%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU361+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n020.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 12:03:17 EDT 2023

% Result   : Theorem 9.61s 9.69s
% Output   : Proof 9.61s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU361+2 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n020.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu May 18 13:38:47 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 9.61/9.69  
% 9.61/9.69  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 9.61/9.69  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.61/9.69  %-----------------------------------------------------
% 9.61/9.69  ncf(matrix, plain, [(15099 ^ _284635) ^ [] : [empty_carrier(15097 ^ [])], (15101 ^ _284635) ^ [] : [-(antisymmetric_relstr(15097 ^ []))], (15103 ^ _284635) ^ [] : [-(lower_bounded_relstr(15097 ^ []))], (15105 ^ _284635) ^ [] : [-(rel_str(15097 ^ []))], (15108 ^ _284635) ^ [] : [-(element(15106 ^ [], the_carrier(15097 ^ [])))], (15110 ^ _284635) ^ [] : [related(15097 ^ [], bottom_of_relstr(15097 ^ []), 15106 ^ [])], (1194 ^ _284635) ^ [_322695, _322697, _322699, _322701, _322703, _322705] : [-(unordered_triple(_322705, _322701, _322697) = unordered_triple(_322703, _322699, _322695)), _322705 = _322703, _322701 = _322699, _322697 = _322695], (1208 ^ _284635) ^ [_323183, _323185, _323187, _323189] : [-(k8_filter_1(_323189, _323185) = k8_filter_1(_323187, _323183)), _323189 = _323187, _323185 = _323183], (1218 ^ _284635) ^ [_323514, _323516] : [_323516 = _323514, -(the_topology(_323516) = the_topology(_323514))], (1224 ^ _284635) ^ [_323732, _323734] : [_323734 = _323732, -(empty_carrier_subset(_323734) = empty_carrier_subset(_323732))], (1230 ^ _284635) ^ [_323950, _323952] : [_323952 = _323950, -(the_InternalRel(_323952) = the_InternalRel(_323950))], (1236 ^ _284635) ^ [_324168, _324170] : [_324170 = _324168, -(the_L_join(_324170) = the_L_join(_324168))], (1242 ^ _284635) ^ [_324386, _324388] : [_324388 = _324386, -(the_L_meet(_324388) = the_L_meet(_324386))], (1248 ^ _284635) ^ [_324604, _324606] : [_324606 = _324604, -(a_1_0_filter_1(_324606) = a_1_0_filter_1(_324604))], (1254 ^ _284635) ^ [_324850, _324852, _324854, _324856] : [-(a_2_2_lattice3(_324856, _324852) = a_2_2_lattice3(_324854, _324850)), _324856 = _324854, _324852 = _324850], (1264 ^ _284635) ^ [_325209, _325211, _325213, _325215] : [-(a_2_3_lattice3(_325215, _325211) = a_2_3_lattice3(_325213, _325209)), _325215 = _325213, _325211 = _325209], (1274 ^ _284635) ^ [_325568, _325570, _325572, _325574] : [-(rel_str_of(_325574, _325570) = rel_str_of(_325572, _325568)), _325574 = _325572, _325570 = _325568], (1284 ^ _284635) ^ [_325955, _325957, _325959, _325961, _325963, _325965] : [-(latt_str_of(_325965, _325961, _325957) = latt_str_of(_325963, _325959, _325955)), _325965 = _325963, _325961 = _325959, _325957 = _325955], (1298 ^ _284635) ^ [_326499, _326501, _326503, _326505, _326507, _326509, _326511, _326513] : [-(k10_filter_1(_326513, _326509, _326505, _326501) = k10_filter_1(_326511, _326507, _326503, _326499)), _326513 = _326511, _326509 = _326507, _326505 = _326503, _326501 = _326499], (1316 ^ _284635) ^ [_327104, _327106] : [_327106 = _327104, -(k1_pcomps_1(_327106) = k1_pcomps_1(_327104))], (1322 ^ _284635) ^ [_327462, _327464, _327466, _327468, _327470, _327472, _327474, _327476, _327478, _327480, _327482, _327484] : [-(apply_binary_as_element(_327484, _327480, _327476, _327472, _327468, _327464) = apply_binary_as_element(_327482, _327478, _327474, _327470, _327466, _327462)), _327484 = _327482, _327480 = _327478, _327476 = _327474, _327472 = _327470, _327468 = _327466, _327464 = _327462], (1348 ^ _284635) ^ [_328461, _328463, _328465, _328467, _328469, _328471] : [-(apply_binary(_328471, _328467, _328463) = apply_binary(_328469, _328465, _328461)), _328471 = _328469, _328467 = _328465, _328463 = _328461], (1362 ^ _284635) ^ [_328921, _328923] : [_328923 = _328921, -(k2_lattice3(_328923) = k2_lattice3(_328921))], (1368 ^ _284635) ^ [_329195, _329197, _329199, _329201, _329203, _329205] : [-(join_commut(_329205, _329201, _329197) = join_commut(_329203, _329199, _329195)), _329205 = _329203, _329201 = _329199, _329197 = _329195], (1382 ^ _284635) ^ [_329711, _329713, _329715, _329717, _329719, _329721] : [-(subset_union2(_329721, _329717, _329713) = subset_union2(_329719, _329715, _329711)), _329721 = _329719, _329717 = _329715, _329713 = _329711], (1396 ^ _284635) ^ [_330171, _330173] : [_330173 = _330171, -(identity_as_relation_of(_330173) = identity_as_relation_of(_330171))], (1402 ^ _284635) ^ [_330389, _330391] : [_330391 = _330389, -(set_meet(_330391) = set_meet(_330389))], (1408 ^ _284635) ^ [_330663, _330665, _330667, _330669, _330671, _330673] : [-(subset_intersection2(_330673, _330669, _330665) = subset_intersection2(_330671, _330667, _330663)), _330673 = _330671, _330669 = _330667, _330665 = _330663], (1422 ^ _284635) ^ [_331151, _331153, _331155, _331157] : [-(relation_image(_331157, _331153) = relation_image(_331155, _331151)), _331157 = _331155, _331153 = _331151], (1432 ^ _284635) ^ [_331510, _331512, _331514, _331516] : [-(relation_rng_restriction(_331516, _331512) = relation_rng_restriction(_331514, _331510)), _331516 = _331514, _331512 = _331510], (1442 ^ _284635) ^ [_331897, _331899, _331901, _331903, _331905, _331907] : [-(join(_331907, _331903, _331899) = join(_331905, _331901, _331897)), _331907 = _331905, _331903 = _331901, _331899 = _331897], (1456 ^ _284635) ^ [_332413, _332415, _332417, _332419, _332421, _332423] : [-(meet(_332423, _332419, _332415) = meet(_332421, _332417, _332413)), _332423 = _332421, _332419 = _332417, _332415 = _332413], (1470 ^ _284635) ^ [_332901, _332903, _332905, _332907] : [-(cartesian_product2(_332907, _332903) = cartesian_product2(_332905, _332901)), _332907 = _332905, _332903 = _332901], (1480 ^ _284635) ^ [_333260, _333262, _333264, _333266] : [-(fiber(_333266, _333262) = fiber(_333264, _333260)), _333266 = _333264, _333262 = _333260], (1490 ^ _284635) ^ [_333591, _333593] : [_333593 = _333591, -(cast_as_carrier_subset(_333593) = cast_as_carrier_subset(_333591))], (1496 ^ _284635) ^ [_333865, _333867, _333869, _333871, _333873, _333875] : [-(relation_dom_as_subset(_333875, _333871, _333867) = relation_dom_as_subset(_333873, _333869, _333865)), _333875 = _333873, _333871 = _333869, _333867 = _333865], (1510 ^ _284635) ^ [_334381, _334383, _334385, _334387, _334389, _334391] : [-(meet_commut(_334391, _334387, _334383) = meet_commut(_334389, _334385, _334381)), _334391 = _334389, _334387 = _334385, _334383 = _334381], (1524 ^ _284635) ^ [_334897, _334899, _334901, _334903, _334905, _334907] : [-(relation_rng_as_subset(_334907, _334903, _334899) = relation_rng_as_subset(_334905, _334901, _334897)), _334907 = _334905, _334903 = _334901, _334899 = _334897], (1538 ^ _284635) ^ [_335385, _335387, _335389, _335391] : [-(meet_on_relstr(_335391, _335387) = meet_on_relstr(_335389, _335385)), _335391 = _335389, _335387 = _335385], (1548 ^ _284635) ^ [_335744, _335746, _335748, _335750] : [-(join_on_relstr(_335750, _335746) = join_on_relstr(_335748, _335744)), _335750 = _335748, _335746 = _335744], (1558 ^ _284635) ^ [_336103, _336105, _336107, _336109] : [-(cast_to_el_of_lattice(_336109, _336105) = cast_to_el_of_lattice(_336107, _336103)), _336109 = _336107, _336105 = _336103], (1568 ^ _284635) ^ [_336518, _336520, _336522, _336524, _336526, _336528, _336530, _336532] : [-(ordered_pair_as_product_element(_336532, _336528, _336524, _336520) = ordered_pair_as_product_element(_336530, _336526, _336522, _336518)), _336532 = _336530, _336528 = _336526, _336524 = _336522, _336520 = _336518], (1586 ^ _284635) ^ [_337123, _337125] : [_337125 = _337123, -(relation_of_lattice(_337125) = relation_of_lattice(_337123))], (1592 ^ _284635) ^ [_337369, _337371, _337373, _337375] : [-(meet_of_latt_set(_337375, _337371) = meet_of_latt_set(_337373, _337369)), _337375 = _337373, _337371 = _337369], (1602 ^ _284635) ^ [_337700, _337702] : [_337702 = _337700, -(relation_inverse(_337702) = relation_inverse(_337700))], (1608 ^ _284635) ^ [_337946, _337948, _337950, _337952] : [-(relation_restriction(_337952, _337948) = relation_restriction(_337950, _337946)), _337952 = _337950, _337948 = _337946], (1618 ^ _284635) ^ [_338277, _338279] : [_338279 = _338277, -(boole_lattice(_338279) = boole_lattice(_338277))], (1624 ^ _284635) ^ [_338495, _338497] : [_338497 = _338495, -(succ(_338497) = succ(_338495))], (1630 ^ _284635) ^ [_338741, _338743, _338745, _338747] : [-(relation_inverse_image(_338747, _338743) = relation_inverse_image(_338745, _338741)), _338747 = _338745, _338743 = _338741], (1640 ^ _284635) ^ [_339100, _339102, _339104, _339106] : [-(union_of_subsets(_339106, _339102) = union_of_subsets(_339104, _339100)), _339106 = _339104, _339102 = _339100], (1650 ^ _284635) ^ [_339459, _339461, _339463, _339465] : [-(complements_of_subsets(_339465, _339461) = complements_of_subsets(_339463, _339459)), _339465 = _339463, _339461 = _339459], (1660 ^ _284635) ^ [_339846, _339848, _339850, _339852, _339854, _339856] : [-(subset_difference(_339856, _339852, _339848) = subset_difference(_339854, _339850, _339846)), _339856 = _339854, _339852 = _339850, _339848 = _339846], (1674 ^ _284635) ^ [_340306, _340308] : [_340308 = _340306, -(cast_to_subset(_340308) = cast_to_subset(_340306))], (1680 ^ _284635) ^ [_340552, _340554, _340556, _340558] : [-(meet_of_subsets(_340558, _340554) = meet_of_subsets(_340556, _340552)), _340558 = _340556, _340554 = _340552], (1690 ^ _284635) ^ [_340883, _340885] : [_340885 = _340883, -(bottom_of_semilattstr(_340885) = bottom_of_semilattstr(_340883))], (1696 ^ _284635) ^ [_341129, _341131, _341133, _341135] : [-(join_of_latt_set(_341135, _341131) = join_of_latt_set(_341133, _341129)), _341135 = _341133, _341131 = _341129], (1706 ^ _284635) ^ [_341488, _341490, _341492, _341494] : [-(topstr_closure(_341494, _341490) = topstr_closure(_341492, _341488)), _341494 = _341492, _341490 = _341488], (1716 ^ _284635) ^ [_341847, _341849, _341851, _341853] : [-(subset_complement(_341853, _341849) = subset_complement(_341851, _341847)), _341853 = _341851, _341849 = _341847], (1726 ^ _284635) ^ [_342206, _342208, _342210, _342212] : [-(interior(_342212, _342208) = interior(_342210, _342206)), _342212 = _342210, _342208 = _342206], (1736 ^ _284635) ^ [_342537, _342539] : [_342539 = _342537, -(function_inverse(_342539) = function_inverse(_342537))], (1742 ^ _284635) ^ [_342755, _342757] : [_342757 = _342755, -(poset_of_lattice(_342757) = poset_of_lattice(_342755))], (1748 ^ _284635) ^ [_343001, _343003, _343005, _343007] : [-(cast_to_el_of_LattPOSet(_343007, _343003) = cast_to_el_of_LattPOSet(_343005, _343001)), _343007 = _343005, _343003 = _343001], (1758 ^ _284635) ^ [_343332, _343334] : [_343334 = _343332, -(pair_first(_343334) = pair_first(_343332))], (1764 ^ _284635) ^ [_343550, _343552] : [_343552 = _343550, -(pair_second(_343552) = pair_second(_343550))], (1770 ^ _284635) ^ [_343768, _343770] : [_343770 = _343768, -(inclusion_relation(_343770) = inclusion_relation(_343768))], (1776 ^ _284635) ^ [_344014, _344016, _344018, _344020] : [-(set_difference(_344020, _344016) = set_difference(_344018, _344014)), _344020 = _344018, _344016 = _344014], (1786 ^ _284635) ^ [_344373, _344375, _344377, _344379] : [-(ordered_pair(_344379, _344375) = ordered_pair(_344377, _344373)), _344379 = _344377, _344375 = _344373], (1796 ^ _284635) ^ [_344732, _344734, _344736, _344738] : [-(apply(_344738, _344734) = apply(_344736, _344732)), _344738 = _344736, _344734 = _344732], (1806 ^ _284635) ^ [_345063, _345065] : [_345065 = _345063, -(relation_field(_345065) = relation_field(_345063))], (1812 ^ _284635) ^ [_345309, _345311, _345313, _345315] : [-(set_union2(_345315, _345311) = set_union2(_345313, _345309)), _345315 = _345313, _345311 = _345309], (1822 ^ _284635) ^ [_345668, _345670, _345672, _345674] : [-(set_intersection2(_345674, _345670) = set_intersection2(_345672, _345668)), _345674 = _345672, _345670 = _345668], (1832 ^ _284635) ^ [_345999, _346001] : [_346001 = _345999, -(relation_dom(_346001) = relation_dom(_345999))], (1838 ^ _284635) ^ [_346301, _346303, _346305, _346307, _346309, _346311, _346313, _346315] : [-(apply_as_element(_346315, _346311, _346307, _346303) = apply_as_element(_346313, _346309, _346305, _346301)), _346315 = _346313, _346311 = _346309, _346307 = _346305, _346303 = _346301], (1856 ^ _284635) ^ [_346906, _346908] : [_346908 = _346906, -(identity_on_carrier(_346908) = identity_on_carrier(_346906))], (1862 ^ _284635) ^ [_347152, _347154, _347156, _347158] : [-(relation_composition(_347158, _347154) = relation_composition(_347156, _347152)), _347158 = _347156, _347154 = _347152], (1872 ^ _284635) ^ [_347483, _347485] : [_347485 = _347483, -(identity_relation(_347485) = identity_relation(_347483))], (1878 ^ _284635) ^ [_347729, _347731, _347733, _347735] : [-(relation_dom_restriction(_347735, _347731) = relation_dom_restriction(_347733, _347729)), _347735 = _347733, _347731 = _347729], (1888 ^ _284635) ^ [_348060, _348062] : [_348062 = _348060, -(relation_rng(_348062) = relation_rng(_348060))], (1894 ^ _284635) ^ [_348278, _348280] : [_348280 = _348278, -(union(_348280) = union(_348278))], (1900 ^ _284635) ^ [_348496, _348498] : [_348498 = _348496, -(powerset(_348498) = powerset(_348496))], (1906 ^ _284635) ^ [_348714, _348716] : [_348716 = _348714, -(singleton(_348716) = singleton(_348714))], (1912 ^ _284635) ^ [_348960, _348962, _348964, _348966] : [-(unordered_pair(_348966, _348962) = unordered_pair(_348964, _348960)), _348966 = _348964, _348962 = _348960], (1922 ^ _284635) ^ [_349291, _349293] : [_349293 = _349291, -(the_carrier(_349293) = the_carrier(_349291))], (1928 ^ _284635) ^ [_349489, _349491] : [_349491 = _349489, -(bottom_of_relstr(_349491) = bottom_of_relstr(_349489))], (2 ^ _284635) ^ [_284779] : [-(_284779 = _284779)], (4 ^ _284635) ^ [_284886, _284888] : [_284888 = _284886, -(_284886 = _284888)], (10 ^ _284635) ^ [_285090, _285092, _285094] : [-(_285094 = _285090), _285094 = _285092, _285092 = _285090], (20 ^ _284635) ^ [_285403, _285405] : [-(v1_xcmplx_0(_285403)), _285405 = _285403, v1_xcmplx_0(_285405)], (30 ^ _284635) ^ [_285698, _285700] : [-(v1_xreal_0(_285698)), _285700 = _285698, v1_xreal_0(_285700)], (40 ^ _284635) ^ [_285993, _285995] : [-(v1_int_1(_285993)), _285995 = _285993, v1_int_1(_285995)], (50 ^ _284635) ^ [_286288, _286290] : [-(v1_rat_1(_286288)), _286290 = _286288, v1_rat_1(_286290)], (60 ^ _284635) ^ [_286611, _286613, _286615, _286617] : [-(is_antisymmetric_in(_286615, _286611)), is_antisymmetric_in(_286617, _286613), _286617 = _286615, _286613 = _286611], (74 ^ _284635) ^ [_287055, _287057, _287059, _287061] : [-(is_connected_in(_287059, _287055)), is_connected_in(_287061, _287057), _287061 = _287059, _287057 = _287055], (88 ^ _284635) ^ [_287499, _287501, _287503, _287505] : [-(is_transitive_in(_287503, _287499)), is_transitive_in(_287505, _287501), _287505 = _287503, _287501 = _287499], (102 ^ _284635) ^ [_287943, _287945, _287947, _287949] : [-(is_reflexive_in(_287947, _287943)), is_reflexive_in(_287949, _287945), _287949 = _287947, _287945 = _287943], (116 ^ _284635) ^ [_288359, _288361] : [-(cup_closed(_288359)), _288361 = _288359, cup_closed(_288361)], (126 ^ _284635) ^ [_288654, _288656] : [-(diff_closed(_288654)), _288656 = _288654, diff_closed(_288656)], (136 ^ _284635) ^ [_288949, _288951] : [-(preboolean(_288949)), _288951 = _288949, preboolean(_288951)], (146 ^ _284635) ^ [_289272, _289274, _289276, _289278] : [-(v1_binop_1(_289276, _289272)), v1_binop_1(_289278, _289274), _289278 = _289276, _289274 = _289272], (160 ^ _284635) ^ [_289716, _289718, _289720, _289722] : [-(v2_binop_1(_289720, _289716)), v2_binop_1(_289722, _289718), _289722 = _289720, _289718 = _289716], (174 ^ _284635) ^ [_290132, _290134] : [-(v1_membered(_290132)), _290134 = _290132, v1_membered(_290134)], (184 ^ _284635) ^ [_290427, _290429] : [-(v2_membered(_290427)), _290429 = _290427, v2_membered(_290429)], (194 ^ _284635) ^ [_290722, _290724] : [-(v3_membered(_290722)), _290724 = _290722, v3_membered(_290724)], (204 ^ _284635) ^ [_291017, _291019] : [-(v4_membered(_291017)), _291019 = _291017, v4_membered(_291019)], (214 ^ _284635) ^ [_291312, _291314] : [-(v5_membered(_291312)), _291314 = _291312, v5_membered(_291314)], (224 ^ _284635) ^ [_291607, _291609] : [-(natural(_291607)), _291609 = _291607, natural(_291609)], (234 ^ _284635) ^ [_291958, _291960, _291962, _291964, _291966, _291968] : [-(onto(_291966, _291962, _291958)), onto(_291968, _291964, _291960), _291968 = _291966, _291964 = _291962, _291960 = _291958], (252 ^ _284635) ^ [_292567, _292569, _292571, _292573, _292575, _292577] : [-(bijective(_292575, _292571, _292567)), bijective(_292577, _292573, _292569), _292577 = _292575, _292573 = _292571, _292569 = _292567], (270 ^ _284635) ^ [_293120, _293122] : [-(strict_rel_str(_293120)), _293122 = _293120, strict_rel_str(_293122)], (280 ^ _284635) ^ [_293415, _293417] : [-(epsilon_connected(_293415)), _293417 = _293415, epsilon_connected(_293417)], (290 ^ _284635) ^ [_293710, _293712] : [-(symmetric(_293710)), _293712 = _293710, symmetric(_293712)], (300 ^ _284635) ^ [_294061, _294063, _294065, _294067, _294069, _294071] : [-(v1_partfun1(_294069, _294065, _294061)), v1_partfun1(_294071, _294067, _294063), _294071 = _294069, _294067 = _294065, _294063 = _294061], (318 ^ _284635) ^ [_294614, _294616] : [-(relation_empty_yielding(_294614)), _294616 = _294614, relation_empty_yielding(_294616)], (328 ^ _284635) ^ [_294909, _294911] : [-(strict_latt_str(_294909)), _294911 = _294909, strict_latt_str(_294911)], (338 ^ _284635) ^ [_295204, _295206] : [-(join_associative(_295204)), _295206 = _295204, join_associative(_295206)], (348 ^ _284635) ^ [_295499, _295501] : [-(meet_associative(_295499)), _295501 = _295499, meet_associative(_295501)], (358 ^ _284635) ^ [_295794, _295796] : [-(meet_semilatt_str(_295794)), _295796 = _295794, meet_semilatt_str(_295796)], (368 ^ _284635) ^ [_296145, _296147, _296149, _296151, _296153, _296155] : [-(relation_of2(_296153, _296149, _296145)), relation_of2(_296155, _296151, _296147), _296155 = _296153, _296151 = _296149, _296147 = _296145], (386 ^ _284635) ^ [_296698, _296700] : [-(join_absorbing(_296698)), _296700 = _296698, join_absorbing(_296700)], (396 ^ _284635) ^ [_296993, _296995] : [-(reflexive_relstr(_296993)), _296995 = _296993, reflexive_relstr(_296995)], (406 ^ _284635) ^ [_297316, _297318, _297320, _297322] : [-(equipotent(_297320, _297316)), equipotent(_297322, _297318), _297322 = _297320, _297318 = _297316], (420 ^ _284635) ^ [_297732, _297734] : [-(compact_top_space(_297732)), _297734 = _297732, compact_top_space(_297734)], (430 ^ _284635) ^ [_298027, _298029] : [-(centered(_298027)), _298029 = _298027, centered(_298029)], (440 ^ _284635) ^ [_298350, _298352, _298354, _298356] : [-(open_subsets(_298354, _298350)), open_subsets(_298356, _298352), _298356 = _298354, _298352 = _298350], (454 ^ _284635) ^ [_298794, _298796, _298798, _298800] : [-(closed_subsets(_298798, _298794)), closed_subsets(_298800, _298796), _298800 = _298798, _298796 = _298794], (468 ^ _284635) ^ [_299210, _299212] : [-(epsilon_transitive(_299210)), _299212 = _299210, epsilon_transitive(_299212)], (478 ^ _284635) ^ [_299505, _299507] : [-(meet_commutative(_299505)), _299507 = _299505, meet_commutative(_299507)], (488 ^ _284635) ^ [_299800, _299802] : [-(meet_absorbing(_299800)), _299802 = _299800, meet_absorbing(_299802)], (498 ^ _284635) ^ [_300095, _300097] : [-(finite(_300095)), _300097 = _300095, finite(_300097)], (508 ^ _284635) ^ [_300390, _300392] : [-(join_commutative(_300390)), _300392 = _300390, join_commutative(_300392)], (518 ^ _284635) ^ [_300685, _300687] : [-(join_semilatt_str(_300685)), _300687 = _300685, join_semilatt_str(_300687)], (528 ^ _284635) ^ [_300980, _300982] : [-(transitive_relstr(_300980)), _300982 = _300980, transitive_relstr(_300982)], (538 ^ _284635) ^ [_301331, _301333, _301335, _301337, _301339, _301341] : [-(below(_301339, _301335, _301331)), below(_301341, _301337, _301333), _301341 = _301339, _301337 = _301335, _301333 = _301331], (556 ^ _284635) ^ [_301940, _301942, _301944, _301946, _301948, _301950] : [-(latt_element_smaller(_301948, _301944, _301940)), latt_element_smaller(_301950, _301946, _301942), _301950 = _301948, _301946 = _301944, _301942 = _301940], (574 ^ _284635) ^ [_302521, _302523, _302525, _302527] : [-(ordinal_subset(_302525, _302521)), ordinal_subset(_302527, _302523), _302527 = _302525, _302523 = _302521], (588 ^ _284635) ^ [_302993, _302995, _302997, _302999, _303001, _303003] : [-(latt_set_smaller(_303001, _302997, _302993)), latt_set_smaller(_303003, _302999, _302995), _303003 = _303001, _302999 = _302997, _302995 = _302993], (606 ^ _284635) ^ [_303546, _303548] : [-(being_limit_ordinal(_303546)), _303548 = _303546, being_limit_ordinal(_303548)], (616 ^ _284635) ^ [_303869, _303871, _303873, _303875] : [-(ex_sup_of_relstr_set(_303873, _303869)), ex_sup_of_relstr_set(_303875, _303871), _303875 = _303873, _303871 = _303869], (630 ^ _284635) ^ [_304313, _304315, _304317, _304319] : [-(ex_inf_of_relstr_set(_304317, _304313)), ex_inf_of_relstr_set(_304319, _304315), _304319 = _304317, _304315 = _304313], (644 ^ _284635) ^ [_304729, _304731] : [-(complete_latt_str(_304729)), _304731 = _304729, complete_latt_str(_304731)], (654 ^ _284635) ^ [_305024, _305026] : [-(lower_bounded_semilattstr(_305024)), _305026 = _305024, lower_bounded_semilattstr(_305026)], (664 ^ _284635) ^ [_305347, _305349, _305351, _305353] : [-(closed_subset(_305351, _305347)), closed_subset(_305353, _305349), _305353 = _305351, _305349 = _305347], (678 ^ _284635) ^ [_305763, _305765] : [-(reflexive(_305763)), _305765 = _305763, reflexive(_305765)], (688 ^ _284635) ^ [_306058, _306060] : [-(transitive(_306058)), _306060 = _306058, transitive(_306060)], (698 ^ _284635) ^ [_306353, _306355] : [-(connected(_306353)), _306355 = _306353, connected(_306355)], (708 ^ _284635) ^ [_306704, _306706, _306708, _306710, _306712, _306714] : [-(relation_isomorphism(_306712, _306708, _306704)), relation_isomorphism(_306714, _306710, _306706), _306714 = _306712, _306710 = _306708, _306706 = _306704], (726 ^ _284635) ^ [_307257, _307259] : [-(topological_space(_307257)), _307259 = _307257, topological_space(_307259)], (736 ^ _284635) ^ [_307552, _307554] : [-(top_str(_307552)), _307554 = _307552, top_str(_307554)], (746 ^ _284635) ^ [_307875, _307877, _307879, _307881] : [-(open_subset(_307879, _307875)), open_subset(_307881, _307877), _307881 = _307879, _307877 = _307875], (760 ^ _284635) ^ [_308347, _308349, _308351, _308353, _308355, _308357] : [-(point_neighbourhood(_308355, _308351, _308347)), point_neighbourhood(_308357, _308353, _308349), _308357 = _308355, _308353 = _308351, _308349 = _308347], (778 ^ _284635) ^ [_308928, _308930, _308932, _308934] : [-(proper_element(_308932, _308928)), proper_element(_308934, _308930), _308934 = _308932, _308930 = _308928], (792 ^ _284635) ^ [_309372, _309374, _309376, _309378] : [-(is_a_cover_of_carrier(_309376, _309372)), is_a_cover_of_carrier(_309378, _309374), _309378 = _309376, _309374 = _309372], (806 ^ _284635) ^ [_309816, _309818, _309820, _309822] : [-(is_well_founded_in(_309820, _309816)), is_well_founded_in(_309822, _309818), _309822 = _309820, _309818 = _309816], (820 ^ _284635) ^ [_310232, _310234] : [-(antisymmetric(_310232)), _310234 = _310232, antisymmetric(_310234)], (830 ^ _284635) ^ [_310555, _310557, _310559, _310561] : [-(proper_subset(_310559, _310555)), proper_subset(_310561, _310557), _310561 = _310559, _310557 = _310555], (844 ^ _284635) ^ [_310971, _310973] : [-(one_to_one(_310971)), _310973 = _310971, one_to_one(_310973)], (854 ^ _284635) ^ [_311266, _311268] : [-(well_founded_relation(_311266)), _311268 = _311266, well_founded_relation(_311268)], (864 ^ _284635) ^ [_311617, _311619, _311621, _311623, _311625, _311627] : [-(relstr_set_smaller(_311625, _311621, _311617)), relstr_set_smaller(_311627, _311623, _311619), _311627 = _311625, _311623 = _311621, _311619 = _311617], (882 ^ _284635) ^ [_312226, _312228, _312230, _312232, _312234, _312236] : [-(relstr_element_smaller(_312234, _312230, _312226)), relstr_element_smaller(_312236, _312232, _312228), _312236 = _312234, _312232 = _312230, _312228 = _312226], (900 ^ _284635) ^ [_312779, _312781] : [-(lattice(_312779)), _312781 = _312779, lattice(_312781)], (910 ^ _284635) ^ [_313074, _313076] : [-(latt_str(_313074)), _313076 = _313074, latt_str(_313076)], (920 ^ _284635) ^ [_313425, _313427, _313429, _313431, _313433, _313435] : [-(below_refl(_313433, _313429, _313425)), below_refl(_313435, _313431, _313427), _313435 = _313433, _313431 = _313429, _313427 = _313425], (938 ^ _284635) ^ [_314034, _314036, _314038, _314040, _314042, _314044] : [-(related_reflexive(_314042, _314038, _314034)), related_reflexive(_314044, _314040, _314036), _314044 = _314042, _314040 = _314038, _314036 = _314034], (956 ^ _284635) ^ [_314587, _314589] : [-(ordinal(_314587)), _314589 = _314587, ordinal(_314589)], (966 ^ _284635) ^ [_314910, _314912, _314914, _314916] : [-(disjoint(_314914, _314910)), disjoint(_314916, _314912), _314916 = _314914, _314912 = _314910], (980 ^ _284635) ^ [_315326, _315328] : [-(empty(_315326)), _315328 = _315326, empty(_315328)], (990 ^ _284635) ^ [_315649, _315651, _315653, _315655] : [-(well_orders(_315653, _315649)), well_orders(_315655, _315651), _315655 = _315653, _315651 = _315649], (1004 ^ _284635) ^ [_316065, _316067] : [-(well_ordering(_316065)), _316067 = _316065, well_ordering(_316067)], (1014 ^ _284635) ^ [_316360, _316362] : [-(one_sorted_str(_316360)), _316362 = _316360, one_sorted_str(_316362)], (1024 ^ _284635) ^ [_316655, _316657] : [-(relation(_316655)), _316657 = _316655, relation(_316657)], (1034 ^ _284635) ^ [_316950, _316952] : [-(function(_316950)), _316952 = _316950, function(_316952)], (1044 ^ _284635) ^ [_317301, _317303, _317305, _317307, _317309, _317311] : [-(quasi_total(_317309, _317305, _317301)), quasi_total(_317311, _317307, _317303), _317311 = _317309, _317307 = _317305, _317303 = _317301], (1062 ^ _284635) ^ [_317910, _317912, _317914, _317916, _317918, _317920] : [-(relation_of2_as_subset(_317918, _317914, _317910)), relation_of2_as_subset(_317920, _317916, _317912), _317920 = _317918, _317916 = _317914, _317912 = _317910], (1080 ^ _284635) ^ [_318491, _318493, _318495, _318497] : [-(subset(_318495, _318491)), subset(_318497, _318493), _318497 = _318495, _318493 = _318491], (1094 ^ _284635) ^ [_318935, _318937, _318939, _318941] : [-(are_equipotent(_318939, _318935)), are_equipotent(_318941, _318937), _318941 = _318939, _318937 = _318935], (1108 ^ _284635) ^ [_319379, _319381, _319383, _319385] : [-(in(_319383, _319379)), in(_319385, _319381), _319385 = _319383, _319381 = _319379], (1122 ^ _284635) ^ [_319795, _319797] : [-(empty_carrier(_319795)), _319797 = _319795, empty_carrier(_319797)], (1132 ^ _284635) ^ [_320090, _320092] : [-(antisymmetric_relstr(_320090)), _320092 = _320090, antisymmetric_relstr(_320092)], (1142 ^ _284635) ^ [_320385, _320387] : [-(lower_bounded_relstr(_320385)), _320387 = _320385, lower_bounded_relstr(_320387)], (1152 ^ _284635) ^ [_320680, _320682] : [-(rel_str(_320680)), _320682 = _320680, rel_str(_320682)], (1162 ^ _284635) ^ [_321003, _321005, _321007, _321009] : [-(element(_321007, _321003)), element(_321009, _321005), _321009 = _321007, _321005 = _321003], (1176 ^ _284635) ^ [_321455, _321457, _321459, _321461, _321463, _321465] : [-(related(_321463, _321459, _321455)), related(_321465, _321461, _321457), _321465 = _321463, _321461 = _321459, _321457 = _321455], (1934 ^ _284635) ^ [_350285] : [rel_str(_350285), strict_rel_str(_350285), -(_350285 = rel_str_of(the_carrier(_350285), the_InternalRel(_350285)))], (1944 ^ _284635) ^ [_350570] : [latt_str(_350570), strict_latt_str(_350570), -(_350570 = latt_str_of(the_carrier(_350570), the_L_join(_350570), the_L_meet(_350570)))], (1954 ^ _284635) ^ [_350875, _350877] : [in(_350877, _350875), in(_350875, _350877)], (1960 ^ _284635) ^ [_351086, _351088] : [proper_subset(_351088, _351086), proper_subset(_351086, _351088)], (1966 ^ _284635) ^ [_351283] : [v1_membered(_351283), 1969 ^ _284635 : [(1970 ^ _284635) ^ [_351413] : [element(_351413, _351283), -(v1_xcmplx_0(_351413))]]], (1976 ^ _284635) ^ [_351614] : [v2_membered(_351614), 1979 ^ _284635 : [(1980 ^ _284635) ^ [_351749] : [element(_351749, _351614), 1983 ^ _284635 : [(1984 ^ _284635) ^ [] : [-(v1_xcmplx_0(_351749))], (1986 ^ _284635) ^ [] : [-(v1_xreal_0(_351749))]]]]], (1988 ^ _284635) ^ [_352023] : [v3_membered(_352023), 1991 ^ _284635 : [(1992 ^ _284635) ^ [_352163] : [element(_352163, _352023), 1995 ^ _284635 : [(1996 ^ _284635) ^ [] : [-(v1_xcmplx_0(_352163))], (1998 ^ _284635) ^ [] : [-(v1_xreal_0(_352163))], (2000 ^ _284635) ^ [] : [-(v1_rat_1(_352163))]]]]], (2002 ^ _284635) ^ [_352509] : [v4_membered(_352509), 2005 ^ _284635 : [(2006 ^ _284635) ^ [_352654] : [element(_352654, _352509), 2009 ^ _284635 : [(2010 ^ _284635) ^ [] : [-(v1_xcmplx_0(_352654))], (2012 ^ _284635) ^ [] : [-(v1_xreal_0(_352654))], (2014 ^ _284635) ^ [] : [-(v1_int_1(_352654))], (2016 ^ _284635) ^ [] : [-(v1_rat_1(_352654))]]]]], (2018 ^ _284635) ^ [_353072] : [v5_membered(_353072), 2021 ^ _284635 : [(2022 ^ _284635) ^ [_353222] : [element(_353222, _353072), 2025 ^ _284635 : [(2026 ^ _284635) ^ [] : [-(v1_xcmplx_0(_353222))], (2028 ^ _284635) ^ [] : [-(natural(_353222))], (2030 ^ _284635) ^ [] : [-(v1_xreal_0(_353222))], (2032 ^ _284635) ^ [] : [-(v1_int_1(_353222))], (2034 ^ _284635) ^ [] : [-(v1_rat_1(_353222))]]]]], (2036 ^ _284635) ^ [_353712] : [empty(_353712), 2039 ^ _284635 : [(2040 ^ _284635) ^ [] : [-(v1_membered(_353712))], (2042 ^ _284635) ^ [] : [-(v2_membered(_353712))], (2044 ^ _284635) ^ [] : [-(v3_membered(_353712))], (2046 ^ _284635) ^ [] : [-(v4_membered(_353712))], (2048 ^ _284635) ^ [] : [-(v5_membered(_353712))]]], (2050 ^ _284635) ^ [_354179] : [v1_membered(_354179), 2053 ^ _284635 : [(2054 ^ _284635) ^ [_354311] : [element(_354311, powerset(_354179)), -(v1_membered(_354311))]]], (2060 ^ _284635) ^ [_354516] : [v2_membered(_354516), 2063 ^ _284635 : [(2064 ^ _284635) ^ [_354653] : [element(_354653, powerset(_354516)), 2067 ^ _284635 : [(2068 ^ _284635) ^ [] : [-(v1_membered(_354653))], (2070 ^ _284635) ^ [] : [-(v2_membered(_354653))]]]]], (2072 ^ _284635) ^ [_354931] : [v3_membered(_354931), 2075 ^ _284635 : [(2076 ^ _284635) ^ [_355073] : [element(_355073, powerset(_354931)), 2079 ^ _284635 : [(2080 ^ _284635) ^ [] : [-(v1_membered(_355073))], (2082 ^ _284635) ^ [] : [-(v2_membered(_355073))], (2084 ^ _284635) ^ [] : [-(v3_membered(_355073))]]]]], (2086 ^ _284635) ^ [_355423] : [v4_membered(_355423), 2089 ^ _284635 : [(2090 ^ _284635) ^ [_355570] : [element(_355570, powerset(_355423)), 2093 ^ _284635 : [(2094 ^ _284635) ^ [] : [-(v1_membered(_355570))], (2096 ^ _284635) ^ [] : [-(v2_membered(_355570))], (2098 ^ _284635) ^ [] : [-(v3_membered(_355570))], (2100 ^ _284635) ^ [] : [-(v4_membered(_355570))]]]]], (2102 ^ _284635) ^ [_355992] : [ordinal(_355992), 2105 ^ _284635 : [(2106 ^ _284635) ^ [_356132] : [element(_356132, _355992), 2109 ^ _284635 : [(2110 ^ _284635) ^ [] : [-(epsilon_transitive(_356132))], (2112 ^ _284635) ^ [] : [-(epsilon_connected(_356132))], (2114 ^ _284635) ^ [] : [-(ordinal(_356132))]]]]], (2116 ^ _284635) ^ [_356478] : [empty(_356478), -(finite(_356478))], (2122 ^ _284635) ^ [_356664] : [preboolean(_356664), 2125 ^ _284635 : [(2126 ^ _284635) ^ [] : [-(cup_closed(_356664))], (2128 ^ _284635) ^ [] : [-(diff_closed(_356664))]]], (2130 ^ _284635) ^ [_356921] : [empty(_356921), -(function(_356921))], (2136 ^ _284635) ^ [_357135, _357137, _357139] : [relation_of2(_357135, _357139, _357137), 2147 ^ _284635 : [(2148 ^ _284635) ^ [] : [-(function(_357135))], (2150 ^ _284635) ^ [] : [-(quasi_total(_357135, _357139, _357137))]], function(_357135), v1_partfun1(_357135, _357139, _357137)], (2152 ^ _284635) ^ [_357602] : [latt_str(_357602), 2163 ^ _284635 : [(2164 ^ _284635) ^ [] : [empty_carrier(_357602)], (2166 ^ _284635) ^ [] : [-(join_commutative(_357602))], (2168 ^ _284635) ^ [] : [-(join_associative(_357602))], (2170 ^ _284635) ^ [] : [-(meet_commutative(_357602))], (2172 ^ _284635) ^ [] : [-(meet_associative(_357602))], (2174 ^ _284635) ^ [] : [-(meet_absorbing(_357602))], (2176 ^ _284635) ^ [] : [-(join_absorbing(_357602))]], -(empty_carrier(_357602)), lattice(_357602)], (2178 ^ _284635) ^ [_358379] : [v5_membered(_358379), -(v4_membered(_358379))], (2184 ^ _284635) ^ [_358565] : [ordinal(_358565), 2187 ^ _284635 : [(2188 ^ _284635) ^ [] : [-(epsilon_transitive(_358565))], (2190 ^ _284635) ^ [] : [-(epsilon_connected(_358565))]]], (2192 ^ _284635) ^ [_358822] : [2203 ^ _284635 : [(2204 ^ _284635) ^ [] : [-(relation(_358822))], (2206 ^ _284635) ^ [] : [-(reflexive(_358822))]], relation(_358822), symmetric(_358822), transitive(_358822)], (2208 ^ _284635) ^ [_359245] : [empty(_359245), -(relation(_359245))], (2214 ^ _284635) ^ [_359459, _359461, _359463] : [element(_359459, powerset(cartesian_product2(_359463, _359461))), -(relation(_359459))], (2220 ^ _284635) ^ [_359669] : [v5_membered(_359669), 2223 ^ _284635 : [(2224 ^ _284635) ^ [_359821] : [element(_359821, powerset(_359669)), 2227 ^ _284635 : [(2228 ^ _284635) ^ [] : [-(v1_membered(_359821))], (2230 ^ _284635) ^ [] : [-(v2_membered(_359821))], (2232 ^ _284635) ^ [] : [-(v3_membered(_359821))], (2234 ^ _284635) ^ [] : [-(v4_membered(_359821))], (2236 ^ _284635) ^ [] : [-(v5_membered(_359821))]]]]], (2238 ^ _284635) ^ [_360315] : [2245 ^ _284635 : [(2246 ^ _284635) ^ [] : [-(epsilon_transitive(_360315))], (2248 ^ _284635) ^ [] : [-(epsilon_connected(_360315))], (2250 ^ _284635) ^ [] : [-(ordinal(_360315))], (2252 ^ _284635) ^ [] : [-(natural(_360315))]], empty(_360315), ordinal(_360315)], (2254 ^ _284635) ^ [_360795] : [finite(_360795), 2257 ^ _284635 : [(2258 ^ _284635) ^ [_360927] : [element(_360927, powerset(_360795)), -(finite(_360927))]]], (2264 ^ _284635) ^ [_361132] : [-(preboolean(_361132)), cup_closed(_361132), diff_closed(_361132)], (2274 ^ _284635) ^ [_361401] : [2285 ^ _284635 : [(2286 ^ _284635) ^ [] : [-(relation(_361401))], (2288 ^ _284635) ^ [] : [-(function(_361401))], (2290 ^ _284635) ^ [] : [-(one_to_one(_361401))]], relation(_361401), empty(_361401), function(_361401)], (2292 ^ _284635) ^ [_361922, _361924, _361926] : [relation_of2(_361922, _361926, _361924), 2307 ^ _284635 : [(2308 ^ _284635) ^ [] : [-(function(_361922))], (2310 ^ _284635) ^ [] : [-(one_to_one(_361922))], (2312 ^ _284635) ^ [] : [-(quasi_total(_361922, _361926, _361924))], (2314 ^ _284635) ^ [] : [-(onto(_361922, _361926, _361924))]], function(_361922), quasi_total(_361922, _361926, _361924), bijective(_361922, _361926, _361924)], (2316 ^ _284635) ^ [_362636] : [latt_str(_362636), 2347 ^ _284635 : [(2348 ^ _284635) ^ [] : [empty_carrier(_362636)], (2350 ^ _284635) ^ [] : [-(lattice(_362636))]], -(empty_carrier(_362636)), join_commutative(_362636), join_associative(_362636), meet_commutative(_362636), meet_associative(_362636), meet_absorbing(_362636), join_absorbing(_362636)], (2352 ^ _284635) ^ [_363478] : [v4_membered(_363478), -(v3_membered(_363478))], (2358 ^ _284635) ^ [_363664] : [-(ordinal(_363664)), epsilon_transitive(_363664), epsilon_connected(_363664)], (2368 ^ _284635) ^ [_363933] : [element(_363933, omega), 2371 ^ _284635 : [(2372 ^ _284635) ^ [] : [-(epsilon_transitive(_363933))], (2374 ^ _284635) ^ [] : [-(epsilon_connected(_363933))], (2376 ^ _284635) ^ [] : [-(ordinal(_363933))], (2378 ^ _284635) ^ [] : [-(natural(_363933))]]], (2380 ^ _284635) ^ [_364360, _364362, _364364] : [relation_of2(_364360, _364364, _364362), 2399 ^ _284635 : [(2400 ^ _284635) ^ [] : [-(function(_364360))], (2402 ^ _284635) ^ [] : [-(quasi_total(_364360, _364364, _364362))], (2404 ^ _284635) ^ [] : [-(bijective(_364360, _364364, _364362))]], function(_364360), one_to_one(_364360), quasi_total(_364360, _364364, _364362), onto(_364360, _364364, _364362)], (2406 ^ _284635) ^ [_365091] : [v3_membered(_365091), -(v2_membered(_365091))], (2412 ^ _284635) ^ [_365277] : [empty(_365277), 2415 ^ _284635 : [(2416 ^ _284635) ^ [] : [-(epsilon_transitive(_365277))], (2418 ^ _284635) ^ [] : [-(epsilon_connected(_365277))], (2420 ^ _284635) ^ [] : [-(ordinal(_365277))]]], (2422 ^ _284635) ^ [_365618, _365620] : [relation_of2(_365618, _365620, _365620), 2441 ^ _284635 : [(2442 ^ _284635) ^ [] : [-(function(_365618))], (2444 ^ _284635) ^ [] : [-(one_to_one(_365618))], (2446 ^ _284635) ^ [] : [-(quasi_total(_365618, _365620, _365620))], (2448 ^ _284635) ^ [] : [-(onto(_365618, _365620, _365620))], (2450 ^ _284635) ^ [] : [-(bijective(_365618, _365620, _365620))]], function(_365618), v1_partfun1(_365618, _365620, _365620), reflexive(_365618), quasi_total(_365618, _365620, _365620)], (2452 ^ _284635) ^ [_366471] : [v2_membered(_366471), -(v1_membered(_366471))], (2458 ^ _284635) ^ [_366671, _366673] : [-(empty(_366671)), 2461 ^ _284635 : [(2462 ^ _284635) ^ [_366835] : [relation_of2(_366835, _366673, _366671), 2473 ^ _284635 : [(2474 ^ _284635) ^ [] : [-(function(_366835))], (2476 ^ _284635) ^ [] : [-(v1_partfun1(_366835, _366673, _366671))], (2478 ^ _284635) ^ [] : [-(quasi_total(_366835, _366673, _366671))]], function(_366835), quasi_total(_366835, _366673, _366671)]]], (2480 ^ _284635) ^ [_367403, _367405] : [-(empty(_367405)), -(empty(_367403)), 2487 ^ _284635 : [(2488 ^ _284635) ^ [_367664] : [relation_of2(_367664, _367405, _367403), 2499 ^ _284635 : [(2500 ^ _284635) ^ [] : [-(function(_367664))], (2502 ^ _284635) ^ [] : [empty(_367664)], (2504 ^ _284635) ^ [] : [-(v1_partfun1(_367664, _367405, _367403))], (2506 ^ _284635) ^ [] : [-(quasi_total(_367664, _367405, _367403))]], function(_367664), quasi_total(_367664, _367405, _367403)]]], (2508 ^ _284635) ^ [_368294, _368296] : [-(unordered_pair(_368296, _368294) = unordered_pair(_368294, _368296))], (2510 ^ _284635) ^ [_368394, _368396] : [-(set_union2(_368396, _368394) = set_union2(_368394, _368396))], (2512 ^ _284635) ^ [_368523, _368525, _368527] : [-(join_commut(_368527, _368525, _368523) = join_commut(_368527, _368523, _368525)), -(empty_carrier(_368527)), join_commutative(_368527), join_semilatt_str(_368527), element(_368525, the_carrier(_368527)), element(_368523, the_carrier(_368527))], (2534 ^ _284635) ^ [_369117, _369119] : [-(set_intersection2(_369119, _369117) = set_intersection2(_369117, _369119))], (2536 ^ _284635) ^ [_369246, _369248, _369250] : [-(meet_commut(_369250, _369248, _369246) = meet_commut(_369250, _369246, _369248)), -(empty_carrier(_369250)), meet_commutative(_369250), meet_semilatt_str(_369250), element(_369248, the_carrier(_369250)), element(_369246, the_carrier(_369250))], (2558 ^ _284635) ^ [_369869, _369871, _369873] : [-(subset_union2(_369873, _369871, _369869) = subset_union2(_369873, _369869, _369871)), element(_369871, powerset(_369873)), element(_369869, powerset(_369873))], (2568 ^ _284635) ^ [_370216, _370218, _370220] : [-(subset_intersection2(_370220, _370218, _370216) = subset_intersection2(_370220, _370216, _370218)), element(_370218, powerset(_370220)), element(_370216, powerset(_370220))], (2578 ^ _284635) ^ [_370549, _370551] : [ordinal(_370551), ordinal(_370549), -(ordinal_subset(_370551, _370549)), -(ordinal_subset(_370549, _370551))], (2592 ^ _284635) ^ [_370936, _370938] : [relation(_370936), 2595 ^ _284635 : [(2618 ^ _284635) ^ [] : [-(_370936 = identity_relation(_370938)), 2631 ^ _284635 : [(2632 ^ _284635) ^ [] : [-(in(2619 ^ [_370936, _370938], _370938))], (2634 ^ _284635) ^ [] : [-(2619 ^ [_370936, _370938] = 2620 ^ [_370936, _370938])], (2636 ^ _284635) ^ [] : [in(ordered_pair(2619 ^ [_370936, _370938], 2620 ^ [_370936, _370938]), _370936)]], 2623 ^ _284635 : [(2624 ^ _284635) ^ [] : [-(in(ordered_pair(2619 ^ [_370936, _370938], 2620 ^ [_370936, _370938]), _370936))], (2626 ^ _284635) ^ [] : [in(2619 ^ [_370936, _370938], _370938), 2619 ^ [_370936, _370938] = 2620 ^ [_370936, _370938]]]], (2596 ^ _284635) ^ [] : [_370936 = identity_relation(_370938), 2599 ^ _284635 : [(2600 ^ _284635) ^ [_371246, _371248] : [in(ordered_pair(_371248, _371246), _370936), 2603 ^ _284635 : [(2604 ^ _284635) ^ [] : [-(in(_371248, _370938))], (2606 ^ _284635) ^ [] : [-(_371248 = _371246)]]], (2608 ^ _284635) ^ [_371509, _371511] : [-(in(ordered_pair(_371511, _371509), _370936)), in(_371511, _370938), _371511 = _371509]]]]], (2640 ^ _284635) ^ [_372617, _372619] : [_372619 = _372617, 2643 ^ _284635 : [(2644 ^ _284635) ^ [] : [-(subset(_372619, _372617))], (2646 ^ _284635) ^ [] : [-(subset(_372617, _372619))]]], (2648 ^ _284635) ^ [_372854, _372856] : [-(_372856 = _372854), subset(_372856, _372854), subset(_372854, _372856)], (2658 ^ _284635) ^ [_373141] : [rel_str(_373141), 2661 ^ _284635 : [(2662 ^ _284635) ^ [_373336, _373338] : [element(_373336, the_carrier(_373141)), ex_inf_of_relstr_set(_373141, _373338), 2669 ^ _284635 : [(2686 ^ _284635) ^ [] : [-(_373336 = meet_on_relstr(_373141, _373338)), relstr_element_smaller(_373141, _373338, _373336), 2692 ^ _284635 : [(2693 ^ _284635) ^ [] : [-(element(2691 ^ [_373141, _373336, _373338], the_carrier(_373141)))], (2695 ^ _284635) ^ [] : [-(relstr_element_smaller(_373141, _373338, 2691 ^ [_373141, _373336, _373338]))], (2697 ^ _284635) ^ [] : [related(_373141, 2691 ^ [_373141, _373336, _373338], _373336)]]], (2670 ^ _284635) ^ [] : [_373336 = meet_on_relstr(_373141, _373338), 2673 ^ _284635 : [(2674 ^ _284635) ^ [] : [-(relstr_element_smaller(_373141, _373338, _373336))], (2676 ^ _284635) ^ [_373782] : [element(_373782, the_carrier(_373141)), relstr_element_smaller(_373141, _373338, _373782), -(related(_373141, _373782, _373336))]]]]]]], (2701 ^ _284635) ^ [_374587] : [one_sorted_str(_374587), -(identity_on_carrier(_374587) = identity_as_relation_of(the_carrier(_374587)))], (2707 ^ _284635) ^ [_374787] : [relation(_374787), 2710 ^ _284635 : [(2711 ^ _284635) ^ [_374973, _374975] : [relation(_374973), 2714 ^ _284635 : [(2737 ^ _284635) ^ [] : [-(_374973 = relation_dom_restriction(_374787, _374975)), 2750 ^ _284635 : [(2751 ^ _284635) ^ [] : [-(in(2738 ^ [_374787, _374973, _374975], _374975))], (2753 ^ _284635) ^ [] : [-(in(ordered_pair(2738 ^ [_374787, _374973, _374975], 2739 ^ [_374787, _374973, _374975]), _374787))], (2755 ^ _284635) ^ [] : [in(ordered_pair(2738 ^ [_374787, _374973, _374975], 2739 ^ [_374787, _374973, _374975]), _374973)]], 2742 ^ _284635 : [(2743 ^ _284635) ^ [] : [-(in(ordered_pair(2738 ^ [_374787, _374973, _374975], 2739 ^ [_374787, _374973, _374975]), _374973))], (2745 ^ _284635) ^ [] : [in(2738 ^ [_374787, _374973, _374975], _374975), in(ordered_pair(2738 ^ [_374787, _374973, _374975], 2739 ^ [_374787, _374973, _374975]), _374787)]]], (2715 ^ _284635) ^ [] : [_374973 = relation_dom_restriction(_374787, _374975), 2718 ^ _284635 : [(2719 ^ _284635) ^ [_375298, _375300] : [in(ordered_pair(_375300, _375298), _374973), 2722 ^ _284635 : [(2723 ^ _284635) ^ [] : [-(in(_375300, _374975))], (2725 ^ _284635) ^ [] : [-(in(ordered_pair(_375300, _375298), _374787))]]], (2727 ^ _284635) ^ [_375577, _375579] : [-(in(ordered_pair(_375579, _375577), _374973)), in(_375579, _374975), in(ordered_pair(_375579, _375577), _374787)]]]]]]], (2759 ^ _284635) ^ [_376732] : [rel_str(_376732), -(bottom_of_relstr(_376732) = join_on_relstr(_376732, empty_set))], (2765 ^ _284635) ^ [_376930] : [relation(_376930), function(_376930), 2772 ^ _284635 : [(2802 ^ _284635) ^ [_378356, _378358] : [-(_378356 = relation_image(_376930, _378358)), 2819 ^ _284635 : [(2820 ^ _284635) ^ [] : [-(in(2818 ^ [_376930, _378356, _378358], relation_dom(_376930)))], (2822 ^ _284635) ^ [] : [-(in(2818 ^ [_376930, _378356, _378358], _378358))], (2824 ^ _284635) ^ [] : [-(2803 ^ [_376930, _378356, _378358] = apply(_376930, 2818 ^ [_376930, _378356, _378358]))], (2826 ^ _284635) ^ [] : [in(2803 ^ [_376930, _378356, _378358], _378356)]], 2806 ^ _284635 : [(2807 ^ _284635) ^ [] : [-(in(2803 ^ [_376930, _378356, _378358], _378356))], (2809 ^ _284635) ^ [_378676] : [in(_378676, relation_dom(_376930)), in(_378676, _378358), 2803 ^ [_376930, _378356, _378358] = apply(_376930, _378676)]]], (2773 ^ _284635) ^ [_377228, _377230] : [_377228 = relation_image(_376930, _377230), 2776 ^ _284635 : [(2777 ^ _284635) ^ [_377428] : [in(_377428, _377228), 2781 ^ _284635 : [(2782 ^ _284635) ^ [] : [-(in(2780 ^ [_376930, _377228, _377230, _377428], relation_dom(_376930)))], (2784 ^ _284635) ^ [] : [-(in(2780 ^ [_376930, _377228, _377230, _377428], _377230))], (2786 ^ _284635) ^ [] : [-(_377428 = apply(_376930, 2780 ^ [_376930, _377228, _377230, _377428]))]]], (2788 ^ _284635) ^ [_377883] : [-(in(_377883, _377228)), 2789 ^ _284635 : [(2790 ^ _284635) ^ [_377996] : [in(_377996, relation_dom(_376930)), in(_377996, _377230), _377883 = apply(_376930, _377996)]]]]]]], (2830 ^ _284635) ^ [_379486, _379488] : [relation(_379486), 2833 ^ _284635 : [(2834 ^ _284635) ^ [_379657] : [relation(_379657), 2837 ^ _284635 : [(2860 ^ _284635) ^ [] : [-(_379657 = relation_rng_restriction(_379488, _379486)), 2873 ^ _284635 : [(2874 ^ _284635) ^ [] : [-(in(2862 ^ [_379486, _379488, _379657], _379488))], (2876 ^ _284635) ^ [] : [-(in(ordered_pair(2861 ^ [_379486, _379488, _379657], 2862 ^ [_379486, _379488, _379657]), _379486))], (2878 ^ _284635) ^ [] : [in(ordered_pair(2861 ^ [_379486, _379488, _379657], 2862 ^ [_379486, _379488, _379657]), _379657)]], 2865 ^ _284635 : [(2866 ^ _284635) ^ [] : [-(in(ordered_pair(2861 ^ [_379486, _379488, _379657], 2862 ^ [_379486, _379488, _379657]), _379657))], (2868 ^ _284635) ^ [] : [in(2862 ^ [_379486, _379488, _379657], _379488), in(ordered_pair(2861 ^ [_379486, _379488, _379657], 2862 ^ [_379486, _379488, _379657]), _379486)]]], (2838 ^ _284635) ^ [] : [_379657 = relation_rng_restriction(_379488, _379486), 2841 ^ _284635 : [(2842 ^ _284635) ^ [_379984, _379986] : [in(ordered_pair(_379986, _379984), _379657), 2845 ^ _284635 : [(2846 ^ _284635) ^ [] : [-(in(_379984, _379488))], (2848 ^ _284635) ^ [] : [-(in(ordered_pair(_379986, _379984), _379486))]]], (2850 ^ _284635) ^ [_380263, _380265] : [-(in(ordered_pair(_380265, _380263), _379657)), in(_380263, _379488), in(ordered_pair(_380265, _380263), _379486)]]]]]]], (2882 ^ _284635) ^ [_381409] : [relation(_381409), 2885 ^ _284635 : [(2886 ^ _284635) ^ [] : [antisymmetric(_381409), -(is_antisymmetric_in(_381409, relation_field(_381409)))], (2892 ^ _284635) ^ [] : [is_antisymmetric_in(_381409, relation_field(_381409)), -(antisymmetric(_381409))]]], (2898 ^ _284635) ^ [_381840] : [relation(_381840), function(_381840), 2905 ^ _284635 : [(2928 ^ _284635) ^ [_382879, _382881] : [-(_382879 = relation_inverse_image(_381840, _382881)), 2940 ^ _284635 : [(2941 ^ _284635) ^ [] : [-(in(2929 ^ [_381840, _382879, _382881], relation_dom(_381840)))], (2943 ^ _284635) ^ [] : [-(in(apply(_381840, 2929 ^ [_381840, _382879, _382881]), _382881))], (2945 ^ _284635) ^ [] : [in(2929 ^ [_381840, _382879, _382881], _382879)]], 2932 ^ _284635 : [(2933 ^ _284635) ^ [] : [-(in(2929 ^ [_381840, _382879, _382881], _382879))], (2935 ^ _284635) ^ [] : [in(2929 ^ [_381840, _382879, _382881], relation_dom(_381840)), in(apply(_381840, 2929 ^ [_381840, _382879, _382881]), _382881)]]], (2906 ^ _284635) ^ [_382127, _382129] : [_382127 = relation_inverse_image(_381840, _382129), 2909 ^ _284635 : [(2910 ^ _284635) ^ [_382316] : [in(_382316, _382127), 2913 ^ _284635 : [(2914 ^ _284635) ^ [] : [-(in(_382316, relation_dom(_381840)))], (2916 ^ _284635) ^ [] : [-(in(apply(_381840, _382316), _382129))]]], (2918 ^ _284635) ^ [_382585] : [-(in(_382585, _382127)), in(_382585, relation_dom(_381840)), in(apply(_381840, _382585), _382129)]]]]], (2949 ^ _284635) ^ [_383647] : [-(empty_carrier(_383647)), meet_semilatt_str(_383647), 2956 ^ _284635 : [(2957 ^ _284635) ^ [] : [lower_bounded_semilattstr(_383647), 2961 ^ _284635 : [(2962 ^ _284635) ^ [] : [-(element(2960 ^ [_383647], the_carrier(_383647)))], (2964 ^ _284635) ^ [_384148] : [element(_384148, the_carrier(_383647)), 2967 ^ _284635 : [(2968 ^ _284635) ^ [] : [-(meet(_383647, 2960 ^ [_383647], _384148) = 2960 ^ [_383647])], (2970 ^ _284635) ^ [] : [-(meet(_383647, _384148, 2960 ^ [_383647]) = 2960 ^ [_383647])]]]]], (2972 ^ _284635) ^ [] : [-(lower_bounded_semilattstr(_383647)), 2973 ^ _284635 : [(2974 ^ _284635) ^ [_384500] : [element(_384500, the_carrier(_383647)), 2978 ^ _284635 : [(2979 ^ _284635) ^ [] : [-(element(2977 ^ [_383647, _384500], the_carrier(_383647)))], (2981 ^ _284635) ^ [] : [meet(_383647, _384500, 2977 ^ [_383647, _384500]) = _384500, meet(_383647, 2977 ^ [_383647, _384500], _384500) = _384500]]]]]]], (2989 ^ _284635) ^ [_385035] : [top_str(_385035), 2992 ^ _284635 : [(2993 ^ _284635) ^ [_385242] : [element(_385242, powerset(the_carrier(_385035))), 2996 ^ _284635 : [(2997 ^ _284635) ^ [_385450] : [element(_385450, powerset(the_carrier(_385035))), 3000 ^ _284635 : [(3040 ^ _284635) ^ [] : [-(_385450 = topstr_closure(_385035, _385242)), 3042 ^ _284635 : [(3043 ^ _284635) ^ [] : [-(in(3041 ^ [_385035, _385242, _385450], the_carrier(_385035)))], (3045 ^ _284635) ^ [] : [3046 ^ _284635 : [(3047 ^ _284635) ^ [] : [-(in(3041 ^ [_385035, _385242, _385450], _385450))], (3050 ^ _284635) ^ [] : [-(element(3048 ^ [_385035, _385242, _385450], powerset(the_carrier(_385035))))], (3052 ^ _284635) ^ [] : [-(open_subset(3048 ^ [_385035, _385242, _385450], _385035))], (3054 ^ _284635) ^ [] : [-(in(3041 ^ [_385035, _385242, _385450], 3048 ^ [_385035, _385242, _385450]))], (3056 ^ _284635) ^ [] : [-(disjoint(_385242, 3048 ^ [_385035, _385242, _385450]))]], 3057 ^ _284635 : [(3072 ^ _284635) ^ [] : [in(3041 ^ [_385035, _385242, _385450], _385450)], (3058 ^ _284635) ^ [_387713] : [element(_387713, powerset(the_carrier(_385035))), open_subset(_387713, _385035), in(3041 ^ [_385035, _385242, _385450], _387713), disjoint(_385242, _387713)]]]]], (3001 ^ _284635) ^ [] : [_385450 = topstr_closure(_385035, _385242), 3004 ^ _284635 : [(3005 ^ _284635) ^ [_385764] : [in(_385764, the_carrier(_385035)), 3008 ^ _284635 : [(3027 ^ _284635) ^ [] : [3029 ^ _284635 : [(3030 ^ _284635) ^ [] : [-(element(3028 ^ [_385035, _385242, _385450, _385764], powerset(the_carrier(_385035))))], (3032 ^ _284635) ^ [] : [-(open_subset(3028 ^ [_385035, _385242, _385450, _385764], _385035))], (3034 ^ _284635) ^ [] : [-(in(_385764, 3028 ^ [_385035, _385242, _385450, _385764]))], (3036 ^ _284635) ^ [] : [-(disjoint(_385242, 3028 ^ [_385035, _385242, _385450, _385764]))]], -(in(_385764, _385450))], (3009 ^ _284635) ^ [] : [in(_385764, _385450), 3012 ^ _284635 : [(3013 ^ _284635) ^ [_386059] : [element(_386059, powerset(the_carrier(_385035))), open_subset(_386059, _385035), in(_385764, _386059), disjoint(_385242, _386059)]]]]]]]]]]]]], (3076 ^ _284635) ^ [_388287] : [relation(_388287), 3079 ^ _284635 : [(3103 ^ _284635) ^ [_389400, _389402] : [-(_389400 = relation_image(_388287, _389402)), 3116 ^ _284635 : [(3117 ^ _284635) ^ [] : [-(in(ordered_pair(3115 ^ [_388287, _389400, _389402], 3104 ^ [_388287, _389400, _389402]), _388287))], (3119 ^ _284635) ^ [] : [-(in(3115 ^ [_388287, _389400, _389402], _389402))], (3121 ^ _284635) ^ [] : [in(3104 ^ [_388287, _389400, _389402], _389400)]], 3107 ^ _284635 : [(3108 ^ _284635) ^ [] : [-(in(3104 ^ [_388287, _389400, _389402], _389400))], (3110 ^ _284635) ^ [_389704] : [in(ordered_pair(_389704, 3104 ^ [_388287, _389400, _389402]), _388287), in(_389704, _389402)]]], (3080 ^ _284635) ^ [_388494, _388496] : [_388494 = relation_image(_388287, _388496), 3083 ^ _284635 : [(3084 ^ _284635) ^ [_388686] : [in(_388686, _388494), 3088 ^ _284635 : [(3089 ^ _284635) ^ [] : [-(in(ordered_pair(3087 ^ [_388287, _388494, _388496, _388686], _388686), _388287))], (3091 ^ _284635) ^ [] : [-(in(3087 ^ [_388287, _388494, _388496, _388686], _388496))]]], (3093 ^ _284635) ^ [_389040] : [-(in(_389040, _388494)), 3094 ^ _284635 : [(3095 ^ _284635) ^ [_389145] : [in(ordered_pair(_389145, _389040), _388287), in(_389145, _388496)]]]]]]], (3125 ^ _284635) ^ [_390306] : [relation(_390306), 3128 ^ _284635 : [(3152 ^ _284635) ^ [_391419, _391421] : [-(_391419 = relation_inverse_image(_390306, _391421)), 3165 ^ _284635 : [(3166 ^ _284635) ^ [] : [-(in(ordered_pair(3153 ^ [_390306, _391419, _391421], 3164 ^ [_390306, _391419, _391421]), _390306))], (3168 ^ _284635) ^ [] : [-(in(3164 ^ [_390306, _391419, _391421], _391421))], (3170 ^ _284635) ^ [] : [in(3153 ^ [_390306, _391419, _391421], _391419)]], 3156 ^ _284635 : [(3157 ^ _284635) ^ [] : [-(in(3153 ^ [_390306, _391419, _391421], _391419))], (3159 ^ _284635) ^ [_391723] : [in(ordered_pair(3153 ^ [_390306, _391419, _391421], _391723), _390306), in(_391723, _391421)]]], (3129 ^ _284635) ^ [_390513, _390515] : [_390513 = relation_inverse_image(_390306, _390515), 3132 ^ _284635 : [(3133 ^ _284635) ^ [_390705] : [in(_390705, _390513), 3137 ^ _284635 : [(3138 ^ _284635) ^ [] : [-(in(ordered_pair(_390705, 3136 ^ [_390306, _390513, _390515, _390705]), _390306))], (3140 ^ _284635) ^ [] : [-(in(3136 ^ [_390306, _390513, _390515, _390705], _390515))]]], (3142 ^ _284635) ^ [_391059] : [-(in(_391059, _390513)), 3143 ^ _284635 : [(3144 ^ _284635) ^ [_391164] : [in(ordered_pair(_391059, _391164), _390306), in(_391164, _390515)]]]]]]], (3174 ^ _284635) ^ [_392325] : [relation(_392325), 3177 ^ _284635 : [(3178 ^ _284635) ^ [] : [connected(_392325), -(is_connected_in(_392325, relation_field(_392325)))], (3184 ^ _284635) ^ [] : [is_connected_in(_392325, relation_field(_392325)), -(connected(_392325))]]], (3190 ^ _284635) ^ [_392756] : [-(empty_carrier(_392756)), latt_str(_392756), 3197 ^ _284635 : [(3198 ^ _284635) ^ [_393007] : [element(_393007, the_carrier(_392756)), 3201 ^ _284635 : [(3216 ^ _284635) ^ [_393644] : [3218 ^ _284635 : [(3219 ^ _284635) ^ [] : [-(element(3217 ^ [_392756, _393007, _393644], the_carrier(_392756)))], (3221 ^ _284635) ^ [] : [-(in(3217 ^ [_392756, _393007, _393644], _393644))], (3223 ^ _284635) ^ [] : [below(_392756, _393007, 3217 ^ [_392756, _393007, _393644])]], -(latt_set_smaller(_392756, _393007, _393644))], (3202 ^ _284635) ^ [_393200] : [latt_set_smaller(_392756, _393007, _393200), 3205 ^ _284635 : [(3206 ^ _284635) ^ [_393356] : [element(_393356, the_carrier(_392756)), in(_393356, _393200), -(below(_392756, _393007, _393356))]]]]]]], (3227 ^ _284635) ^ [_394121] : [-(empty_carrier(_394121)), meet_semilatt_str(_394121), lower_bounded_semilattstr(_394121), 3238 ^ _284635 : [(3239 ^ _284635) ^ [_394454] : [element(_394454, the_carrier(_394121)), 3242 ^ _284635 : [(3243 ^ _284635) ^ [] : [_394454 = bottom_of_semilattstr(_394121), 3246 ^ _284635 : [(3247 ^ _284635) ^ [_394731] : [element(_394731, the_carrier(_394121)), 3250 ^ _284635 : [(3251 ^ _284635) ^ [] : [-(meet(_394121, _394454, _394731) = _394454)], (3253 ^ _284635) ^ [] : [-(meet(_394121, _394731, _394454) = _394454)]]]]], (3255 ^ _284635) ^ [] : [-(_394454 = bottom_of_semilattstr(_394121)), 3257 ^ _284635 : [(3258 ^ _284635) ^ [] : [-(element(3256 ^ [_394121, _394454], the_carrier(_394121)))], (3260 ^ _284635) ^ [] : [meet(_394121, _394454, 3256 ^ [_394121, _394454]) = _394454, meet(_394121, 3256 ^ [_394121, _394454], _394454) = _394454]]]]]]], (3268 ^ _284635) ^ [_395438] : [relation(_395438), 3271 ^ _284635 : [(3272 ^ _284635) ^ [] : [transitive(_395438), -(is_transitive_in(_395438, relation_field(_395438)))], (3278 ^ _284635) ^ [] : [is_transitive_in(_395438, relation_field(_395438)), -(transitive(_395438))]]], (3284 ^ _284635) ^ [_395869] : [-(empty_carrier(_395869)), latt_str(_395869), 3291 ^ _284635 : [(3292 ^ _284635) ^ [_396120] : [element(_396120, the_carrier(_395869)), 3295 ^ _284635 : [(3310 ^ _284635) ^ [_396757] : [3312 ^ _284635 : [(3313 ^ _284635) ^ [] : [-(element(3311 ^ [_395869, _396120, _396757], the_carrier(_395869)))], (3315 ^ _284635) ^ [] : [-(in(3311 ^ [_395869, _396120, _396757], _396757))], (3317 ^ _284635) ^ [] : [below(_395869, 3311 ^ [_395869, _396120, _396757], _396120)]], -(latt_element_smaller(_395869, _396120, _396757))], (3296 ^ _284635) ^ [_396313] : [latt_element_smaller(_395869, _396120, _396313), 3299 ^ _284635 : [(3300 ^ _284635) ^ [_396469] : [element(_396469, the_carrier(_395869)), in(_396469, _396313), -(below(_395869, _396469, _396120))]]]]]]], (3321 ^ _284635) ^ [_397234] : [3328 ^ _284635 : [(3329 ^ _284635) ^ [_397456, _397458] : [-(apply_binary(_397234, _397458, _397456) = apply(_397234, ordered_pair(_397458, _397456)))]], relation(_397234), function(_397234)], (3331 ^ _284635) ^ [_397568] : [-(empty_carrier(_397568)), topological_space(_397568), top_str(_397568), 3342 ^ _284635 : [(3343 ^ _284635) ^ [_397895] : [element(_397895, the_carrier(_397568)), 3346 ^ _284635 : [(3347 ^ _284635) ^ [_398052] : [element(_398052, powerset(the_carrier(_397568))), 3350 ^ _284635 : [(3351 ^ _284635) ^ [] : [point_neighbourhood(_398052, _397568, _397895), -(in(_397895, interior(_397568, _398052)))], (3357 ^ _284635) ^ [] : [in(_397895, interior(_397568, _398052)), -(point_neighbourhood(_398052, _397568, _397895))]]]]]]], (3391 ^ _284635) ^ [_399587, _399589, _399591, _399593] : [-(_399587 = unordered_triple(_399593, _399591, _399589)), 3395 ^ _284635 : [(3396 ^ _284635) ^ [] : [-(in(3392 ^ [_399587, _399589, _399591, _399593], _399587))], (3398 ^ _284635) ^ [] : [3392 ^ [_399587, _399589, _399591, _399593] = _399593], (3400 ^ _284635) ^ [] : [3392 ^ [_399587, _399589, _399591, _399593] = _399591], (3402 ^ _284635) ^ [] : [3392 ^ [_399587, _399589, _399591, _399593] = _399589]], 3403 ^ _284635 : [(3414 ^ _284635) ^ [] : [in(3392 ^ [_399587, _399589, _399591, _399593], _399587)], (3404 ^ _284635) ^ [] : [-(3392 ^ [_399587, _399589, _399591, _399593] = _399593), -(3392 ^ [_399587, _399589, _399591, _399593] = _399591), -(3392 ^ [_399587, _399589, _399591, _399593] = _399589)]]], (3363 ^ _284635) ^ [_398623, _398625, _398627, _398629] : [_398623 = unordered_triple(_398629, _398627, _398625), 3366 ^ _284635 : [(3381 ^ _284635) ^ [_399225] : [3382 ^ _284635 : [(3383 ^ _284635) ^ [] : [_399225 = _398629], (3385 ^ _284635) ^ [] : [_399225 = _398627], (3387 ^ _284635) ^ [] : [_399225 = _398625]], -(in(_399225, _398623))], (3367 ^ _284635) ^ [_398825] : [in(_398825, _398623), -(_398825 = _398629), -(_398825 = _398627), -(_398825 = _398625)]]], (3418 ^ _284635) ^ [_400604] : [finite(_400604), 3422 ^ _284635 : [(3423 ^ _284635) ^ [] : [-(relation(3421 ^ [_400604]))], (3425 ^ _284635) ^ [] : [-(function(3421 ^ [_400604]))], (3427 ^ _284635) ^ [] : [-(relation_rng(3421 ^ [_400604]) = _400604)], (3429 ^ _284635) ^ [] : [-(in(relation_dom(3421 ^ [_400604]), omega))]]], (3431 ^ _284635) ^ [_401065] : [-(finite(_401065)), 3432 ^ _284635 : [(3433 ^ _284635) ^ [_401168] : [relation(_401168), function(_401168), relation_rng(_401168) = _401065, in(relation_dom(_401168), omega)]]], (3463 ^ _284635) ^ [_402097] : [3467 ^ _284635 : [(3468 ^ _284635) ^ [] : [-(in(ordered_pair(3464 ^ [_402097], 3465 ^ [_402097]), _402097))], (3470 ^ _284635) ^ [] : [-(in(ordered_pair(3464 ^ [_402097], 3466 ^ [_402097]), _402097))], (3472 ^ _284635) ^ [] : [3465 ^ [_402097] = 3466 ^ [_402097]]], -(function(_402097))], (3449 ^ _284635) ^ [_401626] : [function(_401626), 3452 ^ _284635 : [(3453 ^ _284635) ^ [_401807, _401809, _401811] : [-(_401809 = _401807), in(ordered_pair(_401811, _401809), _401626), in(ordered_pair(_401811, _401807), _401626)]]], (3476 ^ _284635) ^ [_402741, _402743, _402745] : [relation_of2_as_subset(_402741, _402745, _402743), 3479 ^ _284635 : [(3480 ^ _284635) ^ [] : [3481 ^ _284635 : [(3482 ^ _284635) ^ [] : [-(_402743 = empty_set)], (3484 ^ _284635) ^ [] : [_402745 = empty_set]], 3485 ^ _284635 : [(3486 ^ _284635) ^ [] : [quasi_total(_402741, _402745, _402743), -(_402745 = relation_dom_as_subset(_402745, _402743, _402741))], (3492 ^ _284635) ^ [] : [_402745 = relation_dom_as_subset(_402745, _402743, _402741), -(quasi_total(_402741, _402745, _402743))]]], (3498 ^ _284635) ^ [] : [_402743 = empty_set, -(_402745 = empty_set), 3505 ^ _284635 : [(3506 ^ _284635) ^ [] : [quasi_total(_402741, _402745, _402743), -(_402741 = empty_set)], (3512 ^ _284635) ^ [] : [_402741 = empty_set, -(quasi_total(_402741, _402745, _402743))]]]]], (3518 ^ _284635) ^ [_403931, _403933] : [strict_latt_str(_403931), latt_str(_403931), 3525 ^ _284635 : [(3526 ^ _284635) ^ [] : [_403931 = boole_lattice(_403933), 3529 ^ _284635 : [(3530 ^ _284635) ^ [] : [-(the_carrier(_403931) = powerset(_403933))], (3532 ^ _284635) ^ [_404392] : [element(_404392, powerset(_403933)), 3535 ^ _284635 : [(3536 ^ _284635) ^ [_404569] : [element(_404569, powerset(_403933)), 3539 ^ _284635 : [(3540 ^ _284635) ^ [] : [-(apply_binary(the_L_join(_403931), _404392, _404569) = subset_union2(_403933, _404392, _404569))], (3542 ^ _284635) ^ [] : [-(apply_binary(the_L_meet(_403931), _404392, _404569) = subset_intersection2(_403933, _404392, _404569))]]]]]]], (3544 ^ _284635) ^ [] : [-(_403931 = boole_lattice(_403933)), the_carrier(_403931) = powerset(_403933), 3550 ^ _284635 : [(3551 ^ _284635) ^ [] : [-(element(3549 ^ [_403931, _403933], powerset(_403933)))], (3554 ^ _284635) ^ [] : [-(element(3552 ^ [_403931, _403933], powerset(_403933)))], (3556 ^ _284635) ^ [] : [apply_binary(the_L_join(_403931), 3549 ^ [_403931, _403933], 3552 ^ [_403931, _403933]) = subset_union2(_403933, 3549 ^ [_403931, _403933], 3552 ^ [_403931, _403933]), apply_binary(the_L_meet(_403931), 3549 ^ [_403931, _403933], 3552 ^ [_403931, _403933]) = subset_intersection2(_403933, 3549 ^ [_403931, _403933], 3552 ^ [_403931, _403933])]]]]], (3564 ^ _284635) ^ [_405658] : [-(empty_carrier(_405658)), join_semilatt_str(_405658), 3571 ^ _284635 : [(3572 ^ _284635) ^ [_405909] : [element(_405909, the_carrier(_405658)), 3575 ^ _284635 : [(3576 ^ _284635) ^ [_406073] : [element(_406073, the_carrier(_405658)), -(join(_405658, _405909, _406073) = apply_binary_as_element(the_carrier(_405658), the_carrier(_405658), the_carrier(_405658), the_L_join(_405658), _405909, _406073))]]]]], (3582 ^ _284635) ^ [_406333] : [3583 ^ _284635 : [(3584 ^ _284635) ^ [_406455, _406457] : [_406333 = ordered_pair(_406457, _406455)]], 3585 ^ _284635 : [(3596 ^ _284635) ^ [_406918] : [3599 ^ _284635 : [(3600 ^ _284635) ^ [] : [-(_406333 = ordered_pair(3597 ^ [_406333, _406918], 3598 ^ [_406333, _406918]))], (3602 ^ _284635) ^ [] : [_406918 = 3597 ^ [_406333, _406918]]], -(_406918 = pair_first(_406333))], (3586 ^ _284635) ^ [_406564] : [_406564 = pair_first(_406333), 3589 ^ _284635 : [(3590 ^ _284635) ^ [_406729, _406731] : [_406333 = ordered_pair(_406731, _406729), -(_406564 = _406731)]]]]], (3606 ^ _284635) ^ [_407352] : [-(succ(_407352) = set_union2(_407352, singleton(_407352)))], (3608 ^ _284635) ^ [_407452] : [top_str(_407452), 3611 ^ _284635 : [(3646 ^ _284635) ^ [] : [-(topological_space(_407452)), in(the_carrier(_407452), the_topology(_407452)), 3654 ^ _284635 : [(3655 ^ _284635) ^ [] : [-(element(3653 ^ [_407452], powerset(powerset(the_carrier(_407452)))))], (3657 ^ _284635) ^ [] : [-(subset(3653 ^ [_407452], the_topology(_407452)))], (3659 ^ _284635) ^ [] : [in(union_of_subsets(the_carrier(_407452), 3653 ^ [_407452]), the_topology(_407452))]], 3661 ^ _284635 : [(3662 ^ _284635) ^ [] : [-(element(3660 ^ [_407452], powerset(the_carrier(_407452))))], (3665 ^ _284635) ^ [] : [-(element(3663 ^ [_407452], powerset(the_carrier(_407452))))], (3667 ^ _284635) ^ [] : [-(in(3660 ^ [_407452], the_topology(_407452)))], (3669 ^ _284635) ^ [] : [-(in(3663 ^ [_407452], the_topology(_407452)))], (3671 ^ _284635) ^ [] : [in(subset_intersection2(the_carrier(_407452), 3660 ^ [_407452], 3663 ^ [_407452]), the_topology(_407452))]]], (3612 ^ _284635) ^ [] : [topological_space(_407452), 3615 ^ _284635 : [(3616 ^ _284635) ^ [] : [-(in(the_carrier(_407452), the_topology(_407452)))], (3618 ^ _284635) ^ [_407870] : [element(_407870, powerset(powerset(the_carrier(_407452)))), subset(_407870, the_topology(_407452)), -(in(union_of_subsets(the_carrier(_407452), _407870), the_topology(_407452)))], (3628 ^ _284635) ^ [_408167] : [element(_408167, powerset(the_carrier(_407452))), 3631 ^ _284635 : [(3632 ^ _284635) ^ [_408342] : [element(_408342, powerset(the_carrier(_407452))), -(in(subset_intersection2(the_carrier(_407452), _408167, _408342), the_topology(_407452))), in(_408167, the_topology(_407452)), in(_408342, the_topology(_407452))]]]]]]], (3687 ^ _284635) ^ [_410284] : [3689 ^ _284635 : [(3690 ^ _284635) ^ [] : [-(in(3688 ^ [_410284], _410284))], (3692 ^ _284635) ^ [_410521, _410523] : [3688 ^ [_410284] = ordered_pair(_410523, _410521)]], -(relation(_410284))], (3675 ^ _284635) ^ [_409823] : [relation(_409823), 3678 ^ _284635 : [(3679 ^ _284635) ^ [_409971] : [in(_409971, _409823), -(_409971 = ordered_pair(3682 ^ [_409823, _409971], 3683 ^ [_409823, _409971]))]]], (3696 ^ _284635) ^ [_410678] : [relation(_410678), 3699 ^ _284635 : [(3710 ^ _284635) ^ [_411177] : [3712 ^ _284635 : [(3713 ^ _284635) ^ [] : [-(in(3711 ^ [_410678, _411177], _411177))], (3715 ^ _284635) ^ [] : [in(ordered_pair(3711 ^ [_410678, _411177], 3711 ^ [_410678, _411177]), _410678)]], -(is_reflexive_in(_410678, _411177))], (3700 ^ _284635) ^ [_410852] : [is_reflexive_in(_410678, _410852), 3703 ^ _284635 : [(3704 ^ _284635) ^ [_410994] : [in(_410994, _410852), -(in(ordered_pair(_410994, _410994), _410678))]]]]], (3719 ^ _284635) ^ [_411600, _411602, _411604] : [relation_of2(_411600, _411604, _411602), -(subset(_411600, cartesian_product2(_411604, _411602)))], (3725 ^ _284635) ^ [_411776, _411778, _411780] : [subset(_411776, cartesian_product2(_411780, _411778)), -(relation_of2(_411776, _411780, _411778))], (3780 ^ _284635) ^ [_413729, _413731] : [_413731 = empty_set, 3783 ^ _284635 : [(3784 ^ _284635) ^ [] : [_413729 = set_meet(_413731), -(_413729 = empty_set)], (3790 ^ _284635) ^ [] : [_413729 = empty_set, -(_413729 = set_meet(_413731))]]], (3731 ^ _284635) ^ [_412022, _412024] : [-(_412024 = empty_set), 3734 ^ _284635 : [(3758 ^ _284635) ^ [] : [-(_412022 = set_meet(_412024)), 3762 ^ _284635 : [(3763 ^ _284635) ^ [] : [-(in(3759 ^ [_412022, _412024], _412022))], (3766 ^ _284635) ^ [] : [-(in(3764 ^ [_412022, _412024], _412024))], (3768 ^ _284635) ^ [] : [in(3759 ^ [_412022, _412024], 3764 ^ [_412022, _412024])]], 3769 ^ _284635 : [(3776 ^ _284635) ^ [] : [in(3759 ^ [_412022, _412024], _412022)], (3770 ^ _284635) ^ [_413424] : [in(_413424, _412024), -(in(3759 ^ [_412022, _412024], _413424))]]], (3735 ^ _284635) ^ [] : [_412022 = set_meet(_412024), 3738 ^ _284635 : [(3749 ^ _284635) ^ [_412650] : [3751 ^ _284635 : [(3752 ^ _284635) ^ [] : [-(in(3750 ^ [_412022, _412024, _412650], _412024))], (3754 ^ _284635) ^ [] : [in(_412650, 3750 ^ [_412022, _412024, _412650])]], -(in(_412650, _412022))], (3739 ^ _284635) ^ [_412320] : [in(_412320, _412022), 3742 ^ _284635 : [(3743 ^ _284635) ^ [_412465] : [in(_412465, _412024), -(in(_412320, _412465))]]]]]]], (3796 ^ _284635) ^ [_414183] : [one_sorted_str(_414183), 3799 ^ _284635 : [(3800 ^ _284635) ^ [] : [empty_carrier(_414183), -(empty(the_carrier(_414183)))], (3806 ^ _284635) ^ [] : [empty(the_carrier(_414183)), -(empty_carrier(_414183))]]], (3828 ^ _284635) ^ [_415175, _415177] : [-(_415175 = singleton(_415177)), 3832 ^ _284635 : [(3833 ^ _284635) ^ [] : [-(in(3829 ^ [_415175, _415177], _415175))], (3835 ^ _284635) ^ [] : [3829 ^ [_415175, _415177] = _415177]], 3836 ^ _284635 : [(3837 ^ _284635) ^ [] : [-(3829 ^ [_415175, _415177] = _415177)], (3839 ^ _284635) ^ [] : [in(3829 ^ [_415175, _415177], _415175)]]], (3812 ^ _284635) ^ [_414654, _414656] : [_414654 = singleton(_414656), 3815 ^ _284635 : [(3816 ^ _284635) ^ [_414824] : [in(_414824, _414654), -(_414824 = _414656)], (3822 ^ _284635) ^ [_414996] : [_414996 = _414656, -(in(_414996, _414654))]]], (3843 ^ _284635) ^ [_415697] : [top_str(_415697), 3846 ^ _284635 : [(3847 ^ _284635) ^ [_415848] : [element(_415848, powerset(the_carrier(_415697))), -(interior(_415697, _415848) = subset_complement(the_carrier(_415697), topstr_closure(_415697, subset_complement(the_carrier(_415697), _415848))))]]], (3853 ^ _284635) ^ [_416091] : [top_str(_416091), 3856 ^ _284635 : [(3857 ^ _284635) ^ [_416255] : [element(_416255, powerset(powerset(the_carrier(_416091)))), 3860 ^ _284635 : [(3875 ^ _284635) ^ [] : [3877 ^ _284635 : [(3878 ^ _284635) ^ [] : [-(element(3876 ^ [_416091, _416255], powerset(the_carrier(_416091))))], (3880 ^ _284635) ^ [] : [-(in(3876 ^ [_416091, _416255], _416255))], (3882 ^ _284635) ^ [] : [open_subset(3876 ^ [_416091, _416255], _416091)]], -(open_subsets(_416255, _416091))], (3861 ^ _284635) ^ [] : [open_subsets(_416255, _416091), 3864 ^ _284635 : [(3865 ^ _284635) ^ [_416530] : [element(_416530, powerset(the_carrier(_416091))), in(_416530, _416255), -(open_subset(_416530, _416091))]]]]]]], (3886 ^ _284635) ^ [_417206] : [relation(_417206), 3889 ^ _284635 : [(3912 ^ _284635) ^ [_418158, _418160] : [-(_418158 = fiber(_417206, _418160)), 3924 ^ _284635 : [(3925 ^ _284635) ^ [] : [3913 ^ [_417206, _418158, _418160] = _418160], (3927 ^ _284635) ^ [] : [-(in(ordered_pair(3913 ^ [_417206, _418158, _418160], _418160), _417206))], (3929 ^ _284635) ^ [] : [in(3913 ^ [_417206, _418158, _418160], _418158)]], 3916 ^ _284635 : [(3917 ^ _284635) ^ [] : [-(in(3913 ^ [_417206, _418158, _418160], _418158))], (3919 ^ _284635) ^ [] : [-(3913 ^ [_417206, _418158, _418160] = _418160), in(ordered_pair(3913 ^ [_417206, _418158, _418160], _418160), _417206)]]], (3890 ^ _284635) ^ [_417410, _417412] : [_417410 = fiber(_417206, _417412), 3893 ^ _284635 : [(3894 ^ _284635) ^ [_417599] : [in(_417599, _417410), 3897 ^ _284635 : [(3898 ^ _284635) ^ [] : [_417599 = _417412], (3900 ^ _284635) ^ [] : [-(in(ordered_pair(_417599, _417412), _417206))]]], (3902 ^ _284635) ^ [_417865] : [-(in(_417865, _417410)), -(_417865 = _417412), in(ordered_pair(_417865, _417412), _417206)]]]]], (3933 ^ _284635) ^ [_418934, _418936] : [relation(_418934), 3936 ^ _284635 : [(3963 ^ _284635) ^ [] : [-(_418934 = inclusion_relation(_418936)), relation_field(_418934) = _418936, 3970 ^ _284635 : [(3971 ^ _284635) ^ [] : [-(in(3968 ^ [_418934, _418936], _418936))], (3973 ^ _284635) ^ [] : [-(in(3969 ^ [_418934, _418936], _418936))], (3975 ^ _284635) ^ [] : [3976 ^ _284635 : [(3977 ^ _284635) ^ [] : [-(in(ordered_pair(3968 ^ [_418934, _418936], 3969 ^ [_418934, _418936]), _418934))], (3979 ^ _284635) ^ [] : [subset(3968 ^ [_418934, _418936], 3969 ^ [_418934, _418936])]], 3980 ^ _284635 : [(3981 ^ _284635) ^ [] : [-(subset(3968 ^ [_418934, _418936], 3969 ^ [_418934, _418936]))], (3983 ^ _284635) ^ [] : [in(ordered_pair(3968 ^ [_418934, _418936], 3969 ^ [_418934, _418936]), _418934)]]]]], (3937 ^ _284635) ^ [] : [_418934 = inclusion_relation(_418936), 3940 ^ _284635 : [(3941 ^ _284635) ^ [] : [-(relation_field(_418934) = _418936)], (3943 ^ _284635) ^ [_419297, _419299] : [in(_419299, _418936), in(_419297, _418936), 3950 ^ _284635 : [(3951 ^ _284635) ^ [] : [in(ordered_pair(_419299, _419297), _418934), -(subset(_419299, _419297))], (3957 ^ _284635) ^ [] : [subset(_419299, _419297), -(in(ordered_pair(_419299, _419297), _418934))]]]]]]], (3987 ^ _284635) ^ [_420749] : [_420749 = empty_set, 3990 ^ _284635 : [(3991 ^ _284635) ^ [_420862] : [in(_420862, _420749)]]], (3993 ^ _284635) ^ [_420928] : [-(in(3994 ^ [_420928], _420928)), -(_420928 = empty_set)], (4016 ^ _284635) ^ [_421740, _421742] : [-(_421740 = powerset(_421742)), 4020 ^ _284635 : [(4021 ^ _284635) ^ [] : [-(in(4017 ^ [_421740, _421742], _421740))], (4023 ^ _284635) ^ [] : [subset(4017 ^ [_421740, _421742], _421742)]], 4024 ^ _284635 : [(4025 ^ _284635) ^ [] : [-(subset(4017 ^ [_421740, _421742], _421742))], (4027 ^ _284635) ^ [] : [in(4017 ^ [_421740, _421742], _421740)]]], (4000 ^ _284635) ^ [_421219, _421221] : [_421219 = powerset(_421221), 4003 ^ _284635 : [(4004 ^ _284635) ^ [_421389] : [in(_421389, _421219), -(subset(_421389, _421221))], (4010 ^ _284635) ^ [_421561] : [subset(_421561, _421221), -(in(_421561, _421219))]]], (4031 ^ _284635) ^ [_422262] : [-(empty_carrier(_422262)), latt_str(_422262), -(empty_carrier(_422262)), lattice(_422262), complete_latt_str(_422262), latt_str(_422262), 4054 ^ _284635 : [(4055 ^ _284635) ^ [_422868, _422870] : [element(_422868, the_carrier(_422262)), 4058 ^ _284635 : [(4075 ^ _284635) ^ [] : [-(_422868 = join_of_latt_set(_422262, _422870)), latt_element_smaller(_422262, _422868, _422870), 4081 ^ _284635 : [(4082 ^ _284635) ^ [] : [-(element(4080 ^ [_422262, _422868, _422870], the_carrier(_422262)))], (4084 ^ _284635) ^ [] : [-(latt_element_smaller(_422262, 4080 ^ [_422262, _422868, _422870], _422870))], (4086 ^ _284635) ^ [] : [below(_422262, _422868, 4080 ^ [_422262, _422868, _422870])]]], (4059 ^ _284635) ^ [] : [_422868 = join_of_latt_set(_422262, _422870), 4062 ^ _284635 : [(4063 ^ _284635) ^ [] : [-(latt_element_smaller(_422262, _422868, _422870))], (4065 ^ _284635) ^ [_423225] : [element(_423225, the_carrier(_422262)), latt_element_smaller(_422262, _423225, _422870), -(below(_422262, _422868, _423225))]]]]]]], (4090 ^ _284635) ^ [_424038] : [4097 ^ _284635 : [(4098 ^ _284635) ^ [_424243] : [-(meet_of_latt_set(_424038, _424243) = join_of_latt_set(_424038, a_2_2_lattice3(_424038, _424243)))]], -(empty_carrier(_424038)), latt_str(_424038)], (4120 ^ _284635) ^ [_424953] : [-(centered(_424953)), -(_424953 = empty_set), 4126 ^ _284635 : [(4127 ^ _284635) ^ [] : [4125 ^ [_424953] = empty_set], (4129 ^ _284635) ^ [] : [-(subset(4125 ^ [_424953], _424953))], (4131 ^ _284635) ^ [] : [-(finite(4125 ^ [_424953]))], (4133 ^ _284635) ^ [] : [-(set_meet(4125 ^ [_424953]) = empty_set)]]], (4100 ^ _284635) ^ [_424381] : [centered(_424381), 4103 ^ _284635 : [(4104 ^ _284635) ^ [] : [_424381 = empty_set], (4106 ^ _284635) ^ [_424600] : [-(_424600 = empty_set), subset(_424600, _424381), finite(_424600), set_meet(_424600) = empty_set]]], (4137 ^ _284635) ^ [_425543] : [-(poset_of_lattice(_425543) = rel_str_of(the_carrier(_425543), k2_lattice3(_425543))), -(empty_carrier(_425543)), lattice(_425543), latt_str(_425543)], (4151 ^ _284635) ^ [_425918] : [-(empty_carrier(_425918)), meet_semilatt_str(_425918), 4158 ^ _284635 : [(4159 ^ _284635) ^ [_426169] : [element(_426169, the_carrier(_425918)), 4162 ^ _284635 : [(4163 ^ _284635) ^ [_426333] : [element(_426333, the_carrier(_425918)), -(meet(_425918, _426169, _426333) = apply_binary_as_element(the_carrier(_425918), the_carrier(_425918), the_carrier(_425918), the_L_meet(_425918), _426169, _426333))]]]]], (4169 ^ _284635) ^ [_426593] : [4170 ^ _284635 : [(4171 ^ _284635) ^ [_426715, _426717] : [_426593 = ordered_pair(_426717, _426715)]], 4172 ^ _284635 : [(4183 ^ _284635) ^ [_427178] : [4186 ^ _284635 : [(4187 ^ _284635) ^ [] : [-(_426593 = ordered_pair(4184 ^ [_426593, _427178], 4185 ^ [_426593, _427178]))], (4189 ^ _284635) ^ [] : [_427178 = 4185 ^ [_426593, _427178]]], -(_427178 = pair_second(_426593))], (4173 ^ _284635) ^ [_426824] : [_426824 = pair_second(_426593), 4176 ^ _284635 : [(4177 ^ _284635) ^ [_426989, _426991] : [_426593 = ordered_pair(_426991, _426989), -(_426824 = _426989)]]]]], (4203 ^ _284635) ^ [_427949] : [4205 ^ _284635 : [(4206 ^ _284635) ^ [] : [-(in(4204 ^ [_427949], _427949))], (4208 ^ _284635) ^ [] : [subset(4204 ^ [_427949], _427949)]], -(epsilon_transitive(_427949))], (4193 ^ _284635) ^ [_427649] : [epsilon_transitive(_427649), 4196 ^ _284635 : [(4197 ^ _284635) ^ [_427780] : [in(_427780, _427649), -(subset(_427780, _427649))]]], (4212 ^ _284635) ^ [_428274] : [one_sorted_str(_428274), -(empty_carrier_subset(_428274) = empty_set)], (4218 ^ _284635) ^ [_428466] : [relation(_428466), 4221 ^ _284635 : [(4222 ^ _284635) ^ [_428624] : [relation(_428624), 4225 ^ _284635 : [(4242 ^ _284635) ^ [] : [-(_428466 = _428624), 4247 ^ _284635 : [(4248 ^ _284635) ^ [] : [-(in(ordered_pair(4243 ^ [_428466, _428624], 4244 ^ [_428466, _428624]), _428466))], (4250 ^ _284635) ^ [] : [in(ordered_pair(4243 ^ [_428466, _428624], 4244 ^ [_428466, _428624]), _428624)]], 4251 ^ _284635 : [(4252 ^ _284635) ^ [] : [-(in(ordered_pair(4243 ^ [_428466, _428624], 4244 ^ [_428466, _428624]), _428624))], (4254 ^ _284635) ^ [] : [in(ordered_pair(4243 ^ [_428466, _428624], 4244 ^ [_428466, _428624]), _428466)]]], (4226 ^ _284635) ^ [] : [_428466 = _428624, 4229 ^ _284635 : [(4230 ^ _284635) ^ [_428929, _428931] : [in(ordered_pair(_428931, _428929), _428466), -(in(ordered_pair(_428931, _428929), _428624))], (4236 ^ _284635) ^ [_429119, _429121] : [in(ordered_pair(_429121, _429119), _428624), -(in(ordered_pair(_429121, _429119), _428466))]]]]]]], (4258 ^ _284635) ^ [_429956, _429958] : [-(empty(_429958)), 4261 ^ _284635 : [(4262 ^ _284635) ^ [] : [element(_429956, _429958), -(in(_429956, _429958))], (4268 ^ _284635) ^ [] : [in(_429956, _429958), -(element(_429956, _429958))]]], (4274 ^ _284635) ^ [_430369, _430371] : [empty(_430371), 4277 ^ _284635 : [(4278 ^ _284635) ^ [] : [element(_430369, _430371), -(empty(_430369))], (4284 ^ _284635) ^ [] : [empty(_430369), -(element(_430369, _430371))]]], (4312 ^ _284635) ^ [_431594, _431596, _431598] : [-(_431594 = unordered_pair(_431598, _431596)), 4316 ^ _284635 : [(4317 ^ _284635) ^ [] : [-(in(4313 ^ [_431594, _431596, _431598], _431594))], (4319 ^ _284635) ^ [] : [4313 ^ [_431594, _431596, _431598] = _431598], (4321 ^ _284635) ^ [] : [4313 ^ [_431594, _431596, _431598] = _431596]], 4322 ^ _284635 : [(4329 ^ _284635) ^ [] : [in(4313 ^ [_431594, _431596, _431598], _431594)], (4323 ^ _284635) ^ [] : [-(4313 ^ [_431594, _431596, _431598] = _431598), -(4313 ^ [_431594, _431596, _431598] = _431596)]]], (4290 ^ _284635) ^ [_430869, _430871, _430873] : [_430869 = unordered_pair(_430873, _430871), 4293 ^ _284635 : [(4304 ^ _284635) ^ [_431329] : [4305 ^ _284635 : [(4306 ^ _284635) ^ [] : [_431329 = _430873], (4308 ^ _284635) ^ [] : [_431329 = _430871]], -(in(_431329, _430869))], (4294 ^ _284635) ^ [_431051] : [in(_431051, _430869), -(_431051 = _430873), -(_431051 = _430871)]]], (4333 ^ _284635) ^ [_432345, _432347] : [element(_432345, _432347), 4336 ^ _284635 : [(4337 ^ _284635) ^ [] : [proper_element(_432345, _432347), _432345 = union(_432347)], (4343 ^ _284635) ^ [] : [-(_432345 = union(_432347)), -(proper_element(_432345, _432347))]]], (4349 ^ _284635) ^ [_432799] : [top_str(_432799), 4352 ^ _284635 : [(4353 ^ _284635) ^ [_432963] : [element(_432963, powerset(powerset(the_carrier(_432799)))), 4356 ^ _284635 : [(4371 ^ _284635) ^ [] : [4373 ^ _284635 : [(4374 ^ _284635) ^ [] : [-(element(4372 ^ [_432799, _432963], powerset(the_carrier(_432799))))], (4376 ^ _284635) ^ [] : [-(in(4372 ^ [_432799, _432963], _432963))], (4378 ^ _284635) ^ [] : [closed_subset(4372 ^ [_432799, _432963], _432799)]], -(closed_subsets(_432963, _432799))], (4357 ^ _284635) ^ [] : [closed_subsets(_432963, _432799), 4360 ^ _284635 : [(4361 ^ _284635) ^ [_433238] : [element(_433238, powerset(the_carrier(_432799))), in(_433238, _432963), -(closed_subset(_433238, _432799))]]]]]]], (4382 ^ _284635) ^ [_433914] : [relation(_433914), 4385 ^ _284635 : [(4403 ^ _284635) ^ [] : [-(well_founded_relation(_433914)), 4405 ^ _284635 : [(4406 ^ _284635) ^ [] : [-(subset(4404 ^ [_433914], relation_field(_433914)))], (4408 ^ _284635) ^ [] : [4404 ^ [_433914] = empty_set], (4410 ^ _284635) ^ [_434864] : [in(_434864, 4404 ^ [_433914]), disjoint(fiber(_433914, _434864), 4404 ^ [_433914])]]], (4386 ^ _284635) ^ [] : [well_founded_relation(_433914), 4389 ^ _284635 : [(4390 ^ _284635) ^ [_434181] : [subset(_434181, relation_field(_433914)), -(_434181 = empty_set), 4398 ^ _284635 : [(4399 ^ _284635) ^ [] : [-(in(4397 ^ [_433914, _434181], _434181))], (4401 ^ _284635) ^ [] : [-(disjoint(fiber(_433914, 4397 ^ [_433914, _434181]), _434181))]]]]]]], (4440 ^ _284635) ^ [_435928, _435930, _435932] : [-(_435928 = set_union2(_435932, _435930)), 4444 ^ _284635 : [(4445 ^ _284635) ^ [] : [-(in(4441 ^ [_435928, _435930, _435932], _435928))], (4447 ^ _284635) ^ [] : [in(4441 ^ [_435928, _435930, _435932], _435932)], (4449 ^ _284635) ^ [] : [in(4441 ^ [_435928, _435930, _435932], _435930)]], 4450 ^ _284635 : [(4457 ^ _284635) ^ [] : [in(4441 ^ [_435928, _435930, _435932], _435928)], (4451 ^ _284635) ^ [] : [-(in(4441 ^ [_435928, _435930, _435932], _435932)), -(in(4441 ^ [_435928, _435930, _435932], _435930))]]], (4418 ^ _284635) ^ [_435203, _435205, _435207] : [_435203 = set_union2(_435207, _435205), 4421 ^ _284635 : [(4432 ^ _284635) ^ [_435663] : [4433 ^ _284635 : [(4434 ^ _284635) ^ [] : [in(_435663, _435207)], (4436 ^ _284635) ^ [] : [in(_435663, _435205)]], -(in(_435663, _435203))], (4422 ^ _284635) ^ [_435385] : [in(_435385, _435203), -(in(_435385, _435207)), -(in(_435385, _435205))]]], (4491 ^ _284635) ^ [_437979, _437981, _437983] : [-(_437979 = cartesian_product2(_437983, _437981)), 4509 ^ _284635 : [(4510 ^ _284635) ^ [] : [-(in(4507 ^ [_437979, _437981, _437983], _437983))], (4512 ^ _284635) ^ [] : [-(in(4508 ^ [_437979, _437981, _437983], _437981))], (4514 ^ _284635) ^ [] : [-(4492 ^ [_437979, _437981, _437983] = ordered_pair(4507 ^ [_437979, _437981, _437983], 4508 ^ [_437979, _437981, _437983]))], (4516 ^ _284635) ^ [] : [in(4492 ^ [_437979, _437981, _437983], _437979)]], 4495 ^ _284635 : [(4496 ^ _284635) ^ [] : [-(in(4492 ^ [_437979, _437981, _437983], _437979))], (4498 ^ _284635) ^ [_438317, _438319] : [in(_438319, _437983), in(_438317, _437981), 4492 ^ [_437979, _437981, _437983] = ordered_pair(_438319, _438317)]]], (4461 ^ _284635) ^ [_436722, _436724, _436726] : [_436722 = cartesian_product2(_436726, _436724), 4464 ^ _284635 : [(4465 ^ _284635) ^ [_436923] : [in(_436923, _436722), 4470 ^ _284635 : [(4471 ^ _284635) ^ [] : [-(in(4468 ^ [_436722, _436724, _436726, _436923], _436726))], (4473 ^ _284635) ^ [] : [-(in(4469 ^ [_436722, _436724, _436726, _436923], _436724))], (4475 ^ _284635) ^ [] : [-(_436923 = ordered_pair(4468 ^ [_436722, _436724, _436726, _436923], 4469 ^ [_436722, _436724, _436726, _436923]))]]], (4477 ^ _284635) ^ [_437483] : [-(in(_437483, _436722)), 4478 ^ _284635 : [(4479 ^ _284635) ^ [_437613, _437615] : [in(_437615, _436726), in(_437613, _436724), _437483 = ordered_pair(_437615, _437613)]]]]], (4520 ^ _284635) ^ [_439213] : [top_str(_439213), 4523 ^ _284635 : [(4524 ^ _284635) ^ [] : [compact_top_space(_439213), 4527 ^ _284635 : [(4528 ^ _284635) ^ [_439502] : [element(_439502, powerset(powerset(the_carrier(_439213)))), is_a_cover_of_carrier(_439213, _439502), open_subsets(_439502, _439213), 4540 ^ _284635 : [(4541 ^ _284635) ^ [] : [-(element(4539 ^ [_439213, _439502], powerset(powerset(the_carrier(_439213)))))], (4543 ^ _284635) ^ [] : [-(subset(4539 ^ [_439213, _439502], _439502))], (4545 ^ _284635) ^ [] : [-(is_a_cover_of_carrier(_439213, 4539 ^ [_439213, _439502]))], (4547 ^ _284635) ^ [] : [-(finite(4539 ^ [_439213, _439502]))]]]]], (4549 ^ _284635) ^ [] : [-(compact_top_space(_439213)), 4551 ^ _284635 : [(4552 ^ _284635) ^ [] : [-(element(4550 ^ [_439213], powerset(powerset(the_carrier(_439213)))))], (4554 ^ _284635) ^ [] : [-(is_a_cover_of_carrier(_439213, 4550 ^ [_439213]))], (4556 ^ _284635) ^ [] : [-(open_subsets(4550 ^ [_439213], _439213))], (4558 ^ _284635) ^ [_440557] : [element(_440557, powerset(powerset(the_carrier(_439213)))), subset(_440557, 4550 ^ [_439213]), is_a_cover_of_carrier(_439213, _440557), finite(_440557)]]]]], (4574 ^ _284635) ^ [_441015] : [4585 ^ _284635 : [(4586 ^ _284635) ^ [_441320] : [element(_441320, the_carrier(_441015)), -(cast_to_el_of_LattPOSet(_441015, _441320) = _441320)]], -(empty_carrier(_441015)), lattice(_441015), latt_str(_441015)], (4592 ^ _284635) ^ [_441533] : [-(empty_carrier(_441533)), join_semilatt_str(_441533), 4599 ^ _284635 : [(4600 ^ _284635) ^ [_441776] : [element(_441776, the_carrier(_441533)), 4603 ^ _284635 : [(4604 ^ _284635) ^ [_441932] : [element(_441932, the_carrier(_441533)), 4607 ^ _284635 : [(4608 ^ _284635) ^ [] : [below(_441533, _441776, _441932), -(join(_441533, _441776, _441932) = _441932)], (4614 ^ _284635) ^ [] : [join(_441533, _441776, _441932) = _441932, -(below(_441533, _441776, _441932))]]]]]]], (4642 ^ _284635) ^ [_443096] : [4645 ^ _284635 : [(4646 ^ _284635) ^ [] : [-(in(4643 ^ [_443096], _443096))], (4648 ^ _284635) ^ [] : [-(in(4644 ^ [_443096], _443096))], (4650 ^ _284635) ^ [] : [in(4643 ^ [_443096], 4644 ^ [_443096])], (4652 ^ _284635) ^ [] : [4643 ^ [_443096] = 4644 ^ [_443096]], (4654 ^ _284635) ^ [] : [in(4644 ^ [_443096], 4643 ^ [_443096])]], -(epsilon_connected(_443096))], (4620 ^ _284635) ^ [_442458] : [epsilon_connected(_442458), 4623 ^ _284635 : [(4624 ^ _284635) ^ [_442634, _442636] : [in(_442636, _442458), in(_442634, _442458), -(in(_442636, _442634)), -(_442636 = _442634), -(in(_442634, _442636))]]], (4658 ^ _284635) ^ [_443802] : [one_sorted_str(_443802), -(cast_as_carrier_subset(_443802) = the_carrier(_443802))], (4664 ^ _284635) ^ [_443998] : [relation(_443998), 4667 ^ _284635 : [(4668 ^ _284635) ^ [_444156] : [relation(_444156), 4671 ^ _284635 : [(4682 ^ _284635) ^ [] : [4685 ^ _284635 : [(4686 ^ _284635) ^ [] : [-(in(ordered_pair(4683 ^ [_443998, _444156], 4684 ^ [_443998, _444156]), _443998))], (4688 ^ _284635) ^ [] : [in(ordered_pair(4683 ^ [_443998, _444156], 4684 ^ [_443998, _444156]), _444156)]], -(subset(_443998, _444156))], (4672 ^ _284635) ^ [] : [subset(_443998, _444156), 4675 ^ _284635 : [(4676 ^ _284635) ^ [_444432, _444434] : [in(ordered_pair(_444434, _444432), _443998), -(in(ordered_pair(_444434, _444432), _444156))]]]]]]], (4702 ^ _284635) ^ [_445395, _445397] : [4704 ^ _284635 : [(4705 ^ _284635) ^ [] : [-(in(4703 ^ [_445395, _445397], _445397))], (4707 ^ _284635) ^ [] : [in(4703 ^ [_445395, _445397], _445395)]], -(subset(_445397, _445395))], (4692 ^ _284635) ^ [_445081, _445083] : [subset(_445083, _445081), 4695 ^ _284635 : [(4696 ^ _284635) ^ [_445218] : [in(_445218, _445083), -(in(_445218, _445081))]]], (4711 ^ _284635) ^ [_445738] : [relation(_445738), 4714 ^ _284635 : [(4732 ^ _284635) ^ [_446541] : [-(is_well_founded_in(_445738, _446541)), 4734 ^ _284635 : [(4735 ^ _284635) ^ [] : [-(subset(4733 ^ [_445738, _446541], _446541))], (4737 ^ _284635) ^ [] : [4733 ^ [_445738, _446541] = empty_set], (4739 ^ _284635) ^ [_446883] : [in(_446883, 4733 ^ [_445738, _446541]), disjoint(fiber(_445738, _446883), 4733 ^ [_445738, _446541])]]], (4715 ^ _284635) ^ [_445935] : [is_well_founded_in(_445738, _445935), 4718 ^ _284635 : [(4719 ^ _284635) ^ [_446100] : [subset(_446100, _445935), -(_446100 = empty_set), 4727 ^ _284635 : [(4728 ^ _284635) ^ [] : [-(in(4726 ^ [_445738, _445935, _446100], _446100))], (4730 ^ _284635) ^ [] : [-(disjoint(fiber(_445738, 4726 ^ [_445738, _445935, _446100]), _446100))]]]]]]], (4769 ^ _284635) ^ [_447966, _447968, _447970] : [-(_447966 = set_intersection2(_447970, _447968)), 4781 ^ _284635 : [(4782 ^ _284635) ^ [] : [-(in(4770 ^ [_447966, _447968, _447970], _447970))], (4784 ^ _284635) ^ [] : [-(in(4770 ^ [_447966, _447968, _447970], _447968))], (4786 ^ _284635) ^ [] : [in(4770 ^ [_447966, _447968, _447970], _447966)]], 4773 ^ _284635 : [(4774 ^ _284635) ^ [] : [-(in(4770 ^ [_447966, _447968, _447970], _447966))], (4776 ^ _284635) ^ [] : [in(4770 ^ [_447966, _447968, _447970], _447970), in(4770 ^ [_447966, _447968, _447970], _447968)]]], (4747 ^ _284635) ^ [_447241, _447243, _447245] : [_447241 = set_intersection2(_447245, _447243), 4750 ^ _284635 : [(4751 ^ _284635) ^ [_447423] : [in(_447423, _447241), 4754 ^ _284635 : [(4755 ^ _284635) ^ [] : [-(in(_447423, _447245))], (4757 ^ _284635) ^ [] : [-(in(_447423, _447243))]]], (4759 ^ _284635) ^ [_447682] : [-(in(_447682, _447241)), in(_447682, _447245), in(_447682, _447243)]]], (4790 ^ _284635) ^ [_448705] : [relation(_448705), function(_448705), 4797 ^ _284635 : [(4798 ^ _284635) ^ [_448997, _448999] : [in(_448999, relation_dom(_448705)), 4801 ^ _284635 : [(4802 ^ _284635) ^ [] : [_448997 = apply(_448705, _448999), -(in(ordered_pair(_448999, _448997), _448705))], (4808 ^ _284635) ^ [] : [in(ordered_pair(_448999, _448997), _448705), -(_448997 = apply(_448705, _448999))]]], (4814 ^ _284635) ^ [_449449, _449451] : [-(in(_449451, relation_dom(_448705))), 4817 ^ _284635 : [(4818 ^ _284635) ^ [] : [_449449 = apply(_448705, _449451), -(_449449 = empty_set)], (4824 ^ _284635) ^ [] : [_449449 = empty_set, -(_449449 = apply(_448705, _449451))]]]]], (4830 ^ _284635) ^ [_449938] : [4841 ^ _284635 : [(4842 ^ _284635) ^ [_450245] : [element(_450245, the_carrier(poset_of_lattice(_449938))), -(cast_to_el_of_lattice(_449938, _450245) = _450245)]], -(empty_carrier(_449938)), lattice(_449938), latt_str(_449938)], (4848 ^ _284635) ^ [_450491] : [ordinal(_450491), 4851 ^ _284635 : [(4852 ^ _284635) ^ [] : [-(epsilon_transitive(_450491))], (4854 ^ _284635) ^ [] : [-(epsilon_connected(_450491))]]], (4856 ^ _284635) ^ [_450714] : [-(ordinal(_450714)), epsilon_transitive(_450714), epsilon_connected(_450714)], (4866 ^ _284635) ^ [_450985] : [relation(_450985), 4869 ^ _284635 : [(4887 ^ _284635) ^ [_451797] : [-(_451797 = relation_dom(_450985)), 4891 ^ _284635 : [(4892 ^ _284635) ^ [] : [-(in(4888 ^ [_450985, _451797], _451797))], (4894 ^ _284635) ^ [_452060] : [in(ordered_pair(4888 ^ [_450985, _451797], _452060), _450985)]], 4896 ^ _284635 : [(4897 ^ _284635) ^ [] : [-(in(ordered_pair(4888 ^ [_450985, _451797], 4895 ^ [_450985, _451797]), _450985))], (4899 ^ _284635) ^ [] : [in(4888 ^ [_450985, _451797], _451797)]]], (4870 ^ _284635) ^ [_451166] : [_451166 = relation_dom(_450985), 4873 ^ _284635 : [(4874 ^ _284635) ^ [_451346] : [in(_451346, _451166), -(in(ordered_pair(_451346, 4877 ^ [_450985, _451166, _451346]), _450985))], (4881 ^ _284635) ^ [_451590] : [4882 ^ _284635 : [(4883 ^ _284635) ^ [_451669] : [in(ordered_pair(_451590, _451669), _450985)]], -(in(_451590, _451166))]]]]], (4903 ^ _284635) ^ [_452426] : [relation(_452426), 4906 ^ _284635 : [(4929 ^ _284635) ^ [_453294] : [4932 ^ _284635 : [(4933 ^ _284635) ^ [] : [-(in(4930 ^ [_452426, _453294], _453294))], (4935 ^ _284635) ^ [] : [-(in(4931 ^ [_452426, _453294], _453294))], (4937 ^ _284635) ^ [] : [-(in(ordered_pair(4930 ^ [_452426, _453294], 4931 ^ [_452426, _453294]), _452426))], (4939 ^ _284635) ^ [] : [-(in(ordered_pair(4931 ^ [_452426, _453294], 4930 ^ [_452426, _453294]), _452426))], (4941 ^ _284635) ^ [] : [4930 ^ [_452426, _453294] = 4931 ^ [_452426, _453294]]], -(is_antisymmetric_in(_452426, _453294))], (4907 ^ _284635) ^ [_452626] : [is_antisymmetric_in(_452426, _452626), 4910 ^ _284635 : [(4911 ^ _284635) ^ [_452808, _452810] : [-(_452810 = _452808), in(_452810, _452626), in(_452808, _452626), in(ordered_pair(_452810, _452808), _452426), in(ordered_pair(_452808, _452810), _452426)]]]]], (4945 ^ _284635) ^ [_454048] : [-(cast_to_subset(_454048) = _454048)], (4970 ^ _284635) ^ [_455031, _455033] : [-(_455031 = union(_455033)), 4983 ^ _284635 : [(4984 ^ _284635) ^ [] : [-(in(4971 ^ [_455031, _455033], 4982 ^ [_455031, _455033]))], (4986 ^ _284635) ^ [] : [-(in(4982 ^ [_455031, _455033], _455033))], (4988 ^ _284635) ^ [] : [in(4971 ^ [_455031, _455033], _455031)]], 4974 ^ _284635 : [(4975 ^ _284635) ^ [] : [-(in(4971 ^ [_455031, _455033], _455031))], (4977 ^ _284635) ^ [_455314] : [in(4971 ^ [_455031, _455033], _455314), in(_455314, _455033)]]], (4947 ^ _284635) ^ [_454186, _454188] : [_454186 = union(_454188), 4950 ^ _284635 : [(4951 ^ _284635) ^ [_454367] : [in(_454367, _454186), 4955 ^ _284635 : [(4956 ^ _284635) ^ [] : [-(in(_454367, 4954 ^ [_454186, _454188, _454367]))], (4958 ^ _284635) ^ [] : [-(in(4954 ^ [_454186, _454188, _454367], _454188))]]], (4960 ^ _284635) ^ [_454694] : [-(in(_454694, _454186)), 4961 ^ _284635 : [(4962 ^ _284635) ^ [_454792] : [in(_454694, _454792), in(_454792, _454188)]]]]], (4992 ^ _284635) ^ [_455864] : [relation(_455864), 4995 ^ _284635 : [(4996 ^ _284635) ^ [] : [well_ordering(_455864), 4999 ^ _284635 : [(5000 ^ _284635) ^ [] : [-(reflexive(_455864))], (5002 ^ _284635) ^ [] : [-(transitive(_455864))], (5004 ^ _284635) ^ [] : [-(antisymmetric(_455864))], (5006 ^ _284635) ^ [] : [-(connected(_455864))], (5008 ^ _284635) ^ [] : [-(well_founded_relation(_455864))]]], (5010 ^ _284635) ^ [] : [-(well_ordering(_455864)), reflexive(_455864), transitive(_455864), antisymmetric(_455864), connected(_455864), well_founded_relation(_455864)]]], (5032 ^ _284635) ^ [_456922, _456924] : [equipotent(_456924, _456922), 5036 ^ _284635 : [(5037 ^ _284635) ^ [] : [-(relation(5035 ^ [_456922, _456924]))], (5039 ^ _284635) ^ [] : [-(function(5035 ^ [_456922, _456924]))], (5041 ^ _284635) ^ [] : [-(one_to_one(5035 ^ [_456922, _456924]))], (5043 ^ _284635) ^ [] : [-(relation_dom(5035 ^ [_456922, _456924]) = _456924)], (5045 ^ _284635) ^ [] : [-(relation_rng(5035 ^ [_456922, _456924]) = _456922)]]], (5047 ^ _284635) ^ [_457493, _457495] : [-(equipotent(_457495, _457493)), 5048 ^ _284635 : [(5049 ^ _284635) ^ [_457604] : [relation(_457604), function(_457604), one_to_one(_457604), relation_dom(_457604) = _457495, relation_rng(_457604) = _457493]]], (5091 ^ _284635) ^ [_458931, _458933, _458935] : [-(_458931 = set_difference(_458935, _458933)), 5103 ^ _284635 : [(5104 ^ _284635) ^ [] : [-(in(5092 ^ [_458931, _458933, _458935], _458935))], (5106 ^ _284635) ^ [] : [in(5092 ^ [_458931, _458933, _458935], _458933)], (5108 ^ _284635) ^ [] : [in(5092 ^ [_458931, _458933, _458935], _458931)]], 5095 ^ _284635 : [(5096 ^ _284635) ^ [] : [-(in(5092 ^ [_458931, _458933, _458935], _458931))], (5098 ^ _284635) ^ [] : [in(5092 ^ [_458931, _458933, _458935], _458935), -(in(5092 ^ [_458931, _458933, _458935], _458933))]]], (5069 ^ _284635) ^ [_458200, _458202, _458204] : [_458200 = set_difference(_458204, _458202), 5072 ^ _284635 : [(5073 ^ _284635) ^ [_458384] : [in(_458384, _458200), 5076 ^ _284635 : [(5077 ^ _284635) ^ [] : [-(in(_458384, _458204))], (5079 ^ _284635) ^ [] : [in(_458384, _458202)]]], (5081 ^ _284635) ^ [_458644] : [-(in(_458644, _458200)), in(_458644, _458204), -(in(_458644, _458202))]]], (5112 ^ _284635) ^ [_459674] : [rel_str(_459674), 5115 ^ _284635 : [(5116 ^ _284635) ^ [] : [lower_bounded_relstr(_459674), 5120 ^ _284635 : [(5121 ^ _284635) ^ [] : [-(element(5119 ^ [_459674], the_carrier(_459674)))], (5123 ^ _284635) ^ [] : [-(relstr_element_smaller(_459674, the_carrier(_459674), 5119 ^ [_459674]))]]], (5125 ^ _284635) ^ [] : [-(lower_bounded_relstr(_459674)), 5126 ^ _284635 : [(5127 ^ _284635) ^ [_460132] : [element(_460132, the_carrier(_459674)), relstr_element_smaller(_459674, the_carrier(_459674), _460132)]]]]], (5135 ^ _284635) ^ [_460394] : [relation(_460394), function(_460394), 5142 ^ _284635 : [(5166 ^ _284635) ^ [_461548] : [-(_461548 = relation_rng(_460394)), 5179 ^ _284635 : [(5180 ^ _284635) ^ [] : [-(in(5178 ^ [_460394, _461548], relation_dom(_460394)))], (5182 ^ _284635) ^ [] : [-(5167 ^ [_460394, _461548] = apply(_460394, 5178 ^ [_460394, _461548]))], (5184 ^ _284635) ^ [] : [in(5167 ^ [_460394, _461548], _461548)]], 5170 ^ _284635 : [(5171 ^ _284635) ^ [] : [-(in(5167 ^ [_460394, _461548], _461548))], (5173 ^ _284635) ^ [_461843] : [in(_461843, relation_dom(_460394)), 5167 ^ [_460394, _461548] = apply(_460394, _461843)]]], (5143 ^ _284635) ^ [_460666] : [_460666 = relation_rng(_460394), 5146 ^ _284635 : [(5147 ^ _284635) ^ [_460854] : [in(_460854, _460666), 5151 ^ _284635 : [(5152 ^ _284635) ^ [] : [-(in(5150 ^ [_460394, _460666, _460854], relation_dom(_460394)))], (5154 ^ _284635) ^ [] : [-(_460854 = apply(_460394, 5150 ^ [_460394, _460666, _460854]))]]], (5156 ^ _284635) ^ [_461196] : [-(in(_461196, _460666)), 5157 ^ _284635 : [(5158 ^ _284635) ^ [_461299] : [in(_461299, relation_dom(_460394)), _461196 = apply(_460394, _461299)]]]]]]], (5188 ^ _284635) ^ [_462420] : [rel_str(_462420), 5191 ^ _284635 : [(5192 ^ _284635) ^ [] : [transitive_relstr(_462420), -(is_transitive_in(the_InternalRel(_462420), the_carrier(_462420)))], (5198 ^ _284635) ^ [] : [is_transitive_in(the_InternalRel(_462420), the_carrier(_462420)), -(transitive_relstr(_462420))]]], (5204 ^ _284635) ^ [_462886] : [_462886 = omega, 5207 ^ _284635 : [(5208 ^ _284635) ^ [] : [-(in(empty_set, _462886))], (5210 ^ _284635) ^ [] : [-(being_limit_ordinal(_462886))], (5212 ^ _284635) ^ [] : [-(ordinal(_462886))], (5214 ^ _284635) ^ [_463235] : [ordinal(_463235), -(subset(_462886, _463235)), in(empty_set, _463235), being_limit_ordinal(_463235)]]], (5228 ^ _284635) ^ [_463584] : [-(_463584 = omega), in(empty_set, _463584), being_limit_ordinal(_463584), ordinal(_463584), 5242 ^ _284635 : [(5243 ^ _284635) ^ [] : [-(ordinal(5241 ^ [_463584]))], (5245 ^ _284635) ^ [] : [-(in(empty_set, 5241 ^ [_463584]))], (5247 ^ _284635) ^ [] : [-(being_limit_ordinal(5241 ^ [_463584]))], (5249 ^ _284635) ^ [] : [subset(_463584, 5241 ^ [_463584])]]], (5253 ^ _284635) ^ [_464324] : [top_str(_464324), 5256 ^ _284635 : [(5257 ^ _284635) ^ [_464467] : [element(_464467, powerset(the_carrier(_464324))), 5260 ^ _284635 : [(5261 ^ _284635) ^ [] : [open_subset(_464467, _464324), -(in(_464467, the_topology(_464324)))], (5267 ^ _284635) ^ [] : [in(_464467, the_topology(_464324)), -(open_subset(_464467, _464324))]]]]], (5273 ^ _284635) ^ [_464934] : [relation(_464934), 5276 ^ _284635 : [(5294 ^ _284635) ^ [_465746] : [-(_465746 = relation_rng(_464934)), 5298 ^ _284635 : [(5299 ^ _284635) ^ [] : [-(in(5295 ^ [_464934, _465746], _465746))], (5301 ^ _284635) ^ [_466009] : [in(ordered_pair(_466009, 5295 ^ [_464934, _465746]), _464934)]], 5303 ^ _284635 : [(5304 ^ _284635) ^ [] : [-(in(ordered_pair(5302 ^ [_464934, _465746], 5295 ^ [_464934, _465746]), _464934))], (5306 ^ _284635) ^ [] : [in(5295 ^ [_464934, _465746], _465746)]]], (5277 ^ _284635) ^ [_465115] : [_465115 = relation_rng(_464934), 5280 ^ _284635 : [(5281 ^ _284635) ^ [_465295] : [in(_465295, _465115), -(in(ordered_pair(5284 ^ [_464934, _465115, _465295], _465295), _464934))], (5288 ^ _284635) ^ [_465539] : [5289 ^ _284635 : [(5290 ^ _284635) ^ [_465618] : [in(ordered_pair(_465618, _465539), _464934)]], -(in(_465539, _465115))]]]]], (5310 ^ _284635) ^ [_466389, _466391] : [element(_466389, powerset(_466391)), -(subset_complement(_466391, _466389) = set_difference(_466391, _466389))], (5316 ^ _284635) ^ [_466600, _466602] : [-(ordered_pair(_466602, _466600) = unordered_pair(unordered_pair(_466602, _466600), singleton(_466602)))], (5318 ^ _284635) ^ [_466706] : [relation(_466706), 5321 ^ _284635 : [(5322 ^ _284635) ^ [_466890] : [well_orders(_466706, _466890), 5325 ^ _284635 : [(5326 ^ _284635) ^ [] : [-(is_reflexive_in(_466706, _466890))], (5328 ^ _284635) ^ [] : [-(is_transitive_in(_466706, _466890))], (5330 ^ _284635) ^ [] : [-(is_antisymmetric_in(_466706, _466890))], (5332 ^ _284635) ^ [] : [-(is_connected_in(_466706, _466890))], (5334 ^ _284635) ^ [] : [-(is_well_founded_in(_466706, _466890))]]], (5336 ^ _284635) ^ [_467351] : [-(well_orders(_466706, _467351)), is_reflexive_in(_466706, _467351), is_transitive_in(_466706, _467351), is_antisymmetric_in(_466706, _467351), is_connected_in(_466706, _467351), is_well_founded_in(_466706, _467351)]]], (5358 ^ _284635) ^ [_467912] : [rel_str(_467912), 5361 ^ _284635 : [(5362 ^ _284635) ^ [] : [antisymmetric_relstr(_467912), -(is_antisymmetric_in(the_InternalRel(_467912), the_carrier(_467912)))], (5368 ^ _284635) ^ [] : [is_antisymmetric_in(the_InternalRel(_467912), the_carrier(_467912)), -(antisymmetric_relstr(_467912))]]], (5374 ^ _284635) ^ [_468378] : [being_limit_ordinal(_468378), -(_468378 = union(_468378))], (5380 ^ _284635) ^ [_468536] : [_468536 = union(_468536), -(being_limit_ordinal(_468536))], (5386 ^ _284635) ^ [_468730] : [top_str(_468730), 5389 ^ _284635 : [(5390 ^ _284635) ^ [_468879] : [element(_468879, powerset(the_carrier(_468730))), 5393 ^ _284635 : [(5394 ^ _284635) ^ [] : [closed_subset(_468879, _468730), -(open_subset(subset_difference(the_carrier(_468730), cast_as_carrier_subset(_468730), _468879), _468730))], (5400 ^ _284635) ^ [] : [open_subset(subset_difference(the_carrier(_468730), cast_as_carrier_subset(_468730), _468879), _468730), -(closed_subset(_468879, _468730))]]]]], (5406 ^ _284635) ^ [_469364] : [relation(_469364), -(relation_field(_469364) = set_union2(relation_dom(_469364), relation_rng(_469364)))], (5412 ^ _284635) ^ [_469570] : [relation(_469570), 5415 ^ _284635 : [(5438 ^ _284635) ^ [_470462] : [5441 ^ _284635 : [(5442 ^ _284635) ^ [] : [-(in(5439 ^ [_469570, _470462], _470462))], (5444 ^ _284635) ^ [] : [-(in(5440 ^ [_469570, _470462], _470462))], (5446 ^ _284635) ^ [] : [5439 ^ [_469570, _470462] = 5440 ^ [_469570, _470462]], (5448 ^ _284635) ^ [] : [in(ordered_pair(5439 ^ [_469570, _470462], 5440 ^ [_469570, _470462]), _469570)], (5450 ^ _284635) ^ [] : [in(ordered_pair(5440 ^ [_469570, _470462], 5439 ^ [_469570, _470462]), _469570)]], -(is_connected_in(_469570, _470462))], (5416 ^ _284635) ^ [_469778] : [is_connected_in(_469570, _469778), 5419 ^ _284635 : [(5420 ^ _284635) ^ [_469968, _469970] : [in(_469970, _469778), in(_469968, _469778), -(_469970 = _469968), -(in(ordered_pair(_469970, _469968), _469570)), -(in(ordered_pair(_469968, _469970), _469570))]]]]], (5454 ^ _284635) ^ [_471247] : [relation(_471247), 5457 ^ _284635 : [(5458 ^ _284635) ^ [_471366] : [-(relation_restriction(_471247, _471366) = set_intersection2(_471247, cartesian_product2(_471366, _471366)))]]], (5460 ^ _284635) ^ [_471475] : [relation(_471475), 5463 ^ _284635 : [(5464 ^ _284635) ^ [_471635] : [relation(_471635), 5467 ^ _284635 : [(5484 ^ _284635) ^ [] : [-(_471635 = relation_inverse(_471475)), 5489 ^ _284635 : [(5490 ^ _284635) ^ [] : [-(in(ordered_pair(5485 ^ [_471475, _471635], 5486 ^ [_471475, _471635]), _471635))], (5492 ^ _284635) ^ [] : [in(ordered_pair(5486 ^ [_471475, _471635], 5485 ^ [_471475, _471635]), _471475)]], 5493 ^ _284635 : [(5494 ^ _284635) ^ [] : [-(in(ordered_pair(5486 ^ [_471475, _471635], 5485 ^ [_471475, _471635]), _471475))], (5496 ^ _284635) ^ [] : [in(ordered_pair(5485 ^ [_471475, _471635], 5486 ^ [_471475, _471635]), _471635)]]], (5468 ^ _284635) ^ [] : [_471635 = relation_inverse(_471475), 5471 ^ _284635 : [(5472 ^ _284635) ^ [_471944, _471946] : [in(ordered_pair(_471946, _471944), _471635), -(in(ordered_pair(_471944, _471946), _471475))], (5478 ^ _284635) ^ [_472134, _472136] : [in(ordered_pair(_472134, _472136), _471475), -(in(ordered_pair(_472136, _472134), _471635))]]]]]]], (5500 ^ _284635) ^ [_472939] : [relation(_472939), 5503 ^ _284635 : [(5504 ^ _284635) ^ [_473160] : [relation(_473160), 5507 ^ _284635 : [(5508 ^ _284635) ^ [_473377] : [relation(_473377), function(_473377), 5515 ^ _284635 : [(5550 ^ _284635) ^ [] : [-(relation_isomorphism(_472939, _473160, _473377)), relation_dom(_473377) = relation_field(_472939), relation_rng(_473377) = relation_field(_473160), one_to_one(_473377), 5579 ^ _284635 : [(5580 ^ _284635) ^ [] : [-(in(5563 ^ [_472939, _473160, _473377], relation_field(_472939)))], (5582 ^ _284635) ^ [] : [-(in(5564 ^ [_472939, _473160, _473377], relation_field(_472939)))], (5584 ^ _284635) ^ [] : [-(in(ordered_pair(apply(_473377, 5563 ^ [_472939, _473160, _473377]), apply(_473377, 5564 ^ [_472939, _473160, _473377])), _473160))], (5586 ^ _284635) ^ [] : [in(ordered_pair(5563 ^ [_472939, _473160, _473377], 5564 ^ [_472939, _473160, _473377]), _472939)]], 5567 ^ _284635 : [(5568 ^ _284635) ^ [] : [-(in(ordered_pair(5563 ^ [_472939, _473160, _473377], 5564 ^ [_472939, _473160, _473377]), _472939))], (5570 ^ _284635) ^ [] : [in(5563 ^ [_472939, _473160, _473377], relation_field(_472939)), in(5564 ^ [_472939, _473160, _473377], relation_field(_472939)), in(ordered_pair(apply(_473377, 5563 ^ [_472939, _473160, _473377]), apply(_473377, 5564 ^ [_472939, _473160, _473377])), _473160)]]], (5516 ^ _284635) ^ [] : [relation_isomorphism(_472939, _473160, _473377), 5519 ^ _284635 : [(5520 ^ _284635) ^ [] : [-(relation_dom(_473377) = relation_field(_472939))], (5522 ^ _284635) ^ [] : [-(relation_rng(_473377) = relation_field(_473160))], (5524 ^ _284635) ^ [] : [-(one_to_one(_473377))], (5526 ^ _284635) ^ [_474043, _474045] : [in(ordered_pair(_474045, _474043), _472939), 5529 ^ _284635 : [(5530 ^ _284635) ^ [] : [-(in(_474045, relation_field(_472939)))], (5532 ^ _284635) ^ [] : [-(in(_474043, relation_field(_472939)))], (5534 ^ _284635) ^ [] : [-(in(ordered_pair(apply(_473377, _474045), apply(_473377, _474043)), _473160))]]], (5536 ^ _284635) ^ [_474422, _474424] : [-(in(ordered_pair(_474424, _474422), _472939)), in(_474424, relation_field(_472939)), in(_474422, relation_field(_472939)), in(ordered_pair(apply(_473377, _474424), apply(_473377, _474422)), _473160)]]]]]]]]], (5590 ^ _284635) ^ [_476249, _476251] : [disjoint(_476251, _476249), -(set_intersection2(_476251, _476249) = empty_set)], (5596 ^ _284635) ^ [_476417, _476419] : [set_intersection2(_476419, _476417) = empty_set, -(disjoint(_476419, _476417))], (5602 ^ _284635) ^ [_476621] : [rel_str(_476621), 5605 ^ _284635 : [(5644 ^ _284635) ^ [_478348] : [-(ex_sup_of_relstr_set(_476621, _478348)), 5645 ^ _284635 : [(5646 ^ _284635) ^ [_478525] : [element(_478525, the_carrier(_476621)), relstr_set_smaller(_476621, _478348, _478525), 5656 ^ _284635 : [(5657 ^ _284635) ^ [] : [-(element(5655 ^ [_476621, _478348, _478525], the_carrier(_476621)))], (5659 ^ _284635) ^ [] : [-(relstr_set_smaller(_476621, _478348, 5655 ^ [_476621, _478348, _478525]))], (5661 ^ _284635) ^ [] : [related(_476621, _478525, 5655 ^ [_476621, _478348, _478525])]], 5663 ^ _284635 : [(5664 ^ _284635) ^ [] : [-(element(5662 ^ [_476621, _478348, _478525], the_carrier(_476621)))], (5678 ^ _284635) ^ [] : [5662 ^ [_476621, _478348, _478525] = _478525], (5666 ^ _284635) ^ [] : [-(relstr_set_smaller(_476621, _478348, 5662 ^ [_476621, _478348, _478525]))], (5668 ^ _284635) ^ [_479415] : [element(_479415, the_carrier(_476621)), relstr_set_smaller(_476621, _478348, _479415), -(related(_476621, 5662 ^ [_476621, _478348, _478525], _479415))]]]]], (5606 ^ _284635) ^ [_476875] : [ex_sup_of_relstr_set(_476621, _476875), 5610 ^ _284635 : [(5611 ^ _284635) ^ [] : [-(element(5609 ^ [_476621, _476875], the_carrier(_476621)))], (5613 ^ _284635) ^ [] : [-(relstr_set_smaller(_476621, _476875, 5609 ^ [_476621, _476875]))], (5615 ^ _284635) ^ [_477400] : [element(_477400, the_carrier(_476621)), relstr_set_smaller(_476621, _476875, _477400), -(related(_476621, 5609 ^ [_476621, _476875], _477400))], (5625 ^ _284635) ^ [_477701] : [element(_477701, the_carrier(_476621)), -(_477701 = 5609 ^ [_476621, _476875]), relstr_set_smaller(_476621, _476875, _477701), 5635 ^ _284635 : [(5636 ^ _284635) ^ [] : [-(element(5634 ^ [_476621, _476875, _477701], the_carrier(_476621)))], (5638 ^ _284635) ^ [] : [-(relstr_set_smaller(_476621, _476875, 5634 ^ [_476621, _476875, _477701]))], (5640 ^ _284635) ^ [] : [related(_476621, _477701, 5634 ^ [_476621, _476875, _477701])]]]]]]], (5682 ^ _284635) ^ [_479886] : [-(relation_of_lattice(_479886) = a_1_0_filter_1(_479886)), -(empty_carrier(_479886)), lattice(_479886), latt_str(_479886)], (5696 ^ _284635) ^ [_480251] : [relation(_480251), function(_480251), 5703 ^ _284635 : [(5722 ^ _284635) ^ [] : [5725 ^ _284635 : [(5726 ^ _284635) ^ [] : [-(in(5723 ^ [_480251], relation_dom(_480251)))], (5728 ^ _284635) ^ [] : [-(in(5724 ^ [_480251], relation_dom(_480251)))], (5730 ^ _284635) ^ [] : [-(apply(_480251, 5723 ^ [_480251]) = apply(_480251, 5724 ^ [_480251]))], (5732 ^ _284635) ^ [] : [5723 ^ [_480251] = 5724 ^ [_480251]]], -(one_to_one(_480251))], (5704 ^ _284635) ^ [] : [one_to_one(_480251), 5707 ^ _284635 : [(5708 ^ _284635) ^ [_480614, _480616] : [-(_480616 = _480614), in(_480616, relation_dom(_480251)), in(_480614, relation_dom(_480251)), apply(_480251, _480616) = apply(_480251, _480614)]]]]], (5736 ^ _284635) ^ [_481561] : [rel_str(_481561), 5739 ^ _284635 : [(5740 ^ _284635) ^ [_481740, _481742] : [element(_481740, the_carrier(_481561)), 5743 ^ _284635 : [(5758 ^ _284635) ^ [] : [5760 ^ _284635 : [(5761 ^ _284635) ^ [] : [-(element(5759 ^ [_481561, _481740, _481742], the_carrier(_481561)))], (5763 ^ _284635) ^ [] : [-(in(5759 ^ [_481561, _481740, _481742], _481742))], (5765 ^ _284635) ^ [] : [related(_481561, _481740, 5759 ^ [_481561, _481740, _481742])]], -(relstr_element_smaller(_481561, _481742, _481740))], (5744 ^ _284635) ^ [] : [relstr_element_smaller(_481561, _481742, _481740), 5747 ^ _284635 : [(5748 ^ _284635) ^ [_482016] : [element(_482016, the_carrier(_481561)), in(_482016, _481742), -(related(_481561, _481740, _482016))]]]]]]], (5769 ^ _284635) ^ [_482721] : [-(empty_carrier(_482721)), latt_str(_482721), 5776 ^ _284635 : [(5791 ^ _284635) ^ [] : [5793 ^ _284635 : [(5794 ^ _284635) ^ [] : [-(element(5792 ^ [_482721], the_carrier(_482721)))], (5797 ^ _284635) ^ [] : [-(element(5795 ^ [_482721], the_carrier(_482721)))], (5799 ^ _284635) ^ [] : [join(_482721, meet(_482721, 5792 ^ [_482721], 5795 ^ [_482721]), 5795 ^ [_482721]) = 5795 ^ [_482721]]], -(meet_absorbing(_482721))], (5777 ^ _284635) ^ [] : [meet_absorbing(_482721), 5780 ^ _284635 : [(5781 ^ _284635) ^ [_483069] : [element(_483069, the_carrier(_482721)), 5784 ^ _284635 : [(5785 ^ _284635) ^ [_483222] : [element(_483222, the_carrier(_482721)), -(join(_482721, meet(_482721, _483069, _483222), _483222) = _483222)]]]]]]], (5803 ^ _284635) ^ [_483896] : [one_sorted_str(_483896), 5806 ^ _284635 : [(5807 ^ _284635) ^ [_484046] : [element(_484046, powerset(powerset(the_carrier(_483896)))), 5810 ^ _284635 : [(5811 ^ _284635) ^ [] : [is_a_cover_of_carrier(_483896, _484046), -(cast_as_carrier_subset(_483896) = union_of_subsets(the_carrier(_483896), _484046))], (5817 ^ _284635) ^ [] : [cast_as_carrier_subset(_483896) = union_of_subsets(the_carrier(_483896), _484046), -(is_a_cover_of_carrier(_483896, _484046))]]]]], (5823 ^ _284635) ^ [_484532] : [relation(_484532), 5826 ^ _284635 : [(5827 ^ _284635) ^ [_484717] : [relation(_484717), 5830 ^ _284635 : [(5831 ^ _284635) ^ [_484898] : [relation(_484898), 5834 ^ _284635 : [(5858 ^ _284635) ^ [] : [-(_484898 = relation_composition(_484532, _484717)), 5872 ^ _284635 : [(5873 ^ _284635) ^ [] : [-(in(ordered_pair(5859 ^ [_484532, _484717, _484898], 5871 ^ [_484532, _484717, _484898]), _484532))], (5875 ^ _284635) ^ [] : [-(in(ordered_pair(5871 ^ [_484532, _484717, _484898], 5860 ^ [_484532, _484717, _484898]), _484717))], (5877 ^ _284635) ^ [] : [in(ordered_pair(5859 ^ [_484532, _484717, _484898], 5860 ^ [_484532, _484717, _484898]), _484898)]], 5863 ^ _284635 : [(5864 ^ _284635) ^ [] : [-(in(ordered_pair(5859 ^ [_484532, _484717, _484898], 5860 ^ [_484532, _484717, _484898]), _484898))], (5866 ^ _284635) ^ [_486362] : [in(ordered_pair(5859 ^ [_484532, _484717, _484898], _486362), _484532), in(ordered_pair(_486362, 5860 ^ [_484532, _484717, _484898]), _484717)]]], (5835 ^ _284635) ^ [] : [_484898 = relation_composition(_484532, _484717), 5838 ^ _284635 : [(5839 ^ _284635) ^ [_485233, _485235] : [in(ordered_pair(_485235, _485233), _484898), 5843 ^ _284635 : [(5844 ^ _284635) ^ [] : [-(in(ordered_pair(_485235, 5842 ^ [_484532, _484717, _484898, _485233, _485235]), _484532))], (5846 ^ _284635) ^ [] : [-(in(ordered_pair(5842 ^ [_484532, _484717, _484898, _485233, _485235], _485233), _484717))]]], (5848 ^ _284635) ^ [_485618, _485620] : [-(in(ordered_pair(_485620, _485618), _484898)), 5849 ^ _284635 : [(5850 ^ _284635) ^ [_485731] : [in(ordered_pair(_485620, _485731), _484532), in(ordered_pair(_485731, _485618), _484717)]]]]]]]]]]], (5881 ^ _284635) ^ [_487034] : [relation(_487034), 5884 ^ _284635 : [(5911 ^ _284635) ^ [_488069] : [5915 ^ _284635 : [(5916 ^ _284635) ^ [] : [-(in(5912 ^ [_487034, _488069], _488069))], (5918 ^ _284635) ^ [] : [-(in(5913 ^ [_487034, _488069], _488069))], (5920 ^ _284635) ^ [] : [-(in(5914 ^ [_487034, _488069], _488069))], (5922 ^ _284635) ^ [] : [-(in(ordered_pair(5912 ^ [_487034, _488069], 5913 ^ [_487034, _488069]), _487034))], (5924 ^ _284635) ^ [] : [-(in(ordered_pair(5913 ^ [_487034, _488069], 5914 ^ [_487034, _488069]), _487034))], (5926 ^ _284635) ^ [] : [in(ordered_pair(5912 ^ [_487034, _488069], 5914 ^ [_487034, _488069]), _487034)]], -(is_transitive_in(_487034, _488069))], (5885 ^ _284635) ^ [_487248] : [is_transitive_in(_487034, _487248), 5888 ^ _284635 : [(5889 ^ _284635) ^ [_487458, _487460, _487462] : [-(in(ordered_pair(_487462, _487458), _487034)), in(_487462, _487248), in(_487460, _487248), in(_487458, _487248), in(ordered_pair(_487462, _487460), _487034), in(ordered_pair(_487460, _487458), _487034)]]]]], (5930 ^ _284635) ^ [_489093, _489095] : [element(_489093, powerset(powerset(_489095))), 5933 ^ _284635 : [(5934 ^ _284635) ^ [_489273] : [element(_489273, powerset(powerset(_489095))), 5937 ^ _284635 : [(5958 ^ _284635) ^ [] : [-(_489273 = complements_of_subsets(_489095, _489093)), 5960 ^ _284635 : [(5961 ^ _284635) ^ [] : [-(element(5959 ^ [_489093, _489095, _489273], powerset(_489095)))], (5963 ^ _284635) ^ [] : [5964 ^ _284635 : [(5965 ^ _284635) ^ [] : [-(in(5959 ^ [_489093, _489095, _489273], _489273))], (5967 ^ _284635) ^ [] : [in(subset_complement(_489095, 5959 ^ [_489093, _489095, _489273]), _489093)]], 5968 ^ _284635 : [(5969 ^ _284635) ^ [] : [-(in(subset_complement(_489095, 5959 ^ [_489093, _489095, _489273]), _489093))], (5971 ^ _284635) ^ [] : [in(5959 ^ [_489093, _489095, _489273], _489273)]]]]], (5938 ^ _284635) ^ [] : [_489273 = complements_of_subsets(_489095, _489093), 5941 ^ _284635 : [(5942 ^ _284635) ^ [_489561] : [element(_489561, powerset(_489095)), 5945 ^ _284635 : [(5946 ^ _284635) ^ [] : [in(_489561, _489273), -(in(subset_complement(_489095, _489561), _489093))], (5952 ^ _284635) ^ [] : [in(subset_complement(_489095, _489561), _489093), -(in(_489561, _489273))]]]]]]]]], (5975 ^ _284635) ^ [_490684, _490686] : [proper_subset(_490686, _490684), 5978 ^ _284635 : [(5979 ^ _284635) ^ [] : [-(subset(_490686, _490684))], (5981 ^ _284635) ^ [] : [_490686 = _490684]]], (5983 ^ _284635) ^ [_490922, _490924] : [-(proper_subset(_490924, _490922)), subset(_490924, _490922), -(_490924 = _490922)], (5993 ^ _284635) ^ [_491212] : [rel_str(_491212), 5996 ^ _284635 : [(6035 ^ _284635) ^ [_492939] : [-(ex_inf_of_relstr_set(_491212, _492939)), 6036 ^ _284635 : [(6037 ^ _284635) ^ [_493116] : [element(_493116, the_carrier(_491212)), relstr_element_smaller(_491212, _492939, _493116), 6047 ^ _284635 : [(6048 ^ _284635) ^ [] : [-(element(6046 ^ [_491212, _492939, _493116], the_carrier(_491212)))], (6050 ^ _284635) ^ [] : [-(relstr_element_smaller(_491212, _492939, 6046 ^ [_491212, _492939, _493116]))], (6052 ^ _284635) ^ [] : [related(_491212, 6046 ^ [_491212, _492939, _493116], _493116)]], 6054 ^ _284635 : [(6055 ^ _284635) ^ [] : [-(element(6053 ^ [_491212, _492939, _493116], the_carrier(_491212)))], (6069 ^ _284635) ^ [] : [6053 ^ [_491212, _492939, _493116] = _493116], (6057 ^ _284635) ^ [] : [-(relstr_element_smaller(_491212, _492939, 6053 ^ [_491212, _492939, _493116]))], (6059 ^ _284635) ^ [_494006] : [element(_494006, the_carrier(_491212)), relstr_element_smaller(_491212, _492939, _494006), -(related(_491212, _494006, 6053 ^ [_491212, _492939, _493116]))]]]]], (5997 ^ _284635) ^ [_491466] : [ex_inf_of_relstr_set(_491212, _491466), 6001 ^ _284635 : [(6002 ^ _284635) ^ [] : [-(element(6000 ^ [_491212, _491466], the_carrier(_491212)))], (6004 ^ _284635) ^ [] : [-(relstr_element_smaller(_491212, _491466, 6000 ^ [_491212, _491466]))], (6006 ^ _284635) ^ [_491991] : [element(_491991, the_carrier(_491212)), relstr_element_smaller(_491212, _491466, _491991), -(related(_491212, _491991, 6000 ^ [_491212, _491466]))], (6016 ^ _284635) ^ [_492292] : [element(_492292, the_carrier(_491212)), -(_492292 = 6000 ^ [_491212, _491466]), relstr_element_smaller(_491212, _491466, _492292), 6026 ^ _284635 : [(6027 ^ _284635) ^ [] : [-(element(6025 ^ [_491212, _491466, _492292], the_carrier(_491212)))], (6029 ^ _284635) ^ [] : [-(relstr_element_smaller(_491212, _491466, 6025 ^ [_491212, _491466, _492292]))], (6031 ^ _284635) ^ [] : [related(_491212, 6025 ^ [_491212, _491466, _492292], _492292)]]]]]]], (6073 ^ _284635) ^ [_494477] : [relation(_494477), function(_494477), one_to_one(_494477), -(function_inverse(_494477) = relation_inverse(_494477))], (6087 ^ _284635) ^ [_494841] : [rel_str(_494841), 