%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU303+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n016.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 12:03:04 EDT 2023

% Result   : Theorem 101.18s 97.96s
% Output   : Proof 101.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU303+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n016.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 13:23:26 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 101.18/97.96  
% 101.18/97.96  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 101.18/97.96  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 101.18/97.96  %-----------------------------------------------------
% 101.18/97.96  ncf(matrix, plain, [(8135 ^ _605816) ^ [] : [-(relation(8133 ^ []))], (8137 ^ _605816) ^ [] : [-(function(8133 ^ []))], (8139 ^ _605816) ^ [] : [-(finite(relation_dom(8133 ^ [])))], (8141 ^ _605816) ^ [] : [finite(relation_rng(8133 ^ []))], (458 ^ _605816) ^ [_620467, _620469, _620471, _620473, _620475, _620477] : [-(unordered_triple(_620477, _620473, _620469) = unordered_triple(_620475, _620471, _620467)), _620477 = _620475, _620473 = _620471, _620469 = _620467], (472 ^ _605816) ^ [_620927, _620929] : [_620929 = _620927, -(set_meet(_620929) = set_meet(_620927))], (478 ^ _605816) ^ [_621173, _621175, _621177, _621179] : [-(relation_image(_621179, _621175) = relation_image(_621177, _621173)), _621179 = _621177, _621175 = _621173], (488 ^ _605816) ^ [_621532, _621534, _621536, _621538] : [-(relation_rng_restriction(_621538, _621534) = relation_rng_restriction(_621536, _621532)), _621538 = _621536, _621534 = _621532], (498 ^ _605816) ^ [_621891, _621893, _621895, _621897] : [-(cartesian_product2(_621897, _621893) = cartesian_product2(_621895, _621891)), _621897 = _621895, _621893 = _621891], (508 ^ _605816) ^ [_622250, _622252, _622254, _622256] : [-(fiber(_622256, _622252) = fiber(_622254, _622250)), _622256 = _622254, _622252 = _622250], (518 ^ _605816) ^ [_622637, _622639, _622641, _622643, _622645, _622647] : [-(relation_dom_as_subset(_622647, _622643, _622639) = relation_dom_as_subset(_622645, _622641, _622637)), _622647 = _622645, _622643 = _622641, _622639 = _622637], (532 ^ _605816) ^ [_623153, _623155, _623157, _623159, _623161, _623163] : [-(relation_rng_as_subset(_623163, _623159, _623155) = relation_rng_as_subset(_623161, _623157, _623153)), _623163 = _623161, _623159 = _623157, _623155 = _623153], (546 ^ _605816) ^ [_623613, _623615] : [_623615 = _623613, -(relation_inverse(_623615) = relation_inverse(_623613))], (552 ^ _605816) ^ [_623859, _623861, _623863, _623865] : [-(relation_restriction(_623865, _623861) = relation_restriction(_623863, _623859)), _623865 = _623863, _623861 = _623859], (562 ^ _605816) ^ [_624190, _624192] : [_624192 = _624190, -(succ(_624192) = succ(_624190))], (568 ^ _605816) ^ [_624436, _624438, _624440, _624442] : [-(relation_inverse_image(_624442, _624438) = relation_inverse_image(_624440, _624436)), _624442 = _624440, _624438 = _624436], (578 ^ _605816) ^ [_624795, _624797, _624799, _624801] : [-(union_of_subsets(_624801, _624797) = union_of_subsets(_624799, _624795)), _624801 = _624799, _624797 = _624795], (588 ^ _605816) ^ [_625154, _625156, _625158, _625160] : [-(complements_of_subsets(_625160, _625156) = complements_of_subsets(_625158, _625154)), _625160 = _625158, _625156 = _625154], (598 ^ _605816) ^ [_625541, _625543, _625545, _625547, _625549, _625551] : [-(subset_difference(_625551, _625547, _625543) = subset_difference(_625549, _625545, _625541)), _625551 = _625549, _625547 = _625545, _625543 = _625541], (612 ^ _605816) ^ [_626001, _626003] : [_626003 = _626001, -(cast_to_subset(_626003) = cast_to_subset(_626001))], (618 ^ _605816) ^ [_626247, _626249, _626251, _626253] : [-(meet_of_subsets(_626253, _626249) = meet_of_subsets(_626251, _626247)), _626253 = _626251, _626249 = _626247], (628 ^ _605816) ^ [_626606, _626608, _626610, _626612] : [-(subset_complement(_626612, _626608) = subset_complement(_626610, _626606)), _626612 = _626610, _626608 = _626606], (638 ^ _605816) ^ [_626937, _626939] : [_626939 = _626937, -(function_inverse(_626939) = function_inverse(_626937))], (644 ^ _605816) ^ [_627155, _627157] : [_627157 = _627155, -(pair_first(_627157) = pair_first(_627155))], (650 ^ _605816) ^ [_627373, _627375] : [_627375 = _627373, -(pair_second(_627375) = pair_second(_627373))], (656 ^ _605816) ^ [_627591, _627593] : [_627593 = _627591, -(inclusion_relation(_627593) = inclusion_relation(_627591))], (662 ^ _605816) ^ [_627837, _627839, _627841, _627843] : [-(set_difference(_627843, _627839) = set_difference(_627841, _627837)), _627843 = _627841, _627839 = _627837], (672 ^ _605816) ^ [_628196, _628198, _628200, _628202] : [-(ordered_pair(_628202, _628198) = ordered_pair(_628200, _628196)), _628202 = _628200, _628198 = _628196], (682 ^ _605816) ^ [_628555, _628557, _628559, _628561] : [-(apply(_628561, _628557) = apply(_628559, _628555)), _628561 = _628559, _628557 = _628555], (692 ^ _605816) ^ [_628886, _628888] : [_628888 = _628886, -(relation_field(_628888) = relation_field(_628886))], (698 ^ _605816) ^ [_629132, _629134, _629136, _629138] : [-(set_union2(_629138, _629134) = set_union2(_629136, _629132)), _629138 = _629136, _629134 = _629132], (708 ^ _605816) ^ [_629491, _629493, _629495, _629497] : [-(set_intersection2(_629497, _629493) = set_intersection2(_629495, _629491)), _629497 = _629495, _629493 = _629491], (718 ^ _605816) ^ [_629850, _629852, _629854, _629856] : [-(relation_composition(_629856, _629852) = relation_composition(_629854, _629850)), _629856 = _629854, _629852 = _629850], (728 ^ _605816) ^ [_630181, _630183] : [_630183 = _630181, -(identity_relation(_630183) = identity_relation(_630181))], (734 ^ _605816) ^ [_630427, _630429, _630431, _630433] : [-(relation_dom_restriction(_630433, _630429) = relation_dom_restriction(_630431, _630427)), _630433 = _630431, _630429 = _630427], (744 ^ _605816) ^ [_630758, _630760] : [_630760 = _630758, -(union(_630760) = union(_630758))], (750 ^ _605816) ^ [_630976, _630978] : [_630978 = _630976, -(powerset(_630978) = powerset(_630976))], (756 ^ _605816) ^ [_631194, _631196] : [_631196 = _631194, -(singleton(_631196) = singleton(_631194))], (762 ^ _605816) ^ [_631440, _631442, _631444, _631446] : [-(unordered_pair(_631446, _631442) = unordered_pair(_631444, _631440)), _631446 = _631444, _631442 = _631440], (772 ^ _605816) ^ [_631771, _631773] : [_631773 = _631771, -(relation_dom(_631773) = relation_dom(_631771))], (778 ^ _605816) ^ [_631969, _631971] : [_631971 = _631969, -(relation_rng(_631971) = relation_rng(_631969))], (2 ^ _605816) ^ [_605960] : [-(_605960 = _605960)], (4 ^ _605816) ^ [_606067, _606069] : [_606069 = _606067, -(_606067 = _606069)], (10 ^ _605816) ^ [_606271, _606273, _606275] : [-(_606275 = _606271), _606275 = _606273, _606273 = _606271], (20 ^ _605816) ^ [_606612, _606614, _606616, _606618] : [-(is_antisymmetric_in(_606616, _606612)), is_antisymmetric_in(_606618, _606614), _606618 = _606616, _606614 = _606612], (34 ^ _605816) ^ [_607056, _607058, _607060, _607062] : [-(is_connected_in(_607060, _607056)), is_connected_in(_607062, _607058), _607062 = _607060, _607058 = _607056], (48 ^ _605816) ^ [_607500, _607502, _607504, _607506] : [-(is_transitive_in(_607504, _607500)), is_transitive_in(_607506, _607502), _607506 = _607504, _607502 = _607500], (62 ^ _605816) ^ [_607944, _607946, _607948, _607950] : [-(is_reflexive_in(_607948, _607944)), is_reflexive_in(_607950, _607946), _607950 = _607948, _607946 = _607944], (76 ^ _605816) ^ [_608360, _608362] : [-(natural(_608360)), _608362 = _608360, natural(_608362)], (86 ^ _605816) ^ [_608655, _608657] : [-(epsilon_connected(_608655)), _608657 = _608655, epsilon_connected(_608657)], (96 ^ _605816) ^ [_608950, _608952] : [-(relation_empty_yielding(_608950)), _608952 = _608950, relation_empty_yielding(_608952)], (106 ^ _605816) ^ [_609301, _609303, _609305, _609307, _609309, _609311] : [-(relation_of2(_609309, _609305, _609301)), relation_of2(_609311, _609307, _609303), _609311 = _609309, _609307 = _609305, _609303 = _609301], (124 ^ _605816) ^ [_609882, _609884, _609886, _609888] : [-(equipotent(_609886, _609882)), equipotent(_609888, _609884), _609888 = _609886, _609884 = _609882], (138 ^ _605816) ^ [_610298, _610300] : [-(epsilon_transitive(_610298)), _610300 = _610298, epsilon_transitive(_610300)], (148 ^ _605816) ^ [_610621, _610623, _610625, _610627] : [-(ordinal_subset(_610625, _610621)), ordinal_subset(_610627, _610623), _610627 = _610625, _610623 = _610621], (162 ^ _605816) ^ [_611037, _611039] : [-(being_limit_ordinal(_611037)), _611039 = _611037, being_limit_ordinal(_611039)], (172 ^ _605816) ^ [_611332, _611334] : [-(reflexive(_611332)), _611334 = _611332, reflexive(_611334)], (182 ^ _605816) ^ [_611627, _611629] : [-(transitive(_611627)), _611629 = _611627, transitive(_611629)], (192 ^ _605816) ^ [_611922, _611924] : [-(connected(_611922)), _611924 = _611922, connected(_611924)], (202 ^ _605816) ^ [_612273, _612275, _612277, _612279, _612281, _612283] : [-(relation_isomorphism(_612281, _612277, _612273)), relation_isomorphism(_612283, _612279, _612275), _612283 = _612281, _612279 = _612277, _612275 = _612273], (220 ^ _605816) ^ [_612854, _612856, _612858, _612860] : [-(element(_612858, _612854)), element(_612860, _612856), _612860 = _612858, _612856 = _612854], (234 ^ _605816) ^ [_613298, _613300, _613302, _613304] : [-(is_well_founded_in(_613302, _613298)), is_well_founded_in(_613304, _613300), _613304 = _613302, _613300 = _613298], (248 ^ _605816) ^ [_613714, _613716] : [-(antisymmetric(_613714)), _613716 = _613714, antisymmetric(_613716)], (258 ^ _605816) ^ [_614037, _614039, _614041, _614043] : [-(proper_subset(_614041, _614037)), proper_subset(_614043, _614039), _614043 = _614041, _614039 = _614037], (272 ^ _605816) ^ [_614453, _614455] : [-(one_to_one(_614453)), _614455 = _614453, one_to_one(_614455)], (282 ^ _605816) ^ [_614748, _614750] : [-(well_founded_relation(_614748)), _614750 = _614748, well_founded_relation(_614750)], (292 ^ _605816) ^ [_615043, _615045] : [-(ordinal(_615043)), _615045 = _615043, ordinal(_615045)], (302 ^ _605816) ^ [_615366, _615368, _615370, _615372] : [-(disjoint(_615370, _615366)), disjoint(_615372, _615368), _615372 = _615370, _615368 = _615366], (316 ^ _605816) ^ [_615782, _615784] : [-(empty(_615782)), _615784 = _615782, empty(_615784)], (326 ^ _605816) ^ [_616105, _616107, _616109, _616111] : [-(well_orders(_616109, _616105)), well_orders(_616111, _616107), _616111 = _616109, _616107 = _616105], (340 ^ _605816) ^ [_616521, _616523] : [-(well_ordering(_616521)), _616523 = _616521, well_ordering(_616523)], (350 ^ _605816) ^ [_616872, _616874, _616876, _616878, _616880, _616882] : [-(quasi_total(_616880, _616876, _616872)), quasi_total(_616882, _616878, _616874), _616882 = _616880, _616878 = _616876, _616874 = _616872], (368 ^ _605816) ^ [_617481, _617483, _617485, _617487, _617489, _617491] : [-(relation_of2_as_subset(_617489, _617485, _617481)), relation_of2_as_subset(_617491, _617487, _617483), _617491 = _617489, _617487 = _617485, _617483 = _617481], (386 ^ _605816) ^ [_618062, _618064, _618066, _618068] : [-(subset(_618066, _618062)), subset(_618068, _618064), _618068 = _618066, _618064 = _618062], (400 ^ _605816) ^ [_618506, _618508, _618510, _618512] : [-(are_equipotent(_618510, _618506)), are_equipotent(_618512, _618508), _618512 = _618510, _618508 = _618506], (414 ^ _605816) ^ [_618950, _618952, _618954, _618956] : [-(in(_618954, _618950)), in(_618956, _618952), _618956 = _618954, _618952 = _618950], (428 ^ _605816) ^ [_619366, _619368] : [-(relation(_619366)), _619368 = _619366, relation(_619368)], (438 ^ _605816) ^ [_619661, _619663] : [-(function(_619661)), _619663 = _619661, function(_619663)], (448 ^ _605816) ^ [_619936, _619938] : [-(finite(_619936)), _619938 = _619936, finite(_619938)], (784 ^ _605816) ^ [_632420, _632422] : [in(_632422, _632420), in(_632420, _632422)], (790 ^ _605816) ^ [_632631, _632633] : [proper_subset(_632633, _632631), proper_subset(_632631, _632633)], (796 ^ _605816) ^ [_632828] : [ordinal(_632828), 799 ^ _605816 : [(800 ^ _605816) ^ [_632968] : [element(_632968, _632828), 803 ^ _605816 : [(804 ^ _605816) ^ [] : [-(epsilon_transitive(_632968))], (806 ^ _605816) ^ [] : [-(epsilon_connected(_632968))], (808 ^ _605816) ^ [] : [-(ordinal(_632968))]]]]], (810 ^ _605816) ^ [_633314] : [empty(_633314), -(finite(_633314))], (816 ^ _605816) ^ [_633500] : [empty(_633500), -(function(_633500))], (822 ^ _605816) ^ [_633686] : [ordinal(_633686), 825 ^ _605816 : [(826 ^ _605816) ^ [] : [-(epsilon_transitive(_633686))], (828 ^ _605816) ^ [] : [-(epsilon_connected(_633686))]]], (830 ^ _605816) ^ [_633943] : [empty(_633943), -(relation(_633943))], (836 ^ _605816) ^ [_634157, _634159, _634161] : [element(_634157, powerset(cartesian_product2(_634161, _634159))), -(relation(_634157))], (842 ^ _605816) ^ [_634367] : [849 ^ _605816 : [(850 ^ _605816) ^ [] : [-(epsilon_transitive(_634367))], (852 ^ _605816) ^ [] : [-(epsilon_connected(_634367))], (854 ^ _605816) ^ [] : [-(ordinal(_634367))], (856 ^ _605816) ^ [] : [-(natural(_634367))]], empty(_634367), ordinal(_634367)], (858 ^ _605816) ^ [_634847] : [finite(_634847), 861 ^ _605816 : [(862 ^ _605816) ^ [_634979] : [element(_634979, powerset(_634847)), -(finite(_634979))]]], (868 ^ _605816) ^ [_635184] : [879 ^ _605816 : [(880 ^ _605816) ^ [] : [-(relation(_635184))], (882 ^ _605816) ^ [] : [-(function(_635184))], (884 ^ _605816) ^ [] : [-(one_to_one(_635184))]], relation(_635184), empty(_635184), function(_635184)], (886 ^ _605816) ^ [_635677] : [-(ordinal(_635677)), epsilon_transitive(_635677), epsilon_connected(_635677)], (896 ^ _605816) ^ [_635946] : [element(_635946, omega), 899 ^ _605816 : [(900 ^ _605816) ^ [] : [-(epsilon_transitive(_635946))], (902 ^ _605816) ^ [] : [-(epsilon_connected(_635946))], (904 ^ _605816) ^ [] : [-(ordinal(_635946))], (906 ^ _605816) ^ [] : [-(natural(_635946))]]], (908 ^ _605816) ^ [_636345] : [empty(_636345), 911 ^ _605816 : [(912 ^ _605816) ^ [] : [-(epsilon_transitive(_636345))], (914 ^ _605816) ^ [] : [-(epsilon_connected(_636345))], (916 ^ _605816) ^ [] : [-(ordinal(_636345))]]], (918 ^ _605816) ^ [_636671, _636673] : [-(unordered_pair(_636673, _636671) = unordered_pair(_636671, _636673))], (920 ^ _605816) ^ [_636771, _636773] : [-(set_union2(_636773, _636771) = set_union2(_636771, _636773))], (922 ^ _605816) ^ [_636871, _636873] : [-(set_intersection2(_636873, _636871) = set_intersection2(_636871, _636873))], (924 ^ _605816) ^ [_636986, _636988] : [ordinal(_636988), ordinal(_636986), -(ordinal_subset(_636988, _636986)), -(ordinal_subset(_636986, _636988))], (938 ^ _605816) ^ [_637373, _637375] : [relation(_637373), 941 ^ _605816 : [(964 ^ _605816) ^ [] : [-(_637373 = identity_relation(_637375)), 977 ^ _605816 : [(978 ^ _605816) ^ [] : [-(in(965 ^ [_637373, _637375], _637375))], (980 ^ _605816) ^ [] : [-(965 ^ [_637373, _637375] = 966 ^ [_637373, _637375])], (982 ^ _605816) ^ [] : [in(ordered_pair(965 ^ [_637373, _637375], 966 ^ [_637373, _637375]), _637373)]], 969 ^ _605816 : [(970 ^ _605816) ^ [] : [-(in(ordered_pair(965 ^ [_637373, _637375], 966 ^ [_637373, _637375]), _637373))], (972 ^ _605816) ^ [] : [in(965 ^ [_637373, _637375], _637375), 965 ^ [_637373, _637375] = 966 ^ [_637373, _637375]]]], (942 ^ _605816) ^ [] : [_637373 = identity_relation(_637375), 945 ^ _605816 : [(946 ^ _605816) ^ [_637683, _637685] : [in(ordered_pair(_637685, _637683), _637373), 949 ^ _605816 : [(950 ^ _605816) ^ [] : [-(in(_637685, _637375))], (952 ^ _605816) ^ [] : [-(_637685 = _637683)]]], (954 ^ _605816) ^ [_637946, _637948] : [-(in(ordered_pair(_637948, _637946), _637373)), in(_637948, _637375), _637948 = _637946]]]]], (986 ^ _605816) ^ [_639054, _639056] : [_639056 = _639054, 989 ^ _605816 : [(990 ^ _605816) ^ [] : [-(subset(_639056, _639054))], (992 ^ _605816) ^ [] : [-(subset(_639054, _639056))]]], (994 ^ _605816) ^ [_639291, _639293] : [-(_639293 = _639291), subset(_639293, _639291), subset(_639291, _639293)], (1004 ^ _605816) ^ [_639578] : [relation(_639578), 1007 ^ _605816 : [(1008 ^ _605816) ^ [_639764, _639766] : [relation(_639764), 1011 ^ _605816 : [(1034 ^ _605816) ^ [] : [-(_639764 = relation_dom_restriction(_639578, _639766)), 1047 ^ _605816 : [(1048 ^ _605816) ^ [] : [-(in(1035 ^ [_639578, _639764, _639766], _639766))], (1050 ^ _605816) ^ [] : [-(in(ordered_pair(1035 ^ [_639578, _639764, _639766], 1036 ^ [_639578, _639764, _639766]), _639578))], (1052 ^ _605816) ^ [] : [in(ordered_pair(1035 ^ [_639578, _639764, _639766], 1036 ^ [_639578, _639764, _639766]), _639764)]], 1039 ^ _605816 : [(1040 ^ _605816) ^ [] : [-(in(ordered_pair(1035 ^ [_639578, _639764, _639766], 1036 ^ [_639578, _639764, _639766]), _639764))], (1042 ^ _605816) ^ [] : [in(1035 ^ [_639578, _639764, _639766], _639766), in(ordered_pair(1035 ^ [_639578, _639764, _639766], 1036 ^ [_639578, _639764, _639766]), _639578)]]], (1012 ^ _605816) ^ [] : [_639764 = relation_dom_restriction(_639578, _639766), 1015 ^ _605816 : [(1016 ^ _605816) ^ [_640089, _640091] : [in(ordered_pair(_640091, _640089), _639764), 1019 ^ _605816 : [(1020 ^ _605816) ^ [] : [-(in(_640091, _639766))], (1022 ^ _605816) ^ [] : [-(in(ordered_pair(_640091, _640089), _639578))]]], (1024 ^ _605816) ^ [_640368, _640370] : [-(in(ordered_pair(_640370, _640368), _639764)), in(_640370, _639766), in(ordered_pair(_640370, _640368), _639578)]]]]]]], (1056 ^ _605816) ^ [_641523] : [relation(_641523), function(_641523), 1063 ^ _605816 : [(1093 ^ _605816) ^ [_642949, _642951] : [-(_642949 = relation_image(_641523, _642951)), 1110 ^ _605816 : [(1111 ^ _605816) ^ [] : [-(in(1109 ^ [_641523, _642949, _642951], relation_dom(_641523)))], (1113 ^ _605816) ^ [] : [-(in(1109 ^ [_641523, _642949, _642951], _642951))], (1115 ^ _605816) ^ [] : [-(1094 ^ [_641523, _642949, _642951] = apply(_641523, 1109 ^ [_641523, _642949, _642951]))], (1117 ^ _605816) ^ [] : [in(1094 ^ [_641523, _642949, _642951], _642949)]], 1097 ^ _605816 : [(1098 ^ _605816) ^ [] : [-(in(1094 ^ [_641523, _642949, _642951], _642949))], (1100 ^ _605816) ^ [_643269] : [in(_643269, relation_dom(_641523)), in(_643269, _642951), 1094 ^ [_641523, _642949, _642951] = apply(_641523, _643269)]]], (1064 ^ _605816) ^ [_641821, _641823] : [_641821 = relation_image(_641523, _641823), 1067 ^ _605816 : [(1068 ^ _605816) ^ [_642021] : [in(_642021, _641821), 1072 ^ _605816 : [(1073 ^ _605816) ^ [] : [-(in(1071 ^ [_641523, _641821, _641823, _642021], relation_dom(_641523)))], (1075 ^ _605816) ^ [] : [-(in(1071 ^ [_641523, _641821, _641823, _642021], _641823))], (1077 ^ _605816) ^ [] : [-(_642021 = apply(_641523, 1071 ^ [_641523, _641821, _641823, _642021]))]]], (1079 ^ _605816) ^ [_642476] : [-(in(_642476, _641821)), 1080 ^ _605816 : [(1081 ^ _605816) ^ [_642589] : [in(_642589, relation_dom(_641523)), in(_642589, _641823), _642476 = apply(_641523, _642589)]]]]]]], (1121 ^ _605816) ^ [_644079, _644081] : [relation(_644079), 1124 ^ _605816 : [(1125 ^ _605816) ^ [_644250] : [relation(_644250), 1128 ^ _605816 : [(1151 ^ _605816) ^ [] : [-(_644250 = relation_rng_restriction(_644081, _644079)), 1164 ^ _605816 : [(1165 ^ _605816) ^ [] : [-(in(1153 ^ [_644079, _644081, _644250], _644081))], (1167 ^ _605816) ^ [] : [-(in(ordered_pair(1152 ^ [_644079, _644081, _644250], 1153 ^ [_644079, _644081, _644250]), _644079))], (1169 ^ _605816) ^ [] : [in(ordered_pair(1152 ^ [_644079, _644081, _644250], 1153 ^ [_644079, _644081, _644250]), _644250)]], 1156 ^ _605816 : [(1157 ^ _605816) ^ [] : [-(in(ordered_pair(1152 ^ [_644079, _644081, _644250], 1153 ^ [_644079, _644081, _644250]), _644250))], (1159 ^ _605816) ^ [] : [in(1153 ^ [_644079, _644081, _644250], _644081), in(ordered_pair(1152 ^ [_644079, _644081, _644250], 1153 ^ [_644079, _644081, _644250]), _644079)]]], (1129 ^ _605816) ^ [] : [_644250 = relation_rng_restriction(_644081, _644079), 1132 ^ _605816 : [(1133 ^ _605816) ^ [_644577, _644579] : [in(ordered_pair(_644579, _644577), _644250), 1136 ^ _605816 : [(1137 ^ _605816) ^ [] : [-(in(_644577, _644081))], (1139 ^ _605816) ^ [] : [-(in(ordered_pair(_644579, _644577), _644079))]]], (1141 ^ _605816) ^ [_644856, _644858] : [-(in(ordered_pair(_644858, _644856), _644250)), in(_644856, _644081), in(ordered_pair(_644858, _644856), _644079)]]]]]]], (1173 ^ _605816) ^ [_646002] : [relation(_646002), 1176 ^ _605816 : [(1177 ^ _605816) ^ [] : [antisymmetric(_646002), -(is_antisymmetric_in(_646002, relation_field(_646002)))], (1183 ^ _605816) ^ [] : [is_antisymmetric_in(_646002, relation_field(_646002)), -(antisymmetric(_646002))]]], (1189 ^ _605816) ^ [_646433] : [relation(_646433), function(_646433), 1196 ^ _605816 : [(1219 ^ _605816) ^ [_647472, _647474] : [-(_647472 = relation_inverse_image(_646433, _647474)), 1231 ^ _605816 : [(1232 ^ _605816) ^ [] : [-(in(1220 ^ [_646433, _647472, _647474], relation_dom(_646433)))], (1234 ^ _605816) ^ [] : [-(in(apply(_646433, 1220 ^ [_646433, _647472, _647474]), _647474))], (1236 ^ _605816) ^ [] : [in(1220 ^ [_646433, _647472, _647474], _647472)]], 1223 ^ _605816 : [(1224 ^ _605816) ^ [] : [-(in(1220 ^ [_646433, _647472, _647474], _647472))], (1226 ^ _605816) ^ [] : [in(1220 ^ [_646433, _647472, _647474], relation_dom(_646433)), in(apply(_646433, 1220 ^ [_646433, _647472, _647474]), _647474)]]], (1197 ^ _605816) ^ [_646720, _646722] : [_646720 = relation_inverse_image(_646433, _646722), 1200 ^ _605816 : [(1201 ^ _605816) ^ [_646909] : [in(_646909, _646720), 1204 ^ _605816 : [(1205 ^ _605816) ^ [] : [-(in(_646909, relation_dom(_646433)))], (1207 ^ _605816) ^ [] : [-(in(apply(_646433, _646909), _646722))]]], (1209 ^ _605816) ^ [_647178] : [-(in(_647178, _646720)), in(_647178, relation_dom(_646433)), in(apply(_646433, _647178), _646722)]]]]], (1240 ^ _605816) ^ [_648240] : [relation(_648240), 1243 ^ _605816 : [(1267 ^ _605816) ^ [_649353, _649355] : [-(_649353 = relation_image(_648240, _649355)), 1280 ^ _605816 : [(1281 ^ _605816) ^ [] : [-(in(ordered_pair(1279 ^ [_648240, _649353, _649355], 1268 ^ [_648240, _649353, _649355]), _648240))], (1283 ^ _605816) ^ [] : [-(in(1279 ^ [_648240, _649353, _649355], _649355))], (1285 ^ _605816) ^ [] : [in(1268 ^ [_648240, _649353, _649355], _649353)]], 1271 ^ _605816 : [(1272 ^ _605816) ^ [] : [-(in(1268 ^ [_648240, _649353, _649355], _649353))], (1274 ^ _605816) ^ [_649657] : [in(ordered_pair(_649657, 1268 ^ [_648240, _649353, _649355]), _648240), in(_649657, _649355)]]], (1244 ^ _605816) ^ [_648447, _648449] : [_648447 = relation_image(_648240, _648449), 1247 ^ _605816 : [(1248 ^ _605816) ^ [_648639] : [in(_648639, _648447), 1252 ^ _605816 : [(1253 ^ _605816) ^ [] : [-(in(ordered_pair(1251 ^ [_648240, _648447, _648449, _648639], _648639), _648240))], (1255 ^ _605816) ^ [] : [-(in(1251 ^ [_648240, _648447, _648449, _648639], _648449))]]], (1257 ^ _605816) ^ [_648993] : [-(in(_648993, _648447)), 1258 ^ _605816 : [(1259 ^ _605816) ^ [_649098] : [in(ordered_pair(_649098, _648993), _648240), in(_649098, _648449)]]]]]]], (1289 ^ _605816) ^ [_650259] : [relation(_650259), 1292 ^ _605816 : [(1316 ^ _605816) ^ [_651372, _651374] : [-(_651372 = relation_inverse_image(_650259, _651374)), 1329 ^ _605816 : [(1330 ^ _605816) ^ [] : [-(in(ordered_pair(1317 ^ [_650259, _651372, _651374], 1328 ^ [_650259, _651372, _651374]), _650259))], (1332 ^ _605816) ^ [] : [-(in(1328 ^ [_650259, _651372, _651374], _651374))], (1334 ^ _605816) ^ [] : [in(1317 ^ [_650259, _651372, _651374], _651372)]], 1320 ^ _605816 : [(1321 ^ _605816) ^ [] : [-(in(1317 ^ [_650259, _651372, _651374], _651372))], (1323 ^ _605816) ^ [_651676] : [in(ordered_pair(1317 ^ [_650259, _651372, _651374], _651676), _650259), in(_651676, _651374)]]], (1293 ^ _605816) ^ [_650466, _650468] : [_650466 = relation_inverse_image(_650259, _650468), 1296 ^ _605816 : [(1297 ^ _605816) ^ [_650658] : [in(_650658, _650466), 1301 ^ _605816 : [(1302 ^ _605816) ^ [] : [-(in(ordered_pair(_650658, 1300 ^ [_650259, _650466, _650468, _650658]), _650259))], (1304 ^ _605816) ^ [] : [-(in(1300 ^ [_650259, _650466, _650468, _650658], _650468))]]], (1306 ^ _605816) ^ [_651012] : [-(in(_651012, _650466)), 1307 ^ _605816 : [(1308 ^ _605816) ^ [_651117] : [in(ordered_pair(_651012, _651117), _650259), in(_651117, _650468)]]]]]]], (1338 ^ _605816) ^ [_652278] : [relation(_652278), 1341 ^ _605816 : [(1342 ^ _605816) ^ [] : [connected(_652278), -(is_connected_in(_652278, relation_field(_652278)))], (1348 ^ _605816) ^ [] : [is_connected_in(_652278, relation_field(_652278)), -(connected(_652278))]]], (1354 ^ _605816) ^ [_652709] : [relation(_652709), 1357 ^ _605816 : [(1358 ^ _605816) ^ [] : [transitive(_652709), -(is_transitive_in(_652709, relation_field(_652709)))], (1364 ^ _605816) ^ [] : [is_transitive_in(_652709, relation_field(_652709)), -(transitive(_652709))]]], (1398 ^ _605816) ^ [_654175, _654177, _654179, _654181] : [-(_654175 = unordered_triple(_654181, _654179, _654177)), 1402 ^ _605816 : [(1403 ^ _605816) ^ [] : [-(in(1399 ^ [_654175, _654177, _654179, _654181], _654175))], (1405 ^ _605816) ^ [] : [1399 ^ [_654175, _654177, _654179, _654181] = _654181], (1407 ^ _605816) ^ [] : [1399 ^ [_654175, _654177, _654179, _654181] = _654179], (1409 ^ _605816) ^ [] : [1399 ^ [_654175, _654177, _654179, _654181] = _654177]], 1410 ^ _605816 : [(1421 ^ _605816) ^ [] : [in(1399 ^ [_654175, _654177, _654179, _654181], _654175)], (1411 ^ _605816) ^ [] : [-(1399 ^ [_654175, _654177, _654179, _654181] = _654181), -(1399 ^ [_654175, _654177, _654179, _654181] = _654179), -(1399 ^ [_654175, _654177, _654179, _654181] = _654177)]]], (1370 ^ _605816) ^ [_653211, _653213, _653215, _653217] : [_653211 = unordered_triple(_653217, _653215, _653213), 1373 ^ _605816 : [(1388 ^ _605816) ^ [_653813] : [1389 ^ _605816 : [(1390 ^ _605816) ^ [] : [_653813 = _653217], (1392 ^ _605816) ^ [] : [_653813 = _653215], (1394 ^ _605816) ^ [] : [_653813 = _653213]], -(in(_653813, _653211))], (1374 ^ _605816) ^ [_653413] : [in(_653413, _653211), -(_653413 = _653217), -(_653413 = _653215), -(_653413 = _653213)]]], (1425 ^ _605816) ^ [_655192] : [finite(_655192), 1429 ^ _605816 : [(1430 ^ _605816) ^ [] : [-(relation(1428 ^ [_655192]))], (1432 ^ _605816) ^ [] : [-(function(1428 ^ [_655192]))], (1434 ^ _605816) ^ [] : [-(relation_rng(1428 ^ [_655192]) = _655192)], (1436 ^ _605816) ^ [] : [-(in(relation_dom(1428 ^ [_655192]), omega))]]], (1438 ^ _605816) ^ [_655653] : [-(finite(_655653)), 1439 ^ _605816 : [(1440 ^ _605816) ^ [_655756] : [relation(_655756), function(_655756), relation_rng(_655756) = _655653, in(relation_dom(_655756), omega)]]], (1470 ^ _605816) ^ [_656685] : [1474 ^ _605816 : [(1475 ^ _605816) ^ [] : [-(in(ordered_pair(1471 ^ [_656685], 1472 ^ [_656685]), _656685))], (1477 ^ _605816) ^ [] : [-(in(ordered_pair(1471 ^ [_656685], 1473 ^ [_656685]), _656685))], (1479 ^ _605816) ^ [] : [1472 ^ [_656685] = 1473 ^ [_656685]]], -(function(_656685))], (1456 ^ _605816) ^ [_656214] : [function(_656214), 1459 ^ _605816 : [(1460 ^ _605816) ^ [_656395, _656397, _656399] : [-(_656397 = _656395), in(ordered_pair(_656399, _656397), _656214), in(ordered_pair(_656399, _656395), _656214)]]], (1483 ^ _605816) ^ [_657329, _657331, _657333] : [relation_of2_as_subset(_657329, _657333, _657331), 1486 ^ _605816 : [(1487 ^ _605816) ^ [] : [1488 ^ _605816 : [(1489 ^ _605816) ^ [] : [-(_657331 = empty_set)], (1491 ^ _605816) ^ [] : [_657333 = empty_set]], 1492 ^ _605816 : [(1493 ^ _605816) ^ [] : [quasi_total(_657329, _657333, _657331), -(_657333 = relation_dom_as_subset(_657333, _657331, _657329))], (1499 ^ _605816) ^ [] : [_657333 = relation_dom_as_subset(_657333, _657331, _657329), -(quasi_total(_657329, _657333, _657331))]]], (1505 ^ _605816) ^ [] : [_657331 = empty_set, -(_657333 = empty_set), 1512 ^ _605816 : [(1513 ^ _605816) ^ [] : [quasi_total(_657329, _657333, _657331), -(_657329 = empty_set)], (1519 ^ _605816) ^ [] : [_657329 = empty_set, -(quasi_total(_657329, _657333, _657331))]]]]], (1525 ^ _605816) ^ [_658505] : [1526 ^ _605816 : [(1527 ^ _605816) ^ [_658627, _658629] : [_658505 = ordered_pair(_658629, _658627)]], 1528 ^ _605816 : [(1539 ^ _605816) ^ [_659090] : [1542 ^ _605816 : [(1543 ^ _605816) ^ [] : [-(_658505 = ordered_pair(1540 ^ [_658505, _659090], 1541 ^ [_658505, _659090]))], (1545 ^ _605816) ^ [] : [_659090 = 1540 ^ [_658505, _659090]]], -(_659090 = pair_first(_658505))], (1529 ^ _605816) ^ [_658736] : [_658736 = pair_first(_658505), 1532 ^ _605816 : [(1533 ^ _605816) ^ [_658901, _658903] : [_658505 = ordered_pair(_658903, _658901), -(_658736 = _658903)]]]]], (1549 ^ _605816) ^ [_659524] : [-(succ(_659524) = set_union2(_659524, singleton(_659524)))], (1563 ^ _605816) ^ [_660114] : [1565 ^ _605816 : [(1566 ^ _605816) ^ [] : [-(in(1564 ^ [_660114], _660114))], (1568 ^ _605816) ^ [_660351, _660353] : [1564 ^ [_660114] = ordered_pair(_660353, _660351)]], -(relation(_660114))], (1551 ^ _605816) ^ [_659653] : [relation(_659653), 1554 ^ _605816 : [(1555 ^ _605816) ^ [_659801] : [in(_659801, _659653), -(_659801 = ordered_pair(1558 ^ [_659653, _659801], 1559 ^ [_659653, _659801]))]]], (1572 ^ _605816) ^ [_660508] : [relation(_660508), 1575 ^ _605816 : [(1586 ^ _605816) ^ [_661007] : [1588 ^ _605816 : [(1589 ^ _605816) ^ [] : [-(in(1587 ^ [_660508, _661007], _661007))], (1591 ^ _605816) ^ [] : [in(ordered_pair(1587 ^ [_660508, _661007], 1587 ^ [_660508, _661007]), _660508)]], -(is_reflexive_in(_660508, _661007))], (1576 ^ _605816) ^ [_660682] : [is_reflexive_in(_660508, _660682), 1579 ^ _605816 : [(1580 ^ _605816) ^ [_660824] : [in(_660824, _660682), -(in(ordered_pair(_660824, _660824), _660508))]]]]], (1595 ^ _605816) ^ [_661430, _661432, _661434] : [relation_of2(_661430, _661434, _661432), -(subset(_661430, cartesian_product2(_661434, _661432)))], (1601 ^ _605816) ^ [_661606, _661608, _661610] : [subset(_661606, cartesian_product2(_661610, _661608)), -(relation_of2(_661606, _661610, _661608))], (1656 ^ _605816) ^ [_663559, _663561] : [_663561 = empty_set, 1659 ^ _605816 : [(1660 ^ _605816) ^ [] : [_663559 = set_meet(_663561), -(_663559 = empty_set)], (1666 ^ _605816) ^ [] : [_663559 = empty_set, -(_663559 = set_meet(_663561))]]], (1607 ^ _605816) ^ [_661852, _661854] : [-(_661854 = empty_set), 1610 ^ _605816 : [(1634 ^ _605816) ^ [] : [-(_661852 = set_meet(_661854)), 1638 ^ _605816 : [(1639 ^ _605816) ^ [] : [-(in(1635 ^ [_661852, _661854], _661852))], (1642 ^ _605816) ^ [] : [-(in(1640 ^ [_661852, _661854], _661854))], (1644 ^ _605816) ^ [] : [in(1635 ^ [_661852, _661854], 1640 ^ [_661852, _661854])]], 1645 ^ _605816 : [(1652 ^ _605816) ^ [] : [in(1635 ^ [_661852, _661854], _661852)], (1646 ^ _605816) ^ [_663254] : [in(_663254, _661854), -(in(1635 ^ [_661852, _661854], _663254))]]], (1611 ^ _605816) ^ [] : [_661852 = set_meet(_661854), 1614 ^ _605816 : [(1625 ^ _605816) ^ [_662480] : [1627 ^ _605816 : [(1628 ^ _605816) ^ [] : [-(in(1626 ^ [_661852, _661854, _662480], _661854))], (1630 ^ _605816) ^ [] : [in(_662480, 1626 ^ [_661852, _661854, _662480])]], -(in(_662480, _661852))], (1615 ^ _605816) ^ [_662150] : [in(_662150, _661852), 1618 ^ _605816 : [(1619 ^ _605816) ^ [_662295] : [in(_662295, _661854), -(in(_662150, _662295))]]]]]]], (1688 ^ _605816) ^ [_664577, _664579] : [-(_664577 = singleton(_664579)), 1692 ^ _605816 : [(1693 ^ _605816) ^ [] : [-(in(1689 ^ [_664577, _664579], _664577))], (1695 ^ _605816) ^ [] : [1689 ^ [_664577, _664579] = _664579]], 1696 ^ _605816 : [(1697 ^ _605816) ^ [] : [-(1689 ^ [_664577, _664579] = _664579)], (1699 ^ _605816) ^ [] : [in(1689 ^ [_664577, _664579], _664577)]]], (1672 ^ _605816) ^ [_664056, _664058] : [_664056 = singleton(_664058), 1675 ^ _605816 : [(1676 ^ _605816) ^ [_664226] : [in(_664226, _664056), -(_664226 = _664058)], (1682 ^ _605816) ^ [_664398] : [_664398 = _664058, -(in(_664398, _664056))]]], (1703 ^ _605816) ^ [_665099] : [relation(_665099), 1706 ^ _605816 : [(1729 ^ _605816) ^ [_666051, _666053] : [-(_666051 = fiber(_665099, _666053)), 1741 ^ _605816 : [(1742 ^ _605816) ^ [] : [1730 ^ [_665099, _666051, _666053] = _666053], (1744 ^ _605816) ^ [] : [-(in(ordered_pair(1730 ^ [_665099, _666051, _666053], _666053), _665099))], (1746 ^ _605816) ^ [] : [in(1730 ^ [_665099, _666051, _666053], _666051)]], 1733 ^ _605816 : [(1734 ^ _605816) ^ [] : [-(in(1730 ^ [_665099, _666051, _666053], _666051))], (1736 ^ _605816) ^ [] : [-(1730 ^ [_665099, _666051, _666053] = _666053), in(ordered_pair(1730 ^ [_665099, _666051, _666053], _666053), _665099)]]], (1707 ^ _605816) ^ [_665303, _665305] : [_665303 = fiber(_665099, _665305), 1710 ^ _605816 : [(1711 ^ _605816) ^ [_665492] : [in(_665492, _665303), 1714 ^ _605816 : [(1715 ^ _605816) ^ [] : [_665492 = _665305], (1717 ^ _605816) ^ [] : [-(in(ordered_pair(_665492, _665305), _665099))]]], (1719 ^ _605816) ^ [_665758] : [-(in(_665758, _665303)), -(_665758 = _665305), in(ordered_pair(_665758, _665305), _665099)]]]]], (1750 ^ _605816) ^ [_666827, _666829] : [relation(_666827), 1753 ^ _605816 : [(1780 ^ _605816) ^ [] : [-(_666827 = inclusion_relation(_666829)), relation_field(_666827) = _666829, 1787 ^ _605816 : [(1788 ^ _605816) ^ [] : [-(in(1785 ^ [_666827, _666829], _666829))], (1790 ^ _605816) ^ [] : [-(in(1786 ^ [_666827, _666829], _666829))], (1792 ^ _605816) ^ [] : [1793 ^ _605816 : [(1794 ^ _605816) ^ [] : [-(in(ordered_pair(1785 ^ [_666827, _666829], 1786 ^ [_666827, _666829]), _666827))], (1796 ^ _605816) ^ [] : [subset(1785 ^ [_666827, _666829], 1786 ^ [_666827, _666829])]], 1797 ^ _605816 : [(1798 ^ _605816) ^ [] : [-(subset(1785 ^ [_666827, _666829], 1786 ^ [_666827, _666829]))], (1800 ^ _605816) ^ [] : [in(ordered_pair(1785 ^ [_666827, _666829], 1786 ^ [_666827, _666829]), _666827)]]]]], (1754 ^ _605816) ^ [] : [_666827 = inclusion_relation(_666829), 1757 ^ _605816 : [(1758 ^ _605816) ^ [] : [-(relation_field(_666827) = _666829)], (1760 ^ _605816) ^ [_667190, _667192] : [in(_667192, _666829), in(_667190, _666829), 1767 ^ _605816 : [(1768 ^ _605816) ^ [] : [in(ordered_pair(_667192, _667190), _666827), -(subset(_667192, _667190))], (1774 ^ _605816) ^ [] : [subset(_667192, _667190), -(in(ordered_pair(_667192, _667190), _666827))]]]]]]], (1804 ^ _605816) ^ [_668642] : [_668642 = empty_set, 1807 ^ _605816 : [(1808 ^ _605816) ^ [_668755] : [in(_668755, _668642)]]], (1810 ^ _605816) ^ [_668821] : [-(in(1811 ^ [_668821], _668821)), -(_668821 = empty_set)], (1833 ^ _605816) ^ [_669633, _669635] : [-(_669633 = powerset(_669635)), 1837 ^ _605816 : [(1838 ^ _605816) ^ [] : [-(in(1834 ^ [_669633, _669635], _669633))], (1840 ^ _605816) ^ [] : [subset(1834 ^ [_669633, _669635], _669635)]], 1841 ^ _605816 : [(1842 ^ _605816) ^ [] : [-(subset(1834 ^ [_669633, _669635], _669635))], (1844 ^ _605816) ^ [] : [in(1834 ^ [_669633, _669635], _669633)]]], (1817 ^ _605816) ^ [_669112, _669114] : [_669112 = powerset(_669114), 1820 ^ _605816 : [(1821 ^ _605816) ^ [_669282] : [in(_669282, _669112), -(subset(_669282, _669114))], (1827 ^ _605816) ^ [_669454] : [subset(_669454, _669114), -(in(_669454, _669112))]]], (1848 ^ _605816) ^ [_670155] : [1849 ^ _605816 : [(1850 ^ _605816) ^ [_670277, _670279] : [_670155 = ordered_pair(_670279, _670277)]], 1851 ^ _605816 : [(1862 ^ _605816) ^ [_670740] : [1865 ^ _605816 : [(1866 ^ _605816) ^ [] : [-(_670155 = ordered_pair(1863 ^ [_670155, _670740], 1864 ^ [_670155, _670740]))], (1868 ^ _605816) ^ [] : [_670740 = 1864 ^ [_670155, _670740]]], -(_670740 = pair_second(_670155))], (1852 ^ _605816) ^ [_670386] : [_670386 = pair_second(_670155), 1855 ^ _605816 : [(1856 ^ _605816) ^ [_670551, _670553] : [_670155 = ordered_pair(_670553, _670551), -(_670386 = _670551)]]]]], (1882 ^ _605816) ^ [_671511] : [1884 ^ _605816 : [(1885 ^ _605816) ^ [] : [-(in(1883 ^ [_671511], _671511))], (1887 ^ _605816) ^ [] : [subset(1883 ^ [_671511], _671511)]], -(epsilon_transitive(_671511))], (1872 ^ _605816) ^ [_671211] : [epsilon_transitive(_671211), 1875 ^ _605816 : [(1876 ^ _605816) ^ [_671342] : [in(_671342, _671211), -(subset(_671342, _671211))]]], (1891 ^ _605816) ^ [_671836] : [relation(_671836), 1894 ^ _605816 : [(1895 ^ _605816) ^ [_671994] : [relation(_671994), 1898 ^ _605816 : [(1915 ^ _605816) ^ [] : [-(_671836 = _671994), 1920 ^ _605816 : [(1921 ^ _605816) ^ [] : [-(in(ordered_pair(1916 ^ [_671836, _671994], 1917 ^ [_671836, _671994]), _671836))], (1923 ^ _605816) ^ [] : [in(ordered_pair(1916 ^ [_671836, _671994], 1917 ^ [_671836, _671994]), _671994)]], 1924 ^ _605816 : [(1925 ^ _605816) ^ [] : [-(in(ordered_pair(1916 ^ [_671836, _671994], 1917 ^ [_671836, _671994]), _671994))], (1927 ^ _605816) ^ [] : [in(ordered_pair(1916 ^ [_671836, _671994], 1917 ^ [_671836, _671994]), _671836)]]], (1899 ^ _605816) ^ [] : [_671836 = _671994, 1902 ^ _605816 : [(1903 ^ _605816) ^ [_672299, _672301] : [in(ordered_pair(_672301, _672299), _671836), -(in(ordered_pair(_672301, _672299), _671994))], (1909 ^ _605816) ^ [_672489, _672491] : [in(ordered_pair(_672491, _672489), _671994), -(in(ordered_pair(_672491, _672489), _671836))]]]]]]], (1931 ^ _605816) ^ [_673326, _673328] : [-(empty(_673328)), 1934 ^ _605816 : [(1935 ^ _605816) ^ [] : [element(_673326, _673328), -(in(_673326, _673328))], (1941 ^ _605816) ^ [] : [in(_673326, _673328), -(element(_673326, _673328))]]], (1947 ^ _605816) ^ [_673739, _673741] : [empty(_673741), 1950 ^ _605816 : [(1951 ^ _605816) ^ [] : [element(_673739, _673741), -(empty(_673739))], (1957 ^ _605816) ^ [] : [empty(_673739), -(element(_673739, _673741))]]], (1985 ^ _605816) ^ [_674964, _674966, _674968] : [-(_674964 = unordered_pair(_674968, _674966)), 1989 ^ _605816 : [(1990 ^ _605816) ^ [] : [-(in(1986 ^ [_674964, _674966, _674968], _674964))], (1992 ^ _605816) ^ [] : [1986 ^ [_674964, _674966, _674968] = _674968], (1994 ^ _605816) ^ [] : [1986 ^ [_674964, _674966, _674968] = _674966]], 1995 ^ _605816 : [(2002 ^ _605816) ^ [] : [in(1986 ^ [_674964, _674966, _674968], _674964)], (1996 ^ _605816) ^ [] : [-(1986 ^ [_674964, _674966, _674968] = _674968), -(1986 ^ [_674964, _674966, _674968] = _674966)]]], (1963 ^ _605816) ^ [_674239, _674241, _674243] : [_674239 = unordered_pair(_674243, _674241), 1966 ^ _605816 : [(1977 ^ _605816) ^ [_674699] : [1978 ^ _605816 : [(1979 ^ _605816) ^ [] : [_674699 = _674243], (1981 ^ _605816) ^ [] : [_674699 = _674241]], -(in(_674699, _674239))], (1967 ^ _605816) ^ [_674421] : [in(_674421, _674239), -(_674421 = _674243), -(_674421 = _674241)]]], (2006 ^ _605816) ^ [_675701] : [relation(_675701), 2009 ^ _605816 : [(2027 ^ _605816) ^ [] : [-(well_founded_relation(_675701)), 2029 ^ _605816 : [(2030 ^ _605816) ^ [] : [-(subset(2028 ^ [_675701], relation_field(_675701)))], (2032 ^ _605816) ^ [] : [2028 ^ [_675701] = empty_set], (2034 ^ _605816) ^ [_676651] : [in(_676651, 2028 ^ [_675701]), disjoint(fiber(_675701, _676651), 2028 ^ [_675701])]]], (2010 ^ _605816) ^ [] : [well_founded_relation(_675701), 2013 ^ _605816 : [(2014 ^ _605816) ^ [_675968] : [subset(_675968, relation_field(_675701)), -(_675968 = empty_set), 2022 ^ _605816 : [(2023 ^ _605816) ^ [] : [-(in(2021 ^ [_675701, _675968], _675968))], (2025 ^ _605816) ^ [] : [-(disjoint(fiber(_675701, 2021 ^ [_675701, _675968]), _675968))]]]]]]], (2064 ^ _605816) ^ [_677715, _677717, _677719] : [-(_677715 = set_union2(_677719, _677717)), 2068 ^ _605816 : [(2069 ^ _605816) ^ [] : [-(in(2065 ^ [_677715, _677717, _677719], _677715))], (2071 ^ _605816) ^ [] : [in(2065 ^ [_677715, _677717, _677719], _677719)], (2073 ^ _605816) ^ [] : [in(2065 ^ [_677715, _677717, _677719], _677717)]], 2074 ^ _605816 : [(2081 ^ _605816) ^ [] : [in(2065 ^ [_677715, _677717, _677719], _677715)], (2075 ^ _605816) ^ [] : [-(in(2065 ^ [_677715, _677717, _677719], _677719)), -(in(2065 ^ [_677715, _677717, _677719], _677717))]]], (2042 ^ _605816) ^ [_676990, _676992, _676994] : [_676990 = set_union2(_676994, _676992), 2045 ^ _605816 : [(2056 ^ _605816) ^ [_677450] : [2057 ^ _605816 : [(2058 ^ _605816) ^ [] : [in(_677450, _676994)], (2060 ^ _605816) ^ [] : [in(_677450, _676992)]], -(in(_677450, _676990))], (2046 ^ _605816) ^ [_677172] : [in(_677172, _676990), -(in(_677172, _676994)), -(in(_677172, _676992))]]], (2115 ^ _605816) ^ [_679766, _679768, _679770] : [-(_679766 = cartesian_product2(_679770, _679768)), 2133 ^ _605816 : [(2134 ^ _605816) ^ [] : [-(in(2131 ^ [_679766, _679768, _679770], _679770))], (2136 ^ _605816) ^ [] : [-(in(2132 ^ [_679766, _679768, _679770], _679768))], (2138 ^ _605816) ^ [] : [-(2116 ^ [_679766, _679768, _679770] = ordered_pair(2131 ^ [_679766, _679768, _679770], 2132 ^ [_679766, _679768, _679770]))], (2140 ^ _605816) ^ [] : [in(2116 ^ [_679766, _679768, _679770], _679766)]], 2119 ^ _605816 : [(2120 ^ _605816) ^ [] : [-(in(2116 ^ [_679766, _679768, _679770], _679766))], (2122 ^ _605816) ^ [_680104, _680106] : [in(_680106, _679770), in(_680104, _679768), 2116 ^ [_679766, _679768, _679770] = ordered_pair(_680106, _680104)]]], (2085 ^ _605816) ^ [_678509, _678511, _678513] : [_678509 = cartesian_product2(_678513, _678511), 2088 ^ _605816 : [(2089 ^ _605816) ^ [_678710] : [in(_678710, _678509), 2094 ^ _605816 : [(2095 ^ _605816) ^ [] : [-(in(2092 ^ [_678509, _678511, _678513, _678710], _678513))], (2097 ^ _605816) ^ [] : [-(in(2093 ^ [_678509, _678511, _678513, _678710], _678511))], (2099 ^ _605816) ^ [] : [-(_678710 = ordered_pair(2092 ^ [_678509, _678511, _678513, _678710], 2093 ^ [_678509, _678511, _678513, _678710]))]]], (2101 ^ _605816) ^ [_679270] : [-(in(_679270, _678509)), 2102 ^ _605816 : [(2103 ^ _605816) ^ [_679400, _679402] : [in(_679402, _678513), in(_679400, _678511), _679270 = ordered_pair(_679402, _679400)]]]]], (2166 ^ _605816) ^ [_681667] : [2169 ^ _605816 : [(2170 ^ _605816) ^ [] : [-(in(2167 ^ [_681667], _681667))], (2172 ^ _605816) ^ [] : [-(in(2168 ^ [_681667], _681667))], (2174 ^ _605816) ^ [] : [in(2167 ^ [_681667], 2168 ^ [_681667])], (2176 ^ _605816) ^ [] : [2167 ^ [_681667] = 2168 ^ [_681667]], (2178 ^ _605816) ^ [] : [in(2168 ^ [_681667], 2167 ^ [_681667])]], -(epsilon_connected(_681667))], (2144 ^ _605816) ^ [_681029] : [epsilon_connected(_681029), 2147 ^ _605816 : [(2148 ^ _605816) ^ [_681205, _681207] : [in(_681207, _681029), in(_681205, _681029), -(in(_681207, _681205)), -(_681207 = _681205), -(in(_681205, _681207))]]], (2182 ^ _605816) ^ [_682373] : [relation(_682373), 2185 ^ _605816 : [(2186 ^ _605816) ^ [_682531] : [relation(_682531), 2189 ^ _605816 : [(2200 ^ _605816) ^ [] : [2203 ^ _605816 : [(2204 ^ _605816) ^ [] : [-(in(ordered_pair(2201 ^ [_682373, _682531], 2202 ^ [_682373, _682531]), _682373))], (2206 ^ _605816) ^ [] : [in(ordered_pair(2201 ^ [_682373, _682531], 2202 ^ [_682373, _682531]), _682531)]], -(subset(_682373, _682531))], (2190 ^ _605816) ^ [] : [subset(_682373, _682531), 2193 ^ _605816 : [(2194 ^ _605816) ^ [_682807, _682809] : [in(ordered_pair(_682809, _682807), _682373), -(in(ordered_pair(_682809, _682807), _682531))]]]]]]], (2220 ^ _605816) ^ [_683770, _683772] : [2222 ^ _605816 : [(2223 ^ _605816) ^ [] : [-(in(2221 ^ [_683770, _683772], _683772))], (2225 ^ _605816) ^ [] : [in(2221 ^ [_683770, _683772], _683770)]], -(subset(_683772, _683770))], (2210 ^ _605816) ^ [_683456, _683458] : [subset(_683458, _683456), 2213 ^ _605816 : [(2214 ^ _605816) ^ [_683593] : [in(_683593, _683458), -(in(_683593, _683456))]]], (2229 ^ _605816) ^ [_684113] : [relation(_684113), 2232 ^ _605816 : [(2250 ^ _605816) ^ [_684916] : [-(is_well_founded_in(_684113, _684916)), 2252 ^ _605816 : [(2253 ^ _605816) ^ [] : [-(subset(2251 ^ [_684113, _684916], _684916))], (2255 ^ _605816) ^ [] : [2251 ^ [_684113, _684916] = empty_set], (2257 ^ _605816) ^ [_685258] : [in(_685258, 2251 ^ [_684113, _684916]), disjoint(fiber(_684113, _685258), 2251 ^ [_684113, _684916])]]], (2233 ^ _605816) ^ [_684310] : [is_well_founded_in(_684113, _684310), 2236 ^ _605816 : [(2237 ^ _605816) ^ [_684475] : [subset(_684475, _684310), -(_684475 = empty_set), 2245 ^ _605816 : [(2246 ^ _605816) ^ [] : [-(in(2244 ^ [_684113, _684310, _684475], _684475))], (2248 ^ _605816) ^ [] : [-(disjoint(fiber(_684113, 2244 ^ [_684113, _684310, _684475]), _684475))]]]]]]], (2287 ^ _605816) ^ [_686341, _686343, _686345] : [-(_686341 = set_intersection2(_686345, _686343)), 2299 ^ _605816 : [(2300 ^ _605816) ^ [] : [-(in(2288 ^ [_686341, _686343, _686345], _686345))], (2302 ^ _605816) ^ [] : [-(in(2288 ^ [_686341, _686343, _686345], _686343))], (2304 ^ _605816) ^ [] : [in(2288 ^ [_686341, _686343, _686345], _686341)]], 2291 ^ _605816 : [(2292 ^ _605816) ^ [] : [-(in(2288 ^ [_686341, _686343, _686345], _686341))], (2294 ^ _605816) ^ [] : [in(2288 ^ [_686341, _686343, _686345], _686345), in(2288 ^ [_686341, _686343, _686345], _686343)]]], (2265 ^ _605816) ^ [_685616, _685618, _685620] : [_685616 = set_intersection2(_685620, _685618), 2268 ^ _605816 : [(2269 ^ _605816) ^ [_685798] : [in(_685798, _685616), 2272 ^ _605816 : [(2273 ^ _605816) ^ [] : [-(in(_685798, _685620))], (2275 ^ _605816) ^ [] : [-(in(_685798, _685618))]]], (2277 ^ _605816) ^ [_686057] : [-(in(_686057, _685616)), in(_686057, _685620), in(_686057, _685618)]]], (2308 ^ _605816) ^ [_687080] : [relation(_687080), function(_687080), 2315 ^ _605816 : [(2316 ^ _605816) ^ [_687372, _687374] : [in(_687374, relation_dom(_687080)), 2319 ^ _605816 : [(2320 ^ _605816) ^ [] : [_687372 = apply(_687080, _687374), -(in(ordered_pair(_687374, _687372), _687080))], (2326 ^ _605816) ^ [] : [in(ordered_pair(_687374, _687372), _687080), -(_687372 = apply(_687080, _687374))]]], (2332 ^ _605816) ^ [_687824, _687826] : [-(in(_687826, relation_dom(_687080))), 2335 ^ _605816 : [(2336 ^ _605816) ^ [] : [_687824 = apply(_687080, _687826), -(_687824 = empty_set)], (2342 ^ _605816) ^ [] : [_687824 = empty_set, -(_687824 = apply(_687080, _687826))]]]]], (2348 ^ _605816) ^ [_688342] : [ordinal(_688342), 2351 ^ _605816 : [(2352 ^ _605816) ^ [] : [-(epsilon_transitive(_688342))], (2354 ^ _605816) ^ [] : [-(epsilon_connected(_688342))]]], (2356 ^ _605816) ^ [_688565] : [-(ordinal(_688565)), epsilon_transitive(_688565), epsilon_connected(_688565)], (2366 ^ _605816) ^ [_688836] : [relation(_688836), 2369 ^ _605816 : [(2387 ^ _605816) ^ [_689648] : [-(_689648 = relation_dom(_688836)), 2391 ^ _605816 : [(2392 ^ _605816) ^ [] : [-(in(2388 ^ [_688836, _689648], _689648))], (2394 ^ _605816) ^ [_689911] : [in(ordered_pair(2388 ^ [_688836, _689648], _689911), _688836)]], 2396 ^ _605816 : [(2397 ^ _605816) ^ [] : [-(in(ordered_pair(2388 ^ [_688836, _689648], 2395 ^ [_688836, _689648]), _688836))], (2399 ^ _605816) ^ [] : [in(2388 ^ [_688836, _689648], _689648)]]], (2370 ^ _605816) ^ [_689017] : [_689017 = relation_dom(_688836), 2373 ^ _605816 : [(2374 ^ _605816) ^ [_689197] : [in(_689197, _689017), -(in(ordered_pair(_689197, 2377 ^ [_688836, _689017, _689197]), _688836))], (2381 ^ _605816) ^ [_689441] : [2382 ^ _605816 : [(2383 ^ _605816) ^ [_689520] : [in(ordered_pair(_689441, _689520), _688836)]], -(in(_689441, _689017))]]]]], (2403 ^ _605816) ^ [_690277] : [relation(_690277), 2406 ^ _605816 : [(2429 ^ _605816) ^ [_691145] : [2432 ^ _605816 : [(2433 ^ _605816) ^ [] : [-(in(2430 ^ [_690277, _691145], _691145))], (2435 ^ _605816) ^ [] : [-(in(2431 ^ [_690277, _691145], _691145))], (2437 ^ _605816) ^ [] : [-(in(ordered_pair(2430 ^ [_690277, _691145], 2431 ^ [_690277, _691145]), _690277))], (2439 ^ _605816) ^ [] : [-(in(ordered_pair(2431 ^ [_690277, _691145], 2430 ^ [_690277, _691145]), _690277))], (2441 ^ _605816) ^ [] : [2430 ^ [_690277, _691145] = 2431 ^ [_690277, _691145]]], -(is_antisymmetric_in(_690277, _691145))], (2407 ^ _605816) ^ [_690477] : [is_antisymmetric_in(_690277, _690477), 2410 ^ _605816 : [(2411 ^ _605816) ^ [_690659, _690661] : [-(_690661 = _690659), in(_690661, _690477), in(_690659, _690477), in(ordered_pair(_690661, _690659), _690277), in(ordered_pair(_690659, _690661), _690277)]]]]], (2445 ^ _605816) ^ [_691899] : [-(cast_to_subset(_691899) = _691899)], (2470 ^ _605816) ^ [_692882, _692884] : [-(_692882 = union(_692884)), 2483 ^ _605816 : [(2484 ^ _605816) ^ [] : [-(in(2471 ^ [_692882, _692884], 2482 ^ [_692882, _692884]))], (2486 ^ _605816) ^ [] : [-(in(2482 ^ [_692882, _692884], _692884))], (2488 ^ _605816) ^ [] : [in(2471 ^ [_692882, _692884], _692882)]], 2474 ^ _605816 : [(2475 ^ _605816) ^ [] : [-(in(2471 ^ [_692882, _692884], _692882))], (2477 ^ _605816) ^ [_693165] : [in(2471 ^ [_692882, _692884], _693165), in(_693165, _692884)]]], (2447 ^ _605816) ^ [_692037, _692039] : [_692037 = union(_692039), 2450 ^ _605816 : [(2451 ^ _605816) ^ [_692218] : [in(_692218, _692037), 2455 ^ _605816 : [(2456 ^ _605816) ^ [] : [-(in(_692218, 2454 ^ [_692037, _692039, _692218]))], (2458 ^ _605816) ^ [] : [-(in(2454 ^ [_692037, _692039, _692218], _692039))]]], (2460 ^ _605816) ^ [_692545] : [-(in(_692545, _692037)), 2461 ^ _605816 : [(2462 ^ _605816) ^ [_692643] : [in(_692545, _692643), in(_692643, _692039)]]]]], (2492 ^ _605816) ^ [_693715] : [relation(_693715), 2495 ^ _605816 : [(2496 ^ _605816) ^ [] : [well_ordering(_693715), 2499 ^ _605816 : [(2500 ^ _605816) ^ [] : [-(reflexive(_693715))], (2502 ^ _605816) ^ [] : [-(transitive(_693715))], (2504 ^ _605816) ^ [] : [-(antisymmetric(_693715))], (2506 ^ _605816) ^ [] : [-(connected(_693715))], (2508 ^ _605816) ^ [] : [-(well_founded_relation(_693715))]]], (2510 ^ _605816) ^ [] : [-(well_ordering(_693715)), reflexive(_693715), transitive(_693715), antisymmetric(_693715), connected(_693715), well_founded_relation(_693715)]]], (2532 ^ _605816) ^ [_694773, _694775] : [equipotent(_694775, _694773), 2536 ^ _605816 : [(2537 ^ _605816) ^ [] : [-(relation(2535 ^ [_694773, _694775]))], (2539 ^ _605816) ^ [] : [-(function(2535 ^ [_694773, _694775]))], (2541 ^ _605816) ^ [] : [-(one_to_one(2535 ^ [_694773, _694775]))], (2543 ^ _605816) ^ [] : [-(relation_dom(2535 ^ [_694773, _694775]) = _694775)], (2545 ^ _605816) ^ [] : [-(relation_rng(2535 ^ [_694773, _694775]) = _694773)]]], (2547 ^ _605816) ^ [_695344, _695346] : [-(equipotent(_695346, _695344)), 2548 ^ _605816 : [(2549 ^ _605816) ^ [_695455] : [relation(_695455), function(_695455), one_to_one(_695455), relation_dom(_695455) = _695346, relation_rng(_695455) = _695344]]], (2591 ^ _605816) ^ [_696782, _696784, _696786] : [-(_696782 = set_difference(_696786, _696784)), 2603 ^ _605816 : [(2604 ^ _605816) ^ [] : [-(in(2592 ^ [_696782, _696784, _696786], _696786))], (2606 ^ _605816) ^ [] : [in(2592 ^ [_696782, _696784, _696786], _696784)], (2608 ^ _605816) ^ [] : [in(2592 ^ [_696782, _696784, _696786], _696782)]], 2595 ^ _605816 : [(2596 ^ _605816) ^ [] : [-(in(2592 ^ [_696782, _696784, _696786], _696782))], (2598 ^ _605816) ^ [] : [in(2592 ^ [_696782, _696784, _696786], _696786), -(in(2592 ^ [_696782, _696784, _696786], _696784))]]], (2569 ^ _605816) ^ [_696051, _696053, _696055] : [_696051 = set_difference(_696055, _696053), 2572 ^ _605816 : [(2573 ^ _605816) ^ [_696235] : [in(_696235, _696051), 2576 ^ _605816 : [(2577 ^ _605816) ^ [] : [-(in(_696235, _696055))], (2579 ^ _605816) ^ [] : [in(_696235, _696053)]]], (2581 ^ _605816) ^ [_696495] : [-(in(_696495, _696051)), in(_696495, _696055), -(in(_696495, _696053))]]], (2612 ^ _605816) ^ [_697525] : [relation(_697525), function(_697525), 2619 ^ _605816 : [(2643 ^ _605816) ^ [_698679] : [-(_698679 = relation_rng(_697525)), 2656 ^ _605816 : [(2657 ^ _605816) ^ [] : [-(in(2655 ^ [_697525, _698679], relation_dom(_697525)))], (2659 ^ _605816) ^ [] : [-(2644 ^ [_697525, _698679] = apply(_697525, 2655 ^ [_697525, _698679]))], (2661 ^ _605816) ^ [] : [in(2644 ^ [_697525, _698679], _698679)]], 2647 ^ _605816 : [(2648 ^ _605816) ^ [] : [-(in(2644 ^ [_697525, _698679], _698679))], (2650 ^ _605816) ^ [_698974] : [in(_698974, relation_dom(_697525)), 2644 ^ [_697525, _698679] = apply(_697525, _698974)]]], (2620 ^ _605816) ^ [_697797] : [_697797 = relation_rng(_697525), 2623 ^ _605816 : [(2624 ^ _605816) ^ [_697985] : [in(_697985, _697797), 2628 ^ _605816 : [(2629 ^ _605816) ^ [] : [-(in(2627 ^ [_697525, _697797, _697985], relation_dom(_697525)))], (2631 ^ _605816) ^ [] : [-(_697985 = apply(_697525, 2627 ^ [_697525, _697797, _697985]))]]], (2633 ^ _605816) ^ [_698327] : [-(in(_698327, _697797)), 2634 ^ _605816 : [(2635 ^ _605816) ^ [_698430] : [in(_698430, relation_dom(_697525)), _698327 = apply(_697525, _698430)]]]]]]], (2665 ^ _605816) ^ [_699580] : [_699580 = omega, 2668 ^ _605816 : [(2669 ^ _605816) ^ [] : [-(in(empty_set, _699580))], (2671 ^ _605816) ^ [] : [-(being_limit_ordinal(_699580))], (2673 ^ _605816) ^ [] : [-(ordinal(_699580))], (2675 ^ _605816) ^ [_699929] : [ordinal(_699929), -(subset(_699580, _699929)), in(empty_set, _699929), being_limit_ordinal(_699929)]]], (2689 ^ _605816) ^ [_700278] : [-(_700278 = omega), in(empty_set, _700278), being_limit_ordinal(_700278), ordinal(_700278), 2703 ^ _605816 : [(2704 ^ _605816) ^ [] : [-(ordinal(2702 ^ [_700278]))], (2706 ^ _605816) ^ [] : [-(in(empty_set, 2702 ^ [_700278]))], (2708 ^ _605816) ^ [] : [-(being_limit_ordinal(2702 ^ [_700278]))], (2710 ^ _605816) ^ [] : [subset(_700278, 2702 ^ [_700278])]]], (2714 ^ _605816) ^ [_701018] : [relation(_701018), 2717 ^ _605816 : [(2735 ^ _605816) ^ [_701830] : [-(_701830 = relation_rng(_701018)), 2739 ^ _605816 : [(2740 ^ _605816) ^ [] : [-(in(2736 ^ [_701018, _701830], _701830))], (2742 ^ _605816) ^ [_702093] : [in(ordered_pair(_702093, 2736 ^ [_701018, _701830]), _701018)]], 2744 ^ _605816 : [(2745 ^ _605816) ^ [] : [-(in(ordered_pair(2743 ^ [_701018, _701830], 2736 ^ [_701018, _701830]), _701018))], (2747 ^ _605816) ^ [] : [in(2736 ^ [_701018, _701830], _701830)]]], (2718 ^ _605816) ^ [_701199] : [_701199 = relation_rng(_701018), 2721 ^ _605816 : [(2722 ^ _605816) ^ [_701379] : [in(_701379, _701199), -(in(ordered_pair(2725 ^ [_701018, _701199, _701379], _701379), _701018))], (2729 ^ _605816) ^ [_701623] : [2730 ^ _605816 : [(2731 ^ _605816) ^ [_701702] : [in(ordered_pair(_701702, _701623), _701018)]], -(in(_701623, _701199))]]]]], (2751 ^ _605816) ^ [_702473, _702475] : [element(_702473, powerset(_702475)), -(subset_complement(_702475, _702473) = set_difference(_702475, _702473))], (2757 ^ _605816) ^ [_702684, _702686] : [-(ordered_pair(_702686, _702684) = unordered_pair(unordered_pair(_702686, _702684), singleton(_702686)))], (2759 ^ _605816) ^ [_702790] : [relation(_702790), 2762 ^ _605816 : [(2763 ^ _605816) ^ [_702974] : [well_orders(_702790, _702974), 2766 ^ _605816 : [(2767 ^ _605816) ^ [] : [-(is_reflexive_in(_702790, _702974))], (2769 ^ _605816) ^ [] : [-(is_transitive_in(_702790, _702974))], (2771 ^ _605816) ^ [] : [-(is_antisymmetric_in(_702790, _702974))], (2773 ^ _605816) ^ [] : [-(is_connected_in(_702790, _702974))], (2775 ^ _605816) ^ [] : [-(is_well_founded_in(_702790, _702974))]]], (2777 ^ _605816) ^ [_703435] : [-(well_orders(_702790, _703435)), is_reflexive_in(_702790, _703435), is_transitive_in(_702790, _703435), is_antisymmetric_in(_702790, _703435), is_connected_in(_702790, _703435), is_well_founded_in(_702790, _703435)]]], (2799 ^ _605816) ^ [_704025] : [being_limit_ordinal(_704025), -(_704025 = union(_704025))], (2805 ^ _605816) ^ [_704183] : [_704183 = union(_704183), -(being_limit_ordinal(_704183))], (2811 ^ _605816) ^ [_704377] : [relation(_704377), -(relation_field(_704377) = set_union2(relation_dom(_704377), relation_rng(_704377)))], (2817 ^ _605816) ^ [_704583] : [relation(_704583), 2820 ^ _605816 : [(2843 ^ _605816) ^ [_705475] : [2846 ^ _605816 : [(2847 ^ _605816) ^ [] : [-(in(2844 ^ [_704583, _705475], _705475))], (2849 ^ _605816) ^ [] : [-(in(2845 ^ [_704583, _705475], _705475))], (2851 ^ _605816) ^ [] : [2844 ^ [_704583, _705475] = 2845 ^ [_704583, _705475]], (2853 ^ _605816) ^ [] : [in(ordered_pair(2844 ^ [_704583, _705475], 2845 ^ [_704583, _705475]), _704583)], (2855 ^ _605816) ^ [] : [in(ordered_pair(2845 ^ [_704583, _705475], 2844 ^ [_704583, _705475]), _704583)]], -(is_connected_in(_704583, _705475))], (2821 ^ _605816) ^ [_704791] : [is_connected_in(_704583, _704791), 2824 ^ _605816 : [(2825 ^ _605816) ^ [_704981, _704983] : [in(_704983, _704791), in(_704981, _704791), -(_704983 = _704981), -(in(ordered_pair(_704983, _704981), _704583)), -(in(ordered_pair(_704981, _704983), _704583))]]]]], (2859 ^ _605816) ^ [_706260] : [relation(_706260), 2862 ^ _605816 : [(2863 ^ _605816) ^ [_706379] : [-(relation_restriction(_706260, _706379) = set_intersection2(_706260, cartesian_product2(_706379, _706379)))]]], (2865 ^ _605816) ^ [_706488] : [relation(_706488), 2868 ^ _605816 : [(2869 ^ _605816) ^ [_706648] : [relation(_706648), 2872 ^ _605816 : [(2889 ^ _605816) ^ [] : [-(_706648 = relation_inverse(_706488)), 2894 ^ _605816 : [(2895 ^ _605816) ^ [] : [-(in(ordered_pair(2890 ^ [_706488, _706648], 2891 ^ [_706488, _706648]), _706648))], (2897 ^ _605816) ^ [] : [in(ordered_pair(2891 ^ [_706488, _706648], 2890 ^ [_706488, _706648]), _706488)]], 2898 ^ _605816 : [(2899 ^ _605816) ^ [] : [-(in(ordered_pair(2891 ^ [_706488, _706648], 2890 ^ [_706488, _706648]), _706488))], (2901 ^ _605816) ^ [] : [in(ordered_pair(2890 ^ [_706488, _706648], 2891 ^ [_706488, _706648]), _706648)]]], (2873 ^ _605816) ^ [] : [_706648 = relation_inverse(_706488), 2876 ^ _605816 : [(2877 ^ _605816) ^ [_706957, _706959] : [in(ordered_pair(_706959, _706957), _706648), -(in(ordered_pair(_706957, _706959), _706488))], (2883 ^ _605816) ^ [_707147, _707149] : [in(ordered_pair(_707147, _707149), _706488), -(in(ordered_pair(_707149, _707147), _706648))]]]]]]], (2905 ^ _605816) ^ [_707952] : [relation(_707952), 2908 ^ _605816 : [(2909 ^ _605816) ^ [_708173] : [relation(_708173), 2912 ^ _605816 : [(2913 ^ _605816) ^ [_708390] : [relation(_708390), function(_708390), 2920 ^ _605816 : [(2955 ^ _605816) ^ [] : [-(relation_isomorphism(_707952, _708173, _708390)), relation_dom(_708390) = relation_field(_707952), relation_rng(_708390) = relation_field(_708173), one_to_one(_708390), 2984 ^ _605816 : [(2985 ^ _605816) ^ [] : [-(in(2968 ^ [_707952, _708173, _708390], relation_field(_707952)))], (2987 ^ _605816) ^ [] : [-(in(2969 ^ [_707952, _708173, _708390], relation_field(_707952)))], (2989 ^ _605816) ^ [] : [-(in(ordered_pair(apply(_708390, 2968 ^ [_707952, _708173, _708390]), apply(_708390, 2969 ^ [_707952, _708173, _708390])), _708173))], (2991 ^ _605816) ^ [] : [in(ordered_pair(2968 ^ [_707952, _708173, _708390], 2969 ^ [_707952, _708173, _708390]), _707952)]], 2972 ^ _605816 : [(2973 ^ _605816) ^ [] : [-(in(ordered_pair(2968 ^ [_707952, _708173, _708390], 2969 ^ [_707952, _708173, _708390]), _707952))], (2975 ^ _605816) ^ [] : [in(2968 ^ [_707952, _708173, _708390], relation_field(_707952)), in(2969 ^ [_707952, _708173, _708390], relation_field(_707952)), in(ordered_pair(apply(_708390, 2968 ^ [_707952, _708173, _708390]), apply(_708390, 2969 ^ [_707952, _708173, _708390])), _708173)]]], (2921 ^ _605816) ^ [] : [relation_isomorphism(_707952, _708173, _708390), 2924 ^ _605816 : [(2925 ^ _605816) ^ [] : [-(relation_dom(_708390) = relation_field(_707952))], (2927 ^ _605816) ^ [] : [-(relation_rng(_708390) = relation_field(_708173))], (2929 ^ _605816) ^ [] : [-(one_to_one(_708390))], (2931 ^ _605816) ^ [_709056, _709058] : [in(ordered_pair(_709058, _709056), _707952), 2934 ^ _605816 : [(2935 ^ _605816) ^ [] : [-(in(_709058, relation_field(_707952)))], (2937 ^ _605816) ^ [] : [-(in(_709056, relation_field(_707952)))], (2939 ^ _605816) ^ [] : [-(in(ordered_pair(apply(_708390, _709058), apply(_708390, _709056)), _708173))]]], (2941 ^ _605816) ^ [_709435, _709437] : [-(in(ordered_pair(_709437, _709435), _707952)), in(_709437, relation_field(_707952)), in(_709435, relation_field(_707952)), in(ordered_pair(apply(_708390, _709437), apply(_708390, _709435)), _708173)]]]]]]]]], (2995 ^ _605816) ^ [_711262, _711264] : [disjoint(_711264, _711262), -(set_intersection2(_711264, _711262) = empty_set)], (3001 ^ _605816) ^ [_711430, _711432] : [set_intersection2(_711432, _711430) = empty_set, -(disjoint(_711432, _711430))], (3007 ^ _605816) ^ [_711634] : [relation(_711634), function(_711634), 3014 ^ _605816 : [(3033 ^ _605816) ^ [] : [3036 ^ _605816 : [(3037 ^ _605816) ^ [] : [-(in(3034 ^ [_711634], relation_dom(_711634)))], (3039 ^ _605816) ^ [] : [-(in(3035 ^ [_711634], relation_dom(_711634)))], (3041 ^ _605816) ^ [] : [-(apply(_711634, 3034 ^ [_711634]) = apply(_711634, 3035 ^ [_711634]))], (3043 ^ _605816) ^ [] : [3034 ^ [_711634] = 3035 ^ [_711634]]], -(one_to_one(_711634))], (3015 ^ _605816) ^ [] : [one_to_one(_711634), 3018 ^ _605816 : [(3019 ^ _605816) ^ [_711997, _711999] : [-(_711999 = _711997), in(_711999, relation_dom(_711634)), in(_711997, relation_dom(_711634)), apply(_711634, _711999) = apply(_711634, _711997)]]]]], (3047 ^ _605816) ^ [_712944] : [relation(_712944), 3050 ^ _605816 : [(3051 ^ _605816) ^ [_713129] : [relation(_713129), 3054 ^ _605816 : [(3055 ^ _605816) ^ [_713310] : [relation(_713310), 3058 ^ _605816 : [(3082 ^ _605816) ^ [] : [-(_713310 = relation_composition(_712944, _713129)), 3096 ^ _605816 : [(3097 ^ _605816) ^ [] : [-(in(ordered_pair(3083 ^ [_712944, _713129, _713310], 3095 ^ [_712944, _713129, _713310]), _712944))], (3099 ^ _605816) ^ [] : [-(in(ordered_pair(3095 ^ [_712944, _713129, _713310], 3084 ^ [_712944, _713129, _713310]), _713129))], (3101 ^ _605816) ^ [] : [in(ordered_pair(3083 ^ [_712944, _713129, _713310], 3084 ^ [_712944, _713129, _713310]), _713310)]], 3087 ^ _605816 : [(3088 ^ _605816) ^ [] : [-(in(ordered_pair(3083 ^ [_712944, _713129, _713310], 3084 ^ [_712944, _713129, _713310]), _713310))], (3090 ^ _605816) ^ [_714774] : [in(ordered_pair(3083 ^ [_712944, _713129, _713310], _714774), _712944), in(ordered_pair(_714774, 3084 ^ [_712944, _713129, _713310]), _713129)]]], (3059 ^ _605816) ^ [] : [_713310 = relation_composition(_712944, _713129), 3062 ^ _605816 : [(3063 ^ _605816) ^ [_713645, _713647] : [in(ordered_pair(_713647, _713645), _713310), 3067 ^ _605816 : [(3068 ^ _605816) ^ [] : [-(in(ordered_pair(_713647, 3066 ^ [_712944, _713129, _713310, _713645, _713647]), _712944))], (3070 ^ _605816) ^ [] : [-(in(ordered_pair(3066 ^ [_712944, _713129, _713310, _713645, _713647], _713645), _713129))]]], (3072 ^ _605816) ^ [_714030, _714032] : [-(in(ordered_pair(_714032, _714030), _713310)), 3073 ^ _605816 : [(3074 ^ _605816) ^ [_714143] : [in(ordered_pair(_714032, _714143), _712944), in(ordered_pair(_714143, _714030), _713129)]]]]]]]]]]], (3105 ^ _605816) ^ [_715446] : [relation(_715446), 3108 ^ _605816 : [(3135 ^ _605816) ^ [_716481] : [3139 ^ _605816 : [(3140 ^ _605816) ^ [] : [-(in(3136 ^ [_715446, _716481], _716481))], (3142 ^ _605816) ^ [] : [-(in(3137 ^ [_715446, _716481], _716481))], (3144 ^ _605816) ^ [] : [-(in(3138 ^ [_715446, _716481], _716481))], (3146 ^ _605816) ^ [] : [-(in(ordered_pair(3136 ^ [_715446, _716481], 3137 ^ [_715446, _716481]), _715446))], (3148 ^ _605816) ^ [] : [-(in(ordered_pair(3137 ^ [_715446, _716481], 3138 ^ [_715446, _716481]), _715446))], (3150 ^ _605816) ^ [] : [in(ordered_pair(3136 ^ [_715446, _716481], 3138 ^ [_715446, _716481]), _715446)]], -(is_transitive_in(_715446, _716481))], (3109 ^ _605816) ^ [_715660] : [is_transitive_in(_715446, _715660), 3112 ^ _605816 : [(3113 ^ _605816) ^ [_715870, _715872, _715874] : [-(in(ordered_pair(_715874, _715870), _715446)), in(_715874, _715660), in(_715872, _715660), in(_715870, _715660), in(ordered_pair(_715874, _715872), _715446), in(ordered_pair(_715872, _715870), _715446)]]]]], (3154 ^ _605816) ^ [_717505, _717507] : [element(_717505, powerset(powerset(_717507))), 3157 ^ _605816 : [(3158 ^ _605816) ^ [_717685] : [element(_717685, powerset(powerset(_717507))), 3161 ^ _605816 : [(3182 ^ _605816) ^ [] : [-(_717685 = complements_of_subsets(_717507, _717505)), 3184 ^ _605816 : [(3185 ^ _605816) ^ [] : [-(element(3183 ^ [_717505, _717507, _717685], powerset(_717507)))], (3187 ^ _605816) ^ [] : [3188 ^ _605816 : [(3189 ^ _605816) ^ [] : [-(in(3183 ^ [_717505, _717507, _717685], _717685))], (3191 ^ _605816) ^ [] : [in(subset_complement(_717507, 3183 ^ [_717505, _717507, _717685]), _717505)]], 3192 ^ _605816 : [(3193 ^ _605816) ^ [] : [-(in(subset_complement(_717507, 3183 ^ [_717505, _717507, _717685]), _717505))], (3195 ^ _605816) ^ [] : [in(3183 ^ [_717505, _717507, _717685], _717685)]]]]], (3162 ^ _605816) ^ [] : [_717685 = complements_of_subsets(_717507, _717505), 3165 ^ _605816 : [(3166 ^ _605816) ^ [_717973] : [element(_717973, powerset(_717507)), 3169 ^ _605816 : [(3170 ^ _605816) ^ [] : [in(_717973, _717685), -(in(subset_complement(_717507, _717973), _717505))], (3176 ^ _605816) ^ [] : [in(subset_complement(_717507, _717973), _717505), -(in(_717973, _717685))]]]]]]]]], (3199 ^ _605816) ^ [_719096, _719098] : [proper_subset(_719098, _719096), 3202 ^ _605816 : [(3203 ^ _605816) ^ [] : [-(subset(_719098, _719096))], (3205 ^ _605816) ^ [] : [_719098 = _719096]]], (3207 ^ _605816) ^ [_719334, _719336] : [-(proper_subset(_719336, _719334)), subset(_719336, _719334), -(_719336 = _719334)], (3217 ^ _605816) ^ [_719624] : [relation(_719624), function(_719624), one_to_one(_719624), -(function_inverse(_719624) = relation_inverse(_719624))], (3231 ^ _605816) ^ [_719988] : [relation(_719988), 3234 ^ _605816 : [(3235 ^ _605816) ^ [] : [reflexive(_719988), -(is_reflexive_in(_719988, relation_field(_719988)))], (3241 ^ _605816) ^ [] : [is_reflexive_in(_719988, relation_field(_719988)), -(reflexive(_719988))]]], (3247 ^ _605816) ^ [] : [true___, -(true___)], (3253 ^ _605816) ^ [] : [true___, -(true___)], (3259 ^ _605816) ^ [] : [true___, -(true___)], (3265 ^ _605816) ^ [] : [true___, -(true___)], (3271 ^ _605816) ^ [] : [true___, -(true___)], (3277 ^ _605816) ^ [] : [true___, -(true___)], (3283 ^ _605816) ^ [] : [true___, -(true___)], (3289 ^ _605816) ^ [] : [true___, -(true___)], (3295 ^ _605816) ^ [] : [true___, -(true___)], (3301 ^ _605816) ^ [_721475] : [-(relation(inclusion_relation(_721475)))], (3303 ^ _605816) ^ [] : [true___, -(true___)], (3309 ^ _605816) ^ [] : [true___, -(true___)], (3315 ^ _605816) ^ [_721807] : [3322 ^ _605816 : [(3323 ^ _605816) ^ [] : [-(relation(function_inverse(_721807)))], (3325 ^ _605816) ^ [] : [-(function(function_inverse(_721807)))]], relation(_721807), function(_721807)], (3327 ^ _605816) ^ [] : [true___, -(true___)], (3333 ^ _605816) ^ [] : [true___, -(true___)], (3339 ^ _605816) ^ [_722378] : [-(element(cast_to_subset(_722378), powerset(_722378)))], (3341 ^ _605816) ^ [] : [true___, -(true___)], (3347 ^ _605816) ^ [_722608, _722610] : [relation(_722610), -(relation(relation_restriction(_722610, _722608)))], (3353 ^ _605816) ^ [] : [true___, -(true___)], (3359 ^ _605816) ^ [] : [true___, -(true___)], (3365 ^ _605816) ^ [] : [true___, -(true___)], (3371 ^ _605816) ^ [_723177, _723179] : [element(_723177, powerset(_723179)), -(element(subset_complement(_723179, _723177), powerset(_723179)))], (3377 ^ _605816) ^ [] : [true___, -(true___)], (3383 ^ _605816) ^ [] : [true___, -(true___)], (3389 ^ _605816) ^ [_723625] : [relation(_723625), -(relation(relation_inverse(_723625)))], (3395 ^ _605816) ^ [_723843, _723845, _723847] : [relation_of2(_723843, _723847, _723845), -(element(relation_dom_as_subset(_723847, _723845, _723843), powerset(_723847)))], (3401 ^ _605816) ^ [] : [true___, -(true___)], (3407 ^ _605816) ^ [] : [true___, -(true___)], (3413 ^ _605816) ^ [] : [true___, -(true___)], (3419 ^ _605816) ^ [_724430, _724432] : [-(relation(relation_composition(_724432, _724430))), relation(_724432), relation(_724430)], (3429 ^ _605816) ^ [_724743, _724745, _724747] : [relation_of2(_724743, _724747, _724745), -(element(relation_rng_as_subset(_724747, _724745, _724743), powerset(_724745)))], (3435 ^ _605816) ^ [_724973, _724975] : [element(_724973, powerset(powerset(_724975))), -(element(union_of_subsets(_724975, _724973), powerset(_724975)))], (3441 ^ _605816) ^ [_725172] : [-(relation(identity_relation(_725172)))], (3443 ^ _605816) ^ [_725280, _725282] : [element(_725280, powerset(powerset(_725282))), -(element(meet_of_subsets(_725282, _725280), powerset(_725282)))], (3449 ^ _605816) ^ [_725522, _725524, _725526] : [-(element(subset_difference(_725526, _725524, _725522), powerset(_725526))), element(_725524, powerset(_725526)), element(_725522, powerset(_725526))], (3459 ^ _605816) ^ [_725851, _725853] : [relation(_725853), -(relation(relation_dom_restriction(_725853, _725851)))], (3465 ^ _605816) ^ [_726063, _726065] : [element(_726063, powerset(powerset(_726065))), -(element(complements_of_subsets(_726065, _726063), powerset(powerset(_726065))))], (3471 ^ _605816) ^ [_726295, _726297] : [relation(_726295), -(relation(relation_rng_restriction(_726297, _726295)))], (3477 ^ _605816) ^ [] : [true___, -(true___)], (3483 ^ _605816) ^ [] : [true___, -(true___)], (3489 ^ _605816) ^ [] : [true___, -(true___)], (3495 ^ _605816) ^ [_726878, _726880, _726882] : [relation_of2_as_subset(_726878, _726882, _726880), -(element(_726878, powerset(cartesian_product2(_726882, _726880))))], (3502 ^ _605816) ^ [_727133, _727135] : [-(relation_of2(3500 ^ [_727133, _727135], _727135, _727133))], (3505 ^ _605816) ^ [_727260] : [-(element(3503 ^ [_727260], _727260))], (3508 ^ _605816) ^ [_727399, _727401] : [-(relation_of2_as_subset(3506 ^ [_727399, _727401], _727401, _727399))], (3510 ^ _605816) ^ [_727516, _727518] : [finite(_727516), -(finite(set_intersection2(_727518, _727516)))], (3516 ^ _605816) ^ [_727728, _727730] : [3523 ^ _605816 : [(3524 ^ _605816) ^ [] : [-(empty(relation_composition(_727728, _727730)))], (3526 ^ _605816) ^ [] : [-(relation(relation_composition(_727728, _727730)))]], empty(_727730), relation(_727728)], (3528 ^ _605816) ^ [_728106, _728108] : [finite(_728108), -(finite(set_intersection2(_728108, _728106)))], (3534 ^ _605816) ^ [_728304] : [empty(_728304), 3537 ^ _605816 : [(3538 ^ _605816) ^ [] : [-(empty(relation_inverse(_728304)))], (3540 ^ _605816) ^ [] : [-(relation(relation_inverse(_728304)))]]], (3542 ^ _605816) ^ [_728583, _728585] : [finite(_728585), -(finite(set_difference(_728585, _728583)))], (3548 ^ _605816) ^ [] : [-(empty(empty_set))], (3550 ^ _605816) ^ [] : [-(relation(empty_set))], (3552 ^ _605816) ^ [] : [-(relation_empty_yielding(empty_set))], (3554 ^ _605816) ^ [_728958, _728960] : [-(finite(relation_image(_728960, _728958))), relation(_728960), function(_728960), finite(_728958)], (3568 ^ _605816) ^ [_729344, _729346] : [3575 ^ _605816 : [(3576 ^ _605816) ^ [] : [-(relation(relation_dom_restriction(_729346, _729344)))], (3578 ^ _605816) ^ [] : [-(relation_empty_yielding(relation_dom_restriction(_729346, _729344)))]], relation(_729346), relation_empty_yielding(_729346)], (3580 ^ _605816) ^ [_729712] : [empty(singleton(_729712))], (3582 ^ _605816) ^ [_729757] : [-(finite(singleton(_729757)))], (3584 ^ _605816) ^ [_729867, _729869] : [3599 ^ _605816 : [(3600 ^ _605816) ^ [] : [-(relation(relation_composition(_729869, _729867)))], (3602 ^ _605816) ^ [] : [-(function(relation_composition(_729869, _729867)))]], relation(_729869), function(_729869), relation(_729867), function(_729867)], (3604 ^ _605816) ^ [_730389] : [empty(succ(_730389))], (3606 ^ _605816) ^ [] : [-(epsilon_transitive(omega))], (3608 ^ _605816) ^ [] : [-(epsilon_connected(omega))], (3610 ^ _605816) ^ [] : [-(ordinal(omega))], (3612 ^ _605816) ^ [] : [empty(omega)], (3614 ^ _605816) ^ [_730714, _730716] : [-(relation(set_intersection2(_730716, _730714))), relation(_730716), relation(_730714)], (3624 ^ _605816) ^ [_730983] : [empty(powerset(_730983))], (3626 ^ _605816) ^ [] : [-(empty(empty_set))], (3628 ^ _605816) ^ [_731128, _731130] : [empty(ordered_pair(_731130, _731128))], (3630 ^ _605816) ^ [_731225] : [3637 ^ _605816 : [(3638 ^ _605816) ^ [] : [empty(succ(_731225))], (3640 ^ _605816) ^ [] : [-(epsilon_transitive(succ(_731225)))], (3642 ^ _605816) ^ [] : [-(epsilon_connected(succ(_731225)))], (3644 ^ _605816) ^ [] : [-(ordinal(succ(_731225)))], (3646 ^ _605816) ^ [] : [-(natural(succ(_731225)))]], ordinal(_731225), natural(_731225)], (3648 ^ _605816) ^ [_731801] : [-(relation(identity_relation(_731801)))], (3650 ^ _605816) ^ [_731846] : [-(function(identity_relation(_731846)))], (3652 ^ _605816) ^ [] : [-(relation(empty_set))], (3654 ^ _605816) ^ [] : [-(relation_empty_yielding(empty_set))], (3656 ^ _605816) ^ [] : [-(function(empty_set))], (3658 ^ _605816) ^ [] : [-(one_to_one(empty_set))], (3660 ^ _605816) ^ [] : [-(empty(empty_set))], (3662 ^ _605816) ^ [] : [-(epsilon_transitive(empty_set))], (3664 ^ _605816) ^ [] : [-(epsilon_connected(empty_set))], (3666 ^ _605816) ^ [] : [-(ordinal(empty_set))], (3668 ^ _605816) ^ [_732394, _732396] : [-(relation(set_union2(_732396, _732394))), relation(_732396), relation(_732394)], (3678 ^ _605816) ^ [_732663] : [empty(singleton(_732663))], (3680 ^ _605816) ^ [_732771, _732773] : [-(empty(_732773)), empty(set_union2(_732773, _732771))], (3686 ^ _605816) ^ [_732973] : [3697 ^ _605816 : [(3698 ^ _605816) ^ [] : [-(relation(relation_inverse(_732973)))], (3700 ^ _605816) ^ [] : [-(function(relation_inverse(_732973)))]], relation(_732973), function(_732973), one_to_one(_732973)], (3702 ^ _605816) ^ [_733404] : [ordinal(_733404), 3705 ^ _605816 : [(3706 ^ _605816) ^ [] : [empty(succ(_733404))], (3708 ^ _605816) ^ [] : [-(epsilon_transitive(succ(_733404)))], (3710 ^ _605816) ^ [] : [-(epsilon_connected(succ(_733404)))], (3712 ^ _605816) ^ [] : [-(ordinal(succ(_733404)))]]], (3714 ^ _605816) ^ [_733832, _733834] : [-(relation(set_difference(_733834, _733832))), relation(_733834), relation(_733832)], (3724 ^ _605816) ^ [_734115, _734117] : [empty(unordered_pair(_734117, _734115))], (3726 ^ _605816) ^ [_734226, _734228] : [-(empty(_734228)), empty(set_union2(_734226, _734228))], (3732 ^ _605816) ^ [_734442, _734444] : [3739 ^ _605816 : [(3740 ^ _605816) ^ [] : [-(relation(relation_dom_restriction(_734444, _734442)))], (3742 ^ _605816) ^ [] : [-(function(relation_dom_restriction(_734444, _734442)))]], relation(_734444), function(_734444)], (3744 ^ _605816) ^ [_734806] : [ordinal(_734806), 3747 ^ _605816 : [(3748 ^ _605816) ^ [] : [-(epsilon_transitive(union(_734806)))], (3750 ^ _605816) ^ [] : [-(epsilon_connected(union(_734806)))], (3752 ^ _605816) ^ [] : [-(ordinal(union(_734806)))]]], (3754 ^ _605816) ^ [] : [-(empty(empty_set))], (3756 ^ _605816) ^ [] : [-(relation(empty_set))], (3758 ^ _605816) ^ [_735267, _735269] : [empty(cartesian_product2(_735269, _735267)), -(empty(_735269)), -(empty(_735267))], (3768 ^ _605816) ^ [_735573, _735575] : [3775 ^ _605816 : [(3776 ^ _605816) ^ [] : [-(relation(relation_rng_restriction(_735575, _735573)))], (3778 ^ _605816) ^ [] : [-(function(relation_rng_restriction(_735575, _735573)))]], relation(_735573), function(_735573)], (3780 ^ _605816) ^ [_735937] : [empty(relation_dom(_735937)), -(empty(_735937)), relation(_735937)], (3790 ^ _605816) ^ [_736214] : [empty(relation_rng(_736214)), -(empty(_736214)), relation(_736214)], (3800 ^ _605816) ^ [_736491] : [empty(_736491), 3803 ^ _605816 : [(3804 ^ _605816) ^ [] : [-(empty(relation_dom(_736491)))], (3806 ^ _605816) ^ [] : [-(relation(relation_dom(_736491)))]]], (3808 ^ _605816) ^ [_736756] : [empty(_736756), 3811 ^ _605816 : [(3812 ^ _605816) ^ [] : [-(empty(relation_rng(_736756)))], (3814 ^ _605816) ^ [] : [-(relation(relation_rng(_736756)))]]], (3816 ^ _605816) ^ [_737035, _737037] : [-(finite(set_union2(_737037, _737035))), finite(_737037), finite(_737035)], (3826 ^ _605816) ^ [_737334, _737336] : [3833 ^ _605816 : [(3834 ^ _605816) ^ [] : [-(empty(relation_composition(_737336, _737334)))], (3836 ^ _605816) ^ [] : [-(relation(relation_composition(_737336, _737334)))]], empty(_737336), relation(_737334)], (3838 ^ _605816) ^ [_737697, _737699] : [-(set_union2(_737699, _737699) = _737699)], (3840 ^ _605816) ^ [_737794, _737796] : [-(set_intersection2(_737796, _737796) = _737796)], (3842 ^ _605816) ^ [_737906, _737908] : [element(_737906, powerset(_737908)), -(subset_complement(_737908, subset_complement(_737908, _737906)) = _737906)], (3848 ^ _605816) ^ [_738118] : [relation(_738118), -(relation_inverse(relation_inverse(_738118)) = _738118)], (3854 ^ _605816) ^ [_738328, _738330] : [element(_738328, powerset(powerset(_738330))), -(complements_of_subsets(_738330, complements_of_subsets(_738330, _738328)) = _738328)], (3860 ^ _605816) ^ [_738542, _738544] : [proper_subset(_738544, _738544)], (3862 ^ _605816) ^ [_738637] : [relation(_738637), 3865 ^ _605816 : [(3876 ^ _605816) ^ [] : [3878 ^ _605816 : [(3879 ^ _605816) ^ [] : [-(in(3877 ^ [_738637], relation_field(_738637)))], (3881 ^ _605816) ^ [] : [in(ordered_pair(3877 ^ [_738637], 3877 ^ [_738637]), _738637)]], -(reflexive(_738637))], (3866 ^ _605816) ^ [] : [reflexive(_738637), 3869 ^ _605816 : [(3870 ^ _605816) ^ [_738881] : [in(_738881, relation_field(_738637)), -(in(ordered_pair(_738881, _738881), _738637))]]]]], (3885 ^ _605816) ^ [_739346] : [singleton(_739346) = empty_set], (3887 ^ _605816) ^ [_739455, _739457] : [in(_739457, _739455), -(set_union2(singleton(_739457), _739455) = _739455)], (3893 ^ _605816) ^ [_739675, _739677] : [disjoint(singleton(_739677), _739675), in(_739677, _739675)], (3899 ^ _605816) ^ [_739888, _739890] : [-(in(_739890, _739888)), -(disjoint(singleton(_739890), _739888))], (3905 ^ _605816) ^ [_740105, _740107] : [relation(_740105), -(subset(relation_dom(relation_rng_restriction(_740107, _740105)), relation_dom(_740105)))], (3911 ^ _605816) ^ [_740313] : [relation(_740313), 3914 ^ _605816 : [(3929 ^ _605816) ^ [] : [3933 ^ _605816 : [(3934 ^ _605816) ^ [] : [-(in(ordered_pair(3930 ^ [_740313], 3931 ^ [_740313]), _740313))], (3936 ^ _605816) ^ [] : [-(in(ordered_pair(3931 ^ [_740313], 3932 ^ [_740313]), _740313))], (3938 ^ _605816) ^ [] : [in(ordered_pair(3930 ^ [_740313], 3932 ^ [_740313]), _740313)]], -(transitive(_740313))], (3915 ^ _605816) ^ [] : [transitive(_740313), 3918 ^ _605816 : [(3919 ^ _605816) ^ [_740605, _740607, _740609] : [-(in(ordered_pair(_740609, _740605), _740313)), in(ordered_pair(_740609, _740607), _740313), in(ordered_pair(_740607, _740605), _740313)]]]]], (3942 ^ _605816) ^ [_741512, _741514] : [subset(singleton(_741514), _741512), -(in(_741514, _741512))], (3948 ^ _605816) ^ [_741678, _741680] : [in(_741680, _741678), -(subset(singleton(_741680), _741678))], (3954 ^ _605816) ^ [_741894, _741896] : [relation(_741894), well_ordering(_741894), equipotent(_741896, relation_field(_741894)), 3966 ^ _605816 : [(3967 ^ _605816) ^ [] : [-(relation(3965 ^ [_741894, _741896]))], (3969 ^ _605816) ^ [] : [-(well_orders(3965 ^ [_741894, _741896], _741896))]]], (3971 ^ _605816) ^ [_742459, _742461] : [set_difference(_742461, _742459) = empty_set, -(subset(_742461, _742459))], (3977 ^ _605816) ^ [_742627, _742629] : [subset(_742629, _742627), -(set_difference(_742629, _742627) = empty_set)], (3983 ^ _605816) ^ [_742845, _742847] : [element(_742845, powerset(_742847)), 3986 ^ _605816 : [(3987 ^ _605816) ^ [_742986] : [in(_742986, _742845), -(in(_742986, _742847))]]], (3993 ^ _605816) ^ [_743197] : [relation(_743197), 3996 ^ _605816 : [(4011 ^ _605816) ^ [] : [4014 ^ _605816 : [(4015 ^ _605816) ^ [] : [-(in(ordered_pair(4012 ^ [_743197], 4013 ^ [_743197]), _743197))], (4017 ^ _605816) ^ [] : [-(in(ordered_pair(4013 ^ [_743197], 4012 ^ [_743197]), _743197))], (4019 ^ _605816) ^ [] : [4012 ^ [_743197] = 4013 ^ [_743197]]], -(antisymmetric(_743197))], (3997 ^ _605816) ^ [] : [antisymmetric(_743197), 4000 ^ _605816 : [(4001 ^ _605816) ^ [_743467, _743469] : [-(_743469 = _743467), in(ordered_pair(_743469, _743467), _743197), in(ordered_pair(_743467, _743469), _743197)]]]]], (4023 ^ _605816) ^ [_744247, _744249, _744251] : [subset(_744251, _744249), -(in(_744247, _744251)), -(subset(_744251, set_difference(_744249, singleton(_744247))))], (4033 ^ _605816) ^ [_744553] : [relation(_744553), 4036 ^ _605816 : [(4059 ^ _605816) ^ [] : [4062 ^ _605816 : [(4063 ^ _605816) ^ [] : [-(in(4060 ^ [_744553], relation_field(_744553)))], (4065 ^ _605816) ^ [] : [-(in(4061 ^ [_744553], relation_field(_744553)))], (4067 ^ _605816) ^ [] : [4060 ^ [_744553] = 4061 ^ [_744553]], (4069 ^ _605816) ^ [] : [in(ordered_pair(4060 ^ [_744553], 4061 ^ [_744553]), _744553)], (4071 ^ _605816) ^ [] : [in(ordered_pair(4061 ^ [_744553], 4060 ^ [_744553]), _744553)]], -(connected(_744553))], (4037 ^ _605816) ^ [] : [connected(_744553), 4040 ^ _605816 : [(4041 ^ _605816) ^ [_744847, _744849] : [in(_744849, relation_field(_744553)), in(_744847, relation_field(_744553)), -(_744849 = _744847), -(in(ordered_pair(_744849, _744847), _744553)), -(in(ordered_pair(_744847, _744849), _744553))]]]]], (4085 ^ _605816) ^ [_746299, _746301] : [4086 ^ _605816 : [(4087 ^ _605816) ^ [] : [_746301 = empty_set], (4089 ^ _605816) ^ [] : [_746301 = singleton(_746299)]], -(subset(_746301, singleton(_746299)))], (4075 ^ _605816) ^ [_746039, _746041] : [subset(_746041, singleton(_746039)), -(_746041 = empty_set), -(_746041 = singleton(_746039))], (4093 ^ _605816) ^ [_746593, _746595] : [in(_746595, _746593), -(subset(_746595, union(_746593)))], (4099 ^ _605816) ^ [_746864, _746866, _746868, _746870] : [in(ordered_pair(_746870, _746868), cartesian_product2(_746866, _746864)), 4102 ^ _605816 : [(4103 ^ _605816) ^ [] : [-(in(_746870, _746866))], (4105 ^ _605816) ^ [] : [-(in(_746868, _746864))]]], (4107 ^ _605816) ^ [_747129, _747131, _747133, _747135] : [-(in(ordered_pair(_747135, _747133), cartesian_product2(_747131, _747129))), in(_747135, _747131), in(_747133, _747129)], (4117 ^ _605816) ^ [_747462, _747464] : [4119 ^ _605816 : [(4120 ^ _605816) ^ [] : [-(in(4118 ^ [_747462, _747464], _747464))], (4122 ^ _605816) ^ [] : [in(4118 ^ [_747462, _747464], _747462)]], -(element(_747464, powerset(_747462)))], (4126 ^ _605816) ^ [_747835, _747837, _747839] : [relation(_747835), function(_747835), 4133 ^ _605816 : [(4134 ^ _605816) ^ [] : [in(_747837, relation_dom(relation_dom_restriction(_747835, _747839))), 4137 ^ _605816 : [(4138 ^ _605816) ^ [] : [-(in(_747837, relation_dom(_747835)))], (4140 ^ _605816) ^ [] : [-(in(_747837, _747839))]]], (4142 ^ _605816) ^ [] : [-(in(_747837, relation_dom(relation_dom_restriction(_747835, _747839)))), in(_747837, relation_dom(_747835)), in(_747837, _747839)]]], (4153 ^ _605816) ^ [] : [empty(4151 ^ [])], (4155 ^ _605816) ^ [] : [-(epsilon_transitive(4151 ^ []))], (4157 ^ _605816) ^ [] : [-(epsilon_connected(4151 ^ []))], (4159 ^ _605816) ^ [] : [-(ordinal(4151 ^ []))], (4161 ^ _605816) ^ [] : [-(natural(4151 ^ []))], (4164 ^ _605816) ^ [] : [empty(4162 ^ [])], (4166 ^ _605816) ^ [] : [-(finite(4162 ^ []))], (4169 ^ _605816) ^ [] : [-(relation(4167 ^ []))], (4171 ^ _605816) ^ [] : [-(function(4167 ^ []))], (4174 ^ _605816) ^ [_749280, _749282] : [-(relation_of2(4172 ^ [_749280, _749282], _749282, _749280))], (4176 ^ _605816) ^ [_749354, _749356] : [-(relation(4172 ^ [_749354, _749356]))], (4178 ^ _605816) ^ [_749426, _749428] : [-(function(4172 ^ [_749426, _749428]))], (4180 ^ _605816) ^ [_749478, _749480] : [-(quasi_total(4172 ^ [_749478, _749480], _749480, _749478))], (4183 ^ _605816) ^ [] : [-(epsilon_transitive(4181 ^ []))], (4185 ^ _605816) ^ [] : [-(epsilon_connected(4181 ^ []))], (4187 ^ _605816) ^ [] : [-(ordinal(4181 ^ []))], (4190 ^ _605816) ^ [] : [-(epsilon_transitive(4188 ^ []))], (4192 ^ _605816) ^ [] : [-(epsilon_connected(4188 ^ []))], (4194 ^ _605816) ^ [] : [-(ordinal(4188 ^ []))], (4196 ^ _605816) ^ [] : [-(being_limit_ordinal(4188 ^ []))], (4199 ^ _605816) ^ [] : [-(relation(4197 ^ []))], (4201 ^ _605816) ^ [] : [-(function(4197 ^ []))], (4203 ^ _605816) ^ [] : [-(one_to_one(4197 ^ []))], (4205 ^ _605816) ^ [] : [-(empty(4197 ^ []))], (4208 ^ _605816) ^ [] : [-(empty(4206 ^ []))], (4210 ^ _605816) ^ [] : [-(relation(4206 ^ []))], (4212 ^ _605816) ^ [_750483] : [-(empty(_750483)), 4216 ^ _605816 : [(4217 ^ _605816) ^ [] : [-(element(4215 ^ [_750483], powerset(_750483)))], (4219 ^ _605816) ^ [] : [empty(4215 ^ [_750483])]]], (4222 ^ _605816) ^ [] : [-(empty(4220 ^ []))], (4225 ^ _605816) ^ [_750995] : [-(element(4223 ^ [_750995], powerset(_750995)))], (4227 ^ _605816) ^ [_751066] : [-(empty(4223 ^ [_751066]))], (4229 ^ _605816) ^ [_751134] : [-(relation(4223 ^ [_751134]))], (4231 ^ _605816) ^ [_751202] : [-(function(4223 ^ [_751202]))], (4233 ^ _605816) ^ [_751270] : [-(one_to_one(4223 ^ [_751270]))], (4235 ^ _605816) ^ [_751338] : [-(epsilon_transitive(4223 ^ [_751338]))], (4237 ^ _605816) ^ [_751406] : [-(epsilon_connected(4223 ^ [_751406]))], (4239 ^ _605816) ^ [_751474] : [-(ordinal(4223 ^ [_751474]))], (4241 ^ _605816) ^ [_751542] : [-(natural(4223 ^ [_751542]))], (4243 ^ _605816) ^ [_751590] : [-(finite(4223 ^ [_751590]))], (4246 ^ _605816) ^ [] : [-(relation(4244 ^ []))], (4248 ^ _605816) ^ [] : [-(empty(4244 ^ []))], (4250 ^ _605816) ^ [] : [-(function(4244 ^ []))], (4253 ^ _605816) ^ [] : [-(relation(4251 ^ []))], (4255 ^ _605816) ^ [] : [-(function(4251 ^ []))], (4257 ^ _605816) ^ [] : [-(one_to_one(4251 ^ []))], (4259 ^ _605816) ^ [] : [-(empty(4251 ^ []))], (4261 ^ _605816) ^ [] : [-(epsilon_transitive(4251 ^ []))], (4263 ^ _605816) ^ [] : [-(epsilon_connected(4251 ^ []))], (4265 ^ _605816) ^ [] : [-(ordinal(4251 ^ []))], (4268 ^ _605816) ^ [_752434, _752436] : [-(relation_of2(4266 ^ [_752434, _752436], _752436, _752434))], (4270 ^ _605816) ^ [_752508, _752510] : [-(relation(4266 ^ [_752508, _752510]))], (4272 ^ _605816) ^ [_752560, _752562] : [-(function(4266 ^ [_752560, _752562]))], (4275 ^ _605816) ^ [] : [empty(4273 ^ [])], (4277 ^ _605816) ^ [] : [-(relation(4273 ^ []))], (4280 ^ _605816) ^ [_752866] : [-(element(4278 ^ [_752866], powerset(_752866)))], (4282 ^ _605816) ^ [_752917] : [-(empty(4278 ^ [_752917]))], (4285 ^ _605816) ^ [] : [empty(4283 ^ [])], (4287 ^ _605816) ^ [_753106] : [-(empty(_753106)), 4291 ^ _605816 : [(4292 ^ _605816) ^ [] : [-(element(4290 ^ [_753106], powerset(_753106)))], (4294 ^ _605816) ^ [] : [empty(4290 ^ [_753106])], (4296 ^ _605816) ^ [] : [-(finite(4290 ^ [_753106]))]]], (4299 ^ _605816) ^ [] : [-(relation(4297 ^ []))], (4301 ^ _605816) ^ [] : [-(function(4297 ^ []))], (4303 ^ _605816) ^ [] : [-(one_to_one(4297 ^ []))], (4306 ^ _605816) ^ [] : [empty(4304 ^ [])], (4308 ^ _605816) ^ [] : [-(epsilon_transitive(4304 ^ []))], (4310 ^ _605816) ^ [] : [-(epsilon_connected(4304 ^ []))], (4312 ^ _605816) ^ [] : [-(ordinal(4304 ^ []))], (4315 ^ _605816) ^ [] : [-(relation(4313 ^ []))], (4317 ^ _605816) ^ [] : [-(relation_empty_yielding(4313 ^ []))], (4320 ^ _605816) ^ [] : [-(relation(4318 ^ []))], (4322 ^ _605816) ^ [] : [-(relation_empty_yielding(4318 ^ []))], (4324 ^ _605816) ^ [] : [-(function(4318 ^ []))], (4326 ^ _605816) ^ [_754383, _754385, _754387] : [relation_of2(_754383, _754387, _754385), -(relation_dom_as_subset(_754387, _754385, _754383) = relation_dom(_754383))], (4332 ^ _605816) ^ [_754627, _754629, _754631] : [relation_of2(_754627, _754631, _754629), -(relation_rng_as_subset(_754631, _754629, _754627) = relation_rng(_754627))], (4338 ^ _605816) ^ [_754857, _754859] : [element(_754857, powerset(powerset(_754859))), -(union_of_subsets(_754859, _754857) = union(_754857))], (4344 ^ _605816) ^ [_755085, _755087] : [element(_755085, powerset(powerset(_755087))), -(meet_of_subsets(_755087, _755085) = set_meet(_755085))], (4350 ^ _605816) ^ [_755327, _755329, _755331] : [-(subset_difference(_755331, _755329, _755327) = set_difference(_755329, _755327)), element(_755329, powerset(_755331)), element(_755327, powerset(_755331))], (4360 ^ _605816) ^ [_755701, _755703, _755705] : [relation_of2_as_subset(_755701, _755705, _755703), -(relation_of2(_755701, _755705, _755703))], (4366 ^ _605816) ^ [_755873, _755875, _755877] : [relation_of2(_755873, _755877, _755875), -(relation_of2_as_subset(_755873, _755877, _755875))], (4372 ^ _605816) ^ [_756095, _756097] : [ordinal(_756097), ordinal(_756095), 4379 ^ _605816 : [(4380 ^ _605816) ^ [] : [ordinal_subset(_756097, _756095), -(subset(_756097, _756095))], (4386 ^ _605816) ^ [] : [subset(_756097, _756095), -(ordinal_subset(_756097, _756095))]]], (4392 ^ _605816) ^ [_756671, _756673] : [equipotent(_756673, _756671), -(are_equipotent(_756673, _756671))], (4398 ^ _605816) ^ [_756833, _756835] : [are_equipotent(_756835, _756833), -(equipotent(_756835, _756833))], (4404 ^ _605816) ^ [_757045, _757047] : [-(ordinal_subset(_757047, _757047)), ordinal(_757047), ordinal(_757045)], (4414 ^ _605816) ^ [_757325, _757327] : [-(subset(_757327, _757327))], (4416 ^ _605816) ^ [_757419, _757421] : [-(equipotent(_757421, _757421))], (4418 ^ _605816) ^ [_757528, _757530] : [-(empty(_757530)), relation(_757528), 4430 ^ _605816 : [(4457 ^ _605816) ^ [] : [4428 ^ [_757528, _757530] = 4429 ^ [_757528, _757530]], (4431 ^ _605816) ^ [] : [-(in(4427 ^ [_757528, _757530], _757530))], (4434 ^ _605816) ^ [] : [-(4427 ^ [_757528, _757530] = 4432 ^ [_757528, _757530])], (4436 ^ _605816) ^ [] : [-(in(4428 ^ [_757528, _757530], 4432 ^ [_757528, _757530]))], (4438 ^ _605816) ^ [_758810] : [in(_758810, 4432 ^ [_757528, _757530]), -(in(ordered_pair(4428 ^ [_757528, _757530], _758810), _757528))], (4444 ^ _605816) ^ [] : [-(in(4427 ^ [_757528, _757530], _757530))], (4447 ^ _605816) ^ [] : [-(4427 ^ [_757528, _757530] = 4445 ^ [_757528, _757530])], (4449 ^ _605816) ^ [] : [-(in(4429 ^ [_757528, _757530], 4445 ^ [_757528, _757530]))], (4451 ^ _605816) ^ [_759359] : [in(_759359, 4445 ^ [_757528, _757530]), -(in(ordered_pair(4429 ^ [_757528, _757530], _759359), _757528))]], 4459 ^ _605816 : [(4460 ^ _605816) ^ [] : [-(relation(4458 ^ [_757528, _757530]))], (4462 ^ _605816) ^ [] : [-(function(4458 ^ [_757528, _757530]))], (4464 ^ _605816) ^ [_759958, _759960] : [in(ordered_pair(_759960, _759958), 4458 ^ [_757528, _757530]), 4467 ^ _605816 : [(4468 ^ _605816) ^ [] : [-(in(_759960, _757530))], (4470 ^ _605816) ^ [] : [-(in(_759960, _757530))], (4473 ^ _605816) ^ [] : [-(_759960 = 4471 ^ [_757528, _757530, _759958, _759960])], (4475 ^ _605816) ^ [] : [-(in(_759958, 4471 ^ [_757528, _757530, _759958, _759960]))], (4477 ^ _605816) ^ [_760540] : [in(_760540, 4471 ^ [_757528, _757530, _759958, _759960]), -(in(ordered_pair(_759958, _760540), _757528))]]], (4483 ^ _605816) ^ [_760769, _760771] : [-(in(ordered_pair(_760771, _760769), 4458 ^ [_757528, _757530])), in(_760771, _757530), in(_760771, _757530), 4492 ^ _605816 : [(4493 ^ _605816) ^ [_761085] : [_760771 = _761085, in(_760769, _761085), 4501 ^ _605816 : [(4502 ^ _605816) ^ [] : [-(in(4500 ^ [_757528, _757530, _760769, _760771, _761085], _761085))], (4504 ^ _605816) ^ [] : [in(ordered_pair(_760769, 4500 ^ [_757528, _757530, _760769, _760771, _761085]), _757528)]]]]]]], (4508 ^ _605816) ^ [_761682] : [4512 ^ _605816 : [(4513 ^ _605816) ^ [] : [-(in(4509 ^ [_761682], _761682))], (4515 ^ _605816) ^ [] : [-(4510 ^ [_761682] = singleton(4509 ^ [_761682]))], (4517 ^ _605816) ^ [] : [-(in(4509 ^ [_761682], _761682))], (4519 ^ _605816) ^ [] : [-(4511 ^ [_761682] = singleton(4509 ^ [_761682]))], (4521 ^ _605816) ^ [] : [4510 ^ [_761682] = 4511 ^ [_761682]]], 4523 ^ _605816 : [(4524 ^ _605816) ^ [] : [-(relation(4522 ^ [_761682]))], (4526 ^ _605816) ^ [] : [-(function(4522 ^ [_761682]))], (4528 ^ _605816) ^ [_762744, _762746] : [in(ordered_pair(_762746, _762744), 4522 ^ [_761682]), 4531 ^ _605816 : [(4532 ^ _605816) ^ [] : [-(in(_762746, _761682))], (4534 ^ _605816) ^ [] : [-(in(_762746, _761682))], (4536 ^ _605816) ^ [] : [-(_762744 = singleton(_762746))]]], (4538 ^ _605816) ^ [_763087, _763089] : [-(in(ordered_pair(_763089, _763087), 4522 ^ [_761682])), in(_763089, _761682), in(_763089, _761682), _763087 = singleton(_763089)]]], (4552 ^ _605816) ^ [_763509] : [4553 ^ _605816 : [(4554 ^ _605816) ^ [_763630] : [ordinal(_763630), in(_763630, _763509)]], 4560 ^ _605816 : [(4561 ^ _605816) ^ [] : [-(ordinal(4559 ^ [_763509]))], (4563 ^ _605816) ^ [] : [-(in(4559 ^ [_763509], _763509))], (4565 ^ _605816) ^ [_764010] : [ordinal(_764010), in(_764010, _763509), -(ordinal_subset(4559 ^ [_763509], _764010))]]], (4575 ^ _605816) ^ [] : [4702 ^ _605816 : [(4703 ^ _605816) ^ [_768777] : [ordinal(_768777), in(_768777, omega), 4710 ^ _605816 : [(4711 ^ _605816) ^ [_769033] : [element(_769033, powerset(powerset(_768777))), -(_769033 = empty_set), 4719 ^ _605816 : [(4720 ^ _605816) ^ [] : [-(in(4718 ^ [_768777, _769033], _769033))], (4722 ^ _605816) ^ [_769432] : [-(_769432 = 4718 ^ [_768777, _769033]), in(_769432, _769033), subset(4718 ^ [_768777, _769033], _769432)]]]]]], 4578 ^ _605816 : [(4579 ^ _605816) ^ [] : [-(in(empty_set, omega))], (4582 ^ _605816) ^ [] : [-(element(4580 ^ [], powerset(powerset(empty_set))))], (4584 ^ _605816) ^ [] : [4580 ^ [] = empty_set], (4586 ^ _605816) ^ [_764616] : [in(_764616, 4580 ^ []), 4590 ^ _605816 : [(4591 ^ _605816) ^ [] : [-(in(4589 ^ [_764616], 4580 ^ []))], (4593 ^ _605816) ^ [] : [-(subset(_764616, 4589 ^ [_764616]))], (4595 ^ _605816) ^ [] : [4589 ^ [_764616] = _764616]]]], 4599 ^ _605816 : [(4600 ^ _605816) ^ [] : [-(ordinal(4598 ^ []))], (4627 ^ _605816) ^ [] : [-(in(succ(4598 ^ []), omega))], (4630 ^ _605816) ^ [] : [-(element(4628 ^ [], powerset(powerset(succ(4598 ^ [])))))], (4632 ^ _605816) ^ [] : [4628 ^ [] = empty_set], (4634 ^ _605816) ^ [_766267] : [in(_766267, 4628 ^ []), 4638 ^ _605816 : [(4639 ^ _605816) ^ [] : [-(in(4637 ^ [_766267], 4628 ^ []))], (4641 ^ _605816) ^ [] : [-(subset(_766267, 4637 ^ [_766267]))], (4643 ^ _605816) ^ [] : [4637 ^ [_766267] = _766267]]], (4602 ^ _605816) ^ [] : [in(4598 ^ [], omega), 4605 ^ _605816 : [(4606 ^ _605816) ^ [_765350] : [element(_765350, powerset(powerset(4598 ^ []))), -(_765350 = empty_set), 4614 ^ _605816 : [(4615 ^ _605816) ^ [] : [-(in(4613 ^ [_765350], _765350))], (4617 ^ _605816) ^ [_765723] : [-(_765723 = 4613 ^ [_765350]), in(_765723, _765350), subset(4613 ^ [_765350], _765723)]]]]]], 4645 ^ _605816 : [(4646 ^ _605816) ^ [] : [-(ordinal(4644 ^ []))], (4683 ^ _605816) ^ [] : [4644 ^ [] = empty_set], (4685 ^ _605816) ^ [] : [-(in(4644 ^ [], omega))], (4688 ^ _605816) ^ [] : [-(element(4686 ^ [], powerset(powerset(4644 ^ []))))], (4690 ^ _605816) ^ [] : [4686 ^ [] = empty_set], (4692 ^ _605816) ^ [_768357] : [in(_768357, 4686 ^ []), 4696 ^ _605816 : [(4697 ^ _605816) ^ [] : [-(in(4695 ^ [_768357], 4686 ^ []))], (4699 ^ _605816) ^ [] : [-(subset(_768357, 4695 ^ [_768357]))], (4701 ^ _605816) ^ [] : [4695 ^ [_768357] = _768357]]], (4648 ^ _605816) ^ [] : [-(being_limit_ordinal(4644 ^ []))], (4650 ^ _605816) ^ [_766995] : [ordinal(_766995), in(_766995, 4644 ^ []), in(_766995, omega), 4661 ^ _605816 : [(4662 ^ _605816) ^ [_767332] : [element(_767332, powerset(powerset(_766995))), -(_767332 = empty_set), 4670 ^ _605816 : [(4671 ^ _605816) ^ [] : [-(in(4669 ^ [_766995, _767332], _767332))], (4673 ^ _605816) ^ [_767731] : [-(_767731 = 4669 ^ [_766995, _767332]), in(_767731, _767332), subset(4669 ^ [_766995, _767332], _767731)]]]]]]], (4732 ^ _605816) ^ [_769812, _769814, _769816] : [relation(_769814), relation(_769812), function(_769812), 4744 ^ _605816 : [(4745 ^ _605816) ^ [] : [-(relation(4743 ^ [_769812, _769814, _769816]))], (4747 ^ _605816) ^ [_770385, _770387] : [in(ordered_pair(_770387, _770385), 4743 ^ [_769812, _769814, _769816]), 4750 ^ _605816 : [(4751 ^ _605816) ^ [] : [-(in(_770387, _769816))], (4753 ^ _605816) ^ [] : [-(in(_770385, _769816))], (4755 ^ _605816) ^ [] : [-(in(ordered_pair(apply(_769812, _770387), apply(_769812, _770385)), _769814))]]], (4757 ^ _605816) ^ [_770774, _770776] : [-(in(ordered_pair(_770776, _770774), 4743 ^ [_769812, _769814, _769816])), in(_770776, _769816), in(_770774, _769816), in(ordered_pair(apply(_769812, _770776), apply(_769812, _770774)), _769814)]]], (4771 ^ _605816) ^ [_771265, _771267] : [-(empty(_771267)), relation(_771265), 4783 ^ _605816 : [(4810 ^ _605816) ^ [] : [4781 ^ [_771265, _771267] = 4782 ^ [_771265, _771267]], (4784 ^ _605816) ^ [] : [-(in(4780 ^ [_771265, _771267], _771267))], (4787 ^ _605816) ^ [] : [-(4780 ^ [_771265, _771267] = 4785 ^ [_771265, _771267])], (4789 ^ _605816) ^ [] : [-(in(4781 ^ [_771265, _771267], 4785 ^ [_771265, _771267]))], (4791 ^ _605816) ^ [_772534] : [in(_772534, 4785 ^ [_771265, _771267]), -(in(ordered_pair(4781 ^ [_771265, _771267], _772534), _771265))], (4797 ^ _605816) ^ [] : [-(in(4780 ^ [_771265, _771267], _771267))], (4800 ^ _605816) ^ [] : [-(4780 ^ [_771265, _771267] = 4798 ^ [_771265, _771267])], (4802 ^ _605816) ^ [] : [-(in(4782 ^ [_771265, _771267], 4798 ^ [_771265, _771267]))], (4804 ^ _605816) ^ [_773083] : [in(_773083, 4798 ^ [_771265, _771267]), -(in(ordered_pair(4782 ^ [_771265, _771267], _773083), _771265))]], 4812 ^ _605816 : [(4813 ^ _605816) ^ [_773511] : [in(_773511, 4811 ^ [_771265, _771267]), 4817 ^ _605816 : [(4818 ^ _605816) ^ [] : [-(in(4816 ^ [_771265, _771267, _773511], _771267))], (4820 ^ _605816) ^ [] : [-(in(4816 ^ [_771265, _771267, _773511], _771267))], (4823 ^ _605816) ^ [] : [-(4816 ^ [_771265, _771267, _773511] = 4821 ^ [_771265, _771267, _773511])], (4825 ^ _605816) ^ [] : [-(in(_773511, 4821 ^ [_771265, _771267, _773511]))], (4827 ^ _605816) ^ [_774200] : [in(_774200, 4821 ^ [_771265, _771267, _773511]), -(in(ordered_pair(_773511, _774200), _771265))]]], (4833 ^ _605816) ^ [_774417] : [-(in(_774417, 4811 ^ [_771265, _771267])), 4834 ^ _605816 : [(4835 ^ _605816) ^ [_774559] : [in(_774559, _771267), in(_774559, _771267), 4842 ^ _605816 : [(4843 ^ _605816) ^ [_774823] : [_774559 = _774823, in(_774417, _774823), 4851 ^ _605816 : [(4852 ^ _605816) ^ [] : [-(in(4850 ^ [_771265, _771267, _774417, _774559, _774823], _774823))], (4854 ^ _605816) ^ [] : [in(ordered_pair(_774417, 4850 ^ [_771265, _771267, _774417, _774559, _774823]), _771265)]]]]]]]]], (4858 ^ _605816) ^ [_775426, _775428] : [-(empty(_775428)), relation(_775426), 4865 ^ _605816 : [(4866 ^ _605816) ^ [_775894] : [4870 ^ _605816 : [(4909 ^ _605816) ^ [] : [4868 ^ [_775426, _775428, _775894] = 4869 ^ [_775426, _775428, _775894]], (4871 ^ _605816) ^ [] : [-(4867 ^ [_775426, _775428, _775894] = 4868 ^ [_775426, _775428, _775894])], (4875 ^ _605816) ^ [] : [-(ordered_pair(4872 ^ [_775426, _775428, _775894], 4873 ^ [_775426, _775428, _775894]) = 4868 ^ [_775426, _775428, _775894])], (4877 ^ _605816) ^ [] : [-(in(4872 ^ [_775426, _775428, _775894], _775428))], (4880 ^ _605816) ^ [] : [-(4872 ^ [_775426, _775428, _775894] = 4878 ^ [_775426, _775428, _775894])], (4882 ^ _605816) ^ [] : [-(in(4873 ^ [_775426, _775428, _775894], 4878 ^ [_775426, _775428, _775894]))], (4884 ^ _605816) ^ [_777672] : [in(_777672, 4878 ^ [_775426, _775428, _775894]), -(in(ordered_pair(4873 ^ [_775426, _775428, _775894], _777672), _775426))], (4890 ^ _605816) ^ [] : [-(4867 ^ [_775426, _775428, _775894] = 4869 ^ [_775426, _775428, _775894])], (4894 ^ _605816) ^ [] : [-(ordered_pair(4891 ^ [_775426, _775428, _775894], 4892 ^ [_775426, _775428, _775894]) = 4869 ^ [_775426, _775428, _775894])], (4896 ^ _605816) ^ [] : [-(in(4891 ^ [_775426, _775428, _775894], _775428))], (4899 ^ _605816) ^ [] : [-(4891 ^ [_775426, _775428, _775894] = 4897 ^ [_775426, _775428, _775894])], (4901 ^ _605816) ^ [] : [-(in(4892 ^ [_775426, _775428, _775894], 4897 ^ [_775426, _775428, _775894]))], (4903 ^ _605816) ^ [_778691] : [in(_778691, 4897 ^ [_775426, _775428, _775894]), -(in(ordered_pair(4892 ^ [_775426, _775428, _775894], _778691), _775426))]], 4911 ^ _605816 : [(4912 ^ _605816) ^ [_779181] : [in(_779181, 4910 ^ [_775426, _775428, _775894]), 4916 ^ _605816 : [(4917 ^ _605816) ^ [] : [-(in(4915 ^ [_775426, _775428, _775894, _779181], cartesian_product2(_775428, _775894)))], (4919 ^ _605816) ^ [] : [-(4915 ^ [_775426, _775428, _775894, _779181] = _779181)], (4923 ^ _605816) ^ [] : [-(ordered_pair(4920 ^ [_775426, _775428, _775894, _779181], 4921 ^ [_775426, _775428, _775894, _779181]) = _779181)], (4925 ^ _605816) ^ [] : [-(in(4920 ^ [_775426, _775428, _775894, _779181], _775428))], (4928 ^ _605816) ^ [] : [-(4920 ^ [_775426, _775428, _775894, _779181] = 4926 ^ [_775426, _775428, _775894, _779181])], (4930 ^ _605816) ^ [] : [-(in(4921 ^ [_775426, _775428, _775894, _779181], 4926 ^ [_775426, _775428, _775894, _779181]))], (4932 ^ _605816) ^ [_780412] : [in(_780412, 4926 ^ [_775426, _775428, _775894, _779181]), -(in(ordered_pair(4921 ^ [_775426, _775428, _775894, _779181], _780412), _775426))]]], (4938 ^ _605816) ^ [_780667] : [-(in(_780667, 4910 ^ [_775426, _775428, _775894])), 4939 ^ _605816 : [(4940 ^ _605816) ^ [_780843] : [in(_780843, cartesian_product2(_775428, _775894)), _780843 = _780667, 4947 ^ _605816 : [(4948 ^ _605816) ^ [_781162, _781164] : [ordered_pair(_781164, _781162) = _780667, in(_781164, _775428), 4955 ^ _605816 : [(4956 ^ _605816) ^ [_781460] : [_781164 = _781460, in(_781162, _781460), 4964 ^ _605816 : [(4965 ^ _605816) ^ [] : [-(in(4963 ^ [_775426, _775428, _775894, _780667, _780843, _781162, _781164, _781460], _781460))], (4967 ^ _605816) ^ [] : [in(ordered_pair(_781162, 4963 ^ [_775426, _775428, _775894, _780667, _780843, _781162, _781164, _781460]), _775426)]]]]]]]]]]]]], (4971 ^ _605816) ^ [_782129] : [4975 ^ _605816 : [(4976 ^ _605816) ^ [] : [-(in(4972 ^ [_782129], _782129))], (4978 ^ _605816) ^ [] : [-(4973 ^ [_782129] = singleton(4972 ^ [_782129]))], (4980 ^ _605816) ^ [] : [-(in(4972 ^ [_782129], _782129))], (4982 ^ _605816) ^ [] : [-(4974 ^ [_782129] = singleton(4972 ^ [_782129]))], (4984 ^ _605816) ^ [] : [4973 ^ [_782129] = 4974 ^ [_782129]]], 4986 ^ _605816 : [(4987 ^ _605816) ^ [_783015] : [in(_783015, 4985 ^ [_782129]), 4991 ^ _605816 : [(4992 ^ _605816) ^ [] : [-(in(4990 ^ [_782129, _783015], _782129))], (4994 ^ _605816) ^ [] : [-(in(4990 ^ [_782129, _783015], _782129))], (4996 ^ _605816) ^ [] : [-(_783015 = singleton(4990 ^ [_782129, _783015]))]]], (4998 ^ _605816) ^ [_783427] : [-(in(_783427, 4985 ^ [_782129])), 4999 ^ _605816 : [(5000 ^ _605816) ^ [_783534] : [in(_783534, _782129), in(_783534, _782129), _783427 = singleton(_783534)]]]]], (5012 ^ _605816) ^ [_783914, _783916] : [5016 ^ _605816 : [(5017 ^ _605816) ^ [] : [-(5013 ^ [_783914, _783916] = 5014 ^ [_783914, _783916])], (5021 ^ _605816) ^ [] : [-(ordered_pair(5018 ^ [_783914, _783916], 5019 ^ [_783914, _783916]) = 5014 ^ [_783914, _783916])], (5023 ^ _605816) ^ [] : [-(in(5018 ^ [_783914, _783916], _783916))], (5025 ^ _605816) ^ [] : [-(5019 ^ [_783914, _783916] = singleton(5018 ^ [_783914, _783916]))], (5027 ^ _605816) ^ [] : [-(5013 ^ [_783914, _783916] = 5015 ^ [_783914, _783916])], (5031 ^ _605816) ^ [] : [-(ordered_pair(5028 ^ [_783914, _783916], 5029 ^ [_783914, _783916]) = 5015 ^ [_783914, _783916])], (5033 ^ _605816) ^ [] : [-(in(5028 ^ [_783914, _783916], _783916))], (5035 ^ _605816) ^ [] : [-(5029 ^ [_783914, _783916] = singleton(5028 ^ [_783914, _783916]))], (5037 ^ _605816) ^ [] : [5014 ^ [_783914, _783916] = 5015 ^ [_783914, _783916]]], 5039 ^ _605816 : [(5040 ^ _605816) ^ [_785787] : [in(_785787, 5038 ^ [_783914, _783916]), 5044 ^ _605816 : [(5045 ^ _605816) ^ [] : [-(in(5043 ^ [_783914, _783916, _785787], cartesian_product2(_783916, _783914)))], (5047 ^ _605816) ^ [] : [-(5043 ^ [_783914, _783916, _785787] = _785787)], (5051 ^ _605816) ^ [] : [-(ordered_pair(5048 ^ [_783914, _783916, _785787], 5049 ^ [_783914, _783916, _785787]) = _785787)], (5053 ^ _605816) ^ [] : [-(in(5048 ^ [_783914, _783916, _785787], _783916))], (5055 ^ _605816) ^ [] : [-(5049 ^ [_783914, _783916, _785787] = singleton(5048 ^ [_783914, _783916, _785787]))]]], (5057 ^ _605816) ^ [_786627] : [-(in(_786627, 5038 ^ [_783914, _783916])), 5058 ^ _605816 : [(5059 ^ _605816) ^ [_786768] : [in(_786768, cartesian_product2(_783916, _783914)), _786768 = _786627, 5066 ^ _605816 : [(5067 ^ _605816) ^ [_787048, _787050] : [ordered_pair(_787050, _787048) = _786627, in(_787050, _783916), _787048 = singleton(_787050)]]]]]]], (5079 ^ _605816) ^ [_787467] : [ordinal(_787467), 5087 ^ _605816 : [(5152 ^ _605816) ^ [] : [5085 ^ [_787467] = 5086 ^ [_787467]], (5088 ^ _605816) ^ [] : [-(5084 ^ [_787467] = 5085 ^ [_787467])], (5091 ^ _605816) ^ [] : [-(ordinal(5089 ^ [_787467]))], (5093 ^ _605816) ^ [] : [-(5085 ^ [_787467] = 5089 ^ [_787467])], (5095 ^ _605816) ^ [] : [in(5089 ^ [_787467], omega), 5098 ^ _605816 : [(5099 ^ _605816) ^ [_789091] : [element(_789091, powerset(powerset(5089 ^ [_787467]))), -(_789091 = empty_set), 5107 ^ _605816 : [(5108 ^ _605816) ^ [] : [-(in(5106 ^ [_787467, _789091], _789091))], (5110 ^ _605816) ^ [_789500] : [-(_789500 = 5106 ^ [_787467, _789091]), in(_789500, _789091), subset(5106 ^ [_787467, _789091], _789500)]]]]], (5120 ^ _605816) ^ [] : [-(5084 ^ [_787467] = 5086 ^ [_787467])], (5123 ^ _605816) ^ [] : [-(ordinal(5121 ^ [_787467]))], (5125 ^ _605816) ^ [] : [-(5086 ^ [_787467] = 5121 ^ [_787467])], (5127 ^ _605816) ^ [] : [in(5121 ^ [_787467], omega), 5130 ^ _605816 : [(5131 ^ _605816) ^ [_790241] : [element(_790241, powerset(powerset(5121 ^ [_787467]))), -(_790241 = empty_set), 5139 ^ _605816 : [(5140 ^ _605816) ^ [] : [-(in(5138 ^ [_787467, _790241], _790241))], (5142 ^ _605816) ^ [_790650] : [-(_790650 = 5138 ^ [_787467, _790241]), in(_790650, _790241), subset(5138 ^ [_787467, _790241], _790650)]]]]]], 5154 ^ _605816 : [(5155 ^ _605816) ^ [_791219] : [in(_791219, 5153 ^ [_787467]), 5159 ^ _605816 : [(5160 ^ _605816) ^ [] : [-(in(5158 ^ [_787467, _791219], succ(_787467)))], (5162 ^ _605816) ^ [] : [-(5158 ^ [_787467, _791219] = _791219)], (5165 ^ _605816) ^ [] : [-(ordinal(5163 ^ [_787467, _791219]))], (5167 ^ _605816) ^ [] : [-(_791219 = 5163 ^ [_787467, _791219])], (5169 ^ _605816) ^ [] : [in(5163 ^ [_787467, _791219], omega), 5172 ^ _605816 : [(5173 ^ _605816) ^ [_792085] : [element(_792085, powerset(powerset(5163 ^ [_787467, _791219]))), -(_792085 = empty_set), 5181 ^ _605816 : [(5182 ^ _605816) ^ [] : [-(in(5180 ^ [_787467, _791219, _792085], _792085))], (5184 ^ _605816) ^ [_792516] : [-(_792516 = 5180 ^ [_787467, _791219, _792085]), in(_792516, _792085), subset(5180 ^ [_787467, _791219, _792085], _792516)]]]]]]], (5194 ^ _605816) ^ [_792858] : [-(in(_792858, 5153 ^ [_787467])), 5195 ^ _605816 : [(5196 ^ _605816) ^ [_793042] : [in(_793042, succ(_787467)), _793042 = _792858, 5203 ^ _605816 : [(5204 ^ _605816) ^ [_793346] : [ordinal(_793346), _792858 = _793346, 5211 ^ _605816 : [(5212 ^ _605816) ^ [] : [-(in(_793346, omega))], (5215 ^ _605816) ^ [] : [-(element(5213 ^ [_787467, _792858, _793042, _793346], powerset(powerset(_793346))))], (5217 ^ _605816) ^ [] : [5213 ^ [_787467, _792858, _793042, _793346] = empty_set], (5219 ^ _605816) ^ [_793976] : [in(_793976, 5213 ^ [_787467, _792858, _793042, _793346]), 5223 ^ _605816 : [(5224 ^ _605816) ^ [] : [-(in(5222 ^ [_787467, _792858, _793042, _793346, _793976], 5213 ^ [_787467, _792858, _793042, _793346]))], (5226 ^ _605816) ^ [] : [-(subset(_793976, 5222 ^ [_787467, _792858, _793042, _793346, _793976]))], (5228 ^ _605816) ^ [] : [5222 ^ [_787467, _792858, _793042, _793346, _793976] = _793976]]]]]]]]]]], (5232 ^ _605816) ^ [_794634, _794636] : [ordinal(_794636), element(_794634, powerset(powerset(succ(_794636)))), 5244 ^ _605816 : [(5245 ^ _605816) ^ [] : [-(5241 ^ [_794634, _794636] = 5242 ^ [_794634, _794636])], (5248 ^ _605816) ^ [] : [-(in(5246 ^ [_794634, _794636], _794634))], (5250 ^ _605816) ^ [] : [-(5242 ^ [_794634, _794636] = set_difference(5246 ^ [_794634, _794636], singleton(_794636)))], (5252 ^ _605816) ^ [] : [-(5241 ^ [_794634, _794636] = 5243 ^ [_794634, _794636])], (5255 ^ _605816) ^ [] : [-(in(5253 ^ [_794634, _794636], _794634))], (5257 ^ _605816) ^ [] : [-(5243 ^ [_794634, _794636] = set_difference(5253 ^ [_794634, _794636], singleton(_794636)))], (5259 ^ _605816) ^ [] : [5242 ^ [_794634, _794636] = 5243 ^ [_794634, _794636]]], 5261 ^ _605816 : [(5262 ^ _605816) ^ [_796193] : [in(_796193, 5260 ^ [_794634, _794636]), 5266 ^ _605816 : [(5267 ^ _605816) ^ [] : [-(in(5265 ^ [_794634, _794636, _796193], powerset(_794636)))], (5269 ^ _605816) ^ [] : [-(5265 ^ [_794634, _794636, _796193] = _796193)], (5272 ^ _605816) ^ [] : [-(in(5270 ^ [_794634, _794636, _796193], _794634))], (5274 ^ _605816) ^ [] : [-(_796193 = set_difference(5270 ^ [_794634, _794636, _796193], singleton(_794636)))]]], (5276 ^ _605816) ^ [_796807] : [-(in(_796807, 5260 ^ [_794634, _794636])), 5277 ^ _605816 : [(5278 ^ _605816) ^ [_796936] : [in(_796936, powerset(_794636)), _796936 = _796807, 5285 ^ _605816 : [(5286 ^ _605816) ^ [_797189] : [in(_797189, _794634), _796807 = set_difference(_797189, singleton(_794636))]]]]]]], (5294 ^ _605816) ^ [_797531, _797533, _797535] : [relation(_797533), relation(_797531), function(_797531), 5310 ^ _605816 : [(5311 ^ _605816) ^ [] : [-(5307 ^ [_797531, _797533, _797535] = 5308 ^ [_797531, _797533, _797535])], (5315 ^ _605816) ^ [] : [-(5308 ^ [_797531, _797533, _797535] = ordered_pair(5312 ^ [_797531, _797533, _797535], 5313 ^ [_797531, _797533, _797535]))], (5317 ^ _605816) ^ [] : [-(in(ordered_pair(apply(_797531, 5312 ^ [_797531, _797533, _797535]), apply(_797531, 5313 ^ [_797531, _797533, _797535])), _797533))], (5319 ^ _605816) ^ [] : [-(5307 ^ [_797531, _797533, _797535] = 5309 ^ [_797531, _797533, _797535])], (5323 ^ _605816) ^ [] : [-(5309 ^ [_797531, _797533, _797535] = ordered_pair(5320 ^ [_797531, _797533, _797535], 5321 ^ [_797531, _797533, _797535]))], (5325 ^ _605816) ^ [] : [-(in(ordered_pair(apply(_797531, 5320 ^ [_797531, _797533, _797535]), apply(_797531, 5321 ^ [_797531, _797533, _797535])), _797533))], (5327 ^ _605816) ^ [] : [5308 ^ [_797531, _797533, _797535] = 5309 ^ [_797531, _797533, _797535]]], 5329 ^ _605816 : [(5330 ^ _605816) ^ [_799641] : [in(_799641, 5328 ^ [_797531, _797533, _797535]), 5334 ^ _605816 : [(5335 ^ _605816) ^ [] : [-(in(5333 ^ [_797531, _797533, _797535, _799641], cartesian_product2(_797535, _797535)))], (5337 ^ _605816) ^ [] : [-(5333 ^ [_797531, _797533, _797535, _799641] = _799641)], (5341 ^ _605816) ^ [] : [-(_799641 = ordered_pair(5338 ^ [_797531, _797533, _797535, _799641], 5339 ^ [_797531, _797533, _797535, _799641]))], (5343 ^ _605816) ^ [] : [-(in(ordered_pair(apply(_797531, 5338 ^ [_797531, _797533, _797535, _799641]), apply(_797531, 5339 ^ [_797531, _797533, _797535, _799641])), _797533))]]], (5345 ^ _605816) ^ [_800450] : [-(in(_800450, 5328 ^ [_797531, _797533, _797535])), 5346 ^ _605816 : [(5347 ^ _605816) ^ [_800598] : [in(_800598, cartesian_product2(_797535, _797535)), _800598 = _800450, 5354 ^ _605816 : [(5355 ^ _605816) ^ [_800889, _800891] : [_800450 = ordered_pair(_800891, _800889), in(ordered_pair(apply(_797531, _800891), apply(_797531, _800889)), _797533)]]]]]]], (5363 ^ _605816) ^ [_801237] : [5367 ^ _605816 : [(5368 ^ _605816) ^ [] : [-(5364 ^ [_801237] = 5365 ^ [_801237])], (5370 ^ _605816) ^ [] : [-(ordinal(5365 ^ [_801237]))], (5372 ^ _605816) ^ [] : [-(5364 ^ [_801237] = 5366 ^ [_801237])], (5374 ^ _605816) ^ [] : [-(ordinal(5366 ^ [_801237]))], (5376 ^ _605816) ^ [] : [5365 ^ [_801237] = 5366 ^ [_801237]]], 5378 ^ _605816 : [(5379 ^ _605816) ^ [_802072] : [in(_802072, 5377 ^ [_801237]), 5383 ^ _605816 : [(5384 ^ _605816) ^ [] : [-(in(5382 ^ [_801237, _802072], _801237))], (5386 ^ _605816) ^ [] : [-(5382 ^ [_801237, _802072] = _802072)], (5388 ^ _605816) ^ [] : [-(ordinal(_802072))]]], (5390 ^ _605816) ^ [_802468] : [-(in(_802468, 5377 ^ [_801237])), 5391 ^ _605816 : [(5392 ^ _605816) ^ [_802572] : [in(_802572, _801237), _802572 = _802468, ordinal(_802468)]]]]], (5404 ^ _605816) ^ [_802960, _802962, _802964] : [element(_802962, powerset(powerset(_802964))), relation(_802960), function(_802960), 5420 ^ _605816 : [(5421 ^ _605816) ^ [] : [-(5417 ^ [_802960, _802962, _802964] = 5418 ^ [_802960, _802962, _802964])], (5423 ^ _605816) ^ [] : [-(in(relation_image(_802960, 5418 ^ [_802960, _802962, _802964]), _802962))], (5425 ^ _605816) ^ [] : [-(5417 ^ [_802960, _802962, _802964] = 5419 ^ [_802960, _802962, _802964])], (5427 ^ _605816) ^ [] : [-(in(relation_image(_802960, 5419 ^ [_802960, _802962, _802964]), _802962))], (5429 ^ _605816) ^ [] : [5418 ^ [_802960, _802962, _802964] = 5419 ^ [_802960, _802962, _802964]]], 5431 ^ _605816 : [(5432 ^ _605816) ^ [_804246] : [in(_804246, 5430 ^ [_802960, _802962, _802964]), 5436 ^ _605816 : [(5437 ^ _605816) ^ [] : [-(in(5435 ^ [_802960, _802962, _802964, _804246], powerset(relation_dom(_802960))))], (5439 ^ _605816) ^ [] : [-(5435 ^ [_802960, _802962, _802964, _804246] = _804246)], (5441 ^ _605816) ^ [] : [-(in(relation_image(_802960, _804246), _802962))]]], (5443 ^ _605816) ^ [_804714] : [-(in(_804714, 5430 ^ [_802960, _802962, _802964])), 5444 ^ _605816 : [(5445 ^ _605816) ^ [_804838] : [in(_804838, powerset(relation_dom(_802960))), _804838 = _804714, in(relation_image(_802960, _804714), _802962)]]]]], (5457 ^ _605816) ^ [_805268, _805270] : [ordinal(_805268), 5465 ^ _605816 : [(5466 ^ _605816) ^ [] : [-(5462 ^ [_805268, _805270] = 5463 ^ [_805268, _805270])], (5469 ^ _605816) ^ [] : [-(ordinal(5467 ^ [_805268, _805270]))], (5471 ^ _605816) ^ [] : [-(5463 ^ [_805268, _805270] = 5467 ^ [_805268, _805270])], (5473 ^ _605816) ^ [] : [-(in(5467 ^ [_805268, _805270], _805270))], (5475 ^ _605816) ^ [] : [-(5462 ^ [_805268, _805270] = 5464 ^ [_805268, _805270])], (5478 ^ _605816) ^ [] : [-(ordinal(5476 ^ [_805268, _805270]))], (5480 ^ _605816) ^ [] : [-(5464 ^ [_805268, _805270] = 5476 ^ [_805268, _805270])], (5482 ^ _605816) ^ [] : [-(in(5476 ^ [_805268, _805270], _805270))], (5484 ^ _605816) ^ [] : [5463 ^ [_805268, _805270] = 5464 ^ [_805268, _805270]]], 5486 ^ _605816 : [(5487 ^ _605816) ^ [_806870] : [in(_806870, 5485 ^ [_805268, _805270]), 5491 ^ _605816 : [(5492 ^ _605816) ^ [] : [-(in(5490 ^ [_805268, _805270, _806870], succ(_805268)))], (5494 ^ _605816) ^ [] : [-(5490 ^ [_805268, _805270, _806870] = _806870)], (5497 ^ _605816) ^ [] : [-(ordinal(5495 ^ [_805268, _805270, _806870]))], (5499 ^ _605816) ^ [] : [-(_806870 = 5495 ^ [_805268, _805270, _806870])], (5501 ^ _605816) ^ [] : [-(in(5495 ^ [_805268, _805270, _806870], _805270))]]], (5503 ^ _605816) ^ [_807557] : [-(in(_807557, 5485 ^ [_805268, _805270])), 5504 ^ _605816 : [(5505 ^ _605816) ^ [_807686] : [in(_807686, succ(_805268)), _807686 = _807557, 5512 ^ _605816 : [(5513 ^ _605816) ^ [_807939] : [ordinal(_807939), _807557 = _807939, in(_807939, _805270)]]]]]]], (5525 ^ _605816) ^ [_808354, _808356] : [-(empty(_808356)), relation(_808354), 5533 ^ _605816 : [(5534 ^ _605816) ^ [_808820, _808822] : [in(_808820, 5532 ^ [_808354, _808356, _808822]), 5537 ^ _605816 : [(5538 ^ _605816) ^ [] : [-(in(_808820, cartesian_product2(_808356, _808822)))], (5542 ^ _605816) ^ [] : [-(ordered_pair(5539 ^ [_808354, _808356, _808820, _808822], 5540 ^ [_808354, _808356, _808820, _808822]) = _808820)], (5544 ^ _605816) ^ [] : [-(in(5539 ^ [_808354, _808356, _808820, _808822], _808356))], (5547 ^ _605816) ^ [] : [-(5539 ^ [_808354, _808356, _808820, _808822] = 5545 ^ [_808354, _808356, _808820, _808822])], (5549 ^ _605816) ^ [] : [-(in(5540 ^ [_808354, _808356, _808820, _808822], 5545 ^ [_808354, _808356, _808820, _808822]))], (5551 ^ _605816) ^ [_809822] : [in(_809822, 5545 ^ [_808354, _808356, _808820, _808822]), -(in(ordered_pair(5540 ^ [_808354, _808356, _808820, _808822], _809822), _808354))]]], (5557 ^ _605816) ^ [_810075, _810077] : [-(in(_810075, 5532 ^ [_808354, _808356, _810077])), in(_810075, cartesian_product2(_808356, _810077)), 5562 ^ _605816 : [(5563 ^ _605816) ^ [_810342, _810344] : [ordered_pair(_810344, _810342) = _810075, in(_810344, _808356), 5570 ^ _605816 : [(5571 ^ _605816) ^ [_810630] : [_810344 = _810630, in(_810342, _810630), 5579 ^ _605816 : [(5580 ^ _605816) ^ [] : [-(in(5578 ^ [_808354, _808356, _810075, _810077, _810342, _810344, _810630], _810630))], (5582 ^ _605816) ^ [] : [in(ordered_pair(_810342, 5578 ^ [_808354, _808356, _810075, _810077, _810342, _810344, _810630]), _808354)]]]]]]]]], (5587 ^ _605816) ^ [_811411, _811413, _811415] : [in(_811411, 5585 ^ [_811413, _811415]), 5590 ^ _605816 : [(5591 ^ _605816) ^ [] : [-(in(_811411, cartesian_product2(_811415, _811413)))], (5595 ^ _605816) ^ [] : [-(ordered_pair(5592 ^ [_811411, _811413, _811415], 5593 ^ [_811411, _811413, _811415]) = _811411)], (5597 ^ _605816) ^ [] : [-(in(5592 ^ [_811411, _811413, _811415], _811415))], (5599 ^ _605816) ^ [] : [-(5593 ^ [_811411, _811413, _811415] = singleton(5592 ^ [_811411, _811413, _811415]))]]], (5601 ^ _605816) ^ [_812057, _812059, _812061] : [-(in(_812057, 5585 ^ [_812059, _812061])), in(_812057, cartesian_product2(_812061, _812059)), 5606 ^ _605816 : [(5607 ^ _605816) ^ [_812283, _812285] : [ordered_pair(_812285, _812283) = _812057, in(_812285, _812061), _812283 = singleton(_812285)]]], (5619 ^ _605816) ^ [_812679] : [ordinal(_812679), 5623 ^ _605816 : [(5660 ^ _605816) ^ [_814476] : [-(in(_814476, 5622 ^ [_812679])), in(_814476, succ(_812679)), 5665 ^ _605816 : [(5666 ^ _605816) ^ [_814730] : [ordinal(_814730), _814476 = _814730, 5673 ^ _605816 : [(5674 ^ _605816) ^ [] : [-(in(_814730, omega))], (5677 ^ _605816) ^ [] : [-(element(5675 ^ [_812679, _814476, _814730], powerset(powerset(_814730))))], (5679 ^ _605816) ^ [] : [5675 ^ [_812679, _814476, _814730] = empty_set], (5681 ^ _605816) ^ [_815336] : [in(_815336, 5675 ^ [_812679, _814476, _814730]), 5685 ^ _605816 : [(5686 ^ _605816) ^ [] : [-(in(5684 ^ [_812679, _814476, _814730, _815336], 5675 ^ [_812679, _814476, _814730]))], (5688 ^ _605816) ^ [] : [-(subset(_815336, 5684 ^ [_812679, _814476, _814730, _815336]))], (5690 ^ _605816) ^ [] : [5684 ^ [_812679, _814476, _814730, _815336] = _815336]]]]]]], (5624 ^ _605816) ^ [_813066] : [in(_813066, 5622 ^ [_812679]), 5627 ^ _605816 : [(5628 ^ _605816) ^ [] : [-(in(_813066, succ(_812679)))], (5631 ^ _605816) ^ [] : [-(ordinal(5629 ^ [_812679, _813066]))], (5633 ^ _605816) ^ [] : [-(_813066 = 5629 ^ [_812679, _813066])], (5635 ^ _605816) ^ [] : [in(5629 ^ [_812679, _813066], omega), 5638 ^ _605816 : [(5639 ^ _605816) ^ [_813705] : [element(_813705, powerset(powerset(5629 ^ [_812679, _813066]))), -(_813705 = empty_set), 5647 ^ _605816 : [(5648 ^ _605816) ^ [] : [-(in(5646 ^ [_812679, _813066, _813705], _813705))], (5650 ^ _605816) ^ [_814136] : [-(_814136 = 5646 ^ [_812679, _813066, _813705]), in(_814136, _813705), subset(5646 ^ [_812679, _813066, _813705], _814136)]]]]]]]]], (5694 ^ _605816) ^ [_815952, _815954] : [ordinal(_815954), element(_815952, powerset(powerset(succ(_815954)))), 5702 ^ _605816 : [(5703 ^ _605816) ^ [_816326] : [in(_816326, 5701 ^ [_815952, _815954]), 5706 ^ _605816 : [(5707 ^ _605816) ^ [] : [-(in(_816326, powerset(_815954)))], (5710 ^ _605816) ^ [] : [-(in(5708 ^ [_815952, _815954, _816326], _815952))], (5712 ^ _605816) ^ [] : [-(_816326 = set_difference(5708 ^ [_815952, _815954, _816326], singleton(_815954)))]]], (5714 ^ _605816) ^ [_816762] : [-(in(_816762, 5701 ^ [_815952, _815954])), in(_816762, powerset(_815954)), 5719 ^ _605816 : [(5720 ^ _605816) ^ [_816965] : [in(_816965, _815952), _816762 = set_difference(_816965, singleton(_815954))]]]]], (5728 ^ _605816) ^ [_817289, _817291, _817293] : [relation(_817291), relation(_817289), function(_817289), 5740 ^ _605816 : [(5741 ^ _605816) ^ [_817778] : [in(_817778, 5739 ^ [_817289, _817291, _817293]), 5744 ^ _605816 : [(5745 ^ _605816) ^ [] : [-(in(_817778, cartesian_product2(_817293, _817293)))], (5749 ^ _605816) ^ [] : [-(_817778 = ordered_pair(5746 ^ [_817289, _817291, _817293, _817778], 5747 ^ [_817289, _817291, _817293, _817778]))], (5751 ^ _605816) ^ [] : [-(in(ordered_pair(apply(_817289, 5746 ^ [_817289, _817291, _817293, _817778]), apply(_817289, 5747 ^ [_817289, _817291, _817293, _817778])), _817291))]]], (5753 ^ _605816) ^ [_818386] : [-(in(_818386, 5739 ^ [_817289, _817291, _817293])), in(_818386, cartesian_product2(_817293, _817293)), 5758 ^ _605816 : [(5759 ^ _605816) ^ [_818627, _818629] : [_818386 = ordered_pair(_818629, _818627), in(ordered_pair(apply(_817289, _818629), apply(_817289, _818627)), _817291)]]]]], (5768 ^ _605816) ^ [_819055, _819057] : [in(_819055, 5766 ^ [_819057]), 5771 ^ _605816 : [(5772 ^ _605816) ^ [] : [-(in(_819055, _819057))], (5774 ^ _605816) ^ [] : [-(ordinal(_819055))]]], (5776 ^ _605816) ^ [_819300, _819302] : [-(in(_819300, 5766 ^ [_819302])), in(_819300, _819302), ordinal(_819300)], (5786 ^ _605816) ^ [_819623, _819625, _819627] : [element(_819625, powerset(powerset(_819627))), relation(_819623), function(_819623), 5798 ^ _605816 : [(5799 ^ _605816) ^ [_820074] : [in(_820074, 5797 ^ [_819623, _819625, _819627]), 5802 ^ _605816 : [(5803 ^ _605816) ^ [] : [-(in(_820074, powerset(relation_dom(_819623))))], (5805 ^ _605816) ^ [] : [-(in(relation_image(_819623, _820074), _819625))]]], (5807 ^ _605816) ^ [_820365] : [-(in(_820365, 5797 ^ [_819623, _819625, _819627])), in(_820365, powerset(relation_dom(_819623))), in(relation_image(_819623, _820365), _819625)]]], (5817 ^ _605816) ^ [_820733, _820735] : [ordinal(_820733), 5821 ^ _605816 : [(5822 ^ _605816) ^ [_821006] : [in(_821006, 5820 ^ [_820733, _820735]), 5825 ^ _605816 : [(5826 ^ _605816) ^ [] : [-(in(_821006, succ(_820733)))], (5829 ^ _605816) ^ [] : [-(ordinal(5827 ^ [_820733, _820735, _821006]))], (5831 ^ _605816) ^ [] : [-(_821006 = 5827 ^ [_820733, _820735, _821006])], (5833 ^ _605816) ^ [] : [-(in(5827 ^ [_820733, _820735, _821006], _820735))]]], (5835 ^ _605816) ^ [_821515] : [-(in(_821515, 5820 ^ [_820733, _820735])), in(_821515, succ(_820733)), 5840 ^ _605816 : [(5841 ^ _605816) ^ [_821718] : [ordinal(_821718), _821515 = _821718, in(_821718, _820735)]]]]], (5853 ^ _605816) ^ [_822111, _822113] : [-(empty(_822113)), relation(_822111), 5910 ^ _605816 : [(5911 ^ _605816) ^ [] : [-(relation(5909 ^ [_822111, _822113]))], (5913 ^ _605816) ^ [] : [-(function(5909 ^ [_822111, _822113]))], (5915 ^ _605816) ^ [] : [-(relation_dom(5909 ^ [_822111, _822113]) = _822113)], (5917 ^ _605816) ^ [_825201] : [in(_825201, _822113), 5921 ^ _605816 : [(5922 ^ _605816) ^ [] : [-(_825201 = 5920 ^ [_822111, _822113, _825201])], (5924 ^ _605816) ^ [] : [-(in(apply(5909 ^ [_822111, _822113], _825201), 5920 ^ [_822111, _822113, _825201]))], (5926 ^ _605816) ^ [_825645] : [in(_825645, 5920 ^ [_822111, _822113, _825201]), -(in(ordered_pair(apply(5909 ^ [_822111, _822113], _825201), _825645), _822111))]]]], 5894 ^ _605816 : [(5895 ^ _605816) ^ [] : [-(in(5893 ^ [_822111, _822113], _822113))], (5897 ^ _605816) ^ [_824387, _824389] : [5893 ^ [_822111, _822113] = _824387, in(_824389, _824387), 5905 ^ _605816 : [(5906 ^ _605816) ^ [] : [-(in(5904 ^ [_822111, _822113, _824387, _824389], _824387))], (5908 ^ _605816) ^ [] : [in(ordered_pair(_824389, 5904 ^ [_822111, _822113, _824387, _824389]), _822111)]]]], 5867 ^ _605816 : [(5892 ^ _605816) ^ [] : [5865 ^ [_822111, _822113] = 5866 ^ [_822111, _822113]], (5868 ^ _605816) ^ [] : [-(in(5864 ^ [_822111, _822113], _822113))], (5871 ^ _605816) ^ [] : [-(5864 ^ [_822111, _822113] = 5869 ^ [_822111, _822113])], (5873 ^ _605816) ^ [] : [-(in(5865 ^ [_822111, _822113], 5869 ^ [_822111, _822113]))], (5875 ^ _605816) ^ [_823440] : [in(_823440, 5869 ^ [_822111, _822113]), -(in(ordered_pair(5865 ^ [_822111, _822113], _823440), _822111))], (5882 ^ _605816) ^ [] : [-(5864 ^ [_822111, _822113] = 5880 ^ [_822111, _822113])], (5884 ^ _605816) ^ [] : [-(in(5866 ^ [_822111, _822113], 5880 ^ [_822111, _822113]))], (5886 ^ _605816) ^ [_823916] : [in(_823916, 5880 ^ [_822111, _822113]), -(in(ordered_pair(5866 ^ [_822111, _822113], _823916), _822111))]]], (5932 ^ _605816) ^ [_825929] : [5938 ^ _605816 : [(5939 ^ _605816) ^ [] : [-(in(5935 ^ [_825929], _825929))], (5941 ^ _605816) ^ [] : [-(5936 ^ [_825929] = singleton(5935 ^ [_825929]))], (5943 ^ _605816) ^ [] : [-(5937 ^ [_825929] = singleton(5935 ^ [_825929]))], (5945 ^ _605816) ^ [] : [5936 ^ [_825929] = 5937 ^ [_825929]]], 5947 ^ _605816 : [(5948 ^ _605816) ^ [] : [-(in(5946 ^ [_825929], _825929))], (5950 ^ _605816) ^ [_826783] : [_826783 = singleton(5946 ^ [_825929])]], 5952 ^ _605816 : [(5953 ^ _605816) ^ [] : [-(relation(5951 ^ [_825929]))], (5955 ^ _605816) ^ [] : [-(function(5951 ^ [_825929]))], (5957 ^ _605816) ^ [] : [-(relation_dom(5951 ^ [_825929]) = _825929)], (5959 ^ _605816) ^ [_827155] : [in(_827155, _825929), -(apply(5951 ^ [_825929], _827155) = singleton(_827155))]]], (5965 ^ _605816) ^ [] : [6020 ^ _605816 : [(6021 ^ _605816) ^ [_829388] : [ordinal(_829388), in(_829388, omega), 6028 ^ _605816 : [(6029 ^ _605816) ^ [_829644] : [element(_829644, powerset(powerset(_829388))), -(_829644 = empty_set), 6037 ^ _605816 : [(6038 ^ _605816) ^ [] : [-(in(6036 ^ [_829388, _829644], _829644))], (6040 ^ _605816) ^ [_830043] : [-(_830043 = 6036 ^ [_829388, _829644]), in(_830043, _829644), subset(6036 ^ [_829388, _829644], _830043)]]]]]], 5967 ^ _605816 : [(5968 ^ _605816) ^ [] : [-(ordinal(5966 ^ []))], (6003 ^ _605816) ^ [] : [-(in(5966 ^ [], omega))], (6006 ^ _605816) ^ [] : [-(element(6004 ^ [], powerset(powerset(5966 ^ []))))], (6008 ^ _605816) ^ [] : [6004 ^ [] = empty_set], (6010 ^ _605816) ^ [_828983] : [in(_828983, 6004 ^ []), 6014 ^ _605816 : [(6015 ^ _605816) ^ [] : [-(in(6013 ^ [_828983], 6004 ^ []))], (6017 ^ _605816) ^ [] : [-(subset(_828983, 6013 ^ [_828983]))], (6019 ^ _605816) ^ [] : [6013 ^ [_828983] = _828983]]], (5970 ^ _605816) ^ [_827675] : [ordinal(_827675), in(_827675, 5966 ^ []), in(_827675, omega), 5981 ^ _605816 : [(5982 ^ _605816) ^ [_828012] : [element(_828012, powerset(powerset(_827675))), -(_828012 = empty_set), 5990 ^ _605816 : [(5991 ^ _605816) ^ [] : [-(in(5989 ^ [_827675, _828012], _828012))], (5993 ^ _605816) ^ [_828411] : [-(_828411 = 5989 ^ [_827675, _828012]), in(_828411, _828012), subset(5989 ^ [_827675, _828012], _828411)]]]]]]], (6051 ^ _605816) ^ [_830474] : [-(relation(6049 ^ [_830474]))], (6053 ^ _605816) ^ [_830542] : [-(function(6049 ^ [_830542]))], (6055 ^ _605816) ^ [_830610] : [-(relation_dom(6049 ^ [_830610]) = _830610)], (6057 ^ _605816) ^ [_830690, _830692] : [in(_830690, _830692), -(apply(6049 ^ [_830692], _830690) = singleton(_830690))], (6063 ^ _605816) ^ [_830926, _830928] : [disjoint(_830928, _830926), -(disjoint(_830926, _830928))], (6069 ^ _605816) ^ [_831136, _831138] : [equipotent(_831138, _831136), -(equipotent(_831136, _831138))], (6075 ^ _605816) ^ [_831403, _831405, _831407, _831409] : [in(ordered_pair(_831409, _831407), cartesian_product2(_831405, _831403)), 6078 ^ _605816 : [(6079 ^ _605816) ^ [] : [-(in(_831409, _831405))], (6081 ^ _605816) ^ [] : [-(in(_831407, _831403))]]], (6083 ^ _605816) ^ [_831668, _831670, _831672, _831674] : [-(in(ordered_pair(_831674, _831672), cartesian_product2(_831670, _831668))), in(_831674, _831670), in(_831672, _831668)], (6093 ^ _605816) ^ [_831972] : [-(in(_831972, succ(_831972)))], (6095 ^ _605816) ^ [_832109, _832111, _832113, _832115] : [unordered_pair(_832115, _832113) = unordered_pair(_832111, _832109), -(_832115 = _832111), -(_832115 = _832109)], (6105 ^ _605816) ^ [_832459, _832461, _832463] : [relation(_832459), 6108 ^ _605816 : [(6109 ^ _605816) ^ [] : [in(_832463, relation_rng(relation_rng_restriction(_832461, _832459))), 6112 ^ _605816 : [(6113 ^ _605816) ^ [] : [-(in(_832463, _832461))], (6115 ^ _605816) ^ [] : [-(in(_832463, relation_rng(_832459)))]]], (6117 ^ _605816) ^ [] : [-(in(_832463, relation_rng(relation_rng_restriction(_832461, _832459)))), in(_832463, _832461), in(_832463, relation_rng(_832459))]]], (6127 ^ _605816) ^ [_833118, _833120] : [relation(_833118), -(subset(relation_rng(relation_rng_restriction(_833120, _833118)), _833120))], (6133 ^ _605816) ^ [_833336, _833338] : [relation(_833336), -(subset(relation_rng_restriction(_833338, _833336), _833336))], (6139 ^ _605816) ^ [_833550, _833552] : [relation(_833550), -(subset(relation_rng(relation_rng_restriction(_833552, _833550)), relation_rng(_833550)))], (6145 ^ _605816) ^ [_833786, _833788, _833790] : [subset(_833790, _833788), 6148 ^ _605816 : [(6149 ^ _605816) ^ [] : [-(subset(cartesian_product2(_833790, _833786), cartesian_product2(_833788, _833786)))], (6151 ^ _605816) ^ [] : [-(subset(cartesian_product2(_833786, _833790), cartesian_product2(_833786, _833788)))]]], (6153 ^ _605816) ^ [_834103, _834105] : [relation(_834103), -(relation_rng(relation_rng_restriction(_834105, _834103)) = set_intersection2(relation_rng(_834103), _834105))], (6159 ^ _605816) ^ [_834359, _834361, _834363, _834365] : [-(subset(cartesian_product2(_834365, _834361), cartesian_product2(_834363, _834359))), subset(_834365, _834363), subset(_834361, _834359)], (6169 ^ _605816) ^ [_834704, _834706, _834708] : [relation_of2_as_subset(_834704, _834708, _834706), 6172 ^ _605816 : [(6173 ^ _605816) ^ [] : [-(subset(relation_dom(_834704), _834708))], (6175 ^ _605816) ^ [] : [-(subset(relation_rng(_834704), _834706))]]], (6177 ^ _605816) ^ [_835007, _835009] : [subset(_835009, _835007), -(set_union2(_835009, _835007) = _835007)], (6184 ^ _605816) ^ [_835329] : [-(in(_835329, 6182 ^ [_835329]))], (6186 ^ _605816) ^ [_835441, _835443, _835445] : [-(in(_835441, 6182 ^ [_835445])), in(_835443, 6182 ^ [_835445]), subset(_835441, _835443)], (6196 ^ _605816) ^ [_835756, _835758] : [in(_835756, 6182 ^ [_835758]), -(in(powerset(_835756), 6182 ^ [_835758]))], (6202 ^ _605816) ^ [_835956, _835958] : [subset(_835956, 6182 ^ [_835958]), -(are_equipotent(_835956, 6182 ^ [_835958])), -(in(_835956, 6182 ^ [_835958]))], (6212 ^ _605816) ^ [_836296, _836298] : [-(finite(_836298)), subset(_836298, _836296), finite(_836296)], (6222 ^ _605816) ^ [_836605, _836607, _836609] : [relation(_836605), -(relation_dom_restriction(relation_rng_restriction(_836609, _836605), _836607) = relation_rng_restriction(_836609, relation_dom_restriction(_836605, _836607)))], (6228 ^ _605816) ^ [_836857, _836859, _836861] : [relation(_836857), 6231 ^ _605816 : [(6232 ^ _605816) ^ [] : [in(_836861, relation_image(_836857, _836859)), 6236 ^ _605816 : [(6237 ^ _605816) ^ [] : [-(in(6235 ^ [_836857, _836859, _836861], relation_dom(_836857)))], (6239 ^ _605816) ^ [] : [-(in(ordered_pair(6235 ^ [_836857, _836859, _836861], _836861), _836857))], (6241 ^ _605816) ^ [] : [-(in(6235 ^ [_836857, _836859, _836861], _836859))]]], (6243 ^ _605816) ^ [] : [-(in(_836861, relation_image(_836857, _836859))), 6244 ^ _605816 : [(6245 ^ _605816) ^ [_837458] : [in(_837458, relation_dom(_836857)), in(ordered_pair(_837458, _836861), _836857), in(_837458, _836859)]]]]], (6257 ^ _605816) ^ [_837855, _837857] : [relation(_837855), -(subset(relation_image(_837855, _837857), relation_rng(_837855)))], (6263 ^ _605816) ^ [_838073, _838075] : [-(subset(relation_image(_838073, relation_inverse_image(_838073, _838075)), _838075)), relation(_838073), function(_838073)], (6273 ^ _605816) ^ [_838380, _838382] : [relation(_838380), -(relation_image(_838380, _838382) = relation_image(_838380, set_intersection2(relation_dom(_838380), _838382)))], (6279 ^ _605816) ^ [_838610, _838612] : [relation(_838610), subset(_838612, relation_dom(_838610)), -(subset(_838612, relation_inverse_image(_838610, relation_image(_838610, _838612))))], (6289 ^ _605816) ^ [_838909] : [relation(_838909), -(relation_image(_838909, relation_dom(_838909)) = relation_rng(_838909))], (6295 ^ _605816) ^ [_839125, _839127] : [relation(_839125), function(_839125), subset(_839127, relation_rng(_839125)), -(relation_image(_839125, relation_inverse_image(_839125, _839127)) = _839127)], (6309 ^ _605816) ^ [_839555, _839557, _839559, _839561] : [relation_of2_as_subset(_839555, _839557, _839561), subset(relation_rng(_839555), _839559), -(relation_of2_as_subset(_839555, _839557, _839559))], (6319 ^ _605816) ^ [_839882, _839884] : [finite(_839884), -(finite(set_intersection2(_839884, _839882)))], (6325 ^ _605816) ^ [_840080] : [relation(_840080), 6328 ^ _605816 : [(6329 ^ _605816) ^ [_840220] : [relation(_840220), -(relation_rng(relation_composition(_840080, _840220)) = relation_image(_840220, relation_rng(_840080)))]]], (6335 ^ _605816) ^ [_840469, _840471, _840473] : [relation(_840469), 6338 ^ _605816 : [(6339 ^ _605816) ^ [] : [in(_840473, relation_inverse_image(_840469, _840471)), 6343 ^ _605816 : [(6344 ^ _605816) ^ [] : [-(in(6342 ^ [_840469, _840471, _840473], relation_rng(_840469)))], (6346 ^ _605816) ^ [] : [-(in(ordered_pair(_840473, 6342 ^ [_840469, _840471, _840473]), _840469))], (6348 ^ _605816) ^ [] : [-(in(6342 ^ [_840469, _840471, _840473], _840471))]]], (6350 ^ _605816) ^ [] : [-(in(_840473, relation_inverse_image(_840469, _840471))), 6351 ^ _605816 : [(6352 ^ _605816) ^ [_841070] : [in(_841070, relation_rng(_840469)), in(ordered_pair(_840473, _841070), _840469), in(_841070, _840471)]]]]], (6364 ^ _605816) ^ [_841467, _841469] : [relation(_841467), -(subset(relation_inverse_image(_841467, _841469), relation_dom(_841467)))], (6370 ^ _605816) ^ [_841713, _841715, _841717, _841719] : [relation_of2_as_subset(_841713, _841715, _841719), subset(_841719, _841717), -(relation_of2_as_subset(_841713, _841715, _841717))], (6380 ^ _605816) ^ [_842050, _842052, _842054] : [relation(_842050), 6383 ^ _605816 : [(6384 ^ _605816) ^ [] : [in(_842054, relation_restriction(_842050, _842052)), 6387 ^ _605816 : [(6388 ^ _605816) ^ [] : [-(in(_842054, _842050))], (6390 ^ _605816) ^ [] : [-(in(_842054, cartesian_product2(_842052, _842052)))]]], (6392 ^ _605816) ^ [] : [-(in(_842054, relation_restriction(_842050, _842052))), in(_842054, _842050), in(_842054, cartesian_product2(_842052, _842052))]]], (6402 ^ _605816) ^ [_842706, _842708] : [relation(_842706), -(_842708 = empty_set), subset(_842708, relation_rng(_842706)), relation_inverse_image(_842706, _842708) = empty_set], (6416 ^ _605816) ^ [_843120, _843122, _843124] : [relation(_843120), subset(_843124, _843122), -(subset(relation_inverse_image(_843120, _843124), relation_inverse_image(_843120, _843122)))], (6426 ^ _605816) ^ [_843439, _843441] : [relation(_843439), function(_843439), finite(_843441), -(finite(relation_image(_843439, _843441)))], (6440 ^ _605816) ^ [_843827, _843829] : [relation(_843827), -(relation_restriction(_843827, _843829) = relation_dom_restriction(relation_rng_restriction(_843829, _843827), _843829))], (6446 ^ _605816) ^ [_844038, _844040] : [-(subset(set_intersection2(_844040, _844038), _844040))], (6448 ^ _605816) ^ [_844136] : [finite(_844136), 6451 ^ _605816 : [(6452 ^ _605816) ^ [_844311] : [element(_844311, powerset(powerset(_844136))), -(_844311 = empty_set), 6460 ^ _605816 : [(6461 ^ _605816) ^ [] : [-(in(6459 ^ [_844136, _844311], _844311))], (6463 ^ _605816) ^ [_844710] : [-(_844710 = 6459 ^ [_844136, _844311]), in(_844710, _844311), subset(6459 ^ [_844136, _844311], _844710)]]]]], (6473 ^ _605816) ^ [_845067, _845069] : [relation(_845067), -(relation_restriction(_845067, _845069) = relation_rng_restriction(_845069, relation_dom_restriction(_845067, _845069)))], (6479 ^ _605816) ^ [_845307, _845309, _845311] : [relation(_845307), in(_845311, relation_field(relation_restriction(_845307, _845309))), 6486 ^ _605816 : [(6487 ^ _605816) ^ [] : [-(in(_845311, relation_field(_845307)))], (6489 ^ _605816) ^ [] : [-(in(_845311, _845309))]]], (6491 ^ _605816) ^ [_845719, _845721, _845723] : [-(subset(_845723, set_intersection2(_845721, _845719))), subset(_845723, _845721), subset(_845723, _845719)], (6501 ^ _605816) ^ [_846005] : [-(set_union2(_846005, empty_set) = _846005)], (6503 ^ _605816) ^ [_846115, _846117] : [in(_846117, _846115), -(element(_846117, _846115))], (6509 ^ _605816) ^ [_846339, _846341, _846343] : [-(subset(_846343, _846339)), subset(_846343, _846341), subset(_846341, _846339)], (6519 ^ _605816) ^ [] : [-(powerset(empty_set) = singleton(empty_set))], (6521 ^ _605816) ^ [_846715, _846717, _846719] : [relation(_846715), in(ordered_pair(_846719, _846717), _846715), 6528 ^ _605816 : [(6529 ^ _605816) ^ [] : [-(in(_846719, relation_dom(_846715)))], (6531 ^ _605816) ^ [] : [-(in(_846717, relation_rng(_846715)))]]], (6533 ^ _605816) ^ [_847113, _847115] : [relation(_847113), 6536 ^ _605816 : [(6537 ^ _605816) ^ [] : [-(subset(relation_field(relation_restriction(_847113, _847115)), relation_field(_847113)))], (6539 ^ _605816) ^ [] : [-(subset(relation_field(relation_restriction(_847113, _847115)), _847115))]]], (6541 ^ _605816) ^ [_847420, _847422] : [relation(_847420), function(_847420), 6548 ^ _605816 : [(6549 ^ _605816) ^ [_847670] : [relation(_847670), function(_847670), 6556 ^ _605816 : [(6557 ^ _605816) ^ [] : [in(_847422, relation_dom(relation_composition(_847670, _847420))), 6560 ^ _605816 : [(6561 ^ _605816) ^ [] : [-(in(_847422, relation_dom(_847670)))], (6563 ^ _605816) ^ [] : [-(in(apply(_847670, _847422), relation_dom(_847420)))]]], (6565 ^ _605816) ^ [] : [-(in(_847422, relation_dom(relation_composition(_847670, _847420)))), in(_847422, relation_dom(_847670)), in(apply(_847670, _847422), relation_dom(_847420))]]]]], (6575 ^ _605816) ^ [_848476, _848478, _848480, _848482] : [function(_848476), quasi_total(_848476, _848482, _848480), relation_of2_as_subset(_848476, _848482, _848480), 6586 ^ _605816 : [(6587 ^ _605816) ^ [_848845] : [relation(_848845), function(_848845), in(_848478, _848482), -(_848480 = empty_set), -(apply(relation_composition(_848476, _848845), _848478) = apply(_848845, apply(_848476, _848478)))]]], (6605 ^ _605816) ^ [_849402] : [epsilon_transitive(_849402), 6608 ^ _605816 : [(6609 ^ _605816) ^ [_849538] : [ordinal(_849538), proper_subset(_849402, _849538), -(in(_849402, _849538))]]], (6619 ^ _605816) ^ [_849828] : [relation(_849828), -(subset(_849828, cartesian_product2(relation_dom(_849828), relation_rng(_849828))))], (6625 ^ _605816) ^ [_850058, _850060, _850062] : [relation(_850058), -(subset(fiber(relation_restriction(_850058, _850062), _850060), fiber(_850058, _850060)))], (6631 ^ _605816) ^ [_850290, _850292] : [relation(_850290), function(_850290), 6638 ^ _605816 : [(6639 ^ _605816) ^ [_850539] : [relation(_850539), function(_850539), in(_850292, relation_dom(relation_composition(_850539, _850290))), -(apply(relation_composition(_850539, _850290), _850292) = apply(_850290, apply(_850539, _850292)))]]], (6653 ^ _605816) ^ [_850998, _851000, _851002] : [relation_of2_as_subset(_850998, _851000, _851002), 6656 ^ _605816 : [(6657 ^ _605816) ^ [] : [6659 ^ _605816 : [(6660 ^ _605816) ^ [] : [-(in(6658 ^ [_850998, _851000, _851002], _851000))], (6662 ^ _605816) ^ [_851356] : [in(ordered_pair(6658 ^ [_850998, _851000, _851002], _851356), _850998)]], -(relation_dom_as_subset(_851000, _851002, _850998) = _851000)], (6666 ^ _605816) ^ [] : [relation_dom_as_subset(_851000, _851002, _850998) = _851000, 6669 ^ _605816 : [(6670 ^ _605816) ^ [_851593] : [in(_851593, _851000), -(in(ordered_pair(_851593, 6673 ^ [_850998, _851000, _851002, _851593]), _850998))]]]]], (6677 ^ _605816) ^ [_851915, _851917] : [relation(_851915), reflexive(_851915), -(reflexive(relation_restriction(_851915, _851917)))], (6687 ^ _605816) ^ [_852214, _852216] : [relation(_852214), function(_852214), 6694 ^ _605816 : [(6695 ^ _605816) ^ [_852460] : [relation(_852460), function(_852460), in(_852216, relation_dom(_852214)), -(apply(relation_composition(_852214, _852460), _852216) = apply(_852460, apply(_852214, _852216)))]]], (6709 ^ _605816) ^ [_852899, _852901] : [ordinal(_852899), in(_852901, _852899), -(ordinal(_852901))], (6719 ^ _605816) ^ [_853208, _853210, _853212] : [relation_of2_as_subset(_853208, _853212, _853210), 6722 ^ _605816 : [(6723 ^ _605816) ^ [] : [6725 ^ _605816 : [(6726 ^ _605816) ^ [] : [-(in(6724 ^ [_853208, _853210, _853212], _853210))], (6728 ^ _605816) ^ [_853566] : [in(ordered_pair(_853566, 6724 ^ [_853208, _853210, _853212]), _853208)]], -(relation_rng_as_subset(_853212, _853210, _853208) = _853210)], (6732 ^ _605816) ^ [] : [relation_rng_as_subset(_853212, _853210, _853208) = _853210, 6735 ^ _605816 : [(6736 ^ _605816) ^ [_853803] : [in(_853803, _853210), -(in(ordered_pair(6739 ^ [_853208, _853210, _853212, _853803], _853803), _853208))]]]]], (6743 ^ _605816) ^ [_854125, _854127] : [relation(_854125), connected(_854125), -(connected(relation_restriction(_854125, _854127)))], (6753 ^ _605816) ^ [_854410] : [ordinal(_854410), 6756 ^ _605816 : [(6757 ^ _605816) ^ [_854560] : [ordinal(_854560), -(in(_854410, _854560)), -(_854410 = _854560), -(in(_854560, _854410))]]], (6771 ^ _605816) ^ [_854963, _854965] : [relation(_854963), transitive(_854963), -(transitive(relation_restriction(_854963, _854965)))], (6781 ^ _605816) ^ [_855248] : [relation(_855248), 6784 ^ _605816 : [(6785 ^ _605816) ^ [_855398] : [relation(_855398), subset(_855248, _855398), 6792 ^ _605816 : [(6793 ^ _605816) ^ [] : [-(subset(relation_dom(_855248), relation_dom(_855398)))], (6795 ^ _605816) ^ [] : [-(subset(relation_rng(_855248), relation_rng(_855398)))]]]]], (6797 ^ _605816) ^ [_855793, _855795] : [relation(_855793), antisymmetric(_855793), -(antisymmetric(relation_restriction(_855793, _855795)))], (6807 ^ _605816) ^ [_856092, _856094] : [relation(_856092), well_orders(_856092, _856094), 6814 ^ _605816 : [(6815 ^ _605816) ^ [] : [-(relation_field(relation_restriction(_856092, _856094)) = _856094)], (6817 ^ _605816) ^ [] : [-(well_ordering(relation_restriction(_856092, _856094)))]]], (6820 ^ _605816) ^ [_856513] : [-(relation(6818 ^ [_856513]))], (6822 ^ _605816) ^ [_856561] : [-(well_orders(6818 ^ [_856561], _856561))], (6824 ^ _605816) ^ [_856689, _856691, _856693] : [subset(_856693, _856691), -(subset(set_intersection2(_856693, _856689), set_intersection2(_856691, _856689)))], (6830 ^ _605816) ^ [_856903] : [-(empty(_856903)), 6836 ^ _605816 : [(6837 ^ _605816) ^ [] : [-(in(6835 ^ [_856903], _856903))], (6839 ^ _605816) ^ [] : [-(6835 ^ [_856903] = empty_set)]], 6841 ^ _605816 : [(6842 ^ _605816) ^ [] : [-(relation(6840 ^ [_856903]))], (6844 ^ _605816) ^ [] : [-(function(6840 ^ [_856903]))], (6846 ^ _605816) ^ [] : [-(relation_dom(6840 ^ [_856903]) = _856903)], (6848 ^ _605816) ^ [_857571] : [in(_857571, _856903), -(in(apply(6840 ^ [_856903], _857571), _857571))]]], (6854 ^ _605816) ^ [_857815, _857817] : [subset(_857817, _857815), -(set_intersection2(_857817, _857815) = _857817)], (6860 ^ _605816) ^ [_858002] : [-(set_intersection2(_858002, empty_set) = empty_set)], (6862 ^ _605816) ^ [_858112, _858114] : [element(_858114, _858112), -(empty(_858112)), -(in(_858114, _858112))], (6872 ^ _605816) ^ [_858410, _858412] : [-(_858412 = _858410), 6876 ^ _605816 : [(6877 ^ _605816) ^ [] : [-(in(6873 ^ [_858410, _858412], _858412))], (6879 ^ _605816) ^ [] : [in(6873 ^ [_858410, _858412], _858410)]], 6880 ^ _605816 : [(6881 ^ _605816) ^ [] : [-(in(6873 ^ [_858410, _858412], _858410))], (6883 ^ _605816) ^ [] : [in(6873 ^ [_858410, _858412], _858412)]]], (6887 ^ _605816) ^ [_858911] : [-(reflexive(inclusion_relation(_858911)))], (6889 ^ _605816) ^ [_858990] : [-(subset(empty_set, _858990))], (6891 ^ _605816) ^ [_859111, _859113, _859115] : [relation(_859111), in(ordered_pair(_859115, _859113), _859111), 6898 ^ _605816 : [(6899 ^ _605816) ^ [] : [-(in(_859115, relation_field(_859111)))], (6901 ^ _605816) ^ [] : [-(in(_859113, relation_field(_859111)))]]], (6903 ^ _605816) ^ [_859495] : [-(ordinal(_859495)), 6905 ^ _605816 : [(6906 ^ _605816) ^ [] : [-(in(6904 ^ [_859495], _859495))], (6908 ^ _605816) ^ [] : [ordinal(6904 ^ [_859495]), subset(6904 ^ [_859495], _859495)]]], (6916 ^ _605816) ^ [_859925, _859927] : [relation(_859925), well_founded_relation(_859925), -(well_founded_relation(relation_restriction(_859925, _859927)))], (6926 ^ _605816) ^ [_860224, _860226] : [ordinal(_860224), subset(_860226, _860224), -(_860226 = empty_set), 6938 ^ _605816 : [(6939 ^ _605816) ^ [] : [-(ordinal(6937 ^ [_860224, _860226]))], (6941 ^ _605816) ^ [] : [-(in(6937 ^ [_860224, _860226], _860226))], (6943 ^ _605816) ^ [_860776] : [ordinal(_860776), in(_860776, _860226), -(ordinal_subset(6937 ^ [_860224, _860226], _860776))]]], (6953 ^ _605816) ^ [_861118, _861120] : [relation(_861118), well_ordering(_861118), -(well_ordering(relation_restriction(_861118, _861120)))], (6963 ^ _605816) ^ [_861403] : [ordinal(_861403), 6966 ^ _605816 : [(6967 ^ _605816) ^ [_861541] : [ordinal(_861541), 6970 ^ _605816 : [(6971 ^ _605816) ^ [] : [in(_861403, _861541), -(ordinal_subset(succ(_861403), _861541))], (6977 ^ _605816) ^ [] : [ordinal_subset(succ(_861403), _861541), -(in(_861403, _861541))]]]]], (6983 ^ _605816) ^ [_862026, _862028, _862030] : [subset(_862030, _862028), -(subset(set_difference(_862030, _862026), set_difference(_862028, _862026)))], (6989 ^ _605816) ^ [_862282, _862284, _862286, _862288] : [ordered_pair(_862288, _862286) = ordered_pair(_862284, _862282), 6992 ^ _605816 : [(6993 ^ _605816) ^ [] : [-(_862288 = _862284)], (6995 ^ _605816) ^ [] : [-(_862286 = _862282)]]], (6997 ^ _605816) ^ [_862595, _862597] : [relation(_862595), function(_862595), 7004 ^ _605816 : [(7005 ^ _605816) ^ [] : [_862595 = identity_relation(_862597), 7008 ^ _605816 : [(7009 ^ _605816) ^ [] : [-(relation_dom(_862595) = _862597)], (7011 ^ _605816) ^ [_863014] : [in(_863014, _862597), -(apply(_862595, _863014) = _863014)]]], (7017 ^ _605816) ^ [] : [-(_862595 = identity_relation(_862597)), relation_dom(_862595) = _862597, 7023 ^ _605816 : [(7024 ^ _605816) ^ [] : [-(in(7022 ^ [_862595, _862597], _862597))], (7026 ^ _605816) ^ [] : [apply(_862595, 7022 ^ [_862595, _862597]) = 7022 ^ [_862595, _862597]]]]]], (7030 ^ _605816) ^ [_863619, _863621] : [in(_863619, _863621), -(apply(identity_relation(_863621), _863619) = _863619)], (7036 ^ _605816) ^ [_863824, _863826] : [-(subset(set_difference(_863826, _863824), _863826))], (7038 ^ _605816) ^ [_863922] : [relation(_863922), 7041 ^ _605816 : [(7042 ^ _605816) ^ [] : [-(relation_rng(_863922) = relation_dom(relation_inverse(_863922)))], (7044 ^ _605816) ^ [] : [-(relation_dom(_863922) = relation_rng(relation_inverse(_863922)))]]], (7046 ^ _605816) ^ [_864250, _864252] : [set_difference(_864252, _864250) = empty_set, -(subset(_864252, _864250))], (7052 ^ _605816) ^ [_864418, _864420] : [subset(_864420, _864418), -(set_difference(_864420, _864418) = empty_set)], (7058 ^ _605816) ^ [_864665, _864667] : [subset(singleton(_864667), _864665), -(in(_864667, _864665))], (7064 ^ _605816) ^ [_864831, _864833] : [in(_864833, _864831), -(subset(singleton(_864833), _864831))], (7070 ^ _605816) ^ [_865090, _865092, _865094] : [subset(unordered_pair(_865094, _865092), _865090), 7073 ^ _605816 : [(7074 ^ _605816) ^ [] : [-(in(_865094, _865090))], (7076 ^ _605816) ^ [] : [-(in(_865092, _865090))]]], (7078 ^ _605816) ^ [_865341, _865343, _865345] : [-(subset(unordered_pair(_865345, _865343), _865341)), in(_865345, _865341), in(_865343, _865341)], (7088 ^ _605816) ^ [_865658, _865660] : [relation(_865658), -(relation_field(relation_restriction(_865658, _865660)) = _865660), well_ordering(_865658), subset(_865660, relation_field(_865658))], (7102 ^ _605816) ^ [_866041, _866043] : [-(set_union2(_866043, set_difference(_866041, _866043)) = set_union2(_866043, _866041))], (7114 ^ _605816) ^ [_866448, _866450] : [7115 ^ _605816 : [(7116 ^ _605816) ^ [] : [_866450 = empty_set], (7118 ^ _605816) ^ [] : [_866450 = singleton(_866448)]], -(subset(_866450, singleton(_866448)))], (7104 ^ _605816) ^ [_866188, _866190] : [subset(_866190, singleton(_866188)), -(_866190 = empty_set), -(_866190 = singleton(_866188))], (7122 ^ _605816) ^ [_866713] : [-(set_difference(_866713, empty_set) = _866713)], (7124 ^ _605816) ^ [_866837, _866839, _866841] : [in(_866841, _866839), in(_866839, _866837), in(_866837, _866841)], (7134 ^ _605816) ^ [_867174, _867176] : [element(_867176, powerset(_867174)), -(subset(_867176, _867174))], (7140 ^ _605816) ^ [_867340, _867342] : [subset(_867342, _867340), -(element(_867342, powerset(_867340)))], (7146 ^ _605816) ^ [_867527] : [-(transitive(inclusion_relation(_867527)))], (7148 ^ _605816) ^ [_867655, _867657] : [-(disjoint(_867657, _867655)), 7152 ^ _605816 : [(7153 ^ _605816) ^ [] : [-(in(7151 ^ [_867655, _867657], _867657))], (7155 ^ _605816) ^ [] : [-(in(7151 ^ [_867655, _867657], _867655))]]], (7157 ^ _605816) ^ [_867969, _867971] : [disjoint(_867971, _867969), 7158 ^ _605816 : [(7159 ^ _605816) ^ [_868061] : [in(_868061, _867971), in(_868061, _867969)]]], (7167 ^ _605816) ^ [_868318] : [subset(_868318, empty_set), -(_868318 = empty_set)], (7173 ^ _605816) ^ [_868507, _868509] : [-(set_difference(set_union2(_868509, _868507), _868507) = set_difference(_868509, _868507))], (7175 ^ _605816) ^ [_868611] : [ordinal(_868611), 7178 ^ _605816 : [(7193 ^ _605816) ^ [] : [7195 ^ _605816 : [(7196 ^ _605816) ^ [] : [-(ordinal(7194 ^ [_868611]))], (7198 ^ _605816) ^ [] : [-(in(7194 ^ [_868611], _868611))], (7200 ^ _605816) ^ [] : [in(succ(7194 ^ [_868611]), _868611)]], -(being_limit_ordinal(_868611))], (7179 ^ _605816) ^ [] : [being_limit_ordinal(_868611), 7182 ^ _605816 : [(7183 ^ _605816) ^ [_868857] : [ordinal(_868857), in(_868857, _868611), -(in(succ(_868857), _868611))]]]]], (7204 ^ _605816) ^ [_869483] : [ordinal(_869483), 7207 ^ _605816 : [(7208 ^ _605816) ^ [] : [-(being_limit_ordinal(_869483)), 7212 ^ _605816 : [(7213 ^ _605816) ^ [] : [-(ordinal(7211 ^ [_869483]))], (7215 ^ _605816) ^ [] : [-(_869483 = succ(7211 ^ [_869483]))]]], (7217 ^ _605816) ^ [] : [being_limit_ordinal(_869483), 7218 ^ _605816 : [(7219 ^ _605816) ^ [_869954] : [ordinal(_869954), _869483 = succ(_869954)]]]]], (7227 ^ _605816) ^ [_870221, _870223] : [element(_870221, powerset(_870223)), 7230 ^ _605816 : [(7231 ^ _605816) ^ [_870373] : [element(_870373, powerset(_870223)), 7234 ^ _605816 : [(7235 ^ _605816) ^ [] : [disjoint(_870221, _870373), -(subset(_870221, subset_complement(_870223, _870373)))], (7241 ^ _605816) ^ [] : [subset(_870221, subset_complement(_870223, _870373)), -(disjoint(_870221, _870373))]]]]], (7247 ^ _605816) ^ [_870857] : [relation(_870857), 7250 ^ _605816 : [(7251 ^ _605816) ^ [_870994] : [relation(_870994), -(subset(relation_dom(relation_composition(_870857, _870994)), relation_dom(_870857)))]]], (7257 ^ _605816) ^ [_871209] : [relation(_871209), 7260 ^ _605816 : [(7261 ^ _605816) ^ [_871346] : [relation(_871346), -(subset(relation_rng(relation_composition(_871209, _871346)), relation_rng(_871346)))]]], (7267 ^ _605816) ^ [_871575, _871577] : [subset(_871577, _871575), -(_871575 = set_union2(_871577, set_difference(_871575, _871577)))], (7273 ^ _605816) ^ [_871825, _871827, _871829, _871831] : [function(_871825), quasi_total(_871825, _871831, _871829), relation_of2_as_subset(_871825, _871831, _871829), -(_871829 = empty_set), 7288 ^ _605816 : [(7289 ^ _605816) ^ [_872303] : [in(_872303, relation_inverse_image(_871825, _871827)), 7292 ^ _605816 : [(7293 ^ _605816) ^ [] : [-(in(_872303, _871831))], (7295 ^ _605816) ^ [] : [-(in(apply(_871825, _872303), _871827))]]], (7297 ^ _605816) ^ [_872584] : [-(in(_872584, relation_inverse_image(_871825, _871827))), in(_872584, _871831), in(apply(_871825, _872584), _871827)]]], (7307 ^ _605816) ^ [_872934] : [relation(_872934), 7310 ^ _605816 : [(7311 ^ _605816) ^ [_873081] : [relation(_873081), subset(relation_rng(_872934), relation_dom(_873081)), -(relation_dom(relation_composition(_872934, _873081)) = relation_dom(_872934))]]], (7321 ^ _605816) ^ [_873407, _873409] : [element(_873407, powerset(powerset(_873409))), -(_873407 = empty_set), complements_of_subsets(_873409, _873407) = empty_set], (7331 ^ _605816) ^ [_873724, _873726] : [in(_873726, _873724), -(set_union2(singleton(_873726), _873724) = _873724)], (7337 ^ _605816) ^ [_873930] : [relation(_873930), 7340 ^ _605816 : [(7341 ^ _605816) ^ [_874077] : [relation(_874077), subset(relation_dom(_873930), relation_rng(_874077)), -(relation_rng(relation_composition(_874077, _873930)) = relation_rng(_873930))]]], (7351 ^ _605816) ^ [_874403, _874405] : [element(_874403, powerset(powerset(_874405))), -(_874403 = empty_set), -(subset_difference(_874405, cast_to_subset(_874405), union_of_subsets(_874405, _874403)) = meet_of_subsets(_874405, complements_of_subsets(_874405, _874403)))], (7361 ^ _605816) ^ [_874743, _874745] : [element(_874743, powerset(powerset(_874745))), -(_874743 = empty_set), -(union_of_subsets(_874745, complements_of_subsets(_874745, _874743)) = subset_difference(_874745, cast_to_subset(_874745), meet_of_subsets(_874745, _874743)))], (7371 ^ _605816) ^ [_875068, _875070] : [-(set_difference(_875070, set_difference(_875070, _875068)) = set_intersection2(_875070, _875068))], (7373 ^ _605816) ^ [_875172] : [relation(_875172), 7376 ^ _605816 : [(7377 ^ _605816) ^ [_875327] : [relation(_875327), 7380 ^ _605816 : [(7381 ^ _605816) ^ [_875478] : [relation(_875478), function(_875478), relation_isomorphism(_875172, _875327, _875478), -(relation_isomorphism(_875327, _875172, function_inverse(_875478)))]]]]], (7395 ^ _605816) ^ [_875871] : [-(set_difference(empty_set, _875871) = empty_set)], (7397 ^ _605816) ^ [_875995, _875997, _875999] : [-(element(_875999, _875995)), in(_875999, _875997), element(_875997, powerset(_875995))], (7407 ^ _605816) ^ [_876294] : [ordinal(_876294), -(connected(inclusion_relation(_876294)))], (7413 ^ _605816) ^ [_876518, _876520] : [-(disjoint(_876520, _876518)), -(in(7416 ^ [_876518, _876520], set_intersection2(_876520, _876518)))], (7420 ^ _605816) ^ [_876753, _876755] : [7421 ^ _605816 : [(7422 ^ _605816) ^ [_876826] : [in(_876826, set_intersection2(_876755, _876753))]], disjoint(_876755, _876753)], (7426 ^ _605816) ^ [_876978] : [-(_876978 = empty_set), 7429 ^ _605816 : [(7430 ^ _605816) ^ [_877138] : [element(_877138, powerset(_876978)), 7433 ^ _605816 : [(7434 ^ _605816) ^ [_877292] : [element(_877292, _876978), -(in(_877292, _877138)), -(in(_877292, subset_complement(_876978, _877138)))]]]]], (7444 ^ _605816) ^ [_877610] : [relation(_877610), 7447 ^ _605816 : [(7448 ^ _605816) ^ [_877806] : [relation(_877806), 7451 ^ _605816 : [(7452 ^ _605816) ^ [_877998] : [relation(_877998), function(_877998), relation_isomorphism(_877610, _877806, _877998), 7463 ^ _605816 : [(7464 ^ _605816) ^ [] : [reflexive(_877610), -(reflexive(_877806))], (7470 ^ _605816) ^ [] : [transitive(_877610), -(transitive(_877806))], (7476 ^ _605816) ^ [] : [connected(_877610), -(connected(_877806))], (7482 ^ _605816) ^ [] : [antisymmetric(_877610), -(antisymmetric(_877806))], (7488 ^ _605816) ^ [] : [well_founded_relation(_877610), -(well_founded_relation(_877806))]]]]]]], (7494 ^ _605816) ^ [_879150] : [relation(_879150), function(_879150), one_to_one(_879150), 7505 ^ _605816 : [(7506 ^ _605816) ^ [_879537] : [relation(_879537), function(_879537), 7513 ^ _605816 : [(7544 ^ _605816) ^ [] : [-(_879537 = function_inverse(_879150)), relation_dom(_879537) = relation_rng(_879150), 7553 ^ _605816 : [(7554 ^ _605816) ^ [] : [-(in(7549 ^ [_879150, _879537], relation_rng(_879150)))], (7556 ^ _605816) ^ [] : [-(7550 ^ [_879150, _879537] = apply(_879537, 7549 ^ [_879150, _879537]))], (7558 ^ _605816) ^ [] : [in(7550 ^ [_879150, _879537], relation_dom(_879150)), 7549 ^ [_879150, _879537] = apply(_879150, 7550 ^ [_879150, _879537])]], 7563 ^ _605816 : [(7564 ^ _605816) ^ [] : [-(in(7550 ^ [_879150, _879537], relation_dom(_879150)))], (7566 ^ _605816) ^ [] : [-(7549 ^ [_879150, _879537] = apply(_879150, 7550 ^ [_879150, _879537]))], (7568 ^ _605816) ^ [] : [in(7549 ^ [_879150, _879537], relation_rng(_879150)), 7550 ^ [_879150, _879537] = apply(_879537, 7549 ^ [_879150, _879537])]]], (7514 ^ _605816) ^ [] : [_879537 = function_inverse(_879150), 7517 ^ _605816 : [(7518 ^ _605816) ^ [] : [-(relation_dom(_879537) = relation_rng(_879150))], (7520 ^ _605816) ^ [_880054, _880056] : [7527 ^ _605816 : [(7528 ^ _605816) ^ [] : [-(in(_880054, relation_dom(_879150)))], (7530 ^ _605816) ^ [] : [-(_880056 = apply(_879150, _880054))]], in(_880056, relation_rng(_879150)), _880054 = apply(_879537, _880056)], (7532 ^ _605816) ^ [_880428, _880430] : [7539 ^ _605816 : [(7540 ^ _605816) ^ [] : [-(in(_880430, relation_rng(_879150)))], (7542 ^ _605816) ^ [] : [-(_880428 = apply(_879537, _880430))]], in(_880428, relation_dom(_879150)), _880430 = apply(_879150, _880428)]]]]]]], (7576 ^ _605816) ^ [_882003, _882005, _882007] : [element(_882003, powerset(_882007)), in(_882005, subset_complement(_882007, _882003)), in(_882005, _882003)], (7586 ^ _605816) ^ [_882309] : [relation(_882309), 7589 ^ _605816 : [(7590 ^ _605816) ^ [_882465] : [relation(_882465), 7593 ^ _605816 : [(7594 ^ _605816) ^ [_882617] : [relation(_882617), function(_882617), -(well_ordering(_882465)), well_ordering(_882309), relation_isomorphism(_882309, _882465, _882617)]]]]], (7612 ^ _605816) ^ [_883108] : [relation(_883108), function(_883108), one_to_one(_883108), 7623 ^ _605816 : [(7624 ^ _605816) ^ [] : [-(relation_rng(_883108) = relation_dom(function_inverse(_883108)))], (7626 ^ _605816) ^ [] : [-(relation_dom(_883108) = relation_rng(function_inverse(_883108)))]]], (7628 ^ _605816) ^ [_883561] : [relation(_883561), -(in(ordered_pair(7633 ^ [_883561], 7634 ^ [_883561]), _883561)), -(_883561 = empty_set)], (7640 ^ _605816) ^ [_883979, _883981] : [relation(_883979), function(_883979), 7655 ^ _605816 : [(7656 ^ _605816) ^ [] : [-(_883981 = apply(_883979, apply(function_inverse(_883979), _883981)))], (7658 ^ _605816) ^ [] : [-(_883981 = apply(relation_composition(function_inverse(_883979), _883979), _883981))]], one_to_one(_883979), in(_883981, relation_rng(_883979))], (7660 ^ _605816) ^ [_884577, _884579, _884581] : [in(_884581, _884579), element(_884579, powerset(_884577)), empty(_884577)], (7670 ^ _605816) ^ [_884873] : [relation(_884873), 7673 ^ _605816 : [(7674 ^ _605816) ^ [] : [well_founded_relation(_884873), -(is_well_founded_in(_884873, relation_field(_884873)))], (7680 ^ _605816) ^ [] : [is_well_founded_in(_884873, relation_field(_884873)), -(well_founded_relation(_884873))]]], (7686 ^ _605816) ^ [_885289] : [-(antisymmetric(inclusion_relation(_885289)))], (7688 ^ _605816) ^ [] : [-(relation_dom(empty_set) = empty_set)], (7690 ^ _605816) ^ [] : [-(relation_rng(empty_set) = empty_set)], (7692 ^ _605816) ^ [_885505, _885507] : [subset(_885507, _885505), proper_subset(_885505, _885507)], (7698 ^ _605816) ^ [_885700] : [relation(_885700), function(_885700), one_to_one(_885700), -(one_to_one(function_inverse(_885700)))], (7712 ^ _605816) ^ [_886086, _886088, _886090] : [-(disjoint(_886090, _886086)), subset(_886090, _886088), disjoint(_886088, _886086)], (7722 ^ _605816) ^ [_886381] : [relation(_886381), 7727 ^ _605816 : [(7728 ^ _605816) ^ [] : [relation_dom(_886381) = empty_set], (7730 ^ _605816) ^ [] : [relation_rng(_886381) = empty_set]], -(_886381 = empty_set)], (7734 ^ _605816) ^ [_886734] : [relation(_886734), 7737 ^ _605816 : [(7738 ^ _605816) ^ [] : [relation_dom(_886734) = empty_set, -(relation_rng(_886734) = empty_set)], (7744 ^ _605816) ^ [] : [relation_rng(_886734) = empty_set, -(relation_dom(_886734) = empty_set)]]], (7750 ^ _605816) ^ [_887217, _887219] : [set_difference(_887219, singleton(_887217)) = _887219, in(_887217, _887219)], (7756 ^ _605816) ^ [_887390, _887392] : [-(in(_887390, _887392)), -(set_difference(_887392, singleton(_887390)) = _887392)], (7762 ^ _605816) ^ [_887615, _887617] : [relation(_887615), function(_887615), 7769 ^ _605816 : [(7770 ^ _605816) ^ [_887882] : [relation(_887882), function(_887882), 7777 ^ _605816 : [(7778 ^ _605816) ^ [] : [_887615 = relation_dom_restriction(_887882, _887617), 7781 ^ _605816 : [(7782 ^ _605816) ^ [] : [-(relation_dom(_887615) = set_intersection2(relation_dom(_887882), _887617))], (7784 ^ _605816) ^ [_888336] : [in(_888336, relation_dom(_887615)), -(apply(_887615, _888336) = apply(_887882, _888336))]]], (7790 ^ _605816) ^ [] : [-(_887615 = relation_dom_restriction(_887882, _887617)), relation_dom(_887615) = set_intersection2(relation_dom(_887882), _887617), 7796 ^ _605816 : [(7797 ^ _605816) ^ [] : [-(in(7795 ^ [_887615, _887617, _887882], relation_dom(_887615)))], (7799 ^ _605816) ^ [] : [apply(_887615, 7795 ^ [_887615, _887617, _887882]) = apply(_887882, 7795 ^ [_887615, _887617, _887882])]]]]]]], (7803 ^ _605816) ^ [_888975] : [-(unordered_pair(_888975, _888975) = singleton(_888975))], (7805 ^ _605816) ^ [_889073] : [empty(_889073), -(_889073 = empty_set)], (7811 ^ _605816) ^ [_889303, _889305, _889307, _889309] : [function(_889303), quasi_total(_889303, _889309, _889307), relation_of2_as_subset(_889303, _889309, _889307), in(_889305, _889309), -(_889307 = empty_set), -(in(apply(_889303, _889305), relation_rng(_889303)))], (7833 ^ _605816) ^ [_889916] : [ordinal(_889916), -(well_founded_relation(inclusion_relation(_889916)))], (7839 ^ _605816) ^ [_890120, _890122] : [subset(singleton(_890122), singleton(_890120)), -(_890122 = _890120)], (7845 ^ _605816) ^ [_890352, _890354, _890356] : [relation(_890352), function(_890352), in(_890354, relation_dom(relation_dom_restriction(_890352, _890356))), -(apply(relation_dom_restriction(_890352, _890356), _890354) = apply(_890352, _890354))], (7859 ^ _605816) ^ [_890771] : [-(relation_dom(identity_relation(_890771)) = _890771)], (7861 ^ _605816) ^ [_890819] : [-(relation_rng(identity_relation(_890819)) = _890819)], (7863 ^ _605816) ^ [_890946, _890948, _890950] : [relation(_890946), function(_890946), in(_890948, _890950), -(apply(relation_dom_restriction(_890946, _890950), _890948) = apply(_890946, _890948))], (7877 ^ _605816) ^ [_891392, _891394, _891396, _891398] : [relation(_891392), 7880 ^ _605816 : [(7881 ^ _605816) ^ [] : [in(ordered_pair(_891398, _891396), relation_composition(identity_relation(_891394), _891392)), 7884 ^ _605816 : [(7885 ^ _605816) ^ [] : [-(in(_891398, _891394))], (7887 ^ _605816) ^ [] : [-(in(ordered_pair(_891398, _891396), _891392))]]], (7889 ^ _605816) ^ [] : [-(in(ordered_pair(_891398, _891396), relation_composition(identity_relation(_891394), _891392))), in(_891398, _891394), in(ordered_pair(_891398, _891396), _891392)]]], (7899 ^ _605816) ^ [_892085, _892087] : [in(_892087, _892085), empty(_892085)], (7905 ^ _605816) ^ [_892297, _892299] : [-(pair_first(ordered_pair(_892299, _892297)) = _892299)], (7907 ^ _605816) ^ [_892348, _892350] : [-(pair_second(ordered_pair(_892350, _892348)) = _892348)], (7909 ^ _605816) ^ [_892464, _892466] : [in(_892466, _892464), 7913 ^ _605816 : [(7914 ^ _605816) ^ [] : [-(in(7912 ^ [_892464, _892466], _892464))], (7916 ^ _605816) ^ [_892755] : [in(_892755, _892464), in(_892755, 7912 ^ [_892464, _892466])]]], (7922 ^ _605816) ^ [_892981] : [ordinal(_892981), -(well_ordering(inclusion_relation(_892981)))], (7928 ^ _605816) ^ [_893170, _893172] : [-(subset(_893172, set_union2(_893172, _893170)))], (7930 ^ _605816) ^ [_893311, _893313] : [disjoint(_893313, _893311), -(set_difference(_893313, _893311) = _893313)], (7936 ^ _605816) ^ [_893479, _893481] : [set_difference(_893481, _893479) = _893481, -(disjoint(_893481, _893479))], (7942 ^ _605816) ^ [_893711, _893713, _893715] : [relation(_893711), 7945 ^ _605816 : [(7946 ^ _605816) ^ [] : [in(_893715, relation_dom(relation_dom_restriction(_893711, _893713))), 7949 ^ _605816 : [(7950 ^ _605816) ^ [] : [-(in(_893715, _893713))], (7952 ^ _605816) ^ [] : [-(in(_893715, relation_dom(_893711)))]]], (7954 ^ _605816) ^ [] : [-(in(_893715, relation_dom(relation_dom_restriction(_893711, _893713)))), in(_893715, _893713), in(_893715, relation_dom(_893711))]]], (7964 ^ _605816) ^ [_894370, _894372] : [relation(_894370), -(subset(relation_dom_restriction(_894370, _894372), _894370))], (7970 ^ _605816) ^ [_894584, _894586] : [empty(_894586), -(_894586 = _894584), empty(_894584)], (7980 ^ _605816) ^ [_894895, _894897, _894899] : [relation(_894895), function(_894895), 7987 ^ _605816 : [(7988 ^ _605816) ^ [] : [in(ordered_pair(_894899, _894897), _894895), 7991 ^ _605816 : [(7992 ^ _605816) ^ [] : [-(in(_894899, relation_dom(_894895)))], (7994 ^ _605816) ^ [] : [-(_894897 = apply(_894895, _894899))]]], (7996 ^ _605816) ^ [] : [-(in(ordered_pair(_894899, _894897), _894895)), in(_894899, relation_dom(_894895)), _894897 = apply(_894895, _894899)]]], (8006 ^ _605816) ^ [_895636] : [relation(_895636), 8009 ^ _605816 : [(8010 ^ _605816) ^ [] : [well_orders(_895636, relation_field(_895636)), -(well_ordering(_895636))], (8016 ^ _605816) ^ [] : [well_ordering(_895636), -(well_orders(_895636, relation_field(_895636)))]]], (8022 ^ _605816) ^ [_896095, _896097, _896099] : [-(subset(set_union2(_896099, _896095), _896097)), subset(_896099, _896097), subset(_896095, _896097)], (8032 ^ _605816) ^ [_896424, _896426, _896428] : [singleton(_896428) = unordered_pair(_896426, _896424), -(_896428 = _896426)], (8038 ^ _605816) ^ [_896650, _896652] : [relation(_896650), -(relation_dom(relation_dom_restriction(_896650, _896652)) = set_intersection2(relation_dom(_896650), _896652))], (8044 ^ _605816) ^ [_896878, _896880] : [in(_896880, _896878), -(subset(_896880, union(_896878)))], (8050 ^ _605816) ^ [_897092, _897094] : [relation(_897092), -(relation_dom_restriction(_897092, _897094) = relation_composition(identity_relation(_897094), _897092))], (8056 ^ _605816) ^ [_897316, _897318] : [relation(_897316), -(subset(relation_rng(relation_dom_restriction(_897316, _897318)), relation_rng(_897316)))], (8062 ^ _605816) ^ [_897509] : [-(union(powerset(_897509)) = _897509)], (8064 ^ _605816) ^ [_897648, _897650, _897652, _897654] : [function(_897648), quasi_total(_897648, _897654, _897652), relation_of2_as_subset(_897648, _897654, _897652), subset(_897652, _897650), 8081 ^ _605816 : [(8082 ^ _605816) ^ [] : [-(_897652 = empty_set)], (8084 ^ _605816) ^ [] : [_897654 = empty_set]], 8085 ^ _605816 : [(8086 ^ _605816) ^ [] : [-(function(_897648))], (8088 ^ _605816) ^ [] : [-(quasi_total(_897648, _897654, _897650))], (8090 ^ _605816) ^ [] : [-(relation_of2_as_subset(_897648, _897654, _897650))]]], (8128 ^ _605816) ^ [_899914, _899916, _899918] : [singleton(_899918) = unordered_pair(_899916, _899914), -(_899916 = _899914)], (8093 ^ _605816) ^ [_898634] : [-(in(_898634, 8091 ^ [_898634]))], (8095 ^ _605816) ^ [_898746, _898748, _898750] : [-(in(_898746, 8091 ^ [_898750])), in(_898748, 8091 ^ [_898750]), subset(_898746, _898748)], (8105 ^ _605816) ^ [_899061, _899063] : [in(_899061, 8091 ^ [_899063]), 8109 ^ _605816 : [(8110 ^ _605816) ^ [] : [-(in(8108 ^ [_899061, _899063], 8091 ^ [_899063]))], (8112 ^ _605816) ^ [_899373] : [subset(_899373, _899061), -(in(_899373, 8108 ^ [_899061, _899063]))]]], (8118 ^ _605816) ^ [_899580, _899582] : [subset(_899580, 8091 ^ [_899582]), -(are_equipotent(_899580, 8091 ^ [_899582])), -(in(_899580, 8091 ^ [_899582]))]], input).
% 101.18/97.96  ncf('1',plain,[finite(relation_rng(8133 ^ []))],start(8141 ^ 0)).
% 101.18/97.96  ncf('1.1',plain,[-(finite(relation_rng(8133 ^ []))), relation_image(8133 ^ [], relation_dom(8133 ^ [])) = relation_rng(8133 ^ []), finite(relation_image(8133 ^ [], relation_dom(8133 ^ [])))],extension(448 ^ 1,bind([[_619936, _619938], [relation_rng(8133 ^ []), relation_image(8133 ^ [], relation_dom(8133 ^ []))]]))).
% 101.18/97.96  ncf('1.1.1',plain,[-(relation_image(8133 ^ [], relation_dom(8133 ^ [])) = relation_rng(8133 ^ [])), relation(8133 ^ [])],extension(6289 ^ 2,bind([[_838909], [8133 ^ []]]))).
% 101.18/97.96  ncf('1.1.1.1',plain,[-(relation(8133 ^ []))],extension(8135 ^ 3)).
% 101.18/97.96  ncf('1.1.2',plain,[-(finite(relation_image(8133 ^ [], relation_dom(8133 ^ [])))), relation(8133 ^ []), function(8133 ^ []), finite(relation_dom(8133 ^ []))],extension(3554 ^ 2,bind([[_728958, _728960], [relation_dom(8133 ^ []), 8133 ^ []]]))).
% 101.18/97.96  ncf('1.1.2.1',plain,[-(relation(8133 ^ []))],extension(8135 ^ 3)).
% 101.18/97.96  ncf('1.1.2.2',plain,[-(function(8133 ^ []))],extension(8137 ^ 3)).
% 101.18/97.96  ncf('1.1.2.3',plain,[-(finite(relation_dom(8133 ^ [])))],extension(8139 ^ 3)).
% 101.18/97.96  %-----------------------------------------------------
% 101.18/97.96  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------