] (w:1, o:222, a:1, s:1, b:0),
% 0.84/1.24 hAPP_f559147733l_bool [117, 2] (w:1, o:239, a:1, s:1, b:0),
% 0.84/1.24 hAPP_f1637334154l_bool [118, 2] (w:1, o:223, a:1, s:1, b:0),
% 0.84/1.24 hAPP_f292226953l_bool [119, 2] (w:1, o:254, a:1, s:1, b:0),
% 0.84/1.24 hAPP_f389811538l_bool [120, 2] (w:1, o:250, a:1, s:1, b:0),
% 0.84/1.24 hAPP_f937997336l_bool [121, 2] (w:1, o:257, a:1, s:1, b:0),
% 0.84/1.24 hAPP_f1363661463l_bool [122, 2] (w:1, o:227, a:1, s:1, b:0),
% 0.84/1.24 hAPP_f595608956l_bool [123, 2] (w:1, o:240, a:1, s:1, b:0),
% 0.84/1.24 hAPP_f1295398978l_bool [124, 2] (w:1, o:224, a:1, s:1, b:0),
% 0.84/1.24 g [125, 0] (w:1, o:57, a:1, s:1, b:0),
% 0.84/1.24 p [126, 1] (w:1, o:132, a:1, s:1, b:0),
% 0.84/1.24 u [127, 0] (w:1, o:58, a:1, s:1, b:0),
% 0.84/1.24 pn [128, 0] (w:1, o:59, a:1, s:1, b:0),
% 0.84/1.24 ord_le1311769555a_bool [131, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.84/1.24 hBOOL [132, 1] (w:1, o:113, a:1, s:1, b:0),
% 0.84/1.24 finite_finite_nat [134, 0] (w:1, o:29, a:1, s:1, b:0),
% 0.84/1.24 finite2012431853t_bool [135, 0] (w:1, o:38, a:1, s:1, b:0),
% 0.84/1.24 ord_le1568362934t_bool [136, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.84/1.24 cOMBC_1693257480l_bool [137, 1] (w:1, o:133, a:1, s:1, b:0),
% 0.84/1.24 hAPP_f103356543l_bool [138, 2] (w:1, o:228, a:1, s:1, b:0),
% 0.84/1.24 collect_fun_nat_bool [139, 1] (w:1, o:134, a:1, s:1, b:0),
% 0.84/1.24 finite595471783e_bool [140, 0] (w:1, o:39, a:1, s:1, b:0),
% 0.84/1.24 ord_le313189616e_bool [141, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.84/1.24 cOMBC_1284144636l_bool [142, 1] (w:1, o:136, a:1, s:1, b:0),
% 0.84/1.24 finite347923420a_bool [143, 0] (w:1, o:42, a:1, s:1, b:0),
% 0.84/1.24 cOMBC_1732670874l_bool [144, 1] (w:1, o:137, a:1, s:1, b:0),
% 0.84/1.24 finite1701474069l_bool [145, 0] (w:1, o:31, a:1, s:1, b:0),
% 0.84/1.24 finite719726885l_bool [146, 0] (w:1, o:43, a:1, s:1, b:0),
% 0.84/1.24 ord_le65145710l_bool [147, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.84/1.24 cOMBC_1269652216l_bool [148, 1] (w:1, o:138, a:1, s:1, b:0),
% 0.84/1.24 hAPP_f760187903l_bool [149, 2] (w:1, o:258, a:1, s:1, b:0),
% 0.84/1.24 collec1874991203l_bool [150, 1] (w:1, o:129, a:1, s:1, b:0),
% 0.84/1.24 finite786885583l_bool [151, 0] (w:1, o:44, a:1, s:1, b:0),
% 0.84/1.24 finite1491191519l_bool [152, 0] (w:1, o:37, a:1, s:1, b:0),
% 0.84/1.24 ord_le1375671464l_bool [153, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.84/1.24 cOMBC_336095980l_bool [154, 1] (w:1, o:144, a:1, s:1, b:0),
% 0.84/1.24 hAPP_f1759205631l_bool [155, 2] (w:1, o:231, a:1, s:1, b:0),
% 0.84/1.24 collec792590109l_bool [156, 1] (w:1, o:145, a:1, s:1, b:0),
% 0.84/1.24 finite1381704300l_bool [157, 0] (w:1, o:32, a:1, s:1, b:0),
% 0.84/1.24 finite1343359508l_bool [158, 0] (w:1, o:33, a:1, s:1, b:0),
% 0.84/1.24 ord_le967226251l_bool [159, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.84/1.24 cOMBC_636888218l_bool [160, 1] (w:1, o:147, a:1, s:1, b:0),
% 0.84/1.24 hAPP_f1050622307l_bool [161, 2] (w:1, o:232, a:1, s:1, b:0),
% 0.84/1.24 collec1635217238l_bool [162, 1] (w:1, o:148, a:1, s:1, b:0),
% 0.84/1.24 ord_le1375614389l_bool [163, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.84/1.24 cOMBC_331553030l_bool [164, 1] (w:1, o:149, a:1, s:1, b:0),
% 0.84/1.24 hAPP_f1434722111l_bool [165, 2] (w:1, o:233, a:1, s:1, b:0),
% 0.84/1.24 collec707592106l_bool [166, 1] (w:1, o:150, a:1, s:1, b:0),
% 0.84/1.24 ord_le675606854l_bool [167, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.84/1.24 cOMBC_7971162l_bool [168, 1] (w:1, o:151, a:1, s:1, b:0),
% 0.84/1.24 hAPP_f510955609l_bool [169, 2] (w:1, o:241, a:1, s:1, b:0),
% 0.84/1.24 collec1613912337l_bool [170, 1] (w:1, o:152, a:1, s:1, b:0),
% 0.84/1.24 ord_le1454342156l_bool [171, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.84/1.24 cOMBC_595898202l_bool [172, 1] (w:1, o:146, a:1, s:1, b:0),
% 0.84/1.24 hAPP_f1772781669l_bool [173, 2] (w:1, o:234, a:1, s:1, b:0),
% 0.84/1.24 collec1015864663l_bool [174, 1] (w:1, o:153, a:1, s:1, b:0),
% 0.84/1.24 image_2089570637ol_nat [177, 2] (w:1, o:281, a:1, s:1, b:0),
% 0.84/1.24 image_1079571347ol_nat [178, 2] (w:1, o:271, a:1, s:1, b:0),
% 0.84/1.24 image_1802975832ol_nat [179, 2] (w:1, o:273, a:1, s:1, b:0),
% 0.84/1.24 image_fun_a_bool_nat [180, 2] (w:1, o:302, a:1, s:1, b:0),
% 0.84/1.24 image_1551609309ol_nat [181, 2] (w:1, o:275, a:1, s:1, b:0),
% 0.84/1.24 image_496248727ol_nat [182, 2] (w:1, o:298, a:1, s:1, b:0),
% 0.84/1.24 image_a_nat [183, 2] (w:1, o:303, a:1, s:1, b:0),
% 0.84/1.24 image_1607900221l_bool [184, 2] (w:1, o:276, a:1, s:1, b:0),
% 0.84/1.24 image_1874789623l_bool [185, 2] (w:1, o:277, a:1, s:1, b:0),
% 0.84/1.24 image_1208015684l_bool [186, 2] (w:1, o:279, a:1, s:1, b:0),
% 0.84/1.24 image_26036933t_bool [187, 2] (w:1, o:282, a:1, s:1, b:0),
% 0.84/1.24 image_1154884483l_bool [188, 2] (w:1, o:278, a:1, s:1, b:0),
% 0.84/1.24 image_1642285373l_bool [189, 2] (w:1, o:280, a:1, s:1, b:0),
% 0.84/1.24 image_1420695166l_bool [190, 2] (w:1, o:274, a:1, s:1, b:0),
% 1.34/1.70 image_2129980159t_bool [191, 2] (w:1, o:283, a:1, s:1, b:0),
% 1.34/1.70 image_pname_nat [192, 2] (w:1, o:304, a:1, s:1, b:0),
% 1.34/1.70 insert_nat [194, 2] (w:1, o:309, a:1, s:1, b:0),
% 1.34/1.70 insert2003652156l_bool [195, 2] (w:1, o:312, a:1, s:1, b:0),
% 1.34/1.70 insert1117693814l_bool [196, 2] (w:1, o:310, a:1, s:1, b:0),
% 1.34/1.70 insert1457093509l_bool [197, 2] (w:1, o:311, a:1, s:1, b:0),
% 1.34/1.70 insert_fun_nat_bool [198, 2] (w:1, o:313, a:1, s:1, b:0),
% 1.34/1.70 ord_less_eq_nat [200, 0] (w:1, o:26, a:1, s:1, b:0),
% 1.34/1.70 finite_card_nat [201, 0] (w:1, o:45, a:1, s:1, b:0),
% 1.34/1.70 hAPP_f22106695ol_nat [202, 2] (w:1, o:247, a:1, s:1, b:0),
% 1.34/1.70 hAPP_n1699378549t_bool [203, 2] (w:1, o:259, a:1, s:1, b:0),
% 1.34/1.70 finite_card_pname [204, 0] (w:1, o:46, a:1, s:1, b:0),
% 1.34/1.70 hAPP_f921600141ol_nat [205, 2] (w:1, o:256, a:1, s:1, b:0),
% 1.34/1.70 finite_card_a [206, 0] (w:1, o:47, a:1, s:1, b:0),
% 1.34/1.70 hAPP_fun_a_bool_nat [207, 2] (w:1, o:260, a:1, s:1, b:0),
% 1.34/1.70 finite346522414t_bool [208, 0] (w:1, o:41, a:1, s:1, b:0),
% 1.34/1.70 hAPP_f696928925ol_nat [209, 2] (w:1, o:245, a:1, s:1, b:0),
% 1.34/1.70 finite1340463720e_bool [210, 0] (w:1, o:34, a:1, s:1, b:0),
% 1.34/1.70 hAPP_f55526627ol_nat [211, 2] (w:1, o:242, a:1, s:1, b:0),
% 1.34/1.70 finite1306199131a_bool [212, 0] (w:1, o:35, a:1, s:1, b:0),
% 1.34/1.70 hAPP_f2009550088ol_nat [213, 2] (w:1, o:248, a:1, s:1, b:0),
% 1.34/1.70 finite1352710292l_bool [214, 0] (w:1, o:36, a:1, s:1, b:0),
% 1.34/1.70 hAPP_f1690079119ol_nat [215, 2] (w:1, o:229, a:1, s:1, b:0),
% 1.34/1.70 finite269641166l_bool [216, 0] (w:1, o:40, a:1, s:1, b:0),
% 1.34/1.70 hAPP_f98387925ol_nat [217, 2] (w:1, o:261, a:1, s:1, b:0),
% 1.34/1.70 finite1659325229l_bool [218, 0] (w:1, o:30, a:1, s:1, b:0),
% 1.34/1.70 hAPP_f1253658590ol_nat [219, 2] (w:1, o:226, a:1, s:1, b:0),
% 1.34/1.70 member_fun_nat_bool [222, 0] (w:1, o:68, a:1, s:1, b:0),
% 1.34/1.70 hAPP_f1951378235l_bool [223, 2] (w:1, o:235, a:1, s:1, b:0),
% 1.34/1.70 suc [224, 0] (w:1, o:69, a:1, s:1, b:0),
% 1.34/1.70 hAPP_nat_nat [225, 2] (w:1, o:262, a:1, s:1, b:0),
% 1.34/1.70 member799430823e_bool [226, 0] (w:1, o:70, a:1, s:1, b:0),
% 1.34/1.70 hAPP_f556039215l_bool [227, 2] (w:1, o:243, a:1, s:1, b:0),
% 1.34/1.70 member_fun_a_bool [228, 0] (w:1, o:71, a:1, s:1, b:0),
% 1.34/1.70 hAPP_f285962445l_bool [229, 2] (w:1, o:249, a:1, s:1, b:0),
% 1.34/1.70 member_nat [230, 0] (w:1, o:72, a:1, s:1, b:0),
% 1.34/1.70 hAPP_n215258509l_bool [231, 2] (w:1, o:264, a:1, s:1, b:0),
% 1.34/1.70 member_pname [232, 0] (w:1, o:73, a:1, s:1, b:0),
% 1.34/1.70 member_a [233, 0] (w:1, o:74, a:1, s:1, b:0),
% 1.34/1.70 fconj [236, 0] (w:1, o:48, a:1, s:1, b:0),
% 1.34/1.70 cOMBB_444170502t_bool [237, 2] (w:1, o:315, a:1, s:1, b:0),
% 1.34/1.70 cOMBS_1187019125l_bool [238, 2] (w:1, o:316, a:1, s:1, b:0),
% 1.34/1.70 cOMBB_2095475776e_bool [239, 2] (w:1, o:196, a:1, s:1, b:0),
% 1.34/1.70 cOMBB_338059395a_bool [240, 2] (w:1, o:314, a:1, s:1, b:0),
% 1.34/1.70 cOMBB_1972296269bool_a [241, 2] (w:1, o:194, a:1, s:1, b:0),
% 1.34/1.70 cOMBB_675860798_pname [242, 2] (w:1, o:317, a:1, s:1, b:0),
% 1.34/1.70 collect_nat [243, 1] (w:1, o:154, a:1, s:1, b:0),
% 1.34/1.70 cOMBB_1015721476ol_nat [244, 2] (w:1, o:195, a:1, s:1, b:0),
% 1.34/1.70 cOMBS_nat_bool_bool [245, 2] (w:1, o:318, a:1, s:1, b:0),
% 1.34/1.70 minus_minus_nat [248, 1] (w:1, o:155, a:1, s:1, b:0),
% 1.34/1.70 cOMBC_nat_nat_bool [250, 1] (w:1, o:156, a:1, s:1, b:0),
% 1.34/1.70 fdisj [259, 0] (w:1, o:49, a:1, s:1, b:0),
% 1.34/1.70 cOMBC_1058051404l_bool [266, 1] (w:1, o:157, a:1, s:1, b:0),
% 1.34/1.70 fequal_a [267, 0] (w:1, o:50, a:1, s:1, b:0),
% 1.34/1.70 cOMBB_1897541054_pname [268, 2] (w:1, o:193, a:1, s:1, b:0),
% 1.34/1.70 cOMBC_pname_a_bool [269, 1] (w:1, o:158, a:1, s:1, b:0),
% 1.34/1.70 fequal_nat [272, 0] (w:1, o:51, a:1, s:1, b:0),
% 1.34/1.70 cOMBC_226598744l_bool [273, 1] (w:1, o:143, a:1, s:1, b:0),
% 1.34/1.70 hAPP_f800510211t_bool [274, 2] (w:1, o:255, a:1, s:1, b:0),
% 1.34/1.70 fequal_pname [275, 0] (w:1, o:52, a:1, s:1, b:0),
% 1.34/1.70 cOMBC_1149511130e_bool [276, 1] (w:1, o:135, a:1, s:1, b:0),
% 1.34/1.70 cOMBC_a_a_bool [277, 1] (w:1, o:159, a:1, s:1, b:0),
% 1.34/1.70 cOMBC_1355376034l_bool [278, 1] (w:1, o:140, a:1, s:1, b:0),
% 1.34/1.70 fequal_fun_nat_bool [279, 0] (w:1, o:53, a:1, s:1, b:0),
% 1.34/1.70 cOMBC_1245412066l_bool [280, 1] (w:1, o:139, a:1, s:1, b:0),
% 6.94/7.29 hAPP_f1246832597l_bool [281, 2] (w:1, o:225, a:1, s:1, b:0),
% 6.94/7.29 fequal533582459e_bool [282, 0] (w:1, o:54, a:1, s:1, b:0),
% 6.94/7.29 cOMBC_1988546018l_bool [283, 1] (w:1, o:142, a:1, s:1, b:0),
% 6.94/7.29 fequal_fun_a_bool [284, 0] (w:1, o:55, a:1, s:1, b:0),
% 6.94/7.29 cOMBC_1880041174l_bool [285, 1] (w:1, o:141, a:1, s:1, b:0),
% 6.94/7.29 fimplies [286, 0] (w:1, o:12, a:1, s:1, b:0),
% 6.94/7.29 fNot [287, 0] (w:1, o:56, a:1, s:1, b:0),
% 6.94/7.29 cOMBB_bool_bool_nat [288, 2] (w:1, o:319, a:1, s:1, b:0),
% 6.94/7.29 cOMBB_238756964t_bool [289, 2] (w:1, o:198, a:1, s:1, b:0),
% 6.94/7.29 hAPP_b589554111l_bool [303, 2] (w:1, o:265, a:1, s:1, b:0),
% 6.94/7.29 hAPP_a_fun_bool_bool [305, 2] (w:1, o:214, a:1, s:1, b:0),
% 6.94/7.29 hAPP_n1006566506l_bool [306, 2] (w:1, o:263, a:1, s:1, b:0),
% 6.94/7.29 hAPP_p393069232l_bool [307, 2] (w:1, o:266, a:1, s:1, b:0),
% 6.94/7.29 hAPP_f198738859l_bool [308, 2] (w:1, o:236, a:1, s:1, b:0),
% 6.94/7.29 hAPP_f1748468828l_bool [309, 2] (w:1, o:230, a:1, s:1, b:0),
% 6.94/7.29 hAPP_f1476298914l_bool [310, 2] (w:1, o:237, a:1, s:1, b:0),
% 6.94/7.29 mgt_call [311, 0] (w:1, o:107, a:1, s:1, b:0),
% 6.94/7.29 na [312, 0] (w:1, o:16, a:1, s:1, b:0),
% 6.94/7.29 alpha1 [313, 4] (w:1, o:331, a:1, s:1, b:1),
% 6.94/7.29 alpha2 [314, 4] (w:1, o:332, a:1, s:1, b:1),
% 6.94/7.29 alpha3 [315, 2] (w:1, o:320, a:1, s:1, b:1),
% 6.94/7.29 skol1 [316, 3] (w:1, o:326, a:1, s:1, b:1),
% 6.94/7.29 skol2 [317, 1] (w:1, o:163, a:1, s:1, b:1),
% 6.94/7.29 skol3 [318, 1] (w:1, o:164, a:1, s:1, b:1),
% 6.94/7.29 skol4 [319, 1] (w:1, o:165, a:1, s:1, b:1),
% 6.94/7.29 skol5 [320, 1] (w:1, o:166, a:1, s:1, b:1),
% 6.94/7.29 skol6 [321, 2] (w:1, o:321, a:1, s:1, b:1),
% 6.94/7.29 skol7 [322, 3] (w:1, o:327, a:1, s:1, b:1),
% 6.94/7.29 skol8 [323, 3] (w:1, o:328, a:1, s:1, b:1),
% 6.94/7.29 skol9 [324, 3] (w:1, o:329, a:1, s:1, b:1),
% 6.94/7.29 skol10 [325, 2] (w:1, o:322, a:1, s:1, b:1),
% 6.94/7.29 skol11 [326, 2] (w:1, o:323, a:1, s:1, b:1),
% 6.94/7.29 skol12 [327, 2] (w:1, o:324, a:1, s:1, b:1),
% 6.94/7.29 skol13 [328, 1] (w:1, o:160, a:1, s:1, b:1),
% 6.94/7.29 skol14 [329, 1] (w:1, o:161, a:1, s:1, b:1),
% 6.94/7.29 skol15 [330, 3] (w:1, o:330, a:1, s:1, b:1),
% 6.94/7.29 skol16 [331, 1] (w:1, o:162, a:1, s:1, b:1),
% 6.94/7.29 skol17 [332, 2] (w:1, o:325, a:1, s:1, b:1).
% 6.94/7.29
% 6.94/7.29
% 6.94/7.29 Starting Search:
% 6.94/7.29
% 6.94/7.29 *** allocated 50625 integers for clauses
% 6.94/7.29 *** allocated 75937 integers for clauses
% 6.94/7.29 Resimplifying inuse:
% 6.94/7.29 Done
% 6.94/7.29
% 6.94/7.29 *** allocated 113905 integers for clauses
% 6.94/7.29 *** allocated 50625 integers for termspace/termends
% 6.94/7.29 *** allocated 170857 integers for clauses
% 6.94/7.29
% 6.94/7.29 Intermediate Status:
% 6.94/7.29 Generated: 2220
% 6.94/7.29 Kept: 2050
% 6.94/7.29 Inuse: 168
% 6.94/7.29 Deleted: 3
% 6.94/7.29 Deletedinuse: 0
% 6.94/7.29
% 6.94/7.29 Resimplifying inuse:
% 6.94/7.29 Done
% 6.94/7.29
% 6.94/7.29 *** allocated 256285 integers for clauses
% 6.94/7.29 Resimplifying inuse:
% 6.94/7.29 Done
% 6.94/7.29
% 6.94/7.29 *** allocated 75937 integers for termspace/termends
% 6.94/7.29 *** allocated 384427 integers for clauses
% 6.94/7.29
% 6.94/7.29 Intermediate Status:
% 6.94/7.29 Generated: 4269
% 6.94/7.29 Kept: 4056
% 6.94/7.29 Inuse: 334
% 6.94/7.29 Deleted: 4
% 6.94/7.29 Deletedinuse: 0
% 6.94/7.29
% 6.94/7.29 Resimplifying inuse:
% 6.94/7.29 Done
% 6.94/7.29
% 6.94/7.29 Resimplifying inuse:
% 6.94/7.29 Done
% 6.94/7.29
% 6.94/7.29 *** allocated 576640 integers for clauses
% 6.94/7.29
% 6.94/7.29 Intermediate Status:
% 6.94/7.29 Generated: 6305
% 6.94/7.29 Kept: 6067
% 6.94/7.29 Inuse: 523
% 6.94/7.29 Deleted: 4
% 6.94/7.29 Deletedinuse: 0
% 6.94/7.29
% 6.94/7.29 Resimplifying inuse:
% 6.94/7.29 Done
% 6.94/7.29
% 6.94/7.29 *** allocated 113905 integers for termspace/termends
% 6.94/7.29 Resimplifying inuse:
% 6.94/7.29 Done
% 6.94/7.29
% 6.94/7.29 *** allocated 170857 integers for termspace/termends
% 6.94/7.29
% 6.94/7.29 Intermediate Status:
% 6.94/7.29 Generated: 11458
% 6.94/7.29 Kept: 8552
% 6.94/7.29 Inuse: 602
% 6.94/7.29 Deleted: 4
% 6.94/7.29 Deletedinuse: 0
% 6.94/7.29
% 6.94/7.29 Resimplifying inuse:
% 6.94/7.29 Done
% 6.94/7.29
% 6.94/7.29 *** allocated 256285 integers for termspace/termends
% 6.94/7.29 *** allocated 864960 integers for clauses
% 6.94/7.29 Resimplifying inuse:
% 6.94/7.29 Done
% 6.94/7.29
% 6.94/7.29 *** allocated 384427 integers for termspace/termends
% 6.94/7.29
% 6.94/7.29 Intermediate Status:
% 6.94/7.29 Generated: 23640
% 6.94/7.29 Kept: 11650
% 6.94/7.29 Inuse: 612
% 6.94/7.29 Deleted: 4
% 6.94/7.29 Deletedinuse: 0
% 6.94/7.29
% 6.94/7.29 Resimplifying inuse:
% 6.94/7.29 Done
% 6.94/7.29
% 6.94/7.29 Resimplifying inuse:
% 6.94/7.29 Done
% 6.94/7.29
% 6.94/7.29 *** allocated 576640 integers for termspace/termends
% 6.94/7.29
% 6.94/7.29 Intermediate Status:
% 6.94/7.29 Generated: 37026
% 6.94/7.29 Kept: 14919
% 6.94/7.29 Inuse: 622
% 6.94/7.29 Deleted: 4
% 6.94/7.29 Deletedinuse: 0
% 6.94/7.29
% 6.94/7.29 Resimplifying inuse:
% 6.94/7.29 Done
% 6.94/7.29
% 6.94/7.29 *** allocated 1297440 integers for clauses
% 6.94/7.29 Resimplifying inuse:
% 6.94/7.29 Done
% 6.94/7.29
% 6.94/7.29
% 6.94/7.29 Intermediate Status:
% 6.94/7.29 Generated: 43118
% 6.94/7.29 Kept: 16926
% 6.94/7.29 Inuse: 638
% 6.94/7.29 Deleted: 4
% 26.07/26.47 Deletedinuse: 0
% 26.07/26.47
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47 *** allocated 864960 integers for termspace/termends
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47
% 26.07/26.47 Intermediate Status:
% 26.07/26.47 Generated: 49311
% 26.07/26.47 Kept: 19024
% 26.07/26.47 Inuse: 701
% 26.07/26.47 Deleted: 5
% 26.07/26.47 Deletedinuse: 0
% 26.07/26.47
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47 Resimplifying clauses:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47
% 26.07/26.47 Intermediate Status:
% 26.07/26.47 Generated: 55354
% 26.07/26.47 Kept: 21044
% 26.07/26.47 Inuse: 773
% 26.07/26.47 Deleted: 36
% 26.07/26.47 Deletedinuse: 0
% 26.07/26.47
% 26.07/26.47
% 26.07/26.47 Intermediate Status:
% 26.07/26.47 Generated: 63702
% 26.07/26.47 Kept: 23723
% 26.07/26.47 Inuse: 774
% 26.07/26.47 Deleted: 36
% 26.07/26.47 Deletedinuse: 0
% 26.07/26.47
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47 *** allocated 1946160 integers for clauses
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47
% 26.07/26.47 Intermediate Status:
% 26.07/26.47 Generated: 80351
% 26.07/26.47 Kept: 27450
% 26.07/26.47 Inuse: 795
% 26.07/26.47 Deleted: 36
% 26.07/26.47 Deletedinuse: 0
% 26.07/26.47
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47 *** allocated 1297440 integers for termspace/termends
% 26.07/26.47
% 26.07/26.47 Intermediate Status:
% 26.07/26.47 Generated: 87611
% 26.07/26.47 Kept: 29529
% 26.07/26.47 Inuse: 849
% 26.07/26.47 Deleted: 36
% 26.07/26.47 Deletedinuse: 0
% 26.07/26.47
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47
% 26.07/26.47 Intermediate Status:
% 26.07/26.47 Generated: 94389
% 26.07/26.47 Kept: 31547
% 26.07/26.47 Inuse: 914
% 26.07/26.47 Deleted: 36
% 26.07/26.47 Deletedinuse: 0
% 26.07/26.47
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47
% 26.07/26.47 Intermediate Status:
% 26.07/26.47 Generated: 101417
% 26.07/26.47 Kept: 33653
% 26.07/26.47 Inuse: 944
% 26.07/26.47 Deleted: 36
% 26.07/26.47 Deletedinuse: 0
% 26.07/26.47
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47
% 26.07/26.47 Intermediate Status:
% 26.07/26.47 Generated: 118840
% 26.07/26.47 Kept: 36665
% 26.07/26.47 Inuse: 989
% 26.07/26.47 Deleted: 36
% 26.07/26.47 Deletedinuse: 0
% 26.07/26.47
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47 *** allocated 2919240 integers for clauses
% 26.07/26.47
% 26.07/26.47 Intermediate Status:
% 26.07/26.47 Generated: 126083
% 26.07/26.47 Kept: 38802
% 26.07/26.47 Inuse: 1034
% 26.07/26.47 Deleted: 39
% 26.07/26.47 Deletedinuse: 1
% 26.07/26.47
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47 Resimplifying clauses:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47
% 26.07/26.47 Intermediate Status:
% 26.07/26.47 Generated: 130521
% 26.07/26.47 Kept: 40863
% 26.07/26.47 Inuse: 1047
% 26.07/26.47 Deleted: 281
% 26.07/26.47 Deletedinuse: 1
% 26.07/26.47
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47
% 26.07/26.47 Intermediate Status:
% 26.07/26.47 Generated: 134791
% 26.07/26.47 Kept: 42976
% 26.07/26.47 Inuse: 1057
% 26.07/26.47 Deleted: 281
% 26.07/26.47 Deletedinuse: 1
% 26.07/26.47
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47 *** allocated 1946160 integers for termspace/termends
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47
% 26.07/26.47 Intermediate Status:
% 26.07/26.47 Generated: 138978
% 26.07/26.47 Kept: 45121
% 26.07/26.47 Inuse: 1072
% 26.07/26.47 Deleted: 281
% 26.07/26.47 Deletedinuse: 1
% 26.07/26.47
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47
% 26.07/26.47 Intermediate Status:
% 26.07/26.47 Generated: 151194
% 26.07/26.47 Kept: 47669
% 26.07/26.47 Inuse: 1082
% 26.07/26.47 Deleted: 281
% 26.07/26.47 Deletedinuse: 1
% 26.07/26.47
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47
% 26.07/26.47 Intermediate Status:
% 26.07/26.47 Generated: 176354
% 26.07/26.47 Kept: 50916
% 26.07/26.47 Inuse: 1092
% 26.07/26.47 Deleted: 281
% 26.07/26.47 Deletedinuse: 1
% 26.07/26.47
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47
% 26.07/26.47 Intermediate Status:
% 26.07/26.47 Generated: 195171
% 26.07/26.47 Kept: 56004
% 26.07/26.47 Inuse: 1142
% 26.07/26.47 Deleted: 281
% 26.07/26.47 Deletedinuse: 1
% 26.07/26.47
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47 *** allocated 4378860 integers for clauses
% 26.07/26.47
% 26.07/26.47 Intermediate Status:
% 26.07/26.47 Generated: 208866
% 26.07/26.47 Kept: 59177
% 26.07/26.47 Inuse: 1147
% 26.07/26.47 Deleted: 281
% 26.07/26.47 Deletedinuse: 1
% 26.07/26.47
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47 *** allocated 2919240 integers for termspace/termends
% 26.07/26.47
% 26.07/26.47 Intermediate Status:
% 26.07/26.47 Generated: 222834
% 26.07/26.47 Kept: 62588
% 26.07/26.47 Inuse: 1152
% 26.07/26.47 Deleted: 281
% 26.07/26.47 Deletedinuse: 1
% 26.07/26.47
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47 Resimplifying clauses:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47