6090 ^ _284635 : [(6091 ^ _284635) ^ [_495020, _495022] : [element(_495020, the_carrier(_494841)), 6094 ^ _284635 : [(6109 ^ _284635) ^ [] : [6111 ^ _284635 : [(6112 ^ _284635) ^ [] : [-(element(6110 ^ [_494841, _495020, _495022], the_carrier(_494841)))], (6114 ^ _284635) ^ [] : [-(in(6110 ^ [_494841, _495020, _495022], _495022))], (6116 ^ _284635) ^ [] : [related(_494841, 6110 ^ [_494841, _495020, _495022], _495020)]], -(relstr_set_smaller(_494841, _495022, _495020))], (6095 ^ _284635) ^ [] : [relstr_set_smaller(_494841, _495022, _495020), 6098 ^ _284635 : [(6099 ^ _284635) ^ [_495296] : [element(_495296, the_carrier(_494841)), in(_495296, _495022), -(related(_494841, _495296, _495020))]]]]]]], (6120 ^ _284635) ^ [_496001] : [rel_str(_496001), 6123 ^ _284635 : [(6124 ^ _284635) ^ [_496159] : [element(_496159, the_carrier(_496001)), 6127 ^ _284635 : [(6128 ^ _284635) ^ [_496316] : [element(_496316, the_carrier(_496001)), 6131 ^ _284635 : [(6132 ^ _284635) ^ [] : [related(_496001, _496159, _496316), -(in(ordered_pair(_496159, _496316), the_InternalRel(_496001)))], (6138 ^ _284635) ^ [] : [in(ordered_pair(_496159, _496316), the_InternalRel(_496001)), -(related(_496001, _496159, _496316))]]]]]]], (6144 ^ _284635) ^ [_496814] : [relation(_496814), 6147 ^ _284635 : [(6148 ^ _284635) ^ [] : [reflexive(_496814), -(is_reflexive_in(_496814, relation_field(_496814)))], (6154 ^ _284635) ^ [] : [is_reflexive_in(_496814, relation_field(_496814)), -(reflexive(_496814))]]], (6160 ^ _284635) ^ [_497245] : [rel_str(_497245), 6163 ^ _284635 : [(6164 ^ _284635) ^ [_497440, _497442] : [element(_497440, the_carrier(_497245)), ex_sup_of_relstr_set(_497245, _497442), 6171 ^ _284635 : [(6188 ^ _284635) ^ [] : [-(_497440 = join_on_relstr(_497245, _497442)), relstr_set_smaller(_497245, _497442, _497440), 6194 ^ _284635 : [(6195 ^ _284635) ^ [] : [-(element(6193 ^ [_497245, _497440, _497442], the_carrier(_497245)))], (6197 ^ _284635) ^ [] : [-(relstr_set_smaller(_497245, _497442, 6193 ^ [_497245, _497440, _497442]))], (6199 ^ _284635) ^ [] : [related(_497245, _497440, 6193 ^ [_497245, _497440, _497442])]]], (6172 ^ _284635) ^ [] : [_497440 = join_on_relstr(_497245, _497442), 6175 ^ _284635 : [(6176 ^ _284635) ^ [] : [-(relstr_set_smaller(_497245, _497442, _497440))], (6178 ^ _284635) ^ [_497886] : [element(_497886, the_carrier(_497245)), relstr_set_smaller(_497245, _497442, _497886), -(related(_497245, _497440, _497886))]]]]]]], (6203 ^ _284635) ^ [_498705, _498707] : [relation_of2(_498705, _498707, _498707), 6206 ^ _284635 : [(6207 ^ _284635) ^ [] : [-(strict_rel_str(rel_str_of(_498707, _498705)))], (6209 ^ _284635) ^ [] : [-(rel_str(rel_str_of(_498707, _498705)))]]], (6211 ^ _284635) ^ [_499014, _499016, _499018] : [6234 ^ _284635 : [(6235 ^ _284635) ^ [] : [-(strict_latt_str(latt_str_of(_499018, _499016, _499014)))], (6237 ^ _284635) ^ [] : [-(latt_str(latt_str_of(_499018, _499016, _499014)))]], function(_499016), quasi_total(_499016, cartesian_product2(_499018, _499018), _499018), relation_of2(_499016, cartesian_product2(_499018, _499018), _499018), function(_499014), quasi_total(_499014, cartesian_product2(_499018, _499018), _499018), relation_of2(_499014, cartesian_product2(_499018, _499018), _499018)], (6239 ^ _284635) ^ [_499840, _499842, _499844, _499846] : [-(element(k10_filter_1(_499846, _499844, _499842, _499840), the_carrier(k8_filter_1(_499846, _499844)))), -(empty_carrier(_499846)), lattice(_499846), latt_str(_499846), -(empty_carrier(_499844)), lattice(_499844), latt_str(_499844), element(_499842, the_carrier(_499846)), element(_499840, the_carrier(_499844))], (6273 ^ _284635) ^ [] : [true___, -(true___)], (6279 ^ _284635) ^ [_500882, _500884] : [-(element(join_of_latt_set(_500884, _500882), the_carrier(_500884))), -(empty_carrier(_500884)), latt_str(_500884)], (6289 ^ _284635) ^ [_501190, _501192] : [-(element(meet_of_latt_set(_501192, _501190), the_carrier(_501192))), -(empty_carrier(_501192)), latt_str(_501192)], (6299 ^ _284635) ^ [] : [true___, -(true___)], (6305 ^ _284635) ^ [_501645, _501647, _501649, _501651] : [-(element(ordered_pair_as_product_element(_501651, _501649, _501647, _501645), cartesian_product2(_501651, _501649))), -(empty(_501651)), -(empty(_501649)), element(_501647, _501651), element(_501645, _501649)], (6323 ^ _284635) ^ [] : [true___, -(true___)], (6329 ^ _284635) ^ [] : [true___, -(true___)], (6335 ^ _284635) ^ [_502405] : [-(strict_latt_str(boole_lattice(_502405)))], (6337 ^ _284635) ^ [_502450] : [-(latt_str(boole_lattice(_502450)))], (6339 ^ _284635) ^ [_502574, _502576, _502578] : [-(element(join(_502578, _502576, _502574), the_carrier(_502578))), -(empty_carrier(_502578)), join_semilatt_str(_502578), element(_502576, the_carrier(_502578)), element(_502574, the_carrier(_502578))], (6357 ^ _284635) ^ [] : [true___, -(true___)], (6363 ^ _284635) ^ [] : [true___, -(true___)], (6369 ^ _284635) ^ [_503297] : [-(element(k1_pcomps_1(_503297), powerset(powerset(_503297))))], (6371 ^ _284635) ^ [_503396] : [one_sorted_str(_503396), -(element(empty_carrier_subset(_503396), powerset(the_carrier(_503396))))], (6377 ^ _284635) ^ [] : [true___, -(true___)], (6383 ^ _284635) ^ [] : [true___, -(true___)], (6389 ^ _284635) ^ [] : [true___, -(true___)], (6395 ^ _284635) ^ [_503967, _503969] : [-(element(interior(_503969, _503967), powerset(the_carrier(_503969)))), top_str(_503969), element(_503967, powerset(the_carrier(_503969)))], (6405 ^ _284635) ^ [] : [true___, -(true___)], (6411 ^ _284635) ^ [_504376] : [-(relation(inclusion_relation(_504376)))], (6413 ^ _284635) ^ [] : [true___, -(true___)], (6419 ^ _284635) ^ [_504603, _504605] : [rel_str(_504605), -(element(join_on_relstr(_504605, _504603), the_carrier(_504605)))], (6425 ^ _284635) ^ [] : [true___, -(true___)], (6431 ^ _284635) ^ [_504996, _504998, _505000, _505002, _505004, _505006] : [-(element(apply_binary_as_element(_505006, _505004, _505002, _505000, _504998, _504996), _505002)), -(empty(_505006)), -(empty(_505004)), function(_505000), quasi_total(_505000, cartesian_product2(_505006, _505004), _505002), relation_of2(_505000, cartesian_product2(_505006, _505004), _505002), element(_504998, _505006), element(_504996, _505004)], (6461 ^ _284635) ^ [_505876] : [6468 ^ _284635 : [(6469 ^ _284635) ^ [] : [-(relation(function_inverse(_505876)))], (6471 ^ _284635) ^ [] : [-(function(function_inverse(_505876)))]], relation(_505876), function(_505876)], (6473 ^ _284635) ^ [_506224] : [6484 ^ _284635 : [(6485 ^ _284635) ^ [] : [-(reflexive(k2_lattice3(_506224)))], (6487 ^ _284635) ^ [] : [-(antisymmetric(k2_lattice3(_506224)))], (6489 ^ _284635) ^ [] : [-(transitive(k2_lattice3(_506224)))], (6491 ^ _284635) ^ [] : [-(v1_partfun1(k2_lattice3(_506224), the_carrier(_506224), the_carrier(_506224)))], (6493 ^ _284635) ^ [] : [-(relation_of2_as_subset(k2_lattice3(_506224), the_carrier(_506224), the_carrier(_506224)))]], -(empty_carrier(_506224)), lattice(_506224), latt_str(_506224)], (6495 ^ _284635) ^ [_506932, _506934, _506936] : [-(element(meet(_506936, _506934, _506932), the_carrier(_506936))), -(empty_carrier(_506936)), meet_semilatt_str(_506936), element(_506934, the_carrier(_506936)), element(_506932, the_carrier(_506936))], (6513 ^ _284635) ^ [] : [true___, -(true___)], (6519 ^ _284635) ^ [_507551] : [one_sorted_str(_507551), -(element(cast_as_carrier_subset(_507551), powerset(the_carrier(_507551))))], (6525 ^ _284635) ^ [] : [true___, -(true___)], (6531 ^ _284635) ^ [_507855] : [-(element(cast_to_subset(_507855), powerset(_507855)))], (6533 ^ _284635) ^ [] : [true___, -(true___)], (6539 ^ _284635) ^ [_508085, _508087] : [relation(_508087), -(relation(relation_restriction(_508087, _508085)))], (6545 ^ _284635) ^ [] : [true___, -(true___)], (6551 ^ _284635) ^ [_508416, _508418] : [rel_str(_508418), -(element(meet_on_relstr(_508418, _508416), the_carrier(_508418)))], (6557 ^ _284635) ^ [] : [true___, -(true___)], (6563 ^ _284635) ^ [_508739] : [6574 ^ _284635 : [(6575 ^ _284635) ^ [] : [-(strict_rel_str(poset_of_lattice(_508739)))], (6577 ^ _284635) ^ [] : [-(reflexive_relstr(poset_of_lattice(_508739)))], (6579 ^ _284635) ^ [] : [-(transitive_relstr(poset_of_lattice(_508739)))], (6581 ^ _284635) ^ [] : [-(antisymmetric_relstr(poset_of_lattice(_508739)))], (6583 ^ _284635) ^ [] : [-(rel_str(poset_of_lattice(_508739)))]], -(empty_carrier(_508739)), lattice(_508739), latt_str(_508739)], (6585 ^ _284635) ^ [_509423, _509425, _509427] : [-(element(join_commut(_509427, _509425, _509423), the_carrier(_509427))), -(empty_carrier(_509427)), join_commutative(_509427), join_semilatt_str(_509427), element(_509425, the_carrier(_509427)), element(_509423, the_carrier(_509427))], (6607 ^ _284635) ^ [] : [true___, -(true___)], (6613 ^ _284635) ^ [_510147, _510149] : [element(_510147, powerset(_510149)), -(element(subset_complement(_510149, _510147), powerset(_510149)))], (6619 ^ _284635) ^ [] : [true___, -(true___)], (6625 ^ _284635) ^ [] : [true___, -(true___)], (6631 ^ _284635) ^ [_510595] : [rel_str(_510595), -(element(bottom_of_relstr(_510595), the_carrier(_510595)))], (6637 ^ _284635) ^ [_510805, _510807] : [-(element(cast_to_el_of_LattPOSet(_510807, _510805), the_carrier(poset_of_lattice(_510807)))), -(empty_carrier(_510807)), lattice(_510807), latt_str(_510807), element(_510805, the_carrier(_510807))], (6655 ^ _284635) ^ [_511311, _511313, _511315] : [-(element(meet_commut(_511315, _511313, _511311), the_carrier(_511315))), -(empty_carrier(_511315)), meet_commutative(_511315), meet_semilatt_str(_511315), element(_511313, the_carrier(_511315)), element(_511311, the_carrier(_511315))], (6677 ^ _284635) ^ [_511902] : [relation(_511902), -(relation(relation_inverse(_511902)))], (6683 ^ _284635) ^ [_512120, _512122, _512124] : [relation_of2(_512120, _512124, _512122), -(element(relation_dom_as_subset(_512124, _512122, _512120), powerset(_512124)))], (6689 ^ _284635) ^ [_512364, _512366, _512368] : [-(element(subset_union2(_512368, _512366, _512364), powerset(_512368))), element(_512366, powerset(_512368)), element(_512364, powerset(_512368))], (6699 ^ _284635) ^ [] : [true___, -(true___)], (6705 ^ _284635) ^ [] : [true___, -(true___)], (6711 ^ _284635) ^ [_512931, _512933] : [-(element(cast_to_el_of_lattice(_512933, _512931), the_carrier(_512933))), -(empty_carrier(_512933)), lattice(_512933), latt_str(_512933), element(_512931, the_carrier(poset_of_lattice(_512933)))], (6729 ^ _284635) ^ [_513409] : [-(element(bottom_of_semilattstr(_513409), the_carrier(_513409))), -(empty_carrier(_513409)), meet_semilatt_str(_513409)], (6739 ^ _284635) ^ [] : [true___, -(true___)], (6745 ^ _284635) ^ [_513824, _513826] : [-(relation(relation_composition(_513826, _513824))), relation(_513826), relation(_513824)], (6755 ^ _284635) ^ [_514137, _514139, _514141] : [relation_of2(_514137, _514141, _514139), -(element(relation_rng_as_subset(_514141, _514139, _514137), powerset(_514139)))], (6761 ^ _284635) ^ [_514367, _514369] : [element(_514367, powerset(powerset(_514369))), -(element(union_of_subsets(_514369, _514367), powerset(_514369)))], (6767 ^ _284635) ^ [_514609, _514611, _514613] : [-(element(subset_intersection2(_514613, _514611, _514609), powerset(_514613))), element(_514611, powerset(_514613)), element(_514609, powerset(_514613))], (6777 ^ _284635) ^ [_514929] : [-(v1_partfun1(identity_as_relation_of(_514929), _514929, _514929))], (6779 ^ _284635) ^ [_514976] : [-(relation_of2_as_subset(identity_as_relation_of(_514976), _514976, _514976))], (6781 ^ _284635) ^ [_515088, _515090] : [-(element(topstr_closure(_515090, _515088), powerset(the_carrier(_515090)))), top_str(_515090), element(_515088, powerset(the_carrier(_515090)))], (6791 ^ _284635) ^ [_515378] : [-(relation(identity_relation(_515378)))], (6793 ^ _284635) ^ [_515486, _515488] : [element(_515486, powerset(powerset(_515488))), -(element(meet_of_subsets(_515488, _515486), powerset(_515488)))], (6799 ^ _284635) ^ [_515728, _515730, _515732] : [-(element(subset_difference(_515732, _515730, _515728), powerset(_515732))), element(_515730, powerset(_515732)), element(_515728, powerset(_515732))], (6809 ^ _284635) ^ [_516043] : [one_sorted_str(_516043), 6812 ^ _284635 : [(6813 ^ _284635) ^ [] : [-(function(identity_on_carrier(_516043)))], (6815 ^ _284635) ^ [] : [-(quasi_total(identity_on_carrier(_516043), the_carrier(_516043), the_carrier(_516043)))], (6817 ^ _284635) ^ [] : [-(relation_of2_as_subset(identity_on_carrier(_516043), the_carrier(_516043), the_carrier(_516043)))]]], (6819 ^ _284635) ^ [_516420, _516422] : [relation(_516422), -(relation(relation_dom_restriction(_516422, _516420)))], (6825 ^ _284635) ^ [_516632, _516634] : [element(_516632, powerset(powerset(_516634))), -(element(complements_of_subsets(_516634, _516632), powerset(powerset(_516634))))], (6831 ^ _284635) ^ [_516864, _516866] : [6846 ^ _284635 : [(6847 ^ _284635) ^ [] : [-(strict_latt_str(k8_filter_1(_516866, _516864)))], (6849 ^ _284635) ^ [] : [-(latt_str(k8_filter_1(_516866, _516864)))]], -(empty_carrier(_516866)), latt_str(_516866), -(empty_carrier(_516864)), latt_str(_516864)], (6851 ^ _284635) ^ [_517450, _517452, _517454, _517456] : [-(element(apply_as_element(_517456, _517454, _517452, _517450), _517454)), -(empty(_517456)), function(_517452), quasi_total(_517452, _517456, _517454), relation_of2(_517452, _517456, _517454), element(_517450, _517456)], (6873 ^ _284635) ^ [_518073, _518075] : [relation(_518073), -(relation(relation_rng_restriction(_518075, _518073)))], (6879 ^ _284635) ^ [_518271] : [-(relation(relation_of_lattice(_518271))), -(empty_carrier(_518271)), lattice(_518271), latt_str(_518271)], (6893 ^ _284635) ^ [] : [true___, -(true___)], (6899 ^ _284635) ^ [_518749] : [meet_semilatt_str(_518749), -(one_sorted_str(_518749))], (6905 ^ _284635) ^ [_518935] : [rel_str(_518935), -(one_sorted_str(_518935))], (6911 ^ _284635) ^ [_519121] : [top_str(_519121), -(one_sorted_str(_519121))], (6917 ^ _284635) ^ [] : [true___, -(true___)], (6923 ^ _284635) ^ [_519426] : [join_semilatt_str(_519426), -(one_sorted_str(_519426))], (6929 ^ _284635) ^ [_519612] : [latt_str(_519612), 6932 ^ _284635 : [(6933 ^ _284635) ^ [] : [-(meet_semilatt_str(_519612))], (6935 ^ _284635) ^ [] : [-(join_semilatt_str(_519612))]]], (6937 ^ _284635) ^ [_519883, _519885] : [6952 ^ _284635 : [(6953 ^ _284635) ^ [_520293] : [point_neighbourhood(_520293, _519885, _519883), -(element(_520293, powerset(the_carrier(_519885))))]], -(empty_carrier(_519885)), topological_space(_519885), top_str(_519885), element(_519883, the_carrier(_519885))], (6959 ^ _284635) ^ [] : [true___, -(true___)], (6965 ^ _284635) ^ [] : [true___, -(true___)], (6971 ^ _284635) ^ [_520780, _520782, _520784] : [relation_of2_as_subset(_520780, _520784, _520782), -(element(_520780, powerset(cartesian_product2(_520784, _520782))))], (6977 ^ _284635) ^ [_520994] : [meet_semilatt_str(_520994), 6980 ^ _284635 : [(6981 ^ _284635) ^ [] : [-(function(the_L_meet(_520994)))], (6983 ^ _284635) ^ [] : [-(quasi_total(the_L_meet(_520994), cartesian_product2(the_carrier(_520994), the_carrier(_520994)), the_carrier(_520994)))], (6985 ^ _284635) ^ [] : [-(relation_of2_as_subset(the_L_meet(_520994), cartesian_product2(the_carrier(_520994), the_carrier(_520994)), the_carrier(_520994)))]]], (6987 ^ _284635) ^ [_521377] : [rel_str(_521377), -(relation_of2_as_subset(the_InternalRel(_521377), the_carrier(_521377), the_carrier(_521377)))], (6993 ^ _284635) ^ [_521579] : [top_str(_521579), -(element(the_topology(_521579), powerset(powerset(the_carrier(_521579)))))], (6999 ^ _284635) ^ [] : [true___, -(true___)], (7005 ^ _284635) ^ [_521902] : [join_semilatt_str(_521902), 7008 ^ _284635 : [(7009 ^ _284635) ^ [] : [-(function(the_L_join(_521902)))], (7011 ^ _284635) ^ [] : [-(quasi_total(the_L_join(_521902), cartesian_product2(the_carrier(_521902), the_carrier(_521902)), the_carrier(_521902)))], (7013 ^ _284635) ^ [] : [-(relation_of2_as_subset(the_L_join(_521902), cartesian_product2(the_carrier(_521902), the_carrier(_521902)), the_carrier(_521902)))]]], (7016 ^ _284635) ^ [] : [-(meet_semilatt_str(7014 ^ []))], (7019 ^ _284635) ^ [] : [-(rel_str(7017 ^ []))], (7022 ^ _284635) ^ [] : [-(top_str(7020 ^ []))], (7025 ^ _284635) ^ [] : [-(one_sorted_str(7023 ^ []))], (7028 ^ _284635) ^ [] : [-(join_semilatt_str(7026 ^ []))], (7031 ^ _284635) ^ [] : [-(latt_str(7029 ^ []))], (7033 ^ _284635) ^ [_522833, _522835] : [-(point_neighbourhood(7048 ^ [_522833, _522835], _522835, _522833)), -(empty_carrier(_522835)), topological_space(_522835), top_str(_522835), element(_522833, the_carrier(_522835))], (7053 ^ _284635) ^ [_523398, _523400] : [-(relation_of2(7051 ^ [_523398, _523400], _523400, _523398))], (7056 ^ _284635) ^ [_523525] : [-(element(7054 ^ [_523525], _523525))], (7059 ^ _284635) ^ [_523664, _523666] : [-(relation_of2_as_subset(7057 ^ [_523664, _523666], _523666, _523664))], (7061 ^ _284635) ^ [_523781, _523783] : [finite(_523781), -(finite(set_intersection2(_523783, _523781)))], (7067 ^ _284635) ^ [_523993, _523995] : [7074 ^ _284635 : [(7075 ^ _284635) ^ [] : [-(empty(relation_composition(_523993, _523995)))], (7077 ^ _284635) ^ [] : [-(relation(relation_composition(_523993, _523995)))]], empty(_523995), relation(_523993)], (7079 ^ _284635) ^ [_524371, _524373] : [finite(_524373), -(finite(set_intersection2(_524373, _524371)))], (7085 ^ _284635) ^ [_524569] : [empty(_524569), 7088 ^ _284635 : [(7089 ^ _284635) ^ [] : [-(empty(relation_inverse(_524569)))], (7091 ^ _284635) ^ [] : [-(relation(relation_inverse(_524569)))]]], (7093 ^ _284635) ^ [_524848, _524850] : [finite(_524850), -(finite(set_difference(_524850, _524848)))], (7099 ^ _284635) ^ [] : [-(empty(empty_set))], (7101 ^ _284635) ^ [] : [-(relation(empty_set))], (7103 ^ _284635) ^ [] : [-(relation_empty_yielding(empty_set))], (7105 ^ _284635) ^ [_525223, _525225] : [-(finite(relation_image(_525225, _525223))), relation(_525225), function(_525225), finite(_525223)], (7119 ^ _284635) ^ [_525609, _525611] : [7126 ^ _284635 : [(7127 ^ _284635) ^ [] : [-(relation(relation_dom_restriction(_525611, _525609)))], (7129 ^ _284635) ^ [] : [-(relation_empty_yielding(relation_dom_restriction(_525611, _525609)))]], relation(_525611), relation_empty_yielding(_525611)], (7131 ^ _284635) ^ [_525987, _525989] : [-(finite(cartesian_product2(_525989, _525987))), finite(_525989), finite(_525987)], (7141 ^ _284635) ^ [_526276] : [empty(singleton(_526276))], (7143 ^ _284635) ^ [_526321] : [-(finite(singleton(_526321)))], (7145 ^ _284635) ^ [_526421] : [empty(powerset(_526421))], (7147 ^ _284635) ^ [_526486] : [-(cup_closed(powerset(_526486)))], (7149 ^ _284635) ^ [_526551] : [-(diff_closed(powerset(_526551)))], (7151 ^ _284635) ^ [_526596] : [-(preboolean(powerset(_526596)))], (7153 ^ _284635) ^ [_526710, _526712] : [7168 ^ _284635 : [(7169 ^ _284635) ^ [] : [-(relation(relation_composition(_526712, _526710)))], (7171 ^ _284635) ^ [] : [-(function(relation_composition(_526712, _526710)))]], relation(_526712), function(_526712), relation(_526710), function(_526710)], (7173 ^ _284635) ^ [_527252] : [empty_carrier(boole_lattice(_527252))], (7175 ^ _284635) ^ [_527297] : [-(strict_latt_str(boole_lattice(_527297)))], (7177 ^ _284635) ^ [_527407, _527409] : [7184 ^ _284635 : [(7185 ^ _284635) ^ [] : [empty_carrier(rel_str_of(_527409, _527407))], (7187 ^ _284635) ^ [] : [-(strict_rel_str(rel_str_of(_527409, _527407)))]], -(empty(_527409)), relation_of2(_527407, _527409, _527409)], (7189 ^ _284635) ^ [_527763] : [empty(succ(_527763))], (7191 ^ _284635) ^ [] : [-(epsilon_transitive(omega))], (7193 ^ _284635) ^ [] : [-(epsilon_connected(omega))], (7195 ^ _284635) ^ [] : [-(ordinal(omega))], (7197 ^ _284635) ^ [] : [empty(omega)], (7199 ^ _284635) ^ [_528074] : [one_sorted_str(_528074), 7202 ^ _284635 : [(7203 ^ _284635) ^ [] : [-(empty(empty_carrier_subset(_528074)))], (7205 ^ _284635) ^ [] : [-(v1_membered(empty_carrier_subset(_528074)))], (7207 ^ _284635) ^ [] : [-(v2_membered(empty_carrier_subset(_528074)))], (7209 ^ _284635) ^ [] : [-(v3_membered(empty_carrier_subset(_528074)))], (7211 ^ _284635) ^ [] : [-(v4_membered(empty_carrier_subset(_528074)))], (7213 ^ _284635) ^ [] : [-(v5_membered(empty_carrier_subset(_528074)))]]], (7215 ^ _284635) ^ [_528649, _528651] : [-(relation(set_intersection2(_528651, _528649))), relation(_528651), relation(_528649)], (7225 ^ _284635) ^ [_528934] : [empty(the_carrier(_528934)), -(empty_carrier(_528934)), one_sorted_str(_528934)], (7235 ^ _284635) ^ [_529195] : [empty(powerset(_529195))], (7237 ^ _284635) ^ [] : [-(empty(empty_set))], (7239 ^ _284635) ^ [_529340, _529342] : [empty(ordered_pair(_529342, _529340))], (7241 ^ _284635) ^ [_529451, _529453] : [v1_membered(_529453), -(v1_membered(set_intersection2(_529453, _529451)))], (7247 ^ _284635) ^ [_529663, _529665] : [v1_membered(_529665), -(v1_membered(set_intersection2(_529663, _529665)))], (7253 ^ _284635) ^ [_529875, _529877] : [v2_membered(_529877), 7256 ^ _284635 : [(7257 ^ _284635) ^ [] : [-(v1_membered(set_intersection2(_529877, _529875)))], (7259 ^ _284635) ^ [] : [-(v2_membered(set_intersection2(_529877, _529875)))]]], (7261 ^ _284635) ^ [_530152] : [7268 ^ _284635 : [(7269 ^ _284635) ^ [] : [empty(succ(_530152))], (7271 ^ _284635) ^ [] : [-(epsilon_transitive(succ(_530152)))], (7273 ^ _284635) ^ [] : [-(epsilon_connected(succ(_530152)))], (7275 ^ _284635) ^ [] : [-(ordinal(succ(_530152)))], (7277 ^ _284635) ^ [] : [-(natural(succ(_530152)))]], ordinal(_530152), natural(_530152)], (7279 ^ _284635) ^ [_530728] : [-(relation(identity_relation(_530728)))], (7281 ^ _284635) ^ [_530773] : [-(function(identity_relation(_530773)))], (7283 ^ _284635) ^ [_530869] : [7294 ^ _284635 : [(7295 ^ _284635) ^ [] : [-(relation(the_L_join(_530869)))], (7297 ^ _284635) ^ [] : [-(function(the_L_join(_530869)))], (7299 ^ _284635) ^ [] : [-(quasi_total(the_L_join(_530869), cartesian_product2(the_carrier(_530869), the_carrier(_530869)), the_carrier(_530869)))], (7301 ^ _284635) ^ [] : [-(v1_binop_1(the_L_join(_530869), the_carrier(_530869)))], (7303 ^ _284635) ^ [] : [-(v1_partfun1(the_L_join(_530869), cartesian_product2(the_carrier(_530869), the_carrier(_530869)), the_carrier(_530869)))]], -(empty_carrier(_530869)), join_commutative(_530869), join_semilatt_str(_530869)], (7305 ^ _284635) ^ [_531579] : [empty_carrier(boole_lattice(_531579))], (7307 ^ _284635) ^ [_531644] : [-(strict_latt_str(boole_lattice(_531644)))], (7309 ^ _284635) ^ [_531709] : [-(join_commutative(boole_lattice(_531709)))], (7311 ^ _284635) ^ [_531774] : [-(join_associative(boole_lattice(_531774)))], (7313 ^ _284635) ^ [_531839] : [-(meet_commutative(boole_lattice(_531839)))], (7315 ^ _284635) ^ [_531904] : [-(meet_associative(boole_lattice(_531904)))], (7317 ^ _284635) ^ [_531969] : [-(meet_absorbing(boole_lattice(_531969)))], (7319 ^ _284635) ^ [_532034] : [-(join_absorbing(boole_lattice(_532034)))], (7321 ^ _284635) ^ [_532079] : [-(lattice(boole_lattice(_532079)))], (7323 ^ _284635) ^ [_532189] : [7338 ^ _284635 : [(7339 ^ _284635) ^ [] : [-(relation(the_InternalRel(_532189)))], (7341 ^ _284635) ^ [] : [-(reflexive(the_InternalRel(_532189)))], (7343 ^ _284635) ^ [] : [-(antisymmetric(the_InternalRel(_532189)))], (7345 ^ _284635) ^ [] : [-(transitive(the_InternalRel(_532189)))], (7347 ^ _284635) ^ [] : [-(v1_partfun1(the_InternalRel(_532189), the_carrier(_532189), the_carrier(_532189)))]], reflexive_relstr(_532189), transitive_relstr(_532189), antisymmetric_relstr(_532189), rel_str(_532189)], (7349 ^ _284635) ^ [] : [-(relation(empty_set))], (7351 ^ _284635) ^ [] : [-(relation_empty_yielding(empty_set))], (7353 ^ _284635) ^ [] : [-(function(empty_set))], (7355 ^ _284635) ^ [] : [-(one_to_one(empty_set))], (7357 ^ _284635) ^ [] : [-(empty(empty_set))], (7359 ^ _284635) ^ [] : [-(epsilon_transitive(empty_set))], (7361 ^ _284635) ^ [] : [-(epsilon_connected(empty_set))], (7363 ^ _284635) ^ [] : [-(ordinal(empty_set))], (7365 ^ _284635) ^ [_533380] : [-(relation(identity_relation(_533380)))], (7367 ^ _284635) ^ [_533445] : [-(function(identity_relation(_533445)))], (7369 ^ _284635) ^ [_533510] : [-(reflexive(identity_relation(_533510)))], (7371 ^ _284635) ^ [_533575] : [-(symmetric(identity_relation(_533575)))], (7373 ^ _284635) ^ [_533640] : [-(antisymmetric(identity_relation(_533640)))], (7375 ^ _284635) ^ [_533685] : [-(transitive(identity_relation(_533685)))], (7377 ^ _284635) ^ [_533789] : [empty(cast_as_carrier_subset(_533789)), -(empty_carrier(_533789)), one_sorted_str(_533789)], (7387 ^ _284635) ^ [_534080, _534082] : [-(relation(set_union2(_534082, _534080))), relation(_534082), relation(_534080)], (7397 ^ _284635) ^ [_534349] : [empty(singleton(_534349))], (7399 ^ _284635) ^ [_534457, _534459] : [-(closed_subset(topstr_closure(_534459, _534457), _534459)), topological_space(_534459), top_str(_534459), element(_534457, powerset(the_carrier(_534459)))], (7413 ^ _284635) ^ [_534855, _534857] : [-(empty(_534857)), empty(set_union2(_534857, _534855))], (7419 ^ _284635) ^ [_535071, _535073] : [v2_membered(_535073), 7422 ^ _284635 : [(7423 ^ _284635) ^ [] : [-(v1_membered(set_intersection2(_535071, _535073)))], (7425 ^ _284635) ^ [] : [-(v2_membered(set_intersection2(_535071, _535073)))]]], (7427 ^ _284635) ^ [_535362, _535364] : [v3_membered(_535364), 7430 ^ _284635 : [(7431 ^ _284635) ^ [] : [-(v1_membered(set_intersection2(_535364, _535362)))], (7433 ^ _284635) ^ [] : [-(v2_membered(set_intersection2(_535364, _535362)))], (7435 ^ _284635) ^ [] : [-(v3_membered(set_intersection2(_535364, _535362)))]]], (7437 ^ _284635) ^ [_535731, _535733] : [v3_membered(_535733), 7440 ^ _284635 : [(7441 ^ _284635) ^ [] : [-(v1_membered(set_intersection2(_535731, _535733)))], (7443 ^ _284635) ^ [] : [-(v2_membered(set_intersection2(_535731, _535733)))], (7445 ^ _284635) ^ [] : [-(v3_membered(set_intersection2(_535731, _535733)))]]], (7447 ^ _284635) ^ [_536100, _536102] : [v4_membered(_536102), 7450 ^ _284635 : [(7451 ^ _284635) ^ [] : [-(v1_membered(set_intersection2(_536102, _536100)))], (7453 ^ _284635) ^ [] : [-(v2_membered(set_intersection2(_536102, _536100)))], (7455 ^ _284635) ^ [] : [-(v3_membered(set_intersection2(_536102, _536100)))], (7457 ^ _284635) ^ [] : [-(v4_membered(set_intersection2(_536102, _536100)))]]], (7459 ^ _284635) ^ [_536547, _536549] : [v4_membered(_536549), 7462 ^ _284635 : [(7463 ^ _284635) ^ [] : [-(v1_membered(set_intersection2(_536547, _536549)))], (7465 ^ _284635) ^ [] : [-(v2_membered(set_intersection2(_536547, _536549)))], (7467 ^ _284635) ^ [] : [-(v3_membered(set_intersection2(_536547, _536549)))], (7469 ^ _284635) ^ [] : [-(v4_membered(set_intersection2(_536547, _536549)))]]], (7471 ^ _284635) ^ [_536994, _536996] : [v5_membered(_536996), 7474 ^ _284635 : [(7475 ^ _284635) ^ [] : [-(v1_membered(set_intersection2(_536996, _536994)))], (7477 ^ _284635) ^ [] : [-(v2_membered(set_intersection2(_536996, _536994)))], (7479 ^ _284635) ^ [] : [-(v3_membered(set_intersection2(_536996, _536994)))], (7481 ^ _284635) ^ [] : [-(v4_membered(set_intersection2(_536996, _536994)))], (7483 ^ _284635) ^ [] : [-(v5_membered(set_intersection2(_536996, _536994)))]]], (7485 ^ _284635) ^ [_537519, _537521] : [v5_membered(_537521), 7488 ^ _284635 : [(7489 ^ _284635) ^ [] : [-(v1_membered(set_intersection2(_537519, _537521)))], (7491 ^ _284635) ^ [] : [-(v2_membered(set_intersection2(_537519, _537521)))], (7493 ^ _284635) ^ [] : [-(v3_membered(set_intersection2(_537519, _537521)))], (7495 ^ _284635) ^ [] : [-(v4_membered(set_intersection2(_537519, _537521)))], (7497 ^ _284635) ^ [] : [-(v5_membered(set_intersection2(_537519, _537521)))]]], (7499 ^ _284635) ^ [_538044, _538046] : [v1_membered(_538046), -(v1_membered(set_difference(_538046, _538044)))], (7505 ^ _284635) ^ [_538256, _538258] : [v2_membered(_538258), 7508 ^ _284635 : [(7509 ^ _284635) ^ [] : [-(v1_membered(set_difference(_538258, _538256)))], (7511 ^ _284635) ^ [] : [-(v2_membered(set_difference(_538258, _538256)))]]], (7513 ^ _284635) ^ [_538547, _538549] : [v3_membered(_538549), 7516 ^ _284635 : [(7517 ^ _284635) ^ [] : [-(v1_membered(set_difference(_538549, _538547)))], (7519 ^ _284635) ^ [] : [-(v2_membered(set_difference(_538549, _538547)))], (7521 ^ _284635) ^ [] : [-(v3_membered(set_difference(_538549, _538547)))]]], (7523 ^ _284635) ^ [_538902] : [7534 ^ _284635 : [(7535 ^ _284635) ^ [] : [-(relation(relation_inverse(_538902)))], (7537 ^ _284635) ^ [] : [-(function(relation_inverse(_538902)))]], relation(_538902), function(_538902), one_to_one(_538902)], (7539 ^ _284635) ^ [_539333] : [7550 ^ _284635 : [(7551 ^ _284635) ^ [] : [-(relation(the_L_join(_539333)))], (7553 ^ _284635) ^ [] : [-(function(the_L_join(_539333)))], (7555 ^ _284635) ^ [] : [-(quasi_total(the_L_join(_539333), cartesian_product2(the_carrier(_539333), the_carrier(_539333)), the_carrier(_539333)))], (7557 ^ _284635) ^ [] : [-(v2_binop_1(the_L_join(_539333), the_carrier(_539333)))], (7559 ^ _284635) ^ [] : [-(v1_partfun1(the_L_join(_539333), cartesian_product2(the_carrier(_539333), the_carrier(_539333)), the_carrier(_539333)))]], -(empty_carrier(_539333)), join_associative(_539333), join_semilatt_str(_539333)], (7561 ^ _284635) ^ [_540067, _540069, _540071] : [7588 ^ _284635 : [(7589 ^ _284635) ^ [] : [empty_carrier(latt_str_of(_540071, _540069, _540067))], (7591 ^ _284635) ^ [] : [-(strict_latt_str(latt_str_of(_540071, _540069, _540067)))]], -(empty(_540071)), function(_540069), quasi_total(_540069, cartesian_product2(_540071, _540071), _540071), relation_of2(_540069, cartesian_product2(_540071, _540071), _540071), function(_540067), quasi_total(_540067, cartesian_product2(_540071, _540071), _540071), relation_of2(_540067, cartesian_product2(_540071, _540071), _540071)], (7593 ^ _284635) ^ [_540960, _540962] : [7612 ^ _284635 : [(7613 ^ _284635) ^ [] : [-(strict_rel_str(rel_str_of(_540962, _540960)))], (7615 ^ _284635) ^ [] : [-(reflexive_relstr(rel_str_of(_540962, _540960)))], (7617 ^ _284635) ^ [] : [-(transitive_relstr(rel_str_of(_540962, _540960)))], (7619 ^ _284635) ^ [] : [-(antisymmetric_relstr(rel_str_of(_540962, _540960)))]], reflexive(_540960), antisymmetric(_540960), transitive(_540960), v1_partfun1(_540960, _540962, _540962), relation_of2(_540960, _540962, _540962)], (7621 ^ _284635) ^ [_541749] : [ordinal(_541749), 7624 ^ _284635 : [(7625 ^ _284635) ^ [] : [empty(succ(_541749))], (7627 ^ _284635) ^ [] : [-(epsilon_transitive(succ(_541749)))], (7629 ^ _284635) ^ [] : [-(epsilon_connected(succ(_541749)))], (7631 ^ _284635) ^ [] : [-(ordinal(succ(_541749)))]]], (7633 ^ _284635) ^ [_542177, _542179] : [-(relation(set_difference(_542179, _542177))), relation(_542179), relation(_542177)], (7643 ^ _284635) ^ [_542460, _542462] : [empty(unordered_pair(_542462, _542460))], (7645 ^ _284635) ^ [_542571, _542573] : [-(open_subset(subset_complement(the_carrier(_542573), _542571), _542573)), topological_space(_542573), top_str(_542573), closed_subset(_542571, _542573), element(_542571, powerset(the_carrier(_542573)))], (7663 ^ _284635) ^ [_543062, _543064] : [-(empty(_543064)), empty(set_union2(_543062, _543064))], (7669 ^ _284635) ^ [_543278, _543280] : [v4_membered(_543280), 7672 ^ _284635 : [(7673 ^ _284635) ^ [] : [-(v1_membered(set_difference(_543280, _543278)))], (7675 ^ _284635) ^ [] : [-(v2_membered(set_difference(_543280, _543278)))], (7677 ^ _284635) ^ [] : [-(v3_membered(set_difference(_543280, _543278)))], (7679 ^ _284635) ^ [] : [-(v4_membered(set_difference(_543280, _543278)))]]], (7681 ^ _284635) ^ [_543725, _543727] : [v5_membered(_543727), 7684 ^ _284635 : [(7685 ^ _284635) ^ [] : [-(v1_membered(set_difference(_543727, _543725)))], (7687 ^ _284635) ^ [] : [-(v2_membered(set_difference(_543727, _543725)))], (7689 ^ _284635) ^ [] : [-(v3_membered(set_difference(_543727, _543725)))], (7691 ^ _284635) ^ [] : [-(v4_membered(set_difference(_543727, _543725)))], (7693 ^ _284635) ^ [] : [-(v5_membered(set_difference(_543727, _543725)))]]], (7695 ^ _284635) ^ [_544250, _544252] : [7702 ^ _284635 : [(7703 ^ _284635) ^ [] : [-(relation(relation_dom_restriction(_544252, _544250)))], (7705 ^ _284635) ^ [] : [-(function(relation_dom_restriction(_544252, _544250)))]], relation(_544252), function(_544252)], (7707 ^ _284635) ^ [_544614] : [7718 ^ _284635 : [(7719 ^ _284635) ^ [] : [-(relation(the_L_meet(_544614)))], (7721 ^ _284635) ^ [] : [-(function(the_L_meet(_544614)))], (7723 ^ _284635) ^ [] : [-(quasi_total(the_L_meet(_544614), cartesian_product2(the_carrier(_544614), the_carrier(_544614)), the_carrier(_544614)))], (7725 ^ _284635) ^ [] : [-(v1_binop_1(the_L_meet(_544614), the_carrier(_544614)))], (7727 ^ _284635) ^ [] : [-(v1_partfun1(the_L_meet(_544614), cartesian_product2(the_carrier(_544614), the_carrier(_544614)), the_carrier(_544614)))]], -(empty_carrier(_544614)), meet_commutative(_544614), meet_semilatt_str(_544614)], (7729 ^ _284635) ^ [_545320] : [7740 ^ _284635 : [(7741 ^ _284635) ^ [] : [empty_carrier(poset_of_lattice(_545320))], (7743 ^ _284635) ^ [] : [-(strict_rel_str(poset_of_lattice(_545320)))], (7745 ^ _284635) ^ [] : [-(reflexive_relstr(poset_of_lattice(_545320)))], (7747 ^ _284635) ^ [] : [-(transitive_relstr(poset_of_lattice(_545320)))], (7749 ^ _284635) ^ [] : [-(antisymmetric_relstr(poset_of_lattice(_545320)))]], -(empty_carrier(_545320)), lattice(_545320), latt_str(_545320)], (7751 ^ _284635) ^ [_545977] : [ordinal(_545977), 7754 ^ _284635 : [(7755 ^ _284635) ^ [] : [-(epsilon_transitive(union(_545977)))], (7757 ^ _284635) ^ [] : [-(epsilon_connected(union(_545977)))], (7759 ^ _284635) ^ [] : [-(ordinal(union(_545977)))]]], (7761 ^ _284635) ^ [] : [-(empty(empty_set))], (7763 ^ _284635) ^ [] : [-(relation(empty_set))], (7765 ^ _284635) ^ [_546438, _546440] : [empty(cartesian_product2(_546440, _546438)), -(empty(_546440)), -(empty(_546438))], (7775 ^ _284635) ^ [_546744, _546746] : [-(closed_subset(subset_complement(the_carrier(_546746), _546744), _546746)), topological_space(_546746), top_str(_546746), open_subset(_546744, _546746), element(_546744, powerset(the_carrier(_546746)))], (7793 ^ _284635) ^ [_547235, _547237] : [7800 ^ _284635 : [(7801 ^ _284635) ^ [] : [-(relation(relation_rng_restriction(_547237, _547235)))], (7803 ^ _284635) ^ [] : [-(function(relation_rng_restriction(_547237, _547235)))]], relation(_547235), function(_547235)], (7805 ^ _284635) ^ [_547599] : [7816 ^ _284635 : [(7817 ^ _284635) ^ [] : [-(relation(the_L_meet(_547599)))], (7819 ^ _284635) ^ [] : [-(function(the_L_meet(_547599)))], (7821 ^ _284635) ^ [] : [-(quasi_total(the_L_meet(_547599), cartesian_product2(the_carrier(_547599), the_carrier(_547599)), the_carrier(_547599)))], (7823 ^ _284635) ^ [] : [-(v2_binop_1(the_L_meet(_547599), the_carrier(_547599)))], (7825 ^ _284635) ^ [] : [-(v1_partfun1(the_L_meet(_547599), cartesian_product2(the_carrier(_547599), the_carrier(_547599)), the_carrier(_547599)))]], -(empty_carrier(_547599)), meet_associative(_547599), meet_semilatt_str(_547599)], (7827 ^ _284635) ^ [_548305] : [-(closed_subset(cast_as_carrier_subset(_548305), _548305)), topological_space(_548305), top_str(_548305)], (7837 ^ _284635) ^ [_548580] : [empty(relation_dom(_548580)), -(empty(_548580)), relation(_548580)], (7847 ^ _284635) ^ [] : [-(empty(empty_set))], (7849 ^ _284635) ^ [] : [-(v1_membered(empty_set))], (7851 ^ _284635) ^ [] : [-(v2_membered(empty_set))], (7853 ^ _284635) ^ [] : [-(v3_membered(empty_set))], (7855 ^ _284635) ^ [] : [-(v4_membered(empty_set))], (7857 ^ _284635) ^ [] : [-(v5_membered(empty_set))], (7859 ^ _284635) ^ [_549185] : [empty(relation_rng(_549185)), -(empty(_549185)), relation(_549185)], (7869 ^ _284635) ^ [_549476, _549478] : [-(open_subset(interior(_549478, _549476), _549478)), topological_space(_549478), top_str(_549478), element(_549476, powerset(the_carrier(_549478)))], (7883 ^ _284635) ^ [_549860] : [empty(_549860), 7886 ^ _284635 : [(7887 ^ _284635) ^ [] : [-(empty(relation_dom(_549860)))], (7889 ^ _284635) ^ [] : [-(relation(relation_dom(_549860)))]]], (7891 ^ _284635) ^ [_550125] : [empty(_550125), 7894 ^ _284635 : [(7895 ^ _284635) ^ [] : [-(empty(relation_rng(_550125)))], (7897 ^ _284635) ^ [] : [-(relation(relation_rng(_550125)))]]], (7899 ^ _284635) ^ [_550404, _550406] : [-(finite(set_union2(_550406, _550404))), finite(_550406), finite(_550404)], (7909 ^ _284635) ^ [_550703, _550705] : [7916 ^ _284635 : [(7917 ^ _284635) ^ [] : [-(empty(relation_composition(_550705, _550703)))], (7919 ^ _284635) ^ [] : [-(relation(relation_composition(_550705, _550703)))]], empty(_550705), relation(_550703)], (7921 ^ _284635) ^ [_551081, _551083] : [-(empty_carrier(_551081)), lattice(_551081), latt_str(_551081), 7932 ^ _284635 : [(7933 ^ _284635) ^ [] : [in(_551083, a_1_0_filter_1(_551081)), 7938 ^ _284635 : [(7939 ^ _284635) ^ [] : [-(element(7936 ^ [_551081, _551083], the_carrier(_551081)))], (7941 ^ _284635) ^ [] : [-(element(7937 ^ [_551081, _551083], the_carrier(_551081)))], (7943 ^ _284635) ^ [] : [-(_551083 = ordered_pair_as_product_element(the_carrier(_551081), the_carrier(_551081), 7936 ^ [_551081, _551083], 7937 ^ [_551081, _551083]))], (7945 ^ _284635) ^ [] : [-(below_refl(_551081, 7936 ^ [_551081, _551083], 7937 ^ [_551081, _551083]))]]], (7947 ^ _284635) ^ [] : [-(in(_551083, a_1_0_filter_1(_551081))), 7948 ^ _284635 : [(7949 ^ _284635) ^ [_552081, _552083] : [element(_552083, the_carrier(_551081)), element(_552081, the_carrier(_551081)), _551083 = ordered_pair_as_product_element(the_carrier(_551081), the_carrier(_551081), _552083, _552081), below_refl(_551081, _552083, _552081)]]]]], (7965 ^ _284635) ^ [_552606, _552608, _552610] : [-(empty_carrier(_552608)), latt_str(_552608), 7972 ^ _284635 : [(7973 ^ _284635) ^ [] : [in(_552610, a_2_2_lattice3(_552608, _552606)), 7977 ^ _284635 : [(7978 ^ _284635) ^ [] : [-(element(7976 ^ [_552606, _552608, _552610], the_carrier(_552608)))], (7980 ^ _284635) ^ [] : [-(_552610 = 7976 ^ [_552606, _552608, _552610])], (7982 ^ _284635) ^ [] : [-(latt_set_smaller(_552608, 7976 ^ [_552606, _552608, _552610], _552606))]]], (7984 ^ _284635) ^ [] : [-(in(_552610, a_2_2_lattice3(_552608, _552606))), 7985 ^ _284635 : [(7986 ^ _284635) ^ [_553295] : [element(_553295, the_carrier(_552608)), _552610 = _553295, latt_set_smaller(_552608, _553295, _552606)]]]]], (7998 ^ _284635) ^ [_553704, _553706, _553708] : [-(empty_carrier(_553706)), lattice(_553706), complete_latt_str(_553706), latt_str(_553706), 8013 ^ _284635 : [(8014 ^ _284635) ^ [] : [in(_553708, a_2_3_lattice3(_553706, _553704)), 8018 ^ _284635 : [(8019 ^ _284635) ^ [] : [-(element(8017 ^ [_553704, _553706, _553708], the_carrier(_553706)))], (8021 ^ _284635) ^ [] : [-(_553708 = 8017 ^ [_553704, _553706, _553708])], (8023 ^ _284635) ^ [] : [-(latt_set_smaller(_553706, 