%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWW473+1 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n001.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  : 300s
% DateTime : Fri May 19 12:26:15 EDT 2023

% Result   : Theorem 0.48s 1.38s
% Output   : Proof 0.48s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWW473+1 : TPTP v8.1.2. Released v5.3.0.
% 0.04/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n001.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Thu May 18 22:49:20 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.48/1.38  
% 0.48/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.48/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/1.38  %-----------------------------------------------------
% 0.48/1.38  ncf(matrix, plain, [(4891 ^ _574123) ^ [] : [hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, insert_a(hAPP_pname_a(mgt_call, pn), g)), image_pname_a(mgt_call, u)))], (2 ^ _574123) ^ [_574267] : [-(_574267 = _574267)], (4 ^ _574123) ^ [_574374, _574376] : [_574376 = _574374, -(_574374 = _574376)], (10 ^ _574123) ^ [_574578, _574580, _574582] : [-(_574582 = _574578), _574582 = _574580, _574580 = _574578], (20 ^ _574123) ^ [_574891, _574893] : [-(is_bool(_574891)), _574893 = _574891, is_bool(_574893)], (30 ^ _574123) ^ [_575186, _575188] : [-(is_fun1661590463l_bool(_575186)), _575188 = _575186, is_fun1661590463l_bool(_575188)], (40 ^ _574123) ^ [_575481, _575483] : [-(is_fun949378684l_bool(_575481)), _575483 = _575481, is_fun949378684l_bool(_575483)], (50 ^ _574123) ^ [_575776, _575778] : [-(is_a(_575776)), _575778 = _575776, is_a(_575778)], (60 ^ _574123) ^ [_576071, _576073] : [-(is_pname(_576071)), _576073 = _576071, is_pname(_576073)], (70 ^ _574123) ^ [_576366, _576368] : [-(is_fun_a_bool(_576366)), _576368 = _576366, is_fun_a_bool(_576368)], (80 ^ _574123) ^ [_576661, _576663] : [-(is_fun_pname_bool(_576661)), _576663 = _576661, is_fun_pname_bool(_576663)], (90 ^ _574123) ^ [_576936, _576938] : [-(hBOOL(_576936)), _576938 = _576936, hBOOL(_576938)], (100 ^ _574123) ^ [_577251, _577253] : [_577253 = _577251, -(undefined_a(_577253) = undefined_a(_577251))], (106 ^ _574123) ^ [_577469, _577471] : [_577471 = _577469, -(undefined_pname(_577471) = undefined_pname(_577469))], (112 ^ _574123) ^ [_577687, _577689] : [_577689 = _577687, -(undefined_fun_a_bool(_577689) = undefined_fun_a_bool(_577687))], (118 ^ _574123) ^ [_577905, _577907] : [_577907 = _577905, -(undefi17486888e_bool(_577907) = undefi17486888e_bool(_577905))], (124 ^ _574123) ^ [_578123, _578125] : [_578125 = _578123, -(undefi1699038445l_bool(_578125) = undefi1699038445l_bool(_578123))], (130 ^ _574123) ^ [_578341, _578343] : [_578343 = _578341, -(undefi64961550l_bool(_578343) = undefi64961550l_bool(_578341))], (136 ^ _574123) ^ [_578587, _578589, _578591, _578593] : [-(fun(_578593, _578589) = fun(_578591, _578587)), _578593 = _578591, _578589 = _578587], (146 ^ _574123) ^ [_578918, _578920] : [_578920 = _578918, -(p(_578920) = p(_578918))], (152 ^ _574123) ^ [_579164, _579166, _579168, _579170] : [-(hAPP_f1295398978l_bool(_579170, _579166) = hAPP_f1295398978l_bool(_579168, _579164)), _579170 = _579168, _579166 = _579164], (162 ^ _574123) ^ [_579495, _579497] : [_579497 = _579495, -(collec1874991203l_bool(_579497) = collec1874991203l_bool(_579495))], (168 ^ _574123) ^ [_579741, _579743, _579745, _579747] : [-(hAPP_f595608956l_bool(_579747, _579743) = hAPP_f595608956l_bool(_579745, _579741)), _579747 = _579745, _579743 = _579741], (178 ^ _574123) ^ [_580072, _580074] : [_580074 = _580072, -(collec792590109l_bool(_580074) = collec792590109l_bool(_580072))], (184 ^ _574123) ^ [_580318, _580320, _580322, _580324] : [-(hAPP_f1363661463l_bool(_580324, _580320) = hAPP_f1363661463l_bool(_580322, _580318)), _580324 = _580322, _580320 = _580318], (194 ^ _574123) ^ [_580649, _580651] : [_580651 = _580649, -(collec1635217238l_bool(_580651) = collec1635217238l_bool(_580649))], (200 ^ _574123) ^ [_580867, _580869] : [_580869 = _580867, -(collec707592106l_bool(_580869) = collec707592106l_bool(_580867))], (206 ^ _574123) ^ [_581085, _581087] : [_581087 = _581085, -(collec1613912337l_bool(_581087) = collec1613912337l_bool(_581085))], (212 ^ _574123) ^ [_581303, _581305] : [_581305 = _581303, -(collec1015864663l_bool(_581305) = collec1015864663l_bool(_581303))], (218 ^ _574123) ^ [_581549, _581551, _581553, _581555] : [-(image_2089570637ol_nat(_581555, _581551) = image_2089570637ol_nat(_581553, _581549)), _581555 = _581553, _581551 = _581549], (228 ^ _574123) ^ [_581908, _581910, _581912, _581914] : [-(image_1079571347ol_nat(_581914, _581910) = image_1079571347ol_nat(_581912, _581908)), _581914 = _581912, _581910 = _581908], (238 ^ _574123) ^ [_582267, _582269, _582271, _582273] : [-(image_1802975832ol_nat(_582273, _582269) = image_1802975832ol_nat(_582271, _582267)), _582273 = _582271, _582269 = _582267], (248 ^ _574123) ^ [_582626, _582628, _582630, _582632] : [-(image_1604018183_pname(_582632, _582628) = image_1604018183_pname(_582630, _582626)), _582632 = _582630, _582628 = _582626], (258 ^ _574123) ^ [_582985, _582987, _582989, _582991] : [-(image_1705983821_pname(_582991, _582987) = image_1705983821_pname(_582989, _582985)), _582991 = _582989, _582987 = _582985], (268 ^ _574123) ^ [_583344, _583346, _583348, _583350] : [-(image_990671762_pname(_583350, _583346) = image_990671762_pname(_583348, _583344)), _583350 = _583348, _583346 = _583344], (278 ^ _574123) ^ [_583703, _583705, _583707, _583709] : [-(image_1607900221l_bool(_583709, _583705) = image_1607900221l_bool(_583707, _583703)), _583709 = _583707, _583705 = _583703], (288 ^ _574123) ^ [_584062, _584064, _584066, _584068] : [-(image_1874789623l_bool(_584068, _584064) = image_1874789623l_bool(_584066, _584062)), _584068 = _584066, _584064 = _584062], (298 ^ _574123) ^ [_584421, _584423, _584425, _584427] : [-(image_1208015684l_bool(_584427, _584423) = image_1208015684l_bool(_584425, _584421)), _584427 = _584425, _584423 = _584421], (308 ^ _574123) ^ [_584780, _584782, _584784, _584786] : [-(image_1154884483l_bool(_584786, _584782) = image_1154884483l_bool(_584784, _584780)), _584786 = _584784, _584782 = _584780], (318 ^ _574123) ^ [_585139, _585141, _585143, _585145] : [-(image_1642285373l_bool(_585145, _585141) = image_1642285373l_bool(_585143, _585139)), _585145 = _585143, _585141 = _585139], (328 ^ _574123) ^ [_585498, _585500, _585502, _585504] : [-(image_1420695166l_bool(_585504, _585500) = image_1420695166l_bool(_585502, _585498)), _585504 = _585502, _585500 = _585498], (338 ^ _574123) ^ [_585857, _585859, _585861, _585863] : [-(insert2003652156l_bool(_585863, _585859) = insert2003652156l_bool(_585861, _585857)), _585863 = _585861, _585859 = _585857], (348 ^ _574123) ^ [_586216, _586218, _586220, _586222] : [-(insert1117693814l_bool(_586222, _586218) = insert1117693814l_bool(_586220, _586216)), _586222 = _586220, _586218 = _586216], (358 ^ _574123) ^ [_586575, _586577, _586579, _586581] : [-(insert1457093509l_bool(_586581, _586577) = insert1457093509l_bool(_586579, _586575)), _586581 = _586579, _586577 = _586575], (368 ^ _574123) ^ [_586934, _586936, _586938, _586940] : [-(image_pname_nat(_586940, _586936) = image_pname_nat(_586938, _586934)), _586940 = _586938, _586936 = _586934], (378 ^ _574123) ^ [_587293, _587295, _587297, _587299] : [-(image_a_nat(_587299, _587295) = image_a_nat(_587297, _587293)), _587299 = _587297, _587295 = _587293], (388 ^ _574123) ^ [_587652, _587654, _587656, _587658] : [-(image_496248727ol_nat(_587658, _587654) = image_496248727ol_nat(_587656, _587652)), _587658 = _587656, _587654 = _587652], (398 ^ _574123) ^ [_588011, _588013, _588015, _588017] : [-(image_1551609309ol_nat(_588017, _588013) = image_1551609309ol_nat(_588015, _588011)), _588017 = _588015, _588013 = _588011], (408 ^ _574123) ^ [_588370, _588372, _588374, _588376] : [-(image_fun_a_bool_nat(_588376, _588372) = image_fun_a_bool_nat(_588374, _588370)), _588376 = _588374, _588372 = _588370], (418 ^ _574123) ^ [_588729, _588731, _588733, _588735] : [-(image_a_pname(_588735, _588731) = image_a_pname(_588733, _588729)), _588735 = _588733, _588731 = _588729], (428 ^ _574123) ^ [_589088, _589090, _589092, _589094] : [-(image_nat_pname(_589094, _589090) = image_nat_pname(_589092, _589088)), _589094 = _589092, _589090 = _589088], (438 ^ _574123) ^ [_589447, _589449, _589451, _589453] : [-(image_526090948bool_a(_589453, _589449) = image_526090948bool_a(_589451, _589447)), _589453 = _589451, _589449 = _589447], (448 ^ _574123) ^ [_589806, _589808, _589810, _589812] : [-(hAPP_f1690079119ol_nat(_589812, _589808) = hAPP_f1690079119ol_nat(_589810, _589806)), _589812 = _589810, _589808 = _589806], (458 ^ _574123) ^ [_590165, _590167, _590169, _590171] : [-(image_349102846bool_a(_590171, _590167) = image_349102846bool_a(_590169, _590165)), _590171 = _590169, _590167 = _590165], (468 ^ _574123) ^ [_590524, _590526, _590528, _590530] : [-(hAPP_f98387925ol_nat(_590530, _590526) = hAPP_f98387925ol_nat(_590528, _590524)), _590530 = _590528, _590526 = _590524], (478 ^ _574123) ^ [_590883, _590885, _590887, _590889] : [-(image_573985017bool_a(_590889, _590885) = image_573985017bool_a(_590887, _590883)), _590889 = _590887, _590885 = _590883], (488 ^ _574123) ^ [_591242, _591244, _591246, _591248] : [-(hAPP_f1253658590ol_nat(_591248, _591244) = hAPP_f1253658590ol_nat(_591246, _591242)), _591248 = _591246, _591244 = _591242], (498 ^ _574123) ^ [_591601, _591603, _591605, _591607] : [-(image_fun_a_bool_a(_591607, _591603) = image_fun_a_bool_a(_591605, _591601)), _591607 = _591605, _591603 = _591601], (508 ^ _574123) ^ [_591960, _591962, _591964, _591966] : [-(image_876012084bool_a(_591966, _591962) = image_876012084bool_a(_591964, _591960)), _591966 = _591964, _591962 = _591960], (518 ^ _574123) ^ [_592319, _592321, _592323, _592325] : [-(image_fun_nat_bool_a(_592325, _592321) = image_fun_nat_bool_a(_592323, _592319)), _592325 = _592323, _592321 = _592319], (528 ^ _574123) ^ [_592678, _592680, _592682, _592684] : [-(image_a_a(_592684, _592680) = image_a_a(_592682, _592678)), _592684 = _592682, _592680 = _592678], (538 ^ _574123) ^ [_593037, _593039, _593041, _593043] : [-(image_pname_pname(_593043, _593039) = image_pname_pname(_593041, _593037)), _593043 = _593041, _593039 = _593037], (548 ^ _574123) ^ [_593396, _593398, _593400, _593402] : [-(image_2129980159t_bool(_593402, _593398) = image_2129980159t_bool(_593400, _593396)), _593402 = _593400, _593398 = _593396], (558 ^ _574123) ^ [_593755, _593757, _593759, _593761] : [-(image_47868345e_bool(_593761, _593757) = image_47868345e_bool(_593759, _593755)), _593761 = _593759, _593757 = _593755], (568 ^ _574123) ^ [_594114, _594116, _594118, _594120] : [-(image_112932426a_bool(_594120, _594116) = image_112932426a_bool(_594118, _594114)), _594120 = _594118, _594116 = _594114], (578 ^ _574123) ^ [_594473, _594475, _594477, _594479] : [-(image_nat_a(_594479, _594475) = image_nat_a(_594477, _594473)), _594479 = _594477, _594475 = _594473], (588 ^ _574123) ^ [_594832, _594834, _594836, _594838] : [-(image_26036933t_bool(_594838, _594834) = image_26036933t_bool(_594836, _594832)), _594838 = _594836, _594834 = _594832], (598 ^ _574123) ^ [_595191, _595193, _595195, _595197] : [-(image_1655916159e_bool(_595197, _595193) = image_1655916159e_bool(_595195, _595191)), _595197 = _595195, _595193 = _595191], (608 ^ _574123) ^ [_595550, _595552, _595554, _595556] : [-(image_nat_fun_a_bool(_595556, _595552) = image_nat_fun_a_bool(_595554, _595550)), _595556 = _595554, _595552 = _595550], (618 ^ _574123) ^ [_595909, _595911, _595913, _595915] : [-(image_1921560913_pname(_595915, _595911) = image_1921560913_pname(_595913, _595909)), _595915 = _595913, _595911 = _595909], (628 ^ _574123) ^ [_596268, _596270, _596272, _596274] : [-(image_1283814551_pname(_596274, _596270) = image_1283814551_pname(_596272, _596268)), _596274 = _596272, _596270 = _596268], (638 ^ _574123) ^ [_596627, _596629, _596631, _596633] : [-(image_1854862208_pname(_596633, _596629) = image_1854862208_pname(_596631, _596627)), _596633 = _596631, _596629 = _596627], (648 ^ _574123) ^ [_596986, _596988, _596990, _596992] : [-(hAPP_f696928925ol_nat(_596992, _596988) = hAPP_f696928925ol_nat(_596990, _596986)), _596992 = _596990, _596988 = _596986], (658 ^ _574123) ^ [_597345, _597347, _597349, _597351] : [-(hAPP_f55526627ol_nat(_597351, _597347) = hAPP_f55526627ol_nat(_597349, _597345)), _597351 = _597349, _597347 = _597345], (668 ^ _574123) ^ [_597704, _597706, _597708, _597710] : [-(hAPP_f2009550088ol_nat(_597710, _597706) = hAPP_f2009550088ol_nat(_597708, _597704)), _597710 = _597708, _597706 = _597704], (678 ^ _574123) ^ [_598063, _598065, _598067, _598069] : [-(hAPP_f921600141ol_nat(_598069, _598065) = hAPP_f921600141ol_nat(_598067, _598063)), _598069 = _598067, _598065 = _598063], (688 ^ _574123) ^ [_598422, _598424, _598426, _598428] : [-(hAPP_f22106695ol_nat(_598428, _598424) = hAPP_f22106695ol_nat(_598426, _598422)), _598428 = _598426, _598424 = _598422], (698 ^ _574123) ^ [_598781, _598783, _598785, _598787] : [-(hAPP_n1025906991e_bool(_598787, _598783) = hAPP_n1025906991e_bool(_598785, _598781)), _598787 = _598785, _598783 = _598781], (708 ^ _574123) ^ [_599140, _599142, _599144, _599146] : [-(hAPP_nat_fun_a_bool(_599146, _599142) = hAPP_nat_fun_a_bool(_599144, _599140)), _599146 = _599144, _599142 = _599140], (718 ^ _574123) ^ [_599471, _599473] : [_599473 = _599471, -(collect_nat(_599473) = collect_nat(_599471))], (724 ^ _574123) ^ [_599689, _599691] : [_599691 = _599689, -(collect_pname(_599691) = collect_pname(_599689))], (730 ^ _574123) ^ [_599907, _599909] : [_599909 = _599907, -(collect_a(_599909) = collect_a(_599907))], (736 ^ _574123) ^ [_600153, _600155, _600157, _600159] : [-(insert_fun_nat_bool(_600159, _600155) = insert_fun_nat_bool(_600157, _600153)), _600159 = _600157, _600155 = _600153], (746 ^ _574123) ^ [_600484, _600486] : [_600486 = _600484, -(collect_fun_nat_bool(_600486) = collect_fun_nat_bool(_600484))], (752 ^ _574123) ^ [_600730, _600732, _600734, _600736] : [-(insert1325755072e_bool(_600736, _600732) = insert1325755072e_bool(_600734, _600730)), _600736 = _600734, _600732 = _600730], (762 ^ _574123) ^ [_601061, _601063] : [_601063 = _601061, -(collec1974731493e_bool(_601063) = collec1974731493e_bool(_601061))], (768 ^ _574123) ^ [_601307, _601309, _601311, _601313] : [-(insert_fun_a_bool(_601313, _601309) = insert_fun_a_bool(_601311, _601307)), _601313 = _601311, _601309 = _601307], (778 ^ _574123) ^ [_601638, _601640] : [_601640 = _601638, -(collect_fun_a_bool(_601640) = collect_fun_a_bool(_601638))], (784 ^ _574123) ^ [_601884, _601886, _601888, _601890] : [-(insert_nat(_601890, _601886) = insert_nat(_601888, _601884)), _601890 = _601888, _601886 = _601884], (794 ^ _574123) ^ [_602243, _602245, _602247, _602249] : [-(insert_pname(_602249, _602245) = insert_pname(_602247, _602243)), _602249 = _602247, _602245 = _602243], (804 ^ _574123) ^ [_602574, _602576] : [_602576 = _602574, -(cOMBC_a_a_bool(_602576) = cOMBC_a_a_bool(_602574))], (810 ^ _574123) ^ [_602820, _602822, _602824, _602826] : [-(cOMBB_bool_bool_a(_602826, _602822) = cOMBB_bool_bool_a(_602824, _602820)), _602826 = _602824, _602822 = _602820], (820 ^ _574123) ^ [_603179, _603181, _603183, _603185] : [-(cOMBS_a_bool_bool(_603185, _603181) = cOMBS_a_bool_bool(_603183, _603179)), _603185 = _603183, _603181 = _603179], (830 ^ _574123) ^ [_603538, _603540, _603542, _603544] : [-(hAPP_a93125764e_bool(_603544, _603540) = hAPP_a93125764e_bool(_603542, _603538)), _603544 = _603542, _603540 = _603538], (840 ^ _574123) ^ [_603869, _603871] : [_603871 = _603869, -(cOMBC_pname_a_bool(_603871) = cOMBC_pname_a_bool(_603869))], (846 ^ _574123) ^ [_604087, _604089] : [_604089 = _604087, -(cOMBC_nat_nat_bool(_604089) = cOMBC_nat_nat_bool(_604087))], (852 ^ _574123) ^ [_604333, _604335, _604337, _604339] : [-(cOMBB_bool_bool_nat(_604339, _604335) = cOMBB_bool_bool_nat(_604337, _604333)), _604339 = _604337, _604335 = _604333], (862 ^ _574123) ^ [_604692, _604694, _604696, _604698] : [-(cOMBS_nat_bool_bool(_604698, _604694) = cOMBS_nat_bool_bool(_604696, _604692)), _604698 = _604696, _604694 = _604692], (872 ^ _574123) ^ [_605051, _605053, _605055, _605057] : [-(cOMBB_647938656_pname(_605057, _605053) = cOMBB_647938656_pname(_605055, _605051)), _605057 = _605055, _605053 = _605051], (882 ^ _574123) ^ [_605410, _605412, _605414, _605416] : [-(cOMBS_568398431l_bool(_605416, _605412) = cOMBS_568398431l_bool(_605414, _605410)), _605416 = _605414, _605412 = _605410], (892 ^ _574123) ^ [_605741, _605743] : [_605743 = _605741, -(cOMBC_1149511130e_bool(_605743) = cOMBC_1149511130e_bool(_605741))], (898 ^ _574123) ^ [_605987, _605989, _605991, _605993] : [-(hAPP_p61793385e_bool(_605993, _605989) = hAPP_p61793385e_bool(_605991, _605987)), _605993 = _605991, _605989 = _605987], (908 ^ _574123) ^ [_606346, _606348, _606350, _606352] : [-(hAPP_f2050579477a_bool(_606352, _606348) = hAPP_f2050579477a_bool(_606350, _606346)), _606352 = _606350, _606348 = _606346], (918 ^ _574123) ^ [_606677, _606679] : [_606679 = _606677, -(cOMBC_1355376034l_bool(_606679) = cOMBC_1355376034l_bool(_606677))], (924 ^ _574123) ^ [_606923, _606925, _606927, _606929] : [-(hAPP_p1534023578a_bool(_606929, _606925) = hAPP_p1534023578a_bool(_606927, _606923)), _606929 = _606927, _606925 = _606923], (934 ^ _574123) ^ [_607282, _607284, _607286, _607288] : [-(cOMBB_1897541054_pname(_607288, _607284) = cOMBB_1897541054_pname(_607286, _607282)), _607288 = _607286, _607284 = _607282], (944 ^ _574123) ^ [_607641, _607643, _607645, _607647] : [-(hAPP_a_fun_a_bool(_607647, _607643) = hAPP_a_fun_a_bool(_607645, _607641)), _607647 = _607645, _607643 = _607641], (954 ^ _574123) ^ [_608000, _608002, _608004, _608006] : [-(cOMBB_2140588453a_bool(_608006, _608002) = cOMBB_2140588453a_bool(_608004, _608000)), _608006 = _608004, _608002 = _608000], (964 ^ _574123) ^ [_608359, _608361, _608363, _608365] : [-(hAPP_a_fun_bool_bool(_608365, _608361) = hAPP_a_fun_bool_bool(_608363, _608359)), _608365 = _608363, _608361 = _608359], (974 ^ _574123) ^ [_608718, _608720, _608722, _608724] : [-(cOMBB_1972296269bool_a(_608724, _608720) = cOMBB_1972296269bool_a(_608722, _608718)), _608724 = _608722, _608720 = _608718], (984 ^ _574123) ^ [_609077, _609079, _609081, _609083] : [-(hAPP_a_bool(_609083, _609079) = hAPP_a_bool(_609081, _609077)), _609083 = _609081, _609079 = _609077], (994 ^ _574123) ^ [_609436, _609438, _609440, _609442] : [-(cOMBS_1035972772l_bool(_609442, _609438) = cOMBS_1035972772l_bool(_609440, _609436)), _609442 = _609440, _609438 = _609436], (1004 ^ _574123) ^ [_609795, _609797, _609799, _609801] : [-(hAPP_f800510211t_bool(_609801, _609797) = hAPP_f800510211t_bool(_609799, _609795)), _609801 = _609799, _609797 = _609795], (1014 ^ _574123) ^ [_610126, _610128] : [_610128 = _610126, -(cOMBC_226598744l_bool(_610128) = cOMBC_226598744l_bool(_610126))], (1020 ^ _574123) ^ [_610372, _610374, _610376, _610378] : [-(hAPP_n215258509l_bool(_610378, _610374) = hAPP_n215258509l_bool(_610376, _610372)), _610378 = _610376, _610374 = _610372], (1030 ^ _574123) ^ [_610731, _610733, _610735, _610737] : [-(cOMBB_238756964t_bool(_610737, _610733) = cOMBB_238756964t_bool(_610735, _610731)), _610737 = _610735, _610733 = _610731], (1040 ^ _574123) ^ [_611090, _611092, _611094, _611096] : [-(hAPP_n1006566506l_bool(_611096, _611092) = hAPP_n1006566506l_bool(_611094, _611090)), _611096 = _611094, _611092 = _611090], (1050 ^ _574123) ^ [_611449, _611451, _611453, _611455] : [-(cOMBB_1015721476ol_nat(_611455, _611451) = cOMBB_1015721476ol_nat(_611453, _611449)), _611455 = _611453, _611451 = _611449], (1060 ^ _574123) ^ [_611808, _611810, _611812, _611814] : [-(cOMBS_1187019125l_bool(_611814, _611810) = cOMBS_1187019125l_bool(_611812, _611808)), _611814 = _611812, _611810 = _611808], (1070 ^ _574123) ^ [_612167, _612169, _612171, _612173] : [-(cOMBB_307249310e_bool(_612173, _612169) = cOMBB_307249310e_bool(_612171, _612167)), _612173 = _612171, _612169 = _612167], (1080 ^ _574123) ^ [_612526, _612528, _612530, _612532] : [-(hAPP_p393069232l_bool(_612532, _612528) = hAPP_p393069232l_bool(_612530, _612526)), _612532 = _612530, _612528 = _612526], (1090 ^ _574123) ^ [_612885, _612887, _612889, _612891] : [-(cOMBB_675860798_pname(_612891, _612887) = cOMBB_675860798_pname(_612889, _612885)), _612891 = _612889, _612887 = _612885], (1100 ^ _574123) ^ [_613244, _613246, _613248, _613250] : [-(cOMBS_350070575l_bool(_613250, _613246) = cOMBS_350070575l_bool(_613248, _613244)), _613250 = _613248, _613246 = _613244], (1110 ^ _574123) ^ [_613603, _613605, _613607, _613609] : [-(hAPP_bool_bool(_613609, _613605) = hAPP_bool_bool(_613607, _613603)), _613609 = _613607, _613605 = _613603], (1120 ^ _574123) ^ [_613962, _613964, _613966, _613968] : [-(hAPP_pname_bool(_613968, _613964) = hAPP_pname_bool(_613966, _613962)), _613968 = _613966, _613964 = _613962], (1130 ^ _574123) ^ [_614321, _614323, _614325, _614327] : [-(hAPP_f759274231e_bool(_614327, _614323) = hAPP_f759274231e_bool(_614325, _614321)), _614327 = _614325, _614323 = _614321], (1140 ^ _574123) ^ [_614652, _614654] : [_614654 = _614652, -(cOMBC_1058051404l_bool(_614654) = cOMBC_1058051404l_bool(_614652))], (1146 ^ _574123) ^ [_614870, _614872] : [_614872 = _614870, -(cOMBC_1732670874l_bool(_614872) = cOMBC_1732670874l_bool(_614870))], (1152 ^ _574123) ^ [_615116, _615118, _615120, _615122] : [-(hAPP_f198738859l_bool(_615122, _615118) = hAPP_f198738859l_bool(_615120, _615116)), _615122 = _615120, _615118 = _615116], (1162 ^ _574123) ^ [_615475, _615477, _615479, _615481] : [-(cOMBB_338059395a_bool(_615481, _615477) = cOMBB_338059395a_bool(_615479, _615475)), _615481 = _615479, _615477 = _615475], (1172 ^ _574123) ^ [_615806, _615808] : [_615808 = _615806, -(cOMBC_1693257480l_bool(_615808) = cOMBC_1693257480l_bool(_615806))], (1178 ^ _574123) ^ [_616052, _616054, _616056, _616058] : [-(hAPP_f103356543l_bool(_616058, _616054) = hAPP_f103356543l_bool(_616056, _616052)), _616058 = _616056, _616054 = _616052], (1188 ^ _574123) ^ [_616411, _616413, _616415, _616417] : [-(hAPP_f1748468828l_bool(_616417, _616413) = hAPP_f1748468828l_bool(_616415, _616411)), _616417 = _616415, _616413 = _616411], (1198 ^ _574123) ^ [_616770, _616772, _616774, _616776] : [-(cOMBB_444170502t_bool(_616776, _616772) = cOMBB_444170502t_bool(_616774, _616770)), _616776 = _616774, _616772 = _616770], (1208 ^ _574123) ^ [_617129, _617131, _617133, _617135] : [-(hAPP_f1476298914l_bool(_617135, _617131) = hAPP_f1476298914l_bool(_617133, _617129)), _617135 = _617133, _617131 = _617129], (1218 ^ _574123) ^ [_617488, _617490, _617492, _617494] : [-(cOMBB_2095475776e_bool(_617494, _617490) = cOMBB_2095475776e_bool(_617492, _617488)), _617494 = _617492, _617490 = _617488], (1228 ^ _574123) ^ [_617847, _617849, _617851, _617853] : [-(hAPP_b589554111l_bool(_617853, _617849) = hAPP_b589554111l_bool(_617851, _617847)), _617853 = _617851, _617849 = _617847], (1238 ^ _574123) ^ [_618178, _618180] : [_618180 = _618178, -(cOMBC_1284144636l_bool(_618180) = cOMBC_1284144636l_bool(_618178))], (1244 ^ _574123) ^ [_618424, _618426, _618428, _618430] : [-(hAPP_f434788991l_bool(_618430, _618426) = hAPP_f434788991l_bool(_618428, _618424)), _618430 = _618428, _618426 = _618424], (1254 ^ _574123) ^ [_618783, _618785, _618787, _618789] : [-(hAPP_f2117159681l_bool(_618789, _618785) = hAPP_f2117159681l_bool(_618787, _618783)), _618789 = _618787, _618785 = _618783], (1264 ^ _574123) ^ [_619114, _619116] : [_619116 = _619114, -(cOMBC_1880041174l_bool(_619116) = cOMBC_1880041174l_bool(_619114))], (1270 ^ _574123) ^ [_619360, _619362, _619364, _619366] : [-(hAPP_f285962445l_bool(_619366, _619362) = hAPP_f285962445l_bool(_619364, _619360)), _619366 = _619364, _619362 = _619360], (1280 ^ _574123) ^ [_619719, _619721, _619723, _619725] : [-(hAPP_f54304608l_bool(_619725, _619721) = hAPP_f54304608l_bool(_619723, _619719)), _619725 = _619723, _619721 = _619719], (1290 ^ _574123) ^ [_620078, _620080, _620082, _620084] : [-(hAPP_f1246832597l_bool(_620084, _620080) = hAPP_f1246832597l_bool(_620082, _620078)), _620084 = _620082, _620080 = _620078], (1300 ^ _574123) ^ [_620409, _620411] : [_620411 = _620409, -(cOMBC_1245412066l_bool(_620411) = cOMBC_1245412066l_bool(_620409))], (1306 ^ _574123) ^ [_620655, _620657, _620659, _620661] : [-(hAPP_f1951378235l_bool(_620661, _620657) = hAPP_f1951378235l_bool(_620659, _620655)), _620661 = _620659, _620657 = _620655], (1316 ^ _574123) ^ [_621014, _621016, _621018, _621020] : [-(hAPP_f559147733l_bool(_621020, _621016) = hAPP_f559147733l_bool(_621018, _621014)), _621020 = _621018, _621016 = _621014], (1326 ^ _574123) ^ [_621345, _621347] : [_621347 = _621345, -(cOMBC_1988546018l_bool(_621347) = cOMBC_1988546018l_bool(_621345))], (1332 ^ _574123) ^ [_621591, _621593, _621595, _621597] : [-(hAPP_f556039215l_bool(_621597, _621593) = hAPP_f556039215l_bool(_621595, _621591)), _621597 = _621595, _621593 = _621591], (1342 ^ _574123) ^ [_621922, _621924] : [_621924 = _621922, -(cOMBC_331553030l_bool(_621924) = cOMBC_331553030l_bool(_621922))], (1348 ^ _574123) ^ [_622168, _622170, _622172, _622174] : [-(hAPP_f621171935l_bool(_622174, _622170) = hAPP_f621171935l_bool(_622172, _622168)), _622174 = _622172, _622170 = _622168], (1358 ^ _574123) ^ [_622527, _622529, _622531, _622533] : [-(hAPP_f1434722111l_bool(_622533, _622529) = hAPP_f1434722111l_bool(_622531, _622527)), _622533 = _622531, _622529 = _622527], (1368 ^ _574123) ^ [_622858, _622860] : [_622860 = _622858, -(cOMBC_595898202l_bool(_622860) = cOMBC_595898202l_bool(_622858))], (1374 ^ _574123) ^ [_623104, _623106, _623108, _623110] : [-(hAPP_f1637334154l_bool(_623110, _623106) = hAPP_f1637334154l_bool(_623108, _623104)), _623110 = _623108, _623106 = _623104], (1384 ^ _574123) ^ [_623463, _623465, _623467, _623469] : [-(hAPP_f1772781669l_bool(_623469, _623465) = hAPP_f1772781669l_bool(_623467, _623463)), _623469 = _623467, _623465 = _623463], (1394 ^ _574123) ^ [_623794, _623796] : [_623796 = _623794, -(cOMBC_7971162l_bool(_623796) = cOMBC_7971162l_bool(_623794))], (1400 ^ _574123) ^ [_624040, _624042, _624044, _624046] : [-(hAPP_f1935102916l_bool(_624046, _624042) = hAPP_f1935102916l_bool(_624044, _624040)), _624046 = _624044, _624042 = _624040], (1410 ^ _574123) ^ [_624399, _624401, _624403, _624405] : [-(hAPP_f510955609l_bool(_624405, _624401) = hAPP_f510955609l_bool(_624403, _624399)), _624405 = _624403, _624401 = _624399], (1420 ^ _574123) ^ [_624730, _624732] : [_624732 = _624730, -(cOMBC_636888218l_bool(_624732) = cOMBC_636888218l_bool(_624730))], (1426 ^ _574123) ^ [_624976, _624978, _624980, _624982] : [-(hAPP_f292226953l_bool(_624982, _624978) = hAPP_f292226953l_bool(_624980, _624976)), _624982 = _624980, _624978 = _624976], (1436 ^ _574123) ^ [_625335, _625337, _625339, _625341] : [-(hAPP_f1050622307l_bool(_625341, _625337) = hAPP_f1050622307l_bool(_625339, _625335)), _625341 = _625339, _625337 = _625335], (1446 ^ _574123) ^ [_625666, _625668] : [_625668 = _625666, -(cOMBC_1269652216l_bool(_625668) = cOMBC_1269652216l_bool(_625666))], (1452 ^ _574123) ^ [_625912, _625914, _625916, _625918] : [-(hAPP_f937997336l_bool(_625918, _625914) = hAPP_f937997336l_bool(_625916, _625912)), _625918 = _625916, _625914 = _625912], (1462 ^ _574123) ^ [_626271, _626273, _626275, _626277] : [-(hAPP_f760187903l_bool(_626277, _626273) = hAPP_f760187903l_bool(_626275, _626271)), _626277 = _626275, _626273 = _626271], (1472 ^ _574123) ^ [_626602, _626604] : [_626604 = _626602, -(cOMBC_336095980l_bool(_626604) = cOMBC_336095980l_bool(_626602))], (1478 ^ _574123) ^ [_626848, _626850, _626852, _626854] : [-(hAPP_f389811538l_bool(_626854, _626850) = hAPP_f389811538l_bool(_626852, _626848)), _626854 = _626852, _626850 = _626848], (1488 ^ _574123) ^ [_627207, _627209, _627211, _627213] : [-(hAPP_f1759205631l_bool(_627213, _627209) = hAPP_f1759205631l_bool(_627211, _627207)), _627213 = _627211, _627209 = _627207], (1498 ^ _574123) ^ [_627566, _627568, _627570, _627572] : [-(hAPP_nat_bool(_627572, _627568) = hAPP_nat_bool(_627570, _627566)), _627572 = _627570, _627568 = _627566], (1508 ^ _574123) ^ [_627925, _627927, _627929, _627931] : [-(hAPP_n1699378549t_bool(_627931, _627927) = hAPP_n1699378549t_bool(_627929, _627925)), _627931 = _627929, _627927 = _627925], (1518 ^ _574123) ^ [_628256, _628258] : [_628258 = _628256, -(minus_minus_nat(_628258) = minus_minus_nat(_628256))], (1524 ^ _574123) ^ [_628502, _628504, _628506, _628508] : [-(hAPP_fun_a_bool_nat(_628508, _628504) = hAPP_fun_a_bool_nat(_628506, _628502)), _628508 = _628506, _628504 = _628502], (1534 ^ _574123) ^ [_628861, _628863, _628865, _628867] : [-(hAPP_nat_nat(_628867, _628863) = hAPP_nat_nat(_628865, _628861)), _628867 = _628865, _628863 = _628861], (1544 ^ _574123) ^ [_629220, _629222, _629224, _629226] : [-(hAPP_f1664156314l_bool(_629226, _629222) = hAPP_f1664156314l_bool(_629224, _629220)), _629226 = _629224, _629222 = _629220], (1554 ^ _574123) ^ [_629579, _629581, _629583, _629585] : [-(hAPP_p338031245l_bool(_629585, _629581) = hAPP_p338031245l_bool(_629583, _629579)), _629585 = _629583, _629581 = _629579], (1564 ^ _574123) ^ [_629938, _629940, _629942, _629944] : [-(hAPP_a85458249l_bool(_629944, _629940) = hAPP_a85458249l_bool(_629942, _629938)), _629944 = _629942, _629940 = _629938], (1574 ^ _574123) ^ [_630297, _630299, _630301, _630303] : [-(hAPP_fun_a_bool_bool(_630303, _630299) = hAPP_fun_a_bool_bool(_630301, _630297)), _630303 = _630301, _630299 = _630297], (1584 ^ _574123) ^ [_630656, _630658, _630660, _630662] : [-(hAPP_f1631501043l_bool(_630662, _630658) = hAPP_f1631501043l_bool(_630660, _630656)), _630662 = _630660, _630658 = _630656], (1594 ^ _574123) ^ [_631015, _631017, _631019, _631021] : [-(insert_a(_631021, _631017) = insert_a(_631019, _631015)), _631021 = _631019, _631017 = _631015], (1604 ^ _574123) ^ [_631374, _631376, _631378, _631380] : [-(hAPP_pname_a(_631380, _631376) = hAPP_pname_a(_631378, _631374)), _631380 = _631378, _631376 = _631374], (1614 ^ _574123) ^ [_631713, _631715, _631717, _631719] : [-(image_pname_a(_631719, _631715) = image_pname_a(_631717, _631713)), _631719 = _631717, _631715 = _631713], (1624 ^ _574123) ^ [_633271, _633273] : [is_fun_a_bool(_633271), -(is_fun_a_bool(cOMBB_bool_bool_a(_633273, _633271)))], (1630 ^ _574123) ^ [_633483, _633485] : [is_fun_pname_bool(_633483), -(is_fun_pname_bool(cOMBB_647938656_pname(_633485, _633483)))], (1636 ^ _574123) ^ [_633695, _633697] : [is_fun949378684l_bool(_633695), -(is_fun949378684l_bool(cOMBB_2140588453a_bool(_633697, _633695)))], (1642 ^ _574123) ^ [_633907, _633909] : [is_fun1661590463l_bool(_633907), -(is_fun1661590463l_bool(cOMBB_307249310e_bool(_633909, _633907)))], (1648 ^ _574123) ^ [_634119, _634121] : [is_fun_a_bool(_634119), -(is_fun_a_bool(cOMBS_a_bool_bool(_634121, _634119)))], (1654 ^ _574123) ^ [_634331, _634333] : [is_fun_pname_bool(_634331), -(is_fun_pname_bool(cOMBS_568398431l_bool(_634333, _634331)))], (1660 ^ _574123) ^ [_634543, _634545] : [is_fun949378684l_bool(_634543), -(is_fun949378684l_bool(cOMBS_1035972772l_bool(_634545, _634543)))], (1666 ^ _574123) ^ [_634755, _634757] : [is_fun1661590463l_bool(_634755), -(is_fun1661590463l_bool(cOMBS_350070575l_bool(_634757, _634755)))], (1672 ^ _574123) ^ [] : [-(is_fun949378684l_bool(finite_finite_a))], (1674 ^ _574123) ^ [] : [-(is_fun1661590463l_bool(finite_finite_pname))], (1676 ^ _574123) ^ [] : [-(is_a(undefined_a(x_a)))], (1678 ^ _574123) ^ [] : [-(is_pname(undefined_pname(pname)))], (1680 ^ _574123) ^ [] : [-(is_fun_a_bool(undefined_fun_a_bool(fun(x_a, bool))))], (1682 ^ _574123) ^ [] : [-(is_fun_pname_bool(undefi17486888e_bool(fun(pname, bool))))], (1684 ^ _574123) ^ [] : [-(is_fun949378684l_bool(undefi1699038445l_bool(fun(fun(x_a, bool), bool))))], (1686 ^ _574123) ^ [] : [-(is_fun1661590463l_bool(undefi64961550l_bool(fun(fun(pname, bool), bool))))], (1688 ^ _574123) ^ [_635377] : [is_fun_a_bool(_635377), -(is_fun_a_bool(collect_a(_635377)))], (1694 ^ _574123) ^ [_635567] : [is_fun_pname_bool(_635567), -(is_fun_pname_bool(collect_pname(_635567)))], (1700 ^ _574123) ^ [_635757] : [is_fun949378684l_bool(_635757), -(is_fun949378684l_bool(collect_fun_a_bool(_635757)))], (1706 ^ _574123) ^ [_635947] : [is_fun1661590463l_bool(_635947), -(is_fun1661590463l_bool(collec1974731493e_bool(_635947)))], (1712 ^ _574123) ^ [_636151, _636153] : [is_fun_a_bool(_636151), -(is_fun_a_bool(image_a_a(_636153, _636151)))], (1718 ^ _574123) ^ [_636363, _636365] : [is_fun_a_bool(_636363), -(is_fun_pname_bool(image_a_pname(_636365, _636363)))], (1724 ^ _574123) ^ [_636575, _636577] : [is_fun_pname_bool(_636575), -(is_fun_a_bool(image_pname_a(_636577, _636575)))], (1730 ^ _574123) ^ [_636787, _636789] : [is_fun_pname_bool(_636787), -(is_fun_pname_bool(image_pname_pname(_636789, _636787)))], (1736 ^ _574123) ^ [_636999, _637001] : [is_fun_pname_bool(_636999), -(is_fun949378684l_bool(image_112932426a_bool(_637001, _636999)))], (1742 ^ _574123) ^ [_637211, _637213] : [is_fun_pname_bool(_637211), -(is_fun1661590463l_bool(image_47868345e_bool(_637213, _637211)))], (1748 ^ _574123) ^ [_637408, _637410] : [-(is_fun_a_bool(image_nat_a(_637410, _637408)))], (1750 ^ _574123) ^ [_637504, _637506] : [-(is_fun_pname_bool(image_nat_pname(_637506, _637504)))], (1752 ^ _574123) ^ [_637600, _637602] : [-(is_fun949378684l_bool(image_nat_fun_a_bool(_637602, _637600)))], (1754 ^ _574123) ^ [_637696, _637698] : [-(is_fun1661590463l_bool(image_1655916159e_bool(_637698, _637696)))], (1756 ^ _574123) ^ [_637807, _637809] : [is_fun949378684l_bool(_637807), -(is_fun_a_bool(image_fun_a_bool_a(_637809, _637807)))], (1762 ^ _574123) ^ [_638019, _638021] : [is_fun949378684l_bool(_638019), -(is_fun_pname_bool(image_1854862208_pname(_638021, _638019)))], (1768 ^ _574123) ^ [_638231, _638233] : [is_fun1661590463l_bool(_638231), -(is_fun_a_bool(image_876012084bool_a(_638233, _638231)))], (1774 ^ _574123) ^ [_638443, _638445] : [is_fun1661590463l_bool(_638443), -(is_fun_pname_bool(image_1283814551_pname(_638445, _638443)))], (1780 ^ _574123) ^ [_638640, _638642] : [-(is_fun_a_bool(image_fun_nat_bool_a(_638642, _638640)))], (1782 ^ _574123) ^ [_638736, _638738] : [-(is_fun_pname_bool(image_1921560913_pname(_638738, _638736)))], (1784 ^ _574123) ^ [_638832, _638834] : [-(is_fun_a_bool(image_573985017bool_a(_638834, _638832)))], (1786 ^ _574123) ^ [_638928, _638930] : [-(is_fun_pname_bool(image_990671762_pname(_638930, _638928)))], (1788 ^ _574123) ^ [_639024, _639026] : [-(is_fun_a_bool(image_349102846bool_a(_639026, _639024)))], (1790 ^ _574123) ^ [_639120, _639122] : [-(is_fun_pname_bool(image_1705983821_pname(_639122, _639120)))], (1792 ^ _574123) ^ [_639216, _639218] : [-(is_fun_a_bool(image_526090948bool_a(_639218, _639216)))], (1794 ^ _574123) ^ [_639312, _639314] : [-(is_fun_pname_bool(image_1604018183_pname(_639314, _639312)))], (1796 ^ _574123) ^ [_639423, _639425] : [-(is_fun_a_bool(insert_a(_639425, _639423))), is_a(_639425), is_fun_a_bool(_639423)], (1806 ^ _574123) ^ [_639722, _639724] : [-(is_fun_pname_bool(insert_pname(_639724, _639722))), is_pname(_639724), is_fun_pname_bool(_639722)], (1816 ^ _574123) ^ [_640021, _640023] : [-(is_fun949378684l_bool(insert_fun_a_bool(_640023, _640021))), is_fun_a_bool(_640023), is_fun949378684l_bool(_640021)], (1826 ^ _574123) ^ [_640320, _640322] : [-(is_fun1661590463l_bool(insert1325755072e_bool(_640322, _640320))), is_fun_pname_bool(_640322), is_fun1661590463l_bool(_640320)], (1836 ^ _574123) ^ [_640619, _640621] : [-(is_bool(hAPP_a_bool(_640621, _640619))), is_fun_a_bool(_640621), is_a(_640619)], (1846 ^ _574123) ^ [_640918, _640920] : [is_a(_640918), -(is_fun_a_bool(hAPP_a_fun_a_bool(_640920, _640918)))], (1852 ^ _574123) ^ [_641130, _641132] : [is_a(_641130), -(is_fun_pname_bool(hAPP_a93125764e_bool(_641132, _641130)))], (1858 ^ _574123) ^ [_641342, _641344] : [is_a(_641342), -(is_fun949378684l_bool(hAPP_a85458249l_bool(_641344, _641342)))], (1864 ^ _574123) ^ [_641554, _641556] : [is_pname(_641554), -(is_a(hAPP_pname_a(_641556, _641554)))], (1870 ^ _574123) ^ [_641766, _641768] : [-(is_bool(hAPP_pname_bool(_641768, _641766))), is_fun_pname_bool(_641768), is_pname(_641766)], (1880 ^ _574123) ^ [_642065, _642067] : [is_pname(_642065), -(is_fun_a_bool(hAPP_p1534023578a_bool(_642067, _642065)))], (1886 ^ _574123) ^ [_642277, _642279] : [is_pname(_642277), -(is_fun_pname_bool(hAPP_p61793385e_bool(_642279, _642277)))], (1892 ^ _574123) ^ [_642489, _642491] : [is_pname(_642489), -(is_fun1661590463l_bool(hAPP_p338031245l_bool(_642491, _642489)))], (1898 ^ _574123) ^ [_642701, _642703] : [is_bool(_642701), -(is_bool(hAPP_bool_bool(_642703, _642701)))], (1904 ^ _574123) ^ [_642898, _642900] : [-(is_bool(hAPP_nat_bool(_642900, _642898)))], (1906 ^ _574123) ^ [_642994, _642996] : [-(is_fun_a_bool(hAPP_nat_fun_a_bool(_642996, _642994)))], (1908 ^ _574123) ^ [_643090, _643092] : [-(is_fun_pname_bool(hAPP_n1025906991e_bool(_643092, _643090)))], (1910 ^ _574123) ^ [_643201, _643203] : [-(is_bool(hAPP_fun_a_bool_bool(_643203, _643201))), is_fun949378684l_bool(_643203), is_fun_a_bool(_643201)], (1920 ^ _574123) ^ [_643500, _643502] : [is_fun_a_bool(_643500), -(is_fun_a_bool(hAPP_f2050579477a_bool(_643502, _643500)))], (1926 ^ _574123) ^ [_643712, _643714] : [is_fun_a_bool(_643712), -(is_fun949378684l_bool(hAPP_f1631501043l_bool(_643714, _643712)))], (1932 ^ _574123) ^ [_643924, _643926] : [-(is_bool(hAPP_f1664156314l_bool(_643926, _643924))), is_fun1661590463l_bool(_643926), is_fun_pname_bool(_643924)], (1942 ^ _574123) ^ [_644223, _644225] : [is_fun_pname_bool(_644223), -(is_fun_pname_bool(hAPP_f759274231e_bool(_644225, _644223)))], (1948 ^ _574123) ^ [_644435, _644437] : [is_fun_pname_bool(_644435), -(is_fun1661590463l_bool(hAPP_f434788991l_bool(_644437, _644435)))], (1954 ^ _574123) ^ [_644632, _644634] : [-(is_bool(hAPP_f54304608l_bool(_644634, _644632)))], (1956 ^ _574123) ^ [_644743, _644745] : [is_fun949378684l_bool(_644743), -(is_bool(hAPP_f621171935l_bool(_644745, _644743)))], (1962 ^ _574123) ^ [_644955, _644957] : [is_fun949378684l_bool(_644955), -(is_fun949378684l_bool(hAPP_f2117159681l_bool(_644957, _644955)))], (1968 ^ _574123) ^ [_645167, _645169] : [is_fun1661590463l_bool(_645167), -(is_bool(hAPP_f1935102916l_bool(_645169, _645167)))], (1974 ^ _574123) ^ [_645379, _645381] : [is_fun1661590463l_bool(_645379), -(is_fun1661590463l_bool(hAPP_f559147733l_bool(_645381, _645379)))], (1980 ^ _574123) ^ [_645576, _645578] : [-(is_bool(hAPP_f1637334154l_bool(_645578, _645576)))], (1982 ^ _574123) ^ [_645672, _645674] : [-(is_bool(hAPP_f292226953l_bool(_645674, _645672)))], (1984 ^ _574123) ^ [_645768, _645770] : [-(is_bool(hAPP_f389811538l_bool(_645770, _645768)))], (1986 ^ _574123) ^ [_645864, _645866] : [-(is_bool(hAPP_f937997336l_bool(_645866, _645864)))], (1988 ^ _574123) ^ [_645960, _645962] : [-(is_bool(hAPP_f1363661463l_bool(_645962, _645960)))], (1990 ^ _574123) ^ [_646056, _646058] : [-(is_bool(hAPP_f595608956l_bool(_646058, _646056)))], (1992 ^ _574123) ^ [_646152, _646154] : [-(is_bool(hAPP_f1295398978l_bool(_646154, _646152)))], (1994 ^ _574123) ^ [] : [-(is_fun_a_bool(g))], (1996 ^ _574123) ^ [_646302] : [is_fun_a_bool(_646302), -(is_fun949378684l_bool(p(_646302)))], (2002 ^ _574123) ^ [] : [-(is_fun_pname_bool(u))], (2004 ^ _574123) ^ [] : [-(is_pname(pn))], (2006 ^ _574123) ^ [_646612, _646614] : [hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _646614), _646612)), -(hBOOL(hAPP_fun_a_bool_bool(p(_646612), _646614)))], (2012 ^ _574123) ^ [_646826] : [hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _646826)), -(hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, collect_fun_nat_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(ord_le1568362934t_bool), _646826)))))], (2018 ^ _574123) ^ [_647034] : [hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _647034)), -(hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(ord_le313189616e_bool), _647034)))))], (2024 ^ _574123) ^ [_647242] : [hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _647242)), -(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, collect_fun_a_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(ord_le1311769555a_bool), _647242)))))], (2030 ^ _574123) ^ [_647450] : [hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool, _647450)), -(hBOOL(hAPP_f1295398978l_bool(finite719726885l_bool, collec1874991203l_bool(hAPP_f760187903l_bool(cOMBC_1269652216l_bool(ord_le65145710l_bool), _647450)))))], (2036 ^ _574123) ^ [_647658] : [hBOOL(hAPP_f389811538l_bool(finite786885583l_bool, _647658)), -(hBOOL(hAPP_f595608956l_bool(finite1491191519l_bool, collec792590109l_bool(hAPP_f1759205631l_bool(cOMBC_336095980l_bool(ord_le1375671464l_bool), _647658)))))], (2042 ^ _574123) ^ [_647866] : [hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool, _647866)), -(hBOOL(hAPP_f1363661463l_bool(finite1343359508l_bool, collec1635217238l_bool(hAPP_f1050622307l_bool(cOMBC_636888218l_bool(ord_le967226251l_bool), _647866)))))], (2048 ^ _574123) ^ [_648074] : [hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _648074)), -(hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool, collec707592106l_bool(hAPP_f1434722111l_bool(cOMBC_331553030l_bool(ord_le1375614389l_bool), _648074)))))], (2054 ^ _574123) ^ [_648282] : [hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _648282)), -(hBOOL(hAPP_f389811538l_bool(finite786885583l_bool, collec1613912337l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(ord_le675606854l_bool), _648282)))))], (2060 ^ _574123) ^ [_648490] : [hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _648490)), -(hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool, collec1015864663l_bool(hAPP_f1772781669l_bool(cOMBC_595898202l_bool(ord_le1454342156l_bool), _648490)))))], (2066 ^ _574123) ^ [_648712, _648714] : [hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _648712)), -(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, image_pname_a(_648714, _648712))))], (2072 ^ _574123) ^ [_648936, _648938] : [hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool, _648936)), -(hBOOL(hAPP_f54304608l_bool(finite_finite_nat, image_2089570637ol_nat(_648938, _648936))))], (2078 ^ _574123) ^ [_649160, _649162] : [hBOOL(hAPP_f389811538l_bool(finite786885583l_bool, _649160)), -(hBOOL(hAPP_f54304608l_bool(finite_finite_nat, image_1079571347ol_nat(_649162, _649160))))], (2084 ^ _574123) ^ [_649384, _649386] : [hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool, _649384)), -(hBOOL(hAPP_f54304608l_bool(finite_finite_nat, image_1802975832ol_nat(_649386, _649384))))], (2090 ^ _574123) ^ [_649608, _649610] : [hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _649608)), -(hBOOL(hAPP_f54304608l_bool(finite_finite_nat, image_fun_a_bool_nat(_649610, _649608))))], (2096 ^ _574123) ^ [_649832, _649834] : [hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _649832)), -(hBOOL(hAPP_f54304608l_bool(finite_finite_nat, image_1551609309ol_nat(_649834, _649832))))], (2102 ^ _574123) ^ [_650056, _650058] : [hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _650056)), -(hBOOL(hAPP_f54304608l_bool(finite_finite_nat, image_496248727ol_nat(_650058, _650056))))], (2108 ^ _574123) ^ [_650280, _650282] : [hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _650280)), -(hBOOL(hAPP_f54304608l_bool(finite_finite_nat, image_a_nat(_650282, _650280))))], (2114 ^ _574123) ^ [_650504, _650506] : [hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool, _650504)), -(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, image_1604018183_pname(_650506, _650504))))], (2120 ^ _574123) ^ [_650728, _650730] : [hBOOL(hAPP_f389811538l_bool(finite786885583l_bool, _650728)), -(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, image_1705983821_pname(_650730, _650728))))], (2126 ^ _574123) ^ [_650952, _650954] : [hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool, _650952)), -(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, image_990671762_pname(_650954, _650952))))], (2132 ^ _574123) ^ [_651176, _651178] : [hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _651176)), -(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, image_1854862208_pname(_651178, _651176))))], (2138 ^ _574123) ^ [_651400, _651402] : [hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _651400)), -(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, image_1283814551_pname(_651402, _651400))))], (2144 ^ _574123) ^ [_651624, _651626] : [hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _651624)), -(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, image_1921560913_pname(_651626, _651624))))], (2150 ^ _574123) ^ [_651848, _651850] : [hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _651848)), -(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, image_a_pname(_651850, _651848))))], (2156 ^ _574123) ^ [_652072, _652074] : [hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _652072)), -(hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool, image_1607900221l_bool(_652074, _652072))))], (2162 ^ _574123) ^ [_652296, _652298] : [hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _652296)), -(hBOOL(hAPP_f389811538l_bool(finite786885583l_bool, image_1874789623l_bool(_652298, _652296))))], (2168 ^ _574123) ^ [_652520, _652522] : [hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _652520)), -(hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool, image_1208015684l_bool(_652522, _652520))))], (2174 ^ _574123) ^ [_652744, _652746] : [hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _652744)), -(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, image_nat_fun_a_bool(_652746, _652744))))], (2180 ^ _574123) ^ [_652968, _652970] : [hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _652968)), -(hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, image_1655916159e_bool(_652970, _652968))))], (2186 ^ _574123) ^ [_653192, _653194] : [hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _653192)), -(hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, image_26036933t_bool(_653194, _653192))))], (2192 ^ _574123) ^ [_653416, _653418] : [hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _653416)), -(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, image_nat_a(_653418, _653416))))], (2198 ^ _574123) ^ [_653640, _653642] : [hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _653640)), -(hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool, image_1154884483l_bool(_653642, _653640))))], (2204 ^ _574123) ^ [_653864, _653866] : [hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _653864)), -(hBOOL(hAPP_f389811538l_bool(finite786885583l_bool, image_1642285373l_bool(_653866, _653864))))], (2210 ^ _574123) ^ [_654088, _654090] : [hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _654088)), -(hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool, image_1420695166l_bool(_654090, _654088))))], (2216 ^ _574123) ^ [_654312, _654314] : [hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _654312)), -(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, image_112932426a_bool(_654314, _654312))))], (2222 ^ _574123) ^ [_654536, _654538] : [hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _654536)), -(hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, image_47868345e_bool(_654538, _654536))))], (2228 ^ _574123) ^ [_654760, _654762] : [hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _654760)), -(hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, image_2129980159t_bool(_654762, _654760))))], (2234 ^ _574123) ^ [_654984, _654986] : [hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _654984)), -(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, image_pname_pname(_654986, _654984))))], (2240 ^ _574123) ^ [_655208, _655210] : [hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _655208)), -(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, image_a_a(_655210, _655208))))], (2246 ^ _574123) ^ [_655432, _655434] : [hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _655432)), -(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, image_fun_nat_bool_a(_655434, _655432))))], (2252 ^ _574123) ^ [_655656, _655658] : [hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _655656)), -(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, image_876012084bool_a(_655658, _655656))))], (2258 ^ _574123) ^ [_655880, _655882] : [hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _655880)), -(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, image_fun_a_bool_a(_655882, _655880))))], (2264 ^ _574123) ^ [_656104, _656106] : [hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _656104)), -(hBOOL(hAPP_f54304608l_bool(finite_finite_nat, image_pname_nat(_656106, _656104))))], (2270 ^ _574123) ^ [_656328, _656330] : [hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _656328)), -(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, image_nat_pname(_656330, _656328))))], (2276 ^ _574123) ^ [_656552, _656554] : [hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _656552)), -(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, insert_a(_656554, _656552))))], (2282 ^ _574123) ^ [_656776, _656778] : [hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _656776)), -(hBOOL(hAPP_f54304608l_bool(finite_finite_nat, insert_nat(_656778, _656776))))], (2288 ^ _574123) ^ [_657000, _657002] : [hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _657000)), -(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, insert_pname(_657002, _657000))))], (2294 ^ _574123) ^ [_657224, _657226] : [hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool, _657224)), -(hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool, insert2003652156l_bool(_657226, _657224))))], (2300 ^ _574123) ^ [_657448, _657450] : [hBOOL(hAPP_f389811538l_bool(finite786885583l_bool, _657448)), -(hBOOL(hAPP_f389811538l_bool(finite786885583l_bool, insert1117693814l_bool(_657450, _657448))))], (2306 ^ _574123) ^ [_657672, _657674] : [hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool, _657672)), -(hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool, insert1457093509l_bool(_657674, _657672))))], (2312 ^ _574123) ^ [_657896, _657898] : [hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _657896)), -(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, insert_fun_a_bool(_657898, _657896))))], (2318 ^ _574123) ^ [_658120, _658122] : [hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _658120)), -(hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, insert1325755072e_bool(_658122, _658120))))], (2324 ^ _574123) ^ [_658344, _658346] : [hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _658344)), -(hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, insert_fun_nat_bool(_658346, _658344))))], (2330 ^ _574123) ^ [_658568, _658570] : [hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _658568)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f22106695ol_nat(finite_card_nat, image_pname_nat(_658570, _658568))), hAPP_f921600141ol_nat(finite_card_pname, _658568))))], (2336 ^ _574123) ^ [_658810, _658812] : [hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _658810)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f22106695ol_nat(finite_card_nat, image_a_nat(_658812, _658810))), hAPP_fun_a_bool_nat(finite_card_a, _658810))))], (2342 ^ _574123) ^ [_659052, _659054] : [hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _659052)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f22106695ol_nat(finite_card_nat, image_496248727ol_nat(_659054, _659052))), hAPP_f696928925ol_nat(finite346522414t_bool, _659052))))], (2348 ^ _574123) ^ [_659294, _659296] : [hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _659294)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f22106695ol_nat(finite_card_nat, image_1551609309ol_nat(_659296, _659294))), hAPP_f55526627ol_nat(finite1340463720e_bool, _659294))))], (2354 ^ _574123) ^ [_659536, _659538] : [hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _659536)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f22106695ol_nat(finite_card_nat, image_fun_a_bool_nat(_659538, _659536))), hAPP_f2009550088ol_nat(finite1306199131a_bool, _659536))))], (2360 ^ _574123) ^ [_659778, _659780] : [hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _659778)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f921600141ol_nat(finite_card_pname, image_a_pname(_659780, _659778))), hAPP_fun_a_bool_nat(finite_card_a, _659778))))], (2366 ^ _574123) ^ [_660020, _660022] : [hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _660020)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f921600141ol_nat(finite_card_pname, image_nat_pname(_660022, _660020))), hAPP_f22106695ol_nat(finite_card_nat, _660020))))], (2372 ^ _574123) ^ [_660262, _660264] : [hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _660262)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, image_pname_a(_660264, _660262))), hAPP_f921600141ol_nat(finite_card_pname, _660262))))], (2378 ^ _574123) ^ [_660504, _660506] : [hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool, _660504)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, image_526090948bool_a(_660506, _660504))), hAPP_f1690079119ol_nat(finite1352710292l_bool, _660504))))], (2384 ^ _574123) ^ [_660746, _660748] : [hBOOL(hAPP_f389811538l_bool(finite786885583l_bool, _660746)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, image_349102846bool_a(_660748, _660746))), hAPP_f98387925ol_nat(finite269641166l_bool, _660746))))], (2390 ^ _574123) ^ [_660988, _660990] : [hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool, _660988)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, image_573985017bool_a(_660990, _660988))), hAPP_f1253658590ol_nat(finite1659325229l_bool, _660988))))], (2396 ^ _574123) ^ [_661230, _661232] : [hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _661230)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, image_fun_a_bool_a(_661232, _661230))), hAPP_f2009550088ol_nat(finite1306199131a_bool, _661230))))], (2402 ^ _574123) ^ [_661472, _661474] : [hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _661472)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, image_876012084bool_a(_661474, _661472))), hAPP_f55526627ol_nat(finite1340463720e_bool, _661472))))], (2408 ^ _574123) ^ [_661714, _661716] : [hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _661714)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, image_fun_nat_bool_a(_661716, _661714))), hAPP_f696928925ol_nat(finite346522414t_bool, _661714))))], (2414 ^ _574123) ^ [_661956, _661958] : [hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _661956)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, image_a_a(_661958, _661956))), hAPP_fun_a_bool_nat(finite_card_a, _661956))))], (2420 ^ _574123) ^ [_662198, _662200] : [hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _662198)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f921600141ol_nat(finite_card_pname, image_pname_pname(_662200, _662198))), hAPP_f921600141ol_nat(finite_card_pname, _662198))))], (2426 ^ _574123) ^ [_662440, _662442] : [hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _662440)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f696928925ol_nat(finite346522414t_bool, image_2129980159t_bool(_662442, _662440))), hAPP_f921600141ol_nat(finite_card_pname, _662440))))], (2432 ^ _574123) ^ [_662682, _662684] : [hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _662682)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f55526627ol_nat(finite1340463720e_bool, image_47868345e_bool(_662684, _662682))), hAPP_f921600141ol_nat(finite_card_pname, _662682))))], (2438 ^ _574123) ^ [_662924, _662926] : [hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _662924)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f2009550088ol_nat(finite1306199131a_bool, image_112932426a_bool(_662926, _662924))), hAPP_f921600141ol_nat(finite_card_pname, _662924))))], (2444 ^ _574123) ^ [_663166, _663168] : [hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _663166)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, image_nat_a(_663168, _663166))), hAPP_f22106695ol_nat(finite_card_nat, _663166))))], (2450 ^ _574123) ^ [_663408, _663410] : [hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _663408)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f696928925ol_nat(finite346522414t_bool, image_26036933t_bool(_663410, _663408))), hAPP_f22106695ol_nat(finite_card_nat, _663408))))], (2456 ^ _574123) ^ [_663650, _663652] : [hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _663650)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f55526627ol_nat(finite1340463720e_bool, image_1655916159e_bool(_663652, _663650))), hAPP_f22106695ol_nat(finite_card_nat, _663650))))], (2462 ^ _574123) ^ [_663892, _663894] : [hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _663892)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f2009550088ol_nat(finite1306199131a_bool, image_nat_fun_a_bool(_663894, _663892))), hAPP_f22106695ol_nat(finite_card_nat, _663892))))], (2468 ^ _574123) ^ [_664134, _664136] : [hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _664134)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f921600141ol_nat(finite_card_pname, image_1921560913_pname(_664136, _664134))), hAPP_f696928925ol_nat(finite346522414t_bool, _664134))))], (2474 ^ _574123) ^ [_664376, _664378] : [hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _664376)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f921600141ol_nat(finite_card_pname, image_1283814551_pname(_664378, _664376))), hAPP_f55526627ol_nat(finite1340463720e_bool, _664376))))], (2480 ^ _574123) ^ [_664618, _664620] : [hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _664618)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f921600141ol_nat(finite_card_pname, image_1854862208_pname(_664620, _664618))), hAPP_f2009550088ol_nat(finite1306199131a_bool, _664618))))], (2486 ^ _574123) ^ [_664860, _664862] : [hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _664860)), hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool, _664862), _664860)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f696928925ol_nat(finite346522414t_bool, _664862)), hAPP_f696928925ol_nat(finite346522414t_bool, _664860))))], (2496 ^ _574123) ^ [_665195, _665197] : [hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _665195)), hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool, _665197), _665195)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f55526627ol_nat(finite1340463720e_bool, _665197)), hAPP_f55526627ol_nat(finite1340463720e_bool, _665195))))], (2506 ^ _574123) ^ [_665530, _665532] : [hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _665530)), hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool, _665532), _665530)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f2009550088ol_nat(finite1306199131a_bool, _665532)), hAPP_f2009550088ol_nat(finite1306199131a_bool, _665530))))], (2516 ^ _574123) ^ [_665865, _665867] : [hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _665865)), hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _665867), _665865)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f921600141ol_nat(finite_card_pname, _665867)), hAPP_f921600141ol_nat(finite_card_pname, _665865))))], (2526 ^ _574123) ^ [_666200, _666202] : [hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _666200)), hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _666202), _666200)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, _666202)), hAPP_fun_a_bool_nat(finite_card_a, _666200))))], (2536 ^ _574123) ^ [_666535, _666537] : [hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _666535)), hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _666537), _666535)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f22106695ol_nat(finite_card_nat, _666537)), hAPP_f22106695ol_nat(finite_card_nat, _666535))))], (2546 ^ _574123) ^ [_666870, _666872] : [hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _666870)), hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool, _666872), _666870)), hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f696928925ol_nat(finite346522414t_bool, _666870)), hAPP_f696928925ol_nat(finite346522414t_bool, _666872))), -(_666872 = _666870)], (2560 ^ _574123) ^ [_667294, _667296] : [is_fun1661590463l_bool(_667296), is_fun1661590463l_bool(_667294), hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _667294)), hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool, _667296), _667294)), hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f55526627ol_nat(finite1340463720e_bool, _667294)), hAPP_f55526627ol_nat(finite1340463720e_bool, _667296))), -(_667296 = _667294)], (2582 ^ _574123) ^ [_667894, _667896] : [is_fun949378684l_bool(_667896), is_fun949378684l_bool(_667894), hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _667894)), hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool, _667896), _667894)), hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f2009550088ol_nat(finite1306199131a_bool, _667894)), hAPP_f2009550088ol_nat(finite1306199131a_bool, _667896))), -(_667896 = _667894)], (2604 ^ _574123) ^ [_668494, _668496] : [is_fun_pname_bool(_668496), is_fun_pname_bool(_668494), hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _668494)), hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _668496), _668494)), hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f921600141ol_nat(finite_card_pname, _668494)), hAPP_f921600141ol_nat(finite_card_pname, _668496))), -(_668496 = _668494)], (2626 ^ _574123) ^ [_669094, _669096] : [is_fun_a_bool(_669096), is_fun_a_bool(_669094), hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _669094)), hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _669096), _669094)), hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, _669094)), hAPP_fun_a_bool_nat(finite_card_a, _669096))), -(_669096 = _669094)], (2648 ^ _574123) ^ [_669694, _669696] : [hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _669694)), hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _669696), _669694)), hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f22106695ol_nat(finite_card_nat, _669694)), hAPP_f22106695ol_nat(finite_card_nat, _669696))), -(_669696 = _669694)], (2662 ^ _574123) ^ [_670118, _670120] : [hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _670118)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f696928925ol_nat(finite346522414t_bool, _670118)), hAPP_f696928925ol_nat(finite346522414t_bool, insert_fun_nat_bool(_670120, _670118)))))], (2668 ^ _574123) ^ [_670360, _670362] : [hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _670360)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f55526627ol_nat(finite1340463720e_bool, _670360)), hAPP_f55526627ol_nat(finite1340463720e_bool, insert1325755072e_bool(_670362, _670360)))))], (2674 ^ _574123) ^ [_670602, _670604] : [hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _670602)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f2009550088ol_nat(finite1306199131a_bool, _670602)), hAPP_f2009550088ol_nat(finite1306199131a_bool, insert_fun_a_bool(_670604, _670602)))))], (2680 ^ _574123) ^ [_670844, _670846] : [hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _670844)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f921600141ol_nat(finite_card_pname, _670844)), hAPP_f921600141ol_nat(finite_card_pname, insert_pname(_670846, _670844)))))], (2686 ^ _574123) ^ [_671086, _671088] : [hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _671086)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_f22106695ol_nat(finite_card_nat, _671086)), hAPP_f22106695ol_nat(finite_card_nat, insert_nat(_671088, _671086)))))], (2692 ^ _574123) ^ [_671328, _671330] : [hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _671328)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_fun_a_bool_nat(finite_card_a, _671328)), hAPP_fun_a_bool_nat(finite_card_a, insert_a(_671330, _671328)))))], (2698 ^ _574123) ^ [_671570, _671572] : [hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _671570)), 2701 ^ _574123 : [(2702 ^ _574123) ^ [] : [hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool, _671572), _671570)), -(hAPP_f696928925ol_nat(finite346522414t_bool, insert_fun_nat_bool(_671572, _671570)) = hAPP_f696928925ol_nat(finite346522414t_bool, _671570))], (2708 ^ _574123) ^ [] : [-(hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool, _671572), _671570))), -(hAPP_f696928925ol_nat(finite346522414t_bool, insert_fun_nat_bool(_671572, _671570)) = hAPP_nat_nat(suc, hAPP_f696928925ol_nat(finite346522414t_bool, _671570)))]]], (2714 ^ _574123) ^ [_672102, _672104] : [hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _672102)), 2717 ^ _574123 : [(2718 ^ _574123) ^ [] : [hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool, _672104), _672102)), -(hAPP_f55526627ol_nat(finite1340463720e_bool, insert1325755072e_bool(_672104, _672102)) = hAPP_f55526627ol_nat(finite1340463720e_bool, _672102))], (2724 ^ _574123) ^ [] : [-(hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool, _672104), _672102))), -(hAPP_f55526627ol_nat(finite1340463720e_bool, insert1325755072e_bool(_672104, _672102)) = hAPP_nat_nat(suc, hAPP_f55526627ol_nat(finite1340463720e_bool, _672102)))]]], (2730 ^ _574123) ^ [_672634, _672636] : [hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _672634)), 2733 ^ _574123 : [(2734 ^ _574123) ^ [] : [hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool, _672636), _672634)), -(hAPP_f2009550088ol_nat(finite1306199131a_bool, insert_fun_a_bool(_672636, _672634)) = hAPP_f2009550088ol_nat(finite1306199131a_bool, _672634))], (2740 ^ _574123) ^ [] : [-(hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool, _672636), _672634))), -(hAPP_f2009550088ol_nat(finite1306199131a_bool, insert_fun_a_bool(_672636, _672634)) = hAPP_nat_nat(suc, hAPP_f2009550088ol_nat(finite1306199131a_bool, _672634)))]]], (2746 ^ _574123) ^ [_673166, _673168] : [hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _673166)), 2749 ^ _574123 : [(2750 ^ _574123) ^ [] : [hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _673168), _673166)), -(hAPP_f22106695ol_nat(finite_card_nat, insert_nat(_673168, _673166)) = hAPP_f22106695ol_nat(finite_card_nat, _673166))], (2756 ^ _574123) ^ [] : [-(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _673168), _673166))), -(hAPP_f22106695ol_nat(finite_card_nat, insert_nat(_673168, _673166)) = hAPP_nat_nat(suc, hAPP_f22106695ol_nat(finite_card_nat, _673166)))]]], (2762 ^ _574123) ^ [_673698, _673700] : [hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _673698)), 2765 ^ _574123 : [(2766 ^ _574123) ^ [] : [hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _673700), _673698)), -(hAPP_f921600141ol_nat(finite_card_pname, insert_pname(_673700, _673698)) = hAPP_f921600141ol_nat(finite_card_pname, _673698))], (2772 ^ _574123) ^ [] : [-(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _673700), _673698))), -(hAPP_f921600141ol_nat(finite_card_pname, insert_pname(_673700, _673698)) = hAPP_nat_nat(suc, hAPP_f921600141ol_nat(finite_card_pname, _673698)))]]], (2778 ^ _574123) ^ [_674230, _674232] : [hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _674230)), 2781 ^ _574123 : [(2782 ^ _574123) ^ [] : [hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _674232), _674230)), -(hAPP_fun_a_bool_nat(finite_card_a, insert_a(_674232, _674230)) = hAPP_fun_a_bool_nat(finite_card_a, _674230))], (2788 ^ _574123) ^ [] : [-(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _674232), _674230))), -(hAPP_fun_a_bool_nat(finite_card_a, insert_a(_674232, _674230)) = hAPP_nat_nat(suc, hAPP_fun_a_bool_nat(finite_card_a, _674230)))]]], (2794 ^ _574123) ^ [_674762, _674764] : [hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _674762)), -(hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool, _674764), _674762))), -(hAPP_f696928925ol_nat(finite346522414t_bool, insert_fun_nat_bool(_674764, _674762)) = hAPP_nat_nat(suc, hAPP_f696928925ol_nat(finite346522414t_bool, _674762)))], (2804 ^ _574123) ^ [_675102, _675104] : [hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _675102)), -(hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool, _675104), _675102))), -(hAPP_f55526627ol_nat(finite1340463720e_bool, insert1325755072e_bool(_675104, _675102)) = hAPP_nat_nat(suc, hAPP_f55526627ol_nat(finite1340463720e_bool, _675102)))], (2814 ^ _574123) ^ [_675442, _675444] : [hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _675442)), -(hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool, _675444), _675442))), -(hAPP_f2009550088ol_nat(finite1306199131a_bool, insert_fun_a_bool(_675444, _675442)) = hAPP_nat_nat(suc, hAPP_f2009550088ol_nat(finite1306199131a_bool, _675442)))], (2824 ^ _574123) ^ [_675782, _675784] : [hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _675782)), -(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _675784), _675782))), -(hAPP_f22106695ol_nat(finite_card_nat, insert_nat(_675784, _675782)) = hAPP_nat_nat(suc, hAPP_f22106695ol_nat(finite_card_nat, _675782)))], (2834 ^ _574123) ^ [_676122, _676124] : [hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _676122)), -(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _676124), _676122))), -(hAPP_f921600141ol_nat(finite_card_pname, insert_pname(_676124, _676122)) = hAPP_nat_nat(suc, hAPP_f921600141ol_nat(finite_card_pname, _676122)))], (2844 ^ _574123) ^ [_676462, _676464] : [hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _676462)), -(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _676464), _676462))), -(hAPP_fun_a_bool_nat(finite_card_a, insert_a(_676464, _676462)) = hAPP_nat_nat(suc, hAPP_fun_a_bool_nat(finite_card_a, _676462)))], (2854 ^ _574123) ^ [_676802, _676804] : [2855 ^ _574123 : [(2856 ^ _574123) ^ [] : [hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, collect_fun_nat_bool(_676802)))], (2858 ^ _574123) ^ [] : [hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, collect_fun_nat_bool(_676804)))]], -(hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj, _676802), _676804)))))], (2862 ^ _574123) ^ [_677122, _677124] : [2863 ^ _574123 : [(2864 ^ _574123) ^ [] : [hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, collec1974731493e_bool(_677122)))], (2866 ^ _574123) ^ [] : [hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, collec1974731493e_bool(_677124)))]], -(hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj, _677122), _677124)))))], (2870 ^ _574123) ^ [_677442, _677444] : [2871 ^ _574123 : [(2872 ^ _574123) ^ [] : [hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, collect_fun_a_bool(_677442)))], (2874 ^ _574123) ^ [] : [hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, collect_fun_a_bool(_677444)))]], -(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj, _677442), _677444)))))], (2878 ^ _574123) ^ [_677762, _677764] : [2879 ^ _574123 : [(2880 ^ _574123) ^ [] : [hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, collect_a(_677762)))], (2882 ^ _574123) ^ [] : [hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, collect_a(_677764)))]], -(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj, _677762), _677764)))))], (2886 ^ _574123) ^ [_678082, _678084] : [2887 ^ _574123 : [(2888 ^ _574123) ^ [] : [hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, collect_pname(_678082)))], (2890 ^ _574123) ^ [] : [hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, collect_pname(_678084)))]], -(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj, _678082), _678084)))))], (2894 ^ _574123) ^ [_678402, _678404] : [2895 ^ _574123 : [(2896 ^ _574123) ^ [] : [hBOOL(hAPP_f54304608l_bool(finite_finite_nat, collect_nat(_678402)))], (2898 ^ _574123) ^ [] : [hBOOL(hAPP_f54304608l_bool(finite_finite_nat, collect_nat(_678404)))]], -(hBOOL(hAPP_f54304608l_bool(finite_finite_nat, collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj, _678402), _678404)))))], (2902 ^ _574123) ^ [_678722, _678724] : [hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _678724), _678722)), -(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc, _678722)), _678724) = hAPP_nat_nat(suc, hAPP_nat_nat(minus_minus_nat(_678722), _678724)))], (2908 ^ _574123) ^ [_678945] : [-(hBOOL(hAPP_f54304608l_bool(finite_finite_nat, collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_eq_nat), _678945)))))], (2910 ^ _574123) ^ [_679030] : [-(hAPP_f22106695ol_nat(finite_card_nat, collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_eq_nat), _679030))) = hAPP_nat_nat(suc, _679030))], (2912 ^ _574123) ^ [_679148, _679150] : [hAPP_nat_nat(suc, _679150) = hAPP_nat_nat(suc, _679148), -(_679150 = _679148)], (2918 ^ _574123) ^ [_679399, _679401] : [hAPP_nat_nat(suc, _679401) = hAPP_nat_nat(suc, _679399), -(_679401 = _679399)], (2924 ^ _574123) ^ [_679573, _679575] : [_679575 = _679573, -(hAPP_nat_nat(suc, _679575) = hAPP_nat_nat(suc, _679573))], (2930 ^ _574123) ^ [_679767] : [hAPP_nat_nat(suc, _679767) = _679767], (2932 ^ _574123) ^ [_679847] : [_679847 = hAPP_nat_nat(suc, _679847)], (2934 ^ _574123) ^ [_679957, _679959] : [hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _679959), _679957)), hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _679957), _679959)), -(_679959 = _679957)], (2944 ^ _574123) ^ [_680290, _680292, _680294] : [hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _680292), _680290)), hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _680290), _680294)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _680292), _680294)))], (2954 ^ _574123) ^ [_680629, _680631] : [_680631 = _680629, -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _680631), _680629)))], (2960 ^ _574123) ^ [_680849, _680851] : [-(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _680851), _680849))), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _680849), _680851)))], (2966 ^ _574123) ^ [_681051] : [-(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _681051), _681051)))], (2968 ^ _574123) ^ [_681162, _681164, _681166] : [-(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(_681166), _681164)), _681162) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(_681166), _681162)), _681164))], (2970 ^ _574123) ^ [_681322, _681324] : [hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj, _681324), _681322)))), 2973 ^ _574123 : [(2974 ^ _574123) ^ [] : [-(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, collect_pname(_681324))))], (2976 ^ _574123) ^ [] : [-(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, collect_pname(_681322))))]]], (2978 ^ _574123) ^ [_681595, _681597] : [-(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj, _681597), _681595))))), hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, collect_pname(_681597))), hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, collect_pname(_681595)))], (2988 ^ _574123) ^ [_681961, _681963] : [hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj, _681963), _681961)))), 2991 ^ _574123 : [(2992 ^ _574123) ^ [] : [-(hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, collect_fun_nat_bool(_681963))))], (2994 ^ _574123) ^ [] : [-(hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, collect_fun_nat_bool(_681961))))]]], (2996 ^ _574123) ^ [_682234, _682236] : [-(hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj, _682236), _682234))))), hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, collect_fun_nat_bool(_682236))), hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, collect_fun_nat_bool(_682234)))], (3006 ^ _574123) ^ [_682600, _682602] : [hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj, _682602), _682600)))), 3009 ^ _574123 : [(3010 ^ _574123) ^ [] : [-(hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, collec1974731493e_bool(_682602))))], (3012 ^ _574123) ^ [] : [-(hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, collec1974731493e_bool(_682600))))]]], (3014 ^ _574123) ^ [_682873, _682875] : [-(hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj, _682875), _682873))))), hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, collec1974731493e_bool(_682875))), hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, collec1974731493e_bool(_682873)))], (3024 ^ _574123) ^ [_683239, _683241] : [hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj, _683241), _683239)))), 3027 ^ _574123 : [(3028 ^ _574123) ^ [] : [-(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, collect_fun_a_bool(_683241))))], (3030 ^ _574123) ^ [] : [-(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, collect_fun_a_bool(_683239))))]]], (3032 ^ _574123) ^ [_683512, _683514] : [-(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj, _683514), _683512))))), hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, collect_fun_a_bool(_683514))), hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, collect_fun_a_bool(_683512)))], (3042 ^ _574123) ^ [_683878, _683880] : [hBOOL(hAPP_f54304608l_bool(finite_finite_nat, collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj, _683880), _683878)))), 3045 ^ _574123 : [(3046 ^ _574123) ^ [] : [-(hBOOL(hAPP_f54304608l_bool(finite_finite_nat, collect_nat(_683880))))], (3048 ^ _574123) ^ [] : [-(hBOOL(hAPP_f54304608l_bool(finite_finite_nat, collect_nat(_683878))))]]], (3050 ^ _574123) ^ [_684151, _684153] : [-(hBOOL(hAPP_f54304608l_bool(finite_finite_nat, collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj, _684153), _684151))))), hBOOL(hAPP_f54304608l_bool(finite_finite_nat, collect_nat(_684153))), hBOOL(hAPP_f54304608l_bool(finite_finite_nat, collect_nat(_684151)))], (3060 ^ _574123) ^ [_684517, _684519] : [hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj, _684519), _684517)))), 3063 ^ _574123 : [(3064 ^ _574123) ^ [] : [-(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, collect_a(_684519))))], (3066 ^ _574123) ^ [] : [-(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, collect_a(_684517))))]]], (3068 ^ _574123) ^ [_684790, _684792] : [-(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj, _684792), _684790))))), hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, collect_a(_684792))), hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, collect_a(_684790)))], (3078 ^ _574123) ^ [_685156, _685158] : [hBOOL(hAPP_f54304608l_bool(finite_finite_nat, insert_nat(_685158, _685156))), -(hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _685156)))], (3084 ^ _574123) ^ [_685332, _685334] : [hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _685332)), -(hBOOL(hAPP_f54304608l_bool(finite_finite_nat, insert_nat(_685334, _685332))))], (3090 ^ _574123) ^ [_685587, _685589] : [hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, insert_pname(_685589, _685587))), -(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _685587)))], (3096 ^ _574123) ^ [_685763, _685765] : [hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _685763)), -(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, insert_pname(_685765, _685763))))], (3102 ^ _574123) ^ [_686018, _686020] : [hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, insert_a(_686020, _686018))), -(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _686018)))], (3108 ^ _574123) ^ [_686194, _686196] : [hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _686194)), -(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, insert_a(_686196, _686194))))], (3114 ^ _574123) ^ [_686449, _686451] : [hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, insert_fun_nat_bool(_686451, _686449))), -(hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _686449)))], (3120 ^ _574123) ^ [_686625, _686627] : [hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _686625)), -(hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, insert_fun_nat_bool(_686627, _686625))))], (3126 ^ _574123) ^ [_686880, _686882] : [hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, insert1325755072e_bool(_686882, _686880))), -(hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _686880)))], (3132 ^ _574123) ^ [_687056, _687058] : [hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _687056)), -(hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, insert1325755072e_bool(_687058, _687056))))], (3138 ^ _574123) ^ [_687311, _687313] : [hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, insert_fun_a_bool(_687313, _687311))), -(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _687311)))], (3144 ^ _574123) ^ [_687487, _687489] : [hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _687487)), -(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, insert_fun_a_bool(_687489, _687487))))], (3150 ^ _574123) ^ [_687713, _687715] : [hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool, _687715), _687713)), hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _687713)), -(hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _687715)))], (3160 ^ _574123) ^ [_688030, _688032] : [hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool, _688032), _688030)), hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _688030)), -(hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _688032)))], (3170 ^ _574123) ^ [_688347, _688349] : [hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _688349), _688347)), hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _688347)), -(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _688349)))], (3180 ^ _574123) ^ [_688664, _688666] : [hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool, _688666), _688664)), hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _688664)), -(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _688666)))], (3190 ^ _574123) ^ [_688981, _688983] : [hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _688983), _688981)), hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _688981)), -(hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _688983)))], (3200 ^ _574123) ^ [_689298, _689300] : [hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _689300), _689298)), hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _689298)), -(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _689300)))], (3210 ^ _574123) ^ [_689615, _689617] : [hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _689615)), hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool, _689617), _689615)), -(hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool, _689617)))], (3220 ^ _574123) ^ [_689932, _689934] : [hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _689932)), hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool, _689934), _689932)), -(hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool, _689934)))], (3230 ^ _574123) ^ [_690249, _690251] : [hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _690249)), hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _690251), _690249)), -(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _690251)))], (3240 ^ _574123) ^ [_690566, _690568] : [hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _690566)), hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool, _690568), _690566)), -(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool, _690568)))], (3250 ^ _574123) ^ [_690883, _690885] : [hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _690883)), hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _690885), _690883)), -(hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _690885)))], (3260 ^ _574123) ^ [_691200, _691202] : [hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _691200)), hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _691202), _691200)), -(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _691202)))], (3270 ^ _574123) ^ [_691517, _691519] : [hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(suc, _691519)), _691517)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _691519), _691517)))], (3276 ^ _574123) ^ [_691753, _691755] : [hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _691755), hAPP_nat_nat(suc, _691753))), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _691755), _691753))), -(_691755 = hAPP_nat_nat(suc, _691753))], (3286 ^ _574123) ^ [_692087, _692089] : [hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _692089), _692087)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _692089), hAPP_nat_nat(suc, _692087))))], (3292 ^ _574123) ^ [_692352, _692354] : [hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(suc, _692354)), hAPP_nat_nat(suc, _692352))), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _692354), _692352)))], (3298 ^ _574123) ^ [_692546, _692548] : [hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _692548), _692546)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(suc, _692548)), hAPP_nat_nat(suc, _692546))))], (3314 ^ _574123) ^ [_693103, _693105] : [3315 ^ _574123 : [(3316 ^ _574123) ^ [] : [hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _693105), _693103))], (3318 ^ _574123) ^ [] : [_693105 = hAPP_nat_nat(suc, _693103)]], -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _693105), hAPP_nat_nat(suc, _693103))))], (3304 ^ _574123) ^ [_692819, _692821] : [hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _692821), hAPP_nat_nat(suc, _692819))), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _692821), _692819))), -(_692821 = hAPP_nat_nat(suc, _692819))], (3322 ^ _574123) ^ [_693450, _693452] : [-(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _693452), _693450))), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(suc, _693450)), _693452)))], (3328 ^ _574123) ^ [_693641, _693643] : [hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(suc, _693641)), _693643)), hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _693643), _693641))], (3334 ^ _574123) ^ [_693850] : [hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(suc, _693850)), _693850))], (3336 ^ _574123) ^ [_693964, _693966, _693968] : [-(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc, _693968)), _693966)), hAPP_nat_nat(suc, _693964)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(_693968), _693966)), _693964))], (3338 ^ _574123) ^ [_694086, _694088] : [-(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc, _694088)), hAPP_nat_nat(suc, _694086)) = hAPP_nat_nat(minus_minus_nat(_694088), _694086))], (3340 ^ _574123) ^ [_694225, _694227, _694229] : [hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _694227), _694225)), hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _694227), _694229)), 3347 ^ _574123 : [(3348 ^ _574123) ^ [] : [hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(minus_minus_nat(_694225), _694227)), hAPP_nat_nat(minus_minus_nat(_694229), _694227))), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _694225), _694229)))], (3354 ^ _574123) ^ [] : [hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _694225), _694229)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(minus_minus_nat(_694225), _694227)), hAPP_nat_nat(minus_minus_nat(_694229), _694227))))]]], (3360 ^ _574123) ^ [_694888, _694890, _694892] : [hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _694890), _694888)), hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _694890), _694892)), -(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(_694888), _694890)), hAPP_nat_nat(minus_minus_nat(_694892), _694890)) = hAPP_nat_nat(minus_minus_nat(_694888), _694892))], (3370 ^ _574123) ^ [_695271, _695273, _695275] : [hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _695273), _695271)), hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _695273), _695275)), 3377 ^ _574123 : [(3378 ^ _574123) ^ [] : [hAPP_nat_nat(minus_minus_nat(_695271), _695273) = hAPP_nat_nat(minus_minus_nat(_695275), _695273), -(_695271 = _695275)], (3384 ^ _574123) ^ [] : [_695271 = _695275, -(hAPP_nat_nat(minus_minus_nat(_695271), _695273) = hAPP_nat_nat(minus_minus_nat(_695275), _695273))]]], (3390 ^ _574123) ^ [_695890, _695892] : [hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _695892), _695890)), -(hAPP_nat_nat(minus_minus_nat(_695890), hAPP_nat_nat(minus_minus_nat(_695890), _695892)) = _695892)], (3396 ^ _574123) ^ [_696144, _696146, _696148] : [hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _696146), _696144)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(minus_minus_nat(_696146), _696148)), hAPP_nat_nat(minus_minus_nat(_696144), _696148))))], (3402 ^ _574123) ^ [_696414, _696416, _696418] : [hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _696416), _696414)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(minus_minus_nat(_696418), _696414)), hAPP_nat_nat(minus_minus_nat(_696418), _696416))))], (3408 ^ _574123) ^ [_696655, _696657] : [-(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(minus_minus_nat(_696657), _696655)), _696657)))], (3410 ^ _574123) ^ [_696788, _696790, _696792] : [hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _696788)), hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _696792), image_pname_a(_696790, _696788))), -(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _696792)))], (3420 ^ _574123) ^ [_697135, _697137, _697139] : [is_fun_a_bool(_697135), hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, _697135)), hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _697135), image_pname_a(_697139, _697137))), 3432 ^ _574123 : [(3433 ^ _574123) ^ [] : [-(is_fun_pname_bool(3431 ^ [_697135, _697137, _697139]))], (3435 ^ _574123) ^ [] : [-(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, 3431 ^ [_697135, _697137, _697139]), _697137)))], (3437 ^ _574123) ^ [] : [-(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, 3431 ^ [_697135, _697137, _697139])))], (3439 ^ _574123) ^ [] : [-(_697135 = image_pname_a(_697139, 3431 ^ [_697135, _697137, _697139]))]]], (3441 ^ _574123) ^ [_697933, _697935, _697937] : [hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, hAPP_n1699378549t_bool(_697933, 3442 ^ [_697933, _697935, _697937])), hAPP_n1699378549t_bool(_697933, hAPP_nat_nat(suc, 3442 ^ [_697933, _697935, _697937])))), hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _697937), _697935)), -(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, hAPP_n1699378549t_bool(_697933, _697937)), hAPP_n1699378549t_bool(_697933, _697935))))], (3452 ^ _574123) ^ [_698402, _698404, _698406] : [hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, hAPP_n1025906991e_bool(_698402, 3453 ^ [_698402, _698404, _698406])), hAPP_n1025906991e_bool(_698402, hAPP_nat_nat(suc, 3453 ^ [_698402, _698404, _698406])))), hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _698406), _698404)), -(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, hAPP_n1025906991e_bool(_698402, _698406)), hAPP_n1025906991e_bool(_698402, _698404))))], (3463 ^ _574123) ^ [_698871, _698873, _698875] : [hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(_698871, 3464 ^ [_698871, _698873, _698875])), hAPP_nat_nat(_698871, hAPP_nat_nat(suc, 3464 ^ [_698871, _698873, _698875])))), hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _698875), _698873)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(_698871, _698875)), hAPP_nat_nat(_698871, _698873))))], (3474 ^ _574123) ^ [_699340, _699342, _699344] : [hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, hAPP_nat_fun_a_bool(_699340, 3475 ^ [_699340, _699342, _699344])), hAPP_nat_fun_a_bool(_699340, hAPP_nat_nat(suc, 3475 ^ [_699340, _699342, _699344])))), hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _699344), _699342)), -(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, hAPP_nat_fun_a_bool(_699340, _699344)), hAPP_nat_fun_a_bool(_699340, _699342))))], (3485 ^ _574123) ^ [_699795, _699797] : [-(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, _699795))), hBOOL(hAPP_fun_a_bool_bool(finite_finite_a, image_pname_a(_699797, _699795))), 3493 ^ _574123 : [(3494 ^ _574123) ^ [] : [-(is_pname(3492 ^ [_699795, _699797]))], (3496 ^ _574123) ^ [] : [-(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, 3492 ^ [_699795, _699797]), _699795)))], (3498 ^ _574123) ^ [] : [hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj, hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname), _699795)), hAPP_a93125764e_bool(cOMBC_pname_a_bool(cOMBB_1897541054_pname(fequal_a, _699797)), hAPP_pname_a(_699797, 3492 ^ [_699795, _699797]))))))]]], (3500 ^ _574123) ^ [_700458, _700460, _700462, _700464] : [_700462 = hAPP_pname_a(_700460, _700458), hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _700458), _700464)), -(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _700462), image_pname_a(_700460, _700464))))], (3510 ^ _574123) ^ [_700809, _700811] : [hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _700811), _700809)), hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _700809), _700811)), -(_700811 = _700809)], (3520 ^ _574123) ^ [_701128, _701130] : [is_fun_pname_bool(_701130), is_fun_pname_bool(_701128), hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _701130), _701128)), hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _701128), _701130)), -(_701130 = _701128)], (3538 ^ _574123) ^ [_701623, _701625] : [is_fun_a_bool(_701625), is_fun_a_bool(_701623), hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _701625), _701623)), hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _701623), _701625)), -(_701625 = _701623)], (3556 ^ _574123) ^ [_702132, _702134, _702136] : [hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _702134), _702132)), hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _702136), _702134)), -(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _702136), _702132)))], (3566 ^ _574123) ^ [_702485, _702487, _702489] : [hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _702487), _702485)), hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _702489), _702487)), -(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _702489), _702485)))], (3576 ^ _574123) ^ [_702838, _702840, _702842] : [hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _702840), _702838)), hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _702842), _702840)), -(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _702842), _702838)))], (3586 ^ _574123) ^ [_703191, _703193, _703195] : [3587 ^ _574123 : [(3588 ^ _574123) ^ [] : [hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _703193), _703191))], (3590 ^ _574123) ^ [] : [_703193 = _703195]], -(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _703193), insert_nat(_703195, _703191))))], (3594 ^ _574123) ^ [_703525, _703527, _703529] : [3595 ^ _574123 : [(3596 ^ _574123) ^ [] : [hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _703527), _703525))], (3598 ^ _574123) ^ [] : [_703527 = _703529]], -(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _703527), insert_pname(_703529, _703525))))], (3602 ^ _574123) ^ [_703859, _703861, _703863] : [3603 ^ _574123 : [(3604 ^ _574123) ^ [] : [hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _703861), _703859))], (3606 ^ _574123) ^ [] : [_703861 = _703863]], -(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _703861), insert_a(_703863, _703859))))], (3610 ^ _574123) ^ [_704193, _704195, _704197] : [hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _704197), insert_nat(_704195, _704193))), -(_704197 = _704195), -(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _704197), _704193)))], (3620 ^ _574123) ^ [_704545, _704547, _704549] : [is_pname(_704549), is_pname(_704547), hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _704549), insert_pname(_704547, _704545))), -(_704549 = _704547), -(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _704549), _704545)))], (3638 ^ _574123) ^ [_705081, _705083, _705085] : [is_a(_705085), is_a(_705083), hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _705085), insert_a(_705083, _705081))), -(_705085 = _705083), -(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _705085), _705081)))], (3656 ^ _574123) ^ [_705588, _705590] : [-(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _705590), insert_nat(_705590, _705588))))], (3658 ^ _574123) ^ [_705690, _705692] : [-(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _705692), insert_pname(_705692, _705690))))], (3660 ^ _574123) ^ [_705792, _705794] : [-(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _705794), insert_a(_705794, _705792))))], (3662 ^ _574123) ^ [_705894, _705896] : [-(insert_nat(_705896, _705894) = collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj, hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat), _705896)), hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat), _705894))))], (3664 ^ _574123) ^ [_706005, _706007] : [-(insert_pname(_706007, _706005) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj, hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname), _706007)), hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname), _706005))))], (3666 ^ _574123) ^ [_706116, _706118] : [-(insert_a(_706118, _706116) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj, hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a), _706118)), hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a), _706116))))], (3668 ^ _574123) ^ [_706227, _706229] : [-(insert_fun_nat_bool(_706229, _706227) = collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj, hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool), _706229)), hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool), _706227))))], (3670 ^ _574123) ^ [_706338, _706340] : [-(insert1325755072e_bool(_706340, _706338) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj, hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool), _706340)), hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool), _706338))))], (3672 ^ _574123) ^ [_706449, _706451] : [-(insert_fun_a_bool(_706451, _706449) = collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj, hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool), _706451)), hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool), _706449))))], (3674 ^ _574123) ^ [_706560, _706562] : [-(insert_nat(_706562, collect_nat(_706560)) = collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies, cOMBB_bool_bool_nat(fNot, hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat), _706562))), _706560)))], (3676 ^ _574123) ^ [_706673, _706675] : [-(insert_pname(_706675, collect_pname(_706673)) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies, cOMBB_647938656_pname(fNot, hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname), _706675))), _706673)))], (3678 ^ _574123) ^ [_706786, _706788] : [-(insert_a(_706788, collect_a(_706786)) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies, cOMBB_bool_bool_a(fNot, hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a), _706788))), _706786)))], (3680 ^ _574123) ^ [_706899, _706901] : [-(insert_fun_nat_bool(_706901, collect_fun_nat_bool(_706899)) = collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies, cOMBB_238756964t_bool(fNot, hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool), _706901))), _706899)))], (3682 ^ _574123) ^ [_707012, _707014] : [-(insert1325755072e_bool(_707014, collec1974731493e_bool(_707012)) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fimplies, cOMBB_307249310e_bool(fNot, hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool), _707014))), _707012)))], (3684 ^ _574123) ^ [_707125, _707127] : [-(insert_fun_a_bool(_707127, collect_fun_a_bool(_707125)) = collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fimplies, cOMBB_2140588453a_bool(fNot, hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool), _707127))), _707125)))], (3686 ^ _574123) ^ [_707238, _707240] : [-(insert_nat(_707240, insert_nat(_707240, _707238)) = insert_nat(_707240, _707238))], (3688 ^ _574123) ^ [_707341, _707343] : [-(insert_pname(_707343, insert_pname(_707343, _707341)) = insert_pname(_707343, _707341))], (3690 ^ _574123) ^ [_707444, _707446] : [-(insert_a(_707446, insert_a(_707446, _707444)) = insert_a(_707446, _707444))], (3692 ^ _574123) ^ [_707561, _707563, _707565] : [-(insert_nat(_707565, insert_nat(_707563, _707561)) = insert_nat(_707563, insert_nat(_707565, _707561)))], (3694 ^ _574123) ^ [_707683, _707685, _707687] : [-(insert_pname(_707687, insert_pname(_707685, _707683)) = insert_pname(_707685, insert_pname(_707687, _707683)))], (3696 ^ _574123) ^ [_707805, _707807, _707809] : [-(insert_a(_707809, insert_a(_707807, _707805)) = insert_a(_707807, insert_a(_707809, _707805)))], (3708 ^ _574123) ^ [_708259, _708261, _708263] : [3709 ^ _574123 : [(3710 ^ _574123) ^ [] : [_708263 = _708261], (3712 ^ _574123) ^ [] : [hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _708263), _708259))]], -(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _708263), insert_nat(_708261, _708259))))], (3698 ^ _574123) ^ [_707971, _707973, _707975] : [hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _707975), insert_nat(_707973, _707971))), -(_707975 = _707973), -(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _707975), _707971)))], (3716 ^ _574123) ^ [_708593, _708595, _708597] : [is_pname(_708597), is_pname(_708595), 3723 ^ _574123 : [(3734 ^ _574123) ^ [] : [3735 ^ _574123 : [(3736 ^ _574123) ^ [] : [_708597 = _708595], (3738 ^ _574123) ^ [] : [hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _708597), _708593))]], -(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _708597), insert_pname(_708595, _708593))))], (3724 ^ _574123) ^ [] : [hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _708597), insert_pname(_708595, _708593))), -(_708597 = _708595), -(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _708597), _708593)))]]], (3742 ^ _574123) ^ [_709377, _709379, _709381] : [is_a(_709381), is_a(_709379), 3749 ^ _574123 : [(3760 ^ _574123) ^ [] : [3761 ^ _574123 : [(3762 ^ _574123) ^ [] : [_709381 = _709379], (3764 ^ _574123) ^ [] : [hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _709381), _709377))]], -(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _709381), insert_a(_709379, _709377))))], (3750 ^ _574123) ^ [] : [hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _709381), insert_a(_709379, _709377))), -(_709381 = _709379), -(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _709381), _709377)))]]], (3778 ^ _574123) ^ [_710466, _710468, _710470] : [3779 ^ _574123 : [(3780 ^ _574123) ^ [] : [_710470 = _710466], (3782 ^ _574123) ^ [] : [hBOOL(hAPP_nat_bool(_710468, _710466))]], -(hBOOL(hAPP_nat_bool(insert_nat(_710470, _710468), _710466)))], (3768 ^ _574123) ^ [_710190, _710192, _710194] : [hBOOL(hAPP_nat_bool(insert_nat(_710194, _710192), _710190)), -(_710194 = _710190), -(hBOOL(hAPP_nat_bool(_710192, _710190)))], (3786 ^ _574123) ^ [_710788, _710790, _710792] : [is_pname(_710792), is_pname(_710788), 3793 ^ _574123 : [(3804 ^ _574123) ^ [] : [3805 ^ _574123 : [(3806 ^ _574123) ^ [] : [_710792 = _710788], (3808 ^ _574123) ^ [] : [hBOOL(hAPP_pname_bool(_710790, _710788))]], -(hBOOL(hAPP_pname_bool(insert_pname(_710792, _710790), _710788)))], (3794 ^ _574123) ^ [] : [hBOOL(hAPP_pname_bool(insert_pname(_710792, _710790), _710788)), -(_710792 = _710788), -(hBOOL(hAPP_pname_bool(_710790, _710788)))]]], (3812 ^ _574123) ^ [_711554, _711556, _711558] : [is_a(_711558), is_a(_711554), 3819 ^ _574123 : [(3830 ^ _574123) ^ [] : [3831 ^ _574123 : [(3832 ^ _574123) ^ [] : [_711558 = _711554], (3834 ^ _574123) ^ [] : [hBOOL(hAPP_a_bool(_711556, _711554))]], -(hBOOL(hAPP_a_bool(insert_a(_711558, _711556), _711554)))], (3820 ^ _574123) ^ [] : [hBOOL(hAPP_a_bool(insert_a(_711558, _711556), _711554)), -(_711558 = _711554), -(hBOOL(hAPP_a_bool(_711556, _711554)))]]], (3838 ^ _574123) ^ [_712320, _712322, _712324] : [-(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _712322), _712320))), -(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _712322), _712324))), 3845 ^ _574123 : [(3846 ^ _574123) ^ [] : [insert_nat(_712322, _712320) = insert_nat(_712322, _712324), -(_712320 = _712324)], (3852 ^ _574123) ^ [] : [_712320 = _712324, -(insert_nat(_712322, _712320) = insert_nat(_712322, _712324))]]], (3858 ^ _574123) ^ [_712947, _712949, _712951] : [is_fun_pname_bool(_712951), is_fun_pname_bool(_712947), -(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _712949), _712947))), -(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _712949), _712951))), 3873 ^ _574123 : [(3874 ^ _574123) ^ [] : [insert_pname(_712949, _712947) = insert_pname(_712949, _712951), -(_712947 = _712951)], (3880 ^ _574123) ^ [] : [_712947 = _712951, -(insert_pname(_712949, _712947) = insert_pname(_712949, _712951))]]], (3886 ^ _574123) ^ [_713758, _713760, _713762] : [is_fun_a_bool(_713762), is_fun_a_bool(_713758), -(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _713760), _713758))), -(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _713760), _713762))), 3901 ^ _574123 : [(3902 ^ _574123) ^ [] : [insert_a(_713760, _713758) = insert_a(_713760, _713762), -(_713758 = _713762)], (3908 ^ _574123) ^ [] : [_713758 = _713762, -(insert_a(_713760, _713758) = insert_a(_713760, _713762))]]], (3914 ^ _574123) ^ [_714569, _714571, _714573] : [hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _714571), _714569)), -(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _714571), insert_nat(_714573, _714569))))], (3920 ^ _574123) ^ [_714825, _714827, _714829] : [hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _714827), _714825)), -(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _714827), insert_pname(_714829, _714825))))], (3926 ^ _574123) ^ [_715081, _715083, _715085] : [hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _715083), _715081)), -(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _715083), insert_a(_715085, _715081))))], (3932 ^ _574123) ^ [_715323, _715325] : [hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _715325), _715323)), -(insert_nat(_715325, _715323) = _715323)], (3938 ^ _574123) ^ [_715549, _715551] : [is_fun_pname_bool(_715549), hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _715551), _715549)), -(insert_pname(_715551, _715549) = _715549)], (3948 ^ _574123) ^ [_715862, _715864] : [is_fun_a_bool(_715862), hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _715864), _715862)), -(insert_a(_715864, _715862) = _715862)], (3958 ^ _574123) ^ [_716146] : [-(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _716146), _716146)))], (3960 ^ _574123) ^ [_716229] : [-(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _716229), _716229)))], (3962 ^ _574123) ^ [_716312] : [-(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _716312), _716312)))], (3964 ^ _574123) ^ [_716453, _716455] : [_716455 = _716453, 3967 ^ _574123 : [(3968 ^ _574123) ^ [] : [-(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _716455), _716453)))], (3970 ^ _574123) ^ [] : [-(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _716453), _716455)))]]], (3972 ^ _574123) ^ [_716710, _716712] : [-(_716712 = _716710), hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _716712), _716710)), hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _716710), _716712))], (3982 ^ _574123) ^ [_717031, _717033] : [is_fun_pname_bool(_717033), is_fun_pname_bool(_717031), 3989 ^ _574123 : [(3990 ^ _574123) ^ [] : [_717033 = _717031, 3993 ^ _574123 : [(3994 ^ _574123) ^ [] : [-(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _717033), _717031)))], (3996 ^ _574123) ^ [] : [-(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _717031), _717033)))]]], (3998 ^ _574123) ^ [] : [-(_717033 = _717031), hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _717033), _717031)), hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _717031), _717033))]]], (4008 ^ _574123) ^ [_717766, _717768] : [is_fun_a_bool(_717768), is_fun_a_bool(_717766), 4015 ^ _574123 : [(4016 ^ _574123) ^ [] : [_717768 = _717766, 4019 ^ _574123 : [(4020 ^ _574123) ^ [] : [-(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _717768), _717766)))], (4022 ^ _574123) ^ [] : [-(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _717766), _717768)))]]], (4024 ^ _574123) ^ [] : [-(_717768 = _717766), hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _717768), _717766)), hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _717766), _717768))]]], (4034 ^ _574123) ^ [_718501, _718503] : [_718503 = _718501, -(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _718503), _718501)))], (4040 ^ _574123) ^ [_718721, _718723] : [_718723 = _718721, -(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _718723), _718721)))], (4046 ^ _574123) ^ [_718941, _718943] : [_718943 = _718941, -(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _718943), _718941)))], (4052 ^ _574123) ^ [_719161, _719163] : [_719163 = _719161, -(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _719161), _719163)))], (4058 ^ _574123) ^ [_719381, _719383] : [_719383 = _719381, -(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _719381), _719383)))], (4064 ^ _574123) ^ [_719601, _719603] : [_719603 = _719601, -(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _719601), _719603)))], (4070 ^ _574123) ^ [_719835, _719837, _719839] : [hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _719837), _719835)), hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _719839), _719837)), -(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _719839), _719835)))], (4080 ^ _574123) ^ [_720188, _720190, _720192] : [hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _720190), _720188)), hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _720192), _720190)), -(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _720192), _720188)))], (4090 ^ _574123) ^ [_720541, _720543, _720545] : [hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _720543), _720541)), hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _720545), _720543)), -(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _720545), _720541)))], (4100 ^ _574123) ^ [_720894, _720896, _720898] : [hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _720896), _720894)), hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _720894), _720898)), -(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _720896), _720898)))], (4110 ^ _574123) ^ [_721247, _721249, _721251] : [hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _721249), _721247)), hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _721247), _721251)), -(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _721249), _721251)))], (4120 ^ _574123) ^ [_721600, _721602, _721604] : [hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _721602), _721600)), hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _721600), _721604)), -(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _721602), _721604)))], (4130 ^ _574123) ^ [_721953, _721955, _721957] : [hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _721955), _721953)), hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _721957), _721955)), -(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _721957), _721953)))], (4140 ^ _574123) ^ [_722306, _722308, _722310] : [hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _722308), _722306)), hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _722310), _722308)), -(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _722310), _722306)))], (4150 ^ _574123) ^ [_722659, _722661, _722663] : [hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _722661), _722659)), hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _722663), _722661)), -(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _722663), _722659)))], (4160 ^ _574123) ^ [_723012, _723014, _723016] : [hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _723014), _723012)), hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _723012), _723016)), -(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _723014), _723016)))], (4170 ^ _574123) ^ [_723365, _723367, _723369] : [hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _723367), _723365)), hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _723365), _723369)), -(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _723367), _723369)))], (4180 ^ _574123) ^ [_723718, _723720, _723722] : [hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _723720), _723718)), hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _723718), _723722)), -(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _723720), _723722)))], (4190 ^ _574123) ^ [_724057, _724059] : [_724059 = _724057, 4193 ^ _574123 : [(4194 ^ _574123) ^ [] : [-(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _724059), _724057)))], (4196 ^ _574123) ^ [] : [-(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _724057), _724059)))]]], (4198 ^ _574123) ^ [_724366, _724368] : [_724368 = _724366, 4201 ^ _574123 : [(4202 ^ _574123) ^ [] : [-(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _724368), _724366)))], (4204 ^ _574123) ^ [] : [-(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _724366), _724368)))]]], (4206 ^ _574123) ^ [_724675, _724677] : [_724677 = _724675, 4209 ^ _574123 : [(4210 ^ _574123) ^ [] : [-(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _724677), _724675)))], (4212 ^ _574123) ^ [] : [-(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _724675), _724677)))]]], (4214 ^ _574123) ^ [_725013, _725015] : [hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _725015), _725013)), -(hBOOL(hAPP_nat_bool(_725013, _725015)))], (4220 ^ _574123) ^ [_725189, _725191] : [hBOOL(hAPP_nat_bool(_725189, _725191)), -(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _725191), _725189)))], (4226 ^ _574123) ^ [_725444, _725446] : [hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _725446), _725444)), -(hBOOL(hAPP_a_bool(_725444, _725446)))], (4232 ^ _574123) ^ [_725620, _725622] : [hBOOL(hAPP_a_bool(_725620, _725622)), -(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _725622), _725620)))], (4238 ^ _574123) ^ [_725875, _725877] : [hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _725877), _725875)), -(hBOOL(hAPP_pname_bool(_725875, _725877)))], (4244 ^ _574123) ^ [_726051, _726053] : [hBOOL(hAPP_pname_bool(_726051, _726053)), -(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _726053), _726051)))], (4250 ^ _574123) ^ [_726263] : [is_fun_pname_bool(_726263), -(collect_pname(_726263) = _726263)], (4256 ^ _574123) ^ [_726440] : [-(collect_fun_nat_bool(_726440) = _726440)], (4258 ^ _574123) ^ [_726535] : [is_fun1661590463l_bool(_726535), -(collec1974731493e_bool(_726535) = _726535)], (4264 ^ _574123) ^ [_726727] : [is_fun949378684l_bool(_726727), -(collect_fun_a_bool(_726727) = _726727)], (4270 ^ _574123) ^ [_726904] : [-(collect_nat(_726904) = _726904)], (4272 ^ _574123) ^ [_727027, _727029, _727031] : [is_a(_727031), 4275 ^ _574123 : [(4276 ^ _574123) ^ [] : [hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _727031), image_pname_a(_727029, _727027))), 4280 ^ _574123 : [(4281 ^ _574123) ^ [] : [-(is_pname(4279 ^ [_727027, _727029, _727031]))], (4283 ^ _574123) ^ [] : [-(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, 4279 ^ [_727027, _727029, _727031]), _727027)))], (4285 ^ _574123) ^ [] : [-(_727031 = hAPP_pname_a(_727029, 4279 ^ [_727027, _727029, _727031]))]]], (4287 ^ _574123) ^ [] : [-(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _727031), image_pname_a(_727029, _727027)))), 4288 ^ _574123 : [(4289 ^ _574123) ^ [_727644] : [is_pname(_727644), hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _727644), _727027)), _727031 = hAPP_pname_a(_727029, _727644)]]]]], (4301 ^ _574123) ^ [_728064, _728066, _728068] : [hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _728066), _728064)), -(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, hAPP_pname_a(_728068, _728066)), image_pname_a(_728068, _728064))))], (4307 ^ _574123) ^ [_728340, _728342, _728344, _728346] : [hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _728342), _728340)), _728346 = hAPP_pname_a(_728344, _728342), -(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _728346), image_pname_a(_728344, _728340))))], (4317 ^ _574123) ^ [_728676, _728678] : [-(insert_nat(_728678, _728676) = collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj, hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat), _728678)), hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat), _728676))))], (4319 ^ _574123) ^ [_728787, _728789] : [-(insert_pname(_728789, _728787) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj, hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname), _728789)), hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname), _728787))))], (4321 ^ _574123) ^ [_728898, _728900] : [-(insert_a(_728900, _728898) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj, hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a), _728900)), hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a), _728898))))], (4323 ^ _574123) ^ [_729009, _729011] : [-(insert_fun_nat_bool(_729011, _729009) = collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj, hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool), _729011)), hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool), _729009))))], (4325 ^ _574123) ^ [_729120, _729122] : [-(insert1325755072e_bool(_729122, _729120) = collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj, hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool), _729122)), hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool), _729120))))], (4327 ^ _574123) ^ [_729231, _729233] : [-(insert_fun_a_bool(_729233, _729231) = collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj, hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool), _729233)), hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool), _729231))))], (4329 ^ _574123) ^ [_729342, _729344] : [-(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _729344), insert_nat(_729342, _729344))))], (4331 ^ _574123) ^ [_729444, _729446] : [-(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _729446), insert_pname(_729444, _729446))))], (4333 ^ _574123) ^ [_729546, _729548] : [-(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _729548), insert_a(_729546, _729548))))], (4335 ^ _574123) ^ [_729706, _729708, _729710] : [hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, insert_nat(_729710, _729708)), _729706)), 4338 ^ _574123 : [(4339 ^ _574123) ^ [] : [-(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _729710), _729706)))], (4341 ^ _574123) ^ [] : [-(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _729708), _729706)))]]], (4343 ^ _574123) ^ [_729987, _729989, _729991] : [-(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, insert_nat(_729991, _729989)), _729987))), hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _729991), _729987)), hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _729989), _729987))], (4353 ^ _574123) ^ [_730377, _730379, _730381] : [hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, insert_pname(_730381, _730379)), _730377)), 4356 ^ _574123 : [(4357 ^ _574123) ^ [] : [-(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _730381), _730377)))], (4359 ^ _574123) ^ [] : [-(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _730379), _730377)))]]], (4361 ^ _574123) ^ [_730658, _730660, _730662] : [-(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, insert_pname(_730662, _730660)), _730658))), hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _730662), _730658)), hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _730660), _730658))], (4371 ^ _574123) ^ [_731048, _731050, _731052] : [hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, insert_a(_731052, _731050)), _731048)), 4374 ^ _574123 : [(4375 ^ _574123) ^ [] : [-(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _731052), _731048)))], (4377 ^ _574123) ^ [] : [-(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _731050), _731048)))]]], (4379 ^ _574123) ^ [_731329, _731331, _731333] : [-(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, insert_a(_731333, _731331)), _731329))), hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _731333), _731329)), hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _731331), _731329))], (4389 ^ _574123) ^ [_731690, _731692, _731694] : [-(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _731692), _731690))), 4392 ^ _574123 : [(4393 ^ _574123) ^ [] : [hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _731690), insert_nat(_731692, _731694))), -(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _731690), _731694)))], (4399 ^ _574123) ^ [] : [hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _731690), _731694)), -(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _731690), insert_nat(_731692, _731694))))]]], (4405 ^ _574123) ^ [_732232, _732234, _732236] : [-(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _732234), _732232))), 4408 ^ _574123 : [(4409 ^ _574123) ^ [] : [hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _732232), insert_pname(_732234, _732236))), -(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _732232), _732236)))], (4415 ^ _574123) ^ [] : [hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _732232), _732236)), -(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _732232), insert_pname(_732234, _732236))))]]], (4421 ^ _574123) ^ [_732774, _732776, _732778] : [-(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _732776), _732774))), 4424 ^ _574123 : [(4425 ^ _574123) ^ [] : [hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _732774), insert_a(_732776, _732778))), -(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _732774), _732778)))], (4431 ^ _574123) ^ [] : [hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _732774), _732778)), -(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _732774), insert_a(_732776, _732778))))]]], (4437 ^ _574123) ^ [_733316, _733318, _733320] : [hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _733318), _733316)), -(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _733318), insert_nat(_733320, _733316))))], (4443 ^ _574123) ^ [_733572, _733574, _733576] : [hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _733574), _733572)), -(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _733574), insert_pname(_733576, _733572))))], (4449 ^ _574123) ^ [_733828, _733830, _733832] : [hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _733830), _733828)), -(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _733830), insert_a(_733832, _733828))))], (4455 ^ _574123) ^ [_734084, _734086, _734088] : [hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _734086), _734084)), -(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, insert_nat(_734088, _734086)), insert_nat(_734088, _734084))))], (4461 ^ _574123) ^ [_734346, _734348, _734350] : [hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _734348), _734346)), -(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, insert_pname(_734350, _734348)), insert_pname(_734350, _734346))))], (4467 ^ _574123) ^ [_734608, _734610, _734612] : [hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _734610), _734608)), -(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, insert_a(_734612, _734610)), insert_a(_734612, _734608))))], (4473 ^ _574123) ^ [_734855, _734857, _734859] : [-(image_pname_a(_734859, insert_pname(_734857, _734855)) = insert_a(hAPP_pname_a(_734859, _734857), image_pname_a(_734859, _734855)))], (4475 ^ _574123) ^ [_734995, _734997, _734999] : [hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, _734997), _734995)), -(insert_a(hAPP_pname_a(_734999, _734997), image_pname_a(_734999, _734995)) = image_pname_a(_734999, _734995))], (4481 ^ _574123) ^ [_735259, _735261, _735263] : [is_fun_a_bool(_735263), 4484 ^ _574123 : [(4485 ^ _574123) ^ [] : [hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _735263), image_pname_a(_735261, _735259))), 4489 ^ _574123 : [(4490 ^ _574123) ^ [] : [-(is_fun_pname_bool(4488 ^ [_735259, _735261, _735263]))], (4492 ^ _574123) ^ [] : [-(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, 4488 ^ [_735259, _735261, _735263]), _735259)))], (4494 ^ _574123) ^ [] : [-(_735263 = image_pname_a(_735261, 4488 ^ [_735259, _735261, _735263]))]]], (4496 ^ _574123) ^ [] : [-(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _735263), image_pname_a(_735261, _735259)))), 4497 ^ _574123 : [(4498 ^ _574123) ^ [_735876] : [is_fun_pname_bool(_735876), hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _735876), _735259)), _735263 = image_pname_a(_735261, _735876)]]]]], (4510 ^ _574123) ^ [_736296, _736298, _736300] : [hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _736298), _736296)), -(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, image_pname_a(_736300, _736298)), image_pname_a(_736300, _736296))))], (4516 ^ _574123) ^ [_736558, _736560, _736562] : [is_a(_736562), hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, _736562), image_pname_a(_736560, _736558))), 4524 ^ _574123 : [(4525 ^ _574123) ^ [] : [-(is_pname(4523 ^ [_736558, _736560, _736562]))], (4527 ^ _574123) ^ [] : [-(_736562 = hAPP_pname_a(_736560, 4523 ^ [_736558, _736560, _736562]))], (4529 ^ _574123) ^ [] : [-(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, 4523 ^ [_736558, _736560, _736562]), _736558)))]]], (4531 ^ _574123) ^ [_737154, _737156] : [4533 ^ _574123 : [(4534 ^ _574123) ^ [] : [-(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, 4532 ^ [_737154, _737156]), _737154)))], (4536 ^ _574123) ^ [] : [hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, 4532 ^ [_737154, _737156]), _737156))]], -(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _737154), _737156)))], (4540 ^ _574123) ^ [_737549, _737551] : [4542 ^ _574123 : [(4543 ^ _574123) ^ [] : [-(is_a(4541 ^ [_737549, _737551]))], (4545 ^ _574123) ^ [] : [-(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, 4541 ^ [_737549, _737551]), _737549)))], (4547 ^ _574123) ^ [] : [hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, 4541 ^ [_737549, _737551]), _737551))]], -(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _737549), _737551)))], (4551 ^ _574123) ^ [_738028, _738030] : [4553 ^ _574123 : [(4554 ^ _574123) ^ [] : [-(is_pname(4552 ^ [_738028, _738030]))], (4556 ^ _574123) ^ [] : [-(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, 4552 ^ [_738028, _738030]), _738028)))], (4558 ^ _574123) ^ [] : [hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, 4552 ^ [_738028, _738030]), _738030))]], -(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _738028), _738030)))], (4562 ^ _574123) ^ [_738521, _738523, _738525] : [hBOOL(hAPP_nat_bool(_738523, _738521)), 4568 ^ _574123 : [(4569 ^ _574123) ^ [] : [-(hBOOL(hAPP_nat_bool(_738523, hAPP_nat_nat(suc, 4567 ^ [_738521, _738523, _738525]))))], (4571 ^ _574123) ^ [] : [hBOOL(hAPP_nat_bool(_738523, 4567 ^ [_738521, _738523, _738525]))]], -(hBOOL(hAPP_nat_bool(_738523, hAPP_nat_nat(minus_minus_nat(_738521), _738525))))], (4575 ^ _574123) ^ [_739024, _739026] : [hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(suc, _739026)), _739024)), -(_739024 = hAPP_nat_nat(suc, 4578 ^ [_739024, _739026]))], (4582 ^ _574123) ^ [_739330, _739332, _739334] : [4584 ^ _574123 : [(4585 ^ _574123) ^ [] : [-(is_pname(4583 ^ [_739330, _739332, _739334]))], (4587 ^ _574123) ^ [] : [-(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, 4583 ^ [_739330, _739332, _739334]), _739330)))], (4589 ^ _574123) ^ [] : [hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, hAPP_pname_a(_739334, 4583 ^ [_739330, _739332, _739334])), _739332))]], -(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, image_pname_a(_739334, _739330)), _739332)))], (4593 ^ _574123) ^ [_739815] : [-(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool, _739815), _739815)))], (4595 ^ _574123) ^ [_739898] : [-(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool, _739898), _739898)))], (4597 ^ _574123) ^ [_739981] : [-(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _739981), _739981)))], (4599 ^ _574123) ^ [_740064] : [-(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, _740064), _740064)))], (4612 ^ _574123) ^ [_740604] : [4614 ^ _574123 : [(4615 ^ _574123) ^ [_740775] : [-(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, 4613 ^ [_740604, _740775]), _740604)))], (4617 ^ _574123) ^ [_740832] : [hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, 4613 ^ [_740604, _740832]), _740832))]], -(hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _740604)))], (4601 ^ _574123) ^ [_740191] : [hBOOL(hAPP_f54304608l_bool(finite_finite_nat, _740191)), 4605 ^ _574123 : [(4606 ^ _574123) ^ [_740405] : [hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat, _740405), _740191)), -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, _740405), 4604 ^ [_740191])))]]], (4621 ^ _574123) ^ [_740994] : [hBOOL(hAPP_bool_bool(fNot, _740994)), hBOOL(_740994)], (4627 ^ _574123) ^ [_741189] : [-(hBOOL(_741189)), -(hBOOL(hAPP_bool_bool(fNot, _741189)))], (4633 ^ _574123) ^ [_741396, _741398] : [hBOOL(_741396), hBOOL(_741398), -(hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj, _741396), _741398)))], (4643 ^ _574123) ^ [_741705, _741707] : [hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj, _741707), _741705)), -(hBOOL(_741707))], (4649 ^ _574123) ^ [_741925, _741927] : [hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj, _741927), _741925)), -(hBOOL(_741925))], (4655 ^ _574123) ^ [_742145, _742147] : [hBOOL(_742145), -(hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj, _742145), _742147)))], (4661 ^ _574123) ^ [_742365, _742367] : [hBOOL(_742365), -(hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj, _742367), _742365)))], (4667 ^ _574123) ^ [_742585, _742587] : [hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj, _742587), _742585)), -(hBOOL(_742587)), -(hBOOL(_742585))], (4677 ^ _574123) ^ [_742893, _742895] : [-(hBOOL(_742893)), -(hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies, _742893), _742895)))], (4683 ^ _574123) ^ [_743112, _743114] : [hBOOL(_743112), -(hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies, _743114), _743112)))], (4689 ^ _574123) ^ [_743332, _743334] : [hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies, _743334), _743332)), hBOOL(_743334), -(hBOOL(_743332))], (4699 ^ _574123) ^ [_743641, _743643] : [is_a(_743643), is_a(_743641), hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a, _743643), _743641)), -(_743643 = _743641)], (4713 ^ _574123) ^ [_744039, _744041] : [_744041 = _744039, -(hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a, _744041), _744039)))], (4719 ^ _574123) ^ [_744261, _744263] : [hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat, _744263), _744261)), -(_744263 = _744261)], (4725 ^ _574123) ^ [_744483, _744485] : [_744485 = _744483, -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat, _744485), _744483)))], (4731 ^ _574123) ^ [_744705, _744707] : [is_pname(_744707), is_pname(_744705), hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname, _744707), _744705)), -(_744707 = _744705)], (4745 ^ _574123) ^ [_745103, _745105] : [_745105 = _745103, -(hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname, _745105), _745103)))], (4751 ^ _574123) ^ [_745324, _745326, _745328] : [-(hAPP_a_bool(hAPP_a_fun_a_bool(cOMBC_a_a_bool(_745328), _745326), _745324) = hAPP_a_bool(hAPP_a_fun_a_bool(_745328, _745324), _745326))], (4753 ^ _574123) ^ [_745449, _745451] : [is_fun_a_bool(_745451), is_fun_a_bool(_745449), hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool, _745451), _745449)), -(_745451 = _745449)], (4767 ^ _574123) ^ [_745847, _745849] : [_745849 = _745847, -(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool, _745849), _745847)))], (4773 ^ _574123) ^ [_746068, _746070, _746072] : [-(hAPP_a_bool(cOMBB_bool_bool_a(_746072, _746070), _746068) = hAPP_bool_bool(_746072, hAPP_a_bool(_746070, _746068)))], (4775 ^ _574123) ^ [_746190, _746192, _746194] : [-(hAPP_a_bool(cOMBS_a_bool_bool(_746194, _746192), _746190) = hAPP_bool_bool(hAPP_a_fun_bool_bool(_746194, _746190), hAPP_a_bool(_746192, _746190)))], (4777 ^ _574123) ^ [_746315, _746317, _746319] : [-(hAPP_pname_bool(hAPP_a93125764e_bool(cOMBC_pname_a_bool(_746319), _746317), _746315) = hAPP_a_bool(hAPP_p1534023578a_bool(_746319, _746315), _746317))], (4779 ^ _574123) ^ [_746440, _746442] : [hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(fequal_fun_nat_bool, _746442), _746440)), -(_746442 = _746440)], (4785 ^ _574123) ^ [_746662, _746664] : [_746664 = _746662, -(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(fequal_fun_nat_bool, _746664), _746662)))], (4811 ^ _574123) ^ [_747503, _747505, _747507] : [-(hAPP_nat_bool(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(_747507), _747505), _747503) = hAPP_nat_bool(hAPP_n1699378549t_bool(_747507, _747503), _747505))], (4813 ^ _574123) ^ [_747627, _747629, _747631] : [-(hAPP_nat_bool(cOMBB_bool_bool_nat(_747631, _747629), _747627) = hAPP_bool_bool(_747631, hAPP_nat_bool(_747629, _747627)))], (4815 ^ _574123) ^ [_747749, _747751, _747753] : [-(hAPP_nat_bool(cOMBS_nat_bool_bool(_747753, _747751), _747749) = hAPP_bool_bool(hAPP_n1006566506l_bool(_747753, _747749), hAPP_nat_bool(_747751, _747749)))], (4817 ^ _574123) ^ [_747874, _747876, _747878] : [-(hAPP_pname_bool(cOMBB_647938656_pname(_747878, _747876), _747874) = hAPP_bool_bool(_747878, hAPP_pname_bool(_747876, _747874)))], (4819 ^ _574123) ^ [_747996, _747998, _748000] : [-(hAPP_pname_bool(cOMBS_568398431l_bool(_748000, _747998), _747996) = hAPP_bool_bool(hAPP_p393069232l_bool(_748000, _747996), hAPP_pname_bool(_747998, _747996)))], (4821 ^ _574123) ^ [_748121, _748123, _748125] : [-(hAPP_pname_bool(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(_748125), _748123), _748121) = hAPP_pname_bool(hAPP_p61793385e_bool(_748125, _748121), _748123))], (4823 ^ _574123) ^ [_748245, _748247, _748249] : [-(hAPP_a_bool(hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(_748249), _748247), _748245) = hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(_748249, _748245), _748247))], (4825 ^ _574123) ^ [_748369, _748371, _748373] : [-(hAPP_p1534023578a_bool(cOMBB_1897541054_pname(_748373, _748371), _748369) = hAPP_a_fun_a_bool(_748373, hAPP_pname_a(_748371, _748369)))], (4827 ^ _574123) ^ [_748491, _748493, _748495] : [-(hAPP_fun_a_bool_bool(cOMBB_2140588453a_bool(_748495, _748493), _748491) = hAPP_bool_bool(_748495, hAPP_fun_a_bool_bool(_748493, _748491)))], (4829 ^ _574123) ^ [_748613, _748615, _748617] : [-(hAPP_a_fun_bool_bool(cOMBB_1972296269bool_a(_748617, _748615), _748613) = hAPP_b589554111l_bool(_748617, hAPP_a_bool(_748615, _748613)))], (4831 ^ _574123) ^ [_748735, _748737, _748739] : [-(hAPP_fun_a_bool_bool(cOMBS_1035972772l_bool(_748739, _748737), _748735) = hAPP_bool_bool(hAPP_f198738859l_bool(_748739, _748735), hAPP_fun_a_bool_bool(_748737, _748735)))], (4833 ^ _574123) ^ [_748860, _748862, _748864] : [-(hAPP_nat_bool(hAPP_f800510211t_bool(cOMBC_226598744l_bool(_748864), _748862), _748860) = hAPP_f54304608l_bool(hAPP_n215258509l_bool(_748864, _748860), _748862))], (4835 ^ _574123) ^ [_748984, _748986, _748988] : [-(hAPP_f54304608l_bool(cOMBB_238756964t_bool(_748988, _748986), _748984) = hAPP_bool_bool(_748988, hAPP_f54304608l_bool(_748986, _748984)))], (4837 ^ _574123) ^ [_749106, _749108, _749110] : [-(hAPP_n1006566506l_bool(cOMBB_1015721476ol_nat(_749110, _749108), _749106) = hAPP_b589554111l_bool(_749110, hAPP_nat_bool(_749108, _749106)))], (4839 ^ _574123) ^ [_749228, _749230, _749232] : [-(hAPP_f54304608l_bool(cOMBS_1187019125l_bool(_749232, _749230), _749228) = hAPP_bool_bool(hAPP_f1748468828l_bool(_749232, _749228), hAPP_f54304608l_bool(_749230, _749228)))], (4841 ^ _574123) ^ [_749353, _749355, _749357] : [-(hAPP_f1664156314l_bool(cOMBB_307249310e_bool(_749357, _749355), _749353) = hAPP_bool_bool(_749357, hAPP_f1664156314l_bool(_749355, _749353)))], (4843 ^ _574123) ^ [_749475, _749477, _749479] : [-(hAPP_p393069232l_bool(cOMBB_675860798_pname(_749479, _749477), _749475) = hAPP_b589554111l_bool(_749479, hAPP_pname_bool(_749477, _749475)))], (4845 ^ _574123) ^ [_749597, _749599, _749601] : [-(hAPP_f1664156314l_bool(cOMBS_350070575l_bool(_749601, _749599), _749597) = hAPP_bool_bool(hAPP_f1476298914l_bool(_749601, _749597), hAPP_f1664156314l_bool(_749599, _749597)))], (4847 ^ _574123) ^ [_749722, _749724, _749726] : [-(hAPP_pname_bool(hAPP_f759274231e_bool(cOMBC_1058051404l_bool(_749726), _749724), _749722) = hAPP_f1664156314l_bool(hAPP_p338031245l_bool(_749726, _749722), _749724))], (4849 ^ _574123) ^ [_749846, _749848, _749850] : [-(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(_749850), _749848), _749846) = hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(_749850, _749846), _749848))], (4851 ^ _574123) ^ [_749970, _749972, _749974] : [-(hAPP_f198738859l_bool(cOMBB_338059395a_bool(_749974, _749972), _749970) = hAPP_b589554111l_bool(_749974, hAPP_fun_a_bool_bool(_749972, _749970)))], (4853 ^ _574123) ^ [_750092, _750094, _750096] : [-(hAPP_f54304608l_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(_750096), _750094), _750092) = hAPP_f54304608l_bool(hAPP_f103356543l_bool(_750096, _750092), _750094))], (4855 ^ _574123) ^ [_750216, _750218, _750220] : [-(hAPP_f1748468828l_bool(cOMBB_444170502t_bool(_750220, _750218), _750216) = hAPP_b589554111l_bool(_750220, hAPP_f54304608l_bool(_750218, _750216)))], (4857 ^ _574123) ^ [_750338, _750340, _750342] : [-(hAPP_f1476298914l_bool(cOMBB_2095475776e_bool(_750342, _750340), _750338) = hAPP_b589554111l_bool(_750342, hAPP_f1664156314l_bool(_750340, _750338)))], (4859 ^ _574123) ^ [_750460, _750462, _750464] : [-(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(_750464), _750462), _750460) = hAPP_f1664156314l_bool(hAPP_f434788991l_bool(_750464, _750460), _750462))], (4861 ^ _574123) ^ [_750584, _750586, _750588] : [-(hAPP_fun_a_bool_bool(hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(_750588), _750586), _750584) = hAPP_f621171935l_bool(hAPP_f285962445l_bool(_750588, _750584), _750586))], (4863 ^ _574123) ^ [_750708, _750710, _750712] : [-(hAPP_f54304608l_bool(hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(_750712), _750710), _750708) = hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(_750712, _750708), _750710))], (4865 ^ _574123) ^ [_750832, _750834, _750836] : [-(hAPP_f1664156314l_bool(hAPP_f559147733l_bool(cOMBC_1988546018l_bool(_750836), _750834), _750832) = hAPP_f1935102916l_bool(hAPP_f556039215l_bool(_750836, _750832), _750834))], (4867 ^ _574123) ^ [_750956, _750958, _750960] : [-(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(cOMBC_331553030l_bool(_750960), _750958), _750956) = hAPP_f621171935l_bool(hAPP_f1434722111l_bool(_750960, _750956), _750958))], (4869 ^ _574123) ^ [_751080, _751082, _751084] : [-(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(cOMBC_595898202l_bool(_751084), _751082), _751080) = hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(_751084, _751080), _751082))], (4871 ^ _574123) ^ [_751204, _751206, _751208] : [-(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(_751208), _751206), _751204) = hAPP_f1935102916l_bool(hAPP_f510955609l_bool(_751208, _751204), _751206))], (4873 ^ _574123) ^ [_751328, _751330, _751332] : [-(hAPP_f292226953l_bool(hAPP_f1050622307l_bool(cOMBC_636888218l_bool(_751332), _751330), _751328) = hAPP_f292226953l_bool(hAPP_f1050622307l_bool(_751332, _751328), _751330))], (4875 ^ _574123) ^ [_751452, _751454, _751456] : [-(hAPP_f937997336l_bool(hAPP_f760187903l_bool(cOMBC_1269652216l_bool(_751456), _751454), _751452) = hAPP_f937997336l_bool(hAPP_f760187903l_bool(_751456, _751452), _751454))], (4877 ^ _574123) ^ [_751576, _751578, _751580] : [-(hAPP_f389811538l_bool(hAPP_f1759205631l_bool(cOMBC_336095980l_bool(_751580), _751578), _751576) = hAPP_f389811538l_bool(hAPP_f1759205631l_bool(_751580, _751576), _751578))], (4879 ^ _574123) ^ [] : [-(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname, u)))], (4881 ^ _574123) ^ [] : [-(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, g), image_pname_a(mgt_call, u))))], (4883 ^ _574123) ^ [] : [-(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat, hAPP_nat_nat(suc, na)), hAPP_fun_a_bool_nat(finite_card_a, image_pname_a(mgt_call, u)))))], (4885 ^ _574123) ^ [] : [-(hAPP_fun_a_bool_nat(finite_card_a, g) = hAPP_nat_nat(minus_minus_nat(hAPP_fun_a_bool_nat(finite_card_a, image_pname_a(mgt_call, u))), hAPP_nat_nat(suc, na)))], (4887 ^ _574123) ^ [] : [-(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, pn), u)))], (4889 ^ _574123) ^ [] : [hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, hAPP_pname_a(mgt_call, pn)), g))], (4805 ^ _574123) ^ [_747282, _747284] : [_747284 = _747282, -(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool, _747284), _747282)))], (4791 ^ _574123) ^ [_746884, _746886] : [is_fun_pname_bool(_746886), is_fun_pname_bool(_746884), hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool, _746886), _746884)), -(_746886 = _746884)]], input).
% 0.48/1.38  ncf('1',plain,[hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, insert_a(hAPP_pname_a(mgt_call, pn), g)), image_pname_a(mgt_call, u)))],start(4891 ^ 0)).
% 0.48/1.38  ncf('1.1',plain,[-(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, insert_a(hAPP_pname_a(mgt_call, pn), g)), image_pname_a(mgt_call, u)))), hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, hAPP_pname_a(mgt_call, pn)), image_pname_a(mgt_call, u))), hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, g), image_pname_a(mgt_call, u)))],extension(4379 ^ 1,bind([[_731329, _731331, _731333], [image_pname_a(mgt_call, u), g, hAPP_pname_a(mgt_call, pn)]]))).
% 0.48/1.38  ncf('1.1.1',plain,[-(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a, hAPP_pname_a(mgt_call, pn)), image_pname_a(mgt_call, u)))), hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, pn), u))],extension(4301 ^ 2,bind([[_728064, _728066, _728068], [u, pn, mgt_call]]))).
% 0.48/1.38  ncf('1.1.1.1',plain,[-(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname, pn), u)))],extension(4887 ^ 3)).
% 0.48/1.38  ncf('1.1.2',plain,[-(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool, g), image_pname_a(mgt_call, u))))],extension(4881 ^ 2)).
% 0.48/1.38  %-----------------------------------------------------
% 0.48/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------