% 26.07/26.47 Intermediate Status:
% 26.07/26.47 Generated: 229928
% 26.07/26.47 Kept: 64708
% 26.07/26.47 Inuse: 1182
% 26.07/26.47 Deleted: 292
% 26.07/26.47 Deletedinuse: 1
% 26.07/26.47
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47
% 26.07/26.47 Intermediate Status:
% 26.07/26.47 Generated: 236497
% 26.07/26.47 Kept: 66792
% 26.07/26.47 Inuse: 1207
% 26.07/26.47 Deleted: 293
% 26.07/26.47 Deletedinuse: 1
% 26.07/26.47
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47
% 26.07/26.47 Intermediate Status:
% 26.07/26.47 Generated: 253520
% 26.07/26.47 Kept: 72059
% 26.07/26.47 Inuse: 1241
% 26.07/26.47 Deleted: 293
% 26.07/26.47 Deletedinuse: 1
% 26.07/26.47
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47
% 26.07/26.47 Intermediate Status:
% 26.07/26.47 Generated: 269756
% 26.07/26.47 Kept: 75929
% 26.07/26.47 Inuse: 1256
% 26.07/26.47 Deleted: 293
% 26.07/26.47 Deletedinuse: 1
% 26.07/26.47
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47
% 26.07/26.47 Intermediate Status:
% 26.07/26.47 Generated: 286436
% 26.07/26.47 Kept: 79763
% 26.07/26.47 Inuse: 1271
% 26.07/26.47 Deleted: 293
% 26.07/26.47 Deletedinuse: 1
% 26.07/26.47
% 26.07/26.47 Resimplifying inuse:
% 26.07/26.47 Done
% 26.07/26.47
% 26.07/26.47
% 26.07/26.47 Intermediate Status:
% 26.07/26.47 Generated: 303452
% 26.07/26.47 Kept: 82081
% 26.07/26.47 Inuse: 1286
% 26.07/26.47 Deleted: 293
% 35.59/35.96 Deletedinuse: 1
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96
% 35.59/35.96 Intermediate Status:
% 35.59/35.96 Generated: 322544
% 35.59/35.96 Kept: 84277
% 35.59/35.96 Inuse: 1296
% 35.59/35.96 Deleted: 293
% 35.59/35.96 Deletedinuse: 1
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96 Resimplifying clauses:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96
% 35.59/35.96 Intermediate Status:
% 35.59/35.96 Generated: 342891
% 35.59/35.96 Kept: 86516
% 35.59/35.96 Inuse: 1306
% 35.59/35.96 Deleted: 370
% 35.59/35.96 Deletedinuse: 1
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96
% 35.59/35.96 Intermediate Status:
% 35.59/35.96 Generated: 354420
% 35.59/35.96 Kept: 88547
% 35.59/35.96 Inuse: 1346
% 35.59/35.96 Deleted: 387
% 35.59/35.96 Deletedinuse: 18
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96 *** allocated 6568290 integers for clauses
% 35.59/35.96
% 35.59/35.96 Intermediate Status:
% 35.59/35.96 Generated: 362853
% 35.59/35.96 Kept: 90594
% 35.59/35.96 Inuse: 1381
% 35.59/35.96 Deleted: 387
% 35.59/35.96 Deletedinuse: 18
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96 *** allocated 4378860 integers for termspace/termends
% 35.59/35.96
% 35.59/35.96 Intermediate Status:
% 35.59/35.96 Generated: 374852
% 35.59/35.96 Kept: 97188
% 35.59/35.96 Inuse: 1411
% 35.59/35.96 Deleted: 390
% 35.59/35.96 Deletedinuse: 21
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96
% 35.59/35.96 Intermediate Status:
% 35.59/35.96 Generated: 382951
% 35.59/35.96 Kept: 99426
% 35.59/35.96 Inuse: 1441
% 35.59/35.96 Deleted: 390
% 35.59/35.96 Deletedinuse: 21
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96
% 35.59/35.96 Intermediate Status:
% 35.59/35.96 Generated: 391307
% 35.59/35.96 Kept: 101433
% 35.59/35.96 Inuse: 1466
% 35.59/35.96 Deleted: 390
% 35.59/35.96 Deletedinuse: 21
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96
% 35.59/35.96 Intermediate Status:
% 35.59/35.96 Generated: 400009
% 35.59/35.96 Kept: 103489
% 35.59/35.96 Inuse: 1491
% 35.59/35.96 Deleted: 390
% 35.59/35.96 Deletedinuse: 21
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96 Resimplifying clauses:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96
% 35.59/35.96 Intermediate Status:
% 35.59/35.96 Generated: 409822
% 35.59/35.96 Kept: 105645
% 35.59/35.96 Inuse: 1521
% 35.59/35.96 Deleted: 861
% 35.59/35.96 Deletedinuse: 21
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96
% 35.59/35.96 Intermediate Status:
% 35.59/35.96 Generated: 419794
% 35.59/35.96 Kept: 107703
% 35.59/35.96 Inuse: 1556
% 35.59/35.96 Deleted: 868
% 35.59/35.96 Deletedinuse: 28
% 35.59/35.96
% 35.59/35.96
% 35.59/35.96 Intermediate Status:
% 35.59/35.96 Generated: 427115
% 35.59/35.96 Kept: 113390
% 35.59/35.96 Inuse: 1561
% 35.59/35.96 Deleted: 868
% 35.59/35.96 Deletedinuse: 28
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96
% 35.59/35.96 Intermediate Status:
% 35.59/35.96 Generated: 434919
% 35.59/35.96 Kept: 115403
% 35.59/35.96 Inuse: 1587
% 35.59/35.96 Deleted: 868
% 35.59/35.96 Deletedinuse: 28
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96
% 35.59/35.96 Intermediate Status:
% 35.59/35.96 Generated: 442895
% 35.59/35.96 Kept: 117418
% 35.59/35.96 Inuse: 1613
% 35.59/35.96 Deleted: 868
% 35.59/35.96 Deletedinuse: 28
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96
% 35.59/35.96 Intermediate Status:
% 35.59/35.96 Generated: 450792
% 35.59/35.96 Kept: 119428
% 35.59/35.96 Inuse: 1637
% 35.59/35.96 Deleted: 868
% 35.59/35.96 Deletedinuse: 28
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96
% 35.59/35.96 Intermediate Status:
% 35.59/35.96 Generated: 458565
% 35.59/35.96 Kept: 121515
% 35.59/35.96 Inuse: 1661
% 35.59/35.96 Deleted: 868
% 35.59/35.96 Deletedinuse: 28
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96
% 35.59/35.96 Intermediate Status:
% 35.59/35.96 Generated: 465875
% 35.59/35.96 Kept: 123825
% 35.59/35.96 Inuse: 1681
% 35.59/35.96 Deleted: 868
% 35.59/35.96 Deletedinuse: 28
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96 Resimplifying clauses:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96
% 35.59/35.96 Intermediate Status:
% 35.59/35.96 Generated: 473117
% 35.59/35.96 Kept: 126388
% 35.59/35.96 Inuse: 1701
% 35.59/35.96 Deleted: 1199
% 35.59/35.96 Deletedinuse: 28
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96
% 35.59/35.96 Intermediate Status:
% 35.59/35.96 Generated: 478583
% 35.59/35.96 Kept: 128455
% 35.59/35.96 Inuse: 1716
% 35.59/35.96 Deleted: 1199
% 35.59/35.96 Deletedinuse: 28
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96
% 35.59/35.96 Intermediate Status:
% 35.59/35.96 Generated: 498584
% 35.59/35.96 Kept: 133094
% 35.59/35.96 Inuse: 1721
% 35.59/35.96 Deleted: 1199
% 35.59/35.96 Deletedinuse: 28
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96 *** allocated 9852435 integers for clauses
% 35.59/35.96
% 35.59/35.96 Intermediate Status:
% 35.59/35.96 Generated: 516068
% 35.59/35.96 Kept: 146075
% 35.59/35.96 Inuse: 1731
% 35.59/35.96 Deleted: 1199
% 35.59/35.96 Deletedinuse: 28
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96 Resimplifying clauses:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96
% 35.59/35.96 Intermediate Status:
% 35.59/35.96 Generated: 537992
% 35.59/35.96 Kept: 151324
% 35.59/35.96 Inuse: 1741
% 35.59/35.96 Deleted: 1201
% 35.59/35.96 Deletedinuse: 28
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96 *** allocated 6568290 integers for termspace/termends
% 35.59/35.96
% 35.59/35.96 Intermediate Status:
% 35.59/35.96 Generated: 562445
% 35.59/35.96 Kept: 157167
% 35.59/35.96 Inuse: 1756
% 35.59/35.96 Deleted: 1201
% 35.59/35.96 Deletedinuse: 28
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96
% 35.59/35.96 Intermediate Status:
% 35.59/35.96 Generated: 584027
% 35.59/35.96 Kept: 171183
% 35.59/35.96 Inuse: 1781
% 35.59/35.96 Deleted: 1201
% 35.59/35.96 Deletedinuse: 28
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96 Resimplifying clauses:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96
% 35.59/35.96 Intermediate Status:
% 35.59/35.96 Generated: 606815
% 35.59/35.96 Kept: 176323
% 35.59/35.96 Inuse: 1791
% 35.59/35.96 Deleted: 1203
% 35.59/35.96 Deletedinuse: 28
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96
% 35.59/35.96 Intermediate Status:
% 35.59/35.96 Generated: 616328
% 35.59/35.96 Kept: 178412
% 35.59/35.96 Inuse: 1826
% 35.59/35.96 Deleted: 1203
% 35.59/35.96 Deletedinuse: 28
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96
% 35.59/35.96 Intermediate Status:
% 35.59/35.96 Generated: 624895
% 35.59/35.96 Kept: 180449
% 35.59/35.96 Inuse: 1857
% 35.59/35.96 Deleted: 1203
% 35.59/35.96 Deletedinuse: 28
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96
% 35.59/35.96 Intermediate Status:
% 35.59/35.96 Generated: 633395
% 35.59/35.96 Kept: 182485
% 35.59/35.96 Inuse: 1888
% 35.59/35.96 Deleted: 1203
% 35.59/35.96 Deletedinuse: 28
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96
% 35.59/35.96 Intermediate Status:
% 35.59/35.96 Generated: 642397
% 35.59/35.96 Kept: 184521
% 35.59/35.96 Inuse: 1920
% 35.59/35.96 Deleted: 1203
% 35.59/35.96 Deletedinuse: 28
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96
% 35.59/35.96 Intermediate Status:
% 35.59/35.96 Generated: 652056
% 35.59/35.96 Kept: 186569
% 35.59/35.96 Inuse: 1951
% 35.59/35.96 Deleted: 1203
% 35.59/35.96 Deletedinuse: 28
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96
% 35.59/35.96 Intermediate Status:
% 35.59/35.96 Generated: 660601
% 35.59/35.96 Kept: 188730
% 35.59/35.96 Inuse: 1976
% 35.59/35.96 Deleted: 1204
% 35.59/35.96 Deletedinuse: 29
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96 Done
% 35.59/35.96
% 35.59/35.96
% 35.59/35.96 Intermediate Status:
% 35.59/35.96 Generated: 666955
% 35.59/35.96 Kept: 190740
% 35.59/35.96 Inuse: 1995
% 35.59/35.96 Deleted: 1204
% 35.59/35.96 Deletedinuse: 29
% 35.59/35.96
% 35.59/35.96 Resimplifying inuse:
% 35.59/35.96
% 35.59/35.96 Bliksems!, er is een bewijs:
% 35.59/35.96 % SZS status Theorem
% 35.59/35.96 % SZS output start Refutation
% 35.59/35.96
% 35.59/35.96 (278) {G0,W19,D4,L3,V4,M3} I { ! X = hAPP_pname_a( Y, Z ), ! hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, Z ), T ) ),
% 35.59/35.96 hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, X ),
% 35.59/35.96 image_pname_a( Y, T ) ) ) }.
% 35.59/35.96 (373) {G0,W20,D5,L3,V3,M3} I { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_a85458249l_bool( member_a, X ), Z ) ), ! hBOOL( hAPP_fun_a_bool_bool
% 35.59/35.96 ( hAPP_f1631501043l_bool( ord_le1311769555a_bool, Y ), Z ) ), hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool,
% 35.59/35.96 insert_a( X, Y ) ), Z ) ) }.
% 35.59/35.96 (477) {G0,W8,D4,L1,V0,M1} I { hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( ord_le1311769555a_bool, g ), image_pname_a(
% 35.59/35.96 mgt_call, u ) ) ) }.
% 35.59/35.96 (480) {G0,W6,D4,L1,V0,M1} I { hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_p338031245l_bool( member_pname, pn ), u ) ) }.
% 35.59/35.96 (482) {G0,W12,D6,L1,V0,M1} I { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( ord_le1311769555a_bool, insert_a( hAPP_pname_a(
% 35.59/35.96 mgt_call, pn ), g ) ), image_pname_a( mgt_call, u ) ) ) }.
% 35.59/35.96 (45670) {G1,W13,D4,L2,V2,M2} R(278,480) { ! X = hAPP_pname_a( Y, pn ),
% 35.59/35.96 hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, X ),
% 35.59/35.96 image_pname_a( Y, u ) ) ) }.
% 35.59/35.96 (45810) {G2,W10,D5,L1,V1,M1} Q(45670) { hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_a85458249l_bool( member_a, hAPP_pname_a( X, pn ) ), image_pname_a( X
% 35.59/35.96 , u ) ) ) }.
% 35.59/35.96 (190108) {G3,W8,D4,L1,V0,M1} R(482,373);r(45810) { ! hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool, g )
% 35.59/35.96 , image_pname_a( mgt_call, u ) ) ) }.
% 35.59/35.96 (191043) {G4,W0,D0,L0,V0,M0} S(477);r(190108) { }.
% 35.59/35.96
% 35.59/35.96
% 35.59/35.96 % SZS output end Refutation
% 35.59/35.96 found a proof!
% 35.59/35.96
% 35.59/35.96
% 35.59/35.96 Unprocessed initial clauses:
% 35.59/35.96
% 35.59/35.96 (191045) {G0,W6,D3,L2,V2,M2} { ! is_fun_a_bool( X ), is_fun_a_bool(
% 35.59/35.96 cOMBB_bool_bool_a( Y, X ) ) }.
% 35.59/35.96 (191046) {G0,W6,D3,L2,V2,M2} { ! is_fun_pname_bool( X ), is_fun_pname_bool
% 35.59/35.96 ( cOMBB_647938656_pname( Y, X ) ) }.
% 35.59/35.96 (191047) {G0,W6,D3,L2,V2,M2} { ! is_fun949378684l_bool( X ),
% 35.59/35.96 is_fun949378684l_bool( cOMBB_2140588453a_bool( Y, X ) ) }.
% 35.59/35.96 (191048) {G0,W6,D3,L2,V2,M2} { ! is_fun1661590463l_bool( X ),
% 35.59/35.96 is_fun1661590463l_bool( cOMBB_307249310e_bool( Y, X ) ) }.
% 35.59/35.96 (191049) {G0,W6,D3,L2,V2,M2} { ! is_fun_a_bool( X ), is_fun_a_bool(
% 35.59/35.96 cOMBS_a_bool_bool( Y, X ) ) }.
% 35.59/35.96 (191050) {G0,W6,D3,L2,V2,M2} { ! is_fun_pname_bool( X ), is_fun_pname_bool
% 35.59/35.96 ( cOMBS_568398431l_bool( Y, X ) ) }.
% 35.59/35.96 (191051) {G0,W6,D3,L2,V2,M2} { ! is_fun949378684l_bool( X ),
% 35.59/35.96 is_fun949378684l_bool( cOMBS_1035972772l_bool( Y, X ) ) }.
% 35.59/35.96 (191052) {G0,W6,D3,L2,V2,M2} { ! is_fun1661590463l_bool( X ),
% 35.59/35.96 is_fun1661590463l_bool( cOMBS_350070575l_bool( Y, X ) ) }.
% 35.59/35.96 (191053) {G0,W2,D2,L1,V0,M1} { is_fun949378684l_bool( finite_finite_a )
% 35.59/35.96 }.
% 35.59/35.96 (191054) {G0,W2,D2,L1,V0,M1} { is_fun1661590463l_bool( finite_finite_pname
% 35.59/35.96 ) }.
% 35.59/35.96 (191055) {G0,W3,D3,L1,V0,M1} { is_a( undefined_a( x_a ) ) }.
% 35.59/35.96 (191056) {G0,W3,D3,L1,V0,M1} { is_pname( undefined_pname( pname ) ) }.
% 35.59/35.96 (191057) {G0,W5,D4,L1,V0,M1} { is_fun_a_bool( undefined_fun_a_bool( fun(
% 35.59/35.96 x_a, bool ) ) ) }.
% 35.59/35.96 (191058) {G0,W5,D4,L1,V0,M1} { is_fun_pname_bool( undefi17486888e_bool(
% 35.59/35.96 fun( pname, bool ) ) ) }.
% 35.59/35.96 (191059) {G0,W7,D5,L1,V0,M1} { is_fun949378684l_bool(
% 35.59/35.96 undefi1699038445l_bool( fun( fun( x_a, bool ), bool ) ) ) }.
% 35.59/35.96 (191060) {G0,W7,D5,L1,V0,M1} { is_fun1661590463l_bool(
% 35.59/35.96 undefi64961550l_bool( fun( fun( pname, bool ), bool ) ) ) }.
% 35.59/35.96 (191061) {G0,W5,D3,L2,V1,M2} { ! is_fun_a_bool( X ), is_fun_a_bool(
% 35.59/35.96 collect_a( X ) ) }.
% 35.59/35.96 (191062) {G0,W5,D3,L2,V1,M2} { ! is_fun_pname_bool( X ), is_fun_pname_bool
% 35.59/35.96 ( collect_pname( X ) ) }.
% 35.59/35.96 (191063) {G0,W5,D3,L2,V1,M2} { ! is_fun949378684l_bool( X ),
% 35.59/35.96 is_fun949378684l_bool( collect_fun_a_bool( X ) ) }.
% 35.59/35.96 (191064) {G0,W5,D3,L2,V1,M2} { ! is_fun1661590463l_bool( X ),
% 35.59/35.96 is_fun1661590463l_bool( collec1974731493e_bool( X ) ) }.
% 35.59/35.96 (191065) {G0,W6,D3,L2,V2,M2} { ! is_fun_a_bool( X ), is_fun_a_bool(
% 35.59/35.96 image_a_a( Y, X ) ) }.
% 35.59/35.96 (191066) {G0,W6,D3,L2,V2,M2} { ! is_fun_a_bool( X ), is_fun_pname_bool(
% 35.59/35.96 image_a_pname( Y, X ) ) }.
% 35.59/35.96 (191067) {G0,W6,D3,L2,V2,M2} { ! is_fun_pname_bool( X ), is_fun_a_bool(
% 35.59/35.96 image_pname_a( Y, X ) ) }.
% 35.59/35.96 (191068) {G0,W6,D3,L2,V2,M2} { ! is_fun_pname_bool( X ), is_fun_pname_bool
% 35.59/35.96 ( image_pname_pname( Y, X ) ) }.
% 35.59/35.96 (191069) {G0,W6,D3,L2,V2,M2} { ! is_fun_pname_bool( X ),
% 35.59/35.96 is_fun949378684l_bool( image_112932426a_bool( Y, X ) ) }.
% 35.59/35.96 (191070) {G0,W6,D3,L2,V2,M2} { ! is_fun_pname_bool( X ),
% 35.59/35.96 is_fun1661590463l_bool( image_47868345e_bool( Y, X ) ) }.
% 35.59/35.96 (191071) {G0,W4,D3,L1,V2,M1} { is_fun_a_bool( image_nat_a( X, Y ) ) }.
% 35.59/35.96 (191072) {G0,W4,D3,L1,V2,M1} { is_fun_pname_bool( image_nat_pname( X, Y )
% 35.59/35.96 ) }.
% 35.59/35.96 (191073) {G0,W4,D3,L1,V2,M1} { is_fun949378684l_bool( image_nat_fun_a_bool
% 35.59/35.96 ( X, Y ) ) }.
% 35.59/35.96 (191074) {G0,W4,D3,L1,V2,M1} { is_fun1661590463l_bool(
% 35.59/35.96 image_1655916159e_bool( X, Y ) ) }.
% 35.59/35.96 (191075) {G0,W6,D3,L2,V2,M2} { ! is_fun949378684l_bool( X ), is_fun_a_bool
% 35.59/35.96 ( image_fun_a_bool_a( Y, X ) ) }.
% 35.59/35.96 (191076) {G0,W6,D3,L2,V2,M2} { ! is_fun949378684l_bool( X ),
% 35.59/35.96 is_fun_pname_bool( image_1854862208_pname( Y, X ) ) }.
% 35.59/35.96 (191077) {G0,W6,D3,L2,V2,M2} { ! is_fun1661590463l_bool( X ),
% 35.59/35.96 is_fun_a_bool( image_876012084bool_a( Y, X ) ) }.
% 35.59/35.96 (191078) {G0,W6,D3,L2,V2,M2} { ! is_fun1661590463l_bool( X ),
% 35.59/35.96 is_fun_pname_bool( image_1283814551_pname( Y, X ) ) }.
% 35.59/35.96 (191079) {G0,W4,D3,L1,V2,M1} { is_fun_a_bool( image_fun_nat_bool_a( X, Y )
% 35.59/35.96 ) }.
% 35.59/35.96 (191080) {G0,W4,D3,L1,V2,M1} { is_fun_pname_bool( image_1921560913_pname(
% 35.59/35.96 X, Y ) ) }.
% 35.59/35.96 (191081) {G0,W4,D3,L1,V2,M1} { is_fun_a_bool( image_573985017bool_a( X, Y
% 35.59/35.96 ) ) }.
% 35.59/35.96 (191082) {G0,W4,D3,L1,V2,M1} { is_fun_pname_bool( image_990671762_pname( X
% 35.59/35.96 , Y ) ) }.
% 35.59/35.96 (191083) {G0,W4,D3,L1,V2,M1} { is_fun_a_bool( image_349102846bool_a( X, Y
% 35.59/35.96 ) ) }.
% 35.59/35.96 (191084) {G0,W4,D3,L1,V2,M1} { is_fun_pname_bool( image_1705983821_pname(
% 35.59/35.96 X, Y ) ) }.
% 35.59/35.96 (191085) {G0,W4,D3,L1,V2,M1} { is_fun_a_bool( image_526090948bool_a( X, Y
% 35.59/35.96 ) ) }.
% 35.59/35.96 (191086) {G0,W4,D3,L1,V2,M1} { is_fun_pname_bool( image_1604018183_pname(
% 35.59/35.96 X, Y ) ) }.
% 35.59/35.96 (191087) {G0,W8,D3,L3,V2,M3} { ! is_a( X ), ! is_fun_a_bool( Y ),
% 35.59/35.96 is_fun_a_bool( insert_a( X, Y ) ) }.
% 35.59/35.96 (191088) {G0,W8,D3,L3,V2,M3} { ! is_pname( X ), ! is_fun_pname_bool( Y ),
% 35.59/35.96 is_fun_pname_bool( insert_pname( X, Y ) ) }.
% 35.59/35.96 (191089) {G0,W8,D3,L3,V2,M3} { ! is_fun_a_bool( X ), !
% 35.59/35.96 is_fun949378684l_bool( Y ), is_fun949378684l_bool( insert_fun_a_bool( X,
% 35.59/35.96 Y ) ) }.
% 35.59/35.96 (191090) {G0,W8,D3,L3,V2,M3} { ! is_fun_pname_bool( X ), !
% 35.59/35.96 is_fun1661590463l_bool( Y ), is_fun1661590463l_bool(
% 35.59/35.96 insert1325755072e_bool( X, Y ) ) }.
% 35.59/35.96 (191091) {G0,W8,D3,L3,V2,M3} { ! is_fun_a_bool( X ), ! is_a( Y ), is_bool
% 35.59/35.96 ( hAPP_a_bool( X, Y ) ) }.
% 35.59/35.96 (191092) {G0,W6,D3,L2,V2,M2} { ! is_a( X ), is_fun_a_bool(
% 35.59/35.96 hAPP_a_fun_a_bool( Y, X ) ) }.
% 35.59/35.96 (191093) {G0,W6,D3,L2,V2,M2} { ! is_a( X ), is_fun_pname_bool(
% 35.59/35.96 hAPP_a93125764e_bool( Y, X ) ) }.
% 35.59/35.96 (191094) {G0,W6,D3,L2,V2,M2} { ! is_a( X ), is_fun949378684l_bool(
% 35.59/35.96 hAPP_a85458249l_bool( Y, X ) ) }.
% 35.59/35.96 (191095) {G0,W6,D3,L2,V2,M2} { ! is_pname( X ), is_a( hAPP_pname_a( Y, X )
% 35.59/35.96 ) }.
% 35.59/35.96 (191096) {G0,W8,D3,L3,V2,M3} { ! is_fun_pname_bool( X ), ! is_pname( Y ),
% 35.59/35.96 is_bool( hAPP_pname_bool( X, Y ) ) }.
% 35.59/35.96 (191097) {G0,W6,D3,L2,V2,M2} { ! is_pname( X ), is_fun_a_bool(
% 35.59/35.96 hAPP_p1534023578a_bool( Y, X ) ) }.
% 35.59/35.96 (191098) {G0,W6,D3,L2,V2,M2} { ! is_pname( X ), is_fun_pname_bool(
% 35.59/35.96 hAPP_p61793385e_bool( Y, X ) ) }.
% 35.59/35.96 (191099) {G0,W6,D3,L2,V2,M2} { ! is_pname( X ), is_fun1661590463l_bool(
% 35.59/35.96 hAPP_p338031245l_bool( Y, X ) ) }.
% 35.59/35.96 (191100) {G0,W6,D3,L2,V2,M2} { ! is_bool( X ), is_bool( hAPP_bool_bool( Y
% 35.59/35.96 , X ) ) }.
% 35.59/35.96 (191101) {G0,W4,D3,L1,V2,M1} { is_bool( hAPP_nat_bool( X, Y ) ) }.
% 35.59/35.96 (191102) {G0,W4,D3,L1,V2,M1} { is_fun_a_bool( hAPP_nat_fun_a_bool( X, Y )
% 35.59/35.96 ) }.
% 35.59/35.96 (191103) {G0,W4,D3,L1,V2,M1} { is_fun_pname_bool( hAPP_n1025906991e_bool(
% 35.59/35.96 X, Y ) ) }.
% 35.59/35.96 (191104) {G0,W8,D3,L3,V2,M3} { ! is_fun949378684l_bool( X ), !
% 35.59/35.96 is_fun_a_bool( Y ), is_bool( hAPP_fun_a_bool_bool( X, Y ) ) }.
% 35.59/35.96 (191105) {G0,W6,D3,L2,V2,M2} { ! is_fun_a_bool( X ), is_fun_a_bool(
% 35.59/35.96 hAPP_f2050579477a_bool( Y, X ) ) }.
% 35.59/35.96 (191106) {G0,W6,D3,L2,V2,M2} { ! is_fun_a_bool( X ), is_fun949378684l_bool
% 35.59/35.96 ( hAPP_f1631501043l_bool( Y, X ) ) }.
% 35.59/35.96 (191107) {G0,W8,D3,L3,V2,M3} { ! is_fun1661590463l_bool( X ), !
% 35.59/35.96 is_fun_pname_bool( Y ), is_bool( hAPP_f1664156314l_bool( X, Y ) ) }.
% 35.59/35.96 (191108) {G0,W6,D3,L2,V2,M2} { ! is_fun_pname_bool( X ), is_fun_pname_bool
% 35.59/35.96 ( hAPP_f759274231e_bool( Y, X ) ) }.
% 35.59/35.96 (191109) {G0,W6,D3,L2,V2,M2} { ! is_fun_pname_bool( X ),
% 35.59/35.96 is_fun1661590463l_bool( hAPP_f434788991l_bool( Y, X ) ) }.