8017 ^ [_553704, _553706, _553708], _553704))]]], (8025 ^ _284635) ^ [] : [-(in(_553708, a_2_3_lattice3(_553706, _553704))), 8026 ^ _284635 : [(8027 ^ _284635) ^ [_554575] : [element(_554575, the_carrier(_553706)), _553708 = _554575, latt_set_smaller(_553706, _554575, _553704)]]]]], (8039 ^ _284635) ^ [_554974, _554976] : [relation_of2(_554974, _554976, _554976), 8042 ^ _284635 : [(8043 ^ _284635) ^ [_555144, _555146] : [rel_str_of(_554976, _554974) = rel_str_of(_555146, _555144), 8046 ^ _284635 : [(8047 ^ _284635) ^ [] : [-(_554976 = _555146)], (8049 ^ _284635) ^ [] : [-(_554974 = _555144)]]]]], (8051 ^ _284635) ^ [_555480, _555482, _555484] : [8074 ^ _284635 : [(8075 ^ _284635) ^ [_556172, _556174, _556176] : [latt_str_of(_555484, _555482, _555480) = latt_str_of(_556176, _556174, _556172), 8078 ^ _284635 : [(8079 ^ _284635) ^ [] : [-(_555484 = _556176)], (8081 ^ _284635) ^ [] : [-(_555482 = _556174)], (8083 ^ _284635) ^ [] : [-(_555480 = _556172)]]]], function(_555482), quasi_total(_555482, cartesian_product2(_555484, _555484), _555484), relation_of2(_555482, cartesian_product2(_555484, _555484), _555484), function(_555480), quasi_total(_555480, cartesian_product2(_555484, _555484), _555484), relation_of2(_555480, cartesian_product2(_555484, _555484), _555484)], (8085 ^ _284635) ^ [_556583, _556585] : [-(set_union2(_556585, _556585) = _556585)], (8087 ^ _284635) ^ [_556680, _556682] : [-(set_intersection2(_556682, _556682) = _556682)], (8089 ^ _284635) ^ [_556806, _556808, _556810] : [-(subset_union2(_556810, _556808, _556808) = _556808), element(_556808, powerset(_556810)), element(_556806, powerset(_556810))], (8099 ^ _284635) ^ [_557145, _557147, _557149] : [-(subset_intersection2(_557149, _557147, _557147) = _557147), element(_557147, powerset(_557149)), element(_557145, powerset(_557149))], (8109 ^ _284635) ^ [_557470, _557472] : [element(_557470, powerset(_557472)), -(subset_complement(_557472, subset_complement(_557472, _557470)) = _557470)], (8115 ^ _284635) ^ [_557682] : [relation(_557682), -(relation_inverse(relation_inverse(_557682)) = _557682)], (8121 ^ _284635) ^ [_557892, _557894] : [element(_557892, powerset(powerset(_557894))), -(complements_of_subsets(_557894, complements_of_subsets(_557894, _557892)) = _557892)], (8127 ^ _284635) ^ [_558106, _558108] : [proper_subset(_558108, _558108)], (8129 ^ _284635) ^ [_558201] : [relation(_558201), 8132 ^ _284635 : [(8143 ^ _284635) ^ [] : [8145 ^ _284635 : [(8146 ^ _284635) ^ [] : [-(in(8144 ^ [_558201], relation_field(_558201)))], (8148 ^ _284635) ^ [] : [in(ordered_pair(8144 ^ [_558201], 8144 ^ [_558201]), _558201)]], -(reflexive(_558201))], (8133 ^ _284635) ^ [] : [reflexive(_558201), 8136 ^ _284635 : [(8137 ^ _284635) ^ [_558445] : [in(_558445, relation_field(_558201)), -(in(ordered_pair(_558445, _558445), _558201))]]]]], (8152 ^ _284635) ^ [_558910] : [singleton(_558910) = empty_set], (8154 ^ _284635) ^ [_559019, _559021] : [in(_559021, _559019), -(set_union2(singleton(_559021), _559019) = _559019)], (8160 ^ _284635) ^ [_559239, _559241] : [disjoint(singleton(_559241), _559239), in(_559241, _559239)], (8166 ^ _284635) ^ [_559452, _559454] : [-(in(_559454, _559452)), -(disjoint(singleton(_559454), _559452))], (8172 ^ _284635) ^ [_559669, _559671] : [relation(_559669), -(subset(relation_dom(relation_rng_restriction(_559671, _559669)), relation_dom(_559669)))], (8178 ^ _284635) ^ [_559877] : [relation(_559877), 8181 ^ _284635 : [(8196 ^ _284635) ^ [] : [8200 ^ _284635 : [(8201 ^ _284635) ^ [] : [-(in(ordered_pair(8197 ^ [_559877], 8198 ^ [_559877]), _559877))], (8203 ^ _284635) ^ [] : [-(in(ordered_pair(8198 ^ [_559877], 8199 ^ [_559877]), _559877))], (8205 ^ _284635) ^ [] : [in(ordered_pair(8197 ^ [_559877], 8199 ^ [_559877]), _559877)]], -(transitive(_559877))], (8182 ^ _284635) ^ [] : [transitive(_559877), 8185 ^ _284635 : [(8186 ^ _284635) ^ [_560169, _560171, _560173] : [-(in(ordered_pair(_560173, _560169), _559877)), in(ordered_pair(_560173, _560171), _559877), in(ordered_pair(_560171, _560169), _559877)]]]]], (8209 ^ _284635) ^ [_561076, _561078] : [subset(singleton(_561078), _561076), -(in(_561078, _561076))], (8215 ^ _284635) ^ [_561242, _561244] : [in(_561244, _561242), -(subset(singleton(_561244), _561242))], (8221 ^ _284635) ^ [_561458, _561460] : [relation(_561458), well_ordering(_561458), equipotent(_561460, relation_field(_561458)), 8233 ^ _284635 : [(8234 ^ _284635) ^ [] : [-(relation(8232 ^ [_561458, _561460]))], (8236 ^ _284635) ^ [] : [-(well_orders(8232 ^ [_561458, _561460], _561460))]]], (8238 ^ _284635) ^ [_562023, _562025] : [set_difference(_562025, _562023) = empty_set, -(subset(_562025, _562023))], (8244 ^ _284635) ^ [_562191, _562193] : [subset(_562193, _562191), -(set_difference(_562193, _562191) = empty_set)], (8250 ^ _284635) ^ [_562409, _562411] : [element(_562409, powerset(_562411)), 8253 ^ _284635 : [(8254 ^ _284635) ^ [_562550] : [in(_562550, _562409), -(in(_562550, _562411))]]], (8260 ^ _284635) ^ [_562761] : [relation(_562761), 8263 ^ _284635 : [(8278 ^ _284635) ^ [] : [8281 ^ _284635 : [(8282 ^ _284635) ^ [] : [-(in(ordered_pair(8279 ^ [_562761], 8280 ^ [_562761]), _562761))], (8284 ^ _284635) ^ [] : [-(in(ordered_pair(8280 ^ [_562761], 8279 ^ [_562761]), _562761))], (8286 ^ _284635) ^ [] : [8279 ^ [_562761] = 8280 ^ [_562761]]], -(antisymmetric(_562761))], (8264 ^ _284635) ^ [] : [antisymmetric(_562761), 8267 ^ _284635 : [(8268 ^ _284635) ^ [_563031, _563033] : [-(_563033 = _563031), in(ordered_pair(_563033, _563031), _562761), in(ordered_pair(_563031, _563033), _562761)]]]]], (8290 ^ _284635) ^ [_563811, _563813, _563815] : [subset(_563815, _563813), -(in(_563811, _563815)), -(subset(_563815, set_difference(_563813, singleton(_563811))))], (8300 ^ _284635) ^ [_564117] : [-(empty_carrier(_564117)), one_sorted_str(_564117), 8307 ^ _284635 : [(8308 ^ _284635) ^ [_564364] : [element(_564364, powerset(the_carrier(_564117))), 8311 ^ _284635 : [(8312 ^ _284635) ^ [_564526] : [element(_564526, the_carrier(_564117)), 8315 ^ _284635 : [(8316 ^ _284635) ^ [] : [in(_564526, subset_complement(the_carrier(_564117), _564364)), in(_564526, _564364)], (8322 ^ _284635) ^ [] : [-(in(_564526, _564364)), -(in(_564526, subset_complement(the_carrier(_564117), _564364)))]]]]]]], (8328 ^ _284635) ^ [_565025] : [relation(_565025), 8331 ^ _284635 : [(8354 ^ _284635) ^ [] : [8357 ^ _284635 : [(8358 ^ _284635) ^ [] : [-(in(8355 ^ [_565025], relation_field(_565025)))], (8360 ^ _284635) ^ [] : [-(in(8356 ^ [_565025], relation_field(_565025)))], (8362 ^ _284635) ^ [] : [8355 ^ [_565025] = 8356 ^ [_565025]], (8364 ^ _284635) ^ [] : [in(ordered_pair(8355 ^ [_565025], 8356 ^ [_565025]), _565025)], (8366 ^ _284635) ^ [] : [in(ordered_pair(8356 ^ [_565025], 8355 ^ [_565025]), _565025)]], -(connected(_565025))], (8332 ^ _284635) ^ [] : [connected(_565025), 8335 ^ _284635 : [(8336 ^ _284635) ^ [_565319, _565321] : [in(_565321, relation_field(_565025)), in(_565319, relation_field(_565025)), -(_565321 = _565319), -(in(ordered_pair(_565321, _565319), _565025)), -(in(ordered_pair(_565319, _565321), _565025))]]]]], (8380 ^ _284635) ^ [_566771, _566773] : [8381 ^ _284635 : [(8382 ^ _284635) ^ [] : [_566773 = empty_set], (8384 ^ _284635) ^ [] : [_566773 = singleton(_566771)]], -(subset(_566773, singleton(_566771)))], (8370 ^ _284635) ^ [_566511, _566513] : [subset(_566513, singleton(_566511)), -(_566513 = empty_set), -(_566513 = singleton(_566511))], (8388 ^ _284635) ^ [_567065, _567067] : [in(_567067, _567065), -(subset(_567067, union(_567065)))], (8394 ^ _284635) ^ [_567336, _567338, _567340, _567342] : [in(ordered_pair(_567342, _567340), cartesian_product2(_567338, _567336)), 8397 ^ _284635 : [(8398 ^ _284635) ^ [] : [-(in(_567342, _567338))], (8400 ^ _284635) ^ [] : [-(in(_567340, _567336))]]], (8402 ^ _284635) ^ [_567601, _567603, _567605, _567607] : [-(in(ordered_pair(_567607, _567605), cartesian_product2(_567603, _567601))), in(_567607, _567603), in(_567605, _567601)], (8412 ^ _284635) ^ [_567934, _567936] : [8414 ^ _284635 : [(8415 ^ _284635) ^ [] : [-(in(8413 ^ [_567934, _567936], _567936))], (8417 ^ _284635) ^ [] : [in(8413 ^ [_567934, _567936], _567934)]], -(element(_567936, powerset(_567934)))], (8421 ^ _284635) ^ [_568307, _568309, _568311] : [relation(_568307), function(_568307), 8428 ^ _284635 : [(8429 ^ _284635) ^ [] : [in(_568309, relation_dom(relation_dom_restriction(_568307, _568311))), 8432 ^ _284635 : [(8433 ^ _284635) ^ [] : [-(in(_568309, relation_dom(_568307)))], (8435 ^ _284635) ^ [] : [-(in(_568309, _568311))]]], (8437 ^ _284635) ^ [] : [-(in(_568309, relation_dom(relation_dom_restriction(_568307, _568311)))), in(_568309, relation_dom(_568307)), in(_568309, _568311)]]], (8448 ^ _284635) ^ [] : [empty(8446 ^ [])], (8450 ^ _284635) ^ [] : [-(epsilon_transitive(8446 ^ []))], (8452 ^ _284635) ^ [] : [-(epsilon_connected(8446 ^ []))], (8454 ^ _284635) ^ [] : [-(ordinal(8446 ^ []))], (8456 ^ _284635) ^ [] : [-(natural(8446 ^ []))], (8459 ^ _284635) ^ [] : [empty(8457 ^ [])], (8461 ^ _284635) ^ [] : [-(finite(8457 ^ []))], (8464 ^ _284635) ^ [] : [-(relation(8462 ^ []))], (8466 ^ _284635) ^ [] : [-(function(8462 ^ []))], (8469 ^ _284635) ^ [_569752, _569754] : [-(relation_of2(8467 ^ [_569752, _569754], _569754, _569752))], (8471 ^ _284635) ^ [_569826, _569828] : [-(relation(8467 ^ [_569826, _569828]))], (8473 ^ _284635) ^ [_569898, _569900] : [-(function(8467 ^ [_569898, _569900]))], (8475 ^ _284635) ^ [_569950, _569952] : [-(quasi_total(8467 ^ [_569950, _569952], _569952, _569950))], (8478 ^ _284635) ^ [] : [empty(8476 ^ [])], (8480 ^ _284635) ^ [] : [-(v1_membered(8476 ^ []))], (8482 ^ _284635) ^ [] : [-(v2_membered(8476 ^ []))], (8484 ^ _284635) ^ [] : [-(v3_membered(8476 ^ []))], (8486 ^ _284635) ^ [] : [-(v4_membered(8476 ^ []))], (8488 ^ _284635) ^ [] : [-(v5_membered(8476 ^ []))], (8491 ^ _284635) ^ [] : [-(rel_str(8489 ^ []))], (8493 ^ _284635) ^ [] : [-(strict_rel_str(8489 ^ []))], (8496 ^ _284635) ^ [] : [-(epsilon_transitive(8494 ^ []))], (8498 ^ _284635) ^ [] : [-(epsilon_connected(8494 ^ []))], (8500 ^ _284635) ^ [] : [-(ordinal(8494 ^ []))], (8503 ^ _284635) ^ [] : [-(epsilon_transitive(8501 ^ []))], (8505 ^ _284635) ^ [] : [-(epsilon_connected(8501 ^ []))], (8507 ^ _284635) ^ [] : [-(ordinal(8501 ^ []))], (8509 ^ _284635) ^ [] : [-(being_limit_ordinal(8501 ^ []))], (8512 ^ _284635) ^ [] : [-(relation(8510 ^ []))], (8514 ^ _284635) ^ [] : [-(function(8510 ^ []))], (8516 ^ _284635) ^ [] : [-(one_to_one(8510 ^ []))], (8518 ^ _284635) ^ [] : [-(empty(8510 ^ []))], (8521 ^ _284635) ^ [] : [-(empty(8519 ^ []))], (8523 ^ _284635) ^ [] : [-(relation(8519 ^ []))], (8525 ^ _284635) ^ [_571494] : [-(empty(_571494)), 8529 ^ _284635 : [(8530 ^ _284635) ^ [] : [-(element(8528 ^ [_571494], powerset(_571494)))], (8532 ^ _284635) ^ [] : [empty(8528 ^ [_571494])]]], (8534 ^ _284635) ^ [_571826] : [8542 ^ _284635 : [(8543 ^ _284635) ^ [] : [-(element(8541 ^ [_571826], powerset(the_carrier(_571826))))], (8545 ^ _284635) ^ [] : [-(open_subset(8541 ^ [_571826], _571826))]], topological_space(_571826), top_str(_571826)], (8548 ^ _284635) ^ [] : [-(empty(8546 ^ []))], (8551 ^ _284635) ^ [_572424] : [-(element(8549 ^ [_572424], powerset(_572424)))], (8553 ^ _284635) ^ [_572495] : [-(empty(8549 ^ [_572495]))], (8555 ^ _284635) ^ [_572563] : [-(relation(8549 ^ [_572563]))], (8557 ^ _284635) ^ [_572631] : [-(function(8549 ^ [_572631]))], (8559 ^ _284635) ^ [_572699] : [-(one_to_one(8549 ^ [_572699]))], (8561 ^ _284635) ^ [_572767] : [-(epsilon_transitive(8549 ^ [_572767]))], (8563 ^ _284635) ^ [_572835] : [-(epsilon_connected(8549 ^ [_572835]))], (8565 ^ _284635) ^ [_572903] : [-(ordinal(8549 ^ [_572903]))], (8567 ^ _284635) ^ [_572971] : [-(natural(8549 ^ [_572971]))], (8569 ^ _284635) ^ [_573019] : [-(finite(8549 ^ [_573019]))], (8572 ^ _284635) ^ [] : [-(relation(8570 ^ []))], (8574 ^ _284635) ^ [] : [-(empty(8570 ^ []))], (8576 ^ _284635) ^ [] : [-(function(8570 ^ []))], (8579 ^ _284635) ^ [_573424] : [-(relation_of2(8577 ^ [_573424], _573424, _573424))], (8581 ^ _284635) ^ [_573494] : [-(relation(8577 ^ [_573494]))], (8583 ^ _284635) ^ [_573562] : [-(function(8577 ^ [_573562]))], (8585 ^ _284635) ^ [_573630] : [-(one_to_one(8577 ^ [_573630]))], (8587 ^ _284635) ^ [_573698] : [-(quasi_total(8577 ^ [_573698], _573698, _573698))], (8589 ^ _284635) ^ [_573768] : [-(onto(8577 ^ [_573768], _573768, _573768))], (8591 ^ _284635) ^ [_573818] : [-(bijective(8577 ^ [_573818], _573818, _573818))], (8594 ^ _284635) ^ [] : [-(rel_str(8592 ^ []))], (8596 ^ _284635) ^ [] : [empty_carrier(8592 ^ [])], (8598 ^ _284635) ^ [] : [-(strict_rel_str(8592 ^ []))], (8600 ^ _284635) ^ [] : [-(reflexive_relstr(8592 ^ []))], (8602 ^ _284635) ^ [] : [-(transitive_relstr(8592 ^ []))], (8604 ^ _284635) ^ [] : [-(antisymmetric_relstr(8592 ^ []))], (8607 ^ _284635) ^ [] : [-(relation(8605 ^ []))], (8609 ^ _284635) ^ [] : [-(function(8605 ^ []))], (8611 ^ _284635) ^ [] : [-(one_to_one(8605 ^ []))], (8613 ^ _284635) ^ [] : [-(empty(8605 ^ []))], (8615 ^ _284635) ^ [] : [-(epsilon_transitive(8605 ^ []))], (8617 ^ _284635) ^ [] : [-(epsilon_connected(8605 ^ []))], (8619 ^ _284635) ^ [] : [-(ordinal(8605 ^ []))], (8622 ^ _284635) ^ [_574839, _574841] : [-(relation_of2(8620 ^ [_574839, _574841], _574841, _574839))], (8624 ^ _284635) ^ [_574913, _574915] : [-(relation(8620 ^ [_574913, _574915]))], (8626 ^ _284635) ^ [_574965, _574967] : [-(function(8620 ^ [_574965, _574967]))], (8629 ^ _284635) ^ [] : [empty(8627 ^ [])], (8631 ^ _284635) ^ [] : [-(relation(8627 ^ []))], (8634 ^ _284635) ^ [_575271] : [-(element(8632 ^ [_575271], powerset(_575271)))], (8636 ^ _284635) ^ [_575322] : [-(empty(8632 ^ [_575322]))], (8639 ^ _284635) ^ [_575477] : [-(element(8637 ^ [_575477], powerset(_575477)))], (8641 ^ _284635) ^ [_575527] : [proper_element(8637 ^ [_575527], powerset(_575527))], (8643 ^ _284635) ^ [_575629] : [8651 ^ _284635 : [(8652 ^ _284635) ^ [] : [-(element(8650 ^ [_575629], powerset(the_carrier(_575629))))], (8654 ^ _284635) ^ [] : [-(open_subset(8650 ^ [_575629], _575629))], (8656 ^ _284635) ^ [] : [-(closed_subset(8650 ^ [_575629], _575629))]], topological_space(_575629), top_str(_575629)], (8659 ^ _284635) ^ [] : [empty(8657 ^ [])], (8661 ^ _284635) ^ [_576220] : [-(empty(_576220)), 8665 ^ _284635 : [(8666 ^ _284635) ^ [] : [-(element(8664 ^ [_576220], powerset(_576220)))], (8668 ^ _284635) ^ [] : [empty(8664 ^ [_576220])], (8670 ^ _284635) ^ [] : [-(finite(8664 ^ [_576220]))]]], (8673 ^ _284635) ^ [] : [-(relation(8671 ^ []))], (8675 ^ _284635) ^ [] : [-(function(8671 ^ []))], (8677 ^ _284635) ^ [] : [-(one_to_one(8671 ^ []))], (8680 ^ _284635) ^ [] : [-(latt_str(8678 ^ []))], (8682 ^ _284635) ^ [] : [-(strict_latt_str(8678 ^ []))], (8685 ^ _284635) ^ [] : [empty(8683 ^ [])], (8687 ^ _284635) ^ [] : [-(epsilon_transitive(8683 ^ []))], (8689 ^ _284635) ^ [] : [-(epsilon_connected(8683 ^ []))], (8691 ^ _284635) ^ [] : [-(ordinal(8683 ^ []))], (8694 ^ _284635) ^ [_577337] : [-(relation_of2(8692 ^ [_577337], _577337, _577337))], (8696 ^ _284635) ^ [_577407] : [-(relation(8692 ^ [_577407]))], (8698 ^ _284635) ^ [_577475] : [-(reflexive(8692 ^ [_577475]))], (8700 ^ _284635) ^ [_577543] : [-(symmetric(8692 ^ [_577543]))], (8702 ^ _284635) ^ [_577611] : [-(antisymmetric(8692 ^ [_577611]))], (8704 ^ _284635) ^ [_577679] : [-(transitive(8692 ^ [_577679]))], (8706 ^ _284635) ^ [_577727] : [-(v1_partfun1(8692 ^ [_577727], _577727, _577727))], (8709 ^ _284635) ^ [] : [-(relation(8707 ^ []))], (8711 ^ _284635) ^ [] : [-(relation_empty_yielding(8707 ^ []))], (8714 ^ _284635) ^ [] : [-(one_sorted_str(8712 ^ []))], (8716 ^ _284635) ^ [] : [empty_carrier(8712 ^ [])], (8718 ^ _284635) ^ [_578137] : [-(empty(_578137)), 8722 ^ _284635 : [(8723 ^ _284635) ^ [] : [-(element(8721 ^ [_578137], powerset(_578137)))], (8725 ^ _284635) ^ [] : [empty(8721 ^ [_578137])], (8727 ^ _284635) ^ [] : [-(finite(8721 ^ [_578137]))]]], (8730 ^ _284635) ^ [] : [-(relation(8728 ^ []))], (8732 ^ _284635) ^ [] : [-(relation_empty_yielding(8728 ^ []))], (8734 ^ _284635) ^ [] : [-(function(8728 ^ []))], (8736 ^ _284635) ^ [_578758] : [8744 ^ _284635 : [(8745 ^ _284635) ^ [] : [-(element(8743 ^ [_578758], powerset(the_carrier(_578758))))], (8747 ^ _284635) ^ [] : [empty(8743 ^ [_578758])]], -(empty_carrier(_578758)), one_sorted_str(_578758)], (8750 ^ _284635) ^ [] : [-(latt_str(8748 ^ []))], (8752 ^ _284635) ^ [] : [empty_carrier(8748 ^ [])], (8754 ^ _284635) ^ [] : [-(strict_latt_str(8748 ^ []))], (8756 ^ _284635) ^ [_579389] : [8764 ^ _284635 : [(8765 ^ _284635) ^ [] : [-(element(8763 ^ [_579389], powerset(the_carrier(_579389))))], (8767 ^ _284635) ^ [] : [-(closed_subset(8763 ^ [_579389], _579389))]], topological_space(_579389), top_str(_579389)], (8769 ^ _284635) ^ [_579807] : [8781 ^ _284635 : [(8782 ^ _284635) ^ [] : [-(element(8780 ^ [_579807], powerset(the_carrier(_579807))))], (8784 ^ _284635) ^ [] : [empty(8780 ^ [_579807])], (8786 ^ _284635) ^ [] : [-(closed_subset(8780 ^ [_579807], _579807))]], -(empty_carrier(_579807)), topological_space(_579807), top_str(_579807)], (8789 ^ _284635) ^ [] : [-(latt_str(8787 ^ []))], (8791 ^ _284635) ^ [] : [empty_carrier(8787 ^ [])], (8793 ^ _284635) ^ [] : [-(strict_latt_str(8787 ^ []))], (8795 ^ _284635) ^ [] : [-(join_commutative(8787 ^ []))], (8797 ^ _284635) ^ [] : [-(join_associative(8787 ^ []))], (8799 ^ _284635) ^ [] : [-(meet_commutative(8787 ^ []))], (8801 ^ _284635) ^ [] : [-(meet_associative(8787 ^ []))], (8803 ^ _284635) ^ [] : [-(meet_absorbing(8787 ^ []))], (8805 ^ _284635) ^ [] : [-(join_absorbing(8787 ^ []))], (8807 ^ _284635) ^ [] : [-(lattice(8787 ^ []))], (8809 ^ _284635) ^ [_581066, _581068, _581070, _581072] : [-(k10_filter_1(_581072, _581070, _581068, _581066) = ordered_pair(_581068, _581066)), -(empty_carrier(_581072)), lattice(_581072), latt_str(_581072), -(empty_carrier(_581070)), lattice(_581070), latt_str(_581070), element(_581068, the_carrier(_581072)), element(_581066, the_carrier(_581070))], (8843 ^ _284635) ^ [_582013, _582015, _582017, _582019] : [-(ordered_pair_as_product_element(_582019, _582017, _582015, _582013) = ordered_pair(_582015, _582013)), -(empty(_582019)), -(empty(_582017)), element(_582015, _582019), element(_582013, _582017)], (8861 ^ _284635) ^ [_582515] : [-(k1_pcomps_1(_582515) = powerset(_582515))], (8863 ^ _284635) ^ [_582682, _582684, _582686, _582688, _582690, _582692] : [-(apply_binary_as_element(_582692, _582690, _582688, _582686, _582684, _582682) = apply_binary(_582686, _582684, _582682)), -(empty(_582692)), -(empty(_582690)), function(_582686), quasi_total(_582686, cartesian_product2(_582692, _582690), _582688), relation_of2(_582686, cartesian_product2(_582692, _582690), _582688), element(_582684, _582692), element(_582682, _582690)], (8893 ^ _284635) ^ [_583570] : [-(k2_lattice3(_583570) = relation_of_lattice(_583570)), -(empty_carrier(_583570)), lattice(_583570), latt_str(_583570)], (8907 ^ _284635) ^ [_583963, _583965, _583967] : [-(join_commut(_583967, _583965, _583963) = join(_583967, _583965, _583963)), -(empty_carrier(_583967)), join_commutative(_583967), join_semilatt_str(_583967), element(_583965, the_carrier(_583967)), element(_583963, the_carrier(_583967))], (8929 ^ _284635) ^ [_584586, _584588, _584590] : [-(meet_commut(_584590, _584588, _584586) = meet(_584590, _584588, _584586)), -(empty_carrier(_584590)), meet_commutative(_584590), meet_semilatt_str(_584590), element(_584588, the_carrier(_584590)), element(_584586, the_carrier(_584590))], (8951 ^ _284635) ^ [_585209, _585211, _585213] : [relation_of2(_585209, _585213, _585211), -(relation_dom_as_subset(_585213, _585211, _585209) = relation_dom(_585209))], (8957 ^ _284635) ^ [_585453, _585455, _585457] : [-(subset_union2(_585457, _585455, _585453) = set_union2(_585455, _585453)), element(_585455, powerset(_585457)), element(_585453, powerset(_585457))], (8967 ^ _284635) ^ [_585798, _585800, _585802] : [relation_of2(_585798, _585802, _585800), -(relation_rng_as_subset(_585802, _585800, _585798) = relation_rng(_585798))], (8973 ^ _284635) ^ [_586028, _586030] : [element(_586028, powerset(powerset(_586030))), -(union_of_subsets(_586030, _586028) = union(_586028))], (8979 ^ _284635) ^ [_586270, _586272, _586274] : [-(subset_intersection2(_586274, _586272, _586270) = set_intersection2(_586272, _586270)), element(_586272, powerset(_586274)), element(_586270, powerset(_586274))], (8989 ^ _284635) ^ [_586572] : [-(identity_as_relation_of(_586572) = identity_relation(_586572))], (8991 ^ _284635) ^ [_586683, _586685] : [element(_586683, powerset(powerset(_586685))), -(meet_of_subsets(_586685, _586683) = set_meet(_586683))], (8997 ^ _284635) ^ [_586925, _586927, _586929] : [-(subset_difference(_586929, _586927, _586925) = set_difference(_586927, _586925)), element(_586927, powerset(_586929)), element(_586925, powerset(_586929))], (9007 ^ _284635) ^ [_587284, _587286, _587288, _587290] : [-(apply_as_element(_587290, _587288, _587286, _587284) = apply(_587286, _587284)), -(empty(_587290)), function(_587286), quasi_total(_587286, _587290, _587288), relation_of2(_587286, _587290, _587288), element(_587284, _587290)], (9029 ^ _284635) ^ [_587956, _587958, _587960] : [relation_of2_as_subset(_587956, _587960, _587958), -(relation_of2(_587956, _587960, _587958))], (9035 ^ _284635) ^ [_588128, _588130, _588132] : [relation_of2(_588128, _588132, _588130), -(relation_of2_as_subset(_588128, _588132, _588130))], (9041 ^ _284635) ^ [_588350, _588352] : [ordinal(_588352), ordinal(_588350), 9048 ^ _284635 : [(9049 ^ _284635) ^ [] : [ordinal_subset(_588352, _588350), -(subset(_588352, _588350))], (9055 ^ _284635) ^ [] : [subset(_588352, _588350), -(ordinal_subset(_588352, _588350))]]], (9061 ^ _284635) ^ [_588926, _588928] : [equipotent(_588928, _588926), -(are_equipotent(_588928, _588926))], (9067 ^ _284635) ^ [_589088, _589090] : [are_equipotent(_589090, _589088), -(equipotent(_589090, _589088))], (9073 ^ _284635) ^ [_589314, _589316, _589318] : [9100 ^ _284635 : [(9101 ^ _284635) ^ [] : [below_refl(_589318, _589316, _589314), -(below(_589318, _589316, _589314))], (9107 ^ _284635) ^ [] : [below(_589318, _589316, _589314), -(below_refl(_589318, _589316, _589314))]], -(empty_carrier(_589318)), meet_commutative(_589318), meet_absorbing(_589318), join_absorbing(_589318), latt_str(_589318), element(_589316, the_carrier(_589318)), element(_589314, the_carrier(_589318))], (9113 ^ _284635) ^ [_590369, _590371, _590373] : [9132 ^ _284635 : [(9133 ^ _284635) ^ [] : [related_reflexive(_590373, _590371, _590369), -(related(_590373, _590371, _590369))], (9139 ^ _284635) ^ [] : [related(_590373, _590371, _590369), -(related_reflexive(_590373, _590371, _590369))]], -(empty_carrier(_590373)), reflexive_relstr(_590373), rel_str(_590373), element(_590371, the_carrier(_590373)), element(_590369, the_carrier(_590373))], (9145 ^ _284635) ^ [_591228, _591230] : [-(ordinal_subset(_591230, _591230)), ordinal(_591230), ordinal(_591228)], (9155 ^ _284635) ^ [_591508, _591510] : [-(subset(_591510, _591510))], (9157 ^ _284635) ^ [_591602, _591604] : [-(equipotent(_591604, _591604))], (9159 ^ _284635) ^ [_591725, _591727, _591729] : [-(below_refl(_591729, _591727, _591727)), -(empty_carrier(_591729)), meet_commutative(_591729), meet_absorbing(_591729), join_absorbing(_591729), latt_str(_591729), element(_591727, the_carrier(_591729)), element(_591725, the_carrier(_591729))], (9189 ^ _284635) ^ [_592516, _592518, _592520] : [-(related_reflexive(_592520, _592518, _592518)), -(empty_carrier(_592520)), reflexive_relstr(_592520), rel_str(_592520), element(_592518, the_carrier(_592520)), element(_592516, the_carrier(_592520))], (9211 ^ _284635) ^ [_593111, _593113] : [-(empty(_593113)), relation(_593111), 9223 ^ _284635 : [(9250 ^ _284635) ^ [] : [9221 ^ [_593111, _593113] = 9222 ^ [_593111, _593113]], (9224 ^ _284635) ^ [] : [-(in(9220 ^ [_593111, _593113], _593113))], (9227 ^ _284635) ^ [] : [-(9220 ^ [_593111, _593113] = 9225 ^ [_593111, _593113])], (9229 ^ _284635) ^ [] : [-(in(9221 ^ [_593111, _593113], 9225 ^ [_593111, _593113]))], (9231 ^ _284635) ^ [_594393] : [in(_594393, 9225 ^ [_593111, _593113]), -(in(ordered_pair(9221 ^ [_593111, _593113], _594393), _593111))], (9237 ^ _284635) ^ [] : [-(in(9220 ^ [_593111, _593113], _593113))], (9240 ^ _284635) ^ [] : [-(9220 ^ [_593111, _593113] = 9238 ^ [_593111, _593113])], (9242 ^ _284635) ^ [] : [-(in(9222 ^ [_593111, _593113], 9238 ^ [_593111, _593113]))], (9244 ^ _284635) ^ [_594942] : [in(_594942, 9238 ^ [_593111, _593113]), -(in(ordered_pair(9222 ^ [_593111, _593113], _594942), _593111))]], 9252 ^ _284635 : [(9253 ^ _284635) ^ [] : [-(relation(9251 ^ [_593111, _593113]))], (9255 ^ _284635) ^ [] : [-(function(9251 ^ [_593111, _593113]))], (9257 ^ _284635) ^ [_595541, _595543] : [in(ordered_pair(_595543, _595541), 9251 ^ [_593111, _593113]), 9260 ^ _284635 : [(9261 ^ _284635) ^ [] : [-(in(_595543, _593113))], (9263 ^ _284635) ^ [] : [-(in(_595543, _593113))], (9266 ^ _284635) ^ [] : [-(_595543 = 9264 ^ [_593111, _593113, _595541, _595543])], (9268 ^ _284635) ^ [] : [-(in(_595541, 9264 ^ [_593111, _593113, _595541, _595543]))], (9270 ^ _284635) ^ [_596123] : [in(_596123, 9264 ^ [_593111, _593113, _595541, _595543]), -(in(ordered_pair(_595541, _596123), _593111))]]], (9276 ^ _284635) ^ [_596352, _596354] : [-(in(ordered_pair(_596354, _596352), 9251 ^ [_593111, _593113])), in(_596354, _593113), in(_596354, _593113), 9285 ^ _284635 : [(9286 ^ _284635) ^ [_596668] : [_596354 = _596668, in(_596352, _596668), 9294 ^ _284635 : [(9295 ^ _284635) ^ [] : [-(in(9293 ^ [_593111, _593113, _596352, _596354, _596668], _596668))], (9297 ^ _284635) ^ [] : [in(ordered_pair(_596352, 9293 ^ [_593111, _593113, _596352, _596354, _596668]), _593111)]]]]]]], (9301 ^ _284635) ^ [_597265] : [9305 ^ _284635 : [(9306 ^ _284635) ^ [] : [-(in(9302 ^ [_597265], _597265))], (9308 ^ _284635) ^ [] : [-(9303 ^ [_597265] = singleton(9302 ^ [_597265]))], (9310 ^ _284635) ^ [] : [-(in(9302 ^ [_597265], _597265))], (9312 ^ _284635) ^ [] : [-(9304 ^ [_597265] = singleton(9302 ^ [_597265]))], (9314 ^ _284635) ^ [] : [9303 ^ [_597265] = 9304 ^ [_597265]]], 9316 ^ _284635 : [(9317 ^ _284635) ^ [] : [-(relation(9315 ^ [_597265]))], (9319 ^ _284635) ^ [] : [-(function(9315 ^ [_597265]))], (9321 ^ _284635) ^ [_598327, _598329] : [in(ordered_pair(_598329, _598327), 9315 ^ [_597265]), 9324 ^ _284635 : [(9325 ^ _284635) ^ [] : [-(in(_598329, _597265))], (9327 ^ _284635) ^ [] : [-(in(_598329, _597265))], (9329 ^ _284635) ^ [] : [-(_598327 = singleton(_598329))]]], (9331 ^ _284635) ^ [_598670, _598672] : [-(in(ordered_pair(_598672, _598670), 9315 ^ [_597265])), in(_598672, _597265), in(_598672, _597265), _598670 = singleton(_598672)]]], (9345 ^ _284635) ^ [_599106, _599108] : [one_sorted_str(_599108), element(_599106, powerset(powerset(the_carrier(_599108)))), 9357 ^ _284635 : [(9382 ^ _284635) ^ [] : [9355 ^ [_599106, _599108] = 9356 ^ [_599106, _599108]], (9358 ^ _284635) ^ [] : [-(in(9354 ^ [_599106, _599108], complements_of_subsets(the_carrier(_599108), _599106)))], (9360 ^ _284635) ^ [_600150] : [element(_600150, powerset(the_carrier(_599108))), _600150 = 9354 ^ [_599106, _599108], -(9355 ^ [_599106, _599108] = subset_complement(the_carrier(_599108), _600150))], (9370 ^ _284635) ^ [] : [-(in(9354 ^ [_599106, _599108], complements_of_subsets(the_carrier(_599108), _599106)))], (9372 ^ _284635) ^ [_600553] : [element(_600553, powerset(the_carrier(_599108))), _600553 = 9354 ^ [_599106, _599108], -(9356 ^ [_599106, _599108] = subset_complement(the_carrier(_599108), _600553))]], 9384 ^ _284635 : [(9385 ^ _284635) ^ [] : [-(relation(9383 ^ [_599106, _599108]))], (9387 ^ _284635) ^ [] : [-(function(9383 ^ [_599106, _599108]))], (9389 ^ _284635) ^ [_601254, _601256] : [in(ordered_pair(_601256, _601254), 9383 ^ [_599106, _599108]), 9392 ^ _284635 : [(9393 ^ _284635) ^ [] : [-(in(_601256, complements_of_subsets(the_carrier(_599108), _599106)))], (9395 ^ _284635) ^ [] : [-(in(_601256, complements_of_subsets(the_carrier(_599108), _599106)))], (9397 ^ _284635) ^ [_601610] : [element(_601610, powerset(the_carrier(_599108))), _601610 = _601256, -(_601254 = subset_complement(the_carrier(_599108), _601610))]]], (9407 ^ _284635) ^ [_601926, _601928] : [-(in(ordered_pair(_601928, _601926), 9383 ^ [_599106, _599108])), in(_601928, complements_of_subsets(the_carrier(_599108), _599106)), in(_601928, complements_of_subsets(the_carrier(_599108), _599106)), 9417 ^ _284635 : [(9418 ^ _284635) ^ [] : [-(element(9416 ^ [_599106, _599108, _601926, _601928], powerset(the_carrier(_599108))))], (9420 ^ _284635) ^ [] : [-(9416 ^ [_599106, _599108, _601926, _601928] = _601928)], (9422 ^ _284635) ^ [] : [_601926 = subset_complement(the_carrier(_599108), 9416 ^ [_599106, _599108, _601926, _601928])]]]]], (9426 ^ _284635) ^ [_602691, _602693] : [one_sorted_str(_602693), element(_602691, powerset(powerset(the_carrier(_602693)))), 9438 ^ _284635 : [(9463 ^ _284635) ^ [] : [9436 ^ [_602691, _602693] = 9437 ^ [_602691, _602693]], (9439 ^ _284635) ^ [] : [-(in(9435 ^ [_602691, _602693], _602691))], (9441 ^ _284635) ^ [_603680] : [element(_603680, powerset(the_carrier(_602693))), _603680 = 9435 ^ [_602691, _602693], -(9436 ^ [_602691, _602693] = subset_complement(the_carrier(_602693), _603680))], (9451 ^ _284635) ^ [] : [-(in(9435 ^ [_602691, _602693], _602691))], (9453 ^ _284635) ^ [_604078] : [element(_604078, powerset(the_carrier(_602693))), _604078 = 9435 ^ [_602691, _602693], -(9437 ^ [_602691, _602693] = subset_complement(the_carrier(_602693), _604078))]], 9465 ^ _284635 : [(9466 ^ _284635) ^ [] : [-(relation(9464 ^ [_602691, _602693]))], (9468 ^ _284635) ^ [] : [-(function(9464 ^ [_602691, _602693]))], (9470 ^ _284635) ^ [_604769, _604771] : [in(ordered_pair(_604771, _604769), 9464 ^ [_602691, _602693]), 9473 ^ _284635 : [(9474 ^ _284635) ^ [] : [-(in(_604771, _602691))], (9476 ^ _284635) ^ [] : [-(in(_604771, _602691))], (9478 ^ _284635) ^ [_605105] : [element(_605105, powerset(the_carrier(_602693))), _605105 = _604771, -(_604769 = subset_complement(the_carrier(_602693), _605105))]]], (9488 ^ _284635) ^ [_605421, _605423] : [-(in(ordered_pair(_605423, _605421), 9464 ^ [_602691, _602693])), in(_605423, _602691), in(_605423, _602691), 9498 ^ _284635 : [(9499 ^ _284635) ^ [] : [-(element(9497 ^ [_602691, _602693, _605421, _605423], powerset(the_carrier(_602693))))], (9501 ^ _284635) ^ [] : [-(9497 ^ [_602691, _602693, _605421, _605423] = _605423)], (9503 ^ _284635) ^ [] : [_605421 = subset_complement(the_carrier(_602693), 9497 ^ [_602691, _602693, _605421, _605423])]]]]], (9507 ^ _284635) ^ [_606152] : [9508 ^ _284635 : [(9509 ^ _284635) ^ [_606273] : [ordinal(_606273), in(_606273, _606152)]], 9515 ^ _284635 : [(9516 ^ _284635) ^ [] : [-(ordinal(9514 ^ [_606152]))], (9518 ^ _284635) ^ [] : [-(in(9514 ^ [_606152], _606152))], (9520 ^ _284635) ^ [_606653] : [ordinal(_606653), in(_606653, _606152), -(ordinal_subset(9514 ^ [_606152], _606653))]]], (9530 ^ _284635) ^ [] : [9657 ^ _284635 : [(9658 ^ _284635) ^ [_611420] : [ordinal(_611420), in(_611420, omega), 9665 ^ _284635 : [(9666 ^ _284635) ^ [_611676] : [element(_611676, powerset(powerset(_611420))), -(_611676 = empty_set), 9674 ^ _284635 : [(9675 ^ _284635) ^ [] : [-(in(9673 ^ [_611420, _611676], _611676))], (9677 ^ _284635) ^ [_612075] : [-(_612075 = 9673 ^ [_611420, _611676]), in(_612075, _611676), subset(9673 ^ [_611420, _611676], _612075)]]]]]], 9533 ^ _284635 : [(9534 ^ _284635) ^ [] : [-(in(empty_set, omega))], (9537 ^ _284635) ^ [] : [-(element(9535 ^ [], powerset(powerset(empty_set))))], (9539 ^ _284635) ^ [] : [9535 ^ [] = empty_set], (9541 ^ _284635) ^ [_607259] : [in(_607259, 9535 ^ []), 9545 ^ _284635 : [(9546 ^ _284635) ^ [] : [-(in(9544 ^ [_607259], 9535 ^ []))], (9548 ^ _284635) ^ [] : [-(subset(_607259, 9544 ^ [_607259]))], (9550 ^ _284635) ^ [] : [9544 ^ [_607259] = _607259]]]], 9554 ^ _284635 : [(9555 ^ _284635) ^ [] : [-(ordinal(9553 ^ []))], (9582 ^ _284635) ^ [] : [-(in(succ(9553 ^ []), omega))], (9585 ^ _284635) ^ [] : [-(element(9583 ^ [], powerset(powerset(succ(9553 ^ [])))))], (9587 ^ _284635) ^ [] : [9583 ^ [] = empty_set], (9589 ^ _284635) ^ [_608910] : [in(_608910, 9583 ^ []), 9593 ^ _284635 : [(9594 ^ _284635) ^ [] : [-(in(9592 ^ [_608910], 9583 ^ []))], (9596 ^ _284635) ^ [] : [-(subset(_608910, 9592 ^ [_608910]))], (9598 ^ _284635) ^ [] : [9592 ^ [_608910] = _608910]]], (9557 ^ _284635) ^ [] : [in(9553 ^ [], omega), 9560 ^ _284635 : [(9561 ^ _284635) ^ [_607993] : [element(_607993, powerset(powerset(9553 ^ []))), -(_607993 = empty_set), 9569 ^ _284635 : [(9570 ^ _284635) ^ [] : [-(in(9568 ^ [_607993], _607993))], (9572 ^ _284635) ^ [_608366] : [-(_608366 = 9568 ^ [_607993]), in(_608366, _607993), subset(9568 ^ [_607993], _608366)]]]]]], 9600 ^ _284635 : [(9601 ^ _284635) ^ [] : [-(ordinal(9599 ^ []))], (9638 ^ _284635) ^ [] : [9599 ^ [] = empty_set], (9640 ^ _284635) ^ [] : [-(in(9599 ^ [], omega))], (9643 ^ _284635) ^ [] : [-(element(9641 ^ [], powerset(powerset(9599 ^ []))))], (9645 ^ _284635) ^ [] : [9641 ^ [] = empty_set], (9647 ^ _284635) ^ [_611000] : [in(_611000, 9641 ^ []), 9651 ^ _284635 : [(9652 ^ _284635) ^ [] : [-(in(9650 ^ [_611000], 9641 ^ []))], (9654 ^ _284635) ^ [] : [-(subset(_611000, 9650 ^ [_611000]))], (9656 ^ _284635) ^ [] : [9650 ^ [_611000] = _611000]]], (9603 ^ _284635) ^ [] : [-(being_limit_ordinal(9599 ^ []))], (9605 ^ _284635) ^ [_609638] : [ordinal(_609638), in(_609638, 9599 ^ []), in(_609638, omega), 9616 ^ _284635 : [(9617 ^ _284635) ^ [_609975] : [element(_609975, powerset(powerset(_609638))), -(_609975 = empty_set), 9625 ^ _284635 : [(9626 ^ _284635) ^ [] : [-(in(9624 ^ [_609638, _609975], _609975))], (9628 ^ _284635) ^ [_610374] : [-(_610374 = 9624 ^ [_609638, _609975]), in(_610374, _609975), subset(9624 ^ [_609638, _609975], _610374)]]]]]]], (9687 ^ _284635) ^ [_612455, _612457, _612459] : [relation(_612457), relation(_612455), function(_612455), 9699 ^ _284635 : [(9700 ^ _284635) ^ [] : [-(relation(9698 ^ [_612455, _612457, _612459]))], (9702 ^ _284635) ^ [_613028, _613030] : [in(ordered_pair(_613030, _613028), 9698 ^ [_612455, _612457, _612459]), 9705 ^ _284635 : [(9706 ^ _284635) ^ [] : [-(in(_613030, _612459))], (9708 ^ _284635) ^ [] : [-(in(_613028, _612459))], (9710 ^ _284635) ^ [] : [-(in(ordered_pair(apply(_612455, _613030), apply(_612455, _613028)), _612457))]]], (9712 ^ _284635) ^ [_613417, _613419] : [-(in(ordered_pair(_613419, _613417), 9698 ^ [_612455, _612457, _612459])), in(_613419, _612459), in(_613417, _612459), in(ordered_pair(apply(_612455, _613419), apply(_612455, _613417)), _612457)]]], (9726 ^ _284635) ^ [_613908, _613910] : [-(empty(_613910)), relation(_613908), 9738 ^ _284635 : [(9765 ^ _284635) ^ [] : [9736 ^ [_613908, _613910] = 9737 ^ [_613908, _613910]], (9739 ^ _284635) ^ [] : [-(in(9735 ^ [_613908, _613910], _613910))], (9742 ^ _284635) ^ [] : [-(9735 ^ [_613908, _613910] = 9740 ^ [_613908, _613910])], (9744 ^ _284635) ^ [] : [-(in(9736 ^ [_613908, _613910], 9740 ^ [_613908, _613910]))], (9746 ^ _284635) ^ [_615177] : [in(_615177, 9740 ^ [_613908, _613910]), -(in(ordered_pair(9736 ^ [_613908, _613910], _615177), _613908))], (9752 ^ _284635) ^ [] : [-(in(9735 ^ [_613908, _613910], _613910))], (9755 ^ _284635) ^ [] : [-(9735 ^ [_613908, _613910] = 9753 ^ [_613908, _613910])], (9757 ^ _284635) ^ [] : [-(in(9737 ^ [_613908, _613910], 9753 ^ [_613908, _613910]))], (9759 ^ _284635) ^ [_615726] : [in(_615726, 9753 ^ [_613908, _613910]), -(in(ordered_pair(9737 ^ [_613908, _613910], _615726), _613908))]], 9767 ^ _284635 : [(9768 ^ _284635) ^ [_616154] : [in(_616154, 9766 ^ [_613908, _613910]), 9772 ^ _284635 : [(9773 ^ _284635) ^ [] : [-(in(9771 ^ [_613908, _613910, _616154], _613910))], (9775 ^ _284635) ^ [] : [-(in(9771 ^ [_613908, _613910, _616154], _613910))], (9778 ^ _284635) ^ [] : [-(9771 ^ [_613908, _613910, _616154] = 9776 ^ [_613908, _613910, _616154])], (9780 ^ _284635) ^ [] : [-(in(_616154, 9776 ^ [_613908, _613910, _616154]))], (9782 ^ _284635) ^ [_616843] : [in(_616843, 9776 ^ [_613908, _613910, _616154]), -(in(ordered_pair(_616154, _616843), _613908))]]], (9788 ^ _284635) ^ [_617060] : [-(in(_617060, 9766 ^ [_613908, _613910])), 9789 ^ _284635 : [(9790 ^ _284635) ^ [_617202] : [in(_617202, _613910), in(_617202, _613910), 9797 ^ _284635 : [(9798 ^ _284635) ^ [_617466] : [_617202 = _617466, in(_617060, _617466), 9806 ^ _284635 : [(9807 ^ _284635) ^ [] : [-(in(9805 ^ [_613908, _613910, _617060, _617202, _617466], _617466))], (9809 ^ _284635) ^ [] : [in(ordered_pair(_617060, 9805 ^ [_613908, _613910, _617060, _617202, _617466]), _613908)]]]]]]]]], (9813 ^ _284635) ^ [_618069, _618071] : [-(empty(_618071)), relation(_618069), 9820 ^ _284635 : [(9821 ^ _284635) ^ [_618537] : [9825 ^ _284635 : [(9864 ^ _284635) ^ [] : [9823 ^ [_618069, _618071, _618537] = 9824 ^ [_618069, _618071, _618537]], (9826 ^ _284635) ^ [] : [-(9822 ^ [_618069, _618071, _618537] = 9823 ^ [_618069, _618071, _618537])], (9830 ^ _284635) ^ [] : [-(ordered_pair(9827 ^ [_618069, _618071, _618537], 9828 ^ [_618069, _618071, _618537]) = 9823 ^ [_618069, _618071, _618537])], (9832 ^ _284635) ^ [] : [-(in(9827 ^ [_618069, _618071, _618537], _618071))], (9835 ^ _284635) ^ [] : [-(9827 ^ [_618069, _618071, _618537] = 9833 ^ [_618069, _618071, _618537])], (9837 ^ _284635) ^ [] : [-(in(9828 ^ [_618069, _618071, _618537], 9833 ^ [_618069, _618071, _618537]))], (9839 ^ _284635) ^ [_620315] : [in(_620315, 9833 ^ [_618069, _618071, _618537]), -(in(ordered_pair(9828 ^ [_618069, _618071, _618537], _620315), _618069))], (9845 ^ _284635) ^ [] : [-(9822 ^ [_618069, _618071, _618537] = 9824 ^ [_618069, _618071, _618537])], (9849 ^ _284635) ^ [] : [-(ordered_pair(9846 ^ [_618069, _618071, _618537], 9847 ^ [_618069, _618071, _618537]) = 9824 ^ [_618069, _618071, _618537])], (9851 ^ _284635) ^ [] : [-(in(9846 ^ [_618069, _618071, _618537], _618071))], (9854 ^ _284635) ^ [] : [-(9846 ^ [_618069, _618071, _618537] = 9852 ^ [_618069, _618071, _618537])], (9856 ^ _284635) ^ [] : [-(in(9847 ^ [_618069, _618071, _618537], 9852 ^ [_618069, _618071, _618537]))], (9858 ^ _284635) ^ [_621334] : [in(_621334, 9852 ^ [_618069, _618071, _618537]), -(in(ordered_pair(9847 ^ [_618069, _618071, _618537], _621334), _618069))]], 9866 ^ _284635 : [(9867 ^ _284635) ^ [_621824] : [in(_621824, 9865 ^ [_618069, _618071, _618537]), 9871 ^ _284635 : [(9872 ^ _284635) ^ [] : [-(in(9870 ^ [_618069, _618071, _618537, _621824], cartesian_product2(_618071, _618537)))], (9874 ^ _284635) ^ [] : [-(9870 ^ [_618069, _618071, _618537, _621824] = _621824)], (9878 ^ _284635) ^ [] : [-(ordered_pair(9875 ^ [_618069, _618071, _618537, _621824], 9876 ^ [_618069, _618071, _618537, _621824]) = _621824)], (9880 ^ _284635) ^ [] : [-(in(9875 ^ [_618069, _618071, _618537, _621824], _618071))], (9883 ^ _284635) ^ [] : [-(9875 ^ [_618069, _618071, _618537, _621824] = 9881 ^ [_618069, _618071, _618537, _621824])], (9885 ^ _284635) ^ [] : [-(in(9876 ^ [_618069, _618071, _618537, _621824], 9881 ^ [_618069, _618071, _618537, _621824]))], (9887 ^ _284635) ^ [_623055] : [in(_623055, 9881 ^ [_618069, _618071, _618537, _621824]), -(in(ordered_pair(9876 ^ [_618069, _618071, _618537, _621824], _623055), _618069))]]], (9893 ^ _284635) ^ [_623310] : [-(in(_623310, 9865 ^ [_618069, _618071, _618537])), 9894 ^ _284635 : [(9895 ^ _284635) ^ [_623486] : [in(_623486, cartesian_product2(_618071, _618537)), _623486 = _623310, 9902 ^ _284635 : [(9903 ^ _284635) ^ [_623805, _623807] : [ordered_pair(_623807, _623805) = _623310, in(_623807, _618071), 9910 ^ _284635 : [(9911 ^ _284635) ^ [_624103] : [_623807 = _624103, in(_623805, _624103), 9919 ^ _284635 : [(9920 ^ _284635) ^ [] : [-(in(9918 ^ [_618069, _618071, _618537, _623310, _623486, _623805, _623807, _624103], _624103))], (9922 ^ _284635) ^ [] : [in(ordered_pair(_623805, 9918 ^ [_618069, _618071, _618537, _623310, _623486, _623805, _623807, _624103]), _618069)]]]]]]]]]]]]], (9926 ^ _284635) ^ [_624772] : [9930 ^ _284635 : [(9931 ^ _284635) ^ [] : [-(in(9927 ^ [_624772], _624772))], (9933 ^ _284635) ^ [] : [-(9928 ^ [_624772] = singleton(9927 ^ [_624772]))], (9935 ^ _284635) ^ [] : [-(in(9927 ^ [_624772], _624772))], (9937 ^ _284635) ^ [] : [-(9929 ^ [_624772] = singleton(9927 ^ [_624772]))], (9939 ^ _284635) ^ [] : [9928 ^ [_624772] = 9929 ^ [_624772]]], 9941 ^ _284635 : [(9942 ^ _284635) ^ [_625658] : [in(_625658, 9940 ^ [_624772]), 9946 ^ _284635 : [(9947 ^ _284635) ^ [] : [-(in(9945 ^ [_624772, _625658], _624772))], (9949 ^ _284635) ^ [] : [-(in(9945 ^ [_624772, _625658], _624772))], (9951 ^ _284635) ^ [] : [-(_625658 = singleton(9945 ^ [_624772, _625658]))]]], (9953 ^ _284635) ^ [_626070] : [-(in(_626070, 9940 ^ [_624772])), 9954 ^ _284635 : [(9955 ^ _284635) ^ [_626177] : [in(_626177, _624772), in(_626177, _624772), _626070 = singleton(_626177)]]]]], (9967 ^ _284635) ^ [_626557, _626559] : [9971 ^ _284635 : [(9972 ^ _284635) ^ [] : [-(9968 ^ [_626557, _626559] = 9969 ^ [_626557, _626559])], (9976 ^ _284635) ^ [] : [-(ordered_pair(9973 ^ [_626557, _626559], 9974 ^ [_626557, _626559]) = 9969 ^ [_626557, _626559])], (9978 ^ _284635) ^ [] : [-(in(9973 ^ [_626557, _626559], _626559))], (9980 ^ _284635) ^ [] : [-(9974 ^ [_626557, _626559] = singleton(9973 ^ [_626557, _626559]))], (9982 ^ _284635) ^ [] : [-(9968 ^ [_626557, _626559] = 9970 ^ [_626557, _626559])], (9986 ^ _284635) ^ [] : [-(ordered_pair(9983 ^ [_626557, _626559], 9984 ^ [_626557, _626559]) = 9970 ^ [_626557, _626559])], (9988 ^ _284635) ^ [] : [-(in(9983 ^ [_626557, _626559], _626559))], (9990 ^ _284635) ^ [] : [-(9984 ^ [_626557, _626559] = singleton(9983 ^ [_626557, _626559]))], (9992 ^ _284635) ^ [] : [9969 ^ [_626557, _626559] = 9970 ^ [_626557, _626559]]], 9994 ^ _284635 : [(9995 ^ _284635) ^ [_628430] : [in(_628430, 9993 ^ [_626557, _626559]), 9999 ^ _284635 : [(10000 ^ _284635) ^ [] : [-(in(9998 ^ [_626557, _626559, _628430], cartesian_product2(_626559, _626557)))], (10002 ^ _284635) ^ [] : [-(9998 ^ [_626557, _626559, _628430] = _628430)], (10006 ^ _284635) ^ [] : [-(ordered_pair(10003 ^ [_626557, _626559, _628430], 10004 ^ [_626557, _626559, _628430]) = _628430)], (10008 ^ _284635) ^ [] : [-(in(10003 ^ [_626557, _626559, _628430], _626559))], (10010 ^ _284635) ^ [] : [-(10004 ^ [_626557, _626559, _628430] = singleton(10003 ^ [_626557, _626559, _628430]))]]], (10012 ^ _284635) ^ [_629270] : [-(in(_629270, 9993 ^ [_626557, _626559])), 10013 ^ _284635 : [(10014 ^ _284635) ^ [_629411] : [in(_629411, cartesian_product2(_626559, _626557)), _629411 = _629270, 10021 ^ _284635 : [(10022 ^ _284635) ^ [_629691, _629693] : [ordered_pair(_629693, _629691) = _629270, in(_629693, _626559), _629691 = singleton(_629693)]]]]]]], (10034 ^ _284635) ^ [_630110] : [ordinal(_630110), 10042 ^ _284635 : [(10107 ^ _284635) ^ [] : [10040 ^ [_630110] = 10041 ^ [_630110]], (10043 ^ _284635) ^ [] : [-(10039 ^ [_630110] = 10040 ^ [_630110])], (10046 ^ _284635) ^ [] : [-(ordinal(10044 ^ [_630110]))], (10048 ^ _284635) ^ [] : [-(10040 ^ [_630110] = 10044 ^ [_630110])], (10050 ^ _284635) ^ [] : [in(10044 ^ [_630110], omega), 10053 ^ _284635 : [(10054 ^ _284635) ^ [_631734] : [element(_631734, powerset(powerset(10044 ^ [_630110]))), -(_631734 = empty_set), 10062 ^ _284635 : [(10063 ^ _284635) ^ [] : [-(in(10061 ^ [_630110, _631734], _631734))], (10065 ^ _284635) ^ [_632143] : [-(_632143 = 10061 ^ [_630110, _631734]), in(_632143, _631734), subset(10061 ^ [_630110, _631734], _632143)]]]]], (10075 ^ _284635) ^ [] : [-(10039 ^ [_630110] = 10041 ^ [_630110])], (10078 ^ _284635) ^ [] : [-(ordinal(10076 ^ [_630110]))], (10080 ^ _284635) ^ [] : [-(10041 ^ [_630110] = 10076 ^ [_630110])], (10082 ^ _284635) ^ [] : [in(10076 ^ [_630110], omega), 10085 ^ _284635 : [(10086 ^ _284635) ^ [_632884] : [element(_632884, powerset(powerset(10076 ^ [_630110]))), -(_632884 = empty_set), 10094 ^ _284635 : [(10095 ^ _284635) ^ [] : [-(in(10093 ^ [_630110, _632884], _632884))], (10097 ^ _284635) ^ [_633293] : [-(_633293 = 10093 ^ [_630110, _632884]), in(_633293, _632884), subset(10093 ^ [_630110, _632884], _633293)]]]]]], 10109 ^ _284635 : [(10110 ^ _284635) ^ [_633862] : [in(_633862, 10108 ^ [_630110]), 10114 ^ _284635 : [(10115 ^ _284635) ^ [] : [-(in(10113 ^ [_630110, _633862], succ(_630110)))], (10117 ^ _284635) ^ [] : [-(10113 ^ [_630110, _633862] = _633862)], (10120 ^ _284635) ^ [] : [-(ordinal(10118 ^ [_630110, _633862]))], (10122 ^ _284635) ^ [] : [-(_633862 = 10118 ^ [_630110, _633862])], (10124 ^ _284635) ^ [] : [in(10118 ^ [_630110, _633862], omega), 10127 ^ _284635 : [(10128 ^ _284635) ^ [_634728] : [element(_634728, powerset(powerset(10118 ^ [_630110, _633862]))), -(_634728 = empty_set), 10136 ^ _284635 : [(10137 ^ _284635) ^ [] : [-(in(10135 ^ [_630110, _633862, _634728], _634728))], (10139 ^ _284635) ^ [_635159] : [-(_635159 = 10135 ^ [_630110, _633862, _634728]), in(_635159, _634728), subset(10135 ^ [_630110, _633862, _634728], _635159)]]]]]]], (10149 ^ _284635) ^ [_635501] : [-(in(_635501, 10108 ^ [_630110])), 10150 ^ _284635 : [(10151 ^ _284635) ^ [_635685] : [in(_635685, succ(_630110)), _635685 = _635501, 10158 ^ _284635 : [(10159 ^ _284635) ^ [_635989] : [ordinal(_635989), _635501 = _635989, 10166 ^ _284635 : [(10167 ^ _284635) ^ [] : [-(in(_635989, omega))], (10170 ^ _284635) ^ [] : [-(element(10168 ^ [_630110, _635501, _635685, _635989], powerset(powerset(_635989))))], (10172 ^ _284635) ^ [] : [10168 ^ [_630110, _635501, _635685, _635989] = empty_set], (10174 ^ _284635) ^ [_636619] : [in(_636619, 10168 ^ [_630110, _635501, _635685, _635989]), 10178 ^ _284635 : [(10179 ^ _284635) ^ [] : [-(in(10177 ^ [_630110, _635501, _635685, _635989, _636619], 10168 ^ [_630110, _635501, _635685, _635989]))], (10181 ^ _284635) ^ [] : [-(subset(_636619, 10177 ^ [_630110, _635501, _635685, _635989, _636619]))], (10183 ^ _284635) ^ [] : [10177 ^ [_630110, _635501, _635685, _635989, _636619] = _636619]]]]]]]]]]], (10187 ^ _284635) ^ [_637277, _637279] : [topological_space(_637279), top_str(_637279), element(_637277, powerset(the_carrier(_637279))), 10203 ^ _284635 : [(10204 ^ _284635) ^ [] : [-(10200 ^ [_637277, _637279] = 10201 ^ [_637277, _637279])], (10207 ^ _284635) ^ [] : [-(element(10205 ^ [_637277, _637279], powerset(the_carrier(_637279))))], (10209 ^ _284635) ^ [] : [-(10205 ^ [_637277, _637279] = 10201 ^ [_637277, _637279])], (10211 ^ _284635) ^ [] : [-(closed_subset(10205 ^ [_637277, _637279], _637279))], (10213 ^ _284635) ^ [] : [-(subset(_637277, 10201 ^ [_637277, _637279]))], (10215 ^ _284635) ^ [] : [-(10200 ^ [_637277, _637279] = 10202 ^ [_637277, _637279])], (10218 ^ _284635) ^ [] : [-(element(10216 ^ [_637277, _637279], powerset(the_carrier(_637279))))], (10220 ^ _284635) ^ [] : [-(10216 ^ [_637277, _637279] = 10202 ^ [_637277, _637279])], (10222 ^ _284635) ^ [] : [-(closed_subset(10216 ^ [_637277, _637279], _637279))], (10224 ^ _284635) ^ [] : [-(subset(_637277, 10202 ^ [_637277, _637279]))], (10226 ^ _284635) ^ [] : [10201 ^ [_637277, _637279] = 10202 ^ [_637277, _637279]]], 10228 ^ _284635 : [(10229 ^ _284635) ^ [_639386] : [in(_639386, 10227 ^ [_637277, _637279]), 10233 ^ _284635 : [(10234 ^ _284635) ^ [] : [-(in(10232 ^ [_637277, _637279, _639386], powerset(the_carrier(_637279))))], (10236 ^ _284635) ^ [] : [-(10232 ^ [_637277, _637279, _639386] = _639386)], (10239 ^ _284635) ^ [] : [-(element(10237 ^ [_637277, _637279, _639386], powerset(the_carrier(_637279))))], (10241 ^ _284635) ^ [] : [-(10237 ^ [_637277, _637279, _639386] = _639386)], (10243 ^ _284635) ^ [] : [-(closed_subset(10237 ^ [_637277, _637279, _639386], _637279))], (10245 ^ _284635) ^ [] : [-(subset(_637277, _639386))]]], (10247 ^ _284635) ^ [_640187] : [-(in(_640187, 10227 ^ [_637277, _637279])), 10248 ^ _284635 : [(10249 ^ _284635) ^ [_640329] : [in(_640329, powerset(the_carrier(_637279))), _640329 = _640187, 10256 ^ _284635 : [(10257 ^ _284635) ^ [_640597] : [element(_640597, powerset(the_carrier(_637279))), _640597 = _640187, closed_subset(_640597, _637279), subset(_637277, _640187)]]]]]]], (10273 ^ _284635) ^ [_641127, _641129] : [topological_space(_641129), top_str(_641129), element(_641127, powerset(powerset(the_carrier(_641129)))), 10289 ^ _284635 : [(10290 ^ _284635) ^ [] : [-(10286 ^ [_641127, _641129] = 10287 ^ [_641127, _641129])], (10292 ^ _284635) ^ [] : [-(in(set_difference(cast_as_carrier_subset(_641129), 10287 ^ [_641127, _641129]), _641127))], (10294 ^ _284635) ^ [] : [-(10286 ^ [_641127, _641129] = 10288 ^ [_641127, _641129])], (10296 ^ _284635) ^ [] : [-(in(set_difference(cast_as_carrier_subset(_641129), 10288 ^ [_641127, _641129]), _641127))], (10298 ^ _284635) ^ [] : [10287 ^ [_641127, _641129] = 10288 ^ [_641127, _641129]]], 10300 ^ _284635 : [(10301 ^ _284635) ^ [_642371] : [in(_642371, 10299 ^ [_641127, _641129]), 10305 ^ _284635 : [(10306 ^ _284635) ^ [] : [-(in(10304 ^ [_641127, _641129, _642371], powerset(the_carrier(_641129))))], (10308 ^ _284635) ^ [] : [-(10304 ^ [_641127, _641129, _642371] = _642371)], (10310 ^ _284635) ^ [] : [-(in(set_difference(cast_as_carrier_subset(_641129), _642371), _641127))]]], (10312 ^ _284635) ^ [_642821] : [-(in(_642821, 10299 ^ [_641127, _641129])), 10313 ^ _284635 : [(10314 ^ _284635) ^ [_642941] : [in(_642941, powerset(the_carrier(_641129))), _642941 = _642821, in(set_difference(cast_as_carrier_subset(_641129), _642821), _641127)]]]]], (10326 ^ _284635) ^ [_643359, _643361] : [ordinal(_643361), element(_643359, powerset(powerset(succ(_643361)))), 10338 ^ _284635 : [(10339 ^ _284635) ^ [] : [-(10335 ^ [_643359, _643361] = 10336 ^ [_643359, _643361])], (10342 ^ _284635) ^ [] : [-(in(10340 ^ [_643359, _643361], _643359))], (10344 ^ _284635) ^ [] : [-(10336 ^ [_643359, _643361] = set_difference(10340 ^ [_643359, _643361], singleton(_643361)))], (10346 ^ _284635) ^ [] : [-(10335 ^ [_643359, _643361] = 10337 ^ [_643359, _643361])], (10349 ^ _284635) ^ [] : [-(in(10347 ^ [_643359, _643361], _643359))], (10351 ^ _284635) ^ [] : [-(10337 ^ [_643359, _643361] = set_difference(10347 ^ [_643359, _643361], singleton(_643361)))], (10353 ^ _284635) ^ [] : [10336 ^ [_643359, _643361] = 10337 ^ [_643359, _643361]]], 10355 ^ _284635 : [(10356 ^ _284635) ^ [_644918] : [in(_644918, 10354 ^ [_643359, _643361]), 10360 ^ _284635 : [(10361 ^ _284635) ^ [] : [-(in(10359 ^ [_643359, _643361, _644918], powerset(_643361)))], (10363 ^ _284635) ^ [] : [-(10359 ^ [_643359, _643361, _644918] = _644918)], (10366 ^ _284635) ^ [] : [-(in(10364 ^ [_643359, _643361, _644918], _643359))], (10368 ^ _284635) ^ [] : [-(_644918 = set_difference(10364 ^ [_643359, _643361, _644918], singleton(_643361)))]]], (10370 ^ _284635) ^ [_645532] : [-(in(_645532, 10354 ^ [_643359, _643361])), 10371 ^ _284635 : [(10372 ^ _284635) ^ [_645661] : [in(_645661, powerset(_643361)), _645661 = _645532, 10379 ^ _284635 : [(10380 ^ _284635) ^ [_645914] : [in(_645914, _643359), _645532 = set_difference(_645914, singleton(_643361))]]]]]]], (10388 ^ _284635) ^ [_646242, _646244] : [one_sorted_str(_646244), element(_646242, powerset(powerset(the_carrier(_646244)))), 10400 ^ _284635 : [(10425 ^ _284635) ^ [] : [10398 ^ [_646242, _646244] = 10399 ^ [_646242, _646244]], (10401 ^ _284635) ^ [] : [-(in(10397 ^ [_646242, _646244], complements_of_subsets(the_carrier(_646244), _646242)))], (10403 ^ _284635) ^ [_647273] : [element(_647273, powerset(the_carrier(_646244))), _647273 = 10397 ^ [_646242, _646244], -(10398 ^ [_646242, _646244] = subset_complement(the_carrier(_646244), _647273))], (10413 ^ _284635) ^ [] : [-(in(10397 ^ [_646242, _646244], complements_of_subsets(the_carrier(_646244), _646242)))], (10415 ^ _284635) ^ [_647676] : [element(_647676, powerset(the_carrier(_646244))), _647676 = 10397 ^ [_646242, _646244], -(10399 ^ [_646242, _646244] = subset_complement(the_carrier(_646244), _647676))]], 10427 ^ _284635 : [(10428 ^ _284635) ^ [_648206] : [in(_648206, 10426 ^ [_646242, _646244]), 10432 ^ _284635 : [(10433 ^ _284635) ^ [] : [-(in(10431 ^ [_646242, _646244, _648206], complements_of_subsets(the_carrier(_646244), _646242)))], (10435 ^ _284635) ^ [] : [-(in(10431 ^ [_646242, _646244, _648206], complements_of_subsets(the_carrier(_646244), _646242)))], (10437 ^ _284635) ^ [_648668] : [element(_648668, powerset(the_carrier(_646244))), _648668 = 10431 ^ [_646242, _646244, _648206], -(_648206 = subset_complement(the_carrier(_646244), _648668))]]], (10447 ^ _284635) ^ [_648990] : [-(in(_648990, 10426 ^ [_646242, _646244])), 10448 ^ _284635 : [(10449 ^ _284635) ^ [_649137] : [in(_649137, complements_of_subsets(the_carrier(_646244), _646242)), in(_649137, complements_of_subsets(the_carrier(_646244), _646242)), 10457 ^ _284635 : [(10458 ^ _284635) ^ [] : [-(element(10456 ^ [_646242, _646244, _648990, _649137], powerset(the_carrier(_646244))))], (10460 ^ _284635) ^ [] : [-(10456 ^ [_646242, _646244, _648990, _649137] = _649137)], (10462 ^ _284635) ^ [] : [_648990 = subset_complement(the_carrier(_646244), 10456 ^ [_646242, _646244, _648990, _649137])]]]]]]], (10466 ^ _284635) ^ [_649842, _649844] : [one_sorted_str(_649844), element(_649842, powerset(powerset(the_carrier(_649844)))), 10473 ^ _284635 : [(10474 ^ _284635) ^ [_650326] : [10478 ^ _284635 : [(10515 ^ _284635) ^ [] : [10476 ^ [_649842, _649844, _650326] = 10477 ^ [_649842, _649844, _650326]], (10479 ^ _284635) ^ [] : [-(10475 ^ [_649842, _649844, _650326] = 10476 ^ [_649842, _649844, _650326])], (10483 ^ _284635) ^ [] : [-(ordered_pair(10480 ^ [_649842, _649844, _650326], 10481 ^ [_649842, _649844, _650326]) = 10476 ^ [_649842, _649844, _650326])], (10485 ^ _284635) ^ [] : [-(in(10480 ^ [_649842, _649844, _650326], complements_of_subsets(the_carrier(_649844), _649842)))], (10487 ^ _284635) ^ [_651840] : [element(_651840, powerset(the_carrier(_649844))), _651840 = 10480 ^ [_649842, _649844, _650326], -(10481 ^ [_649842, _649844, _650326] = subset_complement(the_carrier(_649844), _651840))], (10497 ^ _284635) ^ [] : [-(10475 ^ [_649842, _649844, _650326] = 10477 ^ [_649842, _649844, _650326])], (10501 ^ _284635) ^ [] : [-(ordered_pair(10498 ^ [_649842, _649844, _650326], 10499 ^ [_649842, _649844, _650326]) = 10477 ^ [_649842, _649844, _650326])], (10503 ^ _284635) ^ [] : [-(in(10498 ^ [_649842, _649844, _650326], complements_of_subsets(the_carrier(_649844), _649842)))], (10505 ^ _284635) ^ [_652695] : [element(_652695, powerset(the_carrier(_649844))), _652695 = 10498 ^ [_649842, _649844, _650326], -(10499 ^ [_649842, _649844, _650326] = subset_complement(the_carrier(_649844), _652695))]], 10517 ^ _284635 : [(10518 ^ _284635) ^ [_653291] : [in(_653291, 10516 ^ [_649842, _649844, _650326]), 10522 ^ _284635 : [(10523 ^ _284635) ^ [] : [-(in(10521 ^ [_649842, _649844, _650326, _653291], cartesian_product2(complements_of_subsets(the_carrier(_649844), _649842), _650326)))], (10525 ^ _284635) ^ [] : [-(10521 ^ [_649842, _649844, _650326, _653291] = _653291)], (10529 ^ _284635) ^ [] : [-(ordered_pair(10526 ^ [_649842, _649844, _650326, _653291], 10527 ^ [_649842, _649844, _650326, _653291]) = _653291)], (10531 ^ _284635) ^ [] : [-(in(10526 ^ [_649842, _649844, _650326, _653291], complements_of_subsets(the_carrier(_649844), _649842)))], (10533 ^ _284635) ^ [_654246] : [element(_654246, powerset(the_carrier(_649844))), _654246 = 10526 ^ [_649842, _649844, _650326, _653291], -(10527 ^ [_649842, _649844, _650326, _653291] = subset_complement(the_carrier(_649844), _654246))]]], (10543 ^ _284635) ^ [_654610] : [-(in(_654610, 10516 ^ [_649842, _649844, _650326])), 10544 ^ _284635 : [(10545 ^ _284635) ^ [_654791] : [in(_654791, cartesian_product2(complements_of_subsets(the_carrier(_649844), _649842), _650326)), _654791 = _654610, 10552 ^ _284635 : [(10553 ^ _284635) ^ [_655120, _655122] : [ordered_pair(_655122, _655120) = _654610, in(_655122, complements_of_subsets(the_carrier(_649844), _649842)), 10561 ^ _284635 : [(10562 ^ _284635) ^ [] : [-(element(10560 ^ [_649842, _649844, _650326, _654610, _654791, _655120, _655122], powerset(the_carrier(_649844))))], (10564 ^ _284635) ^ [] : [-(10560 ^ [_649842, _649844, _650326, _654610, _654791, _655120, _655122] = _655122)], (10566 ^ _284635) ^ [] : [_655120 = subset_complement(the_carrier(_649844), 10560 ^ [_649842, _649844, _650326, _654610, _654791, _655120, _655122])]]]]]]]]]]], (10570 ^ _284635) ^ [_655911, _655913] : [one_sorted_str(_655913), element(_655911, powerset(powerset(the_carrier(_655913)))), 10582 ^ _284635 : [(10607 ^ _284635) ^ [] : [10580 ^ [_655911, _655913] = 10581 ^ [_655911, _655913]], (10583 ^ _284635) ^ [] : [-(in(10579 ^ [_655911, _655913], _655911))], (10585 ^ _284635) ^ [_656887] : [element(_656887, powerset(the_carrier(_655913))), _656887 = 10579 ^ [_655911, _655913], -(10580 ^ [_655911, _655913] = subset_complement(the_carrier(_655913), _656887))], (10595 ^ _284635) ^ [] : [-(in(10579 ^ [_655911, _655913], _655911))], (10597 ^ _284635) ^ [_657285] : [element(_657285, powerset(the_carrier(_655913))), _657285 = 10579 ^ [_655911, _655913], -(10581 ^ [_655911, _655913] = subset_complement(the_carrier(_655913), _657285))]], 10609 ^ _284635 : [(10610 ^ _284635) ^ [_657805] : [in(_657805, 10608 ^ [_655911, _655913]), 10614 ^ _284635 : [(10615 ^ _284635) ^ [] : [-(in(10613 ^ [_655911, _655913, _657805], _655911))], (10617 ^ _284635) ^ [] : [-(in(10613 ^ [_655911, _655913, _657805], _655911))], (10619 ^ _284635) ^ [_658237] : [element(_658237, powerset(the_carrier(_655913))), _658237 = 10613 ^ [_655911, _655913, _657805], -(_657805 = subset_complement(the_carrier(_655913), _658237))]]], (10629 ^ _284635) ^ [_658559] : [-(in(_658559, 10608 ^ [_655911, _655913])), 10630 ^ _284635 : [(10631 ^ _284635) ^ [_658696] : [in(_658696, _655911), in(_658696, _655911), 10639 ^ _284635 : [(10640 ^ _284635) ^ [] : [-(element(10638 ^ [_655911, _655913, _658559, _658696], powerset(the_carrier(_655913))))], (10642 ^ _284635) ^ [] : [-(10638 ^ [_655911, _655913, _658559, _658696] = _658696)], (10644 ^ _284635) ^ [] : [_658559 = subset_complement(the_carrier(_655913), 10638 ^ [_655911, _655913, _658559, _658696])]]]]]]], (10648 ^ _284635) ^ [_659381, _659383] : [one_sorted_str(_659383), element(_659381, powerset(powerset(the_carrier(_659383)))), 10655 ^ _284635 : [(10656 ^ _284635) ^ [_659845] : [10660 ^ _284635 : [(10697 ^ _284635) ^ [] : [10658 ^ [_659381, _659383, _659845] = 10659 ^ [_659381, _659383, _659845]], (10661 ^ _284635) ^ [] : [-(10657 ^ [_659381, _659383, _659845] = 10658 ^ [_659381, _659383, _659845])], (10665 ^ _284635) ^ [] : [-(ordered_pair(10662 ^ [_659381, _659383, _659845], 10663 ^ [_659381, _659383, _659845]) = 10658 ^ [_659381, _659383, _659845])], (10667 ^ _284635) ^ [] : [-(in(10662 ^ [_659381, _659383, _659845], _659381))], (10669 ^ _284635) ^ [_661294] : [element(_661294, powerset(the_carrier(_659383))), _661294 = 10662 ^ [_659381, _659383, _659845], -(10663 ^ [_659381, _659383, _659845] = subset_complement(the_carrier(_659383), _661294))], (10679 ^ _284635) ^ [] : [-(10657 ^ [_659381, _659383, _659845] = 10659 ^ [_659381, _659383, _659845])], (10683 ^ _284635) ^ [] : [-(ordered_pair(10680 ^ [_659381, _659383, _659845], 10681 ^ [_659381, _659383, _659845]) = 10659 ^ [_659381, _659383, _659845])], (10685 ^ _284635) ^ [] : [-(in(10680 ^ [_659381, _659383, _659845], _659381))], (10687 ^ _284635) ^ [_662134] : [element(_662134, powerset(the_carrier(_659383))), _662134 = 10680 ^ [_659381, _659383, _659845], -(10681 ^ [_659381, _659383, _659845] = subset_complement(the_carrier(_659383), _662134))]], 10699 ^ _284635 : [(10700 ^ _284635) ^ [_662720] : [in(_662720, 10698 ^ [_659381, _659383, _659845]), 10704 ^ _284635 : [(10705 ^ _284635) ^ [] : [-(in(10703 ^ [_659381, _659383, _659845, _662720], cartesian_product2(_659381, _659845)))], (10707 ^ _284635) ^ [] : [-(10703 ^ [_659381, _659383, _659845, _662720] = _662720)], (10711 ^ _284635) ^ [] : [-(ordered_pair(10708 ^ [_659381, _659383, _659845, _662720], 10709 ^ [_659381, _659383, _659845, _662720]) = _662720)], (10713 ^ _284635) ^ [] : [-(in(10708 ^ [_659381, _659383, _659845, _662720], _659381))], (10715 ^ _284635) ^ [_663635] : [element(_663635, powerset(the_carrier(_659383))), _663635 = 10708 ^ [_659381, _659383, _659845, _662720], -(10709 ^ [_659381, _659383, _659845, _662720] = subset_complement(the_carrier(_659383), _663635))]]], (10725 ^ _284635) ^ [_663999] : [-(in(_663999, 10698 ^ [_659381, _659383, _659845])), 10726 ^ _284635 : [(10727 ^ _284635) ^ [_664170] : [in(_664170, cartesian_product2(_659381, _659845)), _664170 = _663999, 10734 ^ _284635 : [(10735 ^ _284635) ^ [_664484, _664486] : [ordered_pair(_664486, _664484) = _663999, in(_664486, _659381), 10743 ^ _284635 : [(10744 ^ _284635) ^ [] : [-(element(10742 ^ [_659381, _659383, _659845, _663999, _664170, _664484, _664486], powerset(the_carrier(_659383))))], (10746 ^ _284635) ^ [] : [-(10742 ^ [_659381, _659383, _659845, _663999, _664170, _664484, _664486] = _664486)], (10748 ^ _284635) ^ [] : [_664484 = subset_complement(the_carrier(_659383), 10742 ^ [_659381, _659383, _659845, _663999, _664170, _664484, _664486])]]]]]]]]]]], (10752 ^ _284635) ^ [_665279, _665281, _665283] : [relation(_665281), relation(_665279), function(_665279), 10768 ^ _284635 : [(10769 ^ _284635) ^ [] : [-(10765 ^ [_665279, _665281, _665283] = 10766 ^ [_665279, _665281, _665283])], (10773 ^ _284635) ^ [] : [-(10766 ^ [_665279, _665281, _665283] = ordered_pair(10770 ^ [_665279, _665281, _665283], 10771 ^ [_665279, _665281, _665283]))], (10775 ^ _284635) ^ [] : [-(in(ordered_pair(apply(_665279, 10770 ^ [_665279, _665281, _665283]), apply(_665279, 10771 ^ [_665279, _665281, _665283])), _665281))], (10777 ^ _284635) ^ [] : [-(10765 ^ [_665279, _665281, _665283] = 10767 ^ [_665279, _665281, _665283])], (10781 ^ _284635) ^ [] : [-(10767 ^ [_665279, _665281, _665283] = ordered_pair(10778 ^ [_665279, _665281, _665283], 10779 ^ [_665279, _665281, _665283]))], (10783 ^ _284635) ^ [] : [-(in(ordered_pair(apply(_665279, 10778 ^ [_665279, _665281, _665283]), apply(_665279, 10779 ^ [_665279, _665281, _665283])), _665281))], (10785 ^ _284635) ^ [] : [10766 ^ [_665279, _665281, _665283] = 10767 ^ [_665279, _665281, _665283]]], 10787 ^ _284635 : [(10788 ^ _284635) ^ [_667389] : [in(_667389, 10786 ^ [_665279, _665281, _665283]), 10792 ^ _284635 : [(10793 ^ _284635) ^ [] : [-(in(10791 ^ [_665279, _665281, _665283, _667389], cartesian_product2(_665283, _665283)))], (10795 ^ _284635) ^ [] : [-(10791 ^ [_665279, _665281, _665283, _667389] = _667389)], (10799 ^ _284635) ^ [] : [-(_667389 = ordered_pair(10796 ^ [_665279, _665281, _665283, _667389], 10797 ^ [_665279, _665281, _665283, _667389]))], (10801 ^ _284635) ^ [] : [-(in(ordered_pair(apply(_665279, 10796 ^ [_665279, _665281, _665283, _667389]), apply(_665279, 10797 ^ [_665279, _665281, _665283, _667389])), _665281))]]], (10803 ^ _284635) ^ [_668198] : [-(in(_668198, 10786 ^ [_665279, _665281, _665283])), 10804 ^ _284635 : [(10805 ^ _284635) ^ [_668346] : [in(_668346, cartesian_product2(_665283, _665283)), _668346 = _668198, 10812 ^ _284635 : [(10813 ^ _284635) ^ [_668637, _668639] : [_668198 = ordered_pair(_668639, _668637), in(ordered_pair(apply(_665279, _668639), apply(_665279, _668637)), _665281)]]]]]]], (10821 ^ _284635) ^ [_668985] : [10825 ^ _284635 : [(10826 ^ _284635) ^ [] : [-(10822 ^ [_668985] = 10823 ^ [_668985])], (10828 ^ _284635) ^ [] : [-(ordinal(10823 ^ [_668985]))], (10830 ^ _284635) ^ [] : [-(10822 ^ [_668985] = 10824 ^ [_668985])], (10832 ^ _284635) ^ [] : [-(ordinal(10824 ^ [_668985]))], (10834 ^ _284635) ^ [] : [10823 ^ [_668985] = 10824 ^ [_668985]]], 10836 ^ _284635 : [(10837 ^ _284635) ^ [_669820] : [in(_669820, 10835 ^ [_668985]), 10841 ^ _284635 : [(10842 ^ _284635) ^ [] : [-(in(10840 ^ [_668985, _669820], _668985))], (10844 ^ _284635) ^ [] : [-(10840 ^ [_668985, _669820] = _669820)], (10846 ^ _284635) ^ [] : [-(ordinal(_669820))]]], (10848 ^ _284635) ^ [_670216] : [-(in(_670216, 10835 ^ [_668985])), 10849 ^ _284635 : [(10850 ^ _284635) ^ [_670320] : [in(_670320, _668985), _670320 = _670216, ordinal(_670216)]]]]], (10862 ^ _284635) ^ [_670708, _670710, _670712] : [element(_670710, powerset(powerset(_670712))), relation(_670708), function(_670708), 10878 ^ _284635 : [(10879 ^ _284635) ^ [] : [-(10875 ^ [_670708, _670710, _670712] = 10876 ^ [_670708, _670710, _670712])], (10881 ^ _284635) ^ [] : [-(in(relation_image(_670708, 10876 ^ [_670708, _670710, _670712]), _670710))], (10883 ^ _284635) ^ [] : [-(10875 ^ [_670708, _670710, _670712] = 10877 ^ [_670708, _670710, _670712])], (10885 ^ _284635) ^ [] : [-(in(relation_image(_670708, 10877 ^ [_670708, _670710, _670712]), _670710))], (10887 ^ _284635) ^ [] : [10876 ^ [_670708, _670710, _670712] = 10877 ^ [_670708, _670710, _670712]]], 10889 ^ _284635 : [(10890 ^ _284635) ^ [_671994] : [in(_671994, 10888 ^ [_670708, _670710, _670712]), 10894 ^ _284635 : [(10895 ^ _284635) ^ [] : [-(in(10893 ^ [_670708, _670710, _670712, _671994], powerset(relation_dom(_670708))))], (10897 ^ _284635) ^ [] : [-(10893 ^ [_670708, _670710, _670712, _671994] = _671994)], (10899 ^ _284635) ^ [] : [-(in(relation_image(_670708, _671994), _670710))]]], (10901 ^ _284635) ^ [_672462] : [-(in(_672462, 10888 ^ [_670708, _670710, _670712])), 10902 ^ _284635 : [(10903 ^ _284635) ^ [_672586] : [in(_672586, powerset(relation_dom(_670708))), _672586 = _672462, in(relation_image(_670708, _672462), _670710)]]]]], (10915 ^ _284635) ^ [_673016, _673018] : [ordinal(_673016), 10923 ^ _284635 : [(10924 ^ _284635) ^ [] : [-(10920 ^ [_673016, _673018] = 10921 ^ [_673016, _673018])], (10927 ^ _284635) ^ [] : [-(ordinal(10925 ^ [_673016, _673018]))], (10929 ^ _284635) ^ [] : [-(10921 ^ [_673016, _673018] = 10925 ^ [_673016, _673018])], (10931 ^ _284635) ^ [] : [-(in(10925 ^ [_673016, _673018], _673018))], (10933 ^ _284635) ^ [] : [-(10920 ^ [_673016, _673018] = 10922 ^ [_673016, _673018])], (10936 ^ _284635) ^ [] : [-(ordinal(10934 ^ [_673016, _673018]))], (10938 ^ _284635) ^ [] : [-(10922 ^ [_673016, _673018] = 10934 ^ [_673016, _673018])], (10940 ^ _284635) ^ [] : [-(in(10934 ^ [_673016, _673018], _673018))], (10942 ^ _284635) ^ [] : [10921 ^ [_673016, _673018] = 10922 ^ [_673016, _673018]]], 10944 ^ _284635 : [(10945 ^ _284635) ^ [_674618] : [in(_674618, 10943 ^ [_673016, _673018]), 10949 ^ _284635 : [(10950 ^ _284635) ^ [] : [-(in(10948 ^ [_673016, _673018, _674618], succ(_673016)))], (10952 ^ _284635) ^ [] : [-(10948 ^ [_673016, _673018, _674618] = _674618)], (10955 ^ _284635) ^ [] : [-(ordinal(10953 ^ [_673016, _673018, _674618]))], (10957 ^ _284635) ^ [] : [-(_674618 = 10953 ^ [_673016, _673018, _674618])], (10959 ^ _284635) ^ [] : [-(in(10953 ^ [_673016, _673018, _674618], _673018))]]], (10961 ^ _284635) ^ [_675305] : [-(in(_675305, 10943 ^ [_673016, _673018])), 10962 ^ _284635 : [(10963 ^ _284635) ^ [_675434] : [in(_675434, succ(_673016)), _675434 = _675305, 10970 ^ _284635 : [(10971 ^ _284635) ^ [_675687] : [ordinal(_675687), _675305 = _675687, in(_675687, _673018)]]]]]]], (10983 ^ _284635) ^ [_676102, _676104] : [-(empty(_676104)), relation(_676102), 10991 ^ _284635 : [(10992 ^ _284635) ^ [_676568, _676570] : [in(_676568, 10990 ^ [_676102, _676104, _676570]), 10995 ^ _284635 : [(10996 ^ _284635) ^ [] : [-(in(_676568, cartesian_product2(_676104, _676570)))], (11000 ^ _284635) ^ [] : [-(ordered_pair(10997 ^ [_676102, _676104, _676568, _676570], 10998 ^ [_676102, _676104, _676568, _676570]) = _676568)], (11002 ^ _284635) ^ [] : [-(in(10997 ^ [_676102, _676104, _676568, _676570], _676104))], (11005 ^ _284635) ^ [] : [-(10997 ^ [_676102, _676104, _676568, _676570] = 11003 ^ [_676102, _676104, _676568, _676570])], (11007 ^ _284635) ^ [] : [-(in(10998 ^ [_676102, _676104, _676568, _676570], 11003 ^ [_676102, _676104, _676568, _676570]))], (11009 ^ _284635) ^ [_677570] : [in(_677570, 11003 ^ [_676102, _676104, _676568, _676570]), -(in(ordered_pair(10998 ^ [_676102, _676104, _676568, _676570], _677570), _676102))]]], (11015 ^ _284635) ^ [_677823, _677825] : [-(in(_677823, 10990 ^ [_676102, _676104, _677825])), in(_677823, cartesian_product2(_676104, _677825)), 11020 ^ _284635 : [(11021 ^ _284635) ^ [_678090, _678092] : [ordered_pair(_678092, _678090) = _677823, in(_678092, _676104), 11028 ^ _284635 : [(11029 ^ _284635) ^ [_678378] : [_678092 = _678378, in(_678090, _678378), 11037 ^ _284635 : [(11038 ^ _284635) ^ [] : [-(in(11036 ^ [_676102, _676104, _677823, _677825, _678090, _678092, _678378], _678378))], (11040 ^ _284635) ^ [] : [in(ordered_pair(_678090, 11036 ^ [_676102, _676104, _677823, _677825, _678090, _678092, _678378]), _676102)]]]]]]]]], (11045 ^ _284635) ^ [_679159, _679161, _679163] : [in(_679159, 11043 ^ [_679161, _679163]), 11048 ^ _284635 : [(11049 ^ _284635) ^ [] : [-(in(_679159, cartesian_product2(_679163, _679161)))], (11053 ^ _284635) ^ [] : [-(ordered_pair(11050 ^ [_679159, _679161, _679163], 11051 ^ [_679159, _679161, _679163]) = _679159)], (11055 ^ _284635) ^ [] : [-(in(11050 ^ [_679159, _679161, _679163], _679163))], (11057 ^ _284635) ^ [] : [-(11051 ^ [_679159, _679161, _679163] = singleton(11050 ^ [_679159, _679161, _679163]))]]], (11059 ^ _284635) ^ [_679805, _679807, _679809] : [-(in(_679805, 11043 ^ [_679807, _679809])), in(_679805, cartesian_product2(_679809, _679807)), 11064 ^ _284635 : [(11065 ^ _284635) ^ [_680031, _680033] : [ordered_pair(_680033, _680031) = _679805, in(_680033, _679809), _680031 = singleton(_680033)]]], (11077 ^ _284635) ^ [_680427] : [ordinal(_680427), 11081 ^ _284635 : [(11118 ^ _284635) ^ [_682224] : [-(in(_682224, 11080 ^ [_680427])), in(_682224, succ(_680427)), 11123 ^ _284635 : [(11124 ^ _284635) ^ [_682478] : [ordinal(_682478), _682224 = _682478, 11131 ^ _284635 : [(11132 ^ _284635) ^ [] : [-(in(_682478, omega))], (11135 ^ _284635) ^ [] : [-(element(11133 ^ [_680427, _682224, _682478], powerset(powerset(_682478))))], (11137 ^ _284635) ^ [] : [11133 ^ [_680427, _682224, _682478] = empty_set], (11139 ^ _284635) ^ [_683084] : [in(_683084, 11133 ^ [_680427, _682224, _682478]), 11143 ^ _284635 : [(11144 ^ _284635) ^ [] : [-(in(11142 ^ [_680427, _682224, _682478, _683084], 11133 ^ [_680427, _682224, _682478]))], (11146 ^ _284635) ^ [] : [-(subset(_683084, 11142 ^ [_680427, _682224, _682478, _683084]))], (11148 ^ _284635) ^ [] : [11142 ^ [_680427, _682224, _682478, _683084] = _683084]]]]]]], (11082 ^ _284635) ^ [_680814] : [in(_680814, 11080 ^ [_680427]), 11085 ^ _284635 : [(11086 ^ _284635) ^ [] : [-(in(_680814, succ(_680427)))], (11089 ^ _284635) ^ [] : [-(ordinal(11087 ^ [_680427, _680814]))], (11091 ^ _284635) ^ [] : [-(_680814 = 11087 ^ [_680427, _680814])], (11093 ^ _284635) ^ [] : [in(11087 ^ [_680427, _680814], omega), 11096 ^ _284635 : [(11097 ^ _284635) ^ [_681453] : [element(_681453, powerset(powerset(11087 ^ [_680427, _680814]))), -(_681453 = empty_set), 11105 ^ _284635 : [(11106 ^ _284635) ^ [] : [-(in(11104 ^ [_680427, _680814, _681453], _681453))], (11108 ^ _284635) ^ [_681884] : [-(_681884 = 11104 ^ [_680427, _680814, _681453]), in(_681884, _681453), subset(11104 ^ [_680427, _680814, _681453], _681884)]]]]]]]]], (11152 ^ _284635) ^ [_683700, _683702] : [topological_space(_683702), top_str(_683702), element(_683700, powerset(the_carrier(_683702))), 11164 ^ _284635 : [(11165 ^ _284635) ^ [_684183] : [in(_684183, 11163 ^ [_683700, _683702]), 11168 ^ _284635 : [(11169 ^ _284635) ^ [] : [-(in(_684183, powerset(the_carrier(_683702))))], (11172 ^ _284635) ^ [] : [-(element(11170 ^ [_683700, _683702, _684183], powerset(the_carrier(_683702))))], (11174 ^ _284635) ^ [] : [-(11170 ^ [_683700, _683702, _684183] = _684183)], (11176 ^ _284635) ^ [] : [-(closed_subset(11170 ^ [_683700, _683702, _684183], _683702))], (11178 ^ _284635) ^ [] : [-(subset(_683700, _684183))]]], (11180 ^ _284635) ^ [_684793] : [-(in(_684793, 11163 ^ [_683700, _683702])), in(_684793, powerset(the_carrier(_683702))), 11185 ^ _284635 : [(11186 ^ _284635) ^ [_685011] : [element(_685011, powerset(the_carrier(_683702))), _685011 = _684793, closed_subset(_685011, _683702), subset(_683700, _684793)]]]]], (11202 ^ _284635) ^ [_685515, _685517] : [topological_space(_685517), top_str(_685517), element(_685515, powerset(powerset(the_carrier(_685517)))), 11214 ^ _284635 : [(11215 ^ _284635) ^ [_685958] : [in(_685958, 11213 ^ [_685515, _685517]), 11218 ^ _284635 : [(11219 ^ _284635) ^ [] : [-(in(_685958, powerset(the_carrier(_685517))))], (11221 ^ _284635) ^ [] : [-(in(set_difference(cast_as_carrier_subset(_685517), _685958), _685515))]]], (11223 ^ _284635) ^ [_686239] : [-(in(_686239, 11213 ^ [_685515, _685517])), in(_686239, powerset(the_carrier(_685517))), in(set_difference(cast_as_carrier_subset(_685517), _686239), _685515)]]], (11233 ^ _284635) ^ [_686595, _686597] : [ordinal(_686597), element(_686595, powerset(powerset(succ(_686597)))), 11241 ^ _284635 : [(11242 ^ _284635) ^ [_686969] : [in(_686969, 11240 ^ [_686595, _686597]), 11245 ^ _284635 : [(11246 ^ _284635) ^ [] : [-(in(_686969, powerset(_686597)))], (11249 ^ _284635) ^ [] : [-(in(11247 ^ [_686595, _686597, _686969], _686595))], (11251 ^ _284635) ^ [] : [-(_686969 = set_difference(11247 ^ [_686595, _686597, _686969], singleton(_686597)))]]], (11253 ^ _284635) ^ [_687405] : [-(in(_687405, 11240 ^ [_686595, _686597])), in(_687405, powerset(_686597)), 11258 ^ _284635 : [(11259 ^ _284635) ^ [_687608] : [in(_687608, _686595), _687405 = set_difference(_687608, singleton(_686597))]]]]], (11267 ^ _284635) ^ [_687918, _687920] : [one_sorted_str(_687920), element(_687918, powerset(powerset(the_carrier(_687920)))), 11275 ^ _284635 : [(11276 ^ _284635) ^ [_688405, _688407] : [in(_688405, 11274 ^ [_687918, _687920, _688407]), 11279 ^ _284635 : [(11280 ^ _284635) ^ [] : [-(in(_688405, cartesian_product2(complements_of_subsets(the_carrier(_687920), _687918), _688407)))], (11284 ^ _284635) ^ [] : [-(ordered_pair(11281 ^ [_687918, _687920, _688405, _688407], 11282 ^ [_687918, _687920, _688405, _688407]) = _688405)], (11286 ^ _284635) ^ [] : [-(in(11281 ^ [_687918, _687920, _688405, _688407], complements_of_subsets(the_carrier(_687920), _687918)))], (11288 ^ _284635) ^ [_689126] : [element(_689126, powerset(the_carrier(_687920))), _689126 = 11281 ^ [_687918, _687920, _688405, _688407], -(11282 ^ [_687918, _687920, _688405, _688407] = subset_complement(the_carrier(_687920), _689126))]]], (11298 ^ _284635) ^ [_689488, _689490] : [-(in(_689488, 11274 ^ [_687918, _687920, _689490])), in(_689488, cartesian_product2(complements_of_subsets(the_carrier(_687920), _687918), _689490)), 11303 ^ _284635 : [(11304 ^ _284635) ^ [_689765, _689767] : [ordered_pair(_689767, _689765) = _689488, in(_689767, complements_of_subsets(the_carrier(_687920), _687918)), 11312 ^ _284635 : [(11313 ^ _284635) ^ [] : [-(element(11311 ^ [_687918, _687920, _689488, _689490, _689765, _689767], powerset(the_carrier(_687920))))], (11315 ^ _284635) ^ [] : [-(11311 ^ [_687918, _687920, _689488, _689490, _689765, _689767] = _689767)], (11317 ^ _284635) ^ [] : [_689765 = subset_complement(the_carrier(_687920), 11311 ^ [_687918, _687920, _689488, _689490, _689765, _689767])]]]]]]], (11321 ^ _284635) ^ [_690519, _690521] : [one_sorted_str(_690521), element(_690519, powerset(powerset(the_carrier(_690521)))), 11329 ^ _284635 : [(11330 ^ _284635) ^ [_690986, _690988] : [in(_690986, 11328 ^ [_690519, _690521, _690988]), 11333 ^ _284635 : [(11334 ^ _284635) ^ [] : [-(in(_690986, cartesian_product2(_690519, _690988)))], (11338 ^ _284635) ^ [] : [-(ordered_pair(11335 ^ [_690519, _690521, _690986, _690988], 11336 ^ [_690519, _690521, _690986, _690988]) = _690986)], (11340 ^ _284635) ^ [] : [-(in(11335 ^ [_690519, _690521, _690986, _690988], _690519))], (11342 ^ _284635) ^ [_691677] : [element(_691677, powerset(the_carrier(_690521))), _691677 = 11335 ^ [_690519, _690521, _690986, _690988], -(11336 ^ [_690519, _690521, _690986, _690988] = subset_complement(the_carrier(_690521), _691677))]]], (11352 ^ _284635) ^ [_692039, _692041] : [-(in(_692039, 11328 ^ [_690519, _690521, _692041])), in(_692039, cartesian_product2(_690519, _692041)), 11357 ^ _284635 : [(11358 ^ _284635) ^ [_692301, _692303] : [ordered_pair(_692303, _692301) = _692039, in(_692303, _690519), 11366 ^ _284635 : [(11367 ^ _284635) ^ [] : [-(element(11365 ^ [_690519, _690521, _692039, _692041, _692301, _692303], powerset(the_carrier(_690521))))], (11369 ^ _284635) ^ [] : [-(11365 ^ [_690519, _690521, _692039, _692041, _692301, _692303] = _692303)], (11371 ^ _284635) ^ [] : [_692301 = subset_complement(the_carrier(_690521), 11365 ^ [_690519, _690521, _692039, _692041, _692301, _692303])]]]]]]], (11375 ^ _284635) ^ [_693059, _693061, _693063] : [relation(_693061), relation(_693059), function(_693059), 11387 ^ _284635 : [(11388 ^ _284635) ^ [_693548] : [in(_693548, 11386 ^ [_693059, _693061, _693063]), 11391 ^ _284635 : [(11392 ^ _284635) ^ [] : [-(in(_693548, cartesian_product2(_693063, _693063)))], (11396 ^ _284635) ^ [] : [-(_693548 = ordered_pair(11393 ^ [_693059, _693061, _693063, _693548], 11394 ^ [_693059, _693061, _693063, _693548]))], (11398 ^ _284635) ^ [] : [-(in(ordered_pair(apply(_693059, 11393 ^ [_693059, _693061, _693063, _693548]), apply(_693059, 11394 ^ [_693059, _693061, _693063, _693548])), _693061))]]], (11400 ^ _284635) ^ [_694156] : [-(in(_694156, 11386 ^ [_693059, _693061, _693063])), in(_694156, cartesian_product2(_693063, _693063)), 11405 ^ _284635 : [(11406 ^ _284635) ^ [_694397, _694399] : [_694156 = ordered_pair(_694399, _694397), in(ordered_pair(apply(_693059, _694399), apply(_693059, _694397)), _693061)]]]]], (11415 ^ _284635) ^ [_694825, _694827] : [in(_694825, 11413 ^ [_694827]), 11418 ^ _284635 : [(11419 ^ _284635) ^ [] : [-(in(_694825, _694827))], (11421 ^ _284635) ^ [] : [-(ordinal(_694825))]]], (11423 ^ _284635) ^ [_695070, _695072] : [-(in(_695070, 11413 ^ [_695072])), in(_695070, _695072), ordinal(_695070)], (11433 ^ _284635) ^ [_695393, _695395, _695397] : [element(_695395, powerset(powerset(_695397))), relation(_695393), function(_695393), 11445 ^ _284635 : [(11446 ^ _284635) ^ [_695844] : [in(_695844, 11444 ^ [_695393, _695395, _695397]), 11449 ^ _284635 : [(11450 ^ _284635) ^ [] : [-(in(_695844, powerset(relation_dom(_695393))))], (11452 ^ _284635) ^ [] : [-(in(relation_image(_695393, _695844), _695395))]]], (11454 ^ _284635) ^ [_696135] : [-(in(_696135, 11444 ^ [_695393, _695395, _695397])), in(_696135, powerset(relation_dom(_695393))), in(relation_image(_695393, _696135), _695395)]]], (11464 ^ _284635) ^ [_696503, _696505] : [ordinal(_696503), 11468 ^ _284635 : [(11469 ^ _284635) ^ [_696776] : [in(_696776, 11467 ^ [_696503, _696505]), 11472 ^ _284635 : [(11473 ^ _284635) ^ [] : [-(in(_696776, succ(_696503)))], (11476 ^ _284635) ^ [] : [-(ordinal(11474 ^ [_696503, _696505, _696776]))], (11478 ^ _284635) ^ [] : [-(_696776 = 11474 ^ [_696503, _696505, _696776])], (11480 ^ _284635) ^ [] : [-(in(11474 ^ [_696503, _696505, _696776], _696505))]]], (11482 ^ _284635) ^ [_697285] : [-(in(_697285, 11467 ^ [_696503, _696505])), in(_697285, succ(_696503)), 11487 ^ _284635 : [(11488 ^ _284635) ^ [_697488] : [ordinal(_697488), _697285 = _697488, in(_697488, _696505)]]]]], (11500 ^ _284635) ^ [_697881, _697883] : [-(empty(_697883)), relation(_697881), 11557 ^ _284635 : [(11558 ^ _284635) ^ [] : [-(relation(11556 ^ [_697881, _697883]))], (11560 ^ _284635) ^ [] : [-(function(11556 ^ [_697881, _697883]))], (11562 ^ _284635) ^ [] : [-(relation_dom(11556 ^ [_697881, _697883]) = _697883)], (11564 ^ _284635) ^ [_700971] : [in(_700971, _697883), 11568 ^ _284635 : [(11569 ^ _284635) ^ [] : [-(_700971 = 11567 ^ [_697881, _697883, _700971])], (11571 ^ _284635) ^ [] : [-(in(apply(11556 ^ [_697881, _697883], _700971), 11567 ^ [_697881, _697883, _700971]))], (11573 ^ _284635) ^ [_701415] : [in(_701415, 11567 ^ [_697881, _697883, _700971]), -(in(ordered_pair(apply(11556 ^ [_697881, _697883], _700971), _701415), _697881))]]]], 11541 ^ _284635 : [(11542 ^ _284635) ^ [] : [-(in(11540 ^ [_697881, _697883], _697883))], (11544 ^ _284635) ^ [_700157, _700159] : [11540 ^ [_697881, _697883] = _700157, in(_700159, _700157), 11552 ^ _284635 : [(11553 ^ _284635) ^ [] : [-(in(11551 ^ [_697881, _697883, _700157, _700159], _700157))], (11555 ^ _284635) ^ [] : [in(ordered_pair(_700159, 11551 ^ [_697881, _697883, _700157, _700159]), _697881)]]]], 11514 ^ _284635 : [(11539 ^ _284635) ^ [] : [11512 ^ [_697881, _697883] = 11513 ^ [_697881, _697883]], (11515 ^ _284635) ^ [] : [-(in(11511 ^ [_697881, _697883], _697883))], (11518 ^ _284635) ^ [] : [-(11511 ^ [_697881, _697883] = 11516 ^ [_697881, _697883])], (11520 ^ _284635) ^ [] : [-(in(11512 ^ [_697881, _697883], 11516 ^ [_697881, _697883]))], (11522 ^ _284635) ^ [_699210] : [in(_699210, 11516 ^ [_697881, _697883]), -(in(ordered_pair(11512 ^ [_697881, _697883], _699210), _697881))], (11529 ^ _284635) ^ [] : [-(11511 ^ [_697881, _697883] = 11527 ^ [_697881, _697883])], (11531 ^ _284635) ^ [] : [-(in(11513 ^ [_697881, _697883], 11527 ^ [_697881, _697883]))], (11533 ^ _284635) ^ [_699686] : [in(_699686, 11527 ^ [_697881, _697883]), -(in(ordered_pair(11513 ^ [_697881, _697883], _699686), _697881))]]], (11579 ^ _284635) ^ [_701699] : [11585 ^ _284635 : [(11586 ^ _284635) ^ [] : [-(in(11582 ^ [_701699], _701699))], (11588 ^ _284635) ^ [] : [-(11583 ^ [_701699] = singleton(11582 ^ [_701699]))], (11590 ^ _284635) ^ [] : [-(11584 ^ [_701699] = singleton(11582 ^ [_701699]))], (11592 ^ _284635) ^ [] : [11583 ^ [_701699] = 11584 ^ [_701699]]], 11594 ^ _284635 : [(11595 ^ _284635) ^ [] : [-(in(11593 ^ [_701699], _701699))], (11597 ^ _284635) ^ [_702553] : [_702553 = singleton(11593 ^ [_701699])]], 11599 ^ _284635 : [(11600 ^ _284635) ^ [] : [-(relation(11598 ^ [_701699]))], (11602 ^ _284635) ^ [] : [-(function(11598 ^ [_701699]))], (11604 ^ _284635) ^ [] : [-(relation_dom(11598 ^ [_701699]) = _701699)], (11606 ^ _284635) ^ [_702925] : [in(_702925, _701699), -(apply(11598 ^ [_701699], _702925) = singleton(_702925))]]], (11612 ^ _284635) ^ [_703170, _703172] : [one_sorted_str(_703172), element(_703170, powerset(powerset(the_carrier(_703172)))), 11661 ^ _284635 : [(11662 ^ _284635) ^ [] : [-(relation(11660 ^ [_703170, _703172]))], (11664 ^ _284635) ^ [] : [-(function(11660 ^ [_703170, _703172]))], (11666 ^ _284635) ^ [] : [-(relation_dom(11660 ^ [_703170, _703172]) = complements_of_subsets(the_carrier(_703172), _703170))], (11668 ^ _284635) ^ [_705786] : [in(_705786, complements_of_subsets(the_carrier(_703172), _703170)), 11671 ^ _284635 : [(11672 ^ _284635) ^ [_705966] : [element(_705966, powerset(the_carrier(_703172))), _705966 = _705786, -(apply(11660 ^ [_703170, _703172], _705786) = subset_complement(the_carrier(_703172), _705966))]]]], 11651 ^ _284635 : [(11652 ^ _284635) ^ [] : [-(in(11650 ^ [_703170, _703172], complements_of_subsets(the_carrier(_703172), _703170)))], (11655 ^ _284635) ^ [_705202] : [-(element(11653 ^ [_703170, _703172, _705202], powerset(the_carrier(_703172))))], (11657 ^ _284635) ^ [_705283] : [-(11653 ^ [_703170, _703172, _705283] = 11650 ^ [_703170, _703172])], (11659 ^ _284635) ^ [_705346] : [_705346 = subset_complement(the_carrier(_703172), 11653 ^ [_703170, _703172, _705346])]], 11626 ^ _284635 : [(11649 ^ _284635) ^ [] : [11624 ^ [_703170, _703172] = 11625 ^ [_703170, _703172]], (11627 ^ _284635) ^ [] : [-(in(11623 ^ [_703170, _703172], complements_of_subsets(the_carrier(_703172), _703170)))], (11629 ^ _284635) ^ [_704238] : [element(_704238, powerset(the_carrier(_703172))), _704238 = 11623 ^ [_703170, _703172], -(11624 ^ [_703170, _703172] = subset_complement(the_carrier(_703172), _704238))], (11639 ^ _284635) ^ [_704563] : [element(_704563, powerset(the_carrier(_703172))), _704563 = 11623 ^ [_703170, _703172], -(11625 ^ [_703170, _703172] = subset_complement(the_carrier(_703172), _704563))]]], (11682 ^ _284635) ^ [_706351, _706353] : [one_sorted_str(_706353), element(_706351, powerset(powerset(the_carrier(_706353)))), 11731 ^ _284635 : [(11732 ^ _284635) ^ [] : [-(relation(11730 ^ [_706351, _706353]))], (11734 ^ _284635) ^ [] : [-(function(11730 ^ [_706351, _706353]))], (11736 ^ _284635) ^ [] : [-(relation_dom(11730 ^ [_706351, _706353]) = _706351)], (11738 ^ _284635) ^ [_708902] : [in(_708902, _706351), 11741 ^ _284635 : [(11742 ^ _284635) ^ [_709072] : [element(_709072, powerset(the_carrier(_706353))), _709072 = _708902, -(apply(11730 ^ [_706351, _706353], _708902) = subset_complement(the_carrier(_706353), _709072))]]]], 11721 ^ _284635 : [(11722 ^ _284635) ^ [] : [-(in(11720 ^ [_706351, _706353], _706351))], (11725 ^ _284635) ^ [_708333] : [-(element(11723 ^ [_706351, _706353, _708333], powerset(the_carrier(_706353))))], (11727 ^ _284635) ^ [_708414] : [-(11723 ^ [_706351, _706353, _708414] = 11720 ^ [_706351, _706353])], (11729 ^ _284635) ^ [_708477] : [_708477 = subset_complement(the_carrier(_706353), 11723 ^ [_706351, _706353, _708477])]], 11696 ^ _284635 : [(11719 ^ _284635) ^ [] : [11694 ^ [_706351, _706353] = 11695 ^ [_706351, _706353]], (11697 ^ _284635) ^ [] : [-(in(11693 ^ [_706351, _706353], _706351))], (11699 ^ _284635) ^ [_707379] : [element(_707379, powerset(the_carrier(_706353))), _707379 = 11693 ^ [_706351, _706353], -(11694 ^ [_706351, _706353] = subset_complement(the_carrier(_706353), _707379))], (11709 ^ _284635) ^ [_707704] : [element(_707704, powerset(the_carrier(_706353))), _707704 = 11693 ^ [_706351, _706353], -(11695 ^ [_706351, _706353] = subset_complement(the_carrier(_706353), _707704))]]], (11752 ^ _284635) ^ [] : [11807 ^ _284635 : [(11808 ^ _284635) ^ [_711445] : [ordinal(_711445), in(_711445, omega), 11815 ^ _284635 : [(11816 ^ _284635) ^ [_711701] : [element(_711701, powerset(powerset(_711445))), -(_711701 = empty_set), 11824 ^ _284635 : [(11825 ^ _284635) ^ [] : [-(in(11823 ^ [_711445, _711701], _711701))], (11827 ^ _284635) ^ [_712100] : [-(_712100 = 11823 ^ [_711445, _711701]), in(_712100, _711701), subset(11823 ^ [_711445, _711701], _712100)]]]]]], 11754 ^ _284635 : [(11755 ^ _284635) ^ [] : [-(ordinal(11753 ^ []))], (11790 ^ _284635) ^ [] : [-(in(11753 ^ [], omega))], (11793 ^ _284635) ^ [] : [-(element(11791 ^ [], powerset(powerset(11753 ^ []))))], (11795 ^ _284635) ^ [] : [11791 ^ [] = empty_set], (11797 ^ _284635) ^ [_711040] : [in(_711040, 11791 ^ []), 11801 ^ _284635 : [(11802 ^ _284635) ^ [] : [-(in(11800 ^ [_711040], 11791 ^ []))], (11804 ^ _284635) ^ [] : [-(subset(_711040, 11800 ^ [_711040]))], (11806 ^ _284635) ^ [] : [11800 ^ [_711040] = _711040]]], (11757 ^ _284635) ^ [_709732] : [ordinal(_709732), in(_709732, 11753 ^ []), in(_709732, omega), 11768 ^ _284635 : [(11769 ^ _284635) ^ [_710069] : [element(_710069, powerset(powerset(_709732))), -(_710069 = empty_set), 11777 ^ _284635 : [(11778 ^ _284635) ^ [] : [-(in(11776 ^ [_709732, _710069], _710069))], (11780 ^ _284635) ^ [_710468] : [-(_710468 = 11776 ^ [_709732, _710069]), in(_710468, _710069), subset(11776 ^ [_709732, _710069], _710468)]]]]]]], (11838 ^ _284635) ^ [_712531] : [-(relation(11836 ^ [_712531]))], (11840 ^ _284635) ^ [_712599] : [-(function(11836 ^ [_712599]))], (11842 ^ _284635) ^ [_712667] : [-(relation_dom(11836 ^ [_712667]) = _712667)], (11844 ^ _284635) ^ [_712747, _712749] : [in(_712747, _712749), -(apply(11836 ^ [_712749], _712747) = singleton(_712747))], (11850 ^ _284635) ^ [_712983, _712985] : [topological_space(_712985), top_str(_712985), element(_712983, powerset(the_carrier(_712985))), 11862 ^ _284635 : [(11863 ^ _284635) ^ [] : [-(element(11861 ^ [_712983, _712985], powerset(powerset(the_carrier(_712985)))))], (11865 ^ _284635) ^ [_713540] : [element(_713540, powerset(the_carrier(_712985))), 11868 ^ _284635 : [(11869 ^ _284635) ^ [] : [in(_713540, 11861 ^ [_712983, _712985]), 11873 ^ _284635 : [(11874 ^ _284635) ^ [] : [-(element(11872 ^ [_712983, _712985, _713540], powerset(the_carrier(_712985))))], (11876 ^ _284635) ^ [] : [-(11872 ^ [_712983, _712985, _713540] = _713540)], (11878 ^ _284635) ^ [] : [-(closed_subset(11872 ^ [_712983, _712985, _713540], _712985))], (11880 ^ _284635) ^ [] : [-(subset(_712983, _713540))]]], (11882 ^ _284635) ^ [] : [-(in(_713540, 11861 ^ [_712983, _712985])), 11883 ^ _284635 : [(11884 ^ _284635) ^ [_714242] : [element(_714242, powerset(the_carrier(_712985))), _714242 = _713540, closed_subset(_714242, _712985), subset(_712983, _713540)]]]]]]], (11900 ^ _284635) ^ [_714749, _714751] : [topological_space(_714751), top_str(_714751), element(_714749, powerset(powerset(the_carrier(_714751)))), 11912 ^ _284635 : [(11913 ^ _284635) ^ [] : [-(element(11911 ^ [_714749, _714751], powerset(powerset(the_carrier(_714751)))))], (11915 ^ _284635) ^ [_715266] : [element(_715266, powerset(the_carrier(_714751))), 11918 ^ _284635 : [(11919 ^ _284635) ^ [] : [in(_715266, 11911 ^ [_714749, _714751]), -(in(set_difference(cast_as_carrier_subset(_714751), _715266), _714749))], (11925 ^ _284635) ^ [] : [in(set_difference(cast_as_carrier_subset(_714751), _715266), _714749), -(in(_715266, 11911 ^ [_714749, _714751]))]]]]], (11931 ^ _284635) ^ [_715801, _715803] : [disjoint(_715803, _715801), -(disjoint(_715801, _715803))], (11937 ^ _284635) ^ [_716011, _716013] : [equipotent(_716013, _716011), -(equipotent(_716011, _716013))], (11943 ^ _284635) ^ [_716278, _716280, _716282, _716284] : [in(ordered_pair(_716284, _716282), cartesian_product2(_716280, _716278)), 11946 ^ _284635 : [(11947 ^ _284635) ^ [] : [-(in(_716284, _716280))], (11949 ^ _284635) ^ [] : [-(in(_716282, _716278))]]], (11951 ^ _284635) ^ [_716543, _716545, _716547, _716549] : [-(in(ordered_pair(_716549, _716547), cartesian_product2(_716545, _716543))), in(_716549, _716545), in(_716547, _716543)], (11961 ^ _284635) ^ [_716847] : [-(in(_716847, succ(_716847)))], (11963 ^ _284635) ^ [_716956, _716958] : [element(_716956, powerset(powerset(_716958))), 11966 ^ _284635 : [(11967 ^ _284635) ^ [] : [-(_716956 = empty_set), complements_of_subsets(_716958, _716956) = empty_set], (11973 ^ _284635) ^ [] : [-(complements_of_subsets(_716958, _716956) = empty_set), _716956 = empty_set]]], (11979 ^ _284635) ^ [_717475, _717477, _717479, _717481] : [unordered_pair(_717481, _717479) = unordered_pair(_717477, _717475), -(_717481 = _717477), -(_717481 = _717475)], (11989 ^ _284635) ^ [_717825, _717827, _717829] : [relation(_717825), 11992 ^ _284635 : [(11993 ^ _284635) ^ [] : [in(_717829, relation_rng(relation_rng_restriction(_717827, _717825))), 11996 ^ _284635 : [(11997 ^ _284635) ^ [] : [-(in(_717829, _717827))], (11999 ^ _284635) ^ [] : [-(in(_717829, relation_rng(_717825)))]]], (12001 ^ _284635) ^ [] : [-(in(_717829, relation_rng(relation_rng_restriction(_717827, _717825)))), in(_717829, _717827), in(_717829, relation_rng(_717825))]]], (12011 ^ _284635) ^ [_718484, _718486] : [relation(_718484), -(subset(relation_rng(relation_rng_restriction(_718486, _718484)), _718486))], (12017 ^ _284635) ^ [_718702, _718704] : [relation(_718702), -(subset(relation_rng_restriction(_718704, _718702), _718702))], (12023 ^ _284635) ^ [_718916, _718918] : [relation(_718916), -(subset(relation_rng(relation_rng_restriction(_718918, _718916)), relation_rng(_718916)))], (12029 ^ _284635) ^ [_719152, _719154, _719156] : [subset(_719156, _719154), 12032 ^ _284635 : [(12033 ^ _284635) ^ [] : [-(subset(cartesian_product2(_719156, _719152), cartesian_product2(_719154, _719152)))], (12035 ^ _284635) ^ [] : [-(subset(cartesian_product2(_719152, _719156), cartesian_product2(_719152, _719154)))]]], (12037 ^ _284635) ^ [_719469, _719471] : [relation(_719469), -(relation_rng(relation_rng_restriction(_719471, _719469)) = set_intersection2(relation_rng(_719469), _719471))], (12043 ^ _284635) ^ [_719725, _719727, _719729, _719731] : [-(subset(cartesian_product2(_719731, _719727), cartesian_product2(_719729, _719725))), subset(_719731, _719729), subset(_719727, _719725)], (12053 ^ _284635) ^ [_720056, _720058] : [element(_720056, powerset(powerset(_720058))), -(_720056 = empty_set), -(meet_of_subsets(_720058, complements_of_subsets(_720058, _720056)) = subset_complement(_720058, union_of_subsets(_720058, _720056)))], (12063 ^ _284635) ^ [_720376] : [one_sorted_str(_720376), -(cast_as_carrier_subset(_720376) = the_carrier(_720376))], (12069 ^ _284635) ^ [_720600, _720602, _720604] : [relation_of2_as_subset(_720600, _720604, _720602), 12072 ^ _284635 : [(12073 ^ _284635) ^ [] : [-(subset(relation_dom(_720600), _720604))], (12075 ^ _284635) ^ [] : [-(subset(relation_rng(_720600), _720602))]]], (12077 ^ _284635) ^ [_720903, _720905] : [element(_720903, powerset(powerset(_720905))), -(_720903 = empty_set), -(union_of_subsets(_720905, complements_of_subsets(_720905, _720903)) = subset_complement(_720905, meet_of_subsets(_720905, _720903)))], (12087 ^ _284635) ^ [_721237, _721239] : [subset(_721239, _721237), -(set_union2(_721239, _721237) = _721237)], (12094 ^ _284635) ^ [_721559] : [-(in(_721559, 12092 ^ [_721559]))], (12096 ^ _284635) ^ [_721671, _721673, _721675] : [-(in(_721671, 12092 ^ [_721675])), in(_721673, 12092 ^ [_721675]), subset(_721671, _721673)], (12106 ^ _284635) ^ [_721986, _721988] : [in(_721986, 12092 ^ [_721988]), -(in(powerset(_721986), 12092 ^ [_721988]))], (12112 ^ _284635) ^ [_722186, _722188] : [subset(_722186, 12092 ^ [_722188]), -(are_equipotent(_722186, 12092 ^ [_722188])), -(in(_722186, 12092 ^ [_722188]))], (12122 ^ _284635) ^ [_722512] : [-(empty_carrier(_722512)), topological_space(_722512), top_str(_722512), 12133 ^ _284635 : [(12152 ^ _284635) ^ [] : [12154 ^ _284635 : [(12155 ^ _284635) ^ [] : [-(element(12153 ^ [_722512], powerset(powerset(the_carrier(_722512)))))], (12157 ^ _284635) ^ [] : [-(centered(12153 ^ [_722512]))], (12159 ^ _284635) ^ [] : [-(closed_subsets(12153 ^ [_722512], _722512))], (12161 ^ _284635) ^ [] : [-(meet_of_subsets(the_carrier(_722512), 12153 ^ [_722512]) = empty_set)]], -(compact_top_space(_722512))], (12134 ^ _284635) ^ [] : [compact_top_space(_722512), 12137 ^ _284635 : [(12138 ^ _284635) ^ [_722944] : [element(_722944, powerset(powerset(the_carrier(_722512)))), centered(_722944), closed_subsets(_722944, _722512), meet_of_subsets(the_carrier(_722512), _722944) = empty_set]]]]], (12165 ^ _284635) ^ [_723794, _723796] : [-(finite(_723796)), subset(_723796, _723794), finite(_723794)], (12175 ^ _284635) ^ [_724075] : [one_sorted_str(_724075), 12178 ^ _284635 : [(12179 ^ _284635) ^ [_724221] : [element(_724221, powerset(powerset(the_carrier(_724075)))), 12182 ^ _284635 : [(12183 ^ _284635) ^ [] : [finite(complements_of_subsets(the_carrier(_724075), _724221)), -(finite(_724221))], (12189 ^ _284635) ^ [] : [finite(_724221), -(finite(complements_of_subsets(the_carrier(_724075), _724221)))]]]]], (12195 ^ _284635) ^ [_724723, _724725, _724727] : [relation(_724723), -(relation_dom_restriction(relation_rng_restriction(_724727, _724723), _724725) = relation_rng_restriction(_724727, relation_dom_restriction(_724723, _724725)))], (12201 ^ _284635) ^ [_724975, _724977, _724979] : [relation(_724975), 12204 ^ _284635 : [(12205 ^ _284635) ^ [] : [in(_724979, relation_image(_724975, _724977)), 12209 ^ _284635 : [(12210 ^ _284635) ^ [] : [-(in(12208 ^ [_724975, _724977, _724979], relation_dom(_724975)))], (12212 ^ _284635) ^ [] : [-(in(ordered_pair(12208 ^ [_724975, _724977, _724979], _724979), _724975))], (12214 ^ _284635) ^ [] : [-(in(12208 ^ [_724975, _724977, _724979], _724977))]]], (12216 ^ _284635) ^ [] : [-(in(_724979, relation_image(_724975, _724977))), 12217 ^ _284635 : [(12218 ^ _284635) ^ [_725576] : [in(_725576, relation_dom(_724975)), in(ordered_pair(_725576, _724979), _724975), in(_725576, _724977)]]]]], (12230 ^ _284635) ^ [_725973, _725975] : [relation(_725973), -(subset(relation_image(_725973, _725975), relation_rng(_725973)))], (12236 ^ _284635) ^ [_726191, _726193] : [-(subset(relation_image(_726191, relation_inverse_image(_726191, _726193)), _726193)), relation(_726191), function(_726191)], (12246 ^ _284635) ^ [_726498, _726500] : [relation(_726498), -(relation_image(_726498, _726500) = relation_image(_726498, set_intersection2(relation_dom(_726498), _726500)))], (12252 ^ _284635) ^ [_726728, _726730] : [relation(_726728), subset(_726730, relation_dom(_726728)), -(subset(_726730, relation_inverse_image(_726728, relation_image(_726728, _726730))))], (12262 ^ _284635) ^ [_727027] : [relation(_727027), -(relation_image(_727027, relation_dom(_727027)) = relation_rng(_727027))], (12268 ^ _284635) ^ [_727243, _727245] : [relation(_727243), function(_727243), subset(_727245, relation_rng(_727243)), -(relation_image(_727243, relation_inverse_image(_727243, _727245)) = _727245)], (12282 ^ _284635) ^ [_727673, _727675, _727677, _727679] : [relation_of2_as_subset(_727673, _727675, _727679), subset(relation_rng(_727673), _727677), -(relation_of2_as_subset(_727673, _727675, _727677))], (12292 ^ _284635) ^ [_728000, _728002] : [finite(_728002), -(finite(set_intersection2(_728002, _728000)))], (12298 ^ _284635) ^ [_728198] : [one_sorted_str(_728198), 12301 ^ _284635 : [(12302 ^ _284635) ^ [_728341] : [element(_728341, powerset(the_carrier(_728198))), -(subset_intersection2(the_carrier(_728198), _728341, cast_as_carrier_subset(_728198)) = _728341)]]], (12308 ^ _284635) ^ [_728568] : [antisymmetric_relstr(_728568), rel_str(_728568), 12315 ^ _284635 : [(12316 ^ _284635) ^ [_728852] : [ex_sup_of_relstr_set(_728568, _728852), 12320 ^ _284635 : [(12321 ^ _284635) ^ [] : [-(element(12319 ^ [_728568, _728852], the_carrier(_728568)))], (12323 ^ _284635) ^ [] : [-(relstr_set_smaller(_728568, _728852, 12319 ^ [_728568, _728852]))], (12325 ^ _284635) ^ [_729251] : [element(_729251, the_carrier(_728568)), relstr_set_smaller(_728568, _728852, _729251), -(related(_728568, 12319 ^ [_728568, _728852], _729251))]]], (12335 ^ _284635) ^ [_729547] : [-(ex_sup_of_relstr_set(_728568, _729547)), 12336 ^ _284635 : [(12337 ^ _284635) ^ [_729671] : [element(_729671, the_carrier(_728568)), relstr_set_smaller(_728568, _729547, _729671), 12345 ^ _284635 : [(12346 ^ _284635) ^ [] : [-(element(12344 ^ [_728568, _729547, _729671], the_carrier(_728568)))], (12348 ^ _284635) ^ [] : [-(relstr_set_smaller(_728568, _729547, 12344 ^ [_728568, _729547, _729671]))], (12350 ^ _284635) ^ [] : [related(_728568, _729671, 12344 ^ [_728568, _729547, _729671])]]]]]]], (12354 ^ _284635) ^ [_730293] : [relation(_730293), 12357 ^ _284635 : [(12358 ^ _284635) ^ [_730433] : [relation(_730433), -(relation_rng(relation_composition(_730293, _730433)) = relation_image(_730433, relation_rng(_730293)))]]], (12364 ^ _284635) ^ [_730682, _730684, _730686] : [relation(_730682), 12367 ^ _284635 : [(12368 ^ _284635) ^ [] : [in(_730686, relation_inverse_image(_730682, _730684)), 12372 ^ _284635 : [(12373 ^ _284635) ^ [] : [-(in(12371 ^ [_730682, _730684, _730686], relation_rng(_730682)))], (12375 ^ _284635) ^ [] : [-(in(ordered_pair(_730686, 12371 ^ [_730682, _730684, _730686]), _730682))], (12377 ^ _284635) ^ [] : [-(in(12371 ^ [_730682, _730684, _730686], _730684))]]], (12379 ^ _284635) ^ [] : [-(in(_730686, relation_inverse_image(_730682, _730684))), 12380 ^ _284635 : [(12381 ^ _284635) ^ [_731283] : [in(_731283, relation_rng(_730682)), in(ordered_pair(_730686, _731283), _730682), in(_731283, _730684)]]]]], (12393 ^ _284635) ^ [_731680, _731682] : [relation(_731680), -(subset(relation_inverse_image(_731680, _731682), relation_dom(_731680)))], (12399 ^ _284635) ^ [_731926, _731928, _731930, _731932] : [relation_of2_as_subset(_731926, _731928, _731932), subset(_731932, _731930), -(relation_of2_as_subset(_731926, _731928, _731930))], (12409 ^ _284635) ^ [_732235] : [top_str(_732235), 12412 ^ _284635 : [(12413 ^ _284635) ^ [_732383] : [element(_732383, powerset(powerset(the_carrier(_732235)))), 12416 ^ _284635 : [(12417 ^ _284635) ^ [] : [closed_subsets(_732383, _732235), -(open_subsets(complements_of_subsets(the_carrier(_732235), _732383), _732235))], (12423 ^ _284635) ^ [] : [open_subsets(complements_of_subsets(the_carrier(_732235), _732383), _732235), -(closed_subsets(_732383, _732235))]]]]], (12429 ^ _284635) ^ [_732891, _732893, _732895] : [relation(_732891), 12432 ^ _284635 : [(12433 ^ _284635) ^ [] : [in(_732895, relation_restriction(_732891, _732893)), 12436 ^ _284635 : [(12437 ^ _284635) ^ [] : [-(in(_732895, _732891))], (12439 ^ _284635) ^ [] : [-(in(_732895, cartesian_product2(_732893, _732893)))]]], (12441 ^ _284635) ^ [] : [-(in(_732895, relation_restriction(_732891, _732893))), in(_732895, _732891), in(_732895, cartesian_product2(_732893, _732893))]]], (12451 ^ _284635) ^ [_733533] : [antisymmetric_relstr(_733533), rel_str(_733533), 12458 ^ _284635 : [(12459 ^ _284635) ^ [_733817] : [ex_inf_of_relstr_set(_733533, _733817), 12463 ^ _284635 : [(12464 ^ _284635) ^ [] : [-(element(12462 ^ [_733533, _733817], the_carrier(_733533)))], (12466 ^ _284635) ^ [] : [-(relstr_element_smaller(_733533, _733817, 12462 ^ [_733533, _733817]))], (12468 ^ _284635) ^ [_734216] : [element(_734216, the_carrier(_733533)), relstr_element_smaller(_733533, _733817, _734216), -(related(_733533, _734216, 12462 ^ [_733533, _733817]))]]], (12478 ^ _284635) ^ [_734512] : [-(ex_inf_of_relstr_set(_733533, _734512)), 12479 ^ _284635 : [(12480 ^ _284635) ^ [_734636] : [element(_734636, the_carrier(_733533)), relstr_element_smaller(_733533, _734512, _734636), 12488 ^ _284635 : [(12489 ^ _284635) ^ [] : [-(element(12487 ^ [_733533, _734512, _734636], the_carrier(_733533)))], (12491 ^ _284635) ^ [] : [-(relstr_element_smaller(_733533, _734512, 12487 ^ [_733533, _734512, _734636]))], (12493 ^ _284635) ^ [] : [related(_733533, 12487 ^ [_733533, _734512, _734636], _734636)]]]]]]], (12497 ^ _284635) ^ [_735272, _735274] : [relation(_735272), -(_735274 = empty_set), subset(_735274, relation_rng(_735272)), relation_inverse_image(_735272, _735274) = empty_set], (12511 ^ _284635) ^ [_735686, _735688, _735690] : [relation(_735686), subset(_735690, _735688), -(subset(relation_inverse_image(_735686, _735690), relation_inverse_image(_735686, _735688)))], (12521 ^ _284635) ^ [_736005, _736007] : [relation(_736005), function(_736005), finite(_736007), -(finite(relation_image(_736005, _736007)))], (12535 ^ _284635) ^ [_736379] : [one_sorted_str(_736379), 12538 ^ _284635 : [(12539 ^ _284635) ^ [_736527] : [element(_736527, powerset(the_carrier(_736379))), -(subset_complement(the_carrier(_736379), _736527) = subset_difference(the_carrier(_736379), cast_as_carrier_subset(_736379), _736527))]]], (12545 ^ _284635) ^ [_736764] : [top_str(_736764), 12548 ^ _284635 : [(12549 ^ _284635) ^ [_736912] : [element(_736912, powerset(powerset(the_carrier(_736764)))), 12552 ^ _284635 : [(12553 ^ _284635) ^ [] : [open_subsets(_736912, _736764), -(closed_subsets(complements_of_subsets(the_carrier(_736764), _736912), _736764))], (12559 ^ _284635) ^ [] : [closed_subsets(complements_of_subsets(the_carrier(_736764), _736912), _736764), -(open_subsets(_736912, _736764))]]]]], (12565 ^ _284635) ^ [_737406, _737408] : [relation(_737406), -(relation_restriction(_737406, _737408) = relation_dom_restriction(relation_rng_restriction(_737408, _737406), _737408))], (12571 ^ _284635) ^ [_737617, _737619] : [-(subset(set_intersection2(_737619, _737617), _737619))], (12573 ^ _284635) ^ [_737715] : [finite(_737715), 12576 ^ _284635 : [(12577 ^ _284635) ^ [_737890] : [element(_737890, powerset(powerset(_737715))), -(_737890 = empty_set), 12585 ^ _284635 : [(12586 ^ _284635) ^ [] : [-(in(12584 ^ [_737715, _737890], _737890))], (12588 ^ _284635) ^ [_738289] : [-(_738289 = 12584 ^ [_737715, _737890]), in(_738289, _737890), subset(12584 ^ [_737715, _737890], _738289)]]]]], (12598 ^ _284635) ^ [_738646, _738648] : [relation(_738646), -(relation_restriction(_738646, _738648) = relation_rng_restriction(_738648, relation_dom_restriction(_738646, _738648)))], (12604 ^ _284635) ^ [_738886, _738888, _738890] : [relation(_738886), in(_738890, relation_field(relation_restriction(_738886, _738888))), 12611 ^ _284635 : [(12612 ^ _284635) ^ [] : [-(in(_738890, relation_field(_738886)))], (12614 ^ _284635) ^ [] : [-(in(_738890, _738888))]]], (12616 ^ _284635) ^ [_739298, _739300, _739302] : [-(subset(_739302, set_intersection2(_739300, _739298))), subset(_739302, _739300), subset(_739302, _739298)], (12626 ^ _284635) ^ [_739584] : [-(set_union2(_739584, empty_set) = _739584)], (12628 ^ _284635) ^ [_739694, _739696] : [element(_739694, the_carrier(boole_lattice(_739696))), 12631 ^ _284635 : [(12632 ^ _284635) ^ [_739867] : [element(_739867, the_carrier(boole_lattice(_739696))), 12635 ^ _284635 : [(12636 ^ _284635) ^ [] : [-(join(boole_lattice(_739696), _739694, _739867) = set_union2(_739694, _739867))], (12638 ^ _284635) ^ [] : [-(meet(boole_lattice(_739696), _739694, _739867) = set_intersection2(_739694, _739867))]]]]], (12640 ^ _284635) ^ [_740213, _740215] : [in(_740215, _740213), -(element(_740215, _740213))], (12646 ^ _284635) ^ [_740437, _740439, _740441] : [-(subset(_740441, _740437)), subset(_740441, _740439), subset(_740439, _740437)], (12656 ^ _284635) ^ [] : [-(powerset(empty_set) = singleton(empty_set))], (12658 ^ _284635) ^ [_740813, _740815, _740817] : [relation(_740813), in(ordered_pair(_740817, _740815), _740813), 12665 ^ _284635 : [(12666 ^ _284635) ^ [] : [-(in(_740817, relation_dom(_740813)))], (12668 ^ _284635) ^ [] : [-(in(_740815, relation_rng(_740813)))]]], (12670 ^ _284635) ^ [_741211, _741213] : [relation(_741211), 12673 ^ _284635 : [(12674 ^ _284635) ^ [] : [-(subset(relation_field(relation_restriction(_741211, _741213)), relation_field(_741211)))], (12676 ^ _284635) ^ [] : [-(subset(relation_field(relation_restriction(_741211, _741213)), _741213))]]], (12678 ^ _284635) ^ [_741518, _741520] : [relation(_741518), function(_741518), 12685 ^ _284635 : [(12686 ^ _284635) ^ [_741768] : [relation(_741768), function(_741768), 12693 ^ _284635 : [(12694 ^ _284635) ^ [] : [in(_741520, relation_dom(relation_composition(_741768, _741518))), 12697 ^ _284635 : [(12698 ^ _284635) ^ [] : [-(in(_741520, relation_dom(_741768)))], (12700 ^ _284635) ^ [] : [-(in(apply(_741768, _741520), relation_dom(_741518)))]]], (12702 ^ _284635) ^ [] : [-(in(_741520, relation_dom(relation_composition(_741768, _741518)))), in(_741520, relation_dom(_741768)), in(apply(_741768, _741520), relation_dom(_741518))]]]]], (12712 ^ _284635) ^ [_742574, _742576, _742578, _742580] : [function(_742574), quasi_total(_742574, _742580, _742578), relation_of2_as_subset(_742574, _742580, _742578), 12723 ^ _284635 : [(12724 ^ _284635) ^ [_742943] : [relation(_742943), function(_742943), in(_742576, _742580), -(_742578 = empty_set), -(apply(relation_composition(_742574, _742943), _742576) = apply(_742943, apply(_742574, _742576)))]]], (12742 ^ _284635) ^ [_743500] : [epsilon_transitive(_743500), 12745 ^ _284635 : [(12746 ^ _284635) ^ [_743636] : [ordinal(_743636), proper_subset(_743500, _743636), -(in(_743500, _743636))]]], (12756 ^ _284635) ^ [_743926] : [relation(_743926), -(subset(_743926, cartesian_product2(relation_dom(_743926), relation_rng(_743926))))], (12762 ^ _284635) ^ [_744156, _744158, _744160] : [relation(_744156), -(subset(fiber(relation_restriction(_744156, _744160), _744158), fiber(_744156, _744158)))], (12768 ^ _284635) ^ [_744388, _744390] : [relation(_744388), function(_744388), 12775 ^ _284635 : [(12776 ^ _284635) ^ [_744637] : [relation(_744637), function(_744637), in(_744390, relation_dom(relation_composition(_744637, _744388))), -(apply(relation_composition(_744637, _744388), _744390) = apply(_744388, apply(_744637, _744390)))]]], (12790 ^ _284635) ^ [_745068] : [one_sorted_str(_745068), 12793 ^ _284635 : [(12794 ^ _284635) ^ [_745219] : [element(_745219, powerset(the_carrier(_745068))), -(subset_difference(the_carrier(_745068), cast_as_carrier_subset(_745068), subset_difference(the_carrier(_745068), cast_as_carrier_subset(_745068), _745219)) = _745219)]]], (12800 ^ _284635) ^ [_745490, _745492, _745494] : [relation_of2_as_subset(_745490, _745492, _745494), 12803 ^ _284635 : [(12804 ^ _284635) ^ [] : [12806 ^ _284635 : [(12807 ^ _284635) ^ [] : [-(in(12805 ^ [_745490, _745492, _745494], _745492))], (12809 ^ _284635) ^ [_745848] : [in(ordered_pair(12805 ^ [_745490, _745492, _745494], _745848), _745490)]], -(relation_dom_as_subset(_745492, _745494, _745490) = _745492)], (12813 ^ _284635) ^ [] : [relation_dom_as_subset(_745492, _745494, _745490) = _745492, 12816 ^ _284635 : [(12817 ^ _284635) ^ [_746085] : [in(_746085, _745492), -(in(ordered_pair(_746085, 12820 ^ [_745490, _745492, _745494, _746085]), _745490))]]]]], (12824 ^ _284635) ^ [_746407, _746409] : [relation(_746407), reflexive(_746407), -(reflexive(relation_restriction(_746407, _746409)))], (12834 ^ _284635) ^ [_746706, _746708] : [relation(_746706), function(_746706), 12841 ^ _284635 : [(12842 ^ _284635) ^ [_746952] : [relation(_746952), function(_746952), in(_746708, relation_dom(_746706)), -(apply(relation_composition(_746706, _746952), _746708) = apply(_746952, apply(_746706, _746708)))]]], (12856 ^ _284635) ^ [_747377] : [12871 ^ _284635 : [(12872 ^ _284635) ^ [_747780] : [element(_747780, the_carrier(_747377)), 12875 ^ _284635 : [(12876 ^ _284635) ^ [_747930] : [element(_747930, the_carrier(_747377)), -(below(_747377, meet_commut(_747377, _747780, _747930), _747780))]]]], -(empty_carrier(_747377)), meet_commutative(_747377), meet_absorbing(_747377), latt_str(_747377)], (12882 ^ _284635) ^ [_748174, _748176] : [ordinal(_748174), in(_748176, _748174), -(ordinal(_748176))], (12892 ^ _284635) ^ [_748483, _748485, _748487] : [relation_of2_as_subset(_748483, _748487, _748485), 12895 ^ _284635 : [(12896 ^ _284635) ^ [] : [12898 ^ _284635 : [(12899 ^ _284635) ^ [] : [-(in(12897 ^ [_748483, _748485, _748487], _748485))], (12901 ^ _284635) ^ [_748841] : [in(ordered_pair(_748841, 12897 ^ [_748483, _748485, _748487]), _748483)]], -(relation_rng_as_subset(_748487, _748485, _748483) = _748485)], (12905 ^ _284635) ^ [] : [relation_rng_as_subset(_748487, _748485, _748483) = _748485, 12908 ^ _284635 : [(12909 ^ _284635) ^ [_749078] : [in(_749078, _748485), -(in(ordered_pair(12912 ^ [_748483, _748485, _748487, _749078], _749078), _748483))]]]]], (12916 ^ _284635) ^ [_749400, _749402] : [relation(_749400), connected(_749400), -(connected(relation_restriction(_749400, _749402)))], (12926 ^ _284635) ^ [_749685] : [ordinal(_749685), 12929 ^ _284635 : [(12930 ^ _284635) ^ [_749835] : [ordinal(_749835), -(in(_749685, _749835)), -(_749685 = _749835), -(in(_749835, _749685))]]], (12944 ^ _284635) ^ [_750238, _750240] : [relation(_750238), transitive(_750238), -(transitive(relation_restriction(_750238, _750240)))], (12954 ^ _284635) ^ [_750523] : [antisymmetric_relstr(_750523), rel_str(_750523), 12961 ^ _284635 : [(12962 ^ _284635) ^ [_750766] : [element(_750766, the_carrier(_750523)), 12965 ^ _284635 : [(12966 ^ _284635) ^ [_750925] : [element(_750925, the_carrier(_750523)), -(_750766 = _750925), related(_750523, _750766, _750925), related(_750523, _750925, _750766)]]]]], (12980 ^ _284635) ^ [_751337] : [relation(_751337), 12983 ^ _284635 : [(12984 ^ _284635) ^ [_751487] : [relation(_751487), subset(_751337, _751487), 12991 ^ _284635 : [(12992 ^ _284635) ^ [] : [-(subset(relation_dom(_751337), relation_dom(_751487)))], (12994 ^ _284635) ^ [] : [-(subset(relation_rng(_751337), relation_rng(_751487)))]]]]], (12996 ^ _284635) ^ [_751882, _751884] : [relation(_751882), antisymmetric(_751882), -(antisymmetric(relation_restriction(_751882, _751884)))], (13006 ^ _284635) ^ [_752181, _752183] : [relation(_752181), well_orders(_752181, _752183), 13013 ^ _284635 : [(13014 ^ _284635) ^ [] : [-(relation_field(relation_restriction(_752181, _752183)) = _752183)], (13016 ^ _284635) ^ [] : [-(well_ordering(relation_restriction(_752181, _752183)))]]], (13018 ^ _284635) ^ [_752553] : [relation(_752553), function(_752553), finite(relation_dom(_752553)), -(finite(relation_rng(_752553)))], (13032 ^ _284635) ^ [_752915] : [-(empty_carrier(_752915)), join_commutative(_752915), join_semilatt_str(_752915), 13043 ^ _284635 : [(13044 ^ _284635) ^ [_753244] : [element(_753244, the_carrier(_752915)), 13047 ^ _284635 : [(13048 ^ _284635) ^ [_753403] : [element(_753403, the_carrier(_752915)), -(_753244 = _753403), below(_752915, _753244, _753403), below(_752915, _753403, _753244)]]]]], (13062 ^ _284635) ^ [_753817] : [transitive_relstr(_753817), rel_str(_753817), 13069 ^ _284635 : [(13070 ^ _284635) ^ [_754074] : [element(_754074, the_carrier(_753817)), 13073 ^ _284635 : [(13074 ^ _284635) ^ [_754247] : [element(_754247, the_carrier(_753817)), 13077 ^ _284635 : [(13078 ^ _284635) ^ [_754413] : [element(_754413, the_carrier(_753817)), -(related(_753817, _754074, _754413)), related(_753817, _754074, _754247), related(_753817, _754247, _754413)]]]]]]], (13093 ^ _284635) ^ [_754897] : [-(relation(13091 ^ [_754897]))], (13095 ^ _284635) ^ [_754945] : [-(well_orders(13091 ^ [_754945], _754945))], (13097 ^ _284635) ^ [_755073, _755075, _755077] : [subset(_755077, _755075), -(subset(set_intersection2(_755077, _755073), set_intersection2(_755075, _755073)))], (13103 ^ _284635) ^ [_755301, _755303] : [-(empty_carrier(_755301)), lattice(_755301), latt_str(_755301), 13114 ^ _284635 : [(13115 ^ _284635) ^ [_755628] : [element(_755628, the_carrier(_755301)), 13118 ^ _284635 : [(13119 ^ _284635) ^ [] : [latt_set_smaller(_755301, _755628, _755303), -(relstr_element_smaller(poset_of_lattice(_755301), _755303, cast_to_el_of_LattPOSet(_755301, _755628)))], (13125 ^ _284635) ^ [] : [relstr_element_smaller(poset_of_lattice(_755301), _755303, cast_to_el_of_LattPOSet(_755301, _755628)), -(latt_set_smaller(_755301, _755628, _755303))]]]]], (13131 ^ _284635) ^ [_756128] : [-(empty(_756128)), 13137 ^ _284635 : [(13138 ^ _284635) ^ [] : [-(in(13136 ^ [_756128], _756128))], (13140 ^ _284635) ^ [] : [-(13136 ^ [_756128] = empty_set)]], 13142 ^ _284635 : [(13143 ^ _284635) ^ [] : [-(relation(13141 ^ [_756128]))], (13145 ^ _284635) ^ [] : [-(function(13141 ^ [_756128]))], (13147 ^ _284635) ^ [] : [-(relation_dom(13141 ^ [_756128]) = _756128)], (13149 ^ _284635) ^ [_756796] : [in(_756796, _756128), -(in(apply(13141 ^ [_756128], _756796), _756796))]]], (13155 ^ _284635) ^ [_757040, _757042] : [subset(_757042, _757040), -(set_intersection2(_757042, _757040) = _757042)], (13161 ^ _284635) ^ [_757256, _757258] : [-(empty_carrier(_757256)), lattice(_757256), latt_str(_757256), 13172 ^ _284635 : [(13173 ^ _284635) ^ [_757585] : [element(_757585, the_carrier(poset_of_lattice(_757256))), 13176 ^ _284635 : [(13177 ^ _284635) ^ [] : [relstr_element_smaller(poset_of_lattice(_757256), _757258, _757585), -(latt_set_smaller(_757256, cast_to_el_of_lattice(_757256, _757585), _757258))], (13183 ^ _284635) ^ [] : [latt_set_smaller(_757256, cast_to_el_of_lattice(_757256, _757585), _757258), -(relstr_element_smaller(poset_of_lattice(_757256), _757258, _757585))]]]]], (13189 ^ _284635) ^ [_758089] : [top_str(_758089), 13192 ^ _284635 : [(13193 ^ _284635) ^ [_758235] : [element(_758235, powerset(the_carrier(_758089))), 13196 ^ _284635 : [(13197 ^ _284635) ^ [] : [closed_subset(_758235, _758089), -(open_subset(subset_complement(the_carrier(_758089), _758235), _758089))], (13203 ^ _284635) ^ [] : [open_subset(subset_complement(the_carrier(_758089), _758235), _758089), -(closed_subset(_758235, _758089))]]]]], (13209 ^ _284635) ^ [_758711] : [13224 ^ _284635 : [(13225 ^ _284635) ^ [_759115] : [-(join_of_latt_set(_758711, _759115) = join_on_relstr(poset_of_lattice(_758711), _759115))], (13227 ^ _284635) ^ [_759169] : [-(meet_of_latt_set(_758711, _759169) = meet_on_relstr(poset_of_lattice(_758711), _759169))]], -(empty_carrier(_758711)), lattice(_758711), complete_latt_str(_758711), latt_str(_758711)], (13229 ^ _284635) ^ [_759264] : [-(set_intersection2(_759264, empty_set) = empty_set)], (13231 ^ _284635) ^ [_759374, _759376] : [element(_759374, the_carrier(boole_lattice(_759376))), 13234 ^ _284635 : [(13235 ^ _284635) ^ [_759532] : [element(_759532, the_carrier(boole_lattice(_759376))), 13238 ^ _284635 : [(13239 ^ _284635) ^ [] : [below(boole_lattice(_759376), _759374, _759532), -(subset(_759374, _759532))], (13245 ^ _284635) ^ [] : [subset(_759374, _759532), -(below(boole_lattice(_759376), _759374, _759532))]]]]], (13251 ^ _284635) ^ [_760034, _760036] : [element(_760036, _760034), -(empty(_760034)), -(in(_760036, _760034))], (13261 ^ _284635) ^ [_760332, _760334] : [-(_760334 = _760332), 13265 ^ _284635 : [(13266 ^ _284635) ^ [] : [-(in(13262 ^ [_760332, _760334], _760334))], (13268 ^ _284635) ^ [] : [in(13262 ^ [_760332, _760334], _760332)]], 13269 ^ _284635 : [(13270 ^ _284635) ^ [] : [-(in(13262 ^ [_760332, _760334], _760332))], (13272 ^ _284635) ^ [] : [in(13262 ^ [_760332, _760334], _760334)]]], (13276 ^ _284635) ^ [_760833] : [-(reflexive(inclusion_relation(_760833)))], (13278 ^ _284635) ^ [_760912] : [-(subset(empty_set, _760912))], (13280 ^ _284635) ^ [_761019, _761021] : [-(empty_carrier(_761019)), lattice(_761019), latt_str(_761019), 13291 ^ _284635 : [(13292 ^ _284635) ^ [_761346] : [element(_761346, the_carrier(_761019)), 13295 ^ _284635 : [(13296 ^ _284635) ^ [] : [latt_element_smaller(_761019, _761346, _761021), -(relstr_set_smaller(poset_of_lattice(_761019), _761021, cast_to_el_of_LattPOSet(_761019, _761346)))], (13302 ^ _284635) ^ [] : [relstr_set_smaller(poset_of_lattice(_761019), _761021, cast_to_el_of_LattPOSet(_761019, _761346)), -(latt_element_smaller(_761019, _761346, _761021))]]]]], (13308 ^ _284635) ^ [_761874, _761876, _761878] : [relation(_761874), in(ordered_pair(_761878, _761876), _761874), 13315 ^ _284635 : [(13316 ^ _284635) ^ [] : [-(in(_761878, relation_field(_761874)))], (13318 ^ _284635) ^ [] : [-(in(_761876, relation_field(_761874)))]]], (13320 ^ _284635) ^ [_762258] : [top_str(_762258), 13323 ^ _284635 : [(13324 ^ _284635) ^ [_762404] : [element(_762404, powerset(the_carrier(_762258))), 13327 ^ _284635 : [(13328 ^ _284635) ^ [] : [open_subset(_762404, _762258), -(closed_subset(subset_complement(the_carrier(_762258), _762404), _762258))], (13334 ^ _284635) ^ [] : [closed_subset(subset_complement(the_carrier(_762258), _762404), _762258), -(open_subset(_762404, _762258))]]]]], (13340 ^ _284635) ^ [_762880] : [antisymmetric_relstr(_762880), rel_str(_762880), 13347 ^ _284635 : [(13348 ^ _284635) ^ [_763193] : [element(_763193, the_carrier(_762880)), 13351 ^ _284635 : [(13372 ^ _284635) ^ [_764066] : [13384 ^ _284635 : [(13385 ^ _284635) ^ [] : [-(_763193 = join_on_relstr(_762880, _764066))], (13387 ^ _284635) ^ [] : [-(ex_sup_of_relstr_set(_762880, _764066))]], relstr_set_smaller(_762880, _764066, _763193), 13378 ^ _284635 : [(13379 ^ _284635) ^ [] : [-(element(13377 ^ [_762880, _763193, _764066], the_carrier(_762880)))], (13381 ^ _284635) ^ [] : [-(relstr_set_smaller(_762880, _764066, 13377 ^ [_762880, _763193, _764066]))], (13383 ^ _284635) ^ [] : [related(_762880, _763193, 13377 ^ [_762880, _763193, _764066])]]], (13352 ^ _284635) ^ [_763442] : [_763193 = join_on_relstr(_762880, _763442), ex_sup_of_relstr_set(_762880, _763442), 13359 ^ _284635 : [(13360 ^ _284635) ^ [] : [-(relstr_set_smaller(_762880, _763442, _763193))], (13362 ^ _284635) ^ [_763772] : [element(_763772, the_carrier(_762880)), relstr_set_smaller(_762880, _763442, _763772), -(related(_762880, _763193, _763772))]]]]]]], (13389 ^ _284635) ^ [_764736, _764738] : [-(empty_carrier(_764736)), lattice(_764736), latt_str(_764736), 13400 ^ _284635 : [(13401 ^ _284635) ^ [_765065] : [element(_765065, the_carrier(poset_of_lattice(_764736))), 13404 ^ _284635 : [(13405 ^ _284635) ^ [] : [relstr_set_smaller(poset_of_lattice(_764736), _764738, _765065), -(latt_element_smaller(_764736, cast_to_el_of_lattice(_764736, _765065), _764738))], (13411 ^ _284635) ^ [] : [latt_element_smaller(_764736, cast_to_el_of_lattice(_764736, _765065), _764738), -(relstr_set_smaller(poset_of_lattice(_764736), _764738, _765065))]]]]], (13417 ^ _284635) ^ [_765569] : [-(ordinal(_765569)), 13419 ^ _284635 : [(13420 ^ _284635) ^ [] : [-(in(13418 ^ [_765569], _765569))], (13422 ^ _284635) ^ [] : [ordinal(13418 ^ [_765569]), subset(13418 ^ [_765569], _765569)]]], (13430 ^ _284635) ^ [_765999, _766001] : [relation(_765999), well_founded_relation(_765999), -(well_founded_relation(relation_restriction(_765999, _766001)))], (13440 ^ _284635) ^ [_766284] : [-(empty_carrier(_766284)), lattice(_766284), latt_str(_766284), 13451 ^ _284635 : [(13452 ^ _284635) ^ [_766617] : [element(_766617, the_carrier(_766284)), 13455 ^ _284635 : [(13456 ^ _284635) ^ [_766780] : [element(_766780, the_carrier(_766284)), 13459 ^ _284635 : [(13460 ^ _284635) ^ [] : [in(ordered_pair_as_product_element(the_carrier(_766284), the_carrier(_766284), _766617, _766780), relation_of_lattice(_766284)), -(below_refl(_766284, _766617, _766780))], (13466 ^ _284635) ^ [] : [below_refl(_766284, _766617, _766780), -(in(ordered_pair_as_product_element(the_carrier(_766284), the_carrier(_766284), _766617, _766780), relation_of_lattice(_766284)))]]]]]]], (13472 ^ _284635) ^ [_767314, _767316] : [ordinal(_767314), subset(_767316, _767314), -(_767316 = empty_set), 13484 ^ _284635 : [(13485 ^ _284635) ^ [] : [-(ordinal(13483 ^ [_767314, _767316]))], (13487 ^ _284635) ^ [] : [-(in(13483 ^ [_767314, _767316], _767316))], (13489 ^ _284635) ^ [_767866] : [ordinal(_767866), in(_767866, _767316), -(ordinal_subset(13483 ^ [_767314, _767316], _767866))]]], (13499 ^ _284635) ^ [_768208, _768210] : [relation(_768208), well_ordering(_768208), -(well_ordering(relation_restriction(_768208, _768210)))], (13509 ^ _284635) ^ [_768493] : [ordinal(_768493), 13512 ^ _284635 : [(13513 ^ _284635) ^ [_768631] : [ordinal(_768631), 13516 ^ _284635 : [(13517 ^ _284635) ^ [] : [in(_768493, _768631), -(ordinal_subset(succ(_768493), _768631))], (13523 ^ _284635) ^ [] : [ordinal_subset(succ(_768493), _768631), -(in(_768493, _768631))]]]]], (13529 ^ _284635) ^ [_769116, _769118, _769120] : [subset(_769120, _769118), -(subset(set_difference(_769120, _769116), set_difference(_769118, _769116)))], (13535 ^ _284635) ^ [_769372, _769374, _769376, _769378] : [ordered_pair(_769378, _769376) = ordered_pair(_769374, _769372), 13538 ^ _284635 : [(13539 ^ _284635) ^ [] : [-(_769378 = _769374)], (13541 ^ _284635) ^ [] : [-(_769376 = _769372)]]], (13543 ^ _284635) ^ [_769685, _769687] : [relation(_769685), function(_769685), 13550 ^ _284635 : [(13551 ^ _284635) ^ [] : [_769685 = identity_relation(_769687), 13554 ^ _284635 : [(13555 ^ _284635) ^ [] : [-(relation_dom(_769685) = _769687)], (13557 ^ _284635) ^ [_770104] : [in(_770104, _769687), -(apply(_769685, _770104) = _770104)]]], (13563 ^ _284635) ^ [] : [-(_769685 = identity_relation(_769687)), relation_dom(_769685) = _769687, 13569 ^ _284635 : [(13570 ^ _284635) ^ [] : [-(in(13568 ^ [_769685, _769687], _769687))], (13572 ^ _284635) ^ [] : [apply(_769685, 13568 ^ [_769685, _769687]) = 13568 ^ [_769685, _769687]]]]]], (13576 ^ _284635) ^ [_770695] : [-(empty_carrier(_770695)), lattice(_770695), complete_latt_str(_770695), latt_str(_770695), 13591 ^ _284635 : [(13592 ^ _284635) ^ [_771122] : [element(_771122, the_carrier(_770695)), 13595 ^ _284635 : [(13612 ^ _284635) ^ [_771854] : [-(_771122 = meet_of_latt_set(_770695, _771854)), latt_set_smaller(_770695, _771122, _771854), 13618 ^ _284635 : [(13619 ^ _284635) ^ [] : [-(element(13617 ^ [_770695, _771122, _771854], the_carrier(_770695)))], (13621 ^ _284635) ^ [] : [-(latt_set_smaller(_770695, 13617 ^ [_770695, _771122, _771854], _771854))], (13623 ^ _284635) ^ [] : [below_refl(_770695, 13617 ^ [_770695, _771122, _771854], _771122)]]], (13596 ^ _284635) ^ [_771325] : [_771122 = meet_of_latt_set(_770695, _771325), 13599 ^ _284635 : [(13600 ^ _284635) ^ [] : [-(latt_set_smaller(_770695, _771122, _771325))], (13602 ^ _284635) ^ [_771562] : [element(_771562, the_carrier(_770695)), latt_set_smaller(_770695, _771562, _771325), -(below_refl(_770695, _771562, _771122))]]]]]]], (13627 ^ _284635) ^ [_772451, _772453] : [in(_772451, _772453), -(apply(identity_relation(_772453), _772451) = _772451)], (13633 ^ _284635) ^ [_772656, _772658] : [-(subset(set_difference(_772658, _772656), _772658))], (13635 ^ _284635) ^ [_772754] : [relation(_772754), 13638 ^ _284635 : [(13639 ^ _284635) ^ [] : [-(relation_rng(_772754) = relation_dom(relation_inverse(_772754)))], (13641 ^ _284635) ^ [] : [-(relation_dom(_772754) = relation_rng(relation_inverse(_772754)))]]], (13643 ^ _284635) ^ [_773082, _773084] : [set_difference(_773084, _773082) = empty_set, -(subset(_773084, _773082))], (13649 ^ _284635) ^ [_773250, _773252] : [subset(_773252, _773250), -(set_difference(_773252, _773250) = empty_set)], (13655 ^ _284635) ^ [_773497, _773499] : [subset(singleton(_773499), _773497), -(in(_773499, _773497))], (13661 ^ _284635) ^ [_773663, _773665] : [in(_773665, _773663), -(subset(singleton(_773665), _773663))], (13667 ^ _284635) ^ [_773922, _773924, _773926] : [subset(unordered_pair(_773926, _773924), _773922), 13670 ^ _284635 : [(13671 ^ _284635) ^ [] : [-(in(_773926, _773922))], (13673 ^ _284635) ^ [] : [-(in(_773924, _773922))]]], (13675 ^ _284635) ^ [_774173, _774175, _774177] : [-(subset(unordered_pair(_774177, _774175), _774173)), in(_774177, _774173), in(_774175, _774173)], (13685 ^ _284635) ^ [_774490, _774492] : [relation(_774490), -(relation_field(relation_restriction(_774490, _774492)) = _774492), well_ordering(_774490), subset(_774492, relation_field(_774490))], (13699 ^ _284635) ^ [_774873, _774875] : [-(set_union2(_774875, set_difference(_774873, _774875)) = set_union2(_774875, _774873))], (13711 ^ _284635) ^ [_775280, _775282] : [13712 ^ _284635 : [(13713 ^ _284635) ^ [] : [_775282 = empty_set], (13715 ^ _284635) ^ [] : [_775282 = singleton(_775280)]], -(subset(_775282, singleton(_775280)))], (13701 ^ _284635) ^ [_775020, _775022] : [subset(_775022, singleton(_775020)), -(_775022 = empty_set), -(_775022 = singleton(_775020))], (13719 ^ _284635) ^ [_775545] : [-(set_difference(_775545, empty_set) = _775545)], (13721 ^ _284635) ^ [_775646] : [-(lower_bounded_semilattstr(boole_lattice(_775646)))], (13723 ^ _284635) ^ [_775691] : [-(bottom_of_semilattstr(boole_lattice(_775691)) = empty_set)], (13725 ^ _284635) ^ [_775818, _775820, _775822] : [in(_775822, _775820), in(_775820, _775818), in(_775818, _775822)], (13735 ^ _284635) ^ [_776155, _776157] : [element(_776157, powerset(_776155)), -(subset(_776157, _776155))], (13741 ^ _284635) ^ [_776321, _776323] : [subset(_776323, _776321), -(element(_776323, powerset(_776321)))], (13747 ^ _284635) ^ [_776508] : [-(transitive(inclusion_relation(_776508)))], (13749 ^ _284635) ^ [_776636, _776638] : [-(disjoint(_776638, _776636)), 13753 ^ _284635 : [(13754 ^ _284635) ^ [] : [-(in(13752 ^ [_776636, _776638], _776638))], (13756 ^ _284635) ^ [] : [-(in(13752 ^ [_776636, _776638], _776636))]]], (13758 ^ _284635) ^ [_776950, _776952] : [disjoint(_776952, _776950), 13759 ^ _284635 : [(13760 ^ _284635) ^ [_777042] : [in(_777042, _776952), in(_777042, _776950)]]], (13768 ^ _284635) ^ [_777299] : [subset(_777299, empty_set), -(_777299 = empty_set)], (13774 ^ _284635) ^ [_777488, _777490] : [-(set_difference(set_union2(_777490, _777488), _777488) = set_difference(_777490, _777488))], (13776 ^ _284635) ^ [_777592] : [ordinal(_777592), 13779 ^ _284635 : [(13794 ^ _284635) ^ [] : [13796 ^ _284635 : [(13797 ^ _284635) ^ [] : [-(ordinal(13795 ^ [_777592]))], (13799 ^ _284635) ^ [] : [-(in(13795 ^ [_777592], _777592))], (13801 ^ _284635) ^ [] : [in(succ(13795 ^ [_777592]), _777592)]], -(being_limit_ordinal(_777592))], (13780 ^ _284635) ^ [] : [being_limit_ordinal(_777592), 13783 ^ _284635 : [(13784 ^ _284635) ^ [_777838] : [ordinal(_777838), in(_777838, _777592), -(in(succ(_777838), _777592))]]]]], (13805 ^ _284635) ^ [_778464] : [ordinal(_778464), 13808 ^ _284635 : [(13809 ^ _284635) ^ [] : [-(being_limit_ordinal(_778464)), 13813 ^ _284635 : [(13814 ^ _284635) ^ [] : [-(ordinal(13812 ^ [_778464]))], (13816 ^ _284635) ^ [] : [-(_778464 = succ(13812 ^ [_778464]))]]], (13818 ^ _284635) ^ [] : [being_limit_ordinal(_778464), 13819 ^ _284635 : [(13820 ^ _284635) ^ [_778935] : [ordinal(_778935), _778464 = succ(_778935)]]]]], (13828 ^ _284635) ^ [_779188] : [13843 ^ _284635 : [(13844 ^ _284635) ^ [] : [-(ex_sup_of_relstr_set(_779188, empty_set))], (13846 ^ _284635) ^ [] : [-(ex_inf_of_relstr_set(_779188, the_carrier(_779188)))]], -(empty_carrier(_779188)), antisymmetric_relstr(_779188), lower_bounded_relstr(_779188), rel_str(_779188)], (13848 ^ _284635) ^ [_779719, _779721] : [element(_779719, powerset(_779721)), 13851 ^ _284635 : [(13852 ^ _284635) ^ [_779871] : [element(_779871, powerset(_779721)), 13855 ^ _284635 : [(13856 ^ _284635) ^ [] : [disjoint(_779719, _779871), -(subset(_779719, subset_complement(_779721, _779871)))], (13862 ^ _284635) ^ [] : [subset(_779719, subset_complement(_779721, _779871)), -(disjoint(_779719, _779871))]]]]], (13868 ^ _284635) ^ [_780355] : [topological_space(_780355), top_str(_780355), 13875 ^ _284635 : [(13876 ^ _284635) ^ [_780607] : [element(_780607, powerset(powerset(the_carrier(_780355)))), 13882 ^ _284635 : [(13883 ^ _284635) ^ [] : [-(element(13881 ^ [_780355, _780607], powerset(the_carrier(_780355))))], (13885 ^ _284635) ^ [] : [-(in(13881 ^ [_780355, _780607], _780607))], (13887 ^ _284635) ^ [] : [closed_subset(13881 ^ [_780355, _780607], _780355)]], -(closed_subset(meet_of_subsets(the_carrier(_780355), _780607), _780355))]]], (13891 ^ _284635) ^ [_781167] : [relation(_781167), 13894 ^ _284635 : [(13895 ^ _284635) ^ [_781304] : [relation(_781304), -(subset(relation_dom(relation_composition(_781167, _781304)), relation_dom(_781167)))]]], (13901 ^ _284635) ^ [_781519] : [top_str(_781519), 13904 ^ _284635 : [(13905 ^ _284635) ^ [_781657] : [element(_781657, powerset(the_carrier(_781519))), -(subset(interior(_781519, _781657), _781657))]]], (13911 ^ _284635) ^ [_781874] : [top_str(_781874), 13914 ^ _284635 : [(13915 ^ _284635) ^ [_782058] : [element(_782058, powerset(the_carrier(_781874))), 13918 ^ _284635 : [(13919 ^ _284635) ^ [_782243] : [in(_782243, the_carrier(_781874)), 13922 ^ _284635 : [(13941 ^ _284635) ^ [] : [13943 ^ _284635 : [(13944 ^ _284635) ^ [] : [-(element(13942 ^ [_781874, _782058, _782243], powerset(the_carrier(_781874))))], (13946 ^ _284635) ^ [] : [-(closed_subset(13942 ^ [_781874, _782058, _782243], _781874))], (13948 ^ _284635) ^ [] : [-(subset(_782058, 13942 ^ [_781874, _782058, _782243]))], (13950 ^ _284635) ^ [] : [in(_782243, 13942 ^ [_781874, _782058, _782243])]], -(in(_782243, topstr_closure(_781874, _782058)))], (13923 ^ _284635) ^ [] : [in(_782243, topstr_closure(_781874, _782058)), 13926 ^ _284635 : [(13927 ^ _284635) ^ [_782532] : [element(_782532, powerset(the_carrier(_781874))), -(in(_782243, _782532)), closed_subset(_782532, _781874), subset(_782058, _782532)]]]]]]]]], (13954 ^ _284635) ^ [_783432] : [relation(_783432), 13957 ^ _284635 : [(13958 ^ _284635) ^ [_783569] : [relation(_783569), -(subset(relation_rng(relation_composition(_783432, _783569)), relation_rng(_783569)))]]], (13964 ^ _284635) ^ [_783798, _783800] : [subset(_783800, _783798), -(_783798 = set_union2(_783800, set_difference(_783798, _783800)))], (13970 ^ _284635) ^ [_784048, _784050, _784052, _784054] : [function(_784048), quasi_total(_784048, _784054, _784052), relation_of2_as_subset(_784048, _784054, _784052), -(_784052 = empty_set), 13985 ^ _284635 : [(13986 ^ _284635) ^ [_784526] : [in(_784526, relation_inverse_image(_784048, _784050)), 13989 ^ _284635 : [(13990 ^ _284635) ^ [] : [-(in(_784526, _784054))], (13992 ^ _284635) ^ [] : [-(in(apply(_784048, _784526), _784050))]]], (13994 ^ _284635) ^ [_784807] : [-(in(_784807, relation_inverse_image(_784048, _784050))), in(_784807, _784054), in(apply(_784048, _784807), _784050)]]], (14004 ^ _284635) ^ [_785157] : [topological_space(_785157), top_str(_785157), 14011 ^ _284635 : [(14012 ^ _284635) ^ [_785433] : [element(_785433, powerset(the_carrier(_785157))), 14016 ^ _284635 : [(14017 ^ _284635) ^ [] : [-(element(14015 ^ [_785157, _785433], powerset(powerset(the_carrier(_785157)))))], (14041 ^ _284635) ^ [] : [-(topstr_closure(_785157, _785433) = meet_of_subsets(the_carrier(_785157), 14015 ^ [_785157, _785433]))], (14019 ^ _284635) ^ [_785824] : [element(_785824, powerset(the_carrier(_785157))), 14022 ^ _284635 : [(14023 ^ _284635) ^ [] : [in(_785824, 14015 ^ [_785157, _785433]), 14026 ^ _284635 : [(14027 ^ _284635) ^ [] : [-(closed_subset(_785824, _785157))], (14029 ^ _284635) ^ [] : [-(subset(_785433, _785824))]]], (14031 ^ _284635) ^ [] : [-(in(_785824, 14015 ^ [_785157, _785433])), closed_subset(_785824, _785157), subset(_785433, _785824)]]]]]]], (14043 ^ _284635) ^ [_786560] : [relation(_786560), 14046 ^ _284635 : [(14047 ^ _284635) ^ [_786707] : [relation(_786707), subset(relation_rng(_786560), relation_dom(_786707)), -(relation_dom(relation_composition(_786560, _786707)) = relation_dom(_786560))]]], (14057 ^ _284635) ^ [_787033, _787035] : [element(_787033, powerset(powerset(_787035))), -(_787033 = empty_set), complements_of_subsets(_787035, _787033) = empty_set], (14067 ^ _284635) ^ [_787350, _787352] : [in(_787352, _787350), -(set_union2(singleton(_787352), _787350) = _787350)], (14073 ^ _284635) ^ [_787556] : [relation(_787556), 14076 ^ _284635 : [(14077 ^ _284635) ^ [_787703] : [relation(_787703), subset(relation_dom(_787556), relation_rng(_787703)), -(relation_rng(relation_composition(_787703, _787556)) = relation_rng(_787556))]]], (14087 ^ _284635) ^ [_788029, _788031] : [element(_788029, powerset(powerset(_788031))), -(_788029 = empty_set), -(subset_difference(_788031, cast_to_subset(_788031), union_of_subsets(_788031, _788029)) = meet_of_subsets(_788031, complements_of_subsets(_788031, _788029)))], (14097 ^ _284635) ^ [_788355] : [top_str(_788355), 14100 ^ _284635 : [(14101 ^ _284635) ^ [_788493] : [element(_788493, powerset(the_carrier(_788355))), -(subset(_788493, topstr_closure(_788355, _788493)))]]], (14107 ^ _284635) ^ [_788724, _788726] : [element(_788724, powerset(powerset(_788726))), -(_788724 = empty_set), -(union_of_subsets(_788726, complements_of_subsets(_788726, _788724)) = subset_difference(_788726, cast_to_subset(_788726), meet_of_subsets(_788726, _788724)))], (14117 ^ _284635) ^ [_789049, _789051] : [-(set_difference(_789051, set_difference(_789051, _789049)) = set_intersection2(_789051, _789049))], (14119 ^ _284635) ^ [_789153] : [relation(_789153), 14122 ^ _284635 : [(14123 ^ _284635) ^ [_789308] : [relation(_789308), 14126 ^ _284635 : [(14127 ^ _284635) ^ [_789459] : [relation(_789459), function(_789459), relation_isomorphism(_789153, _789308, _789459), -(relation_isomorphism(_789308, _789153, function_inverse(_789459)))]]]]], (14141 ^ _284635) ^ [_789852] : [-(set_difference(empty_set, _789852) = empty_set)], (14143 ^ _284635) ^ [_789976, _789978, _789980] : [-(element(_789980, _789976)), in(_789980, _789978), element(_789978, powerset(_789976))], (14153 ^ _284635) ^ [_790275] : [ordinal(_790275), -(connected(inclusion_relation(_790275)))], (14159 ^ _284635) ^ [_790499, _790501] : [-(disjoint(_790501, _790499)), -(in(14162 ^ [_790499, _790501], set_intersection2(_790501, _790499)))], (14166 ^ _284635) ^ [_790734, _790736] : [14167 ^ _284635 : [(14168 ^ _284635) ^ [_790807] : [in(_790807, set_intersection2(_790736, _790734))]], disjoint(_790736, _790734)], (14172 ^ _284635) ^ [_790959] : [14187 ^ _284635 : [(14188 ^ _284635) ^ [] : [empty_carrier(_790959)], (14190 ^ _284635) ^ [] : [-(lattice(_790959))], (14192 ^ _284635) ^ [] : [-(lower_bounded_semilattstr(_790959))], (14194 ^ _284635) ^ [] : [-(latt_str(_790959))], (14196 ^ _284635) ^ [] : [-(bottom_of_semilattstr(_790959) = join_of_latt_set(_790959, empty_set))]], -(empty_carrier(_790959)), lattice(_790959), complete_latt_str(_790959), latt_str(_790959)], (14198 ^ _284635) ^ [_791691] : [-(_791691 = empty_set), 14201 ^ _284635 : [(14202 ^ _284635) ^ [_791851] : [element(_791851, powerset(_791691)), 14205 ^ _284635 : [(14206 ^ _284635) ^ [_792005] : [element(_792005, _791691), -(in(_792005, _791851)), -(in(_792005, subset_complement(_791691, _791851)))]]]]], (14216 ^ _284635) ^ [_792323] : [topological_space(_792323), top_str(_792323), 14223 ^ _284635 : [(14224 ^ _284635) ^ [_792544] : [element(_792544, powerset(the_carrier(_792323))), -(open_subset(interior(_792323, _792544), _792323))]]], (14230 ^ _284635) ^ [_792763] : [top_str(_792763), 14233 ^ _284635 : [(14234 ^ _284635) ^ [_792927] : [element(_792927, powerset(the_carrier(_792763))), 14237 ^ _284635 : [(14238 ^ _284635) ^ [] : [closed_subset(_792927, _792763), -(topstr_closure(_792763, _792927) = _792927)], (14244 ^ _284635) ^ [] : [-(closed_subset(_792927, _792763)), topological_space(_792763), topstr_closure(_792763, _792927) = _792927]]]]], (14254 ^ _284635) ^ [_793490] : [relation(_793490), 14257 ^ _284635 : [(14258 ^ _284635) ^ [_793686] : [relation(_793686), 14261 ^ _284635 : [(14262 ^ _284635) ^ [_793878] : [relation(_793878), function(_793878), relation_isomorphism(_793490, _793686, _793878), 14273 ^ _284635 : [(14274 ^ _284635) ^ [] : [reflexive(_793490), -(reflexive(_793686))], (14280 ^ _284635) ^ [] : [transitive(_793490), -(transitive(_793686))], (14286 ^ _284635) ^ [] : [connected(_793490), -(connected(_793686))], (14292 ^ _284635) ^ [] : [antisymmetric(_793490), -(antisymmetric(_793686))], (14298 ^ _284635) ^ [] : [well_founded_relation(_793490), -(well_founded_relation(_793686))]]]]]]], (14304 ^ _284635) ^ [_795030] : [relation(_795030), function(_795030), one_to_one(_795030), 14315 ^ _284635 : [(14316 ^ _284635) ^ [_795417] : [relation(_795417), function(_795417), 14323 ^ _284635 : [(14354 ^ _284635) ^ [] : [-(_795417 = function_inverse(_795030)), relation_dom(_795417) = relation_rng(_795030), 14363 ^ _284635 : [(14364 ^ _284635) ^ [] : [-(in(14359 ^ [_795030, _795417], relation_rng(_795030)))], (14366 ^ _284635) ^ [] : [-(14360 ^ [_795030, _795417] = apply(_795417, 14359 ^ [_795030, _795417]))], (14368 ^ _284635) ^ [] : [in(14360 ^ [_795030, _795417], relation_dom(_795030)), 14359 ^ [_795030, _795417] = apply(_795030, 14360 ^ [_795030, _795417])]], 14373 ^ _284635 : [(14374 ^ _284635) ^ [] : [-(in(14360 ^ [_795030, _795417], relation_dom(_795030)))], (14376 ^ _284635) ^ [] : [-(14359 ^ [_795030, _795417] = apply(_795030, 14360 ^ [_795030, _795417]))], (14378 ^ _284635) ^ [] : [in(14359 ^ [_795030, _795417], relation_rng(_795030)), 14360 ^ [_795030, _795417] = apply(_795417, 14359 ^ [_795030, _795417])]]], (14324 ^ _284635) ^ [] : [_795417 = function_inverse(_795030), 14327 ^ _284635 : [(14328 ^ _284635) ^ [] : [-(relation_dom(_795417) = relation_rng(_795030))], (14330 ^ _284635) ^ [_795934, _795936] : [14337 ^ _284635 : [(14338 ^ _284635) ^ [] : [-(in(_795934, relation_dom(_795030)))], (14340 ^ _284635) ^ [] : [-(_795936 = apply(_795030, _795934))]], in(_795936, relation_rng(_795030)), _795934 = apply(_795417, _795936)], (14342 ^ _284635) ^ [_796308, _796310] : [14349 ^ _284635 : [(14350 ^ _284635) ^ [] : [-(in(_796310, relation_rng(_795030)))], (14352 ^ _284635) ^ [] : [-(_796308 = apply(_795417, _796310))]], in(_796308, relation_dom(_795030)), _796310 = apply(_795030, _796308)]]]]]]], (14386 ^ _284635) ^ [_797883, _797885, _797887] : [element(_797883, powerset(_797887)), in(_797885, subset_complement(_797887, _797883)), in(_797885, _797883)], (14396 ^ _284635) ^ [_798189] : [relation(_798189), 14399 ^ _284635 : [(14400 ^ _284635) ^ [_798345] : [relation(_798345), 14403 ^ _284635 : [(14404 ^ _284635) ^ [_798497] : [relation(_798497), function(_798497), -(well_ordering(_798345)), well_ordering(_798189), relation_isomorphism(_798189, _798345, _798497)]]]]], (14422 ^ _284635) ^ [_798988] : [relation(_798988), function(_798988), one_to_one(_798988), 14433 ^ _284635 : [(14434 ^ _284635) ^ [] : [-(relation_rng(_798988) = relation_dom(function_inverse(_798988)))], (14436 ^ _284635) ^ [] : [-(relation_dom(_798988) = relation_rng(function_inverse(_798988)))]]], (14438 ^ _284635) ^ [_799441] : [topological_space(_799441), top_str(_799441), 14445 ^ _284635 : [(14446 ^ _284635) ^ [_799708] : [top_str(_799708), 14449 ^ _284635 : [(14450 ^ _284635) ^ [_799888] : [element(_799888, powerset(the_carrier(_799441))), 14453 ^ _284635 : [(14454 ^ _284635) ^ [_800069] : [element(_800069, powerset(the_carrier(_799708))), 14457 ^ _284635 : [(14458 ^ _284635) ^ [] : [open_subset(_800069, _799708), -(interior(_799708, _800069) = _800069)], (14464 ^ _284635) ^ [] : [interior(_799441, _799888) = _799888, -(open_subset(_799888, _799441))]]]]]]]]], (14470 ^ _284635) ^ [_800593] : [relation(_800593), -(in(ordered_pair(14475 ^ [_800593], 14476 ^ [_800593]), _800593)), -(_800593 = empty_set)], (14482 ^ _284635) ^ [_801011, _801013] : [relation(_801011), function(_801011), 14497 ^ _284635 : [(14498 ^ _284635) ^ [] : [-(_801013 = apply(_801011, apply(function_inverse(_801011), _801013)))], (14500 ^ _284635) ^ [] : [-(_801013 = apply(relation_composition(function_inverse(_801011), _801011), _801013))]], one_to_one(_801011), in(_801013, relation_rng(_801011))], (14502 ^ _284635) ^ [_801581] : [-(empty_carrier(_801581)), topological_space(_801581), top_str(_801581), 14513 ^ _284635 : [(14514 ^ _284635) ^ [_801911] : [element(_801911, powerset(the_carrier(_801581))), 14517 ^ _284635 : [(14518 ^ _284635) ^ [_802073] : [element(_802073, the_carrier(_801581)), -(point_neighbourhood(_801911, _801581, _802073)), open_subset(_801911, _801581), in(_802073, _801911)]]]]], (14532 ^ _284635) ^ [_802513, _802515, _802517] : [in(_802517, _802515), element(_802515, powerset(_802513)), empty(_802513)], (14542 ^ _284635) ^ [_802823, _802825] : [element(_802823, powerset(_802825)), 14545 ^ _284635 : [(14546 ^ _284635) ^ [] : [proper_element(_802823, powerset(_802825)), _802823 = _802825], (14552 ^ _284635) ^ [] : [-(_802823 = _802825), -(proper_element(_802823, powerset(_802825)))]]], (14558 ^ _284635) ^ [_803281] : [-(empty_carrier(_803281)), one_sorted_str(_803281), 14565 ^ _284635 : [(14566 ^ _284635) ^ [_803512] : [element(_803512, powerset(powerset(the_carrier(_803281)))), is_a_cover_of_carrier(_803281, _803512), _803512 = empty_set]]], (14576 ^ _284635) ^ [_803819] : [relation(_803819), 14579 ^ _284635 : [(14580 ^ _284635) ^ [] : [well_founded_relation(_803819), -(is_well_founded_in(_803819, relation_field(_803819)))], (14586 ^ _284635) ^ [] : [is_well_founded_in(_803819, relation_field(_803819)), -(well_founded_relation(_803819))]]], (14592 ^ _284635) ^ [_804235] : [-(antisymmetric(inclusion_relation(_804235)))], (14594 ^ _284635) ^ [] : [-(relation_dom(empty_set) = empty_set)], (14596 ^ _284635) ^ [] : [-(relation_rng(empty_set) = empty_set)], (14598 ^ _284635) ^ [_804451, _804453] : [subset(_804453, _804451), proper_subset(_804451, _804453)], (14604 ^ _284635) ^ [_804646] : [relation(_804646), function(_804646), one_to_one(_804646), -(one_to_one(function_inverse(_804646)))], (14618 ^ _284635) ^ [_805032, _805034, _805036] : [-(disjoint(_805036, _805032)), subset(_805036, _805034), disjoint(_805034, _805032)], (14628 ^ _284635) ^ [_805327] : [relation(_805327), 14633 ^ _284635 : [(14634 ^ _284635) ^ [] : [relation_dom(_805327) = empty_set], (14636 ^ _284635) ^ [] : [relation_rng(_805327) = empty_set]], -(_805327 = empty_set)], (14640 ^ _284635) ^ [_805680] : [relation(_805680), 14643 ^ _284635 : [(14644 ^ _284635) ^ [] : [relation_dom(_805680) = empty_set, -(relation_rng(_805680) = empty_set)], (14650 ^ _284635) ^ [] : [relation_rng(_805680) = empty_set, -(relation_dom(_805680) = empty_set)]]], (14656 ^ _284635) ^ [_806163, _806165] : [set_difference(_806165, singleton(_806163)) = _806165, in(_806163, _806165)], (14662 ^ _284635) ^ [_806336, _806338] : [-(in(_806336, _806338)), -(set_difference(_806338, singleton(_806336)) = _806338)], (14668 ^ _284635) ^ [_806561, _806563] : [relation(_806561), function(_806561), 14675 ^ _284635 : [(14676 ^ _284635) ^ [_806828] : [relation(_806828), function(_806828), 14683 ^ _284635 : [(14684 ^ _284635) ^ [] : [_806561 = relation_dom_restriction(_806828, _806563), 14687 ^ _284635 : [(14688 ^ _284635) ^ [] : [-(relation_dom(_806561) = set_intersection2(relation_dom(_806828), _806563))], (14690 ^ _284635) ^ [_807282] : [in(_807282, relation_dom(_806561)), -(apply(_806561, _807282) = apply(_806828, _807282))]]], (14696 ^ _284635) ^ [] : [-(_806561 = relation_dom_restriction(_806828, _806563)), relation_dom(_806561) = set_intersection2(relation_dom(_806828), _806563), 14702 ^ _284635 : [(14703 ^ _284635) ^ [] : [-(in(14701 ^ [_806561, _806563, _806828], relation_dom(_806561)))], (14705 ^ _284635) ^ [] : [apply(_806561, 14701 ^ [_806561, _806563, _806828]) = apply(_806828, 14701 ^ [_806561, _806563, _806828])]]]]]]], (14709 ^ _284635) ^ [_807921] : [-(unordered_pair(_807921, _807921) = singleton(_807921))], (14711 ^ _284635) ^ [_808019] : [empty(_808019), -(_808019 = empty_set)], (14717 ^ _284635) ^ [_808249, _808251, _808253, _808255] : [function(_808249), quasi_total(_808249, _808255, _808253), relation_of2_as_subset(_808249, _808255, _808253), in(_808251, _808255), -(_808253 = empty_set), -(in(apply(_808249, _808251), relation_rng(_808249)))], (14739 ^ _284635) ^ [_808862] : [ordinal(_808862), -(well_founded_relation(inclusion_relation(_808862)))], (14745 ^ _284635) ^ [_809052] : [rel_str(_809052), 14748 ^ _284635 : [(14749 ^ _284635) ^ [_809193] : [element(_809193, the_carrier(_809052)), 14752 ^ _284635 : [(14753 ^ _284635) ^ [] : [-(relstr_set_smaller(_809052, empty_set, _809193))], (14755 ^ _284635) ^ [] : [-(relstr_element_smaller(_809052, empty_set, _809193))]]]]], (14757 ^ _284635) ^ [_809493, _809495] : [subset(singleton(_809495), singleton(_809493)), -(_809495 = _809493)], (14763 ^ _284635) ^ [_809725, _809727, _809729] : [relation(_809725), function(_809725), in(_809727, relation_dom(relation_dom_restriction(_809725, _809729))), -(apply(relation_dom_restriction(_809725, _809729), _809727) = apply(_809725, _809727))], (14777 ^ _284635) ^ [_810144] : [-(relation_dom(identity_relation(_810144)) = _810144)], (14779 ^ _284635) ^ [_810192] : [-(relation_rng(identity_relation(_810192)) = _810192)], (14781 ^ _284635) ^ [_810319, _810321, _810323] : [relation(_810319), function(_810319), in(_810321, _810323), -(apply(relation_dom_restriction(_810319, _810323), _810321) = apply(_810319, _810321))], (14795 ^ _284635) ^ [_810765, _810767, _810769, _810771] : [relation(_810765), 14798 ^ _284635 : [(14799 ^ _284635) ^ [] : [in(ordered_pair(_810771, _810769), relation_composition(identity_relation(_810767), _810765)), 14802 ^ _284635 : [(14803 ^ _284635) ^ [] : [-(in(_810771, _810767))], (14805 ^ _284635) ^ [] : [-(in(ordered_pair(_810771, _810769), _810765))]]], (14807 ^ _284635) ^ [] : [-(in(ordered_pair(_810771, _810769), relation_composition(identity_relation(_810767), _810765))), in(_810771, _810767), in(ordered_pair(_810771, _810769), _810765)]]], (14817 ^ _284635) ^ [_811458, _811460] : [in(_811460, _811458), empty(_811458)], (14823 ^ _284635) ^ [_811651] : [-(empty_carrier(_811651)), lattice(_811651), latt_str(_811651), 14834 ^ _284635 : [(14835 ^ _284635) ^ [_811982] : [element(_811982, the_carrier(_811651)), 14838 ^ _284635 : [(14839 ^ _284635) ^ [_812143] : [element(_812143, the_carrier(_811651)), 14842 ^ _284635 : [(14843 ^ _284635) ^ [] : [below_refl(_811651, _811982, _812143), -(related_reflexive(poset_of_lattice(_811651), cast_to_el_of_LattPOSet(_811651, _811982), cast_to_el_of_LattPOSet(_811651, _812143)))], (14849 ^ _284635) ^ [] : [related_reflexive(poset_of_lattice(_811651), cast_to_el_of_LattPOSet(_811651, _811982), cast_to_el_of_LattPOSet(_811651, _812143)), -(below_refl(_811651, _811982, _812143))]]]]]]], (14855 ^ _284635) ^ [_812676, _812678] : [-(pair_first(ordered_pair(_812678, _812676)) = _812678)], (14857 ^ _284635) ^ [_812727, _812729] : [-(pair_second(ordered_pair(_812729, _812727)) = _812727)], (14859 ^ _284635) ^ [_812843, _812845] : [in(_812845, _812843), 14863 ^ _284635 : [(14864 ^ _284635) ^ [] : [-(in(14862 ^ [_812843, _812845], _812843))], (14866 ^ _284635) ^ [_813134] : [in(_813134, _812843), in(_813134, 14862 ^ [_812843, _812845])]]], (14872 ^ _284635) ^ [_813360] : [ordinal(_813360), -(well_ordering(inclusion_relation(_813360)))], (14878 ^ _284635) ^ [_813549, _813551] : [-(subset(_813551, set_union2(_813551, _813549)))], (14880 ^ _284635) ^ [_813690, _813692] : [disjoint(_813692, _813690), -(set_difference(_813692, _813690) = _813692)], (14886 ^ _284635) ^ [_813858, _813860] : [set_difference(_813860, _813858) = _813860, -(disjoint(_813860, _813858))], (14892 ^ _284635) ^ [_814090, _814092, _814094] : [relation(_814090), 14895 ^ _284635 : [(14896 ^ _284635) ^ [] : [in(_814094, relation_dom(relation_dom_restriction(_814090, _814092))), 14899 ^ _284635 : [(14900 ^ _284635) ^ [] : [-(in(_814094, _814092))], (14902 ^ _284635) ^ [] : [-(in(_814094, relation_dom(_814090)))]]], (14904 ^ _284635) ^ [] : [-(in(_814094, relation_dom(relation_dom_restriction(_814090, _814092)))), in(_814094, _814092), in(_814094, relation_dom(_814090))]]], (14914 ^ _284635) ^ [_814749, _814751] : [relation(_814749), -(subset(relation_dom_restriction(_814749, _814751), _814749))], (14920 ^ _284635) ^ [_814963, _814965] : [empty(_814965), -(_814965 = _814963), empty(_814963)], (14930 ^ _284635) ^ [_815274, _815276, _815278] : [relation(_815274), function(_815274), 14937 ^ _284635 : [(14938 ^ _284635) ^ [] : [in(ordered_pair(_815278, _815276), _815274), 14941 ^ _284635 : [(14942 ^ _284635) ^ [] : [-(in(_815278, relation_dom(_815274)))], (14944 ^ _284635) ^ [] : [-(_815276 = apply(_815274, _815278))]]], (14946 ^ _284635) ^ [] : [-(in(ordered_pair(_815278, _815276), _815274)), in(_815278, relation_dom(_815274)), _815276 = apply(_815274, _815278)]]], (14956 ^ _284635) ^ [_816015] : [relation(_816015), 14959 ^ _284635 : [(14960 ^ _284635) ^ [] : [well_orders(_816015, relation_field(_816015)), -(well_ordering(_816015))], (14966 ^ _284635) ^ [] : [well_ordering(_816015), -(well_orders(_816015, relation_field(_816015)))]]], (14972 ^ _284635) ^ [_816474, _816476, _816478] : [-(subset(set_union2(_816478, _816474), _816476)), subset(_816478, _816476), subset(_816474, _816476)], (14982 ^ _284635) ^ [_816803, _816805, _816807] : [singleton(_816807) = unordered_pair(_816805, _816803), -(_816807 = _816805)], (14988 ^ _284635) ^ [_817029, _817031] : [relation(_817029), -(relation_dom(relation_dom_restriction(_817029, _817031)) = set_intersection2(relation_dom(_817029), _817031))], (14994 ^ _284635) ^ [_817243] : [-(empty_carrier(_817243)), one_sorted_str(_817243), 15001 ^ _284635 : [(15002 ^ _284635) ^ [_817473] : [element(_817473, the_carrier(_817243)), -(apply_as_element(the_carrier(_817243), the_carrier(_817243), identity_on_carrier(_817243), _817473) = _817473)]]], (15008 ^ _284635) ^ [_817718, _817720] : [in(_817720, _817718), -(subset(_817720, union(_817718)))], (15014 ^ _284635) ^ [_817932, _817934] : [relation(_817932), -(relation_dom_restriction(_817932, _817934) = relation_composition(identity_relation(_817934), _817932))], (15020 ^ _284635) ^ [_818156, _818158] : [relation(_818156), -(subset(relation_rng(relation_dom_restriction(_818156, _818158)), relation_rng(_818156)))], (15026 ^ _284635) ^ [_818349] : [-(union(powerset(_818349)) = _818349)], (15028 ^ _284635) ^ [_818488, _818490, _818492, _818494] : [function(_818488), quasi_total(_818488, _818494, _818492), relation_of2_as_subset(_818488, _818494, _818492), subset(_818492, _818490), 15045 ^ _284635 : [(15046 ^ _284635) ^ [] : [-(_818492 = empty_set)], (15048 ^ _284635) ^ [] : [_818494 = empty_set]], 15049 ^ _284635 : [(15050 ^ _284635) ^ [] : [-(function(_818488))], (15052 ^ _284635) ^ [] : [-(quasi_total(_818488, _818494, _818490))], (15054 ^ _284635) ^ [] : [-(relation_of2_as_subset(_818488, _818494, _818490))]]], (15092 ^ _284635) ^ [_820754, _820756, _820758] : [singleton(_820758) = unordered_pair(_820756, _820754), -(_820756 = _820754)], (15057 ^ _284635) ^ [_819474] : [-(in(_819474, 15055 ^ [_819474]))], (15059 ^ _284635) ^ [_819586, _819588, _819590] : [-(in(_819586, 15055 ^ [_819590])), in(_819588, 15055 ^ [_819590]), subset(_819586, _819588)], (15069 ^ _284635) ^ [_819901, _819903] : [in(_819901, 15055 ^ [_819903]), 15073 ^ _284635 : [(15074 ^ _284635) ^ [] : [-(in(15072 ^ [_819901, _819903], 15055 ^ [_819903]))], (15076 ^ _284635) ^ [_820213] : [subset(_820213, _819901), -(in(_820213, 15072 ^ [_819901, _819903]))]]], (15082 ^ _284635) ^ [_820420, _820422] : [subset(_820420, 15055 ^ [_820422]), -(are_equipotent(_820420, 15055 ^ [_820422])), -(in(_820420, 15055 ^ [_820422]))]], input).
% 9.61/9.69  ncf('1',plain,[related(15097 ^ [], bottom_of_relstr(15097 ^ []), 15106 ^ [])],start(15110 ^ 0)).
% 9.61/9.69  ncf('1.1',plain,[-(related(15097 ^ [], bottom_of_relstr(15097 ^ []), 15106 ^ [])), 6178 : element(15106 ^ [], the_carrier(15097 ^ [])), 6178 : relstr_set_smaller(15097 ^ [], empty_set, 15106 ^ []), 6178 : bottom_of_relstr(15097 ^ []) = join_on_relstr(15097 ^ [], empty_set), 6172 : element(bottom_of_relstr(15097 ^ []), the_carrier(15097 ^ [])), 6172 : ex_sup_of_relstr_set(15097 ^ [], empty_set), 6164 : rel_str(15097 ^ [])],extension(6160 ^ 1,bind([[_497245, _497440, _497442, _497886], [15097 ^ [], bottom_of_relstr(15097 ^ []), empty_set, 15106 ^ []]]))).
% 9.61/9.69  ncf('1.1.1',plain,[-(element(15106 ^ [], the_carrier(15097 ^ [])))],extension(15108 ^ 8)).
% 9.61/9.69  ncf('1.1.2',plain,[-(relstr_set_smaller(15097 ^ [], empty_set, 15106 ^ [])), 14749 : element(15106 ^ [], the_carrier(15097 ^ [])), 14749 : rel_str(15097 ^ [])],extension(14745 ^ 8,bind([[_809052, _809193], [15097 ^ [], 15106 ^ []]]))).
% 9.61/9.69  ncf('1.1.2.1',plain,[-(element(15106 ^ [], the_carrier(15097 ^ [])))],lemmata('[1].x')).
% 9.61/9.69  ncf('1.1.2.2',plain,[-(rel_str(15097 ^ []))],extension(15105 ^ 9)).
% 9.61/9.69  ncf('1.1.3',plain,[-(bottom_of_relstr(15097 ^ []) = join_on_relstr(15097 ^ [], empty_set)), rel_str(15097 ^ [])],extension(2759 ^ 6,bind([[_376732], [15097 ^ []]]))).
% 9.61/9.69  ncf('1.1.3.1',plain,[-(rel_str(15097 ^ []))],extension(15105 ^ 7)).
% 9.61/9.69  ncf('1.1.4',plain,[-(element(bottom_of_relstr(15097 ^ []), the_carrier(15097 ^ []))), rel_str(15097 ^ [])],extension(6631 ^ 4,bind([[_510595], [15097 ^ []]]))).
% 9.61/9.69  ncf('1.1.4.1',plain,[-(rel_str(15097 ^ []))],extension(15105 ^ 5)).
% 9.61/9.69  ncf('1.1.5',plain,[-(ex_sup_of_relstr_set(15097 ^ [], empty_set)), -(empty_carrier(15097 ^ [])), antisymmetric_relstr(15097 ^ []), lower_bounded_relstr(15097 ^ []), rel_str(15097 ^ [])],extension(13828 ^ 4,bind([[_779188], [15097 ^ []]]))).
% 9.61/9.69  ncf('1.1.5.1',plain,[empty_carrier(15097 ^ [])],extension(15099 ^ 5)).
% 9.61/9.69  ncf('1.1.5.2',plain,[-(antisymmetric_relstr(15097 ^ []))],extension(15101 ^ 5)).
% 9.61/9.69  ncf('1.1.5.3',plain,[-(lower_bounded_relstr(15097 ^ []))],extension(15103 ^ 5)).
% 9.61/9.69  ncf('1.1.5.4',plain,[-(rel_str(15097 ^ []))],extension(15105 ^ 5)).
% 9.61/9.69  ncf('1.1.6',plain,[-(rel_str(15097 ^ []))],extension(15105 ^ 2)).
% 9.61/9.69  %-----------------------------------------------------
% 9.61/9.69  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------