% 35.59/35.96 (191110) {G0,W4,D3,L1,V2,M1} { is_bool( hAPP_f54304608l_bool( X, Y ) ) }.
% 35.59/35.96 (191111) {G0,W6,D3,L2,V2,M2} { ! is_fun949378684l_bool( X ), is_bool(
% 35.59/35.96 hAPP_f621171935l_bool( Y, X ) ) }.
% 35.59/35.96 (191112) {G0,W6,D3,L2,V2,M2} { ! is_fun949378684l_bool( X ),
% 35.59/35.96 is_fun949378684l_bool( hAPP_f2117159681l_bool( Y, X ) ) }.
% 35.59/35.96 (191113) {G0,W6,D3,L2,V2,M2} { ! is_fun1661590463l_bool( X ), is_bool(
% 35.59/35.96 hAPP_f1935102916l_bool( Y, X ) ) }.
% 35.59/35.96 (191114) {G0,W6,D3,L2,V2,M2} { ! is_fun1661590463l_bool( X ),
% 35.59/35.96 is_fun1661590463l_bool( hAPP_f559147733l_bool( Y, X ) ) }.
% 35.59/35.96 (191115) {G0,W4,D3,L1,V2,M1} { is_bool( hAPP_f1637334154l_bool( X, Y ) )
% 35.59/35.96 }.
% 35.59/35.96 (191116) {G0,W4,D3,L1,V2,M1} { is_bool( hAPP_f292226953l_bool( X, Y ) )
% 35.59/35.96 }.
% 35.59/35.96 (191117) {G0,W4,D3,L1,V2,M1} { is_bool( hAPP_f389811538l_bool( X, Y ) )
% 35.59/35.96 }.
% 35.59/35.96 (191118) {G0,W4,D3,L1,V2,M1} { is_bool( hAPP_f937997336l_bool( X, Y ) )
% 35.59/35.96 }.
% 35.59/35.96 (191119) {G0,W4,D3,L1,V2,M1} { is_bool( hAPP_f1363661463l_bool( X, Y ) )
% 35.59/35.96 }.
% 35.59/35.96 (191120) {G0,W4,D3,L1,V2,M1} { is_bool( hAPP_f595608956l_bool( X, Y ) )
% 35.59/35.96 }.
% 35.59/35.96 (191121) {G0,W4,D3,L1,V2,M1} { is_bool( hAPP_f1295398978l_bool( X, Y ) )
% 35.59/35.96 }.
% 35.59/35.96 (191122) {G0,W2,D2,L1,V0,M1} { is_fun_a_bool( g ) }.
% 35.59/35.96 (191123) {G0,W5,D3,L2,V1,M2} { ! is_fun_a_bool( X ), is_fun949378684l_bool
% 35.59/35.96 ( p( X ) ) }.
% 35.59/35.96 (191124) {G0,W2,D2,L1,V0,M1} { is_fun_pname_bool( u ) }.
% 35.59/35.96 (191125) {G0,W2,D2,L1,V0,M1} { is_pname( pn ) }.
% 35.59/35.96 (191126) {G0,W11,D4,L2,V2,M2} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( ord_le1311769555a_bool, X ), Y ) ), hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( p( Y ), X ) ) }.
% 35.59/35.96 (191127) {G0,W12,D6,L2,V1,M2} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, X ) ), hBOOL( hAPP_f1637334154l_bool(
% 35.59/35.96 finite2012431853t_bool, collect_fun_nat_bool( hAPP_f103356543l_bool(
% 35.59/35.96 cOMBC_1693257480l_bool( ord_le1568362934t_bool ), X ) ) ) ) }.
% 35.59/35.96 (191128) {G0,W12,D6,L2,V1,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, X ) ), hBOOL( hAPP_f1935102916l_bool(
% 35.59/35.96 finite595471783e_bool, collec1974731493e_bool( hAPP_f434788991l_bool(
% 35.59/35.96 cOMBC_1284144636l_bool( ord_le313189616e_bool ), X ) ) ) ) }.
% 35.59/35.96 (191129) {G0,W12,D6,L2,V1,M2} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 finite_finite_a, X ) ), hBOOL( hAPP_f621171935l_bool(
% 35.59/35.96 finite347923420a_bool, collect_fun_a_bool( hAPP_f1631501043l_bool(
% 35.59/35.96 cOMBC_1732670874l_bool( ord_le1311769555a_bool ), X ) ) ) ) }.
% 35.59/35.96 (191130) {G0,W12,D6,L2,V1,M2} { ! hBOOL( hAPP_f937997336l_bool(
% 35.59/35.96 finite1701474069l_bool, X ) ), hBOOL( hAPP_f1295398978l_bool(
% 35.59/35.96 finite719726885l_bool, collec1874991203l_bool( hAPP_f760187903l_bool(
% 35.59/35.96 cOMBC_1269652216l_bool( ord_le65145710l_bool ), X ) ) ) ) }.
% 35.59/35.96 (191131) {G0,W12,D6,L2,V1,M2} { ! hBOOL( hAPP_f389811538l_bool(
% 35.59/35.96 finite786885583l_bool, X ) ), hBOOL( hAPP_f595608956l_bool(
% 35.59/35.96 finite1491191519l_bool, collec792590109l_bool( hAPP_f1759205631l_bool(
% 35.59/35.96 cOMBC_336095980l_bool( ord_le1375671464l_bool ), X ) ) ) ) }.
% 35.59/35.96 (191132) {G0,W12,D6,L2,V1,M2} { ! hBOOL( hAPP_f292226953l_bool(
% 35.59/35.96 finite1381704300l_bool, X ) ), hBOOL( hAPP_f1363661463l_bool(
% 35.59/35.96 finite1343359508l_bool, collec1635217238l_bool( hAPP_f1050622307l_bool(
% 35.59/35.96 cOMBC_636888218l_bool( ord_le967226251l_bool ), X ) ) ) ) }.
% 35.59/35.96 (191133) {G0,W12,D6,L2,V1,M2} { ! hBOOL( hAPP_f621171935l_bool(
% 35.59/35.96 finite347923420a_bool, X ) ), hBOOL( hAPP_f292226953l_bool(
% 35.59/35.96 finite1381704300l_bool, collec707592106l_bool( hAPP_f1434722111l_bool(
% 35.59/35.96 cOMBC_331553030l_bool( ord_le1375614389l_bool ), X ) ) ) ) }.
% 35.59/35.96 (191134) {G0,W12,D6,L2,V1,M2} { ! hBOOL( hAPP_f1935102916l_bool(
% 35.59/35.96 finite595471783e_bool, X ) ), hBOOL( hAPP_f389811538l_bool(
% 35.59/35.96 finite786885583l_bool, collec1613912337l_bool( hAPP_f510955609l_bool(
% 35.59/35.96 cOMBC_7971162l_bool( ord_le675606854l_bool ), X ) ) ) ) }.
% 35.59/35.96 (191135) {G0,W12,D6,L2,V1,M2} { ! hBOOL( hAPP_f1637334154l_bool(
% 35.59/35.96 finite2012431853t_bool, X ) ), hBOOL( hAPP_f937997336l_bool(
% 35.59/35.96 finite1701474069l_bool, collec1015864663l_bool( hAPP_f1772781669l_bool(
% 35.59/35.96 cOMBC_595898202l_bool( ord_le1454342156l_bool ), X ) ) ) ) }.
% 35.59/35.96 (191136) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, X ) ), hBOOL( hAPP_fun_a_bool_bool( finite_finite_a
% 35.59/35.96 , image_pname_a( Y, X ) ) ) }.
% 35.59/35.96 (191137) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f937997336l_bool(
% 35.59/35.96 finite1701474069l_bool, X ) ), hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, image_2089570637ol_nat( Y, X ) ) ) }.
% 35.59/35.96 (191138) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f389811538l_bool(
% 35.59/35.96 finite786885583l_bool, X ) ), hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, image_1079571347ol_nat( Y, X ) ) ) }.
% 35.59/35.96 (191139) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f292226953l_bool(
% 35.59/35.96 finite1381704300l_bool, X ) ), hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, image_1802975832ol_nat( Y, X ) ) ) }.
% 35.59/35.96 (191140) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f621171935l_bool(
% 35.59/35.96 finite347923420a_bool, X ) ), hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, image_fun_a_bool_nat( Y, X ) ) ) }.
% 35.59/35.96 (191141) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f1935102916l_bool(
% 35.59/35.96 finite595471783e_bool, X ) ), hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, image_1551609309ol_nat( Y, X ) ) ) }.
% 35.59/35.96 (191142) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f1637334154l_bool(
% 35.59/35.96 finite2012431853t_bool, X ) ), hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, image_496248727ol_nat( Y, X ) ) ) }.
% 35.59/35.96 (191143) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 finite_finite_a, X ) ), hBOOL( hAPP_f54304608l_bool( finite_finite_nat,
% 35.59/35.96 image_a_nat( Y, X ) ) ) }.
% 35.59/35.96 (191144) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f937997336l_bool(
% 35.59/35.96 finite1701474069l_bool, X ) ), hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, image_1604018183_pname( Y, X ) ) ) }.
% 35.59/35.96 (191145) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f389811538l_bool(
% 35.59/35.96 finite786885583l_bool, X ) ), hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, image_1705983821_pname( Y, X ) ) ) }.
% 35.59/35.96 (191146) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f292226953l_bool(
% 35.59/35.96 finite1381704300l_bool, X ) ), hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, image_990671762_pname( Y, X ) ) ) }.
% 35.59/35.96 (191147) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f621171935l_bool(
% 35.59/35.96 finite347923420a_bool, X ) ), hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, image_1854862208_pname( Y, X ) ) ) }.
% 35.59/35.96 (191148) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f1935102916l_bool(
% 35.59/35.96 finite595471783e_bool, X ) ), hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, image_1283814551_pname( Y, X ) ) ) }.
% 35.59/35.96 (191149) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f1637334154l_bool(
% 35.59/35.96 finite2012431853t_bool, X ) ), hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, image_1921560913_pname( Y, X ) ) ) }.
% 35.59/35.96 (191150) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 finite_finite_a, X ) ), hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, image_a_pname( Y, X ) ) ) }.
% 35.59/35.96 (191151) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, X ) ), hBOOL( hAPP_f937997336l_bool(
% 35.59/35.96 finite1701474069l_bool, image_1607900221l_bool( Y, X ) ) ) }.
% 35.59/35.96 (191152) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, X ) ), hBOOL( hAPP_f389811538l_bool(
% 35.59/35.96 finite786885583l_bool, image_1874789623l_bool( Y, X ) ) ) }.
% 35.59/35.96 (191153) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, X ) ), hBOOL( hAPP_f292226953l_bool(
% 35.59/35.96 finite1381704300l_bool, image_1208015684l_bool( Y, X ) ) ) }.
% 35.59/35.96 (191154) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, X ) ), hBOOL( hAPP_f621171935l_bool(
% 35.59/35.96 finite347923420a_bool, image_nat_fun_a_bool( Y, X ) ) ) }.
% 35.59/35.96 (191155) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, X ) ), hBOOL( hAPP_f1935102916l_bool(
% 35.59/35.96 finite595471783e_bool, image_1655916159e_bool( Y, X ) ) ) }.
% 35.59/35.96 (191156) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, X ) ), hBOOL( hAPP_f1637334154l_bool(
% 35.59/35.96 finite2012431853t_bool, image_26036933t_bool( Y, X ) ) ) }.
% 35.59/35.96 (191157) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, X ) ), hBOOL( hAPP_fun_a_bool_bool( finite_finite_a,
% 35.59/35.96 image_nat_a( Y, X ) ) ) }.
% 35.59/35.96 (191158) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, X ) ), hBOOL( hAPP_f937997336l_bool(
% 35.59/35.96 finite1701474069l_bool, image_1154884483l_bool( Y, X ) ) ) }.
% 35.59/35.96 (191159) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, X ) ), hBOOL( hAPP_f389811538l_bool(
% 35.59/35.96 finite786885583l_bool, image_1642285373l_bool( Y, X ) ) ) }.
% 35.59/35.96 (191160) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, X ) ), hBOOL( hAPP_f292226953l_bool(
% 35.59/35.96 finite1381704300l_bool, image_1420695166l_bool( Y, X ) ) ) }.
% 35.59/35.96 (191161) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, X ) ), hBOOL( hAPP_f621171935l_bool(
% 35.59/35.96 finite347923420a_bool, image_112932426a_bool( Y, X ) ) ) }.
% 35.59/35.96 (191162) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, X ) ), hBOOL( hAPP_f1935102916l_bool(
% 35.59/35.96 finite595471783e_bool, image_47868345e_bool( Y, X ) ) ) }.
% 35.59/35.96 (191163) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, X ) ), hBOOL( hAPP_f1637334154l_bool(
% 35.59/35.96 finite2012431853t_bool, image_2129980159t_bool( Y, X ) ) ) }.
% 35.59/35.96 (191164) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, X ) ), hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, image_pname_pname( Y, X ) ) ) }.
% 35.59/35.96 (191165) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 finite_finite_a, X ) ), hBOOL( hAPP_fun_a_bool_bool( finite_finite_a,
% 35.59/35.96 image_a_a( Y, X ) ) ) }.
% 35.59/35.96 (191166) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f1637334154l_bool(
% 35.59/35.96 finite2012431853t_bool, X ) ), hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 finite_finite_a, image_fun_nat_bool_a( Y, X ) ) ) }.
% 35.59/35.96 (191167) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f1935102916l_bool(
% 35.59/35.96 finite595471783e_bool, X ) ), hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 finite_finite_a, image_876012084bool_a( Y, X ) ) ) }.
% 35.59/35.96 (191168) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f621171935l_bool(
% 35.59/35.96 finite347923420a_bool, X ) ), hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 finite_finite_a, image_fun_a_bool_a( Y, X ) ) ) }.
% 35.59/35.96 (191169) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, X ) ), hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, image_pname_nat( Y, X ) ) ) }.
% 35.59/35.96 (191170) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, X ) ), hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, image_nat_pname( Y, X ) ) ) }.
% 35.59/35.96 (191171) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 finite_finite_a, X ) ), hBOOL( hAPP_fun_a_bool_bool( finite_finite_a,
% 35.59/35.96 insert_a( Y, X ) ) ) }.
% 35.59/35.96 (191172) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, X ) ), hBOOL( hAPP_f54304608l_bool( finite_finite_nat
% 35.59/35.96 , insert_nat( Y, X ) ) ) }.
% 35.59/35.96 (191173) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, X ) ), hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, insert_pname( Y, X ) ) ) }.
% 35.59/35.96 (191174) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f937997336l_bool(
% 35.59/35.96 finite1701474069l_bool, X ) ), hBOOL( hAPP_f937997336l_bool(
% 35.59/35.96 finite1701474069l_bool, insert2003652156l_bool( Y, X ) ) ) }.
% 35.59/35.96 (191175) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f389811538l_bool(
% 35.59/35.96 finite786885583l_bool, X ) ), hBOOL( hAPP_f389811538l_bool(
% 35.59/35.96 finite786885583l_bool, insert1117693814l_bool( Y, X ) ) ) }.
% 35.59/35.96 (191176) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f292226953l_bool(
% 35.59/35.96 finite1381704300l_bool, X ) ), hBOOL( hAPP_f292226953l_bool(
% 35.59/35.96 finite1381704300l_bool, insert1457093509l_bool( Y, X ) ) ) }.
% 35.59/35.96 (191177) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f621171935l_bool(
% 35.59/35.96 finite347923420a_bool, X ) ), hBOOL( hAPP_f621171935l_bool(
% 35.59/35.96 finite347923420a_bool, insert_fun_a_bool( Y, X ) ) ) }.
% 35.59/35.96 (191178) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f1935102916l_bool(
% 35.59/35.96 finite595471783e_bool, X ) ), hBOOL( hAPP_f1935102916l_bool(
% 35.59/35.96 finite595471783e_bool, insert1325755072e_bool( Y, X ) ) ) }.
% 35.59/35.96 (191179) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f1637334154l_bool(
% 35.59/35.96 finite2012431853t_bool, X ) ), hBOOL( hAPP_f1637334154l_bool(
% 35.59/35.96 finite2012431853t_bool, insert_fun_nat_bool( Y, X ) ) ) }.
% 35.59/35.96 (191180) {G0,W16,D6,L2,V2,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, X ) ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool
% 35.59/35.96 ( ord_less_eq_nat, hAPP_f22106695ol_nat( finite_card_nat, image_pname_nat
% 35.59/35.96 ( Y, X ) ) ), hAPP_f921600141ol_nat( finite_card_pname, X ) ) ) }.
% 35.59/35.96 (191181) {G0,W16,D6,L2,V2,M2} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 finite_finite_a, X ) ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool(
% 35.59/35.96 ord_less_eq_nat, hAPP_f22106695ol_nat( finite_card_nat, image_a_nat( Y, X
% 35.59/35.96 ) ) ), hAPP_fun_a_bool_nat( finite_card_a, X ) ) ) }.
% 35.59/35.96 (191182) {G0,W16,D6,L2,V2,M2} { ! hBOOL( hAPP_f1637334154l_bool(
% 35.59/35.96 finite2012431853t_bool, X ) ), hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, hAPP_f22106695ol_nat(
% 35.59/35.96 finite_card_nat, image_496248727ol_nat( Y, X ) ) ), hAPP_f696928925ol_nat
% 35.59/35.96 ( finite346522414t_bool, X ) ) ) }.
% 35.59/35.96 (191183) {G0,W16,D6,L2,V2,M2} { ! hBOOL( hAPP_f1935102916l_bool(
% 35.59/35.96 finite595471783e_bool, X ) ), hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, hAPP_f22106695ol_nat(
% 35.59/35.96 finite_card_nat, image_1551609309ol_nat( Y, X ) ) ), hAPP_f55526627ol_nat
% 35.59/35.96 ( finite1340463720e_bool, X ) ) ) }.
% 35.59/35.96 (191184) {G0,W16,D6,L2,V2,M2} { ! hBOOL( hAPP_f621171935l_bool(
% 35.59/35.96 finite347923420a_bool, X ) ), hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, hAPP_f22106695ol_nat(
% 35.59/35.96 finite_card_nat, image_fun_a_bool_nat( Y, X ) ) ), hAPP_f2009550088ol_nat
% 35.59/35.96 ( finite1306199131a_bool, X ) ) ) }.
% 35.59/35.96 (191185) {G0,W16,D6,L2,V2,M2} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 finite_finite_a, X ) ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool(
% 35.59/35.96 ord_less_eq_nat, hAPP_f921600141ol_nat( finite_card_pname, image_a_pname
% 35.59/35.96 ( Y, X ) ) ), hAPP_fun_a_bool_nat( finite_card_a, X ) ) ) }.
% 35.59/35.96 (191186) {G0,W16,D6,L2,V2,M2} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, X ) ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool(
% 35.59/35.96 ord_less_eq_nat, hAPP_f921600141ol_nat( finite_card_pname,
% 35.59/35.96 image_nat_pname( Y, X ) ) ), hAPP_f22106695ol_nat( finite_card_nat, X ) )
% 35.59/35.96 ) }.
% 35.59/35.96 (191187) {G0,W16,D6,L2,V2,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, X ) ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool
% 35.59/35.96 ( ord_less_eq_nat, hAPP_fun_a_bool_nat( finite_card_a, image_pname_a( Y,
% 35.59/35.96 X ) ) ), hAPP_f921600141ol_nat( finite_card_pname, X ) ) ) }.
% 35.59/35.96 (191188) {G0,W16,D6,L2,V2,M2} { ! hBOOL( hAPP_f937997336l_bool(
% 35.59/35.96 finite1701474069l_bool, X ) ), hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, hAPP_fun_a_bool_nat(
% 35.59/35.96 finite_card_a, image_526090948bool_a( Y, X ) ) ), hAPP_f1690079119ol_nat
% 35.59/35.96 ( finite1352710292l_bool, X ) ) ) }.
% 35.59/35.96 (191189) {G0,W16,D6,L2,V2,M2} { ! hBOOL( hAPP_f389811538l_bool(
% 35.59/35.96 finite786885583l_bool, X ) ), hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, hAPP_fun_a_bool_nat(
% 35.59/35.96 finite_card_a, image_349102846bool_a( Y, X ) ) ), hAPP_f98387925ol_nat(
% 35.59/35.96 finite269641166l_bool, X ) ) ) }.
% 35.59/35.96 (191190) {G0,W16,D6,L2,V2,M2} { ! hBOOL( hAPP_f292226953l_bool(
% 35.59/35.96 finite1381704300l_bool, X ) ), hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, hAPP_fun_a_bool_nat(
% 35.59/35.96 finite_card_a, image_573985017bool_a( Y, X ) ) ), hAPP_f1253658590ol_nat
% 35.59/35.96 ( finite1659325229l_bool, X ) ) ) }.
% 35.59/35.96 (191191) {G0,W16,D6,L2,V2,M2} { ! hBOOL( hAPP_f621171935l_bool(
% 35.59/35.96 finite347923420a_bool, X ) ), hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, hAPP_fun_a_bool_nat(
% 35.59/35.96 finite_card_a, image_fun_a_bool_a( Y, X ) ) ), hAPP_f2009550088ol_nat(
% 35.59/35.96 finite1306199131a_bool, X ) ) ) }.
% 35.59/35.96 (191192) {G0,W16,D6,L2,V2,M2} { ! hBOOL( hAPP_f1935102916l_bool(
% 35.59/35.96 finite595471783e_bool, X ) ), hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, hAPP_fun_a_bool_nat(
% 35.59/35.96 finite_card_a, image_876012084bool_a( Y, X ) ) ), hAPP_f55526627ol_nat(
% 35.59/35.96 finite1340463720e_bool, X ) ) ) }.
% 35.59/35.96 (191193) {G0,W16,D6,L2,V2,M2} { ! hBOOL( hAPP_f1637334154l_bool(
% 35.59/35.96 finite2012431853t_bool, X ) ), hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, hAPP_fun_a_bool_nat(
% 35.59/35.96 finite_card_a, image_fun_nat_bool_a( Y, X ) ) ), hAPP_f696928925ol_nat(
% 35.59/35.96 finite346522414t_bool, X ) ) ) }.
% 35.59/35.96 (191194) {G0,W16,D6,L2,V2,M2} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 finite_finite_a, X ) ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool(
% 35.59/35.96 ord_less_eq_nat, hAPP_fun_a_bool_nat( finite_card_a, image_a_a( Y, X ) )
% 35.59/35.96 ), hAPP_fun_a_bool_nat( finite_card_a, X ) ) ) }.
% 35.59/35.96 (191195) {G0,W16,D6,L2,V2,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, X ) ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool
% 35.59/35.96 ( ord_less_eq_nat, hAPP_f921600141ol_nat( finite_card_pname,
% 35.59/35.96 image_pname_pname( Y, X ) ) ), hAPP_f921600141ol_nat( finite_card_pname,
% 35.59/35.96 X ) ) ) }.
% 35.59/35.96 (191196) {G0,W16,D6,L2,V2,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, X ) ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool
% 35.59/35.96 ( ord_less_eq_nat, hAPP_f696928925ol_nat( finite346522414t_bool,
% 35.59/35.96 image_2129980159t_bool( Y, X ) ) ), hAPP_f921600141ol_nat(
% 35.59/35.96 finite_card_pname, X ) ) ) }.
% 35.59/35.96 (191197) {G0,W16,D6,L2,V2,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, X ) ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool
% 35.59/35.96 ( ord_less_eq_nat, hAPP_f55526627ol_nat( finite1340463720e_bool,
% 35.59/35.96 image_47868345e_bool( Y, X ) ) ), hAPP_f921600141ol_nat(
% 35.59/35.96 finite_card_pname, X ) ) ) }.
% 35.59/35.96 (191198) {G0,W16,D6,L2,V2,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, X ) ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool
% 35.59/35.96 ( ord_less_eq_nat, hAPP_f2009550088ol_nat( finite1306199131a_bool,
% 35.59/35.96 image_112932426a_bool( Y, X ) ) ), hAPP_f921600141ol_nat(
% 35.59/35.96 finite_card_pname, X ) ) ) }.
% 35.59/35.96 (191199) {G0,W16,D6,L2,V2,M2} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, X ) ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool(
% 35.59/35.96 ord_less_eq_nat, hAPP_fun_a_bool_nat( finite_card_a, image_nat_a( Y, X )
% 35.59/35.96 ) ), hAPP_f22106695ol_nat( finite_card_nat, X ) ) ) }.
% 35.59/35.96 (191200) {G0,W16,D6,L2,V2,M2} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, X ) ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool(
% 35.59/35.96 ord_less_eq_nat, hAPP_f696928925ol_nat( finite346522414t_bool,
% 35.59/35.96 image_26036933t_bool( Y, X ) ) ), hAPP_f22106695ol_nat( finite_card_nat,
% 35.59/35.96 X ) ) ) }.
% 35.59/35.96 (191201) {G0,W16,D6,L2,V2,M2} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, X ) ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool(
% 35.59/35.96 ord_less_eq_nat, hAPP_f55526627ol_nat( finite1340463720e_bool,
% 35.59/35.96 image_1655916159e_bool( Y, X ) ) ), hAPP_f22106695ol_nat( finite_card_nat
% 35.59/35.96 , X ) ) ) }.
% 35.59/35.96 (191202) {G0,W16,D6,L2,V2,M2} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, X ) ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool(
% 35.59/35.96 ord_less_eq_nat, hAPP_f2009550088ol_nat( finite1306199131a_bool,
% 35.59/35.96 image_nat_fun_a_bool( Y, X ) ) ), hAPP_f22106695ol_nat( finite_card_nat,
% 35.59/35.96 X ) ) ) }.
% 35.59/35.96 (191203) {G0,W16,D6,L2,V2,M2} { ! hBOOL( hAPP_f1637334154l_bool(
% 35.59/35.96 finite2012431853t_bool, X ) ), hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, hAPP_f921600141ol_nat(
% 35.59/35.96 finite_card_pname, image_1921560913_pname( Y, X ) ) ),
% 35.59/35.96 hAPP_f696928925ol_nat( finite346522414t_bool, X ) ) ) }.
% 35.59/35.96 (191204) {G0,W16,D6,L2,V2,M2} { ! hBOOL( hAPP_f1935102916l_bool(
% 35.59/35.96 finite595471783e_bool, X ) ), hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, hAPP_f921600141ol_nat(
% 35.59/35.96 finite_card_pname, image_1283814551_pname( Y, X ) ) ),
% 35.59/35.96 hAPP_f55526627ol_nat( finite1340463720e_bool, X ) ) ) }.
% 35.59/35.96 (191205) {G0,W16,D6,L2,V2,M2} { ! hBOOL( hAPP_f621171935l_bool(
% 35.59/35.96 finite347923420a_bool, X ) ), hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, hAPP_f921600141ol_nat(
% 35.59/35.96 finite_card_pname, image_1854862208_pname( Y, X ) ) ),
% 35.59/35.96 hAPP_f2009550088ol_nat( finite1306199131a_bool, X ) ) ) }.
% 35.59/35.96 (191206) {G0,W20,D5,L3,V2,M3} { ! hBOOL( hAPP_f1637334154l_bool(
% 35.59/35.96 finite2012431853t_bool, X ) ), ! hBOOL( hAPP_f1637334154l_bool(
% 35.59/35.96 hAPP_f1772781669l_bool( ord_le1454342156l_bool, Y ), X ) ), hBOOL(
% 35.59/35.96 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 35.59/35.96 hAPP_f696928925ol_nat( finite346522414t_bool, Y ) ),
% 35.59/35.96 hAPP_f696928925ol_nat( finite346522414t_bool, X ) ) ) }.
% 35.59/35.96 (191207) {G0,W20,D5,L3,V2,M3} { ! hBOOL( hAPP_f1935102916l_bool(
% 35.59/35.96 finite595471783e_bool, X ) ), ! hBOOL( hAPP_f1935102916l_bool(
% 35.59/35.96 hAPP_f510955609l_bool( ord_le675606854l_bool, Y ), X ) ), hBOOL(
% 35.59/35.96 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 35.59/35.96 hAPP_f55526627ol_nat( finite1340463720e_bool, Y ) ), hAPP_f55526627ol_nat
% 35.59/35.96 ( finite1340463720e_bool, X ) ) ) }.
% 35.59/35.96 (191208) {G0,W20,D5,L3,V2,M3} { ! hBOOL( hAPP_f621171935l_bool(
% 35.59/35.96 finite347923420a_bool, X ) ), ! hBOOL( hAPP_f621171935l_bool(
% 35.59/35.96 hAPP_f1434722111l_bool( ord_le1375614389l_bool, Y ), X ) ), hBOOL(
% 35.59/35.96 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 35.59/35.96 hAPP_f2009550088ol_nat( finite1306199131a_bool, Y ) ),
% 35.59/35.96 hAPP_f2009550088ol_nat( finite1306199131a_bool, X ) ) ) }.
% 35.59/35.96 (191209) {G0,W20,D5,L3,V2,M3} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, X ) ), ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_f434788991l_bool( ord_le313189616e_bool, Y ), X ) ), hBOOL(
% 35.59/35.96 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 35.59/35.96 hAPP_f921600141ol_nat( finite_card_pname, Y ) ), hAPP_f921600141ol_nat(
% 35.59/35.96 finite_card_pname, X ) ) ) }.
% 35.59/35.96 (191210) {G0,W20,D5,L3,V2,M3} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 finite_finite_a, X ) ), ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( ord_le1311769555a_bool, Y ), X ) ), hBOOL(
% 35.59/35.96 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 35.59/35.96 hAPP_fun_a_bool_nat( finite_card_a, Y ) ), hAPP_fun_a_bool_nat(
% 35.59/35.96 finite_card_a, X ) ) ) }.
% 35.59/35.96 (191211) {G0,W20,D5,L3,V2,M3} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, X ) ), ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_f103356543l_bool( ord_le1568362934t_bool, Y ), X ) ), hBOOL(
% 35.59/35.96 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 35.59/35.96 hAPP_f22106695ol_nat( finite_card_nat, Y ) ), hAPP_f22106695ol_nat(
% 35.59/35.96 finite_card_nat, X ) ) ) }.
% 35.59/35.96 (191212) {G0,W23,D5,L4,V2,M4} { ! hBOOL( hAPP_f1637334154l_bool(
% 35.59/35.96 finite2012431853t_bool, X ) ), ! hBOOL( hAPP_f1637334154l_bool(
% 35.59/35.96 hAPP_f1772781669l_bool( ord_le1454342156l_bool, Y ), X ) ), ! hBOOL(
% 35.59/35.96 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 35.59/35.96 hAPP_f696928925ol_nat( finite346522414t_bool, X ) ),
% 35.59/35.96 hAPP_f696928925ol_nat( finite346522414t_bool, Y ) ) ), Y = X }.
% 35.59/35.96 (191213) {G0,W27,D5,L6,V2,M6} { ! is_fun1661590463l_bool( X ), !
% 35.59/35.96 is_fun1661590463l_bool( Y ), ! hBOOL( hAPP_f1935102916l_bool(
% 35.59/35.96 finite595471783e_bool, Y ) ), ! hBOOL( hAPP_f1935102916l_bool(
% 35.59/35.96 hAPP_f510955609l_bool( ord_le675606854l_bool, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 35.59/35.96 hAPP_f55526627ol_nat( finite1340463720e_bool, Y ) ), hAPP_f55526627ol_nat
% 35.59/35.96 ( finite1340463720e_bool, X ) ) ), X = Y }.
% 35.59/35.96 (191214) {G0,W27,D5,L6,V2,M6} { ! is_fun949378684l_bool( X ), !
% 35.59/35.96 is_fun949378684l_bool( Y ), ! hBOOL( hAPP_f621171935l_bool(
% 35.59/35.96 finite347923420a_bool, Y ) ), ! hBOOL( hAPP_f621171935l_bool(
% 35.59/35.96 hAPP_f1434722111l_bool( ord_le1375614389l_bool, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 35.59/35.96 hAPP_f2009550088ol_nat( finite1306199131a_bool, Y ) ),
% 35.59/35.96 hAPP_f2009550088ol_nat( finite1306199131a_bool, X ) ) ), X = Y }.
% 35.59/35.96 (191215) {G0,W27,D5,L6,V2,M6} { ! is_fun_pname_bool( X ), !
% 35.59/35.96 is_fun_pname_bool( Y ), ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, Y ) ), ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_f434788991l_bool( ord_le313189616e_bool, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 35.59/35.96 hAPP_f921600141ol_nat( finite_card_pname, Y ) ), hAPP_f921600141ol_nat(
% 35.59/35.96 finite_card_pname, X ) ) ), X = Y }.
% 35.59/35.96 (191216) {G0,W27,D5,L6,V2,M6} { ! is_fun_a_bool( X ), ! is_fun_a_bool( Y )
% 35.59/35.96 , ! hBOOL( hAPP_fun_a_bool_bool( finite_finite_a, Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool, X )
% 35.59/35.96 , Y ) ), ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat
% 35.59/35.96 , hAPP_fun_a_bool_nat( finite_card_a, Y ) ), hAPP_fun_a_bool_nat(
% 35.59/35.96 finite_card_a, X ) ) ), X = Y }.
% 35.59/35.96 (191217) {G0,W23,D5,L4,V2,M4} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, X ) ), ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_f103356543l_bool( ord_le1568362934t_bool, Y ), X ) ), ! hBOOL(
% 35.59/35.96 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 35.59/35.96 hAPP_f22106695ol_nat( finite_card_nat, X ) ), hAPP_f22106695ol_nat(
% 35.59/35.96 finite_card_nat, Y ) ) ), Y = X }.
% 35.59/35.96 (191218) {G0,W16,D5,L2,V2,M2} { ! hBOOL( hAPP_f1637334154l_bool(
% 35.59/35.96 finite2012431853t_bool, X ) ), hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, hAPP_f696928925ol_nat(
% 35.59/35.96 finite346522414t_bool, X ) ), hAPP_f696928925ol_nat(
% 35.59/35.96 finite346522414t_bool, insert_fun_nat_bool( Y, X ) ) ) ) }.
% 35.59/35.96 (191219) {G0,W16,D5,L2,V2,M2} { ! hBOOL( hAPP_f1935102916l_bool(
% 35.59/35.96 finite595471783e_bool, X ) ), hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, hAPP_f55526627ol_nat(
% 35.59/35.96 finite1340463720e_bool, X ) ), hAPP_f55526627ol_nat(
% 35.59/35.96 finite1340463720e_bool, insert1325755072e_bool( Y, X ) ) ) ) }.
% 35.59/35.96 (191220) {G0,W16,D5,L2,V2,M2} { ! hBOOL( hAPP_f621171935l_bool(
% 35.59/35.96 finite347923420a_bool, X ) ), hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, hAPP_f2009550088ol_nat(
% 35.59/35.96 finite1306199131a_bool, X ) ), hAPP_f2009550088ol_nat(
% 35.59/35.96 finite1306199131a_bool, insert_fun_a_bool( Y, X ) ) ) ) }.
% 35.59/35.96 (191221) {G0,W16,D5,L2,V2,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, X ) ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool
% 35.59/35.96 ( ord_less_eq_nat, hAPP_f921600141ol_nat( finite_card_pname, X ) ),
% 35.59/35.96 hAPP_f921600141ol_nat( finite_card_pname, insert_pname( Y, X ) ) ) ) }.
% 35.59/35.96 (191222) {G0,W16,D5,L2,V2,M2} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, X ) ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool(
% 35.59/35.96 ord_less_eq_nat, hAPP_f22106695ol_nat( finite_card_nat, X ) ),
% 35.59/35.96 hAPP_f22106695ol_nat( finite_card_nat, insert_nat( Y, X ) ) ) ) }.
% 35.59/35.96 (191223) {G0,W16,D5,L2,V2,M2} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 finite_finite_a, X ) ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool(
% 35.59/35.96 ord_less_eq_nat, hAPP_fun_a_bool_nat( finite_card_a, X ) ),
% 35.59/35.96 hAPP_fun_a_bool_nat( finite_card_a, insert_a( Y, X ) ) ) ) }.
% 35.59/35.96 (191224) {G0,W19,D4,L3,V2,M3} { ! hBOOL( hAPP_f1637334154l_bool(
% 35.59/35.96 finite2012431853t_bool, X ) ), ! hBOOL( hAPP_f1637334154l_bool(
% 35.59/35.96 hAPP_f1951378235l_bool( member_fun_nat_bool, Y ), X ) ),
% 35.59/35.96 hAPP_f696928925ol_nat( finite346522414t_bool, insert_fun_nat_bool( Y, X )
% 35.59/35.96 ) = hAPP_f696928925ol_nat( finite346522414t_bool, X ) }.
% 35.59/35.96 (191225) {G0,W21,D4,L3,V2,M3} { ! hBOOL( hAPP_f1637334154l_bool(
% 35.59/35.96 finite2012431853t_bool, X ) ), hBOOL( hAPP_f1637334154l_bool(
% 35.59/35.96 hAPP_f1951378235l_bool( member_fun_nat_bool, Y ), X ) ),
% 35.59/35.96 hAPP_f696928925ol_nat( finite346522414t_bool, insert_fun_nat_bool( Y, X )
% 35.59/35.96 ) = hAPP_nat_nat( suc, hAPP_f696928925ol_nat( finite346522414t_bool, X )
% 35.59/35.96 ) }.
% 35.59/35.96 (191226) {G0,W19,D4,L3,V2,M3} { ! hBOOL( hAPP_f1935102916l_bool(
% 35.59/35.96 finite595471783e_bool, X ) ), ! hBOOL( hAPP_f1935102916l_bool(
% 35.59/35.96 hAPP_f556039215l_bool( member799430823e_bool, Y ), X ) ),
% 35.59/35.96 hAPP_f55526627ol_nat( finite1340463720e_bool, insert1325755072e_bool( Y,
% 35.59/35.96 X ) ) = hAPP_f55526627ol_nat( finite1340463720e_bool, X ) }.
% 35.59/35.96 (191227) {G0,W21,D4,L3,V2,M3} { ! hBOOL( hAPP_f1935102916l_bool(
% 35.59/35.96 finite595471783e_bool, X ) ), hBOOL( hAPP_f1935102916l_bool(
% 35.59/35.96 hAPP_f556039215l_bool( member799430823e_bool, Y ), X ) ),
% 35.59/35.96 hAPP_f55526627ol_nat( finite1340463720e_bool, insert1325755072e_bool( Y,
% 35.59/35.96 X ) ) = hAPP_nat_nat( suc, hAPP_f55526627ol_nat( finite1340463720e_bool,
% 35.59/35.96 X ) ) }.
% 35.59/35.96 (191228) {G0,W19,D4,L3,V2,M3} { ! hBOOL( hAPP_f621171935l_bool(
% 35.59/35.96 finite347923420a_bool, X ) ), ! hBOOL( hAPP_f621171935l_bool(
% 35.59/35.96 hAPP_f285962445l_bool( member_fun_a_bool, Y ), X ) ),
% 35.59/35.96 hAPP_f2009550088ol_nat( finite1306199131a_bool, insert_fun_a_bool( Y, X )
% 35.59/35.96 ) = hAPP_f2009550088ol_nat( finite1306199131a_bool, X ) }.
% 35.59/35.96 (191229) {G0,W21,D4,L3,V2,M3} { ! hBOOL( hAPP_f621171935l_bool(
% 35.59/35.96 finite347923420a_bool, X ) ), hBOOL( hAPP_f621171935l_bool(
% 35.59/35.96 hAPP_f285962445l_bool( member_fun_a_bool, Y ), X ) ),
% 35.59/35.96 hAPP_f2009550088ol_nat( finite1306199131a_bool, insert_fun_a_bool( Y, X )
% 35.59/35.96 ) = hAPP_nat_nat( suc, hAPP_f2009550088ol_nat( finite1306199131a_bool, X
% 35.59/35.96 ) ) }.
% 35.59/35.96 (191230) {G0,W19,D4,L3,V2,M3} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, X ) ), ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_n215258509l_bool( member_nat, Y ), X ) ), hAPP_f22106695ol_nat(
% 35.59/35.96 finite_card_nat, insert_nat( Y, X ) ) = hAPP_f22106695ol_nat(
% 35.59/35.96 finite_card_nat, X ) }.
% 35.59/35.96 (191231) {G0,W21,D4,L3,V2,M3} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, X ) ), hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_n215258509l_bool( member_nat, Y ), X ) ), hAPP_f22106695ol_nat(
% 35.59/35.96 finite_card_nat, insert_nat( Y, X ) ) = hAPP_nat_nat( suc,
% 35.59/35.96 hAPP_f22106695ol_nat( finite_card_nat, X ) ) }.
% 35.59/35.96 (191232) {G0,W19,D4,L3,V2,M3} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, X ) ), ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_p338031245l_bool( member_pname, Y ), X ) ), hAPP_f921600141ol_nat(
% 35.59/35.96 finite_card_pname, insert_pname( Y, X ) ) = hAPP_f921600141ol_nat(
% 35.59/35.96 finite_card_pname, X ) }.
% 35.59/35.96 (191233) {G0,W21,D4,L3,V2,M3} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, X ) ), hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_p338031245l_bool( member_pname, Y ), X ) ), hAPP_f921600141ol_nat(
% 35.59/35.96 finite_card_pname, insert_pname( Y, X ) ) = hAPP_nat_nat( suc,
% 35.59/35.96 hAPP_f921600141ol_nat( finite_card_pname, X ) ) }.
% 35.59/35.96 (191234) {G0,W19,D4,L3,V2,M3} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 finite_finite_a, X ) ), ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_a85458249l_bool( member_a, Y ), X ) ), hAPP_fun_a_bool_nat(
% 35.59/35.96 finite_card_a, insert_a( Y, X ) ) = hAPP_fun_a_bool_nat( finite_card_a, X
% 35.59/35.96 ) }.
% 35.59/35.96 (191235) {G0,W21,D4,L3,V2,M3} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 finite_finite_a, X ) ), hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool
% 35.59/35.96 ( member_a, Y ), X ) ), hAPP_fun_a_bool_nat( finite_card_a, insert_a( Y,
% 35.59/35.96 X ) ) = hAPP_nat_nat( suc, hAPP_fun_a_bool_nat( finite_card_a, X ) ) }.
% 35.59/35.96 (191236) {G0,W21,D4,L3,V2,M3} { ! hBOOL( hAPP_f1637334154l_bool(
% 35.59/35.96 finite2012431853t_bool, X ) ), hBOOL( hAPP_f1637334154l_bool(
% 35.59/35.96 hAPP_f1951378235l_bool( member_fun_nat_bool, Y ), X ) ),
% 35.59/35.96 hAPP_f696928925ol_nat( finite346522414t_bool, insert_fun_nat_bool( Y, X )
% 35.59/35.96 ) = hAPP_nat_nat( suc, hAPP_f696928925ol_nat( finite346522414t_bool, X )
% 35.59/35.96 ) }.
% 35.59/35.96 (191237) {G0,W21,D4,L3,V2,M3} { ! hBOOL( hAPP_f1935102916l_bool(
% 35.59/35.96 finite595471783e_bool, X ) ), hBOOL( hAPP_f1935102916l_bool(
% 35.59/35.96 hAPP_f556039215l_bool( member799430823e_bool, Y ), X ) ),
% 35.59/35.96 hAPP_f55526627ol_nat( finite1340463720e_bool, insert1325755072e_bool( Y,
% 35.59/35.96 X ) ) = hAPP_nat_nat( suc, hAPP_f55526627ol_nat( finite1340463720e_bool,
% 35.59/35.96 X ) ) }.
% 35.59/35.96 (191238) {G0,W21,D4,L3,V2,M3} { ! hBOOL( hAPP_f621171935l_bool(
% 35.59/35.96 finite347923420a_bool, X ) ), hBOOL( hAPP_f621171935l_bool(
% 35.59/35.96 hAPP_f285962445l_bool( member_fun_a_bool, Y ), X ) ),
% 35.59/35.96 hAPP_f2009550088ol_nat( finite1306199131a_bool, insert_fun_a_bool( Y, X )
% 35.59/35.96 ) = hAPP_nat_nat( suc, hAPP_f2009550088ol_nat( finite1306199131a_bool, X
% 35.59/35.96 ) ) }.
% 35.59/35.96 (191239) {G0,W21,D4,L3,V2,M3} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, X ) ), hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_n215258509l_bool( member_nat, Y ), X ) ), hAPP_f22106695ol_nat(
% 35.59/35.96 finite_card_nat, insert_nat( Y, X ) ) = hAPP_nat_nat( suc,
% 35.59/35.96 hAPP_f22106695ol_nat( finite_card_nat, X ) ) }.
% 35.59/35.96 (191240) {G0,W21,D4,L3,V2,M3} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, X ) ), hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_p338031245l_bool( member_pname, Y ), X ) ), hAPP_f921600141ol_nat(
% 35.59/35.96 finite_card_pname, insert_pname( Y, X ) ) = hAPP_nat_nat( suc,
% 35.59/35.96 hAPP_f921600141ol_nat( finite_card_pname, X ) ) }.
% 35.59/35.96 (191241) {G0,W21,D4,L3,V2,M3} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 finite_finite_a, X ) ), hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool
% 35.59/35.96 ( member_a, Y ), X ) ), hAPP_fun_a_bool_nat( finite_card_a, insert_a( Y,
% 35.59/35.96 X ) ) = hAPP_nat_nat( suc, hAPP_fun_a_bool_nat( finite_card_a, X ) ) }.
% 35.59/35.96 (191242) {G0,W14,D6,L2,V2,M2} { ! hBOOL( hAPP_f1637334154l_bool(
% 35.59/35.96 finite2012431853t_bool, collect_fun_nat_bool( Y ) ) ), hBOOL(
% 35.59/35.96 hAPP_f1637334154l_bool( finite2012431853t_bool, collect_fun_nat_bool(
% 35.59/35.96 cOMBS_1187019125l_bool( cOMBB_444170502t_bool( fconj, Y ), X ) ) ) ) }.
% 35.59/35.96 (191243) {G0,W14,D6,L2,V2,M2} { ! hBOOL( hAPP_f1637334154l_bool(
% 35.59/35.96 finite2012431853t_bool, collect_fun_nat_bool( X ) ) ), hBOOL(
% 35.59/35.96 hAPP_f1637334154l_bool( finite2012431853t_bool, collect_fun_nat_bool(
% 35.59/35.96 cOMBS_1187019125l_bool( cOMBB_444170502t_bool( fconj, Y ), X ) ) ) ) }.
% 35.59/35.96 (191244) {G0,W14,D6,L2,V2,M2} { ! hBOOL( hAPP_f1935102916l_bool(
% 35.59/35.96 finite595471783e_bool, collec1974731493e_bool( Y ) ) ), hBOOL(
% 35.59/35.96 hAPP_f1935102916l_bool( finite595471783e_bool, collec1974731493e_bool(
% 35.59/35.96 cOMBS_350070575l_bool( cOMBB_2095475776e_bool( fconj, Y ), X ) ) ) ) }.
% 35.59/35.96 (191245) {G0,W14,D6,L2,V2,M2} { ! hBOOL( hAPP_f1935102916l_bool(
% 35.59/35.96 finite595471783e_bool, collec1974731493e_bool( X ) ) ), hBOOL(
% 35.59/35.96 hAPP_f1935102916l_bool( finite595471783e_bool, collec1974731493e_bool(
% 35.59/35.96 cOMBS_350070575l_bool( cOMBB_2095475776e_bool( fconj, Y ), X ) ) ) ) }.
% 35.59/35.96 (191246) {G0,W14,D6,L2,V2,M2} { ! hBOOL( hAPP_f621171935l_bool(
% 35.59/35.96 finite347923420a_bool, collect_fun_a_bool( Y ) ) ), hBOOL(
% 35.59/35.96 hAPP_f621171935l_bool( finite347923420a_bool, collect_fun_a_bool(
% 35.59/35.96 cOMBS_1035972772l_bool( cOMBB_338059395a_bool( fconj, Y ), X ) ) ) ) }.
% 35.59/35.96 (191247) {G0,W14,D6,L2,V2,M2} { ! hBOOL( hAPP_f621171935l_bool(
% 35.59/35.96 finite347923420a_bool, collect_fun_a_bool( X ) ) ), hBOOL(
% 35.59/35.96 hAPP_f621171935l_bool( finite347923420a_bool, collect_fun_a_bool(
% 35.59/35.96 cOMBS_1035972772l_bool( cOMBB_338059395a_bool( fconj, Y ), X ) ) ) ) }.
% 35.59/35.96 (191248) {G0,W14,D6,L2,V2,M2} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 finite_finite_a, collect_a( Y ) ) ), hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 finite_finite_a, collect_a( cOMBS_a_bool_bool( cOMBB_1972296269bool_a(
% 35.59/35.96 fconj, Y ), X ) ) ) ) }.
% 35.59/35.96 (191249) {G0,W14,D6,L2,V2,M2} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 finite_finite_a, collect_a( X ) ) ), hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 finite_finite_a, collect_a( cOMBS_a_bool_bool( cOMBB_1972296269bool_a(
% 35.59/35.96 fconj, Y ), X ) ) ) ) }.
% 35.59/35.96 (191250) {G0,W14,D6,L2,V2,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, collect_pname( Y ) ) ), hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( finite_finite_pname, collect_pname(
% 35.59/35.96 cOMBS_568398431l_bool( cOMBB_675860798_pname( fconj, Y ), X ) ) ) ) }.
% 35.59/35.96 (191251) {G0,W14,D6,L2,V2,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, collect_pname( X ) ) ), hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( finite_finite_pname, collect_pname(
% 35.59/35.96 cOMBS_568398431l_bool( cOMBB_675860798_pname( fconj, Y ), X ) ) ) ) }.
% 35.59/35.96 (191252) {G0,W14,D6,L2,V2,M2} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, collect_nat( Y ) ) ), hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, collect_nat( cOMBS_nat_bool_bool(
% 35.59/35.96 cOMBB_1015721476ol_nat( fconj, Y ), X ) ) ) ) }.
% 35.59/35.96 (191253) {G0,W14,D6,L2,V2,M2} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, collect_nat( X ) ) ), hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, collect_nat( cOMBS_nat_bool_bool(
% 35.59/35.96 cOMBB_1015721476ol_nat( fconj, Y ), X ) ) ) ) }.
% 35.59/35.96 (191254) {G0,W19,D5,L2,V2,M2} { ! hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y ) ), hAPP_nat_nat(
% 35.59/35.96 minus_minus_nat( hAPP_nat_nat( suc, Y ) ), X ) = hAPP_nat_nat( suc,
% 35.59/35.96 hAPP_nat_nat( minus_minus_nat( Y ), X ) ) }.
% 35.59/35.96 (191255) {G0,W8,D6,L1,V1,M1} { hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, collect_nat( hAPP_n1699378549t_bool(
% 35.59/35.96 cOMBC_nat_nat_bool( ord_less_eq_nat ), X ) ) ) ) }.
% 35.59/35.96 (191256) {G0,W11,D6,L1,V1,M1} { hAPP_f22106695ol_nat( finite_card_nat,
% 35.59/35.96 collect_nat( hAPP_n1699378549t_bool( cOMBC_nat_nat_bool( ord_less_eq_nat
% 35.59/35.96 ), X ) ) ) = hAPP_nat_nat( suc, X ) }.
% 35.59/35.96 (191257) {G0,W10,D3,L2,V2,M2} { ! hAPP_nat_nat( suc, X ) = hAPP_nat_nat(
% 35.59/35.96 suc, Y ), X = Y }.
% 35.59/35.96 (191258) {G0,W10,D3,L2,V2,M2} { ! hAPP_nat_nat( suc, X ) = hAPP_nat_nat(
% 35.59/35.96 suc, Y ), X = Y }.
% 35.59/35.96 (191259) {G0,W10,D3,L2,V2,M2} { ! X = Y, hAPP_nat_nat( suc, X ) =
% 35.59/35.96 hAPP_nat_nat( suc, Y ) }.
% 35.59/35.96 (191260) {G0,W5,D3,L1,V1,M1} { ! hAPP_nat_nat( suc, X ) = X }.
% 35.59/35.96 (191261) {G0,W5,D3,L1,V1,M1} { ! X = hAPP_nat_nat( suc, X ) }.
% 35.59/35.96 (191262) {G0,W15,D4,L3,V2,M3} { ! hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, Y ), X ) ), X = Y
% 35.59/35.96 }.
% 35.59/35.96 (191263) {G0,W18,D4,L3,V3,M3} { ! hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, Y ), Z ) ), hBOOL
% 35.59/35.96 ( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Z ) ) }.
% 35.59/35.96 (191264) {G0,W9,D4,L2,V2,M2} { ! X = Y, hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y ) ) }.
% 35.59/35.96 (191265) {G0,W12,D4,L2,V2,M2} { hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y ) ), hBOOL( hAPP_nat_bool
% 35.59/35.96 ( hAPP_n1699378549t_bool( ord_less_eq_nat, Y ), X ) ) }.
% 35.59/35.96 (191266) {G0,W6,D4,L1,V1,M1} { hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, X ), X ) ) }.
% 35.59/35.96 (191267) {G0,W15,D6,L1,V3,M1} { hAPP_nat_nat( minus_minus_nat(
% 35.59/35.96 hAPP_nat_nat( minus_minus_nat( X ), Y ) ), Z ) = hAPP_nat_nat(
% 35.59/35.96 minus_minus_nat( hAPP_nat_nat( minus_minus_nat( X ), Z ) ), Y ) }.
% 35.59/35.96 (191268) {G0,W14,D6,L2,V2,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, collect_pname( cOMBS_568398431l_bool(
% 35.59/35.96 cOMBB_675860798_pname( fdisj, X ), Y ) ) ) ), hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( finite_finite_pname, collect_pname( X ) ) ) }.
% 35.59/35.96 (191269) {G0,W14,D6,L2,V2,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, collect_pname( cOMBS_568398431l_bool(
% 35.59/35.96 cOMBB_675860798_pname( fdisj, X ), Y ) ) ) ), hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( finite_finite_pname, collect_pname( Y ) ) ) }.
% 35.59/35.96 (191270) {G0,W19,D6,L3,V2,M3} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, collect_pname( X ) ) ), ! hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( finite_finite_pname, collect_pname( Y ) ) ),
% 35.59/35.96 hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, collect_pname(
% 35.59/35.96 cOMBS_568398431l_bool( cOMBB_675860798_pname( fdisj, X ), Y ) ) ) ) }.
% 35.59/35.96 (191271) {G0,W14,D6,L2,V2,M2} { ! hBOOL( hAPP_f1637334154l_bool(
% 35.59/35.96 finite2012431853t_bool, collect_fun_nat_bool( cOMBS_1187019125l_bool(
% 35.59/35.96 cOMBB_444170502t_bool( fdisj, X ), Y ) ) ) ), hBOOL(
% 35.59/35.96 hAPP_f1637334154l_bool( finite2012431853t_bool, collect_fun_nat_bool( X )
% 35.59/35.96 ) ) }.
% 35.59/35.96 (191272) {G0,W14,D6,L2,V2,M2} { ! hBOOL( hAPP_f1637334154l_bool(
% 35.59/35.96 finite2012431853t_bool, collect_fun_nat_bool( cOMBS_1187019125l_bool(
% 35.59/35.96 cOMBB_444170502t_bool( fdisj, X ), Y ) ) ) ), hBOOL(
% 35.59/35.96 hAPP_f1637334154l_bool( finite2012431853t_bool, collect_fun_nat_bool( Y )
% 35.59/35.96 ) ) }.
% 35.59/35.96 (191273) {G0,W19,D6,L3,V2,M3} { ! hBOOL( hAPP_f1637334154l_bool(
% 35.59/35.96 finite2012431853t_bool, collect_fun_nat_bool( X ) ) ), ! hBOOL(
% 35.59/35.96 hAPP_f1637334154l_bool( finite2012431853t_bool, collect_fun_nat_bool( Y )
% 35.59/35.96 ) ), hBOOL( hAPP_f1637334154l_bool( finite2012431853t_bool,
% 35.59/35.96 collect_fun_nat_bool( cOMBS_1187019125l_bool( cOMBB_444170502t_bool(
% 35.59/35.96 fdisj, X ), Y ) ) ) ) }.
% 35.59/35.96 (191274) {G0,W14,D6,L2,V2,M2} { ! hBOOL( hAPP_f1935102916l_bool(
% 35.59/35.96 finite595471783e_bool, collec1974731493e_bool( cOMBS_350070575l_bool(
% 35.59/35.96 cOMBB_2095475776e_bool( fdisj, X ), Y ) ) ) ), hBOOL(
% 35.59/35.96 hAPP_f1935102916l_bool( finite595471783e_bool, collec1974731493e_bool( X
% 35.59/35.96 ) ) ) }.
% 35.59/35.96 (191275) {G0,W14,D6,L2,V2,M2} { ! hBOOL( hAPP_f1935102916l_bool(
% 35.59/35.96 finite595471783e_bool, collec1974731493e_bool( cOMBS_350070575l_bool(
% 35.59/35.96 cOMBB_2095475776e_bool( fdisj, X ), Y ) ) ) ), hBOOL(
% 35.59/35.96 hAPP_f1935102916l_bool( finite595471783e_bool, collec1974731493e_bool( Y
% 35.59/35.96 ) ) ) }.
% 35.59/35.96 (191276) {G0,W19,D6,L3,V2,M3} { ! hBOOL( hAPP_f1935102916l_bool(
% 35.59/35.96 finite595471783e_bool, collec1974731493e_bool( X ) ) ), ! hBOOL(
% 35.59/35.96 hAPP_f1935102916l_bool( finite595471783e_bool, collec1974731493e_bool( Y
% 35.59/35.96 ) ) ), hBOOL( hAPP_f1935102916l_bool( finite595471783e_bool,
% 35.59/35.96 collec1974731493e_bool( cOMBS_350070575l_bool( cOMBB_2095475776e_bool(
% 35.59/35.96 fdisj, X ), Y ) ) ) ) }.
% 35.59/35.96 (191277) {G0,W14,D6,L2,V2,M2} { ! hBOOL( hAPP_f621171935l_bool(
% 35.59/35.96 finite347923420a_bool, collect_fun_a_bool( cOMBS_1035972772l_bool(
% 35.59/35.96 cOMBB_338059395a_bool( fdisj, X ), Y ) ) ) ), hBOOL(
% 35.59/35.96 hAPP_f621171935l_bool( finite347923420a_bool, collect_fun_a_bool( X ) ) )
% 35.59/35.96 }.
% 35.59/35.96 (191278) {G0,W14,D6,L2,V2,M2} { ! hBOOL( hAPP_f621171935l_bool(
% 35.59/35.96 finite347923420a_bool, collect_fun_a_bool( cOMBS_1035972772l_bool(
% 35.59/35.96 cOMBB_338059395a_bool( fdisj, X ), Y ) ) ) ), hBOOL(
% 35.59/35.96 hAPP_f621171935l_bool( finite347923420a_bool, collect_fun_a_bool( Y ) ) )
% 35.59/35.96 }.
% 35.59/35.96 (191279) {G0,W19,D6,L3,V2,M3} { ! hBOOL( hAPP_f621171935l_bool(
% 35.59/35.96 finite347923420a_bool, collect_fun_a_bool( X ) ) ), ! hBOOL(
% 35.59/35.96 hAPP_f621171935l_bool( finite347923420a_bool, collect_fun_a_bool( Y ) ) )
% 35.59/35.96 , hBOOL( hAPP_f621171935l_bool( finite347923420a_bool, collect_fun_a_bool
% 35.59/35.96 ( cOMBS_1035972772l_bool( cOMBB_338059395a_bool( fdisj, X ), Y ) ) ) )
% 35.59/35.96 }.
% 35.59/35.96 (191280) {G0,W14,D6,L2,V2,M2} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, collect_nat( cOMBS_nat_bool_bool(
% 35.59/35.96 cOMBB_1015721476ol_nat( fdisj, X ), Y ) ) ) ), hBOOL(
% 35.59/35.96 hAPP_f54304608l_bool( finite_finite_nat, collect_nat( X ) ) ) }.
% 35.59/35.96 (191281) {G0,W14,D6,L2,V2,M2} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, collect_nat( cOMBS_nat_bool_bool(
% 35.59/35.96 cOMBB_1015721476ol_nat( fdisj, X ), Y ) ) ) ), hBOOL(
% 35.59/35.96 hAPP_f54304608l_bool( finite_finite_nat, collect_nat( Y ) ) ) }.
% 35.59/35.96 (191282) {G0,W19,D6,L3,V2,M3} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, collect_nat( X ) ) ), ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, collect_nat( Y ) ) ), hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, collect_nat( cOMBS_nat_bool_bool(
% 35.59/35.96 cOMBB_1015721476ol_nat( fdisj, X ), Y ) ) ) ) }.
% 35.59/35.96 (191283) {G0,W14,D6,L2,V2,M2} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 finite_finite_a, collect_a( cOMBS_a_bool_bool( cOMBB_1972296269bool_a(
% 35.59/35.96 fdisj, X ), Y ) ) ) ), hBOOL( hAPP_fun_a_bool_bool( finite_finite_a,
% 35.59/35.96 collect_a( X ) ) ) }.
% 35.59/35.96 (191284) {G0,W14,D6,L2,V2,M2} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 finite_finite_a, collect_a( cOMBS_a_bool_bool( cOMBB_1972296269bool_a(
% 35.59/35.96 fdisj, X ), Y ) ) ) ), hBOOL( hAPP_fun_a_bool_bool( finite_finite_a,
% 35.59/35.96 collect_a( Y ) ) ) }.
% 35.59/35.96 (191285) {G0,W19,D6,L3,V2,M3} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 finite_finite_a, collect_a( X ) ) ), ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 finite_finite_a, collect_a( Y ) ) ), hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 finite_finite_a, collect_a( cOMBS_a_bool_bool( cOMBB_1972296269bool_a(
% 35.59/35.96 fdisj, X ), Y ) ) ) ) }.
% 35.59/35.96 (191286) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, insert_nat( X, Y ) ) ), hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, Y ) ) }.
% 35.59/35.96 (191287) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, Y ) ), hBOOL( hAPP_f54304608l_bool( finite_finite_nat
% 35.59/35.96 , insert_nat( X, Y ) ) ) }.
% 35.59/35.96 (191288) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, insert_pname( X, Y ) ) ), hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( finite_finite_pname, Y ) ) }.
% 35.59/35.96 (191289) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, Y ) ), hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, insert_pname( X, Y ) ) ) }.
% 35.59/35.96 (191290) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 finite_finite_a, insert_a( X, Y ) ) ), hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 finite_finite_a, Y ) ) }.
% 35.59/35.96 (191291) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 finite_finite_a, Y ) ), hBOOL( hAPP_fun_a_bool_bool( finite_finite_a,
% 35.59/35.96 insert_a( X, Y ) ) ) }.
% 35.59/35.96 (191292) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f1637334154l_bool(
% 35.59/35.96 finite2012431853t_bool, insert_fun_nat_bool( X, Y ) ) ), hBOOL(
% 35.59/35.96 hAPP_f1637334154l_bool( finite2012431853t_bool, Y ) ) }.
% 35.59/35.96 (191293) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f1637334154l_bool(
% 35.59/35.96 finite2012431853t_bool, Y ) ), hBOOL( hAPP_f1637334154l_bool(
% 35.59/35.96 finite2012431853t_bool, insert_fun_nat_bool( X, Y ) ) ) }.
% 35.59/35.96 (191294) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f1935102916l_bool(
% 35.59/35.96 finite595471783e_bool, insert1325755072e_bool( X, Y ) ) ), hBOOL(
% 35.59/35.96 hAPP_f1935102916l_bool( finite595471783e_bool, Y ) ) }.
% 35.59/35.96 (191295) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f1935102916l_bool(
% 35.59/35.96 finite595471783e_bool, Y ) ), hBOOL( hAPP_f1935102916l_bool(
% 35.59/35.96 finite595471783e_bool, insert1325755072e_bool( X, Y ) ) ) }.
% 35.59/35.96 (191296) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f621171935l_bool(
% 35.59/35.96 finite347923420a_bool, insert_fun_a_bool( X, Y ) ) ), hBOOL(
% 35.59/35.96 hAPP_f621171935l_bool( finite347923420a_bool, Y ) ) }.
% 35.59/35.96 (191297) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f621171935l_bool(
% 35.59/35.96 finite347923420a_bool, Y ) ), hBOOL( hAPP_f621171935l_bool(
% 35.59/35.96 finite347923420a_bool, insert_fun_a_bool( X, Y ) ) ) }.
% 35.59/35.96 (191298) {G0,W14,D4,L3,V2,M3} { ! hBOOL( hAPP_f1637334154l_bool(
% 35.59/35.96 hAPP_f1772781669l_bool( ord_le1454342156l_bool, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_f1637334154l_bool( finite2012431853t_bool, Y ) ), hBOOL(
% 35.59/35.96 hAPP_f1637334154l_bool( finite2012431853t_bool, X ) ) }.
% 35.59/35.96 (191299) {G0,W14,D4,L3,V2,M3} { ! hBOOL( hAPP_f1935102916l_bool(
% 35.59/35.96 hAPP_f510955609l_bool( ord_le675606854l_bool, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_f1935102916l_bool( finite595471783e_bool, Y ) ), hBOOL(
% 35.59/35.96 hAPP_f1935102916l_bool( finite595471783e_bool, X ) ) }.
% 35.59/35.96 (191300) {G0,W14,D4,L3,V2,M3} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( ord_le1311769555a_bool, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( finite_finite_a, Y ) ), hBOOL( hAPP_fun_a_bool_bool
% 35.59/35.96 ( finite_finite_a, X ) ) }.
% 35.59/35.96 (191301) {G0,W14,D4,L3,V2,M3} { ! hBOOL( hAPP_f621171935l_bool(
% 35.59/35.96 hAPP_f1434722111l_bool( ord_le1375614389l_bool, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_f621171935l_bool( finite347923420a_bool, Y ) ), hBOOL(
% 35.59/35.96 hAPP_f621171935l_bool( finite347923420a_bool, X ) ) }.
% 35.59/35.96 (191302) {G0,W14,D4,L3,V2,M3} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_f103356543l_bool( ord_le1568362934t_bool, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_f54304608l_bool( finite_finite_nat, Y ) ), hBOOL(
% 35.59/35.96 hAPP_f54304608l_bool( finite_finite_nat, X ) ) }.
% 35.59/35.96 (191303) {G0,W14,D4,L3,V2,M3} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_f434788991l_bool( ord_le313189616e_bool, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( finite_finite_pname, Y ) ), hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( finite_finite_pname, X ) ) }.
% 35.59/35.96 (191304) {G0,W14,D4,L3,V2,M3} { ! hBOOL( hAPP_f1637334154l_bool(
% 35.59/35.96 finite2012431853t_bool, X ) ), ! hBOOL( hAPP_f1637334154l_bool(
% 35.59/35.96 hAPP_f1772781669l_bool( ord_le1454342156l_bool, Y ), X ) ), hBOOL(
% 35.59/35.96 hAPP_f1637334154l_bool( finite2012431853t_bool, Y ) ) }.
% 35.59/35.96 (191305) {G0,W14,D4,L3,V2,M3} { ! hBOOL( hAPP_f1935102916l_bool(
% 35.59/35.96 finite595471783e_bool, X ) ), ! hBOOL( hAPP_f1935102916l_bool(
% 35.59/35.96 hAPP_f510955609l_bool( ord_le675606854l_bool, Y ), X ) ), hBOOL(
% 35.59/35.96 hAPP_f1935102916l_bool( finite595471783e_bool, Y ) ) }.
% 35.59/35.96 (191306) {G0,W14,D4,L3,V2,M3} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 finite_finite_a, X ) ), ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( ord_le1311769555a_bool, Y ), X ) ), hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( finite_finite_a, Y ) ) }.
% 35.59/35.96 (191307) {G0,W14,D4,L3,V2,M3} { ! hBOOL( hAPP_f621171935l_bool(
% 35.59/35.96 finite347923420a_bool, X ) ), ! hBOOL( hAPP_f621171935l_bool(
% 35.59/35.96 hAPP_f1434722111l_bool( ord_le1375614389l_bool, Y ), X ) ), hBOOL(
% 35.59/35.96 hAPP_f621171935l_bool( finite347923420a_bool, Y ) ) }.
% 35.59/35.96 (191308) {G0,W14,D4,L3,V2,M3} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, X ) ), ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_f103356543l_bool( ord_le1568362934t_bool, Y ), X ) ), hBOOL(
% 35.59/35.96 hAPP_f54304608l_bool( finite_finite_nat, Y ) ) }.
% 35.59/35.96 (191309) {G0,W14,D4,L3,V2,M3} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, X ) ), ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_f434788991l_bool( ord_le313189616e_bool, Y ), X ) ), hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( finite_finite_pname, Y ) ) }.
% 35.59/35.96 (191310) {G0,W14,D5,L2,V2,M2} { ! hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, hAPP_nat_nat( suc, X ) ), Y ) )
% 35.59/35.96 , hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y )
% 35.59/35.96 ) }.
% 35.59/35.96 (191311) {G0,W19,D4,L3,V2,M3} { ! hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, X ), hAPP_nat_nat( suc, Y ) ) )
% 35.59/35.96 , hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y )
% 35.59/35.96 ), X = hAPP_nat_nat( suc, Y ) }.
% 35.59/35.96 (191312) {G0,W14,D4,L2,V2,M2} { ! hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y ) ), hBOOL( hAPP_nat_bool
% 35.59/35.96 ( hAPP_n1699378549t_bool( ord_less_eq_nat, X ), hAPP_nat_nat( suc, Y ) )
% 35.59/35.96 ) }.
% 35.59/35.96 (191313) {G0,W16,D5,L2,V2,M2} { ! hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, hAPP_nat_nat( suc, X ) ),
% 35.59/35.96 hAPP_nat_nat( suc, Y ) ) ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool
% 35.59/35.96 ( ord_less_eq_nat, X ), Y ) ) }.
% 35.59/35.96 (191314) {G0,W16,D5,L2,V2,M2} { ! hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y ) ), hBOOL( hAPP_nat_bool
% 35.59/35.96 ( hAPP_n1699378549t_bool( ord_less_eq_nat, hAPP_nat_nat( suc, X ) ),
% 35.59/35.96 hAPP_nat_nat( suc, Y ) ) ) }.
% 35.59/35.96 (191315) {G0,W19,D4,L3,V2,M3} { ! hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, X ), hAPP_nat_nat( suc, Y ) ) )
% 35.59/35.96 , hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y )
% 35.59/35.96 ), X = hAPP_nat_nat( suc, Y ) }.
% 35.59/35.96 (191316) {G0,W14,D4,L2,V2,M2} { ! hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y ) ), hBOOL( hAPP_nat_bool
% 35.59/35.96 ( hAPP_n1699378549t_bool( ord_less_eq_nat, X ), hAPP_nat_nat( suc, Y ) )
% 35.59/35.96 ) }.
% 35.59/35.96 (191317) {G0,W13,D4,L2,V2,M2} { ! X = hAPP_nat_nat( suc, Y ), hBOOL(
% 35.59/35.96 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X ), hAPP_nat_nat
% 35.59/35.96 ( suc, Y ) ) ) }.
% 35.59/35.96 (191318) {G0,W14,D5,L2,V2,M2} { hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y ) ), hBOOL( hAPP_nat_bool
% 35.59/35.96 ( hAPP_n1699378549t_bool( ord_less_eq_nat, hAPP_nat_nat( suc, Y ) ), X )
% 35.59/35.96 ) }.
% 35.59/35.96 (191319) {G0,W14,D5,L2,V2,M2} { ! hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, hAPP_nat_nat( suc, Y ) ), X ) )
% 35.59/35.96 , ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y
% 35.59/35.96 ) ) }.
% 35.59/35.96 (191320) {G0,W8,D5,L1,V1,M1} { ! hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, hAPP_nat_nat( suc, X ) ), X ) )
% 35.59/35.96 }.
% 35.59/35.96 (191321) {G0,W19,D7,L1,V3,M1} { hAPP_nat_nat( minus_minus_nat(
% 35.59/35.96 hAPP_nat_nat( minus_minus_nat( hAPP_nat_nat( suc, X ) ), Y ) ),
% 35.59/35.96 hAPP_nat_nat( suc, Z ) ) = hAPP_nat_nat( minus_minus_nat( hAPP_nat_nat(
% 35.59/35.96 minus_minus_nat( X ), Y ) ), Z ) }.
% 35.59/35.96 (191322) {G0,W13,D5,L1,V2,M1} { hAPP_nat_nat( minus_minus_nat(
% 35.59/35.96 hAPP_nat_nat( suc, X ) ), hAPP_nat_nat( suc, Y ) ) = hAPP_nat_nat(
% 35.59/35.96 minus_minus_nat( X ), Y ) }.
% 35.59/35.96 (191323) {G0,W30,D6,L4,V3,M4} { ! hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Z ) ), !
% 35.59/35.96 hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 35.59/35.96 hAPP_nat_nat( minus_minus_nat( Y ), X ) ), hAPP_nat_nat( minus_minus_nat
% 35.59/35.96 ( Z ), X ) ) ), hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool(
% 35.59/35.96 ord_less_eq_nat, Y ), Z ) ) }.
% 35.59/35.96 (191324) {G0,W30,D6,L4,V3,M4} { ! hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Z ) ), !
% 35.59/35.96 hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, Y ), Z ) )
% 35.59/35.96 , hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat,
% 35.59/35.96 hAPP_nat_nat( minus_minus_nat( Y ), X ) ), hAPP_nat_nat( minus_minus_nat
% 35.59/35.96 ( Z ), X ) ) ) }.
% 35.59/35.96 (191325) {G0,W27,D6,L3,V3,M3} { ! hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Z ) ),
% 35.59/35.96 hAPP_nat_nat( minus_minus_nat( hAPP_nat_nat( minus_minus_nat( Y ), X ) )
% 35.59/35.96 , hAPP_nat_nat( minus_minus_nat( Z ), X ) ) = hAPP_nat_nat(
% 35.59/35.96 minus_minus_nat( Y ), Z ) }.
% 35.59/35.96 (191326) {G0,W24,D4,L4,V3,M4} { ! hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Z ) ), !
% 35.59/35.96 hAPP_nat_nat( minus_minus_nat( Y ), X ) = hAPP_nat_nat( minus_minus_nat(
% 35.59/35.96 Z ), X ), Y = Z }.
% 35.59/35.96 (191327) {G0,W24,D4,L4,V3,M4} { ! hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Z ) ), ! Y =
% 35.59/35.96 Z, hAPP_nat_nat( minus_minus_nat( Y ), X ) = hAPP_nat_nat(
% 35.59/35.96 minus_minus_nat( Z ), X ) }.
% 35.59/35.96 (191328) {G0,W15,D5,L2,V2,M2} { ! hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y ) ), hAPP_nat_nat(
% 35.59/35.96 minus_minus_nat( Y ), hAPP_nat_nat( minus_minus_nat( Y ), X ) ) = X }.
% 35.59/35.96 (191329) {G0,W18,D6,L2,V3,M2} { ! hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y ) ), hBOOL( hAPP_nat_bool
% 35.59/35.96 ( hAPP_n1699378549t_bool( ord_less_eq_nat, hAPP_nat_nat( minus_minus_nat
% 35.59/35.96 ( X ), Z ) ), hAPP_nat_nat( minus_minus_nat( Y ), Z ) ) ) }.
% 35.59/35.96 (191330) {G0,W18,D6,L2,V3,M2} { ! hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, X ), Y ) ), hBOOL( hAPP_nat_bool
% 35.59/35.96 ( hAPP_n1699378549t_bool( ord_less_eq_nat, hAPP_nat_nat( minus_minus_nat
% 35.59/35.96 ( Z ), Y ) ), hAPP_nat_nat( minus_minus_nat( Z ), X ) ) ) }.
% 35.59/35.96 (191331) {G0,W9,D6,L1,V2,M1} { hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, hAPP_nat_nat( minus_minus_nat( X
% 35.59/35.96 ), Y ) ), X ) ) }.
% 35.59/35.96 (191332) {G0,W16,D4,L3,V3,M3} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, X ) ), ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( ord_le1311769555a_bool, Y ), image_pname_a( Z, X
% 35.59/35.96 ) ) ), hBOOL( hAPP_fun_a_bool_bool( finite_finite_a, Y ) ) }.
% 35.59/35.96 (191333) {G0,W20,D4,L4,V5,M4} { ! is_fun_a_bool( X ), ! hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( finite_finite_a, X ) ), ! hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool, X )
% 35.59/35.96 , image_pname_a( Y, Z ) ) ), alpha3( Z, skol1( T, U, Z ) ) }.
% 35.59/35.96 (191334) {G0,W22,D4,L4,V3,M4} { ! is_fun_a_bool( X ), ! hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( finite_finite_a, X ) ), ! hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool, X )
% 35.59/35.96 , image_pname_a( Y, Z ) ) ), X = image_pname_a( Y, skol1( X, Y, Z ) ) }.
% 35.59/35.96 (191335) {G0,W5,D2,L2,V2,M2} { ! alpha3( X, Y ), is_fun_pname_bool( Y )
% 35.59/35.96 }.
% 35.59/35.96 (191336) {G0,W9,D4,L2,V2,M2} { ! alpha3( X, Y ), hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( hAPP_f434788991l_bool( ord_le313189616e_bool, Y )
% 35.59/35.96 , X ) ) }.
% 35.59/35.96 (191337) {G0,W7,D3,L2,V2,M2} { ! alpha3( X, Y ), hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( finite_finite_pname, Y ) ) }.
% 35.59/35.96 (191338) {G0,W15,D4,L4,V2,M4} { ! is_fun_pname_bool( Y ), ! hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( hAPP_f434788991l_bool( ord_le313189616e_bool, Y )
% 35.59/35.96 , X ) ), ! hBOOL( hAPP_f1664156314l_bool( finite_finite_pname, Y ) ),
% 35.59/35.96 alpha3( X, Y ) }.
% 35.59/35.96 (191339) {G0,W30,D6,L3,V3,M3} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_f103356543l_bool( ord_le1568362934t_bool, hAPP_n1699378549t_bool( X
% 35.59/35.96 , skol2( X ) ) ), hAPP_n1699378549t_bool( X, hAPP_nat_nat( suc, skol2( X
% 35.59/35.96 ) ) ) ) ), ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool(
% 35.59/35.96 ord_less_eq_nat, Y ), Z ) ), hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_f103356543l_bool( ord_le1568362934t_bool, hAPP_n1699378549t_bool( X
% 35.59/35.96 , Y ) ), hAPP_n1699378549t_bool( X, Z ) ) ) }.
% 35.59/35.96 (191340) {G0,W30,D6,L3,V3,M3} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_f434788991l_bool( ord_le313189616e_bool, hAPP_n1025906991e_bool( X,
% 35.59/35.96 skol3( X ) ) ), hAPP_n1025906991e_bool( X, hAPP_nat_nat( suc, skol3( X )
% 35.59/35.96 ) ) ) ), ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat
% 35.59/35.96 , Y ), Z ) ), hBOOL( hAPP_f1664156314l_bool( hAPP_f434788991l_bool(
% 35.59/35.96 ord_le313189616e_bool, hAPP_n1025906991e_bool( X, Y ) ),
% 35.59/35.96 hAPP_n1025906991e_bool( X, Z ) ) ) }.
% 35.59/35.96 (191341) {G0,W30,D6,L3,V3,M3} { ! hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, hAPP_nat_nat( X, skol4( X ) ) )
% 35.59/35.96 , hAPP_nat_nat( X, hAPP_nat_nat( suc, skol4( X ) ) ) ) ), ! hBOOL(
% 35.59/35.96 hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, Y ), Z ) ), hBOOL
% 35.59/35.96 ( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, hAPP_nat_nat( X
% 35.59/35.96 , Y ) ), hAPP_nat_nat( X, Z ) ) ) }.
% 35.59/35.96 (191342) {G0,W30,D6,L3,V3,M3} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( ord_le1311769555a_bool, hAPP_nat_fun_a_bool( X,
% 35.59/35.96 skol5( X ) ) ), hAPP_nat_fun_a_bool( X, hAPP_nat_nat( suc, skol5( X ) ) )
% 35.59/35.96 ) ), ! hBOOL( hAPP_nat_bool( hAPP_n1699378549t_bool( ord_less_eq_nat, Y
% 35.59/35.96 ), Z ) ), hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 35.59/35.96 ord_le1311769555a_bool, hAPP_nat_fun_a_bool( X, Y ) ),
% 35.59/35.96 hAPP_nat_fun_a_bool( X, Z ) ) ) }.
% 35.59/35.96 (191343) {G0,W14,D4,L3,V4,M3} { hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, X ) ), ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 finite_finite_a, image_pname_a( Y, X ) ) ), is_pname( skol6( Z, T ) ) }.
% 35.59/35.96 (191344) {G0,W18,D5,L3,V3,M3} { hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, X ) ), ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 finite_finite_a, image_pname_a( Y, X ) ) ), hBOOL( hAPP_f1664156314l_bool
% 35.59/35.96 ( hAPP_p338031245l_bool( member_pname, skol6( X, Z ) ), X ) ) }.
% 35.59/35.96 (191345) {G0,W31,D8,L3,V2,M3} { hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, X ) ), ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 finite_finite_a, image_pname_a( Y, X ) ) ), ! hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( finite_finite_pname, collect_pname(
% 35.59/35.96 cOMBS_568398431l_bool( cOMBB_675860798_pname( fconj,
% 35.59/35.96 hAPP_f759274231e_bool( cOMBC_1058051404l_bool( member_pname ), X ) ),
% 35.59/35.96 hAPP_a93125764e_bool( cOMBC_pname_a_bool( cOMBB_1897541054_pname(
% 35.59/35.96 fequal_a, Y ) ), hAPP_pname_a( Y, skol6( X, Y ) ) ) ) ) ) ) }.
% 35.59/35.96 (191346) {G0,W19,D4,L3,V4,M3} { ! X = hAPP_pname_a( Y, Z ), ! hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, Z ), T ) ),
% 35.59/35.96 hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, X ),
% 35.59/35.96 image_pname_a( Y, T ) ) ) }.
% 35.59/35.96 (191347) {G0,W15,D4,L3,V2,M3} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_f103356543l_bool( ord_le1568362934t_bool, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_f54304608l_bool( hAPP_f103356543l_bool( ord_le1568362934t_bool, Y )
% 35.59/35.96 , X ) ), X = Y }.
% 35.59/35.96 (191348) {G0,W19,D4,L5,V2,M5} { ! is_fun_pname_bool( X ), !
% 35.59/35.96 is_fun_pname_bool( Y ), ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_f434788991l_bool( ord_le313189616e_bool, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( hAPP_f434788991l_bool( ord_le313189616e_bool, Y )
% 35.59/35.96 , X ) ), X = Y }.
% 35.59/35.96 (191349) {G0,W19,D4,L5,V2,M5} { ! is_fun_a_bool( X ), ! is_fun_a_bool( Y )
% 35.59/35.96 , ! hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 35.59/35.96 ord_le1311769555a_bool, X ), Y ) ), ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( ord_le1311769555a_bool, Y ), X ) ), X = Y }.
% 35.59/35.96 (191350) {G0,W18,D4,L3,V3,M3} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_f103356543l_bool( ord_le1568362934t_bool, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, Z ), X ) ),
% 35.59/35.96 hBOOL( hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, Z ), Y )
% 35.59/35.96 ) }.
% 35.59/35.96 (191351) {G0,W18,D4,L3,V3,M3} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( ord_le1311769555a_bool, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, Z ), X ) ), hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, Z ), Y ) ) }.
% 35.59/35.96 (191352) {G0,W18,D4,L3,V3,M3} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_f434788991l_bool( ord_le313189616e_bool, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, Z ), X ) ),
% 35.59/35.96 hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, Z ),
% 35.59/35.96 Y ) ) }.
% 35.59/35.96 (191353) {G0,W14,D4,L2,V3,M2} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_n215258509l_bool( member_nat, Y ), Z ) ), hBOOL(
% 35.59/35.96 hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, Y ), insert_nat
% 35.59/35.96 ( X, Z ) ) ) }.
% 35.59/35.96 (191354) {G0,W11,D4,L2,V3,M2} { ! Y = X, hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_n215258509l_bool( member_nat, Y ), insert_nat( X, Z ) ) ) }.
% 35.59/35.96 (191355) {G0,W14,D4,L2,V3,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_p338031245l_bool( member_pname, Y ), Z ) ), hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, Y ),
% 35.59/35.96 insert_pname( X, Z ) ) ) }.
% 35.59/35.96 (191356) {G0,W11,D4,L2,V3,M2} { ! Y = X, hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_p338031245l_bool( member_pname, Y ), insert_pname( X, Z ) ) ) }.
% 35.59/35.96 (191357) {G0,W14,D4,L2,V3,M2} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_a85458249l_bool( member_a, Y ), Z ) ), hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_a85458249l_bool( member_a, Y ), insert_a( X, Z ) ) ) }.
% 35.59/35.96 (191358) {G0,W11,D4,L2,V3,M2} { ! Y = X, hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_a85458249l_bool( member_a, Y ), insert_a( X, Z ) ) ) }.
% 35.59/35.96 (191359) {G0,W17,D4,L3,V3,M3} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_n215258509l_bool( member_nat, X ), insert_nat( Y, Z ) ) ), X = Y,
% 35.59/35.96 hBOOL( hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, X ), Z )
% 35.59/35.96 ) }.
% 35.59/35.96 (191360) {G0,W21,D4,L5,V3,M5} { ! is_pname( X ), ! is_pname( Y ), ! hBOOL
% 35.59/35.96 ( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, X ),
% 35.59/35.96 insert_pname( Y, Z ) ) ), X = Y, hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_p338031245l_bool( member_pname, X ), Z ) ) }.
% 35.59/35.96 (191361) {G0,W21,D4,L5,V3,M5} { ! is_a( X ), ! is_a( Y ), ! hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, X ), insert_a( Y, Z
% 35.59/35.96 ) ) ), X = Y, hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool(
% 35.59/35.96 member_a, X ), Z ) ) }.
% 35.59/35.96 (191362) {G0,W8,D4,L1,V2,M1} { hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_n215258509l_bool( member_nat, X ), insert_nat( X, Y ) ) ) }.
% 35.59/35.96 (191363) {G0,W8,D4,L1,V2,M1} { hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_p338031245l_bool( member_pname, X ), insert_pname( X, Y ) ) ) }.
% 35.59/35.96 (191364) {G0,W8,D4,L1,V2,M1} { hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_a85458249l_bool( member_a, X ), insert_a( X, Y ) ) ) }.
% 35.59/35.96 (191365) {G0,W16,D7,L1,V2,M1} { insert_nat( X, Y ) = collect_nat(
% 35.59/35.96 cOMBS_nat_bool_bool( cOMBB_1015721476ol_nat( fdisj,
% 35.59/35.96 hAPP_n1699378549t_bool( cOMBC_nat_nat_bool( fequal_nat ), X ) ),
% 35.59/35.96 hAPP_f800510211t_bool( cOMBC_226598744l_bool( member_nat ), Y ) ) ) }.
% 35.59/35.96 (191366) {G0,W16,D7,L1,V2,M1} { insert_pname( X, Y ) = collect_pname(
% 35.59/35.96 cOMBS_568398431l_bool( cOMBB_675860798_pname( fdisj, hAPP_p61793385e_bool
% 35.59/35.96 ( cOMBC_1149511130e_bool( fequal_pname ), X ) ), hAPP_f759274231e_bool(
% 35.59/35.96 cOMBC_1058051404l_bool( member_pname ), Y ) ) ) }.
% 35.59/35.96 (191367) {G0,W16,D7,L1,V2,M1} { insert_a( X, Y ) = collect_a(
% 35.59/35.96 cOMBS_a_bool_bool( cOMBB_1972296269bool_a( fdisj, hAPP_a_fun_a_bool(
% 35.59/35.96 cOMBC_a_a_bool( fequal_a ), X ) ), hAPP_f2050579477a_bool(
% 35.59/35.96 cOMBC_1355376034l_bool( member_a ), Y ) ) ) }.
% 35.59/35.96 (191368) {G0,W16,D7,L1,V2,M1} { insert_fun_nat_bool( X, Y ) =
% 35.59/35.96 collect_fun_nat_bool( cOMBS_1187019125l_bool( cOMBB_444170502t_bool(
% 35.59/35.96 fdisj, hAPP_f103356543l_bool( cOMBC_1693257480l_bool( fequal_fun_nat_bool
% 35.59/35.96 ), X ) ), hAPP_f1246832597l_bool( cOMBC_1245412066l_bool(
% 35.59/35.96 member_fun_nat_bool ), Y ) ) ) }.
% 35.59/35.96 (191369) {G0,W16,D7,L1,V2,M1} { insert1325755072e_bool( X, Y ) =
% 35.59/35.96 collec1974731493e_bool( cOMBS_350070575l_bool( cOMBB_2095475776e_bool(
% 35.59/35.96 fdisj, hAPP_f434788991l_bool( cOMBC_1284144636l_bool(
% 35.59/35.96 fequal533582459e_bool ), X ) ), hAPP_f559147733l_bool(
% 35.59/35.96 cOMBC_1988546018l_bool( member799430823e_bool ), Y ) ) ) }.
% 35.59/35.96 (191370) {G0,W16,D7,L1,V2,M1} { insert_fun_a_bool( X, Y ) =
% 35.59/35.96 collect_fun_a_bool( cOMBS_1035972772l_bool( cOMBB_338059395a_bool( fdisj
% 35.59/35.96 , hAPP_f1631501043l_bool( cOMBC_1732670874l_bool( fequal_fun_a_bool ), X
% 35.59/35.96 ) ), hAPP_f2117159681l_bool( cOMBC_1880041174l_bool( member_fun_a_bool )
% 35.59/35.96 , Y ) ) ) }.
% 35.59/35.96 (191371) {G0,W16,D8,L1,V2,M1} { insert_nat( X, collect_nat( Y ) ) =
% 35.59/35.96 collect_nat( cOMBS_nat_bool_bool( cOMBB_1015721476ol_nat( fimplies,
% 35.59/35.96 cOMBB_bool_bool_nat( fNot, hAPP_n1699378549t_bool( cOMBC_nat_nat_bool(
% 35.59/35.96 fequal_nat ), X ) ) ), Y ) ) }.
% 35.59/35.96 (191372) {G0,W16,D8,L1,V2,M1} { insert_pname( X, collect_pname( Y ) ) =
% 35.59/35.96 collect_pname( cOMBS_568398431l_bool( cOMBB_675860798_pname( fimplies,
% 35.59/35.96 cOMBB_647938656_pname( fNot, hAPP_p61793385e_bool( cOMBC_1149511130e_bool
% 35.59/35.96 ( fequal_pname ), X ) ) ), Y ) ) }.
% 35.59/35.96 (191373) {G0,W16,D8,L1,V2,M1} { insert_a( X, collect_a( Y ) ) = collect_a
% 35.59/35.96 ( cOMBS_a_bool_bool( cOMBB_1972296269bool_a( fimplies, cOMBB_bool_bool_a
% 35.59/35.96 ( fNot, hAPP_a_fun_a_bool( cOMBC_a_a_bool( fequal_a ), X ) ) ), Y ) ) }.
% 35.59/35.96 (191374) {G0,W16,D8,L1,V2,M1} { insert_fun_nat_bool( X,
% 35.59/35.96 collect_fun_nat_bool( Y ) ) = collect_fun_nat_bool(
% 35.59/35.96 cOMBS_1187019125l_bool( cOMBB_444170502t_bool( fimplies,
% 35.59/35.96 cOMBB_238756964t_bool( fNot, hAPP_f103356543l_bool(
% 35.59/35.96 cOMBC_1693257480l_bool( fequal_fun_nat_bool ), X ) ) ), Y ) ) }.
% 35.59/35.96 (191375) {G0,W16,D8,L1,V2,M1} { insert1325755072e_bool( X,
% 35.59/35.96 collec1974731493e_bool( Y ) ) = collec1974731493e_bool(
% 35.59/35.96 cOMBS_350070575l_bool( cOMBB_2095475776e_bool( fimplies,
% 35.59/35.96 cOMBB_307249310e_bool( fNot, hAPP_f434788991l_bool(
% 35.59/35.96 cOMBC_1284144636l_bool( fequal533582459e_bool ), X ) ) ), Y ) ) }.
% 35.59/35.96 (191376) {G0,W16,D8,L1,V2,M1} { insert_fun_a_bool( X, collect_fun_a_bool(
% 35.59/35.96 Y ) ) = collect_fun_a_bool( cOMBS_1035972772l_bool( cOMBB_338059395a_bool
% 35.59/35.96 ( fimplies, cOMBB_2140588453a_bool( fNot, hAPP_f1631501043l_bool(
% 35.59/35.96 cOMBC_1732670874l_bool( fequal_fun_a_bool ), X ) ) ), Y ) ) }.
% 35.59/35.96 (191377) {G0,W9,D4,L1,V2,M1} { insert_nat( X, insert_nat( X, Y ) ) =
% 35.59/35.96 insert_nat( X, Y ) }.
% 35.59/35.96 (191378) {G0,W9,D4,L1,V2,M1} { insert_pname( X, insert_pname( X, Y ) ) =
% 35.59/35.96 insert_pname( X, Y ) }.
% 35.59/35.96 (191379) {G0,W9,D4,L1,V2,M1} { insert_a( X, insert_a( X, Y ) ) = insert_a
% 35.59/35.96 ( X, Y ) }.
% 35.59/35.96 (191380) {G0,W11,D4,L1,V3,M1} { insert_nat( X, insert_nat( Y, Z ) ) =
% 35.59/35.96 insert_nat( Y, insert_nat( X, Z ) ) }.
% 35.59/35.96 (191381) {G0,W11,D4,L1,V3,M1} { insert_pname( X, insert_pname( Y, Z ) ) =
% 35.59/35.96 insert_pname( Y, insert_pname( X, Z ) ) }.
% 35.59/35.96 (191382) {G0,W11,D4,L1,V3,M1} { insert_a( X, insert_a( Y, Z ) ) = insert_a
% 35.59/35.96 ( Y, insert_a( X, Z ) ) }.
% 35.59/35.96 (191383) {G0,W17,D4,L3,V3,M3} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_n215258509l_bool( member_nat, X ), insert_nat( Y, Z ) ) ), X = Y,
% 35.59/35.96 hBOOL( hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, X ), Z )
% 35.59/35.96 ) }.
% 35.59/35.96 (191384) {G0,W11,D4,L2,V3,M2} { ! X = Y, hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_n215258509l_bool( member_nat, X ), insert_nat( Y, Z ) ) ) }.
% 35.59/35.96 (191385) {G0,W14,D4,L2,V3,M2} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_n215258509l_bool( member_nat, X ), Z ) ), hBOOL(
% 35.59/35.96 hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, X ), insert_nat
% 35.59/35.96 ( Y, Z ) ) ) }.
% 35.59/35.96 (191386) {G0,W21,D4,L5,V3,M5} { ! is_pname( X ), ! is_pname( Y ), ! hBOOL
% 35.59/35.96 ( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, X ),
% 35.59/35.96 insert_pname( Y, Z ) ) ), X = Y, hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_p338031245l_bool( member_pname, X ), Z ) ) }.
% 35.59/35.96 (191387) {G0,W15,D4,L4,V3,M4} { ! is_pname( X ), ! is_pname( Y ), ! X = Y
% 35.59/35.96 , hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, X )
% 35.59/35.96 , insert_pname( Y, Z ) ) ) }.
% 35.59/35.96 (191388) {G0,W18,D4,L4,V3,M4} { ! is_pname( X ), ! is_pname( Y ), ! hBOOL
% 35.59/35.96 ( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, X ), Z ) )
% 35.59/35.96 , hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, X )
% 35.59/35.96 , insert_pname( Y, Z ) ) ) }.
% 35.59/35.96 (191389) {G0,W21,D4,L5,V3,M5} { ! is_a( X ), ! is_a( Y ), ! hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, X ), insert_a( Y, Z
% 35.59/35.96 ) ) ), X = Y, hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool(
% 35.59/35.96 member_a, X ), Z ) ) }.
% 35.59/35.96 (191390) {G0,W15,D4,L4,V3,M4} { ! is_a( X ), ! is_a( Y ), ! X = Y, hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, X ), insert_a( Y, Z
% 35.59/35.96 ) ) ) }.
% 35.59/35.96 (191391) {G0,W18,D4,L4,V3,M4} { ! is_a( X ), ! is_a( Y ), ! hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, X ), Z ) ), hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, X ), insert_a( Y, Z
% 35.59/35.96 ) ) ) }.
% 35.59/35.96 (191392) {G0,W13,D4,L3,V3,M3} { ! hBOOL( hAPP_nat_bool( insert_nat( X, Y )
% 35.59/35.96 , Z ) ), X = Z, hBOOL( hAPP_nat_bool( Y, Z ) ) }.
% 35.59/35.96 (191393) {G0,W9,D4,L2,V3,M2} { ! X = Z, hBOOL( hAPP_nat_bool( insert_nat(
% 35.59/35.96 X, Y ), Z ) ) }.
% 35.59/35.96 (191394) {G0,W10,D4,L2,V3,M2} { ! hBOOL( hAPP_nat_bool( Y, Z ) ), hBOOL(
% 35.59/35.96 hAPP_nat_bool( insert_nat( X, Y ), Z ) ) }.
% 35.59/35.96 (191395) {G0,W17,D4,L5,V3,M5} { ! is_pname( X ), ! is_pname( Y ), ! hBOOL
% 35.59/35.96 ( hAPP_pname_bool( insert_pname( X, Z ), Y ) ), X = Y, hBOOL(
% 35.59/35.96 hAPP_pname_bool( Z, Y ) ) }.
% 35.59/35.96 (191396) {G0,W13,D4,L4,V3,M4} { ! is_pname( X ), ! is_pname( Y ), ! X = Y
% 35.59/35.96 , hBOOL( hAPP_pname_bool( insert_pname( X, Z ), Y ) ) }.
% 35.59/35.96 (191397) {G0,W14,D4,L4,V3,M4} { ! is_pname( X ), ! is_pname( Y ), ! hBOOL
% 35.59/35.96 ( hAPP_pname_bool( Z, Y ) ), hBOOL( hAPP_pname_bool( insert_pname( X, Z )
% 35.59/35.96 , Y ) ) }.
% 35.59/35.96 (191398) {G0,W17,D4,L5,V3,M5} { ! is_a( X ), ! is_a( Y ), ! hBOOL(
% 35.59/35.96 hAPP_a_bool( insert_a( X, Z ), Y ) ), X = Y, hBOOL( hAPP_a_bool( Z, Y ) )
% 35.59/35.96 }.
% 35.59/35.96 (191399) {G0,W13,D4,L4,V3,M4} { ! is_a( X ), ! is_a( Y ), ! X = Y, hBOOL(
% 35.59/35.96 hAPP_a_bool( insert_a( X, Z ), Y ) ) }.
% 35.59/35.96 (191400) {G0,W14,D4,L4,V3,M4} { ! is_a( X ), ! is_a( Y ), ! hBOOL(
% 35.59/35.96 hAPP_a_bool( Z, Y ) ), hBOOL( hAPP_a_bool( insert_a( X, Z ), Y ) ) }.
% 35.59/35.96 (191401) {G0,W22,D4,L4,V3,M4} { hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_n215258509l_bool( member_nat, X ), Y ) ), hBOOL(
% 35.59/35.96 hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, X ), Z ) ), !
% 35.59/35.96 insert_nat( X, Y ) = insert_nat( X, Z ), Y = Z }.
% 35.59/35.96 (191402) {G0,W22,D4,L4,V3,M4} { hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_n215258509l_bool( member_nat, X ), Y ) ), hBOOL(
% 35.59/35.96 hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, X ), Z ) ), ! Y
% 35.59/35.96 = Z, insert_nat( X, Y ) = insert_nat( X, Z ) }.
% 35.59/35.96 (191403) {G0,W26,D4,L6,V3,M6} { ! is_fun_pname_bool( X ), !
% 35.59/35.96 is_fun_pname_bool( Y ), hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_p338031245l_bool( member_pname, Z ), Y ) ), hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, Z ), X ) ),
% 35.59/35.96 ! insert_pname( Z, Y ) = insert_pname( Z, X ), Y = X }.
% 35.59/35.96 (191404) {G0,W26,D4,L6,V3,M6} { ! is_fun_pname_bool( X ), !
% 35.59/35.96 is_fun_pname_bool( Y ), hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_p338031245l_bool( member_pname, Z ), Y ) ), hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, Z ), X ) ),
% 35.59/35.96 ! Y = X, insert_pname( Z, Y ) = insert_pname( Z, X ) }.
% 35.59/35.96 (191405) {G0,W26,D4,L6,V3,M6} { ! is_fun_a_bool( X ), ! is_fun_a_bool( Y )
% 35.59/35.96 , hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, Z ), Y ) )
% 35.59/35.96 , hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, Z ), X ) )
% 35.59/35.96 , ! insert_a( Z, Y ) = insert_a( Z, X ), Y = X }.
% 35.59/35.96 (191406) {G0,W26,D4,L6,V3,M6} { ! is_fun_a_bool( X ), ! is_fun_a_bool( Y )
% 35.59/35.96 , hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, Z ), Y ) )
% 35.59/35.96 , hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, Z ), X ) )
% 35.59/35.96 , ! Y = X, insert_a( Z, Y ) = insert_a( Z, X ) }.
% 35.59/35.96 (191407) {G0,W14,D4,L2,V3,M2} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_n215258509l_bool( member_nat, X ), Y ) ), hBOOL(
% 35.59/35.96 hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, X ), insert_nat
% 35.59/35.96 ( Z, Y ) ) ) }.
% 35.59/35.96 (191408) {G0,W14,D4,L2,V3,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_p338031245l_bool( member_pname, X ), Y ) ), hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, X ),
% 35.59/35.96 insert_pname( Z, Y ) ) ) }.
% 35.59/35.96 (191409) {G0,W14,D4,L2,V3,M2} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_a85458249l_bool( member_a, X ), Y ) ), hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_a85458249l_bool( member_a, X ), insert_a( Z, Y ) ) ) }.
% 35.59/35.96 (191410) {G0,W11,D4,L2,V2,M2} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_n215258509l_bool( member_nat, X ), Y ) ), insert_nat( X, Y ) = Y }.
% 35.59/35.96 (191411) {G0,W13,D4,L3,V2,M3} { ! is_fun_pname_bool( X ), ! hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, Y ), X ) ),
% 35.59/35.96 insert_pname( Y, X ) = X }.
% 35.59/35.96 (191412) {G0,W13,D4,L3,V2,M3} { ! is_fun_a_bool( X ), ! hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, Y ), X ) ),
% 35.59/35.96 insert_a( Y, X ) = X }.
% 35.59/35.96 (191413) {G0,W6,D4,L1,V1,M1} { hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_f103356543l_bool( ord_le1568362934t_bool, X ), X ) ) }.
% 35.59/35.96 (191414) {G0,W6,D4,L1,V1,M1} { hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_f434788991l_bool( ord_le313189616e_bool, X ), X ) ) }.
% 35.59/35.96 (191415) {G0,W6,D4,L1,V1,M1} { hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( ord_le1311769555a_bool, X ), X ) ) }.
% 35.59/35.96 (191416) {G0,W9,D4,L2,V2,M2} { ! X = Y, hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_f103356543l_bool( ord_le1568362934t_bool, X ), Y ) ) }.
% 35.59/35.96 (191417) {G0,W9,D4,L2,V2,M2} { ! X = Y, hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_f103356543l_bool( ord_le1568362934t_bool, Y ), X ) ) }.
% 35.59/35.96 (191418) {G0,W15,D4,L3,V2,M3} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_f103356543l_bool( ord_le1568362934t_bool, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_f54304608l_bool( hAPP_f103356543l_bool( ord_le1568362934t_bool, Y )
% 35.59/35.96 , X ) ), X = Y }.
% 35.59/35.96 (191419) {G0,W13,D4,L4,V2,M4} { ! is_fun_pname_bool( X ), !
% 35.59/35.96 is_fun_pname_bool( Y ), ! X = Y, hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_f434788991l_bool( ord_le313189616e_bool, X ), Y ) ) }.
% 35.59/35.96 (191420) {G0,W13,D4,L4,V2,M4} { ! is_fun_pname_bool( X ), !
% 35.59/35.96 is_fun_pname_bool( Y ), ! X = Y, hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_f434788991l_bool( ord_le313189616e_bool, Y ), X ) ) }.
% 35.59/35.96 (191421) {G0,W19,D4,L5,V2,M5} { ! is_fun_pname_bool( X ), !
% 35.59/35.96 is_fun_pname_bool( Y ), ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_f434788991l_bool( ord_le313189616e_bool, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( hAPP_f434788991l_bool( ord_le313189616e_bool, Y )
% 35.59/35.96 , X ) ), X = Y }.
% 35.59/35.96 (191422) {G0,W13,D4,L4,V2,M4} { ! is_fun_a_bool( X ), ! is_fun_a_bool( Y )
% 35.59/35.96 , ! X = Y, hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 35.59/35.96 ord_le1311769555a_bool, X ), Y ) ) }.
% 35.59/35.96 (191423) {G0,W13,D4,L4,V2,M4} { ! is_fun_a_bool( X ), ! is_fun_a_bool( Y )
% 35.59/35.96 , ! X = Y, hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 35.59/35.96 ord_le1311769555a_bool, Y ), X ) ) }.
% 35.59/35.96 (191424) {G0,W19,D4,L5,V2,M5} { ! is_fun_a_bool( X ), ! is_fun_a_bool( Y )
% 35.59/35.96 , ! hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 35.59/35.96 ord_le1311769555a_bool, X ), Y ) ), ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( ord_le1311769555a_bool, Y ), X ) ), X = Y }.
% 35.59/35.96 (191425) {G0,W9,D4,L2,V2,M2} { ! X = Y, hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_f103356543l_bool( ord_le1568362934t_bool, X ), Y ) ) }.
% 35.59/35.96 (191426) {G0,W9,D4,L2,V2,M2} { ! X = Y, hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_f434788991l_bool( ord_le313189616e_bool, X ), Y ) ) }.
% 35.59/35.96 (191427) {G0,W9,D4,L2,V2,M2} { ! X = Y, hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( ord_le1311769555a_bool, X ), Y ) ) }.
% 35.59/35.96 (191428) {G0,W9,D4,L2,V2,M2} { ! X = Y, hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_f103356543l_bool( ord_le1568362934t_bool, Y ), X ) ) }.
% 35.59/35.96 (191429) {G0,W9,D4,L2,V2,M2} { ! X = Y, hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_f434788991l_bool( ord_le313189616e_bool, Y ), X ) ) }.
% 35.59/35.96 (191430) {G0,W9,D4,L2,V2,M2} { ! X = Y, hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( ord_le1311769555a_bool, Y ), X ) ) }.
% 35.59/35.96 (191431) {G0,W18,D4,L3,V3,M3} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_f103356543l_bool( ord_le1568362934t_bool, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, Z ), X ) ),
% 35.59/35.96 hBOOL( hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, Z ), Y )
% 35.59/35.96 ) }.
% 35.59/35.96 (191432) {G0,W18,D4,L3,V3,M3} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( ord_le1311769555a_bool, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, Z ), X ) ), hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, Z ), Y ) ) }.
% 35.59/35.96 (191433) {G0,W18,D4,L3,V3,M3} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_f434788991l_bool( ord_le313189616e_bool, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, Z ), X ) ),
% 35.59/35.96 hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, Z ),
% 35.59/35.96 Y ) ) }.
% 35.59/35.96 (191434) {G0,W18,D4,L3,V3,M3} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_n215258509l_bool( member_nat, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_f54304608l_bool( hAPP_f103356543l_bool( ord_le1568362934t_bool, Y )
% 35.59/35.96 , Z ) ), hBOOL( hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat,
% 35.59/35.96 X ), Z ) ) }.
% 35.59/35.96 (191435) {G0,W18,D4,L3,V3,M3} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_a85458249l_bool( member_a, X ), Y ) ), ! hBOOL( hAPP_fun_a_bool_bool
% 35.59/35.96 ( hAPP_f1631501043l_bool( ord_le1311769555a_bool, Y ), Z ) ), hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, X ), Z ) ) }.
% 35.59/35.96 (191436) {G0,W18,D4,L3,V3,M3} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_p338031245l_bool( member_pname, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( hAPP_f434788991l_bool( ord_le313189616e_bool, Y )
% 35.59/35.96 , Z ) ), hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool(
% 35.59/35.96 member_pname, X ), Z ) ) }.
% 35.59/35.96 (191437) {G0,W18,D4,L3,V3,M3} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_f103356543l_bool( ord_le1568362934t_bool, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, Z ), X ) ),
% 35.59/35.96 hBOOL( hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, Z ), Y )
% 35.59/35.96 ) }.
% 35.59/35.96 (191438) {G0,W18,D4,L3,V3,M3} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( ord_le1311769555a_bool, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, Z ), X ) ), hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, Z ), Y ) ) }.
% 35.59/35.96 (191439) {G0,W18,D4,L3,V3,M3} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_f434788991l_bool( ord_le313189616e_bool, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, Z ), X ) ),
% 35.59/35.96 hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, Z ),
% 35.59/35.96 Y ) ) }.
% 35.59/35.96 (191440) {G0,W18,D4,L3,V3,M3} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_f103356543l_bool( ord_le1568362934t_bool, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_f54304608l_bool( hAPP_f103356543l_bool( ord_le1568362934t_bool, Y )
% 35.59/35.96 , Z ) ), hBOOL( hAPP_f54304608l_bool( hAPP_f103356543l_bool(
% 35.59/35.96 ord_le1568362934t_bool, X ), Z ) ) }.
% 35.59/35.96 (191441) {G0,W18,D4,L3,V3,M3} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_f434788991l_bool( ord_le313189616e_bool, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( hAPP_f434788991l_bool( ord_le313189616e_bool, Y )
% 35.59/35.96 , Z ) ), hBOOL( hAPP_f1664156314l_bool( hAPP_f434788991l_bool(
% 35.59/35.96 ord_le313189616e_bool, X ), Z ) ) }.
% 35.59/35.96 (191442) {G0,W18,D4,L3,V3,M3} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( ord_le1311769555a_bool, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool, Y )
% 35.59/35.96 , Z ) ), hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 35.59/35.96 ord_le1311769555a_bool, X ), Z ) ) }.
% 35.59/35.96 (191443) {G0,W9,D4,L2,V2,M2} { ! X = Y, hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_f103356543l_bool( ord_le1568362934t_bool, X ), Y ) ) }.
% 35.59/35.96 (191444) {G0,W9,D4,L2,V2,M2} { ! X = Y, hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_f103356543l_bool( ord_le1568362934t_bool, Y ), X ) ) }.
% 35.59/35.96 (191445) {G0,W9,D4,L2,V2,M2} { ! X = Y, hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_f434788991l_bool( ord_le313189616e_bool, X ), Y ) ) }.
% 35.59/35.96 (191446) {G0,W9,D4,L2,V2,M2} { ! X = Y, hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_f434788991l_bool( ord_le313189616e_bool, Y ), X ) ) }.
% 35.59/35.96 (191447) {G0,W9,D4,L2,V2,M2} { ! X = Y, hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( ord_le1311769555a_bool, X ), Y ) ) }.
% 35.59/35.96 (191448) {G0,W9,D4,L2,V2,M2} { ! X = Y, hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( ord_le1311769555a_bool, Y ), X ) ) }.
% 35.59/35.96 (191449) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_n215258509l_bool( member_nat, X ), Y ) ), hBOOL( hAPP_nat_bool( Y, X
% 35.59/35.96 ) ) }.
% 35.59/35.96 (191450) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_nat_bool( Y, X ) ), hBOOL(
% 35.59/35.96 hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, X ), Y ) ) }.
% 35.59/35.96 (191451) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_a85458249l_bool( member_a, X ), Y ) ), hBOOL( hAPP_a_bool( Y, X ) )
% 35.59/35.96 }.
% 35.59/35.96 (191452) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_a_bool( Y, X ) ), hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, X ), Y ) ) }.
% 35.59/35.96 (191453) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_p338031245l_bool( member_pname, X ), Y ) ), hBOOL( hAPP_pname_bool(
% 35.59/35.96 Y, X ) ) }.
% 35.59/35.96 (191454) {G0,W10,D4,L2,V2,M2} { ! hBOOL( hAPP_pname_bool( Y, X ) ), hBOOL
% 35.59/35.96 ( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, X ), Y ) )
% 35.59/35.96 }.
% 35.59/35.96 (191455) {G0,W6,D3,L2,V1,M2} { ! is_fun_pname_bool( X ), collect_pname( X
% 35.59/35.96 ) = X }.
% 35.59/35.96 (191456) {G0,W4,D3,L1,V1,M1} { collect_fun_nat_bool( X ) = X }.
% 35.59/35.96 (191457) {G0,W6,D3,L2,V1,M2} { ! is_fun1661590463l_bool( X ),
% 35.59/35.96 collec1974731493e_bool( X ) = X }.
% 35.59/35.96 (191458) {G0,W6,D3,L2,V1,M2} { ! is_fun949378684l_bool( X ),
% 35.59/35.96 collect_fun_a_bool( X ) = X }.
% 35.59/35.96 (191459) {G0,W4,D3,L1,V1,M1} { collect_nat( X ) = X }.
% 35.59/35.96 (191460) {G0,W15,D4,L3,V6,M3} { ! is_a( X ), ! hBOOL( hAPP_fun_a_bool_bool
% 35.59/35.96 ( hAPP_a85458249l_bool( member_a, X ), image_pname_a( Y, Z ) ) ),
% 35.59/35.96 is_pname( skol7( T, U, W ) ) }.
% 35.59/35.96 (191461) {G0,W18,D4,L3,V3,M3} { ! is_a( X ), ! hBOOL( hAPP_fun_a_bool_bool
% 35.59/35.96 ( hAPP_a85458249l_bool( member_a, X ), image_pname_a( Y, Z ) ) ), alpha1
% 35.59/35.96 ( X, Y, Z, skol7( X, Y, Z ) ) }.
% 35.59/35.96 (191462) {G0,W17,D4,L4,V4,M4} { ! is_a( X ), ! is_pname( T ), ! alpha1( X
% 35.59/35.96 , Y, Z, T ), hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a
% 35.59/35.96 , X ), image_pname_a( Y, Z ) ) ) }.
% 35.59/35.96 (191463) {G0,W11,D4,L2,V4,M2} { ! alpha1( X, Y, Z, T ), hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, T ), Z ) )
% 35.59/35.96 }.
% 35.59/35.96 (191464) {G0,W10,D3,L2,V4,M2} { ! alpha1( X, Y, Z, T ), X = hAPP_pname_a(
% 35.59/35.96 Y, T ) }.
% 35.59/35.96 (191465) {G0,W16,D4,L3,V4,M3} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_p338031245l_bool( member_pname, T ), Z ) ), ! X = hAPP_pname_a( Y, T
% 35.59/35.96 ), alpha1( X, Y, Z, T ) }.
% 35.59/35.96 (191466) {G0,W16,D5,L2,V3,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_p338031245l_bool( member_pname, X ), Y ) ), hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, hAPP_pname_a( Z, X
% 35.59/35.96 ) ), image_pname_a( Z, Y ) ) ) }.
% 35.59/35.96 (191467) {G0,W19,D4,L3,V4,M3} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_p338031245l_bool( member_pname, X ), Y ) ), ! Z = hAPP_pname_a( T, X
% 35.59/35.96 ), hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, Z ),
% 35.59/35.96 image_pname_a( T, Y ) ) ) }.
% 35.59/35.96 (191468) {G0,W16,D7,L1,V2,M1} { insert_nat( X, Y ) = collect_nat(
% 35.59/35.96 cOMBS_nat_bool_bool( cOMBB_1015721476ol_nat( fdisj,
% 35.59/35.96 hAPP_n1699378549t_bool( cOMBC_nat_nat_bool( fequal_nat ), X ) ),
% 35.59/35.96 hAPP_f800510211t_bool( cOMBC_226598744l_bool( member_nat ), Y ) ) ) }.
% 35.59/35.96 (191469) {G0,W16,D7,L1,V2,M1} { insert_pname( X, Y ) = collect_pname(
% 35.59/35.96 cOMBS_568398431l_bool( cOMBB_675860798_pname( fdisj, hAPP_p61793385e_bool
% 35.59/35.96 ( cOMBC_1149511130e_bool( fequal_pname ), X ) ), hAPP_f759274231e_bool(
% 35.59/35.96 cOMBC_1058051404l_bool( member_pname ), Y ) ) ) }.
% 35.59/35.96 (191470) {G0,W16,D7,L1,V2,M1} { insert_a( X, Y ) = collect_a(
% 35.59/35.96 cOMBS_a_bool_bool( cOMBB_1972296269bool_a( fdisj, hAPP_a_fun_a_bool(
% 35.59/35.96 cOMBC_a_a_bool( fequal_a ), X ) ), hAPP_f2050579477a_bool(
% 35.59/35.96 cOMBC_1355376034l_bool( member_a ), Y ) ) ) }.
% 35.59/35.96 (191471) {G0,W16,D7,L1,V2,M1} { insert_fun_nat_bool( X, Y ) =
% 35.59/35.96 collect_fun_nat_bool( cOMBS_1187019125l_bool( cOMBB_444170502t_bool(
% 35.59/35.96 fdisj, hAPP_f103356543l_bool( cOMBC_1693257480l_bool( fequal_fun_nat_bool
% 35.59/35.96 ), X ) ), hAPP_f1246832597l_bool( cOMBC_1245412066l_bool(
% 35.59/35.96 member_fun_nat_bool ), Y ) ) ) }.
% 35.59/35.96 (191472) {G0,W16,D7,L1,V2,M1} { insert1325755072e_bool( X, Y ) =
% 35.59/35.96 collec1974731493e_bool( cOMBS_350070575l_bool( cOMBB_2095475776e_bool(
% 35.59/35.96 fdisj, hAPP_f434788991l_bool( cOMBC_1284144636l_bool(
% 35.59/35.96 fequal533582459e_bool ), X ) ), hAPP_f559147733l_bool(
% 35.59/35.96 cOMBC_1988546018l_bool( member799430823e_bool ), Y ) ) ) }.
% 35.59/35.96 (191473) {G0,W16,D7,L1,V2,M1} { insert_fun_a_bool( X, Y ) =
% 35.59/35.96 collect_fun_a_bool( cOMBS_1035972772l_bool( cOMBB_338059395a_bool( fdisj
% 35.59/35.96 , hAPP_f1631501043l_bool( cOMBC_1732670874l_bool( fequal_fun_a_bool ), X
% 35.59/35.96 ) ), hAPP_f2117159681l_bool( cOMBC_1880041174l_bool( member_fun_a_bool )
% 35.59/35.96 , Y ) ) ) }.
% 35.59/35.96 (191474) {G0,W8,D4,L1,V2,M1} { hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_f103356543l_bool( ord_le1568362934t_bool, X ), insert_nat( Y, X ) )
% 35.59/35.96 ) }.
% 35.59/35.96 (191475) {G0,W8,D4,L1,V2,M1} { hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_f434788991l_bool( ord_le313189616e_bool, X ), insert_pname( Y, X ) )
% 35.59/35.96 ) }.
% 35.59/35.96 (191476) {G0,W8,D4,L1,V2,M1} { hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( ord_le1311769555a_bool, X ), insert_a( Y, X ) ) )
% 35.59/35.96 }.
% 35.59/35.96 (191477) {G0,W14,D5,L2,V3,M2} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_f103356543l_bool( ord_le1568362934t_bool, insert_nat( X, Y ) ), Z )
% 35.59/35.96 ), hBOOL( hAPP_f54304608l_bool( hAPP_n215258509l_bool( member_nat, X ),
% 35.59/35.96 Z ) ) }.
% 35.59/35.96 (191478) {G0,W14,D5,L2,V3,M2} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_f103356543l_bool( ord_le1568362934t_bool, insert_nat( X, Y ) ), Z )
% 35.59/35.96 ), hBOOL( hAPP_f54304608l_bool( hAPP_f103356543l_bool(
% 35.59/35.96 ord_le1568362934t_bool, Y ), Z ) ) }.
% 35.59/35.96 (191479) {G0,W20,D5,L3,V3,M3} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_n215258509l_bool( member_nat, X ), Z ) ), ! hBOOL(
% 35.59/35.96 hAPP_f54304608l_bool( hAPP_f103356543l_bool( ord_le1568362934t_bool, Y )
% 35.59/35.96 , Z ) ), hBOOL( hAPP_f54304608l_bool( hAPP_f103356543l_bool(
% 35.59/35.96 ord_le1568362934t_bool, insert_nat( X, Y ) ), Z ) ) }.
% 35.59/35.96 (191480) {G0,W14,D5,L2,V3,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_f434788991l_bool( ord_le313189616e_bool, insert_pname( X, Y ) ), Z )
% 35.59/35.96 ), hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, X
% 35.59/35.96 ), Z ) ) }.
% 35.59/35.96 (191481) {G0,W14,D5,L2,V3,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_f434788991l_bool( ord_le313189616e_bool, insert_pname( X, Y ) ), Z )
% 35.59/35.96 ), hBOOL( hAPP_f1664156314l_bool( hAPP_f434788991l_bool(
% 35.59/35.96 ord_le313189616e_bool, Y ), Z ) ) }.
% 35.59/35.96 (191482) {G0,W20,D5,L3,V3,M3} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_p338031245l_bool( member_pname, X ), Z ) ), ! hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( hAPP_f434788991l_bool( ord_le313189616e_bool, Y )
% 35.59/35.96 , Z ) ), hBOOL( hAPP_f1664156314l_bool( hAPP_f434788991l_bool(
% 35.59/35.96 ord_le313189616e_bool, insert_pname( X, Y ) ), Z ) ) }.
% 35.59/35.96 (191483) {G0,W14,D5,L2,V3,M2} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( ord_le1311769555a_bool, insert_a( X, Y ) ), Z ) )
% 35.59/35.96 , hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, X ), Z ) )
% 35.59/35.96 }.
% 35.59/35.96 (191484) {G0,W14,D5,L2,V3,M2} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( ord_le1311769555a_bool, insert_a( X, Y ) ), Z ) )
% 35.59/35.96 , hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 35.59/35.96 ord_le1311769555a_bool, Y ), Z ) ) }.
% 35.59/35.96 (191485) {G0,W20,D5,L3,V3,M3} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_a85458249l_bool( member_a, X ), Z ) ), ! hBOOL( hAPP_fun_a_bool_bool
% 35.59/35.96 ( hAPP_f1631501043l_bool( ord_le1311769555a_bool, Y ), Z ) ), hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool,
% 35.59/35.96 insert_a( X, Y ) ), Z ) ) }.
% 35.59/35.96 (191486) {G0,W20,D4,L3,V3,M3} { hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_n215258509l_bool( member_nat, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_f54304608l_bool( hAPP_f103356543l_bool( ord_le1568362934t_bool, Y )
% 35.59/35.96 , insert_nat( X, Z ) ) ), hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_f103356543l_bool( ord_le1568362934t_bool, Y ), Z ) ) }.
% 35.59/35.96 (191487) {G0,W20,D4,L3,V3,M3} { hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_n215258509l_bool( member_nat, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_f54304608l_bool( hAPP_f103356543l_bool( ord_le1568362934t_bool, Y )
% 35.59/35.96 , Z ) ), hBOOL( hAPP_f54304608l_bool( hAPP_f103356543l_bool(
% 35.59/35.96 ord_le1568362934t_bool, Y ), insert_nat( X, Z ) ) ) }.
% 35.59/35.96 (191488) {G0,W20,D4,L3,V3,M3} { hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_p338031245l_bool( member_pname, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( hAPP_f434788991l_bool( ord_le313189616e_bool, Y )
% 35.59/35.96 , insert_pname( X, Z ) ) ), hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_f434788991l_bool( ord_le313189616e_bool, Y ), Z ) ) }.
% 35.59/35.96 (191489) {G0,W20,D4,L3,V3,M3} { hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_p338031245l_bool( member_pname, X ), Y ) ), ! hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( hAPP_f434788991l_bool( ord_le313189616e_bool, Y )
% 35.59/35.96 , Z ) ), hBOOL( hAPP_f1664156314l_bool( hAPP_f434788991l_bool(
% 35.59/35.96 ord_le313189616e_bool, Y ), insert_pname( X, Z ) ) ) }.
% 35.59/35.96 (191490) {G0,W20,D4,L3,V3,M3} { hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_a85458249l_bool( member_a, X ), Y ) ), ! hBOOL( hAPP_fun_a_bool_bool
% 35.59/35.96 ( hAPP_f1631501043l_bool( ord_le1311769555a_bool, Y ), insert_a( X, Z ) )
% 35.59/35.96 ), hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 35.59/35.96 ord_le1311769555a_bool, Y ), Z ) ) }.
% 35.59/35.96 (191491) {G0,W20,D4,L3,V3,M3} { hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_a85458249l_bool( member_a, X ), Y ) ), ! hBOOL( hAPP_fun_a_bool_bool
% 35.59/35.96 ( hAPP_f1631501043l_bool( ord_le1311769555a_bool, Y ), Z ) ), hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool, Y )
% 35.59/35.96 , insert_a( X, Z ) ) ) }.
% 35.59/35.96 (191492) {G0,W14,D4,L2,V3,M2} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_f103356543l_bool( ord_le1568362934t_bool, X ), Y ) ), hBOOL(
% 35.59/35.96 hAPP_f54304608l_bool( hAPP_f103356543l_bool( ord_le1568362934t_bool, X )
% 35.59/35.96 , insert_nat( Z, Y ) ) ) }.
% 35.59/35.96 (191493) {G0,W14,D4,L2,V3,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_f434788991l_bool( ord_le313189616e_bool, X ), Y ) ), hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( hAPP_f434788991l_bool( ord_le313189616e_bool, X )
% 35.59/35.96 , insert_pname( Z, Y ) ) ) }.
% 35.59/35.96 (191494) {G0,W14,D4,L2,V3,M2} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( ord_le1311769555a_bool, X ), Y ) ), hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool, X )
% 35.59/35.96 , insert_a( Z, Y ) ) ) }.
% 35.59/35.96 (191495) {G0,W16,D5,L2,V3,M2} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_f103356543l_bool( ord_le1568362934t_bool, X ), Y ) ), hBOOL(
% 35.59/35.96 hAPP_f54304608l_bool( hAPP_f103356543l_bool( ord_le1568362934t_bool,
% 35.59/35.96 insert_nat( Z, X ) ), insert_nat( Z, Y ) ) ) }.
% 35.59/35.96 (191496) {G0,W16,D5,L2,V3,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_f434788991l_bool( ord_le313189616e_bool, X ), Y ) ), hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( hAPP_f434788991l_bool( ord_le313189616e_bool,
% 35.59/35.96 insert_pname( Z, X ) ), insert_pname( Z, Y ) ) ) }.
% 35.59/35.96 (191497) {G0,W16,D5,L2,V3,M2} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( ord_le1311769555a_bool, X ), Y ) ), hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool,
% 35.59/35.96 insert_a( Z, X ) ), insert_a( Z, Y ) ) ) }.
% 35.59/35.96 (191498) {G0,W13,D4,L1,V3,M1} { image_pname_a( X, insert_pname( Y, Z ) ) =
% 35.59/35.96 insert_a( hAPP_pname_a( X, Y ), image_pname_a( X, Z ) ) }.
% 35.59/35.96 (191499) {G0,W17,D4,L2,V3,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_p338031245l_bool( member_pname, X ), Y ) ), insert_a( hAPP_pname_a(
% 35.59/35.96 Z, X ), image_pname_a( Z, Y ) ) = image_pname_a( Z, Y ) }.
% 35.59/35.96 (191500) {G0,W15,D4,L3,V6,M3} { ! is_fun_a_bool( X ), ! hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool, X )
% 35.59/35.96 , image_pname_a( Y, Z ) ) ), is_fun_pname_bool( skol8( T, U, W ) ) }.
% 35.59/35.96 (191501) {G0,W18,D4,L3,V3,M3} { ! is_fun_a_bool( X ), ! hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool, X )
% 35.59/35.96 , image_pname_a( Y, Z ) ) ), alpha2( X, Y, Z, skol8( X, Y, Z ) ) }.
% 35.59/35.96 (191502) {G0,W17,D4,L4,V4,M4} { ! is_fun_a_bool( X ), ! is_fun_pname_bool
% 35.59/35.96 ( T ), ! alpha2( X, Y, Z, T ), hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( ord_le1311769555a_bool, X ), image_pname_a( Y, Z
% 35.59/35.96 ) ) ) }.
% 35.59/35.96 (191503) {G0,W11,D4,L2,V4,M2} { ! alpha2( X, Y, Z, T ), hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( hAPP_f434788991l_bool( ord_le313189616e_bool, T )
% 35.59/35.96 , Z ) ) }.
% 35.59/35.96 (191504) {G0,W10,D3,L2,V4,M2} { ! alpha2( X, Y, Z, T ), X = image_pname_a
% 35.59/35.96 ( Y, T ) }.
% 35.59/35.96 (191505) {G0,W16,D4,L3,V4,M3} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_f434788991l_bool( ord_le313189616e_bool, T ), Z ) ), ! X =
% 35.59/35.96 image_pname_a( Y, T ), alpha2( X, Y, Z, T ) }.
% 35.59/35.96 (191506) {G0,W16,D5,L2,V3,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_f434788991l_bool( ord_le313189616e_bool, X ), Y ) ), hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool,
% 35.59/35.96 image_pname_a( Z, X ) ), image_pname_a( Z, Y ) ) ) }.
% 35.59/35.96 (191507) {G0,W15,D4,L3,V6,M3} { ! is_a( X ), ! hBOOL( hAPP_fun_a_bool_bool
% 35.59/35.96 ( hAPP_a85458249l_bool( member_a, X ), image_pname_a( Y, Z ) ) ),
% 35.59/35.96 is_pname( skol9( T, U, W ) ) }.
% 35.59/35.96 (191508) {G0,W19,D5,L3,V5,M3} { ! is_a( X ), ! hBOOL( hAPP_fun_a_bool_bool
% 35.59/35.96 ( hAPP_a85458249l_bool( member_a, X ), image_pname_a( Y, Z ) ) ), hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, skol9( T, U
% 35.59/35.96 , Z ) ), Z ) ) }.
% 35.59/35.96 (191509) {G0,W18,D4,L3,V3,M3} { ! is_a( X ), ! hBOOL( hAPP_fun_a_bool_bool
% 35.59/35.96 ( hAPP_a85458249l_bool( member_a, X ), image_pname_a( Y, Z ) ) ), X =
% 35.59/35.96 hAPP_pname_a( Y, skol9( X, Y, Z ) ) }.
% 35.59/35.96 (191510) {G0,W14,D5,L2,V3,M2} { hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_n215258509l_bool( member_nat, skol10( Z, Y ) ), Y ) ), hBOOL(
% 35.59/35.96 hAPP_f54304608l_bool( hAPP_f103356543l_bool( ord_le1568362934t_bool, Y )
% 35.59/35.96 , X ) ) }.
% 35.59/35.96 (191511) {G0,W14,D5,L2,V2,M2} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_n215258509l_bool( member_nat, skol10( X, Y ) ), X ) ), hBOOL(
% 35.59/35.96 hAPP_f54304608l_bool( hAPP_f103356543l_bool( ord_le1568362934t_bool, Y )
% 35.59/35.96 , X ) ) }.
% 35.59/35.96 (191512) {G0,W10,D4,L2,V4,M2} { is_a( skol11( Z, T ) ), hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool, Y )
% 35.59/35.96 , X ) ) }.
% 35.59/35.96 (191513) {G0,W14,D5,L2,V3,M2} { hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_a85458249l_bool( member_a, skol11( Z, Y ) ), Y ) ), hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool, Y )
% 35.59/35.96 , X ) ) }.
% 35.59/35.96 (191514) {G0,W14,D5,L2,V2,M2} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_a85458249l_bool( member_a, skol11( X, Y ) ), X ) ), hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool, Y )
% 35.59/35.96 , X ) ) }.
% 35.59/35.96 (191515) {G0,W10,D4,L2,V4,M2} { is_pname( skol12( Z, T ) ), hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( hAPP_f434788991l_bool( ord_le313189616e_bool, Y )
% 35.59/35.96 , X ) ) }.
% 35.59/35.96 (191516) {G0,W14,D5,L2,V3,M2} { hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_p338031245l_bool( member_pname, skol12( Z, Y ) ), Y ) ), hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( hAPP_f434788991l_bool( ord_le313189616e_bool, Y )
% 35.59/35.96 , X ) ) }.
% 35.59/35.96 (191517) {G0,W14,D5,L2,V2,M2} { ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_p338031245l_bool( member_pname, skol12( X, Y ) ), X ) ), hBOOL(
% 35.59/35.96 hAPP_f1664156314l_bool( hAPP_f434788991l_bool( ord_le313189616e_bool, Y )
% 35.59/35.96 , X ) ) }.
% 35.59/35.96 (191518) {G0,W18,D5,L3,V3,M3} { ! hBOOL( hAPP_nat_bool( X, Y ) ), hBOOL(
% 35.59/35.96 hAPP_nat_bool( X, hAPP_nat_nat( suc, skol13( X ) ) ) ), hBOOL(
% 35.59/35.96 hAPP_nat_bool( X, hAPP_nat_nat( minus_minus_nat( Y ), Z ) ) ) }.
% 35.59/35.96 (191519) {G0,W16,D5,L3,V3,M3} { ! hBOOL( hAPP_nat_bool( X, Y ) ), ! hBOOL
% 35.59/35.96 ( hAPP_nat_bool( X, skol13( X ) ) ), hBOOL( hAPP_nat_bool( X,
% 35.59/35.96 hAPP_nat_nat( minus_minus_nat( Y ), Z ) ) ) }.
% 35.59/35.96 (191520) {G0,W14,D5,L2,V2,M2} { ! hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, hAPP_nat_nat( suc, Y ) ), X ) )
% 35.59/35.96 , X = hAPP_nat_nat( suc, skol14( X ) ) }.
% 35.59/35.96 (191521) {G0,W13,D5,L2,V6,M2} { is_pname( skol15( T, U, W ) ), hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool,
% 35.59/35.96 image_pname_a( X, Z ) ), Y ) ) }.
% 35.59/35.96 (191522) {G0,W17,D5,L2,V5,M2} { hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_p338031245l_bool( member_pname, skol15( T, U, Z ) ), Z ) ), hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool,
% 35.59/35.96 image_pname_a( X, Z ) ), Y ) ) }.
% 35.59/35.96 (191523) {G0,W19,D6,L2,V3,M2} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_a85458249l_bool( member_a, hAPP_pname_a( X, skol15( X, Y, Z ) ) ), Y
% 35.59/35.96 ) ), hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 35.59/35.96 ord_le1311769555a_bool, image_pname_a( X, Z ) ), Y ) ) }.
% 35.59/35.96 (191524) {G0,W6,D4,L1,V1,M1} { hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_f103356543l_bool( ord_le1568362934t_bool, X ), X ) ) }.
% 35.59/35.96 (191525) {G0,W6,D4,L1,V1,M1} { hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_f434788991l_bool( ord_le313189616e_bool, X ), X ) ) }.
% 35.59/35.96 (191526) {G0,W6,D4,L1,V1,M1} { hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, X ), X ) ) }.
% 35.59/35.96 (191527) {G0,W6,D4,L1,V1,M1} { hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( ord_le1311769555a_bool, X ), X ) ) }.
% 35.59/35.96 (191528) {G0,W17,D4,L3,V2,M3} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 finite_finite_nat, X ) ), ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_n215258509l_bool( member_nat, Y ), X ) ), hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, Y ), skol16( X ) ) ) }.
% 35.59/35.96 (191529) {G0,W12,D5,L2,V3,M2} { ! hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, skol17( Z, Y ) ), Y ) ), hBOOL(
% 35.59/35.96 hAPP_f54304608l_bool( finite_finite_nat, X ) ) }.
% 35.59/35.96 (191530) {G0,W12,D5,L2,V2,M2} { hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_n215258509l_bool( member_nat, skol17( X, Y ) ), X ) ), hBOOL(
% 35.59/35.96 hAPP_f54304608l_bool( finite_finite_nat, X ) ) }.
% 35.59/35.96 (191531) {G0,W6,D3,L2,V1,M2} { ! hBOOL( hAPP_bool_bool( fNot, X ) ), !
% 35.59/35.96 hBOOL( X ) }.
% 35.59/35.96 (191532) {G0,W6,D3,L2,V1,M2} { hBOOL( X ), hBOOL( hAPP_bool_bool( fNot, X
% 35.59/35.96 ) ) }.
% 35.59/35.96 (191533) {G0,W10,D4,L3,V2,M3} { ! hBOOL( X ), ! hBOOL( Y ), hBOOL(
% 35.59/35.96 hAPP_bool_bool( hAPP_b589554111l_bool( fconj, X ), Y ) ) }.
% 35.59/35.96 (191534) {G0,W8,D4,L2,V2,M2} { ! hBOOL( hAPP_bool_bool(
% 35.59/35.96 hAPP_b589554111l_bool( fconj, X ), Y ) ), hBOOL( X ) }.
% 35.59/35.96 (191535) {G0,W8,D4,L2,V2,M2} { ! hBOOL( hAPP_bool_bool(
% 35.59/35.96 hAPP_b589554111l_bool( fconj, Y ), X ) ), hBOOL( X ) }.
% 35.59/35.96 (191536) {G0,W8,D4,L2,V2,M2} { ! hBOOL( X ), hBOOL( hAPP_bool_bool(
% 35.59/35.96 hAPP_b589554111l_bool( fdisj, X ), Y ) ) }.
% 35.59/35.96 (191537) {G0,W8,D4,L2,V2,M2} { ! hBOOL( X ), hBOOL( hAPP_bool_bool(
% 35.59/35.96 hAPP_b589554111l_bool( fdisj, Y ), X ) ) }.
% 35.59/35.96 (191538) {G0,W10,D4,L3,V2,M3} { ! hBOOL( hAPP_bool_bool(
% 35.59/35.96 hAPP_b589554111l_bool( fdisj, X ), Y ) ), hBOOL( X ), hBOOL( Y ) }.
% 35.59/35.96 (191539) {G0,W8,D4,L2,V2,M2} { hBOOL( X ), hBOOL( hAPP_bool_bool(
% 35.59/35.96 hAPP_b589554111l_bool( fimplies, X ), Y ) ) }.
% 35.59/35.96 (191540) {G0,W8,D4,L2,V2,M2} { ! hBOOL( X ), hBOOL( hAPP_bool_bool(
% 35.59/35.96 hAPP_b589554111l_bool( fimplies, Y ), X ) ) }.
% 35.59/35.96 (191541) {G0,W10,D4,L3,V2,M3} { ! hBOOL( hAPP_bool_bool(
% 35.59/35.96 hAPP_b589554111l_bool( fimplies, X ), Y ) ), ! hBOOL( X ), hBOOL( Y ) }.
% 35.59/35.96 (191542) {G0,W13,D4,L4,V2,M4} { ! is_a( X ), ! is_a( Y ), ! hBOOL(
% 35.59/35.96 hAPP_a_bool( hAPP_a_fun_a_bool( fequal_a, X ), Y ) ), X = Y }.
% 35.59/35.96 (191543) {G0,W9,D4,L2,V2,M2} { ! X = Y, hBOOL( hAPP_a_bool(
% 35.59/35.96 hAPP_a_fun_a_bool( fequal_a, X ), Y ) ) }.
% 35.59/35.96 (191544) {G0,W9,D4,L2,V2,M2} { ! hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( fequal_nat, X ), Y ) ), X = Y }.
% 35.59/35.96 (191545) {G0,W9,D4,L2,V2,M2} { ! X = Y, hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( fequal_nat, X ), Y ) ) }.
% 35.59/35.96 (191546) {G0,W13,D4,L4,V2,M4} { ! is_pname( X ), ! is_pname( Y ), ! hBOOL
% 35.59/35.96 ( hAPP_pname_bool( hAPP_p61793385e_bool( fequal_pname, X ), Y ) ), X = Y
% 35.59/35.96 }.
% 35.59/35.96 (191547) {G0,W9,D4,L2,V2,M2} { ! X = Y, hBOOL( hAPP_pname_bool(
% 35.59/35.96 hAPP_p61793385e_bool( fequal_pname, X ), Y ) ) }.
% 35.59/35.96 (191548) {G0,W12,D5,L1,V3,M1} { hAPP_a_bool( hAPP_a_fun_a_bool(
% 35.59/35.96 cOMBC_a_a_bool( X ), Y ), Z ) = hAPP_a_bool( hAPP_a_fun_a_bool( X, Z ), Y
% 35.59/35.96 ) }.
% 35.59/35.96 (191549) {G0,W13,D4,L4,V2,M4} { ! is_fun_a_bool( X ), ! is_fun_a_bool( Y )
% 35.59/35.96 , ! hBOOL( hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool(
% 35.59/35.96 fequal_fun_a_bool, X ), Y ) ), X = Y }.
% 35.59/35.96 (191550) {G0,W9,D4,L2,V2,M2} { ! X = Y, hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( fequal_fun_a_bool, X ), Y ) ) }.
% 35.59/35.96 (191551) {G0,W11,D4,L1,V3,M1} { hAPP_a_bool( cOMBB_bool_bool_a( X, Y ), Z
% 35.59/35.96 ) = hAPP_bool_bool( X, hAPP_a_bool( Y, Z ) ) }.
% 35.59/35.96 (191552) {G0,W13,D4,L1,V3,M1} { hAPP_a_bool( cOMBS_a_bool_bool( X, Y ), Z
% 35.59/35.96 ) = hAPP_bool_bool( hAPP_a_fun_bool_bool( X, Z ), hAPP_a_bool( Y, Z ) )
% 35.59/35.96 }.
% 35.59/35.96 (191553) {G0,W12,D5,L1,V3,M1} { hAPP_pname_bool( hAPP_a93125764e_bool(
% 35.59/35.96 cOMBC_pname_a_bool( X ), Y ), Z ) = hAPP_a_bool( hAPP_p1534023578a_bool(
% 35.59/35.96 X, Z ), Y ) }.
% 35.59/35.96 (191554) {G0,W9,D4,L2,V2,M2} { ! hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_f103356543l_bool( fequal_fun_nat_bool, X ), Y ) ), X = Y }.
% 35.59/35.96 (191555) {G0,W9,D4,L2,V2,M2} { ! X = Y, hBOOL( hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_f103356543l_bool( fequal_fun_nat_bool, X ), Y ) ) }.
% 35.59/35.96 (191556) {G0,W13,D4,L4,V2,M4} { ! is_fun_pname_bool( X ), !
% 35.59/35.96 is_fun_pname_bool( Y ), ! hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_f434788991l_bool( fequal533582459e_bool, X ), Y ) ), X = Y }.
% 35.59/35.96 (191557) {G0,W9,D4,L2,V2,M2} { ! X = Y, hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_f434788991l_bool( fequal533582459e_bool, X ), Y ) ) }.
% 35.59/35.96 (191558) {G0,W12,D5,L1,V3,M1} { hAPP_nat_bool( hAPP_n1699378549t_bool(
% 35.59/35.96 cOMBC_nat_nat_bool( X ), Y ), Z ) = hAPP_nat_bool( hAPP_n1699378549t_bool
% 35.59/35.96 ( X, Z ), Y ) }.
% 35.59/35.96 (191559) {G0,W11,D4,L1,V3,M1} { hAPP_nat_bool( cOMBB_bool_bool_nat( X, Y )
% 35.59/35.96 , Z ) = hAPP_bool_bool( X, hAPP_nat_bool( Y, Z ) ) }.
% 35.59/35.96 (191560) {G0,W13,D4,L1,V3,M1} { hAPP_nat_bool( cOMBS_nat_bool_bool( X, Y )
% 35.59/35.96 , Z ) = hAPP_bool_bool( hAPP_n1006566506l_bool( X, Z ), hAPP_nat_bool( Y
% 35.59/35.96 , Z ) ) }.
% 35.59/35.96 (191561) {G0,W11,D4,L1,V3,M1} { hAPP_pname_bool( cOMBB_647938656_pname( X
% 35.59/35.96 , Y ), Z ) = hAPP_bool_bool( X, hAPP_pname_bool( Y, Z ) ) }.
% 35.59/35.96 (191562) {G0,W13,D4,L1,V3,M1} { hAPP_pname_bool( cOMBS_568398431l_bool( X
% 35.59/35.96 , Y ), Z ) = hAPP_bool_bool( hAPP_p393069232l_bool( X, Z ),
% 35.59/35.96 hAPP_pname_bool( Y, Z ) ) }.
% 35.59/35.96 (191563) {G0,W12,D5,L1,V3,M1} { hAPP_pname_bool( hAPP_p61793385e_bool(
% 35.59/35.96 cOMBC_1149511130e_bool( X ), Y ), Z ) = hAPP_pname_bool(
% 35.59/35.96 hAPP_p61793385e_bool( X, Z ), Y ) }.
% 35.59/35.96 (191564) {G0,W12,D5,L1,V3,M1} { hAPP_a_bool( hAPP_f2050579477a_bool(
% 35.59/35.96 cOMBC_1355376034l_bool( X ), Y ), Z ) = hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_a85458249l_bool( X, Z ), Y ) }.
% 35.59/35.96 (191565) {G0,W11,D4,L1,V3,M1} { hAPP_p1534023578a_bool(
% 35.59/35.96 cOMBB_1897541054_pname( X, Y ), Z ) = hAPP_a_fun_a_bool( X, hAPP_pname_a
% 35.59/35.96 ( Y, Z ) ) }.
% 35.59/35.96 (191566) {G0,W11,D4,L1,V3,M1} { hAPP_fun_a_bool_bool(
% 35.59/35.96 cOMBB_2140588453a_bool( X, Y ), Z ) = hAPP_bool_bool( X,
% 35.59/35.96 hAPP_fun_a_bool_bool( Y, Z ) ) }.
% 35.59/35.96 (191567) {G0,W11,D4,L1,V3,M1} { hAPP_a_fun_bool_bool(
% 35.59/35.96 cOMBB_1972296269bool_a( X, Y ), Z ) = hAPP_b589554111l_bool( X,
% 35.59/35.96 hAPP_a_bool( Y, Z ) ) }.
% 35.59/35.96 (191568) {G0,W13,D4,L1,V3,M1} { hAPP_fun_a_bool_bool(
% 35.59/35.96 cOMBS_1035972772l_bool( X, Y ), Z ) = hAPP_bool_bool(
% 35.59/35.96 hAPP_f198738859l_bool( X, Z ), hAPP_fun_a_bool_bool( Y, Z ) ) }.
% 35.59/35.96 (191569) {G0,W12,D5,L1,V3,M1} { hAPP_nat_bool( hAPP_f800510211t_bool(
% 35.59/35.96 cOMBC_226598744l_bool( X ), Y ), Z ) = hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_n215258509l_bool( X, Z ), Y ) }.
% 35.59/35.96 (191570) {G0,W11,D4,L1,V3,M1} { hAPP_f54304608l_bool(
% 35.59/35.96 cOMBB_238756964t_bool( X, Y ), Z ) = hAPP_bool_bool( X,
% 35.59/35.96 hAPP_f54304608l_bool( Y, Z ) ) }.
% 35.59/35.96 (191571) {G0,W11,D4,L1,V3,M1} { hAPP_n1006566506l_bool(
% 35.59/35.96 cOMBB_1015721476ol_nat( X, Y ), Z ) = hAPP_b589554111l_bool( X,
% 35.59/35.96 hAPP_nat_bool( Y, Z ) ) }.
% 35.59/35.96 (191572) {G0,W13,D4,L1,V3,M1} { hAPP_f54304608l_bool(
% 35.59/35.96 cOMBS_1187019125l_bool( X, Y ), Z ) = hAPP_bool_bool(
% 35.59/35.96 hAPP_f1748468828l_bool( X, Z ), hAPP_f54304608l_bool( Y, Z ) ) }.
% 35.59/35.96 (191573) {G0,W11,D4,L1,V3,M1} { hAPP_f1664156314l_bool(
% 35.59/35.96 cOMBB_307249310e_bool( X, Y ), Z ) = hAPP_bool_bool( X,
% 35.59/35.96 hAPP_f1664156314l_bool( Y, Z ) ) }.
% 35.59/35.96 (191574) {G0,W11,D4,L1,V3,M1} { hAPP_p393069232l_bool(
% 35.59/35.96 cOMBB_675860798_pname( X, Y ), Z ) = hAPP_b589554111l_bool( X,
% 35.59/35.96 hAPP_pname_bool( Y, Z ) ) }.
% 35.59/35.96 (191575) {G0,W13,D4,L1,V3,M1} { hAPP_f1664156314l_bool(
% 35.59/35.96 cOMBS_350070575l_bool( X, Y ), Z ) = hAPP_bool_bool(
% 35.59/35.96 hAPP_f1476298914l_bool( X, Z ), hAPP_f1664156314l_bool( Y, Z ) ) }.
% 35.59/35.96 (191576) {G0,W12,D5,L1,V3,M1} { hAPP_pname_bool( hAPP_f759274231e_bool(
% 35.59/35.96 cOMBC_1058051404l_bool( X ), Y ), Z ) = hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_p338031245l_bool( X, Z ), Y ) }.
% 35.59/35.96 (191577) {G0,W12,D5,L1,V3,M1} { hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( cOMBC_1732670874l_bool( X ), Y ), Z ) =
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( X, Z ), Y ) }.
% 35.59/35.96 (191578) {G0,W11,D4,L1,V3,M1} { hAPP_f198738859l_bool(
% 35.59/35.96 cOMBB_338059395a_bool( X, Y ), Z ) = hAPP_b589554111l_bool( X,
% 35.59/35.96 hAPP_fun_a_bool_bool( Y, Z ) ) }.
% 35.59/35.96 (191579) {G0,W12,D5,L1,V3,M1} { hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_f103356543l_bool( cOMBC_1693257480l_bool( X ), Y ), Z ) =
% 35.59/35.96 hAPP_f54304608l_bool( hAPP_f103356543l_bool( X, Z ), Y ) }.
% 35.59/35.96 (191580) {G0,W11,D4,L1,V3,M1} { hAPP_f1748468828l_bool(
% 35.59/35.96 cOMBB_444170502t_bool( X, Y ), Z ) = hAPP_b589554111l_bool( X,
% 35.59/35.96 hAPP_f54304608l_bool( Y, Z ) ) }.
% 35.59/35.96 (191581) {G0,W11,D4,L1,V3,M1} { hAPP_f1476298914l_bool(
% 35.59/35.96 cOMBB_2095475776e_bool( X, Y ), Z ) = hAPP_b589554111l_bool( X,
% 35.59/35.96 hAPP_f1664156314l_bool( Y, Z ) ) }.
% 35.59/35.96 (191582) {G0,W12,D5,L1,V3,M1} { hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_f434788991l_bool( cOMBC_1284144636l_bool( X ), Y ), Z ) =
% 35.59/35.96 hAPP_f1664156314l_bool( hAPP_f434788991l_bool( X, Z ), Y ) }.
% 35.59/35.96 (191583) {G0,W12,D5,L1,V3,M1} { hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f2117159681l_bool( cOMBC_1880041174l_bool( X ), Y ), Z ) =
% 35.59/35.96 hAPP_f621171935l_bool( hAPP_f285962445l_bool( X, Z ), Y ) }.
% 35.59/35.96 (191584) {G0,W12,D5,L1,V3,M1} { hAPP_f54304608l_bool(
% 35.59/35.96 hAPP_f1246832597l_bool( cOMBC_1245412066l_bool( X ), Y ), Z ) =
% 35.59/35.96 hAPP_f1637334154l_bool( hAPP_f1951378235l_bool( X, Z ), Y ) }.
% 35.59/35.96 (191585) {G0,W12,D5,L1,V3,M1} { hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_f559147733l_bool( cOMBC_1988546018l_bool( X ), Y ), Z ) =
% 35.59/35.96 hAPP_f1935102916l_bool( hAPP_f556039215l_bool( X, Z ), Y ) }.
% 35.59/35.96 (191586) {G0,W12,D5,L1,V3,M1} { hAPP_f621171935l_bool(
% 35.59/35.96 hAPP_f1434722111l_bool( cOMBC_331553030l_bool( X ), Y ), Z ) =
% 35.59/35.96 hAPP_f621171935l_bool( hAPP_f1434722111l_bool( X, Z ), Y ) }.
% 35.59/35.96 (191587) {G0,W12,D5,L1,V3,M1} { hAPP_f1637334154l_bool(
% 35.59/35.96 hAPP_f1772781669l_bool( cOMBC_595898202l_bool( X ), Y ), Z ) =
% 35.59/35.96 hAPP_f1637334154l_bool( hAPP_f1772781669l_bool( X, Z ), Y ) }.
% 35.59/35.96 (191588) {G0,W12,D5,L1,V3,M1} { hAPP_f1935102916l_bool(
% 35.59/35.96 hAPP_f510955609l_bool( cOMBC_7971162l_bool( X ), Y ), Z ) =
% 35.59/35.96 hAPP_f1935102916l_bool( hAPP_f510955609l_bool( X, Z ), Y ) }.
% 35.59/35.96 (191589) {G0,W12,D5,L1,V3,M1} { hAPP_f292226953l_bool(
% 35.59/35.96 hAPP_f1050622307l_bool( cOMBC_636888218l_bool( X ), Y ), Z ) =
% 35.59/35.96 hAPP_f292226953l_bool( hAPP_f1050622307l_bool( X, Z ), Y ) }.
% 35.59/35.96 (191590) {G0,W12,D5,L1,V3,M1} { hAPP_f937997336l_bool(
% 35.59/35.96 hAPP_f760187903l_bool( cOMBC_1269652216l_bool( X ), Y ), Z ) =
% 35.59/35.96 hAPP_f937997336l_bool( hAPP_f760187903l_bool( X, Z ), Y ) }.
% 35.59/35.96 (191591) {G0,W12,D5,L1,V3,M1} { hAPP_f389811538l_bool(
% 35.59/35.96 hAPP_f1759205631l_bool( cOMBC_336095980l_bool( X ), Y ), Z ) =
% 35.59/35.96 hAPP_f389811538l_bool( hAPP_f1759205631l_bool( X, Z ), Y ) }.
% 35.59/35.96 (191592) {G0,W4,D3,L1,V0,M1} { hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 finite_finite_pname, u ) ) }.
% 35.59/35.96 (191593) {G0,W8,D4,L1,V0,M1} { hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( ord_le1311769555a_bool, g ), image_pname_a(
% 35.59/35.96 mgt_call, u ) ) ) }.
% 35.59/35.96 (191594) {G0,W12,D5,L1,V0,M1} { hBOOL( hAPP_nat_bool(
% 35.59/35.96 hAPP_n1699378549t_bool( ord_less_eq_nat, hAPP_nat_nat( suc, na ) ),
% 35.59/35.96 hAPP_fun_a_bool_nat( finite_card_a, image_pname_a( mgt_call, u ) ) ) )
% 35.59/35.96 }.
% 35.59/35.96 (191595) {G0,W14,D6,L1,V0,M1} { hAPP_fun_a_bool_nat( finite_card_a, g ) =
% 35.59/35.96 hAPP_nat_nat( minus_minus_nat( hAPP_fun_a_bool_nat( finite_card_a,
% 35.59/35.96 image_pname_a( mgt_call, u ) ) ), hAPP_nat_nat( suc, na ) ) }.
% 35.59/35.96 (191596) {G0,W6,D4,L1,V0,M1} { hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_p338031245l_bool( member_pname, pn ), u ) ) }.
% 35.59/35.96 (191597) {G0,W8,D5,L1,V0,M1} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_a85458249l_bool( member_a, hAPP_pname_a( mgt_call, pn ) ), g ) ) }.
% 35.59/35.96 (191598) {G0,W12,D6,L1,V0,M1} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( ord_le1311769555a_bool, insert_a( hAPP_pname_a(
% 35.59/35.96 mgt_call, pn ), g ) ), image_pname_a( mgt_call, u ) ) ) }.
% 35.59/35.96
% 35.59/35.96
% 35.59/35.96 Total Proof:
% 35.59/35.96
% 35.59/35.96 subsumption: (278) {G0,W19,D4,L3,V4,M3} I { ! X = hAPP_pname_a( Y, Z ), !
% 35.59/35.96 hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, Z ),
% 35.59/35.96 T ) ), hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, X ),
% 35.59/35.96 image_pname_a( Y, T ) ) ) }.
% 35.59/35.96 parent0: (191346) {G0,W19,D4,L3,V4,M3} { ! X = hAPP_pname_a( Y, Z ), !
% 35.59/35.96 hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, Z ),
% 35.59/35.96 T ) ), hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, X ),
% 35.59/35.96 image_pname_a( Y, T ) ) ) }.
% 35.59/35.96 substitution0:
% 35.59/35.96 X := X
% 35.59/35.96 Y := Y
% 35.59/35.96 Z := Z
% 35.59/35.96 T := T
% 35.59/35.96 end
% 35.59/35.96 permutation0:
% 35.59/35.96 0 ==> 0
% 35.59/35.96 1 ==> 1
% 35.59/35.96 2 ==> 2
% 35.59/35.96 end
% 35.59/35.96
% 35.59/35.96 subsumption: (373) {G0,W20,D5,L3,V3,M3} I { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_a85458249l_bool( member_a, X ), Z ) ), ! hBOOL( hAPP_fun_a_bool_bool
% 35.59/35.96 ( hAPP_f1631501043l_bool( ord_le1311769555a_bool, Y ), Z ) ), hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool,
% 35.59/35.96 insert_a( X, Y ) ), Z ) ) }.
% 35.59/35.96 parent0: (191485) {G0,W20,D5,L3,V3,M3} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_a85458249l_bool( member_a, X ), Z ) ), ! hBOOL( hAPP_fun_a_bool_bool
% 35.59/35.96 ( hAPP_f1631501043l_bool( ord_le1311769555a_bool, Y ), Z ) ), hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool,
% 35.59/35.96 insert_a( X, Y ) ), Z ) ) }.
% 35.59/35.96 substitution0:
% 35.59/35.96 X := X
% 35.59/35.96 Y := Y
% 35.59/35.96 Z := Z
% 35.59/35.96 end
% 35.59/35.96 permutation0:
% 35.59/35.96 0 ==> 0
% 35.59/35.96 1 ==> 1
% 35.59/35.96 2 ==> 2
% 35.59/35.96 end
% 35.59/35.96
% 35.59/35.96 subsumption: (477) {G0,W8,D4,L1,V0,M1} I { hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( ord_le1311769555a_bool, g ), image_pname_a(
% 35.59/35.96 mgt_call, u ) ) ) }.
% 35.59/35.96 parent0: (191593) {G0,W8,D4,L1,V0,M1} { hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( ord_le1311769555a_bool, g ), image_pname_a(
% 35.59/35.96 mgt_call, u ) ) ) }.
% 35.59/35.96 substitution0:
% 35.59/35.96 end
% 35.59/35.96 permutation0:
% 35.59/35.96 0 ==> 0
% 35.59/35.96 end
% 35.59/35.96
% 35.59/35.96 subsumption: (480) {G0,W6,D4,L1,V0,M1} I { hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_p338031245l_bool( member_pname, pn ), u ) ) }.
% 35.59/35.96 parent0: (191596) {G0,W6,D4,L1,V0,M1} { hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_p338031245l_bool( member_pname, pn ), u ) ) }.
% 35.59/35.96 substitution0:
% 35.59/35.96 end
% 35.59/35.96 permutation0:
% 35.59/35.96 0 ==> 0
% 35.59/35.96 end
% 35.59/35.96
% 35.59/35.96 subsumption: (482) {G0,W12,D6,L1,V0,M1} I { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( ord_le1311769555a_bool, insert_a( hAPP_pname_a(
% 35.59/35.96 mgt_call, pn ), g ) ), image_pname_a( mgt_call, u ) ) ) }.
% 35.59/35.96 parent0: (191598) {G0,W12,D6,L1,V0,M1} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( ord_le1311769555a_bool, insert_a( hAPP_pname_a(
% 35.59/35.96 mgt_call, pn ), g ) ), image_pname_a( mgt_call, u ) ) ) }.
% 35.59/35.96 substitution0:
% 35.59/35.96 end
% 35.59/35.96 permutation0:
% 35.59/35.96 0 ==> 0
% 35.59/35.96 end
% 35.59/35.96
% 35.59/35.96 eqswap: (192607) {G0,W19,D4,L3,V4,M3} { ! hAPP_pname_a( Y, Z ) = X, !
% 35.59/35.96 hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, Z ),
% 35.59/35.96 T ) ), hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, X ),
% 35.59/35.96 image_pname_a( Y, T ) ) ) }.
% 35.59/35.96 parent0[0]: (278) {G0,W19,D4,L3,V4,M3} I { ! X = hAPP_pname_a( Y, Z ), !
% 35.59/35.96 hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, Z ),
% 35.59/35.96 T ) ), hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, X ),
% 35.59/35.96 image_pname_a( Y, T ) ) ) }.
% 35.59/35.96 substitution0:
% 35.59/35.96 X := X
% 35.59/35.96 Y := Y
% 35.59/35.96 Z := Z
% 35.59/35.96 T := T
% 35.59/35.96 end
% 35.59/35.96
% 35.59/35.96 resolution: (192608) {G1,W13,D4,L2,V2,M2} { ! hAPP_pname_a( X, pn ) = Y,
% 35.59/35.96 hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, Y ),
% 35.59/35.96 image_pname_a( X, u ) ) ) }.
% 35.59/35.96 parent0[1]: (192607) {G0,W19,D4,L3,V4,M3} { ! hAPP_pname_a( Y, Z ) = X, !
% 35.59/35.96 hBOOL( hAPP_f1664156314l_bool( hAPP_p338031245l_bool( member_pname, Z ),
% 35.59/35.96 T ) ), hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, X ),
% 35.59/35.96 image_pname_a( Y, T ) ) ) }.
% 35.59/35.96 parent1[0]: (480) {G0,W6,D4,L1,V0,M1} I { hBOOL( hAPP_f1664156314l_bool(
% 35.59/35.96 hAPP_p338031245l_bool( member_pname, pn ), u ) ) }.
% 35.59/35.96 substitution0:
% 35.59/35.96 X := Y
% 35.59/35.96 Y := X
% 35.59/35.96 Z := pn
% 35.59/35.96 T := u
% 35.59/35.96 end
% 35.59/35.96 substitution1:
% 35.59/35.96 end
% 35.59/35.96
% 35.59/35.96 eqswap: (192609) {G1,W13,D4,L2,V2,M2} { ! Y = hAPP_pname_a( X, pn ), hBOOL
% 35.59/35.96 ( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, Y ),
% 35.59/35.96 image_pname_a( X, u ) ) ) }.
% 35.59/35.96 parent0[0]: (192608) {G1,W13,D4,L2,V2,M2} { ! hAPP_pname_a( X, pn ) = Y,
% 35.59/35.96 hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, Y ),
% 35.59/35.96 image_pname_a( X, u ) ) ) }.
% 35.59/35.96 substitution0:
% 35.59/35.96 X := X
% 35.59/35.96 Y := Y
% 35.59/35.96 end
% 35.59/35.96
% 35.59/35.96 subsumption: (45670) {G1,W13,D4,L2,V2,M2} R(278,480) { ! X = hAPP_pname_a(
% 35.59/35.96 Y, pn ), hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, X )
% 35.59/35.96 , image_pname_a( Y, u ) ) ) }.
% 35.59/35.96 parent0: (192609) {G1,W13,D4,L2,V2,M2} { ! Y = hAPP_pname_a( X, pn ),
% 35.59/35.96 hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, Y ),
% 35.59/35.96 image_pname_a( X, u ) ) ) }.
% 35.59/35.96 substitution0:
% 35.59/35.96 X := Y
% 35.59/35.96 Y := X
% 35.59/35.96 end
% 35.59/35.96 permutation0:
% 35.59/35.96 0 ==> 0
% 35.59/35.96 1 ==> 1
% 35.59/35.96 end
% 35.59/35.96
% 35.59/35.96 eqswap: (192610) {G1,W13,D4,L2,V2,M2} { ! hAPP_pname_a( Y, pn ) = X, hBOOL
% 35.59/35.96 ( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, X ),
% 35.59/35.96 image_pname_a( Y, u ) ) ) }.
% 35.59/35.96 parent0[0]: (45670) {G1,W13,D4,L2,V2,M2} R(278,480) { ! X = hAPP_pname_a( Y
% 35.59/35.96 , pn ), hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, X )
% 35.59/35.96 , image_pname_a( Y, u ) ) ) }.
% 35.59/35.96 substitution0:
% 35.59/35.96 X := X
% 35.59/35.96 Y := Y
% 35.59/35.96 end
% 35.59/35.96
% 35.59/35.96 eqrefl: (192611) {G0,W10,D5,L1,V1,M1} { hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_a85458249l_bool( member_a, hAPP_pname_a( X, pn ) ), image_pname_a( X
% 35.59/35.96 , u ) ) ) }.
% 35.59/35.96 parent0[0]: (192610) {G1,W13,D4,L2,V2,M2} { ! hAPP_pname_a( Y, pn ) = X,
% 35.59/35.96 hBOOL( hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, X ),
% 35.59/35.96 image_pname_a( Y, u ) ) ) }.
% 35.59/35.96 substitution0:
% 35.59/35.96 X := hAPP_pname_a( X, pn )
% 35.59/35.96 Y := X
% 35.59/35.96 end
% 35.59/35.96
% 35.59/35.96 subsumption: (45810) {G2,W10,D5,L1,V1,M1} Q(45670) { hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, hAPP_pname_a( X, pn
% 35.59/35.96 ) ), image_pname_a( X, u ) ) ) }.
% 35.59/35.96 parent0: (192611) {G0,W10,D5,L1,V1,M1} { hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_a85458249l_bool( member_a, hAPP_pname_a( X, pn ) ), image_pname_a( X
% 35.59/35.96 , u ) ) ) }.
% 35.59/35.96 substitution0:
% 35.59/35.96 X := X
% 35.59/35.96 end
% 35.59/35.96 permutation0:
% 35.59/35.96 0 ==> 0
% 35.59/35.96 end
% 35.59/35.96
% 35.59/35.96 resolution: (192612) {G1,W18,D5,L2,V0,M2} { ! hBOOL( hAPP_fun_a_bool_bool
% 35.59/35.96 ( hAPP_a85458249l_bool( member_a, hAPP_pname_a( mgt_call, pn ) ),
% 35.59/35.96 image_pname_a( mgt_call, u ) ) ), ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( ord_le1311769555a_bool, g ), image_pname_a(
% 35.59/35.96 mgt_call, u ) ) ) }.
% 35.59/35.96 parent0[0]: (482) {G0,W12,D6,L1,V0,M1} I { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_f1631501043l_bool( ord_le1311769555a_bool, insert_a( hAPP_pname_a(
% 35.59/35.96 mgt_call, pn ), g ) ), image_pname_a( mgt_call, u ) ) ) }.
% 35.59/35.96 parent1[2]: (373) {G0,W20,D5,L3,V3,M3} I { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.96 hAPP_a85458249l_bool( member_a, X ), Z ) ), ! hBOOL( hAPP_fun_a_bool_bool
% 35.59/35.96 ( hAPP_f1631501043l_bool( ord_le1311769555a_bool, Y ), Z ) ), hBOOL(
% 35.59/35.96 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool,
% 35.59/35.96 insert_a( X, Y ) ), Z ) ) }.
% 35.59/35.96 substitution0:
% 35.59/35.96 end
% 35.59/35.96 substitution1:
% 35.59/35.96 X := hAPP_pname_a( mgt_call, pn )
% 35.59/35.96 Y := g
% 35.59/35.96 Z := image_pname_a( mgt_call, u )
% 35.59/35.96 end
% 35.59/35.96
% 35.59/35.96 resolution: (192613) {G2,W8,D4,L1,V0,M1} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.97 hAPP_f1631501043l_bool( ord_le1311769555a_bool, g ), image_pname_a(
% 35.59/35.97 mgt_call, u ) ) ) }.
% 35.59/35.97 parent0[0]: (192612) {G1,W18,D5,L2,V0,M2} { ! hBOOL( hAPP_fun_a_bool_bool
% 35.59/35.97 ( hAPP_a85458249l_bool( member_a, hAPP_pname_a( mgt_call, pn ) ),
% 35.59/35.97 image_pname_a( mgt_call, u ) ) ), ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.97 hAPP_f1631501043l_bool( ord_le1311769555a_bool, g ), image_pname_a(
% 35.59/35.97 mgt_call, u ) ) ) }.
% 35.59/35.97 parent1[0]: (45810) {G2,W10,D5,L1,V1,M1} Q(45670) { hBOOL(
% 35.59/35.97 hAPP_fun_a_bool_bool( hAPP_a85458249l_bool( member_a, hAPP_pname_a( X, pn
% 35.59/35.97 ) ), image_pname_a( X, u ) ) ) }.
% 35.59/35.97 substitution0:
% 35.59/35.97 end
% 35.59/35.97 substitution1:
% 35.59/35.97 X := mgt_call
% 35.59/35.97 end
% 35.59/35.97
% 35.59/35.97 subsumption: (190108) {G3,W8,D4,L1,V0,M1} R(482,373);r(45810) { ! hBOOL(
% 35.59/35.97 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool, g )
% 35.59/35.97 , image_pname_a( mgt_call, u ) ) ) }.
% 35.59/35.97 parent0: (192613) {G2,W8,D4,L1,V0,M1} { ! hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.97 hAPP_f1631501043l_bool( ord_le1311769555a_bool, g ), image_pname_a(
% 35.59/35.97 mgt_call, u ) ) ) }.
% 35.59/35.97 substitution0:
% 35.59/35.97 end
% 35.59/35.97 permutation0:
% 35.59/35.97 0 ==> 0
% 35.59/35.97 end
% 35.59/35.97
% 35.59/35.97 resolution: (192614) {G1,W0,D0,L0,V0,M0} { }.
% 35.59/35.97 parent0[0]: (190108) {G3,W8,D4,L1,V0,M1} R(482,373);r(45810) { ! hBOOL(
% 35.59/35.97 hAPP_fun_a_bool_bool( hAPP_f1631501043l_bool( ord_le1311769555a_bool, g )
% 35.59/35.97 , image_pname_a( mgt_call, u ) ) ) }.
% 35.59/35.97 parent1[0]: (477) {G0,W8,D4,L1,V0,M1} I { hBOOL( hAPP_fun_a_bool_bool(
% 35.59/35.97 hAPP_f1631501043l_bool( ord_le1311769555a_bool, g ), image_pname_a(
% 35.59/35.97 mgt_call, u ) ) ) }.
% 35.59/35.97 substitution0:
% 35.59/35.97 end
% 35.59/35.97 substitution1:
% 35.59/35.97 end
% 35.59/35.97
% 35.59/35.97 subsumption: (191043) {G4,W0,D0,L0,V0,M0} S(477);r(190108) { }.
% 35.59/35.97 parent0: (192614) {G1,W0,D0,L0,V0,M0} { }.
% 35.59/35.97 substitution0:
% 35.59/35.97 end
% 35.59/35.97 permutation0:
% 35.59/35.97 end
% 35.59/35.97
% 35.59/35.97 Proof check complete!
% 35.59/35.97
% 35.59/35.97 Memory use:
% 35.59/35.97
% 35.59/35.97 space for terms: 5125988
% 35.59/35.97 space for clauses: 9127735
% 35.59/35.97
% 35.59/35.97
% 35.59/35.97 clauses generated: 669428
% 35.59/35.97 clauses kept: 191044
% 35.59/35.97 clauses selected: 2005
% 35.59/35.97 clauses deleted: 1205
% 35.59/35.97 clauses inuse deleted: 30
% 35.59/35.97
% 35.59/35.97 subsentry: 2702278
% 35.59/35.97 literals s-matched: 2082405
% 35.59/35.97 literals matched: 2042706
% 35.59/35.97 full subsumption: 1378977
% 35.59/35.97
% 35.59/35.97 checksum: -575720804
% 35.59/35.97
% 35.59/35.97
% 35.59/35.97 Bliksem ended
%------------------------------------------------------------------------------