%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU295+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May 19 12:03:02 EDT 2023

% Result   : Theorem 0.42s 1.39s
% Output   : Proof 0.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU295+2 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n020.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu May 18 12:46:47 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.42/1.39  
% 0.42/1.39  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.42/1.39  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/1.39  %-----------------------------------------------------
% 0.42/1.39  ncf(matrix, plain, [(7274 ^ _39717) ^ [] : [-(finite(7271 ^ []))], (7276 ^ _39717) ^ [] : [finite(set_intersection2(7271 ^ [], 7272 ^ []))], (458 ^ _39717) ^ [_45995, _45997, _45999, _46001, _46003, _46005] : [-(unordered_triple(_46005, _46001, _45997) = unordered_triple(_46003, _45999, _45995)), _46005 = _46003, _46001 = _45999, _45997 = _45995], (472 ^ _39717) ^ [_46216, _46218] : [_46218 = _46216, -(set_meet(_46218) = set_meet(_46216))], (478 ^ _39717) ^ [_46301, _46303, _46305, _46307] : [-(relation_image(_46307, _46303) = relation_image(_46305, _46301)), _46307 = _46305, _46303 = _46301], (488 ^ _39717) ^ [_46450, _46452, _46454, _46456] : [-(relation_rng_restriction(_46456, _46452) = relation_rng_restriction(_46454, _46450)), _46456 = _46454, _46452 = _46450], (498 ^ _39717) ^ [_46599, _46601, _46603, _46605] : [-(cartesian_product2(_46605, _46601) = cartesian_product2(_46603, _46599)), _46605 = _46603, _46601 = _46599], (508 ^ _39717) ^ [_46748, _46750, _46752, _46754] : [-(fiber(_46754, _46750) = fiber(_46752, _46748)), _46754 = _46752, _46750 = _46748], (518 ^ _39717) ^ [_46897, _46899, _46901, _46903, _46905, _46907] : [-(relation_dom_as_subset(_46907, _46903, _46899) = relation_dom_as_subset(_46905, _46901, _46897)), _46907 = _46905, _46903 = _46901, _46899 = _46897], (532 ^ _39717) ^ [_47118, _47120, _47122, _47124, _47126, _47128] : [-(relation_rng_as_subset(_47128, _47124, _47120) = relation_rng_as_subset(_47126, _47122, _47118)), _47128 = _47126, _47124 = _47122, _47120 = _47118], (546 ^ _39717) ^ [_47339, _47341] : [_47341 = _47339, -(relation_inverse(_47341) = relation_inverse(_47339))], (552 ^ _39717) ^ [_47424, _47426, _47428, _47430] : [-(relation_restriction(_47430, _47426) = relation_restriction(_47428, _47424)), _47430 = _47428, _47426 = _47424], (562 ^ _39717) ^ [_47573, _47575] : [_47575 = _47573, -(succ(_47575) = succ(_47573))], (568 ^ _39717) ^ [_47658, _47660, _47662, _47664] : [-(relation_inverse_image(_47664, _47660) = relation_inverse_image(_47662, _47658)), _47664 = _47662, _47660 = _47658], (578 ^ _39717) ^ [_47807, _47809, _47811, _47813] : [-(union_of_subsets(_47813, _47809) = union_of_subsets(_47811, _47807)), _47813 = _47811, _47809 = _47807], (588 ^ _39717) ^ [_47956, _47958, _47960, _47962] : [-(complements_of_subsets(_47962, _47958) = complements_of_subsets(_47960, _47956)), _47962 = _47960, _47958 = _47956], (598 ^ _39717) ^ [_48105, _48107, _48109, _48111, _48113, _48115] : [-(subset_difference(_48115, _48111, _48107) = subset_difference(_48113, _48109, _48105)), _48115 = _48113, _48111 = _48109, _48107 = _48105], (612 ^ _39717) ^ [_48326, _48328] : [_48328 = _48326, -(cast_to_subset(_48328) = cast_to_subset(_48326))], (618 ^ _39717) ^ [_48411, _48413, _48415, _48417] : [-(meet_of_subsets(_48417, _48413) = meet_of_subsets(_48415, _48411)), _48417 = _48415, _48413 = _48411], (628 ^ _39717) ^ [_48560, _48562, _48564, _48566] : [-(subset_complement(_48566, _48562) = subset_complement(_48564, _48560)), _48566 = _48564, _48562 = _48560], (638 ^ _39717) ^ [_48709, _48711] : [_48711 = _48709, -(function_inverse(_48711) = function_inverse(_48709))], (644 ^ _39717) ^ [_48794, _48796] : [_48796 = _48794, -(pair_first(_48796) = pair_first(_48794))], (650 ^ _39717) ^ [_48879, _48881] : [_48881 = _48879, -(pair_second(_48881) = pair_second(_48879))], (656 ^ _39717) ^ [_48964, _48966] : [_48966 = _48964, -(inclusion_relation(_48966) = inclusion_relation(_48964))], (662 ^ _39717) ^ [_49049, _49051, _49053, _49055] : [-(set_difference(_49055, _49051) = set_difference(_49053, _49049)), _49055 = _49053, _49051 = _49049], (672 ^ _39717) ^ [_49198, _49200, _49202, _49204] : [-(ordered_pair(_49204, _49200) = ordered_pair(_49202, _49198)), _49204 = _49202, _49200 = _49198], (682 ^ _39717) ^ [_49347, _49349, _49351, _49353] : [-(apply(_49353, _49349) = apply(_49351, _49347)), _49353 = _49351, _49349 = _49347], (692 ^ _39717) ^ [_49496, _49498] : [_49498 = _49496, -(relation_field(_49498) = relation_field(_49496))], (698 ^ _39717) ^ [_49581, _49583, _49585, _49587] : [-(set_union2(_49587, _49583) = set_union2(_49585, _49581)), _49587 = _49585, _49583 = _49581], (708 ^ _39717) ^ [_49730, _49732] : [_49732 = _49730, -(relation_dom(_49732) = relation_dom(_49730))], (714 ^ _39717) ^ [_49815, _49817, _49819, _49821] : [-(relation_composition(_49821, _49817) = relation_composition(_49819, _49815)), _49821 = _49819, _49817 = _49815], (724 ^ _39717) ^ [_49964, _49966] : [_49966 = _49964, -(identity_relation(_49966) = identity_relation(_49964))], (730 ^ _39717) ^ [_50049, _50051, _50053, _50055] : [-(relation_dom_restriction(_50055, _50051) = relation_dom_restriction(_50053, _50049)), _50055 = _50053, _50051 = _50049], (740 ^ _39717) ^ [_50198, _50200] : [_50200 = _50198, -(relation_rng(_50200) = relation_rng(_50198))], (746 ^ _39717) ^ [_50283, _50285] : [_50285 = _50283, -(union(_50285) = union(_50283))], (752 ^ _39717) ^ [_50368, _50370] : [_50370 = _50368, -(powerset(_50370) = powerset(_50368))], (758 ^ _39717) ^ [_50453, _50455] : [_50455 = _50453, -(singleton(_50455) = singleton(_50453))], (764 ^ _39717) ^ [_50538, _50540, _50542, _50544] : [-(unordered_pair(_50544, _50540) = unordered_pair(_50542, _50538)), _50544 = _50542, _50540 = _50538], (774 ^ _39717) ^ [_50683, _50685, _50687, _50689] : [-(set_intersection2(_50689, _50685) = set_intersection2(_50687, _50683)), _50689 = _50687, _50685 = _50683], (2 ^ _39717) ^ [_39747] : [-(_39747 = _39747)], (4 ^ _39717) ^ [_39770, _39772] : [_39772 = _39770, -(_39770 = _39772)], (10 ^ _39717) ^ [_39843, _39845, _39847] : [-(_39847 = _39843), _39847 = _39845, _39845 = _39843], (20 ^ _39717) ^ [_39980, _39982, _39984, _39986] : [-(is_antisymmetric_in(_39984, _39980)), is_antisymmetric_in(_39986, _39982), _39986 = _39984, _39982 = _39980], (34 ^ _39717) ^ [_40173, _40175, _40177, _40179] : [-(is_connected_in(_40177, _40173)), is_connected_in(_40179, _40175), _40179 = _40177, _40175 = _40173], (48 ^ _39717) ^ [_40366, _40368, _40370, _40372] : [-(is_transitive_in(_40370, _40366)), is_transitive_in(_40372, _40368), _40372 = _40370, _40368 = _40366], (62 ^ _39717) ^ [_40559, _40561, _40563, _40565] : [-(is_reflexive_in(_40563, _40559)), is_reflexive_in(_40565, _40561), _40565 = _40563, _40561 = _40559], (76 ^ _39717) ^ [_40752, _40754] : [-(natural(_40752)), _40754 = _40752, natural(_40754)], (86 ^ _39717) ^ [_40877, _40879] : [-(epsilon_connected(_40877)), _40879 = _40877, epsilon_connected(_40879)], (96 ^ _39717) ^ [_41002, _41004] : [-(relation_empty_yielding(_41002)), _41004 = _41002, relation_empty_yielding(_41004)], (106 ^ _39717) ^ [_41127, _41129, _41131, _41133, _41135, _41137] : [-(relation_of2(_41135, _41131, _41127)), relation_of2(_41137, _41133, _41129), _41137 = _41135, _41133 = _41131, _41129 = _41127], (124 ^ _39717) ^ [_41396, _41398, _41400, _41402] : [-(equipotent(_41400, _41396)), equipotent(_41402, _41398), _41402 = _41400, _41398 = _41396], (138 ^ _39717) ^ [_41589, _41591] : [-(epsilon_transitive(_41589)), _41591 = _41589, epsilon_transitive(_41591)], (148 ^ _39717) ^ [_41714, _41716, _41718, _41720] : [-(ordinal_subset(_41718, _41714)), ordinal_subset(_41720, _41716), _41720 = _41718, _41716 = _41714], (162 ^ _39717) ^ [_41907, _41909] : [-(being_limit_ordinal(_41907)), _41909 = _41907, being_limit_ordinal(_41909)], (172 ^ _39717) ^ [_42032, _42034] : [-(reflexive(_42032)), _42034 = _42032, reflexive(_42034)], (182 ^ _39717) ^ [_42157, _42159] : [-(transitive(_42157)), _42159 = _42157, transitive(_42159)], (192 ^ _39717) ^ [_42282, _42284] : [-(connected(_42282)), _42284 = _42282, connected(_42284)], (202 ^ _39717) ^ [_42407, _42409, _42411, _42413, _42415, _42417] : [-(relation_isomorphism(_42415, _42411, _42407)), relation_isomorphism(_42417, _42413, _42409), _42417 = _42415, _42413 = _42411, _42409 = _42407], (220 ^ _39717) ^ [_42676, _42678, _42680, _42682] : [-(element(_42680, _42676)), element(_42682, _42678), _42682 = _42680, _42678 = _42676], (234 ^ _39717) ^ [_42869, _42871, _42873, _42875] : [-(is_well_founded_in(_42873, _42869)), is_well_founded_in(_42875, _42871), _42875 = _42873, _42871 = _42869], (248 ^ _39717) ^ [_43062, _43064] : [-(antisymmetric(_43062)), _43064 = _43062, antisymmetric(_43064)], (258 ^ _39717) ^ [_43187, _43189, _43191, _43193] : [-(proper_subset(_43191, _43187)), proper_subset(_43193, _43189), _43193 = _43191, _43189 = _43187], (272 ^ _39717) ^ [_43380, _43382] : [-(one_to_one(_43380)), _43382 = _43380, one_to_one(_43382)], (282 ^ _39717) ^ [_43505, _43507] : [-(well_founded_relation(_43505)), _43507 = _43505, well_founded_relation(_43507)], (292 ^ _39717) ^ [_43630, _43632] : [-(ordinal(_43630)), _43632 = _43630, ordinal(_43632)], (302 ^ _39717) ^ [_43755, _43757, _43759, _43761] : [-(disjoint(_43759, _43755)), disjoint(_43761, _43757), _43761 = _43759, _43757 = _43755], (316 ^ _39717) ^ [_43948, _43950] : [-(empty(_43948)), _43950 = _43948, empty(_43950)], (326 ^ _39717) ^ [_44073, _44075, _44077, _44079] : [-(well_orders(_44077, _44073)), well_orders(_44079, _44075), _44079 = _44077, _44075 = _44073], (340 ^ _39717) ^ [_44266, _44268] : [-(well_ordering(_44266)), _44268 = _44266, well_ordering(_44268)], (350 ^ _39717) ^ [_44391, _44393] : [-(relation(_44391)), _44393 = _44391, relation(_44393)], (360 ^ _39717) ^ [_44516, _44518] : [-(function(_44516)), _44518 = _44516, function(_44518)], (370 ^ _39717) ^ [_44641, _44643, _44645, _44647, _44649, _44651] : [-(quasi_total(_44649, _44645, _44641)), quasi_total(_44651, _44647, _44643), _44651 = _44649, _44647 = _44645, _44643 = _44641], (388 ^ _39717) ^ [_44910, _44912, _44914, _44916, _44918, _44920] : [-(relation_of2_as_subset(_44918, _44914, _44910)), relation_of2_as_subset(_44920, _44916, _44912), _44920 = _44918, _44916 = _44914, _44912 = _44910], (406 ^ _39717) ^ [_45179, _45181, _45183, _45185] : [-(subset(_45183, _45179)), subset(_45185, _45181), _45185 = _45183, _45181 = _45179], (420 ^ _39717) ^ [_45372, _45374, _45376, _45378] : [-(are_equipotent(_45376, _45372)), are_equipotent(_45378, _45374), _45378 = _45376, _45374 = _45372], (448 ^ _39717) ^ [_45754, _45756] : [-(finite(_45754)), _45756 = _45754, finite(_45756)], (434 ^ _39717) ^ [_45565, _45567, _45569, _45571] : [-(in(_45569, _45565)), in(_45571, _45567), _45571 = _45569, _45567 = _45565], (784 ^ _39717) ^ [_50939, _50941] : [in(_50941, _50939), in(_50939, _50941)], (790 ^ _39717) ^ [_51017, _51019] : [proper_subset(_51019, _51017), proper_subset(_51017, _51019)], (796 ^ _39717) ^ [_51095] : [ordinal(_51095), 799 ^ _39717 : [(800 ^ _39717) ^ [_51163] : [element(_51163, _51095), 803 ^ _39717 : [(804 ^ _39717) ^ [] : [-(epsilon_transitive(_51163))], (806 ^ _39717) ^ [] : [-(epsilon_connected(_51163))], (808 ^ _39717) ^ [] : [-(ordinal(_51163))]]]]], (810 ^ _39717) ^ [_51288] : [empty(_51288), -(finite(_51288))], (816 ^ _39717) ^ [_51359] : [empty(_51359), -(function(_51359))], (822 ^ _39717) ^ [_51430] : [ordinal(_51430), 825 ^ _39717 : [(826 ^ _39717) ^ [] : [-(epsilon_transitive(_51430))], (828 ^ _39717) ^ [] : [-(epsilon_connected(_51430))]]], (830 ^ _39717) ^ [_51525] : [empty(_51525), -(relation(_51525))], (836 ^ _39717) ^ [_51596, _51598, _51600] : [element(_51596, powerset(cartesian_product2(_51600, _51598))), -(relation(_51596))], (842 ^ _39717) ^ [_51683] : [849 ^ _39717 : [(850 ^ _39717) ^ [] : [-(epsilon_transitive(_51683))], (852 ^ _39717) ^ [] : [-(epsilon_connected(_51683))], (854 ^ _39717) ^ [] : [-(ordinal(_51683))], (856 ^ _39717) ^ [] : [-(natural(_51683))]], empty(_51683), ordinal(_51683)], (858 ^ _39717) ^ [_51870] : [finite(_51870), 861 ^ _39717 : [(862 ^ _39717) ^ [_51930] : [element(_51930, powerset(_51870)), -(finite(_51930))]]], (868 ^ _39717) ^ [_52013] : [879 ^ _39717 : [(880 ^ _39717) ^ [] : [-(relation(_52013))], (882 ^ _39717) ^ [] : [-(function(_52013))], (884 ^ _39717) ^ [] : [-(one_to_one(_52013))]], relation(_52013), empty(_52013), function(_52013)], (886 ^ _39717) ^ [_52226] : [-(ordinal(_52226)), epsilon_transitive(_52226), epsilon_connected(_52226)], (896 ^ _39717) ^ [_52345] : [empty(_52345), 899 ^ _39717 : [(900 ^ _39717) ^ [] : [-(epsilon_transitive(_52345))], (902 ^ _39717) ^ [] : [-(epsilon_connected(_52345))], (904 ^ _39717) ^ [] : [-(ordinal(_52345))]]], (906 ^ _39717) ^ [_52462, _52464] : [-(unordered_pair(_52464, _52462) = unordered_pair(_52462, _52464))], (908 ^ _39717) ^ [_52493, _52495] : [-(set_union2(_52495, _52493) = set_union2(_52493, _52495))], (910 ^ _39717) ^ [_52524, _52526] : [-(set_intersection2(_52526, _52524) = set_intersection2(_52524, _52526))], (912 ^ _39717) ^ [_52555, _52557] : [ordinal(_52557), ordinal(_52555), -(ordinal_subset(_52557, _52555)), -(ordinal_subset(_52555, _52557))], (926 ^ _39717) ^ [_52695, _52697] : [relation(_52695), 929 ^ _39717 : [(952 ^ _39717) ^ [] : [-(_52695 = identity_relation(_52697)), 965 ^ _39717 : [(966 ^ _39717) ^ [] : [-(in(953 ^ [_52695, _52697], _52697))], (968 ^ _39717) ^ [] : [-(953 ^ [_52695, _52697] = 954 ^ [_52695, _52697])], (970 ^ _39717) ^ [] : [in(ordered_pair(953 ^ [_52695, _52697], 954 ^ [_52695, _52697]), _52695)]], 957 ^ _39717 : [(958 ^ _39717) ^ [] : [-(in(ordered_pair(953 ^ [_52695, _52697], 954 ^ [_52695, _52697]), _52695))], (960 ^ _39717) ^ [] : [in(953 ^ [_52695, _52697], _52697), 953 ^ [_52695, _52697] = 954 ^ [_52695, _52697]]]], (930 ^ _39717) ^ [] : [_52695 = identity_relation(_52697), 933 ^ _39717 : [(934 ^ _39717) ^ [_52848, _52850] : [in(ordered_pair(_52850, _52848), _52695), 937 ^ _39717 : [(938 ^ _39717) ^ [] : [-(in(_52850, _52697))], (940 ^ _39717) ^ [] : [-(_52850 = _52848)]]], (942 ^ _39717) ^ [_52957, _52959] : [-(in(ordered_pair(_52959, _52957), _52695)), in(_52959, _52697), _52959 = _52957]]]]], (974 ^ _39717) ^ [_53484, _53486] : [_53486 = _53484, 977 ^ _39717 : [(978 ^ _39717) ^ [] : [-(subset(_53486, _53484))], (980 ^ _39717) ^ [] : [-(subset(_53484, _53486))]]], (982 ^ _39717) ^ [_53583, _53585] : [-(_53585 = _53583), subset(_53585, _53583), subset(_53583, _53585)], (992 ^ _39717) ^ [_53714] : [relation(_53714), 995 ^ _39717 : [(996 ^ _39717) ^ [_53814, _53816] : [relation(_53814), 999 ^ _39717 : [(1022 ^ _39717) ^ [] : [-(_53814 = relation_dom_restriction(_53714, _53816)), 1035 ^ _39717 : [(1036 ^ _39717) ^ [] : [-(in(1023 ^ [_53714, _53814, _53816], _53816))], (1038 ^ _39717) ^ [] : [-(in(ordered_pair(1023 ^ [_53714, _53814, _53816], 1024 ^ [_53714, _53814, _53816]), _53714))], (1040 ^ _39717) ^ [] : [in(ordered_pair(1023 ^ [_53714, _53814, _53816], 1024 ^ [_53714, _53814, _53816]), _53814)]], 1027 ^ _39717 : [(1028 ^ _39717) ^ [] : [-(in(ordered_pair(1023 ^ [_53714, _53814, _53816], 1024 ^ [_53714, _53814, _53816]), _53814))], (1030 ^ _39717) ^ [] : [in(1023 ^ [_53714, _53814, _53816], _53816), in(ordered_pair(1023 ^ [_53714, _53814, _53816], 1024 ^ [_53714, _53814, _53816]), _53714)]]], (1000 ^ _39717) ^ [] : [_53814 = relation_dom_restriction(_53714, _53816), 1003 ^ _39717 : [(1004 ^ _39717) ^ [_53976, _53978] : [in(ordered_pair(_53978, _53976), _53814), 1007 ^ _39717 : [(1008 ^ _39717) ^ [] : [-(in(_53978, _53816))], (1010 ^ _39717) ^ [] : [-(in(ordered_pair(_53978, _53976), _53714))]]], (1012 ^ _39717) ^ [_54093, _54095] : [-(in(ordered_pair(_54095, _54093), _53814)), in(_54095, _53816), in(ordered_pair(_54095, _54093), _53714)]]]]]]], (1044 ^ _39717) ^ [_54663] : [relation(_54663), function(_54663), 1051 ^ _39717 : [(1081 ^ _39717) ^ [_55341, _55343] : [-(_55341 = relation_image(_54663, _55343)), 1098 ^ _39717 : [(1099 ^ _39717) ^ [] : [-(in(1097 ^ [_54663, _55341, _55343], relation_dom(_54663)))], (1101 ^ _39717) ^ [] : [-(in(1097 ^ [_54663, _55341, _55343], _55343))], (1103 ^ _39717) ^ [] : [-(1082 ^ [_54663, _55341, _55343] = apply(_54663, 1097 ^ [_54663, _55341, _55343]))], (1105 ^ _39717) ^ [] : [in(1082 ^ [_54663, _55341, _55343], _55341)]], 1085 ^ _39717 : [(1086 ^ _39717) ^ [] : [-(in(1082 ^ [_54663, _55341, _55343], _55341))], (1088 ^ _39717) ^ [_55505] : [in(_55505, relation_dom(_54663)), in(_55505, _55343), 1082 ^ [_54663, _55341, _55343] = apply(_54663, _55505)]]], (1052 ^ _39717) ^ [_54826, _54828] : [_54826 = relation_image(_54663, _54828), 1055 ^ _39717 : [(1056 ^ _39717) ^ [_54931] : [in(_54931, _54826), 1060 ^ _39717 : [(1061 ^ _39717) ^ [] : [-(in(1059 ^ [_54663, _54826, _54828, _54931], relation_dom(_54663)))], (1063 ^ _39717) ^ [] : [-(in(1059 ^ [_54663, _54826, _54828, _54931], _54828))], (1065 ^ _39717) ^ [] : [-(_54931 = apply(_54663, 1059 ^ [_54663, _54826, _54828, _54931]))]]], (1067 ^ _39717) ^ [_55106] : [-(in(_55106, _54826)), 1068 ^ _39717 : [(1069 ^ _39717) ^ [_55161] : [in(_55161, relation_dom(_54663)), in(_55161, _54828), _55106 = apply(_54663, _55161)]]]]]]], (1109 ^ _39717) ^ [_55852, _55854] : [relation(_55852), 1112 ^ _39717 : [(1113 ^ _39717) ^ [_55949] : [relation(_55949), 1116 ^ _39717 : [(1139 ^ _39717) ^ [] : [-(_55949 = relation_rng_restriction(_55854, _55852)), 1152 ^ _39717 : [(1153 ^ _39717) ^ [] : [-(in(1141 ^ [_55852, _55854, _55949], _55854))], (1155 ^ _39717) ^ [] : [-(in(ordered_pair(1140 ^ [_55852, _55854, _55949], 1141 ^ [_55852, _55854, _55949]), _55852))], (1157 ^ _39717) ^ [] : [in(ordered_pair(1140 ^ [_55852, _55854, _55949], 1141 ^ [_55852, _55854, _55949]), _55949)]], 1144 ^ _39717 : [(1145 ^ _39717) ^ [] : [-(in(ordered_pair(1140 ^ [_55852, _55854, _55949], 1141 ^ [_55852, _55854, _55949]), _55949))], (1147 ^ _39717) ^ [] : [in(1141 ^ [_55852, _55854, _55949], _55854), in(ordered_pair(1140 ^ [_55852, _55854, _55949], 1141 ^ [_55852, _55854, _55949]), _55852)]]], (1117 ^ _39717) ^ [] : [_55949 = relation_rng_restriction(_55854, _55852), 1120 ^ _39717 : [(1121 ^ _39717) ^ [_56111, _56113] : [in(ordered_pair(_56113, _56111), _55949), 1124 ^ _39717 : [(1125 ^ _39717) ^ [] : [-(in(_56111, _55854))], (1127 ^ _39717) ^ [] : [-(in(ordered_pair(_56113, _56111), _55852))]]], (1129 ^ _39717) ^ [_56228, _56230] : [-(in(ordered_pair(_56230, _56228), _55949)), in(_56228, _55854), in(ordered_pair(_56230, _56228), _55852)]]]]]]], (1161 ^ _39717) ^ [_56789] : [relation(_56789), 1164 ^ _39717 : [(1165 ^ _39717) ^ [] : [antisymmetric(_56789), -(is_antisymmetric_in(_56789, relation_field(_56789)))], (1171 ^ _39717) ^ [] : [is_antisymmetric_in(_56789, relation_field(_56789)), -(antisymmetric(_56789))]]], (1177 ^ _39717) ^ [_56991] : [relation(_56991), function(_56991), 1184 ^ _39717 : [(1207 ^ _39717) ^ [_57499, _57501] : [-(_57499 = relation_inverse_image(_56991, _57501)), 1219 ^ _39717 : [(1220 ^ _39717) ^ [] : [-(in(1208 ^ [_56991, _57499, _57501], relation_dom(_56991)))], (1222 ^ _39717) ^ [] : [-(in(apply(_56991, 1208 ^ [_56991, _57499, _57501]), _57501))], (1224 ^ _39717) ^ [] : [in(1208 ^ [_56991, _57499, _57501], _57499)]], 1211 ^ _39717 : [(1212 ^ _39717) ^ [] : [-(in(1208 ^ [_56991, _57499, _57501], _57499))], (1214 ^ _39717) ^ [] : [in(1208 ^ [_56991, _57499, _57501], relation_dom(_56991)), in(apply(_56991, 1208 ^ [_56991, _57499, _57501]), _57501)]]], (1185 ^ _39717) ^ [_57143, _57145] : [_57143 = relation_inverse_image(_56991, _57145), 1188 ^ _39717 : [(1189 ^ _39717) ^ [_57237] : [in(_57237, _57143), 1192 ^ _39717 : [(1193 ^ _39717) ^ [] : [-(in(_57237, relation_dom(_56991)))], (1195 ^ _39717) ^ [] : [-(in(apply(_56991, _57237), _57145))]]], (1197 ^ _39717) ^ [_57350] : [-(in(_57350, _57143)), in(_57350, relation_dom(_56991)), in(apply(_56991, _57350), _57145)]]]]], (1228 ^ _39717) ^ [_57879] : [relation(_57879), 1231 ^ _39717 : [(1255 ^ _39717) ^ [_58384, _58386] : [-(_58384 = relation_image(_57879, _58386)), 1268 ^ _39717 : [(1269 ^ _39717) ^ [] : [-(in(ordered_pair(1267 ^ [_57879, _58384, _58386], 1256 ^ [_57879, _58384, _58386]), _57879))], (1271 ^ _39717) ^ [] : [-(in(1267 ^ [_57879, _58384, _58386], _58386))], (1273 ^ _39717) ^ [] : [in(1256 ^ [_57879, _58384, _58386], _58384)]], 1259 ^ _39717 : [(1260 ^ _39717) ^ [] : [-(in(1256 ^ [_57879, _58384, _58386], _58384))], (1262 ^ _39717) ^ [_58532] : [in(ordered_pair(_58532, 1256 ^ [_57879, _58384, _58386]), _57879), in(_58532, _58386)]]], (1232 ^ _39717) ^ [_57986, _57988] : [_57986 = relation_image(_57879, _57988), 1235 ^ _39717 : [(1236 ^ _39717) ^ [_58083] : [in(_58083, _57986), 1240 ^ _39717 : [(1241 ^ _39717) ^ [] : [-(in(ordered_pair(1239 ^ [_57879, _57986, _57988, _58083], _58083), _57879))], (1243 ^ _39717) ^ [] : [-(in(1239 ^ [_57879, _57986, _57988, _58083], _57988))]]], (1245 ^ _39717) ^ [_58219] : [-(in(_58219, _57986)), 1246 ^ _39717 : [(1247 ^ _39717) ^ [_58266] : [in(ordered_pair(_58266, _58219), _57879), in(_58266, _57988)]]]]]]], (1277 ^ _39717) ^ [_58786] : [relation(_58786), 1280 ^ _39717 : [(1304 ^ _39717) ^ [_59291, _59293] : [-(_59291 = relation_inverse_image(_58786, _59293)), 1317 ^ _39717 : [(1318 ^ _39717) ^ [] : [-(in(ordered_pair(1305 ^ [_58786, _59291, _59293], 1316 ^ [_58786, _59291, _59293]), _58786))], (1320 ^ _39717) ^ [] : [-(in(1316 ^ [_58786, _59291, _59293], _59293))], (1322 ^ _39717) ^ [] : [in(1305 ^ [_58786, _59291, _59293], _59291)]], 1308 ^ _39717 : [(1309 ^ _39717) ^ [] : [-(in(1305 ^ [_58786, _59291, _59293], _59291))], (1311 ^ _39717) ^ [_59439] : [in(ordered_pair(1305 ^ [_58786, _59291, _59293], _59439), _58786), in(_59439, _59293)]]], (1281 ^ _39717) ^ [_58893, _58895] : [_58893 = relation_inverse_image(_58786, _58895), 1284 ^ _39717 : [(1285 ^ _39717) ^ [_58990] : [in(_58990, _58893), 1289 ^ _39717 : [(1290 ^ _39717) ^ [] : [-(in(ordered_pair(_58990, 1288 ^ [_58786, _58893, _58895, _58990]), _58786))], (1292 ^ _39717) ^ [] : [-(in(1288 ^ [_58786, _58893, _58895, _58990], _58895))]]], (1294 ^ _39717) ^ [_59126] : [-(in(_59126, _58893)), 1295 ^ _39717 : [(1296 ^ _39717) ^ [_59173] : [in(ordered_pair(_59126, _59173), _58786), in(_59173, _58895)]]]]]]], (1326 ^ _39717) ^ [_59693] : [relation(_59693), 1329 ^ _39717 : [(1330 ^ _39717) ^ [] : [connected(_59693), -(is_connected_in(_59693, relation_field(_59693)))], (1336 ^ _39717) ^ [] : [is_connected_in(_59693, relation_field(_59693)), -(connected(_59693))]]], (1342 ^ _39717) ^ [_59895] : [relation(_59895), 1345 ^ _39717 : [(1346 ^ _39717) ^ [] : [transitive(_59895), -(is_transitive_in(_59895, relation_field(_59895)))], (1352 ^ _39717) ^ [] : [is_transitive_in(_59895, relation_field(_59895)), -(transitive(_59895))]]], (1386 ^ _39717) ^ [_60504, _60506, _60508, _60510] : [-(_60504 = unordered_triple(_60510, _60508, _60506)), 1390 ^ _39717 : [(1391 ^ _39717) ^ [] : [-(in(1387 ^ [_60504, _60506, _60508, _60510], _60504))], (1393 ^ _39717) ^ [] : [1387 ^ [_60504, _60506, _60508, _60510] = _60510], (1395 ^ _39717) ^ [] : [1387 ^ [_60504, _60506, _60508, _60510] = _60508], (1397 ^ _39717) ^ [] : [1387 ^ [_60504, _60506, _60508, _60510] = _60506]], 1398 ^ _39717 : [(1409 ^ _39717) ^ [] : [in(1387 ^ [_60504, _60506, _60508, _60510], _60504)], (1399 ^ _39717) ^ [] : [-(1387 ^ [_60504, _60506, _60508, _60510] = _60510), -(1387 ^ [_60504, _60506, _60508, _60510] = _60508), -(1387 ^ [_60504, _60506, _60508, _60510] = _60506)]]], (1358 ^ _39717) ^ [_60118, _60120, _60122, _60124] : [_60118 = unordered_triple(_60124, _60122, _60120), 1361 ^ _39717 : [(1376 ^ _39717) ^ [_60338] : [1377 ^ _39717 : [(1378 ^ _39717) ^ [] : [_60338 = _60124], (1380 ^ _39717) ^ [] : [_60338 = _60122], (1382 ^ _39717) ^ [] : [_60338 = _60120]], -(in(_60338, _60118))], (1362 ^ _39717) ^ [_60225] : [in(_60225, _60118), -(_60225 = _60124), -(_60225 = _60122), -(_60225 = _60120)]]], (1427 ^ _39717) ^ [_61174] : [1431 ^ _39717 : [(1432 ^ _39717) ^ [] : [-(in(ordered_pair(1428 ^ [_61174], 1429 ^ [_61174]), _61174))], (1434 ^ _39717) ^ [] : [-(in(ordered_pair(1428 ^ [_61174], 1430 ^ [_61174]), _61174))], (1436 ^ _39717) ^ [] : [1429 ^ [_61174] = 1430 ^ [_61174]]], -(function(_61174))], (1413 ^ _39717) ^ [_60944] : [function(_60944), 1416 ^ _39717 : [(1417 ^ _39717) ^ [_61025, _61027, _61029] : [-(_61027 = _61025), in(ordered_pair(_61029, _61027), _60944), in(ordered_pair(_61029, _61025), _60944)]]], (1440 ^ _39717) ^ [_61380, _61382, _61384] : [relation_of2_as_subset(_61380, _61384, _61382), 1443 ^ _39717 : [(1444 ^ _39717) ^ [] : [1445 ^ _39717 : [(1446 ^ _39717) ^ [] : [-(_61382 = empty_set)], (1448 ^ _39717) ^ [] : [_61384 = empty_set]], 1449 ^ _39717 : [(1450 ^ _39717) ^ [] : [quasi_total(_61380, _61384, _61382), -(_61384 = relation_dom_as_subset(_61384, _61382, _61380))], (1456 ^ _39717) ^ [] : [_61384 = relation_dom_as_subset(_61384, _61382, _61380), -(quasi_total(_61380, _61384, _61382))]]], (1462 ^ _39717) ^ [] : [_61382 = empty_set, -(_61384 = empty_set), 1469 ^ _39717 : [(1470 ^ _39717) ^ [] : [quasi_total(_61380, _61384, _61382), -(_61380 = empty_set)], (1476 ^ _39717) ^ [] : [_61380 = empty_set, -(quasi_total(_61380, _61384, _61382))]]]]], (1482 ^ _39717) ^ [_61975] : [1483 ^ _39717 : [(1484 ^ _39717) ^ [_62055, _62057] : [_61975 = ordered_pair(_62057, _62055)]], 1485 ^ _39717 : [(1496 ^ _39717) ^ [_62258] : [1499 ^ _39717 : [(1500 ^ _39717) ^ [] : [-(_61975 = ordered_pair(1497 ^ [_61975, _62258], 1498 ^ [_61975, _62258]))], (1502 ^ _39717) ^ [] : [_62258 = 1497 ^ [_61975, _62258]]], -(_62258 = pair_first(_61975))], (1486 ^ _39717) ^ [_62096] : [_62096 = pair_first(_61975), 1489 ^ _39717 : [(1490 ^ _39717) ^ [_62171, _62173] : [_61975 = ordered_pair(_62173, _62171), -(_62096 = _62173)]]]]], (1506 ^ _39717) ^ [_62429] : [-(succ(_62429) = set_union2(_62429, singleton(_62429)))], (1520 ^ _39717) ^ [_62656] : [1522 ^ _39717 : [(1523 ^ _39717) ^ [] : [-(in(1521 ^ [_62656], _62656))], (1525 ^ _39717) ^ [_62769, _62771] : [1521 ^ [_62656] = ordered_pair(_62771, _62769)]], -(relation(_62656))], (1508 ^ _39717) ^ [_62471] : [relation(_62471), 1511 ^ _39717 : [(1512 ^ _39717) ^ [_62547] : [in(_62547, _62471), -(_62547 = ordered_pair(1515 ^ [_62471, _62547], 1516 ^ [_62471, _62547]))]]], (1529 ^ _39717) ^ [_62833] : [relation(_62833), 1532 ^ _39717 : [(1543 ^ _39717) ^ [_63069] : [1545 ^ _39717 : [(1546 ^ _39717) ^ [] : [-(in(1544 ^ [_62833, _63069], _63069))], (1548 ^ _39717) ^ [] : [in(ordered_pair(1544 ^ [_62833, _63069], 1544 ^ [_62833, _63069]), _62833)]], -(is_reflexive_in(_62833, _63069))], (1533 ^ _39717) ^ [_62918] : [is_reflexive_in(_62833, _62918), 1536 ^ _39717 : [(1537 ^ _39717) ^ [_62984] : [in(_62984, _62918), -(in(ordered_pair(_62984, _62984), _62833))]]]]], (1552 ^ _39717) ^ [_63249, _63251, _63253] : [relation_of2(_63249, _63253, _63251), -(subset(_63249, cartesian_product2(_63253, _63251)))], (1558 ^ _39717) ^ [_63332, _63334, _63336] : [subset(_63332, cartesian_product2(_63336, _63334)), -(relation_of2(_63332, _63336, _63334))], (1613 ^ _39717) ^ [_64222, _64224] : [_64224 = empty_set, 1616 ^ _39717 : [(1617 ^ _39717) ^ [] : [_64222 = set_meet(_64224), -(_64222 = empty_set)], (1623 ^ _39717) ^ [] : [_64222 = empty_set, -(_64222 = set_meet(_64224))]]], (1564 ^ _39717) ^ [_63429, _63431] : [-(_63431 = empty_set), 1567 ^ _39717 : [(1591 ^ _39717) ^ [] : [-(_63429 = set_meet(_63431)), 1595 ^ _39717 : [(1596 ^ _39717) ^ [] : [-(in(1592 ^ [_63429, _63431], _63429))], (1599 ^ _39717) ^ [] : [-(in(1597 ^ [_63429, _63431], _63431))], (1601 ^ _39717) ^ [] : [in(1592 ^ [_63429, _63431], 1597 ^ [_63429, _63431])]], 1602 ^ _39717 : [(1609 ^ _39717) ^ [] : [in(1592 ^ [_63429, _63431], _63429)], (1603 ^ _39717) ^ [_64066] : [in(_64066, _63431), -(in(1592 ^ [_63429, _63431], _64066))]]], (1568 ^ _39717) ^ [] : [_63429 = set_meet(_63431), 1571 ^ _39717 : [(1582 ^ _39717) ^ [_63722] : [1584 ^ _39717 : [(1585 ^ _39717) ^ [] : [-(in(1583 ^ [_63429, _63431, _63722], _63431))], (1587 ^ _39717) ^ [] : [in(_63722, 1583 ^ [_63429, _63431, _63722])]], -(in(_63722, _63429))], (1572 ^ _39717) ^ [_63576] : [in(_63576, _63429), 1575 ^ _39717 : [(1576 ^ _39717) ^ [_63641] : [in(_63641, _63431), -(in(_63576, _63641))]]]]]]], (1645 ^ _39717) ^ [_64687, _64689] : [-(_64687 = singleton(_64689)), 1649 ^ _39717 : [(1650 ^ _39717) ^ [] : [-(in(1646 ^ [_64687, _64689], _64687))], (1652 ^ _39717) ^ [] : [1646 ^ [_64687, _64689] = _64689]], 1653 ^ _39717 : [(1654 ^ _39717) ^ [] : [-(1646 ^ [_64687, _64689] = _64689)], (1656 ^ _39717) ^ [] : [in(1646 ^ [_64687, _64689], _64687)]]], (1629 ^ _39717) ^ [_64452, _64454] : [_64452 = singleton(_64454), 1632 ^ _39717 : [(1633 ^ _39717) ^ [_64531] : [in(_64531, _64452), -(_64531 = _64454)], (1639 ^ _39717) ^ [_64606] : [_64606 = _64454, -(in(_64606, _64452))]]], (1660 ^ _39717) ^ [_64929] : [relation(_64929), 1663 ^ _39717 : [(1686 ^ _39717) ^ [_65394, _65396] : [-(_65394 = fiber(_64929, _65396)), 1698 ^ _39717 : [(1699 ^ _39717) ^ [] : [1687 ^ [_64929, _65394, _65396] = _65396], (1701 ^ _39717) ^ [] : [-(in(ordered_pair(1687 ^ [_64929, _65394, _65396], _65396), _64929))], (1703 ^ _39717) ^ [] : [in(1687 ^ [_64929, _65394, _65396], _65394)]], 1690 ^ _39717 : [(1691 ^ _39717) ^ [] : [-(in(1687 ^ [_64929, _65394, _65396], _65394))], (1693 ^ _39717) ^ [] : [-(1687 ^ [_64929, _65394, _65396] = _65396), in(ordered_pair(1687 ^ [_64929, _65394, _65396], _65396), _64929)]]], (1664 ^ _39717) ^ [_65033, _65035] : [_65033 = fiber(_64929, _65035), 1667 ^ _39717 : [(1668 ^ _39717) ^ [_65127] : [in(_65127, _65033), 1671 ^ _39717 : [(1672 ^ _39717) ^ [] : [_65127 = _65035], (1674 ^ _39717) ^ [] : [-(in(ordered_pair(_65127, _65035), _64929))]]], (1676 ^ _39717) ^ [_65246] : [-(in(_65246, _65033)), -(_65246 = _65035), in(ordered_pair(_65246, _65035), _64929)]]]]], (1707 ^ _39717) ^ [_65778, _65780] : [relation(_65778), 1710 ^ _39717 : [(1737 ^ _39717) ^ [] : [-(_65778 = inclusion_relation(_65780)), relation_field(_65778) = _65780, 1744 ^ _39717 : [(1745 ^ _39717) ^ [] : [-(in(1742 ^ [_65778, _65780], _65780))], (1747 ^ _39717) ^ [] : [-(in(1743 ^ [_65778, _65780], _65780))], (1749 ^ _39717) ^ [] : [1750 ^ _39717 : [(1751 ^ _39717) ^ [] : [-(in(ordered_pair(1742 ^ [_65778, _65780], 1743 ^ [_65778, _65780]), _65778))], (1753 ^ _39717) ^ [] : [subset(1742 ^ [_65778, _65780], 1743 ^ [_65778, _65780])]], 1754 ^ _39717 : [(1755 ^ _39717) ^ [] : [-(subset(1742 ^ [_65778, _65780], 1743 ^ [_65778, _65780]))], (1757 ^ _39717) ^ [] : [in(ordered_pair(1742 ^ [_65778, _65780], 1743 ^ [_65778, _65780]), _65778)]]]]], (1711 ^ _39717) ^ [] : [_65778 = inclusion_relation(_65780), 1714 ^ _39717 : [(1715 ^ _39717) ^ [] : [-(relation_field(_65778) = _65780)], (1717 ^ _39717) ^ [_65953, _65955] : [in(_65955, _65780), in(_65953, _65780), 1724 ^ _39717 : [(1725 ^ _39717) ^ [] : [in(ordered_pair(_65955, _65953), _65778), -(subset(_65955, _65953))], (1731 ^ _39717) ^ [] : [subset(_65955, _65953), -(in(ordered_pair(_65955, _65953), _65778))]]]]]]], (1761 ^ _39717) ^ [_66641] : [_66641 = empty_set, 1764 ^ _39717 : [(1765 ^ _39717) ^ [_66702] : [in(_66702, _66641)]]], (1767 ^ _39717) ^ [_66723] : [-(in(1768 ^ [_66723], _66723)), -(_66723 = empty_set)], (1790 ^ _39717) ^ [_67014, _67016] : [-(_67014 = powerset(_67016)), 1794 ^ _39717 : [(1795 ^ _39717) ^ [] : [-(in(1791 ^ [_67014, _67016], _67014))], (1797 ^ _39717) ^ [] : [subset(1791 ^ [_67014, _67016], _67016)]], 1798 ^ _39717 : [(1799 ^ _39717) ^ [] : [-(subset(1791 ^ [_67014, _67016], _67016))], (1801 ^ _39717) ^ [] : [in(1791 ^ [_67014, _67016], _67014)]]], (1774 ^ _39717) ^ [_66779, _66781] : [_66779 = powerset(_66781), 1777 ^ _39717 : [(1778 ^ _39717) ^ [_66858] : [in(_66858, _66779), -(subset(_66858, _66781))], (1784 ^ _39717) ^ [_66933] : [subset(_66933, _66781), -(in(_66933, _66779))]]], (1805 ^ _39717) ^ [_67256] : [1806 ^ _39717 : [(1807 ^ _39717) ^ [_67336, _67338] : [_67256 = ordered_pair(_67338, _67336)]], 1808 ^ _39717 : [(1819 ^ _39717) ^ [_67539] : [1822 ^ _39717 : [(1823 ^ _39717) ^ [] : [-(_67256 = ordered_pair(1820 ^ [_67256, _67539], 1821 ^ [_67256, _67539]))], (1825 ^ _39717) ^ [] : [_67539 = 1821 ^ [_67256, _67539]]], -(_67539 = pair_second(_67256))], (1809 ^ _39717) ^ [_67377] : [_67377 = pair_second(_67256), 1812 ^ _39717 : [(1813 ^ _39717) ^ [_67452, _67454] : [_67256 = ordered_pair(_67454, _67452), -(_67377 = _67452)]]]]], (1839 ^ _39717) ^ [_67858] : [1841 ^ _39717 : [(1842 ^ _39717) ^ [] : [-(in(1840 ^ [_67858], _67858))], (1844 ^ _39717) ^ [] : [subset(1840 ^ [_67858], _67858)]], -(epsilon_transitive(_67858))], (1829 ^ _39717) ^ [_67722] : [epsilon_transitive(_67722), 1832 ^ _39717 : [(1833 ^ _39717) ^ [_67781] : [in(_67781, _67722), -(subset(_67781, _67722))]]], (1848 ^ _39717) ^ [_67991] : [relation(_67991), 1851 ^ _39717 : [(1852 ^ _39717) ^ [_68077] : [relation(_68077), 1855 ^ _39717 : [(1872 ^ _39717) ^ [] : [-(_67991 = _68077), 1877 ^ _39717 : [(1878 ^ _39717) ^ [] : [-(in(ordered_pair(1873 ^ [_67991, _68077], 1874 ^ [_67991, _68077]), _67991))], (1880 ^ _39717) ^ [] : [in(ordered_pair(1873 ^ [_67991, _68077], 1874 ^ [_67991, _68077]), _68077)]], 1881 ^ _39717 : [(1882 ^ _39717) ^ [] : [-(in(ordered_pair(1873 ^ [_67991, _68077], 1874 ^ [_67991, _68077]), _68077))], (1884 ^ _39717) ^ [] : [in(ordered_pair(1873 ^ [_67991, _68077], 1874 ^ [_67991, _68077]), _67991)]]], (1856 ^ _39717) ^ [] : [_67991 = _68077, 1859 ^ _39717 : [(1860 ^ _39717) ^ [_68223, _68225] : [in(ordered_pair(_68225, _68223), _67991), -(in(ordered_pair(_68225, _68223), _68077))], (1866 ^ _39717) ^ [_68312, _68314] : [in(ordered_pair(_68314, _68312), _68077), -(in(ordered_pair(_68314, _68312), _67991))]]]]]]], (1888 ^ _39717) ^ [_68702, _68704] : [-(empty(_68704)), 1891 ^ _39717 : [(1892 ^ _39717) ^ [] : [element(_68702, _68704), -(in(_68702, _68704))], (1898 ^ _39717) ^ [] : [in(_68702, _68704), -(element(_68702, _68704))]]], (1904 ^ _39717) ^ [_68902, _68904] : [empty(_68904), 1907 ^ _39717 : [(1908 ^ _39717) ^ [] : [element(_68902, _68904), -(empty(_68902))], (1914 ^ _39717) ^ [] : [empty(_68902), -(element(_68902, _68904))]]], (1942 ^ _39717) ^ [_69424, _69426, _69428] : [-(_69424 = unordered_pair(_69428, _69426)), 1946 ^ _39717 : [(1947 ^ _39717) ^ [] : [-(in(1943 ^ [_69424, _69426, _69428], _69424))], (1949 ^ _39717) ^ [] : [1943 ^ [_69424, _69426, _69428] = _69428], (1951 ^ _39717) ^ [] : [1943 ^ [_69424, _69426, _69428] = _69426]], 1952 ^ _39717 : [(1959 ^ _39717) ^ [] : [in(1943 ^ [_69424, _69426, _69428], _69424)], (1953 ^ _39717) ^ [] : [-(1943 ^ [_69424, _69426, _69428] = _69428), -(1943 ^ [_69424, _69426, _69428] = _69426)]]], (1920 ^ _39717) ^ [_69124, _69126, _69128] : [_69124 = unordered_pair(_69128, _69126), 1923 ^ _39717 : [(1934 ^ _39717) ^ [_69303] : [1935 ^ _39717 : [(1936 ^ _39717) ^ [] : [_69303 = _69128], (1938 ^ _39717) ^ [] : [_69303 = _69126]], -(in(_69303, _69124))], (1924 ^ _39717) ^ [_69213] : [in(_69213, _69124), -(_69213 = _69128), -(_69213 = _69126)]]], (1963 ^ _39717) ^ [_69746] : [relation(_69746), 1966 ^ _39717 : [(1984 ^ _39717) ^ [] : [-(well_founded_relation(_69746)), 1986 ^ _39717 : [(1987 ^ _39717) ^ [] : [-(subset(1985 ^ [_69746], relation_field(_69746)))], (1989 ^ _39717) ^ [] : [1985 ^ [_69746] = empty_set], (1991 ^ _39717) ^ [_70167] : [in(_70167, 1985 ^ [_69746]), disjoint(fiber(_69746, _70167), 1985 ^ [_69746])]]], (1967 ^ _39717) ^ [] : [well_founded_relation(_69746), 1970 ^ _39717 : [(1971 ^ _39717) ^ [_69888] : [subset(_69888, relation_field(_69746)), -(_69888 = empty_set), 1979 ^ _39717 : [(1980 ^ _39717) ^ [] : [-(in(1978 ^ [_69746, _69888], _69888))], (1982 ^ _39717) ^ [] : [-(disjoint(fiber(_69746, 1978 ^ [_69746, _69888]), _69888))]]]]]]], (2021 ^ _39717) ^ [_70624, _70626, _70628] : [-(_70624 = set_union2(_70628, _70626)), 2025 ^ _39717 : [(2026 ^ _39717) ^ [] : [-(in(2022 ^ [_70624, _70626, _70628], _70624))], (2028 ^ _39717) ^ [] : [in(2022 ^ [_70624, _70626, _70628], _70628)], (2030 ^ _39717) ^ [] : [in(2022 ^ [_70624, _70626, _70628], _70626)]], 2031 ^ _39717 : [(2038 ^ _39717) ^ [] : [in(2022 ^ [_70624, _70626, _70628], _70624)], (2032 ^ _39717) ^ [] : [-(in(2022 ^ [_70624, _70626, _70628], _70628)), -(in(2022 ^ [_70624, _70626, _70628], _70626))]]], (1999 ^ _39717) ^ [_70324, _70326, _70328] : [_70324 = set_union2(_70328, _70326), 2002 ^ _39717 : [(2013 ^ _39717) ^ [_70503] : [2014 ^ _39717 : [(2015 ^ _39717) ^ [] : [in(_70503, _70328)], (2017 ^ _39717) ^ [] : [in(_70503, _70326)]], -(in(_70503, _70324))], (2003 ^ _39717) ^ [_70413] : [in(_70413, _70324), -(in(_70413, _70328)), -(in(_70413, _70326))]]], (2072 ^ _39717) ^ [_71497, _71499, _71501] : [-(_71497 = cartesian_product2(_71501, _71499)), 2090 ^ _39717 : [(2091 ^ _39717) ^ [] : [-(in(2088 ^ [_71497, _71499, _71501], _71501))], (2093 ^ _39717) ^ [] : [-(in(2089 ^ [_71497, _71499, _71501], _71499))], (2095 ^ _39717) ^ [] : [-(2073 ^ [_71497, _71499, _71501] = ordered_pair(2088 ^ [_71497, _71499, _71501], 2089 ^ [_71497, _71499, _71501]))], (2097 ^ _39717) ^ [] : [in(2073 ^ [_71497, _71499, _71501], _71497)]], 2076 ^ _39717 : [(2077 ^ _39717) ^ [] : [-(in(2073 ^ [_71497, _71499, _71501], _71497))], (2079 ^ _39717) ^ [_71667, _71669] : [in(_71669, _71501), in(_71667, _71499), 2073 ^ [_71497, _71499, _71501] = ordered_pair(_71669, _71667)]]], (2042 ^ _39717) ^ [_70964, _70966, _70968] : [_70964 = cartesian_product2(_70968, _70966), 2045 ^ _39717 : [(2046 ^ _39717) ^ [_71072] : [in(_71072, _70964), 2051 ^ _39717 : [(2052 ^ _39717) ^ [] : [-(in(2049 ^ [_70964, _70966, _70968, _71072], _70968))], (2054 ^ _39717) ^ [] : [-(in(2050 ^ [_70964, _70966, _70968, _71072], _70966))], (2056 ^ _39717) ^ [] : [-(_71072 = ordered_pair(2049 ^ [_70964, _70966, _70968, _71072], 2050 ^ [_70964, _70966, _70968, _71072]))]]], (2058 ^ _39717) ^ [_71259] : [-(in(_71259, _70964)), 2059 ^ _39717 : [(2060 ^ _39717) ^ [_71317, _71319] : [in(_71319, _70968), in(_71317, _70966), _71259 = ordered_pair(_71319, _71317)]]]]], (2123 ^ _39717) ^ [_72282] : [2126 ^ _39717 : [(2127 ^ _39717) ^ [] : [-(in(2124 ^ [_72282], _72282))], (2129 ^ _39717) ^ [] : [-(in(2125 ^ [_72282], _72282))], (2131 ^ _39717) ^ [] : [in(2124 ^ [_72282], 2125 ^ [_72282])], (2133 ^ _39717) ^ [] : [2124 ^ [_72282] = 2125 ^ [_72282]], (2135 ^ _39717) ^ [] : [in(2125 ^ [_72282], 2124 ^ [_72282])]], -(epsilon_connected(_72282))], (2101 ^ _39717) ^ [_72027] : [epsilon_connected(_72027), 2104 ^ _39717 : [(2105 ^ _39717) ^ [_72117, _72119] : [in(_72119, _72027), in(_72117, _72027), -(in(_72119, _72117)), -(_72119 = _72117), -(in(_72117, _72119))]]], (2139 ^ _39717) ^ [_72596] : [relation(_72596), 2142 ^ _39717 : [(2143 ^ _39717) ^ [_72682] : [relation(_72682), 2146 ^ _39717 : [(2157 ^ _39717) ^ [] : [2160 ^ _39717 : [(2161 ^ _39717) ^ [] : [-(in(ordered_pair(2158 ^ [_72596, _72682], 2159 ^ [_72596, _72682]), _72596))], (2163 ^ _39717) ^ [] : [in(ordered_pair(2158 ^ [_72596, _72682], 2159 ^ [_72596, _72682]), _72682)]], -(subset(_72596, _72682))], (2147 ^ _39717) ^ [] : [subset(_72596, _72682), 2150 ^ _39717 : [(2151 ^ _39717) ^ [_72813, _72815] : [in(ordered_pair(_72815, _72813), _72596), -(in(ordered_pair(_72815, _72813), _72682))]]]]]]], (2177 ^ _39717) ^ [_73226, _73228] : [2179 ^ _39717 : [(2180 ^ _39717) ^ [] : [-(in(2178 ^ [_73226, _73228], _73228))], (2182 ^ _39717) ^ [] : [in(2178 ^ [_73226, _73228], _73226)]], -(subset(_73228, _73226))], (2167 ^ _39717) ^ [_73084, _73086] : [subset(_73086, _73084), 2170 ^ _39717 : [(2171 ^ _39717) ^ [_73147] : [in(_73147, _73086), -(in(_73147, _73084))]]], (2186 ^ _39717) ^ [_73368] : [relation(_73368), 2189 ^ _39717 : [(2207 ^ _39717) ^ [_73733] : [-(is_well_founded_in(_73368, _73733)), 2209 ^ _39717 : [(2210 ^ _39717) ^ [] : [-(subset(2208 ^ [_73368, _73733], _73733))], (2212 ^ _39717) ^ [] : [2208 ^ [_73368, _73733] = empty_set], (2214 ^ _39717) ^ [_73896] : [in(_73896, 2208 ^ [_73368, _73733]), disjoint(fiber(_73368, _73896), 2208 ^ [_73368, _73733])]]], (2190 ^ _39717) ^ [_73476] : [is_well_founded_in(_73368, _73476), 2193 ^ _39717 : [(2194 ^ _39717) ^ [_73565] : [subset(_73565, _73476), -(_73565 = empty_set), 2202 ^ _39717 : [(2203 ^ _39717) ^ [] : [-(in(2201 ^ [_73368, _73476, _73565], _73565))], (2205 ^ _39717) ^ [] : [-(disjoint(fiber(_73368, 2201 ^ [_73368, _73476, _73565]), _73565))]]]]]]], (2244 ^ _39717) ^ [_74395, _74397, _74399] : [-(_74395 = set_intersection2(_74399, _74397)), 2256 ^ _39717 : [(2257 ^ _39717) ^ [] : [-(in(2245 ^ [_74395, _74397, _74399], _74399))], (2259 ^ _39717) ^ [] : [-(in(2245 ^ [_74395, _74397, _74399], _74397))], (2261 ^ _39717) ^ [] : [in(2245 ^ [_74395, _74397, _74399], _74395)]], 2248 ^ _39717 : [(2249 ^ _39717) ^ [] : [-(in(2245 ^ [_74395, _74397, _74399], _74395))], (2251 ^ _39717) ^ [] : [in(2245 ^ [_74395, _74397, _74399], _74399), in(2245 ^ [_74395, _74397, _74399], _74397)]]], (2222 ^ _39717) ^ [_74064, _74066, _74068] : [_74064 = set_intersection2(_74068, _74066), 2225 ^ _39717 : [(2226 ^ _39717) ^ [_74153] : [in(_74153, _74064), 2229 ^ _39717 : [(2230 ^ _39717) ^ [] : [-(in(_74153, _74068))], (2232 ^ _39717) ^ [] : [-(in(_74153, _74066))]]], (2234 ^ _39717) ^ [_74256] : [-(in(_74256, _74064)), in(_74256, _74068), in(_74256, _74066)]]], (2265 ^ _39717) ^ [_74749] : [relation(_74749), function(_74749), 2272 ^ _39717 : [(2273 ^ _39717) ^ [_74909, _74911] : [in(_74911, relation_dom(_74749)), 2276 ^ _39717 : [(2277 ^ _39717) ^ [] : [_74909 = apply(_74749, _74911), -(in(ordered_pair(_74911, _74909), _74749))], (2283 ^ _39717) ^ [] : [in(ordered_pair(_74911, _74909), _74749), -(_74909 = apply(_74749, _74911))]]], (2289 ^ _39717) ^ [_75139, _75141] : [-(in(_75141, relation_dom(_74749))), 2292 ^ _39717 : [(2293 ^ _39717) ^ [] : [_75139 = apply(_74749, _75141), -(_75139 = empty_set)], (2299 ^ _39717) ^ [] : [_75139 = empty_set, -(_75139 = apply(_74749, _75141))]]]]], (2305 ^ _39717) ^ [_75382] : [ordinal(_75382), 2308 ^ _39717 : [(2309 ^ _39717) ^ [] : [-(epsilon_transitive(_75382))], (2311 ^ _39717) ^ [] : [-(epsilon_connected(_75382))]]], (2313 ^ _39717) ^ [_75473] : [-(ordinal(_75473)), epsilon_transitive(_75473), epsilon_connected(_75473)], (2323 ^ _39717) ^ [_75594] : [relation(_75594), 2326 ^ _39717 : [(2344 ^ _39717) ^ [_75968] : [-(_75968 = relation_dom(_75594)), 2348 ^ _39717 : [(2349 ^ _39717) ^ [] : [-(in(2345 ^ [_75594, _75968], _75968))], (2351 ^ _39717) ^ [_76102] : [in(ordered_pair(2345 ^ [_75594, _75968], _76102), _75594)]], 2353 ^ _39717 : [(2354 ^ _39717) ^ [] : [-(in(ordered_pair(2345 ^ [_75594, _75968], 2352 ^ [_75594, _75968]), _75594))], (2356 ^ _39717) ^ [] : [in(2345 ^ [_75594, _75968], _75968)]]], (2327 ^ _39717) ^ [_75686] : [_75686 = relation_dom(_75594), 2330 ^ _39717 : [(2331 ^ _39717) ^ [_75773] : [in(_75773, _75686), -(in(ordered_pair(_75773, 2334 ^ [_75594, _75686, _75773]), _75594))], (2338 ^ _39717) ^ [_75868] : [2339 ^ _39717 : [(2340 ^ _39717) ^ [_75912] : [in(ordered_pair(_75868, _75912), _75594)]], -(in(_75868, _75686))]]]]], (2360 ^ _39717) ^ [_76249] : [relation(_76249), 2363 ^ _39717 : [(2386 ^ _39717) ^ [_76713] : [2389 ^ _39717 : [(2390 ^ _39717) ^ [] : [-(in(2387 ^ [_76249, _76713], _76713))], (2392 ^ _39717) ^ [] : [-(in(2388 ^ [_76249, _76713], _76713))], (2394 ^ _39717) ^ [] : [-(in(ordered_pair(2387 ^ [_76249, _76713], 2388 ^ [_76249, _76713]), _76249))], (2396 ^ _39717) ^ [] : [-(in(ordered_pair(2388 ^ [_76249, _76713], 2387 ^ [_76249, _76713]), _76249))], (2398 ^ _39717) ^ [] : [2387 ^ [_76249, _76713] = 2388 ^ [_76249, _76713]]], -(is_antisymmetric_in(_76249, _76713))], (2364 ^ _39717) ^ [_76360] : [is_antisymmetric_in(_76249, _76360), 2367 ^ _39717 : [(2368 ^ _39717) ^ [_76452, _76454] : [-(_76454 = _76452), in(_76454, _76360), in(_76452, _76360), in(ordered_pair(_76454, _76452), _76249), in(ordered_pair(_76452, _76454), _76249)]]]]], (2402 ^ _39717) ^ [_77005] : [-(cast_to_subset(_77005) = _77005)], (2427 ^ _39717) ^ [_77411, _77413] : [-(_77411 = union(_77413)), 2440 ^ _39717 : [(2441 ^ _39717) ^ [] : [-(in(2428 ^ [_77411, _77413], 2439 ^ [_77411, _77413]))], (2443 ^ _39717) ^ [] : [-(in(2439 ^ [_77411, _77413], _77413))], (2445 ^ _39717) ^ [] : [in(2428 ^ [_77411, _77413], _77411)]], 2431 ^ _39717 : [(2432 ^ _39717) ^ [] : [-(in(2428 ^ [_77411, _77413], _77411))], (2434 ^ _39717) ^ [_77544] : [in(2428 ^ [_77411, _77413], _77544), in(_77544, _77413)]]], (2404 ^ _39717) ^ [_77045, _77047] : [_77045 = union(_77047), 2407 ^ _39717 : [(2408 ^ _39717) ^ [_77135] : [in(_77135, _77045), 2412 ^ _39717 : [(2413 ^ _39717) ^ [] : [-(in(_77135, 2411 ^ [_77045, _77047, _77135]))], (2415 ^ _39717) ^ [] : [-(in(2411 ^ [_77045, _77047, _77135], _77047))]]], (2417 ^ _39717) ^ [_77259] : [-(in(_77259, _77045)), 2418 ^ _39717 : [(2419 ^ _39717) ^ [_77301] : [in(_77259, _77301), in(_77301, _77047)]]]]], (2449 ^ _39717) ^ [_77770] : [relation(_77770), 2452 ^ _39717 : [(2453 ^ _39717) ^ [] : [well_ordering(_77770), 2456 ^ _39717 : [(2457 ^ _39717) ^ [] : [-(reflexive(_77770))], (2459 ^ _39717) ^ [] : [-(transitive(_77770))], (2461 ^ _39717) ^ [] : [-(antisymmetric(_77770))], (2463 ^ _39717) ^ [] : [-(connected(_77770))], (2465 ^ _39717) ^ [] : [-(well_founded_relation(_77770))]]], (2467 ^ _39717) ^ [] : [-(well_ordering(_77770)), reflexive(_77770), transitive(_77770), antisymmetric(_77770), connected(_77770), well_founded_relation(_77770)]]], (2489 ^ _39717) ^ [_78670, _78672] : [equipotent(_78672, _78670), 2493 ^ _39717 : [(2494 ^ _39717) ^ [] : [-(relation(2492 ^ [_78670, _78672]))], (2496 ^ _39717) ^ [] : [-(function(2492 ^ [_78670, _78672]))], (2498 ^ _39717) ^ [] : [-(one_to_one(2492 ^ [_78670, _78672]))], (2500 ^ _39717) ^ [] : [-(relation_dom(2492 ^ [_78670, _78672]) = _78672)], (2502 ^ _39717) ^ [] : [-(relation_rng(2492 ^ [_78670, _78672]) = _78670)]]], (2504 ^ _39717) ^ [_79241, _79243] : [-(equipotent(_79243, _79241)), 2505 ^ _39717 : [(2506 ^ _39717) ^ [_79352] : [relation(_79352), function(_79352), one_to_one(_79352), relation_dom(_79352) = _79243, relation_rng(_79352) = _79241]]], (2548 ^ _39717) ^ [_80679, _80681, _80683] : [-(_80679 = set_difference(_80683, _80681)), 2560 ^ _39717 : [(2561 ^ _39717) ^ [] : [-(in(2549 ^ [_80679, _80681, _80683], _80683))], (2563 ^ _39717) ^ [] : [in(2549 ^ [_80679, _80681, _80683], _80681)], (2565 ^ _39717) ^ [] : [in(2549 ^ [_80679, _80681, _80683], _80679)]], 2552 ^ _39717 : [(2553 ^ _39717) ^ [] : [-(in(2549 ^ [_80679, _80681, _80683], _80679))], (2555 ^ _39717) ^ [] : [in(2549 ^ [_80679, _80681, _80683], _80683), -(in(2549 ^ [_80679, _80681, _80683], _80681))]]], (2526 ^ _39717) ^ [_79948, _79950, _79952] : [_79948 = set_difference(_79952, _79950), 2529 ^ _39717 : [(2530 ^ _39717) ^ [_80132] : [in(_80132, _79948), 2533 ^ _39717 : [(2534 ^ _39717) ^ [] : [-(in(_80132, _79952))], (2536 ^ _39717) ^ [] : [in(_80132, _79950)]]], (2538 ^ _39717) ^ [_80392] : [-(in(_80392, _79948)), in(_80392, _79952), -(in(_80392, _79950))]]], (2569 ^ _39717) ^ [_81422] : [relation(_81422), function(_81422), 2576 ^ _39717 : [(2600 ^ _39717) ^ [_82576] : [-(_82576 = relation_rng(_81422)), 2613 ^ _39717 : [(2614 ^ _39717) ^ [] : [-(in(2612 ^ [_81422, _82576], relation_dom(_81422)))], (2616 ^ _39717) ^ [] : [-(2601 ^ [_81422, _82576] = apply(_81422, 2612 ^ [_81422, _82576]))], (2618 ^ _39717) ^ [] : [in(2601 ^ [_81422, _82576], _82576)]], 2604 ^ _39717 : [(2605 ^ _39717) ^ [] : [-(in(2601 ^ [_81422, _82576], _82576))], (2607 ^ _39717) ^ [_82871] : [in(_82871, relation_dom(_81422)), 2601 ^ [_81422, _82576] = apply(_81422, _82871)]]], (2577 ^ _39717) ^ [_81694] : [_81694 = relation_rng(_81422), 2580 ^ _39717 : [(2581 ^ _39717) ^ [_81882] : [in(_81882, _81694), 2585 ^ _39717 : [(2586 ^ _39717) ^ [] : [-(in(2584 ^ [_81422, _81694, _81882], relation_dom(_81422)))], (2588 ^ _39717) ^ [] : [-(_81882 = apply(_81422, 2584 ^ [_81422, _81694, _81882]))]]], (2590 ^ _39717) ^ [_82224] : [-(in(_82224, _81694)), 2591 ^ _39717 : [(2592 ^ _39717) ^ [_82327] : [in(_82327, relation_dom(_81422)), _82224 = apply(_81422, _82327)]]]]]]], (2622 ^ _39717) ^ [_83448] : [relation(_83448), 2625 ^ _39717 : [(2643 ^ _39717) ^ [_84260] : [-(_84260 = relation_rng(_83448)), 2647 ^ _39717 : [(2648 ^ _39717) ^ [] : [-(in(2644 ^ [_83448, _84260], _84260))], (2650 ^ _39717) ^ [_84523] : [in(ordered_pair(_84523, 2644 ^ [_83448, _84260]), _83448)]], 2652 ^ _39717 : [(2653 ^ _39717) ^ [] : [-(in(ordered_pair(2651 ^ [_83448, _84260], 2644 ^ [_83448, _84260]), _83448))], (2655 ^ _39717) ^ [] : [in(2644 ^ [_83448, _84260], _84260)]]], (2626 ^ _39717) ^ [_83629] : [_83629 = relation_rng(_83448), 2629 ^ _39717 : [(2630 ^ _39717) ^ [_83809] : [in(_83809, _83629), -(in(ordered_pair(2633 ^ [_83448, _83629, _83809], _83809), _83448))], (2637 ^ _39717) ^ [_84053] : [2638 ^ _39717 : [(2639 ^ _39717) ^ [_84132] : [in(ordered_pair(_84132, _84053), _83448)]], -(in(_84053, _83629))]]]]], (2659 ^ _39717) ^ [_84903, _84905] : [element(_84903, powerset(_84905)), -(subset_complement(_84905, _84903) = set_difference(_84905, _84903))], (2665 ^ _39717) ^ [_85114, _85116] : [-(ordered_pair(_85116, _85114) = unordered_pair(unordered_pair(_85116, _85114), singleton(_85116)))], (2667 ^ _39717) ^ [_85220] : [relation(_85220), 2670 ^ _39717 : [(2671 ^ _39717) ^ [_85404] : [well_orders(_85220, _85404), 2674 ^ _39717 : [(2675 ^ _39717) ^ [] : [-(is_reflexive_in(_85220, _85404))], (2677 ^ _39717) ^ [] : [-(is_transitive_in(_85220, _85404))], (2679 ^ _39717) ^ [] : [-(is_antisymmetric_in(_85220, _85404))], (2681 ^ _39717) ^ [] : [-(is_connected_in(_85220, _85404))], (2683 ^ _39717) ^ [] : [-(is_well_founded_in(_85220, _85404))]]], (2685 ^ _39717) ^ [_85865] : [-(well_orders(_85220, _85865)), is_reflexive_in(_85220, _85865), is_transitive_in(_85220, _85865), is_antisymmetric_in(_85220, _85865), is_connected_in(_85220, _85865), is_well_founded_in(_85220, _85865)]]], (2707 ^ _39717) ^ [_86455] : [being_limit_ordinal(_86455), -(_86455 = union(_86455))], (2713 ^ _39717) ^ [_86613] : [_86613 = union(_86613), -(being_limit_ordinal(_86613))], (2719 ^ _39717) ^ [_86807] : [relation(_86807), -(relation_field(_86807) = set_union2(relation_dom(_86807), relation_rng(_86807)))], (2725 ^ _39717) ^ [_87013] : [relation(_87013), 2728 ^ _39717 : [(2751 ^ _39717) ^ [_87905] : [2754 ^ _39717 : [(2755 ^ _39717) ^ [] : [-(in(2752 ^ [_87013, _87905], _87905))], (2757 ^ _39717) ^ [] : [-(in(2753 ^ [_87013, _87905], _87905))], (2759 ^ _39717) ^ [] : [2752 ^ [_87013, _87905] = 2753 ^ [_87013, _87905]], (2761 ^ _39717) ^ [] : [in(ordered_pair(2752 ^ [_87013, _87905], 2753 ^ [_87013, _87905]), _87013)], (2763 ^ _39717) ^ [] : [in(ordered_pair(2753 ^ [_87013, _87905], 2752 ^ [_87013, _87905]), _87013)]], -(is_connected_in(_87013, _87905))], (2729 ^ _39717) ^ [_87221] : [is_connected_in(_87013, _87221), 2732 ^ _39717 : [(2733 ^ _39717) ^ [_87411, _87413] : [in(_87413, _87221), in(_87411, _87221), -(_87413 = _87411), -(in(ordered_pair(_87413, _87411), _87013)), -(in(ordered_pair(_87411, _87413), _87013))]]]]], (2767 ^ _39717) ^ [_88690] : [relation(_88690), 2770 ^ _39717 : [(2771 ^ _39717) ^ [_88809] : [-(relation_restriction(_88690, _88809) = set_intersection2(_88690, cartesian_product2(_88809, _88809)))]]], (2773 ^ _39717) ^ [_88918] : [relation(_88918), 2776 ^ _39717 : [(2777 ^ _39717) ^ [_89078] : [relation(_89078), 2780 ^ _39717 : [(2797 ^ _39717) ^ [] : [-(_89078 = relation_inverse(_88918)), 2802 ^ _39717 : [(2803 ^ _39717) ^ [] : [-(in(ordered_pair(2798 ^ [_88918, _89078], 2799 ^ [_88918, _89078]), _89078))], (2805 ^ _39717) ^ [] : [in(ordered_pair(2799 ^ [_88918, _89078], 2798 ^ [_88918, _89078]), _88918)]], 2806 ^ _39717 : [(2807 ^ _39717) ^ [] : [-(in(ordered_pair(2799 ^ [_88918, _89078], 2798 ^ [_88918, _89078]), _88918))], (2809 ^ _39717) ^ [] : [in(ordered_pair(2798 ^ [_88918, _89078], 2799 ^ [_88918, _89078]), _89078)]]], (2781 ^ _39717) ^ [] : [_89078 = relation_inverse(_88918), 2784 ^ _39717 : [(2785 ^ _39717) ^ [_89387, _89389] : [in(ordered_pair(_89389, _89387), _89078), -(in(ordered_pair(_89387, _89389), _88918))], (2791 ^ _39717) ^ [_89577, _89579] : [in(ordered_pair(_89577, _89579), _88918), -(in(ordered_pair(_89579, _89577), _89078))]]]]]]], (2813 ^ _39717) ^ [_90382] : [relation(_90382), 2816 ^ _39717 : [(2817 ^ _39717) ^ [_90603] : [relation(_90603), 2820 ^ _39717 : [(2821 ^ _39717) ^ [_90820] : [relation(_90820), function(_90820), 2828 ^ _39717 : [(2863 ^ _39717) ^ [] : [-(relation_isomorphism(_90382, _90603, _90820)), relation_dom(_90820) = relation_field(_90382), relation_rng(_90820) = relation_field(_90603), one_to_one(_90820), 2892 ^ _39717 : [(2893 ^ _39717) ^ [] : [-(in(2876 ^ [_90382, _90603, _90820], relation_field(_90382)))], (2895 ^ _39717) ^ [] : [-(in(2877 ^ [_90382, _90603, _90820], relation_field(_90382)))], (2897 ^ _39717) ^ [] : [-(in(ordered_pair(apply(_90820, 2876 ^ [_90382, _90603, _90820]), apply(_90820, 2877 ^ [_90382, _90603, _90820])), _90603))], (2899 ^ _39717) ^ [] : [in(ordered_pair(2876 ^ [_90382, _90603, _90820], 2877 ^ [_90382, _90603, _90820]), _90382)]], 2880 ^ _39717 : [(2881 ^ _39717) ^ [] : [-(in(ordered_pair(2876 ^ [_90382, _90603, _90820], 2877 ^ [_90382, _90603, _90820]), _90382))], (2883 ^ _39717) ^ [] : [in(2876 ^ [_90382, _90603, _90820], relation_field(_90382)), in(2877 ^ [_90382, _90603, _90820], relation_field(_90382)), in(ordered_pair(apply(_90820, 2876 ^ [_90382, _90603, _90820]), apply(_90820, 2877 ^ [_90382, _90603, _90820])), _90603)]]], (2829 ^ _39717) ^ [] : [relation_isomorphism(_90382, _90603, _90820), 2832 ^ _39717 : [(2833 ^ _39717) ^ [] : [-(relation_dom(_90820) = relation_field(_90382))], (2835 ^ _39717) ^ [] : [-(relation_rng(_90820) = relation_field(_90603))], (2837 ^ _39717) ^ [] : [-(one_to_one(_90820))], (2839 ^ _39717) ^ [_91486, _91488] : [in(ordered_pair(_91488, _91486), _90382), 2842 ^ _39717 : [(2843 ^ _39717) ^ [] : [-(in(_91488, relation_field(_90382)))], (2845 ^ _39717) ^ [] : [-(in(_91486, relation_field(_90382)))], (2847 ^ _39717) ^ [] : [-(in(ordered_pair(apply(_90820, _91488), apply(_90820, _91486)), _90603))]]], (2849 ^ _39717) ^ [_91865, _91867] : [-(in(ordered_pair(_91867, _91865), _90382)), in(_91867, relation_field(_90382)), in(_91865, relation_field(_90382)), in(ordered_pair(apply(_90820, _91867), apply(_90820, _91865)), _90603)]]]]]]]]], (2903 ^ _39717) ^ [_93692, _93694] : [disjoint(_93694, _93692), -(set_intersection2(_93694, _93692) = empty_set)], (2909 ^ _39717) ^ [_93860, _93862] : [set_intersection2(_93862, _93860) = empty_set, -(disjoint(_93862, _93860))], (2915 ^ _39717) ^ [_94064] : [relation(_94064), function(_94064), 2922 ^ _39717 : [(2941 ^ _39717) ^ [] : [2944 ^ _39717 : [(2945 ^ _39717) ^ [] : [-(in(2942 ^ [_94064], relation_dom(_94064)))], (2947 ^ _39717) ^ [] : [-(in(2943 ^ [_94064], relation_dom(_94064)))], (2949 ^ _39717) ^ [] : [-(apply(_94064, 2942 ^ [_94064]) = apply(_94064, 2943 ^ [_94064]))], (2951 ^ _39717) ^ [] : [2942 ^ [_94064] = 2943 ^ [_94064]]], -(one_to_one(_94064))], (2923 ^ _39717) ^ [] : [one_to_one(_94064), 2926 ^ _39717 : [(2927 ^ _39717) ^ [_94427, _94429] : [-(_94429 = _94427), in(_94429, relation_dom(_94064)), in(_94427, relation_dom(_94064)), apply(_94064, _94429) = apply(_94064, _94427)]]]]], (2955 ^ _39717) ^ [_95374] : [relation(_95374), 2958 ^ _39717 : [(2959 ^ _39717) ^ [_95559] : [relation(_95559), 2962 ^ _39717 : [(2963 ^ _39717) ^ [_95740] : [relation(_95740), 2966 ^ _39717 : [(2990 ^ _39717) ^ [] : [-(_95740 = relation_composition(_95374, _95559)), 3004 ^ _39717 : [(3005 ^ _39717) ^ [] : [-(in(ordered_pair(2991 ^ [_95374, _95559, _95740], 3003 ^ [_95374, _95559, _95740]), _95374))], (3007 ^ _39717) ^ [] : [-(in(ordered_pair(3003 ^ [_95374, _95559, _95740], 2992 ^ [_95374, _95559, _95740]), _95559))], (3009 ^ _39717) ^ [] : [in(ordered_pair(2991 ^ [_95374, _95559, _95740], 2992 ^ [_95374, _95559, _95740]), _95740)]], 2995 ^ _39717 : [(2996 ^ _39717) ^ [] : [-(in(ordered_pair(2991 ^ [_95374, _95559, _95740], 2992 ^ [_95374, _95559, _95740]), _95740))], (2998 ^ _39717) ^ [_97204] : [in(ordered_pair(2991 ^ [_95374, _95559, _95740], _97204), _95374), in(ordered_pair(_97204, 2992 ^ [_95374, _95559, _95740]), _95559)]]], (2967 ^ _39717) ^ [] : [_95740 = relation_composition(_95374, _95559), 2970 ^ _39717 : [(2971 ^ _39717) ^ [_96075, _96077] : [in(ordered_pair(_96077, _96075), _95740), 2975 ^ _39717 : [(2976 ^ _39717) ^ [] : [-(in(ordered_pair(_96077, 2974 ^ [_95374, _95559, _95740, _96075, _96077]), _95374))], (2978 ^ _39717) ^ [] : [-(in(ordered_pair(2974 ^ [_95374, _95559, _95740, _96075, _96077], _96075), _95559))]]], (2980 ^ _39717) ^ [_96460, _96462] : [-(in(ordered_pair(_96462, _96460), _95740)), 2981 ^ _39717 : [(2982 ^ _39717) ^ [_96573] : [in(ordered_pair(_96462, _96573), _95374), in(ordered_pair(_96573, _96460), _95559)]]]]]]]]]]], (3013 ^ _39717) ^ [_97876] : [relation(_97876), 3016 ^ _39717 : [(3043 ^ _39717) ^ [_98911] : [3047 ^ _39717 : [(3048 ^ _39717) ^ [] : [-(in(3044 ^ [_97876, _98911], _98911))], (3050 ^ _39717) ^ [] : [-(in(3045 ^ [_97876, _98911], _98911))], (3052 ^ _39717) ^ [] : [-(in(3046 ^ [_97876, _98911], _98911))], (3054 ^ _39717) ^ [] : [-(in(ordered_pair(3044 ^ [_97876, _98911], 3045 ^ [_97876, _98911]), _97876))], (3056 ^ _39717) ^ [] : [-(in(ordered_pair(3045 ^ [_97876, _98911], 3046 ^ [_97876, _98911]), _97876))], (3058 ^ _39717) ^ [] : [in(ordered_pair(3044 ^ [_97876, _98911], 3046 ^ [_97876, _98911]), _97876)]], -(is_transitive_in(_97876, _98911))], (3017 ^ _39717) ^ [_98090] : [is_transitive_in(_97876, _98090), 3020 ^ _39717 : [(3021 ^ _39717) ^ [_98300, _98302, _98304] : [-(in(ordered_pair(_98304, _98300), _97876)), in(_98304, _98090), in(_98302, _98090), in(_98300, _98090), in(ordered_pair(_98304, _98302), _97876), in(ordered_pair(_98302, _98300), _97876)]]]]], (3062 ^ _39717) ^ [_99935, _99937] : [element(_99935, powerset(powerset(_99937))), 3065 ^ _39717 : [(3066 ^ _39717) ^ [_100115] : [element(_100115, powerset(powerset(_99937))), 3069 ^ _39717 : [(3090 ^ _39717) ^ [] : [-(_100115 = complements_of_subsets(_99937, _99935)), 3092 ^ _39717 : [(3093 ^ _39717) ^ [] : [-(element(3091 ^ [_99935, _99937, _100115], powerset(_99937)))], (3095 ^ _39717) ^ [] : [3096 ^ _39717 : [(3097 ^ _39717) ^ [] : [-(in(3091 ^ [_99935, _99937, _100115], _100115))], (3099 ^ _39717) ^ [] : [in(subset_complement(_99937, 3091 ^ [_99935, _99937, _100115]), _99935)]], 3100 ^ _39717 : [(3101 ^ _39717) ^ [] : [-(in(subset_complement(_99937, 3091 ^ [_99935, _99937, _100115]), _99935))], (3103 ^ _39717) ^ [] : [in(3091 ^ [_99935, _99937, _100115], _100115)]]]]], (3070 ^ _39717) ^ [] : [_100115 = complements_of_subsets(_99937, _99935), 3073 ^ _39717 : [(3074 ^ _39717) ^ [_100403] : [element(_100403, powerset(_99937)), 3077 ^ _39717 : [(3078 ^ _39717) ^ [] : [in(_100403, _100115), -(in(subset_complement(_99937, _100403), _99935))], (3084 ^ _39717) ^ [] : [in(subset_complement(_99937, _100403), _99935), -(in(_100403, _100115))]]]]]]]]], (3107 ^ _39717) ^ [_101526, _101528] : [proper_subset(_101528, _101526), 3110 ^ _39717 : [(3111 ^ _39717) ^ [] : [-(subset(_101528, _101526))], (3113 ^ _39717) ^ [] : [_101528 = _101526]]], (3115 ^ _39717) ^ [_101764, _101766] : [-(proper_subset(_101766, _101764)), subset(_101766, _101764), -(_101766 = _101764)], (3125 ^ _39717) ^ [_102054] : [relation(_102054), function(_102054), one_to_one(_102054), -(function_inverse(_102054) = relation_inverse(_102054))], (3139 ^ _39717) ^ [_102418] : [relation(_102418), 3142 ^ _39717 : [(3143 ^ _39717) ^ [] : [reflexive(_102418), -(is_reflexive_in(_102418, relation_field(_102418)))], (3149 ^ _39717) ^ [] : [is_reflexive_in(_102418, relation_field(_102418)), -(reflexive(_102418))]]], (3155 ^ _39717) ^ [] : [true___, -(true___)], (3161 ^ _39717) ^ [] : [true___, -(true___)], (3167 ^ _39717) ^ [] : [true___, -(true___)], (3173 ^ _39717) ^ [] : [true___, -(true___)], (3179 ^ _39717) ^ [] : [true___, -(true___)], (3185 ^ _39717) ^ [] : [true___, -(true___)], (3191 ^ _39717) ^ [] : [true___, -(true___)], (3197 ^ _39717) ^ [] : [true___, -(true___)], (3203 ^ _39717) ^ [] : [true___, -(true___)], (3209 ^ _39717) ^ [_103905] : [-(relation(inclusion_relation(_103905)))], (3211 ^ _39717) ^ [] : [true___, -(true___)], (3217 ^ _39717) ^ [] : [true___, -(true___)], (3223 ^ _39717) ^ [_104237] : [3230 ^ _39717 : [(3231 ^ _39717) ^ [] : [-(relation(function_inverse(_104237)))], (3233 ^ _39717) ^ [] : [-(function(function_inverse(_104237)))]], relation(_104237), function(_104237)], (3235 ^ _39717) ^ [] : [true___, -(true___)], (3241 ^ _39717) ^ [] : [true___, -(true___)], (3247 ^ _39717) ^ [_104808] : [-(element(cast_to_subset(_104808), powerset(_104808)))], (3249 ^ _39717) ^ [] : [true___, -(true___)], (3255 ^ _39717) ^ [_105038, _105040] : [relation(_105040), -(relation(relation_restriction(_105040, _105038)))], (3261 ^ _39717) ^ [] : [true___, -(true___)], (3267 ^ _39717) ^ [] : [true___, -(true___)], (3273 ^ _39717) ^ [] : [true___, -(true___)], (3279 ^ _39717) ^ [_105607, _105609] : [element(_105607, powerset(_105609)), -(element(subset_complement(_105609, _105607), powerset(_105609)))], (3285 ^ _39717) ^ [] : [true___, -(true___)], (3291 ^ _39717) ^ [] : [true___, -(true___)], (3297 ^ _39717) ^ [_106055] : [relation(_106055), -(relation(relation_inverse(_106055)))], (3303 ^ _39717) ^ [_106273, _106275, _106277] : [relation_of2(_106273, _106277, _106275), -(element(relation_dom_as_subset(_106277, _106275, _106273), powerset(_106277)))], (3309 ^ _39717) ^ [] : [true___, -(true___)], (3315 ^ _39717) ^ [] : [true___, -(true___)], (3321 ^ _39717) ^ [_106741, _106743] : [-(relation(relation_composition(_106743, _106741))), relation(_106743), relation(_106741)], (3331 ^ _39717) ^ [_107054, _107056, _107058] : [relation_of2(_107054, _107058, _107056), -(element(relation_rng_as_subset(_107058, _107056, _107054), powerset(_107056)))], (3337 ^ _39717) ^ [_107284, _107286] : [element(_107284, powerset(powerset(_107286))), -(element(union_of_subsets(_107286, _107284), powerset(_107286)))], (3343 ^ _39717) ^ [_107483] : [-(relation(identity_relation(_107483)))], (3345 ^ _39717) ^ [_107591, _107593] : [element(_107591, powerset(powerset(_107593))), -(element(meet_of_subsets(_107593, _107591), powerset(_107593)))], (3351 ^ _39717) ^ [_107833, _107835, _107837] : [-(element(subset_difference(_107837, _107835, _107833), powerset(_107837))), element(_107835, powerset(_107837)), element(_107833, powerset(_107837))], (3361 ^ _39717) ^ [_108162, _108164] : [relation(_108164), -(relation(relation_dom_restriction(_108164, _108162)))], (3367 ^ _39717) ^ [_108374, _108376] : [element(_108374, powerset(powerset(_108376))), -(element(complements_of_subsets(_108376, _108374), powerset(powerset(_108376))))], (3373 ^ _39717) ^ [_108606, _108608] : [relation(_108606), -(relation(relation_rng_restriction(_108608, _108606)))], (3379 ^ _39717) ^ [] : [true___, -(true___)], (3385 ^ _39717) ^ [] : [true___, -(true___)], (3391 ^ _39717) ^ [] : [true___, -(true___)], (3397 ^ _39717) ^ [_109189, _109191, _109193] : [relation_of2_as_subset(_109189, _109193, _109191), -(element(_109189, powerset(cartesian_product2(_109193, _109191))))], (3404 ^ _39717) ^ [_109444, _109446] : [-(relation_of2(3402 ^ [_109444, _109446], _109446, _109444))], (3407 ^ _39717) ^ [_109571] : [-(element(3405 ^ [_109571], _109571))], (3410 ^ _39717) ^ [_109710, _109712] : [-(relation_of2_as_subset(3408 ^ [_109710, _109712], _109712, _109710))], (3412 ^ _39717) ^ [_109827, _109829] : [finite(_109827), -(finite(set_intersection2(_109829, _109827)))], (3418 ^ _39717) ^ [_110039, _110041] : [3425 ^ _39717 : [(3426 ^ _39717) ^ [] : [-(empty(relation_composition(_110039, _110041)))], (3428 ^ _39717) ^ [] : [-(relation(relation_composition(_110039, _110041)))]], empty(_110041), relation(_110039)], (3430 ^ _39717) ^ [_110417, _110419] : [finite(_110419), -(finite(set_intersection2(_110419, _110417)))], (3436 ^ _39717) ^ [_110615] : [empty(_110615), 3439 ^ _39717 : [(3440 ^ _39717) ^ [] : [-(empty(relation_inverse(_110615)))], (3442 ^ _39717) ^ [] : [-(relation(relation_inverse(_110615)))]]], (3444 ^ _39717) ^ [] : [-(empty(empty_set))], (3446 ^ _39717) ^ [] : [-(relation(empty_set))], (3448 ^ _39717) ^ [] : [-(relation_empty_yielding(empty_set))], (3450 ^ _39717) ^ [_111057, _111059] : [3457 ^ _39717 : [(3458 ^ _39717) ^ [] : [-(relation(relation_dom_restriction(_111059, _111057)))], (3460 ^ _39717) ^ [] : [-(relation_empty_yielding(relation_dom_restriction(_111059, _111057)))]], relation(_111059), relation_empty_yielding(_111059)], (3462 ^ _39717) ^ [_111435, _111437] : [3477 ^ _39717 : [(3478 ^ _39717) ^ [] : [-(relation(relation_composition(_111437, _111435)))], (3480 ^ _39717) ^ [] : [-(function(relation_composition(_111437, _111435)))]], relation(_111437), function(_111437), relation(_111435), function(_111435)], (3482 ^ _39717) ^ [_111957] : [empty(succ(_111957))], (3484 ^ _39717) ^ [_112065, _112067] : [-(relation(set_intersection2(_112067, _112065))), relation(_112067), relation(_112065)], (3494 ^ _39717) ^ [_112334] : [empty(powerset(_112334))], (3496 ^ _39717) ^ [] : [-(empty(empty_set))], (3498 ^ _39717) ^ [_112479, _112481] : [empty(ordered_pair(_112481, _112479))], (3500 ^ _39717) ^ [_112581] : [-(relation(identity_relation(_112581)))], (3502 ^ _39717) ^ [_112626] : [-(function(identity_relation(_112626)))], (3504 ^ _39717) ^ [] : [-(relation(empty_set))], (3506 ^ _39717) ^ [] : [-(relation_empty_yielding(empty_set))], (3508 ^ _39717) ^ [] : [-(function(empty_set))], (3510 ^ _39717) ^ [] : [-(one_to_one(empty_set))], (3512 ^ _39717) ^ [] : [-(empty(empty_set))], (3514 ^ _39717) ^ [] : [-(epsilon_transitive(empty_set))], (3516 ^ _39717) ^ [] : [-(epsilon_connected(empty_set))], (3518 ^ _39717) ^ [] : [-(ordinal(empty_set))], (3520 ^ _39717) ^ [_113174, _113176] : [-(relation(set_union2(_113176, _113174))), relation(_113176), relation(_113174)], (3530 ^ _39717) ^ [_113443] : [empty(singleton(_113443))], (3532 ^ _39717) ^ [_113551, _113553] : [-(empty(_113553)), empty(set_union2(_113553, _113551))], (3538 ^ _39717) ^ [_113753] : [3549 ^ _39717 : [(3550 ^ _39717) ^ [] : [-(relation(relation_inverse(_113753)))], (3552 ^ _39717) ^ [] : [-(function(relation_inverse(_113753)))]], relation(_113753), function(_113753), one_to_one(_113753)], (3554 ^ _39717) ^ [_114184] : [ordinal(_114184), 3557 ^ _39717 : [(3558 ^ _39717) ^ [] : [empty(succ(_114184))], (3560 ^ _39717) ^ [] : [-(epsilon_transitive(succ(_114184)))], (3562 ^ _39717) ^ [] : [-(epsilon_connected(succ(_114184)))], (3564 ^ _39717) ^ [] : [-(ordinal(succ(_114184)))]]], (3566 ^ _39717) ^ [_114612, _114614] : [-(relation(set_difference(_114614, _114612))), relation(_114614), relation(_114612)], (3576 ^ _39717) ^ [_114895, _114897] : [empty(unordered_pair(_114897, _114895))], (3578 ^ _39717) ^ [_115006, _115008] : [-(empty(_115008)), empty(set_union2(_115006, _115008))], (3584 ^ _39717) ^ [_115222, _115224] : [3591 ^ _39717 : [(3592 ^ _39717) ^ [] : [-(relation(relation_dom_restriction(_115224, _115222)))], (3594 ^ _39717) ^ [] : [-(function(relation_dom_restriction(_115224, _115222)))]], relation(_115224), function(_115224)], (3596 ^ _39717) ^ [_115586] : [ordinal(_115586), 3599 ^ _39717 : [(3600 ^ _39717) ^ [] : [-(epsilon_transitive(union(_115586)))], (3602 ^ _39717) ^ [] : [-(epsilon_connected(union(_115586)))], (3604 ^ _39717) ^ [] : [-(ordinal(union(_115586)))]]], (3606 ^ _39717) ^ [] : [-(empty(empty_set))], (3608 ^ _39717) ^ [] : [-(relation(empty_set))], (3610 ^ _39717) ^ [_116047, _116049] : [empty(cartesian_product2(_116049, _116047)), -(empty(_116049)), -(empty(_116047))], (3620 ^ _39717) ^ [_116353, _116355] : [3627 ^ _39717 : [(3628 ^ _39717) ^ [] : [-(relation(relation_rng_restriction(_116355, _116353)))], (3630 ^ _39717) ^ [] : [-(function(relation_rng_restriction(_116355, _116353)))]], relation(_116353), function(_116353)], (3632 ^ _39717) ^ [_116717] : [empty(relation_dom(_116717)), -(empty(_116717)), relation(_116717)], (3642 ^ _39717) ^ [_116994] : [empty(relation_rng(_116994)), -(empty(_116994)), relation(_116994)], (3652 ^ _39717) ^ [_117271] : [empty(_117271), 3655 ^ _39717 : [(3656 ^ _39717) ^ [] : [-(empty(relation_dom(_117271)))], (3658 ^ _39717) ^ [] : [-(relation(relation_dom(_117271)))]]], (3660 ^ _39717) ^ [_117536] : [empty(_117536), 3663 ^ _39717 : [(3664 ^ _39717) ^ [] : [-(empty(relation_rng(_117536)))], (3666 ^ _39717) ^ [] : [-(relation(relation_rng(_117536)))]]], (3668 ^ _39717) ^ [_117815, _117817] : [3675 ^ _39717 : [(3676 ^ _39717) ^ [] : [-(empty(relation_composition(_117817, _117815)))], (3678 ^ _39717) ^ [] : [-(relation(relation_composition(_117817, _117815)))]], empty(_117817), relation(_117815)], (3680 ^ _39717) ^ [_118178, _118180] : [-(set_union2(_118180, _118180) = _118180)], (3682 ^ _39717) ^ [_118275, _118277] : [-(set_intersection2(_118277, _118277) = _118277)], (3684 ^ _39717) ^ [_118387, _118389] : [element(_118387, powerset(_118389)), -(subset_complement(_118389, subset_complement(_118389, _118387)) = _118387)], (3690 ^ _39717) ^ [_118599] : [relation(_118599), -(relation_inverse(relation_inverse(_118599)) = _118599)], (3696 ^ _39717) ^ [_118809, _118811] : [element(_118809, powerset(powerset(_118811))), -(complements_of_subsets(_118811, complements_of_subsets(_118811, _118809)) = _118809)], (3702 ^ _39717) ^ [_119023, _119025] : [proper_subset(_119025, _119025)], (3704 ^ _39717) ^ [_119118] : [relation(_119118), 3707 ^ _39717 : [(3718 ^ _39717) ^ [] : [3720 ^ _39717 : [(3721 ^ _39717) ^ [] : [-(in(3719 ^ [_119118], relation_field(_119118)))], (3723 ^ _39717) ^ [] : [in(ordered_pair(3719 ^ [_119118], 3719 ^ [_119118]), _119118)]], -(reflexive(_119118))], (3708 ^ _39717) ^ [] : [reflexive(_119118), 3711 ^ _39717 : [(3712 ^ _39717) ^ [_119362] : [in(_119362, relation_field(_119118)), -(in(ordered_pair(_119362, _119362), _119118))]]]]], (3727 ^ _39717) ^ [_119827] : [singleton(_119827) = empty_set], (3729 ^ _39717) ^ [_119936, _119938] : [in(_119938, _119936), -(set_union2(singleton(_119938), _119936) = _119936)], (3735 ^ _39717) ^ [_120156, _120158] : [disjoint(singleton(_120158), _120156), in(_120158, _120156)], (3741 ^ _39717) ^ [_120369, _120371] : [-(in(_120371, _120369)), -(disjoint(singleton(_120371), _120369))], (3747 ^ _39717) ^ [_120586, _120588] : [relation(_120586), -(subset(relation_dom(relation_rng_restriction(_120588, _120586)), relation_dom(_120586)))], (3753 ^ _39717) ^ [_120794] : [relation(_120794), 3756 ^ _39717 : [(3771 ^ _39717) ^ [] : [3775 ^ _39717 : [(3776 ^ _39717) ^ [] : [-(in(ordered_pair(3772 ^ [_120794], 3773 ^ [_120794]), _120794))], (3778 ^ _39717) ^ [] : [-(in(ordered_pair(3773 ^ [_120794], 3774 ^ [_120794]), _120794))], (3780 ^ _39717) ^ [] : [in(ordered_pair(3772 ^ [_120794], 3774 ^ [_120794]), _120794)]], -(transitive(_120794))], (3757 ^ _39717) ^ [] : [transitive(_120794), 3760 ^ _39717 : [(3761 ^ _39717) ^ [_121086, _121088, _121090] : [-(in(ordered_pair(_121090, _121086), _120794)), in(ordered_pair(_121090, _121088), _120794), in(ordered_pair(_121088, _121086), _120794)]]]]], (3784 ^ _39717) ^ [_121993, _121995] : [subset(singleton(_121995), _121993), -(in(_121995, _121993))], (3790 ^ _39717) ^ [_122159, _122161] : [in(_122161, _122159), -(subset(singleton(_122161), _122159))], (3796 ^ _39717) ^ [_122375, _122377] : [relation(_122375), well_ordering(_122375), equipotent(_122377, relation_field(_122375)), 3808 ^ _39717 : [(3809 ^ _39717) ^ [] : [-(relation(3807 ^ [_122375, _122377]))], (3811 ^ _39717) ^ [] : [-(well_orders(3807 ^ [_122375, _122377], _122377))]]], (3813 ^ _39717) ^ [_122940, _122942] : [set_difference(_122942, _122940) = empty_set, -(subset(_122942, _122940))], (3819 ^ _39717) ^ [_123108, _123110] : [subset(_123110, _123108), -(set_difference(_123110, _123108) = empty_set)], (3825 ^ _39717) ^ [_123326, _123328] : [element(_123326, powerset(_123328)), 3828 ^ _39717 : [(3829 ^ _39717) ^ [_123467] : [in(_123467, _123326), -(in(_123467, _123328))]]], (3835 ^ _39717) ^ [_123678] : [relation(_123678), 3838 ^ _39717 : [(3853 ^ _39717) ^ [] : [3856 ^ _39717 : [(3857 ^ _39717) ^ [] : [-(in(ordered_pair(3854 ^ [_123678], 3855 ^ [_123678]), _123678))], (3859 ^ _39717) ^ [] : [-(in(ordered_pair(3855 ^ [_123678], 3854 ^ [_123678]), _123678))], (3861 ^ _39717) ^ [] : [3854 ^ [_123678] = 3855 ^ [_123678]]], -(antisymmetric(_123678))], (3839 ^ _39717) ^ [] : [antisymmetric(_123678), 3842 ^ _39717 : [(3843 ^ _39717) ^ [_123948, _123950] : [-(_123950 = _123948), in(ordered_pair(_123950, _123948), _123678), in(ordered_pair(_123948, _123950), _123678)]]]]], (3865 ^ _39717) ^ [_124728, _124730, _124732] : [subset(_124732, _124730), -(in(_124728, _124732)), -(subset(_124732, set_difference(_124730, singleton(_124728))))], (3875 ^ _39717) ^ [_125034] : [relation(_125034), 3878 ^ _39717 : [(3901 ^ _39717) ^ [] : [3904 ^ _39717 : [(3905 ^ _39717) ^ [] : [-(in(3902 ^ [_125034], relation_field(_125034)))], (3907 ^ _39717) ^ [] : [-(in(3903 ^ [_125034], relation_field(_125034)))], (3909 ^ _39717) ^ [] : [3902 ^ [_125034] = 3903 ^ [_125034]], (3911 ^ _39717) ^ [] : [in(ordered_pair(3902 ^ [_125034], 3903 ^ [_125034]), _125034)], (3913 ^ _39717) ^ [] : [in(ordered_pair(3903 ^ [_125034], 3902 ^ [_125034]), _125034)]], -(connected(_125034))], (3879 ^ _39717) ^ [] : [connected(_125034), 3882 ^ _39717 : [(3883 ^ _39717) ^ [_125328, _125330] : [in(_125330, relation_field(_125034)), in(_125328, relation_field(_125034)), -(_125330 = _125328), -(in(ordered_pair(_125330, _125328), _125034)), -(in(ordered_pair(_125328, _125330), _125034))]]]]], (3927 ^ _39717) ^ [_126780, _126782] : [3928 ^ _39717 : [(3929 ^ _39717) ^ [] : [_126782 = empty_set], (3931 ^ _39717) ^ [] : [_126782 = singleton(_126780)]], -(subset(_126782, singleton(_126780)))], (3917 ^ _39717) ^ [_126520, _126522] : [subset(_126522, singleton(_126520)), -(_126522 = empty_set), -(_126522 = singleton(_126520))], (3935 ^ _39717) ^ [_127074, _127076] : [in(_127076, _127074), -(subset(_127076, union(_127074)))], (3941 ^ _39717) ^ [_127345, _127347, _127349, _127351] : [in(ordered_pair(_127351, _127349), cartesian_product2(_127347, _127345)), 3944 ^ _39717 : [(3945 ^ _39717) ^ [] : [-(in(_127351, _127347))], (3947 ^ _39717) ^ [] : [-(in(_127349, _127345))]]], (3949 ^ _39717) ^ [_127610, _127612, _127614, _127616] : [-(in(ordered_pair(_127616, _127614), cartesian_product2(_127612, _127610))), in(_127616, _127612), in(_127614, _127610)], (3959 ^ _39717) ^ [_127943, _127945] : [3961 ^ _39717 : [(3962 ^ _39717) ^ [] : [-(in(3960 ^ [_127943, _127945], _127945))], (3964 ^ _39717) ^ [] : [in(3960 ^ [_127943, _127945], _127943)]], -(element(_127945, powerset(_127943)))], (3968 ^ _39717) ^ [_128316, _128318, _128320] : [relation(_128316), function(_128316), 3975 ^ _39717 : [(3976 ^ _39717) ^ [] : [in(_128318, relation_dom(relation_dom_restriction(_128316, _128320))), 3979 ^ _39717 : [(3980 ^ _39717) ^ [] : [-(in(_128318, relation_dom(_128316)))], (3982 ^ _39717) ^ [] : [-(in(_128318, _128320))]]], (3984 ^ _39717) ^ [] : [-(in(_128318, relation_dom(relation_dom_restriction(_128316, _128320)))), in(_128318, relation_dom(_128316)), in(_128318, _128320)]]], (3995 ^ _39717) ^ [] : [empty(3993 ^ [])], (3997 ^ _39717) ^ [] : [-(epsilon_transitive(3993 ^ []))], (3999 ^ _39717) ^ [] : [-(epsilon_connected(3993 ^ []))], (4001 ^ _39717) ^ [] : [-(ordinal(3993 ^ []))], (4003 ^ _39717) ^ [] : [-(natural(3993 ^ []))], (4006 ^ _39717) ^ [] : [empty(4004 ^ [])], (4008 ^ _39717) ^ [] : [-(finite(4004 ^ []))], (4011 ^ _39717) ^ [] : [-(relation(4009 ^ []))], (4013 ^ _39717) ^ [] : [-(function(4009 ^ []))], (4016 ^ _39717) ^ [_129761, _129763] : [-(relation_of2(4014 ^ [_129761, _129763], _129763, _129761))], (4018 ^ _39717) ^ [_129835, _129837] : [-(relation(4014 ^ [_129835, _129837]))], (4020 ^ _39717) ^ [_129907, _129909] : [-(function(4014 ^ [_129907, _129909]))], (4022 ^ _39717) ^ [_129959, _129961] : [-(quasi_total(4014 ^ [_129959, _129961], _129961, _129959))], (4025 ^ _39717) ^ [] : [-(epsilon_transitive(4023 ^ []))], (4027 ^ _39717) ^ [] : [-(epsilon_connected(4023 ^ []))], (4029 ^ _39717) ^ [] : [-(ordinal(4023 ^ []))], (4032 ^ _39717) ^ [] : [-(relation(4030 ^ []))], (4034 ^ _39717) ^ [] : [-(function(4030 ^ []))], (4036 ^ _39717) ^ [] : [-(one_to_one(4030 ^ []))], (4038 ^ _39717) ^ [] : [-(empty(4030 ^ []))], (4041 ^ _39717) ^ [] : [-(empty(4039 ^ []))], (4043 ^ _39717) ^ [] : [-(relation(4039 ^ []))], (4045 ^ _39717) ^ [_130695] : [-(empty(_130695)), 4049 ^ _39717 : [(4050 ^ _39717) ^ [] : [-(element(4048 ^ [_130695], powerset(_130695)))], (4052 ^ _39717) ^ [] : [empty(4048 ^ [_130695])]]], (4055 ^ _39717) ^ [] : [-(empty(4053 ^ []))], (4058 ^ _39717) ^ [_131207] : [-(element(4056 ^ [_131207], powerset(_131207)))], (4060 ^ _39717) ^ [_131278] : [-(empty(4056 ^ [_131278]))], (4062 ^ _39717) ^ [_131346] : [-(relation(4056 ^ [_131346]))], (4064 ^ _39717) ^ [_131414] : [-(function(4056 ^ [_131414]))], (4066 ^ _39717) ^ [_131482] : [-(one_to_one(4056 ^ [_131482]))], (4068 ^ _39717) ^ [_131550] : [-(epsilon_transitive(4056 ^ [_131550]))], (4070 ^ _39717) ^ [_131618] : [-(epsilon_connected(4056 ^ [_131618]))], (4072 ^ _39717) ^ [_131686] : [-(ordinal(4056 ^ [_131686]))], (4074 ^ _39717) ^ [_131754] : [-(natural(4056 ^ [_131754]))], (4076 ^ _39717) ^ [_131802] : [-(finite(4056 ^ [_131802]))], (4079 ^ _39717) ^ [] : [-(relation(4077 ^ []))], (4081 ^ _39717) ^ [] : [-(empty(4077 ^ []))], (4083 ^ _39717) ^ [] : [-(function(4077 ^ []))], (4086 ^ _39717) ^ [] : [-(relation(4084 ^ []))], (4088 ^ _39717) ^ [] : [-(function(4084 ^ []))], (4090 ^ _39717) ^ [] : [-(one_to_one(4084 ^ []))], (4092 ^ _39717) ^ [] : [-(empty(4084 ^ []))], (4094 ^ _39717) ^ [] : [-(epsilon_transitive(4084 ^ []))], (4096 ^ _39717) ^ [] : [-(epsilon_connected(4084 ^ []))], (4098 ^ _39717) ^ [] : [-(ordinal(4084 ^ []))], (4101 ^ _39717) ^ [_132646, _132648] : [-(relation_of2(4099 ^ [_132646, _132648], _132648, _132646))], (4103 ^ _39717) ^ [_132720, _132722] : [-(relation(4099 ^ [_132720, _132722]))], (4105 ^ _39717) ^ [_132772, _132774] : [-(function(4099 ^ [_132772, _132774]))], (4108 ^ _39717) ^ [] : [empty(4106 ^ [])], (4110 ^ _39717) ^ [] : [-(relation(4106 ^ []))], (4113 ^ _39717) ^ [_133078] : [-(element(4111 ^ [_133078], powerset(_133078)))], (4115 ^ _39717) ^ [_133129] : [-(empty(4111 ^ [_133129]))], (4118 ^ _39717) ^ [] : [empty(4116 ^ [])], (4120 ^ _39717) ^ [_133318] : [-(empty(_133318)), 4124 ^ _39717 : [(4125 ^ _39717) ^ [] : [-(element(4123 ^ [_133318], powerset(_133318)))], (4127 ^ _39717) ^ [] : [empty(4123 ^ [_133318])], (4129 ^ _39717) ^ [] : [-(finite(4123 ^ [_133318]))]]], (4132 ^ _39717) ^ [] : [-(relation(4130 ^ []))], (4134 ^ _39717) ^ [] : [-(function(4130 ^ []))], (4136 ^ _39717) ^ [] : [-(one_to_one(4130 ^ []))], (4139 ^ _39717) ^ [] : [empty(4137 ^ [])], (4141 ^ _39717) ^ [] : [-(epsilon_transitive(4137 ^ []))], (4143 ^ _39717) ^ [] : [-(epsilon_connected(4137 ^ []))], (4145 ^ _39717) ^ [] : [-(ordinal(4137 ^ []))], (4148 ^ _39717) ^ [] : [-(relation(4146 ^ []))], (4150 ^ _39717) ^ [] : [-(relation_empty_yielding(4146 ^ []))], (4153 ^ _39717) ^ [] : [-(relation(4151 ^ []))], (4155 ^ _39717) ^ [] : [-(relation_empty_yielding(4151 ^ []))], (4157 ^ _39717) ^ [] : [-(function(4151 ^ []))], (4159 ^ _39717) ^ [_134595, _134597, _134599] : [relation_of2(_134595, _134599, _134597), -(relation_dom_as_subset(_134599, _134597, _134595) = relation_dom(_134595))], (4165 ^ _39717) ^ [_134839, _134841, _134843] : [relation_of2(_134839, _134843, _134841), -(relation_rng_as_subset(_134843, _134841, _134839) = relation_rng(_134839))], (4171 ^ _39717) ^ [_135069, _135071] : [element(_135069, powerset(powerset(_135071))), -(union_of_subsets(_135071, _135069) = union(_135069))], (4177 ^ _39717) ^ [_135297, _135299] : [element(_135297, powerset(powerset(_135299))), -(meet_of_subsets(_135299, _135297) = set_meet(_135297))], (4183 ^ _39717) ^ [_135539, _135541, _135543] : [-(subset_difference(_135543, _135541, _135539) = set_difference(_135541, _135539)), element(_135541, powerset(_135543)), element(_135539, powerset(_135543))], (4193 ^ _39717) ^ [_135913, _135915, _135917] : [relation_of2_as_subset(_135913, _135917, _135915), -(relation_of2(_135913, _135917, _135915))], (4199 ^ _39717) ^ [_136085, _136087, _136089] : [relation_of2(_136085, _136089, _136087), -(relation_of2_as_subset(_136085, _136089, _136087))], (4205 ^ _39717) ^ [_136307, _136309] : [ordinal(_136309), ordinal(_136307), 4212 ^ _39717 : [(4213 ^ _39717) ^ [] : [ordinal_subset(_136309, _136307), -(subset(_136309, _136307))], (4219 ^ _39717) ^ [] : [subset(_136309, _136307), -(ordinal_subset(_136309, _136307))]]], (4225 ^ _39717) ^ [_136883, _136885] : [equipotent(_136885, _136883), -(are_equipotent(_136885, _136883))], (4231 ^ _39717) ^ [_137045, _137047] : [are_equipotent(_137047, _137045), -(equipotent(_137047, _137045))], (4237 ^ _39717) ^ [_137257, _137259] : [-(ordinal_subset(_137259, _137259)), ordinal(_137259), ordinal(_137257)], (4247 ^ _39717) ^ [_137537, _137539] : [-(subset(_137539, _137539))], (4249 ^ _39717) ^ [_137631, _137633] : [-(equipotent(_137633, _137633))], (4251 ^ _39717) ^ [_137740, _137742] : [-(empty(_137742)), relation(_137740), 4263 ^ _39717 : [(4290 ^ _39717) ^ [] : [4261 ^ [_137740, _137742] = 4262 ^ [_137740, _137742]], (4264 ^ _39717) ^ [] : [-(in(4260 ^ [_137740, _137742], _137742))], (4267 ^ _39717) ^ [] : [-(4260 ^ [_137740, _137742] = 4265 ^ [_137740, _137742])], (4269 ^ _39717) ^ [] : [-(in(4261 ^ [_137740, _137742], 4265 ^ [_137740, _137742]))], (4271 ^ _39717) ^ [_139022] : [in(_139022, 4265 ^ [_137740, _137742]), -(in(ordered_pair(4261 ^ [_137740, _137742], _139022), _137740))], (4277 ^ _39717) ^ [] : [-(in(4260 ^ [_137740, _137742], _137742))], (4280 ^ _39717) ^ [] : [-(4260 ^ [_137740, _137742] = 4278 ^ [_137740, _137742])], (4282 ^ _39717) ^ [] : [-(in(4262 ^ [_137740, _137742], 4278 ^ [_137740, _137742]))], (4284 ^ _39717) ^ [_139571] : [in(_139571, 4278 ^ [_137740, _137742]), -(in(ordered_pair(4262 ^ [_137740, _137742], _139571), _137740))]], 4292 ^ _39717 : [(4293 ^ _39717) ^ [] : [-(relation(4291 ^ [_137740, _137742]))], (4295 ^ _39717) ^ [] : [-(function(4291 ^ [_137740, _137742]))], (4297 ^ _39717) ^ [_140170, _140172] : [in(ordered_pair(_140172, _140170), 4291 ^ [_137740, _137742]), 4300 ^ _39717 : [(4301 ^ _39717) ^ [] : [-(in(_140172, _137742))], (4303 ^ _39717) ^ [] : [-(in(_140172, _137742))], (4306 ^ _39717) ^ [] : [-(_140172 = 4304 ^ [_137740, _137742, _140170, _140172])], (4308 ^ _39717) ^ [] : [-(in(_140170, 4304 ^ [_137740, _137742, _140170, _140172]))], (4310 ^ _39717) ^ [_140752] : [in(_140752, 4304 ^ [_137740, _137742, _140170, _140172]), -(in(ordered_pair(_140170, _140752), _137740))]]], (4316 ^ _39717) ^ [_140981, _140983] : [-(in(ordered_pair(_140983, _140981), 4291 ^ [_137740, _137742])), in(_140983, _137742), in(_140983, _137742), 4325 ^ _39717 : [(4326 ^ _39717) ^ [_141297] : [_140983 = _141297, in(_140981, _141297), 4334 ^ _39717 : [(4335 ^ _39717) ^ [] : [-(in(4333 ^ [_137740, _137742, _140981, _140983, _141297], _141297))], (4337 ^ _39717) ^ [] : [in(ordered_pair(_140981, 4333 ^ [_137740, _137742, _140981, _140983, _141297]), _137740)]]]]]]], (4341 ^ _39717) ^ [_141894] : [4345 ^ _39717 : [(4346 ^ _39717) ^ [] : [-(in(4342 ^ [_141894], _141894))], (4348 ^ _39717) ^ [] : [-(4343 ^ [_141894] = singleton(4342 ^ [_141894]))], (4350 ^ _39717) ^ [] : [-(in(4342 ^ [_141894], _141894))], (4352 ^ _39717) ^ [] : [-(4344 ^ [_141894] = singleton(4342 ^ [_141894]))], (4354 ^ _39717) ^ [] : [4343 ^ [_141894] = 4344 ^ [_141894]]], 4356 ^ _39717 : [(4357 ^ _39717) ^ [] : [-(relation(4355 ^ [_141894]))], (4359 ^ _39717) ^ [] : [-(function(4355 ^ [_141894]))], (4361 ^ _39717) ^ [_142956, _142958] : [in(ordered_pair(_142958, _142956), 4355 ^ [_141894]), 4364 ^ _39717 : [(4365 ^ _39717) ^ [] : [-(in(_142958, _141894))], (4367 ^ _39717) ^ [] : [-(in(_142958, _141894))], (4369 ^ _39717) ^ [] : [-(_142956 = singleton(_142958))]]], (4371 ^ _39717) ^ [_143299, _143301] : [-(in(ordered_pair(_143301, _143299), 4355 ^ [_141894])), in(_143301, _141894), in(_143301, _141894), _143299 = singleton(_143301)]]], (4385 ^ _39717) ^ [_143721] : [4386 ^ _39717 : [(4387 ^ _39717) ^ [_143842] : [ordinal(_143842), in(_143842, _143721)]], 4393 ^ _39717 : [(4394 ^ _39717) ^ [] : [-(ordinal(4392 ^ [_143721]))], (4396 ^ _39717) ^ [] : [-(in(4392 ^ [_143721], _143721))], (4398 ^ _39717) ^ [_144222] : [ordinal(_144222), in(_144222, _143721), -(ordinal_subset(4392 ^ [_143721], _144222))]]], (4408 ^ _39717) ^ [_144555, _144557, _144559] : [relation(_144557), relation(_144555), function(_144555), 4420 ^ _39717 : [(4421 ^ _39717) ^ [] : [-(relation(4419 ^ [_144555, _144557, _144559]))], (4423 ^ _39717) ^ [_145128, _145130] : [in(ordered_pair(_145130, _145128), 4419 ^ [_144555, _144557, _144559]), 4426 ^ _39717 : [(4427 ^ _39717) ^ [] : [-(in(_145130, _144559))], (4429 ^ _39717) ^ [] : [-(in(_145128, _144559))], (4431 ^ _39717) ^ [] : [-(in(ordered_pair(apply(_144555, _145130), apply(_144555, _145128)), _144557))]]], (4433 ^ _39717) ^ [_145517, _145519] : [-(in(ordered_pair(_145519, _145517), 4419 ^ [_144555, _144557, _144559])), in(_145519, _144559), in(_145517, _144559), in(ordered_pair(apply(_144555, _145519), apply(_144555, _145517)), _144557)]]], (4447 ^ _39717) ^ [_146008, _146010] : [-(empty(_146010)), relation(_146008), 4459 ^ _39717 : [(4486 ^ _39717) ^ [] : [4457 ^ [_146008, _146010] = 4458 ^ [_146008, _146010]], (4460 ^ _39717) ^ [] : [-(in(4456 ^ [_146008, _146010], _146010))], (4463 ^ _39717) ^ [] : [-(4456 ^ [_146008, _146010] = 4461 ^ [_146008, _146010])], (4465 ^ _39717) ^ [] : [-(in(4457 ^ [_146008, _146010], 4461 ^ [_146008, _146010]))], (4467 ^ _39717) ^ [_147277] : [in(_147277, 4461 ^ [_146008, _146010]), -(in(ordered_pair(4457 ^ [_146008, _146010], _147277), _146008))], (4473 ^ _39717) ^ [] : [-(in(4456 ^ [_146008, _146010], _146010))], (4476 ^ _39717) ^ [] : [-(4456 ^ [_146008, _146010] = 4474 ^ [_146008, _146010])], (4478 ^ _39717) ^ [] : [-(in(4458 ^ [_146008, _146010], 4474 ^ [_146008, _146010]))], (4480 ^ _39717) ^ [_147826] : [in(_147826, 4474 ^ [_146008, _146010]), -(in(ordered_pair(4458 ^ [_146008, _146010], _147826), _146008))]], 4488 ^ _39717 : [(4489 ^ _39717) ^ [_148254] : [in(_148254, 4487 ^ [_146008, _146010]), 4493 ^ _39717 : [(4494 ^ _39717) ^ [] : [-(in(4492 ^ [_146008, _146010, _148254], _146010))], (4496 ^ _39717) ^ [] : [-(in(4492 ^ [_146008, _146010, _148254], _146010))], (4499 ^ _39717) ^ [] : [-(4492 ^ [_146008, _146010, _148254] = 4497 ^ [_146008, _146010, _148254])], (4501 ^ _39717) ^ [] : [-(in(_148254, 4497 ^ [_146008, _146010, _148254]))], (4503 ^ _39717) ^ [_148943] : [in(_148943, 4497 ^ [_146008, _146010, _148254]), -(in(ordered_pair(_148254, _148943), _146008))]]], (4509 ^ _39717) ^ [_149160] : [-(in(_149160, 4487 ^ [_146008, _146010])), 4510 ^ _39717 : [(4511 ^ _39717) ^ [_149302] : [in(_149302, _146010), in(_149302, _146010), 4518 ^ _39717 : [(4519 ^ _39717) ^ [_149566] : [_149302 = _149566, in(_149160, _149566), 4527 ^ _39717 : [(4528 ^ _39717) ^ [] : [-(in(4526 ^ [_146008, _146010, _149160, _149302, _149566], _149566))], (4530 ^ _39717) ^ [] : [in(ordered_pair(_149160, 4526 ^ [_146008, _146010, _149160, _149302, _149566]), _146008)]]]]]]]]], (4534 ^ _39717) ^ [_150169, _150171] : [-(empty(_150171)), relation(_150169), 4541 ^ _39717 : [(4542 ^ _39717) ^ [_150637] : [4546 ^ _39717 : [(4585 ^ _39717) ^ [] : [4544 ^ [_150169, _150171, _150637] = 4545 ^ [_150169, _150171, _150637]], (4547 ^ _39717) ^ [] : [-(4543 ^ [_150169, _150171, _150637] = 4544 ^ [_150169, _150171, _150637])], (4551 ^ _39717) ^ [] : [-(ordered_pair(4548 ^ [_150169, _150171, _150637], 4549 ^ [_150169, _150171, _150637]) = 4544 ^ [_150169, _150171, _150637])], (4553 ^ _39717) ^ [] : [-(in(4548 ^ [_150169, _150171, _150637], _150171))], (4556 ^ _39717) ^ [] : [-(4548 ^ [_150169, _150171, _150637] = 4554 ^ [_150169, _150171, _150637])], (4558 ^ _39717) ^ [] : [-(in(4549 ^ [_150169, _150171, _150637], 4554 ^ [_150169, _150171, _150637]))], (4560 ^ _39717) ^ [_152415] : [in(_152415, 4554 ^ [_150169, _150171, _150637]), -(in(ordered_pair(4549 ^ [_150169, _150171, _150637], _152415), _150169))], (4566 ^ _39717) ^ [] : [-(4543 ^ [_150169, _150171, _150637] = 4545 ^ [_150169, _150171, _150637])], (4570 ^ _39717) ^ [] : [-(ordered_pair(4567 ^ [_150169, _150171, _150637], 4568 ^ [_150169, _150171, _150637]) = 4545 ^ [_150169, _150171, _150637])], (4572 ^ _39717) ^ [] : [-(in(4567 ^ [_150169, _150171, _150637], _150171))], (4575 ^ _39717) ^ [] : [-(4567 ^ [_150169, _150171, _150637] = 4573 ^ [_150169, _150171, _150637])], (4577 ^ _39717) ^ [] : [-(in(4568 ^ [_150169, _150171, _150637], 4573 ^ [_150169, _150171, _150637]))], (4579 ^ _39717) ^ [_153434] : [in(_153434, 4573 ^ [_150169, _150171, _150637]), -(in(ordered_pair(4568 ^ [_150169, _150171, _150637], _153434), _150169))]], 4587 ^ _39717 : [(4588 ^ _39717) ^ [_153924] : [in(_153924, 4586 ^ [_150169, _150171, _150637]), 4592 ^ _39717 : [(4593 ^ _39717) ^ [] : [-(in(4591 ^ [_150169, _150171, _150637, _153924], cartesian_product2(_150171, _150637)))], (4595 ^ _39717) ^ [] : [-(4591 ^ [_150169, _150171, _150637, _153924] = _153924)], (4599 ^ _39717) ^ [] : [-(ordered_pair(4596 ^ [_150169, _150171, _150637, _153924], 4597 ^ [_150169, _150171, _150637, _153924]) = _153924)], (4601 ^ _39717) ^ [] : [-(in(4596 ^ [_150169, _150171, _150637, _153924], _150171))], (4604 ^ _39717) ^ [] : [-(4596 ^ [_150169, _150171, _150637, _153924] = 4602 ^ [_150169, _150171, _150637, _153924])], (4606 ^ _39717) ^ [] : [-(in(4597 ^ [_150169, _150171, _150637, _153924], 4602 ^ [_150169, _150171, _150637, _153924]))], (4608 ^ _39717) ^ [_155155] : [in(_155155, 4602 ^ [_150169, _150171, _150637, _153924]), -(in(ordered_pair(4597 ^ [_150169, _150171, _150637, _153924], _155155), _150169))]]], (4614 ^ _39717) ^ [_155410] : [-(in(_155410, 4586 ^ [_150169, _150171, _150637])), 4615 ^ _39717 : [(4616 ^ _39717) ^ [_155586] : [in(_155586, cartesian_product2(_150171, _150637)), _155586 = _155410, 4623 ^ _39717 : [(4624 ^ _39717) ^ [_155905, _155907] : [ordered_pair(_155907, _155905) = _155410, in(_155907, _150171), 4631 ^ _39717 : [(4632 ^ _39717) ^ [_156203] : [_155907 = _156203, in(_155905, _156203), 4640 ^ _39717 : [(4641 ^ _39717) ^ [] : [-(in(4639 ^ [_150169, _150171, _150637, _155410, _155586, _155905, _155907, _156203], _156203))], (4643 ^ _39717) ^ [] : [in(ordered_pair(_155905, 4639 ^ [_150169, _150171, _150637, _155410, _155586, _155905, _155907, _156203]), _150169)]]]]]]]]]]]]], (4647 ^ _39717) ^ [_156872] : [4651 ^ _39717 : [(4652 ^ _39717) ^ [] : [-(in(4648 ^ [_156872], _156872))], (4654 ^ _39717) ^ [] : [-(4649 ^ [_156872] = singleton(4648 ^ [_156872]))], (4656 ^ _39717) ^ [] : [-(in(4648 ^ [_156872], _156872))], (4658 ^ _39717) ^ [] : [-(4650 ^ [_156872] = singleton(4648 ^ [_156872]))], (4660 ^ _39717) ^ [] : [4649 ^ [_156872] = 4650 ^ [_156872]]], 4662 ^ _39717 : [(4663 ^ _39717) ^ [_157758] : [in(_157758, 4661 ^ [_156872]), 4667 ^ _39717 : [(4668 ^ _39717) ^ [] : [-(in(4666 ^ [_156872, _157758], _156872))], (4670 ^ _39717) ^ [] : [-(in(4666 ^ [_156872, _157758], _156872))], (4672 ^ _39717) ^ [] : [-(_157758 = singleton(4666 ^ [_156872, _157758]))]]], (4674 ^ _39717) ^ [_158170] : [-(in(_158170, 4661 ^ [_156872])), 4675 ^ _39717 : [(4676 ^ _39717) ^ [_158277] : [in(_158277, _156872), in(_158277, _156872), _158170 = singleton(_158277)]]]]], (4688 ^ _39717) ^ [_158657, _158659] : [4692 ^ _39717 : [(4693 ^ _39717) ^ [] : [-(4689 ^ [_158657, _158659] = 4690 ^ [_158657, _158659])], (4697 ^ _39717) ^ [] : [-(ordered_pair(4694 ^ [_158657, _158659], 4695 ^ [_158657, _158659]) = 4690 ^ [_158657, _158659])], (4699 ^ _39717) ^ [] : [-(in(4694 ^ [_158657, _158659], _158659))], (4701 ^ _39717) ^ [] : [-(4695 ^ [_158657, _158659] = singleton(4694 ^ [_158657, _158659]))], (4703 ^ _39717) ^ [] : [-(4689 ^ [_158657, _158659] = 4691 ^ [_158657, _158659])], (4707 ^ _39717) ^ [] : [-(ordered_pair(4704 ^ [_158657, _158659], 4705 ^ [_158657, _158659]) = 4691 ^ [_158657, _158659])], (4709 ^ _39717) ^ [] : [-(in(4704 ^ [_158657, _158659], _158659))], (4711 ^ _39717) ^ [] : [-(4705 ^ [_158657, _158659] = singleton(4704 ^ [_158657, _158659]))], (4713 ^ _39717) ^ [] : [4690 ^ [_158657, _158659] = 4691 ^ [_158657, _158659]]], 4715 ^ _39717 : [(4716 ^ _39717) ^ [_160530] : [in(_160530, 4714 ^ [_158657, _158659]), 4720 ^ _39717 : [(4721 ^ _39717) ^ [] : [-(in(4719 ^ [_158657, _158659, _160530], cartesian_product2(_158659, _158657)))], (4723 ^ _39717) ^ [] : [-(4719 ^ [_158657, _158659, _160530] = _160530)], (4727 ^ _39717) ^ [] : [-(ordered_pair(4724 ^ [_158657, _158659, _160530], 4725 ^ [_158657, _158659, _160530]) = _160530)], (4729 ^ _39717) ^ [] : [-(in(4724 ^ [_158657, _158659, _160530], _158659))], (4731 ^ _39717) ^ [] : [-(4725 ^ [_158657, _158659, _160530] = singleton(4724 ^ [_158657, _158659, _160530]))]]], (4733 ^ _39717) ^ [_161370] : [-(in(_161370, 4714 ^ [_158657, _158659])), 4734 ^ _39717 : [(4735 ^ _39717) ^ [_161511] : [in(_161511, cartesian_product2(_158659, _158657)), _161511 = _161370, 4742 ^ _39717 : [(4743 ^ _39717) ^ [_161791, _161793] : [ordered_pair(_161793, _161791) = _161370, in(_161793, _158659), _161791 = singleton(_161793)]]]]]]], (4755 ^ _39717) ^ [_162238, _162240, _162242] : [relation(_162240), relation(_162238), function(_162238), 4771 ^ _39717 : [(4772 ^ _39717) ^ [] : [-(4768 ^ [_162238, _162240, _162242] = 4769 ^ [_162238, _162240, _162242])], (4776 ^ _39717) ^ [] : [-(4769 ^ [_162238, _162240, _162242] = ordered_pair(4773 ^ [_162238, _162240, _162242], 4774 ^ [_162238, _162240, _162242]))], (4778 ^ _39717) ^ [] : [-(in(ordered_pair(apply(_162238, 4773 ^ [_162238, _162240, _162242]), apply(_162238, 4774 ^ [_162238, _162240, _162242])), _162240))], (4780 ^ _39717) ^ [] : [-(4768 ^ [_162238, _162240, _162242] = 4770 ^ [_162238, _162240, _162242])], (4784 ^ _39717) ^ [] : [-(4770 ^ [_162238, _162240, _162242] = ordered_pair(4781 ^ [_162238, _162240, _162242], 4782 ^ [_162238, _162240, _162242]))], (4786 ^ _39717) ^ [] : [-(in(ordered_pair(apply(_162238, 4781 ^ [_162238, _162240, _162242]), apply(_162238, 4782 ^ [_162238, _162240, _162242])), _162240))], (4788 ^ _39717) ^ [] : [4769 ^ [_162238, _162240, _162242] = 4770 ^ [_162238, _162240, _162242]]], 4790 ^ _39717 : [(4791 ^ _39717) ^ [_164348] : [in(_164348, 4789 ^ [_162238, _162240, _162242]), 4795 ^ _39717 : [(4796 ^ _39717) ^ [] : [-(in(4794 ^ [_162238, _162240, _162242, _164348], cartesian_product2(_162242, _162242)))], (4798 ^ _39717) ^ [] : [-(4794 ^ [_162238, _162240, _162242, _164348] = _164348)], (4802 ^ _39717) ^ [] : [-(_164348 = ordered_pair(4799 ^ [_162238, _162240, _162242, _164348], 4800 ^ [_162238, _162240, _162242, _164348]))], (4804 ^ _39717) ^ [] : [-(in(ordered_pair(apply(_162238, 4799 ^ [_162238, _162240, _162242, _164348]), apply(_162238, 4800 ^ [_162238, _162240, _162242, _164348])), _162240))]]], (4806 ^ _39717) ^ [_165157] : [-(in(_165157, 4789 ^ [_162238, _162240, _162242])), 4807 ^ _39717 : [(4808 ^ _39717) ^ [_165305] : [in(_165305, cartesian_product2(_162242, _162242)), _165305 = _165157, 4815 ^ _39717 : [(4816 ^ _39717) ^ [_165596, _165598] : [_165157 = ordered_pair(_165598, _165596), in(ordered_pair(apply(_162238, _165598), apply(_162238, _165596)), _162240)]]]]]]], (4824 ^ _39717) ^ [_165944] : [4828 ^ _39717 : [(4829 ^ _39717) ^ [] : [-(4825 ^ [_165944] = 4826 ^ [_165944])], (4831 ^ _39717) ^ [] : [-(ordinal(4826 ^ [_165944]))], (4833 ^ _39717) ^ [] : [-(4825 ^ [_165944] = 4827 ^ [_165944])], (4835 ^ _39717) ^ [] : [-(ordinal(4827 ^ [_165944]))], (4837 ^ _39717) ^ [] : [4826 ^ [_165944] = 4827 ^ [_165944]]], 4839 ^ _39717 : [(4840 ^ _39717) ^ [_166779] : [in(_166779, 4838 ^ [_165944]), 4844 ^ _39717 : [(4845 ^ _39717) ^ [] : [-(in(4843 ^ [_165944, _166779], _165944))], (4847 ^ _39717) ^ [] : [-(4843 ^ [_165944, _166779] = _166779)], (4849 ^ _39717) ^ [] : [-(ordinal(_166779))]]], (4851 ^ _39717) ^ [_167175] : [-(in(_167175, 4838 ^ [_165944])), 4852 ^ _39717 : [(4853 ^ _39717) ^ [_167279] : [in(_167279, _165944), _167279 = _167175, ordinal(_167175)]]]]], (4865 ^ _39717) ^ [_167653, _167655] : [ordinal(_167653), 4873 ^ _39717 : [(4874 ^ _39717) ^ [] : [-(4870 ^ [_167653, _167655] = 4871 ^ [_167653, _167655])], (4877 ^ _39717) ^ [] : [-(ordinal(4875 ^ [_167653, _167655]))], (4879 ^ _39717) ^ [] : [-(4871 ^ [_167653, _167655] = 4875 ^ [_167653, _167655])], (4881 ^ _39717) ^ [] : [-(in(4875 ^ [_167653, _167655], _167655))], (4883 ^ _39717) ^ [] : [-(4870 ^ [_167653, _167655] = 4872 ^ [_167653, _167655])], (4886 ^ _39717) ^ [] : [-(ordinal(4884 ^ [_167653, _167655]))], (4888 ^ _39717) ^ [] : [-(4872 ^ [_167653, _167655] = 4884 ^ [_167653, _167655])], (4890 ^ _39717) ^ [] : [-(in(4884 ^ [_167653, _167655], _167655))], (4892 ^ _39717) ^ [] : [4871 ^ [_167653, _167655] = 4872 ^ [_167653, _167655]]], 4894 ^ _39717 : [(4895 ^ _39717) ^ [_169255] : [in(_169255, 4893 ^ [_167653, _167655]), 4899 ^ _39717 : [(4900 ^ _39717) ^ [] : [-(in(4898 ^ [_167653, _167655, _169255], succ(_167653)))], (4902 ^ _39717) ^ [] : [-(4898 ^ [_167653, _167655, _169255] = _169255)], (4905 ^ _39717) ^ [] : [-(ordinal(4903 ^ [_167653, _167655, _169255]))], (4907 ^ _39717) ^ [] : [-(_169255 = 4903 ^ [_167653, _167655, _169255])], (4909 ^ _39717) ^ [] : [-(in(4903 ^ [_167653, _167655, _169255], _167655))]]], (4911 ^ _39717) ^ [_169942] : [-(in(_169942, 4893 ^ [_167653, _167655])), 4912 ^ _39717 : [(4913 ^ _39717) ^ [_170071] : [in(_170071, succ(_167653)), _170071 = _169942, 4920 ^ _39717 : [(4921 ^ _39717) ^ [_170324] : [ordinal(_170324), _169942 = _170324, in(_170324, _167655)]]]]]]], (4933 ^ _39717) ^ [_170739, _170741] : [-(empty(_170741)), relation(_170739), 4941 ^ _39717 : [(4942 ^ _39717) ^ [_171205, _171207] : [in(_171205, 4940 ^ [_170739, _170741, _171207]), 4945 ^ _39717 : [(4946 ^ _39717) ^ [] : [-(in(_171205, cartesian_product2(_170741, _171207)))], (4950 ^ _39717) ^ [] : [-(ordered_pair(4947 ^ [_170739, _170741, _171205, _171207], 4948 ^ [_170739, _170741, _171205, _171207]) = _171205)], (4952 ^ _39717) ^ [] : [-(in(4947 ^ [_170739, _170741, _171205, _171207], _170741))], (4955 ^ _39717) ^ [] : [-(4947 ^ [_170739, _170741, _171205, _171207] = 4953 ^ [_170739, _170741, _171205, _171207])], (4957 ^ _39717) ^ [] : [-(in(4948 ^ [_170739, _170741, _171205, _171207], 4953 ^ [_170739, _170741, _171205, _171207]))], (4959 ^ _39717) ^ [_172207] : [in(_172207, 4953 ^ [_170739, _170741, _171205, _171207]), -(in(ordered_pair(4948 ^ [_170739, _170741, _171205, _171207], _172207), _170739))]]], (4965 ^ _39717) ^ [_172460, _172462] : [-(in(_172460, 4940 ^ [_170739, _170741, _172462])), in(_172460, cartesian_product2(_170741, _172462)), 4970 ^ _39717 : [(4971 ^ _39717) ^ [_172727, _172729] : [ordered_pair(_172729, _172727) = _172460, in(_172729, _170741), 4978 ^ _39717 : [(4979 ^ _39717) ^ [_173015] : [_172729 = _173015, in(_172727, _173015), 4987 ^ _39717 : [(4988 ^ _39717) ^ [] : [-(in(4986 ^ [_170739, _170741, _172460, _172462, _172727, _172729, _173015], _173015))], (4990 ^ _39717) ^ [] : [in(ordered_pair(_172727, 4986 ^ [_170739, _170741, _172460, _172462, _172727, _172729, _173015]), _170739)]]]]]]]]], (4995 ^ _39717) ^ [_173796, _173798, _173800] : [in(_173796, 4993 ^ [_173798, _173800]), 4998 ^ _39717 : [(4999 ^ _39717) ^ [] : [-(in(_173796, cartesian_product2(_173800, _173798)))], (5003 ^ _39717) ^ [] : [-(ordered_pair(5000 ^ [_173796, _173798, _173800], 5001 ^ [_173796, _173798, _173800]) = _173796)], (5005 ^ _39717) ^ [] : [-(in(5000 ^ [_173796, _173798, _173800], _173800))], (5007 ^ _39717) ^ [] : [-(5001 ^ [_173796, _173798, _173800] = singleton(5000 ^ [_173796, _173798, _173800]))]]], (5009 ^ _39717) ^ [_174442, _174444, _174446] : [-(in(_174442, 4993 ^ [_174444, _174446])), in(_174442, cartesian_product2(_174446, _174444)), 5014 ^ _39717 : [(5015 ^ _39717) ^ [_174668, _174670] : [ordered_pair(_174670, _174668) = _174442, in(_174670, _174446), _174668 = singleton(_174670)]]], (5027 ^ _39717) ^ [_175092, _175094, _175096] : [relation(_175094), relation(_175092), function(_175092), 5039 ^ _39717 : [(5040 ^ _39717) ^ [_175581] : [in(_175581, 5038 ^ [_175092, _175094, _175096]), 5043 ^ _39717 : [(5044 ^ _39717) ^ [] : [-(in(_175581, cartesian_product2(_175096, _175096)))], (5048 ^ _39717) ^ [] : [-(_175581 = ordered_pair(5045 ^ [_175092, _175094, _175096, _175581], 5046 ^ [_175092, _175094, _175096, _175581]))], (5050 ^ _39717) ^ [] : [-(in(ordered_pair(apply(_175092, 5045 ^ [_175092, _175094, _175096, _175581]), apply(_175092, 5046 ^ [_175092, _175094, _175096, _175581])), _175094))]]], (5052 ^ _39717) ^ [_176189] : [-(in(_176189, 5038 ^ [_175092, _175094, _175096])), in(_176189, cartesian_product2(_175096, _175096)), 5057 ^ _39717 : [(5058 ^ _39717) ^ [_176430, _176432] : [_176189 = ordered_pair(_176432, _176430), in(ordered_pair(apply(_175092, _176432), apply(_175092, _176430)), _175094)]]]]], (5067 ^ _39717) ^ [_176858, _176860] : [in(_176858, 5065 ^ [_176860]), 5070 ^ _39717 : [(5071 ^ _39717) ^ [] : [-(in(_176858, _176860))], (5073 ^ _39717) ^ [] : [-(ordinal(_176858))]]], (5075 ^ _39717) ^ [_177103, _177105] : [-(in(_177103, 5065 ^ [_177105])), in(_177103, _177105), ordinal(_177103)], (5085 ^ _39717) ^ [_177412, _177414] : [ordinal(_177412), 5089 ^ _39717 : [(5090 ^ _39717) ^ [_177685] : [in(_177685, 5088 ^ [_177412, _177414]), 5093 ^ _39717 : [(5094 ^ _39717) ^ [] : [-(in(_177685, succ(_177412)))], (5097 ^ _39717) ^ [] : [-(ordinal(5095 ^ [_177412, _177414, _177685]))], (5099 ^ _39717) ^ [] : [-(_177685 = 5095 ^ [_177412, _177414, _177685])], (5101 ^ _39717) ^ [] : [-(in(5095 ^ [_177412, _177414, _177685], _177414))]]], (5103 ^ _39717) ^ [_178194] : [-(in(_178194, 5088 ^ [_177412, _177414])), in(_178194, succ(_177412)), 5108 ^ _39717 : [(5109 ^ _39717) ^ [_178397] : [ordinal(_178397), _178194 = _178397, in(_178397, _177414)]]]]], (5121 ^ _39717) ^ [_178790, _178792] : [-(empty(_178792)), relation(_178790), 5178 ^ _39717 : [(5179 ^ _39717) ^ [] : [-(relation(5177 ^ [_178790, _178792]))], (5181 ^ _39717) ^ [] : [-(function(5177 ^ [_178790, _178792]))], (5183 ^ _39717) ^ [] : [-(relation_dom(5177 ^ [_178790, _178792]) = _178792)], (5185 ^ _39717) ^ [_181880] : [in(_181880, _178792), 5189 ^ _39717 : [(5190 ^ _39717) ^ [] : [-(_181880 = 5188 ^ [_178790, _178792, _181880])], (5192 ^ _39717) ^ [] : [-(in(apply(5177 ^ [_178790, _178792], _181880), 5188 ^ [_178790, _178792, _181880]))], (5194 ^ _39717) ^ [_182324] : [in(_182324, 5188 ^ [_178790, _178792, _181880]), -(in(ordered_pair(apply(5177 ^ [_178790, _178792], _181880), _182324), _178790))]]]], 5162 ^ _39717 : [(5163 ^ _39717) ^ [] : [-(in(5161 ^ [_178790, _178792], _178792))], (5165 ^ _39717) ^ [_181066, _181068] : [5161 ^ [_178790, _178792] = _181066, in(_181068, _181066), 5173 ^ _39717 : [(5174 ^ _39717) ^ [] : [-(in(5172 ^ [_178790, _178792, _181066, _181068], _181066))], (5176 ^ _39717) ^ [] : [in(ordered_pair(_181068, 5172 ^ [_178790, _178792, _181066, _181068]), _178790)]]]], 5135 ^ _39717 : [(5160 ^ _39717) ^ [] : [5133 ^ [_178790, _178792] = 5134 ^ [_178790, _178792]], (5136 ^ _39717) ^ [] : [-(in(5132 ^ [_178790, _178792], _178792))], (5139 ^ _39717) ^ [] : [-(5132 ^ [_178790, _178792] = 5137 ^ [_178790, _178792])], (5141 ^ _39717) ^ [] : [-(in(5133 ^ [_178790, _178792], 5137 ^ [_178790, _178792]))], (5143 ^ _39717) ^ [_180119] : [in(_180119, 5137 ^ [_178790, _178792]), -(in(ordered_pair(5133 ^ [_178790, _178792], _180119), _178790))], (5150 ^ _39717) ^ [] : [-(5132 ^ [_178790, _178792] = 5148 ^ [_178790, _178792])], (5152 ^ _39717) ^ [] : [-(in(5134 ^ [_178790, _178792], 5148 ^ [_178790, _178792]))], (5154 ^ _39717) ^ [_180595] : [in(_180595, 5148 ^ [_178790, _178792]), -(in(ordered_pair(5134 ^ [_178790, _178792], _180595), _178790))]]], (5200 ^ _39717) ^ [_182608] : [5206 ^ _39717 : [(5207 ^ _39717) ^ [] : [-(in(5203 ^ [_182608], _182608))], (5209 ^ _39717) ^ [] : [-(5204 ^ [_182608] = singleton(5203 ^ [_182608]))], (5211 ^ _39717) ^ [] : [-(5205 ^ [_182608] = singleton(5203 ^ [_182608]))], (5213 ^ _39717) ^ [] : [5204 ^ [_182608] = 5205 ^ [_182608]]], 5215 ^ _39717 : [(5216 ^ _39717) ^ [] : [-(in(5214 ^ [_182608], _182608))], (5218 ^ _39717) ^ [_183462] : [_183462 = singleton(5214 ^ [_182608])]], 5220 ^ _39717 : [(5221 ^ _39717) ^ [] : [-(relation(5219 ^ [_182608]))], (5223 ^ _39717) ^ [] : [-(function(5219 ^ [_182608]))], (5225 ^ _39717) ^ [] : [-(relation_dom(5219 ^ [_182608]) = _182608)], (5227 ^ _39717) ^ [_183834] : [in(_183834, _182608), -(apply(5219 ^ [_182608], _183834) = singleton(_183834))]]], (5234 ^ _39717) ^ [_184143] : [-(relation(5232 ^ [_184143]))], (5236 ^ _39717) ^ [_184211] : [-(function(5232 ^ [_184211]))], (5238 ^ _39717) ^ [_184279] : [-(relation_dom(5232 ^ [_184279]) = _184279)], (5240 ^ _39717) ^ [_184359, _184361] : [in(_184359, _184361), -(apply(5232 ^ [_184361], _184359) = singleton(_184359))], (5246 ^ _39717) ^ [_184595, _184597] : [disjoint(_184597, _184595), -(disjoint(_184595, _184597))], (5252 ^ _39717) ^ [_184805, _184807] : [equipotent(_184807, _184805), -(equipotent(_184805, _184807))], (5258 ^ _39717) ^ [_185072, _185074, _185076, _185078] : [in(ordered_pair(_185078, _185076), cartesian_product2(_185074, _185072)), 5261 ^ _39717 : [(5262 ^ _39717) ^ [] : [-(in(_185078, _185074))], (5264 ^ _39717) ^ [] : [-(in(_185076, _185072))]]], (5266 ^ _39717) ^ [_185337, _185339, _185341, _185343] : [-(in(ordered_pair(_185343, _185341), cartesian_product2(_185339, _185337))), in(_185343, _185339), in(_185341, _185337)], (5276 ^ _39717) ^ [_185641] : [-(in(_185641, succ(_185641)))], (5278 ^ _39717) ^ [_185778, _185780, _185782, _185784] : [unordered_pair(_185784, _185782) = unordered_pair(_185780, _185778), -(_185784 = _185780), -(_185784 = _185778)], (5288 ^ _39717) ^ [_186128, _186130, _186132] : [relation(_186128), 5291 ^ _39717 : [(5292 ^ _39717) ^ [] : [in(_186132, relation_rng(relation_rng_restriction(_186130, _186128))), 5295 ^ _39717 : [(5296 ^ _39717) ^ [] : [-(in(_186132, _186130))], (5298 ^ _39717) ^ [] : [-(in(_186132, relation_rng(_186128)))]]], (5300 ^ _39717) ^ [] : [-(in(_186132, relation_rng(relation_rng_restriction(_186130, _186128)))), in(_186132, _186130), in(_186132, relation_rng(_186128))]]], (5310 ^ _39717) ^ [_186787, _186789] : [relation(_186787), -(subset(relation_rng(relation_rng_restriction(_186789, _186787)), _186789))], (5316 ^ _39717) ^ [_187005, _187007] : [relation(_187005), -(subset(relation_rng_restriction(_187007, _187005), _187005))], (5322 ^ _39717) ^ [_187219, _187221] : [relation(_187219), -(subset(relation_rng(relation_rng_restriction(_187221, _187219)), relation_rng(_187219)))], (5328 ^ _39717) ^ [_187455, _187457, _187459] : [subset(_187459, _187457), 5331 ^ _39717 : [(5332 ^ _39717) ^ [] : [-(subset(cartesian_product2(_187459, _187455), cartesian_product2(_187457, _187455)))], (5334 ^ _39717) ^ [] : [-(subset(cartesian_product2(_187455, _187459), cartesian_product2(_187455, _187457)))]]], (5336 ^ _39717) ^ [_187772, _187774] : [relation(_187772), -(relation_rng(relation_rng_restriction(_187774, _187772)) = set_intersection2(relation_rng(_187772), _187774))], (5342 ^ _39717) ^ [_188028, _188030, _188032, _188034] : [-(subset(cartesian_product2(_188034, _188030), cartesian_product2(_188032, _188028))), subset(_188034, _188032), subset(_188030, _188028)], (5352 ^ _39717) ^ [_188373, _188375, _188377] : [relation_of2_as_subset(_188373, _188377, _188375), 5355 ^ _39717 : [(5356 ^ _39717) ^ [] : [-(subset(relation_dom(_188373), _188377))], (5358 ^ _39717) ^ [] : [-(subset(relation_rng(_188373), _188375))]]], (5360 ^ _39717) ^ [_188676, _188678] : [subset(_188678, _188676), -(set_union2(_188678, _188676) = _188676)], (5367 ^ _39717) ^ [_188998] : [-(in(_188998, 5365 ^ [_188998]))], (5369 ^ _39717) ^ [_189110, _189112, _189114] : [-(in(_189110, 5365 ^ [_189114])), in(_189112, 5365 ^ [_189114]), subset(_189110, _189112)], (5379 ^ _39717) ^ [_189425, _189427] : [in(_189425, 5365 ^ [_189427]), -(in(powerset(_189425), 5365 ^ [_189427]))], (5385 ^ _39717) ^ [_189625, _189627] : [subset(_189625, 5365 ^ [_189627]), -(are_equipotent(_189625, 5365 ^ [_189627])), -(in(_189625, 5365 ^ [_189627]))], (5395 ^ _39717) ^ [_189965, _189967] : [-(finite(_189967)), subset(_189967, _189965), finite(_189965)], (5405 ^ _39717) ^ [_190274, _190276, _190278] : [relation(_190274), -(relation_dom_restriction(relation_rng_restriction(_190278, _190274), _190276) = relation_rng_restriction(_190278, relation_dom_restriction(_190274, _190276)))], (5411 ^ _39717) ^ [_190526, _190528, _190530] : [relation(_190526), 5414 ^ _39717 : [(5415 ^ _39717) ^ [] : [in(_190530, relation_image(_190526, _190528)), 5419 ^ _39717 : [(5420 ^ _39717) ^ [] : [-(in(5418 ^ [_190526, _190528, _190530], relation_dom(_190526)))], (5422 ^ _39717) ^ [] : [-(in(ordered_pair(5418 ^ [_190526, _190528, _190530], _190530), _190526))], (5424 ^ _39717) ^ [] : [-(in(5418 ^ [_190526, _190528, _190530], _190528))]]], (5426 ^ _39717) ^ [] : [-(in(_190530, relation_image(_190526, _190528))), 5427 ^ _39717 : [(5428 ^ _39717) ^ [_191127] : [in(_191127, relation_dom(_190526)), in(ordered_pair(_191127, _190530), _190526), in(_191127, _190528)]]]]], (5440 ^ _39717) ^ [_191524, _191526] : [relation(_191524), -(subset(relation_image(_191524, _191526), relation_rng(_191524)))], (5446 ^ _39717) ^ [_191742, _191744] : [-(subset(relation_image(_191742, relation_inverse_image(_191742, _191744)), _191744)), relation(_191742), function(_191742)], (5456 ^ _39717) ^ [_192049, _192051] : [relation(_192049), -(relation_image(_192049, _192051) = relation_image(_192049, set_intersection2(relation_dom(_192049), _192051)))], (5462 ^ _39717) ^ [_192279, _192281] : [relation(_192279), subset(_192281, relation_dom(_192279)), -(subset(_192281, relation_inverse_image(_192279, relation_image(_192279, _192281))))], (5472 ^ _39717) ^ [_192578] : [relation(_192578), -(relation_image(_192578, relation_dom(_192578)) = relation_rng(_192578))], (5478 ^ _39717) ^ [_192794, _192796] : [relation(_192794), function(_192794), subset(_192796, relation_rng(_192794)), -(relation_image(_192794, relation_inverse_image(_192794, _192796)) = _192796)], (5492 ^ _39717) ^ [_193224, _193226, _193228, _193230] : [relation_of2_as_subset(_193224, _193226, _193230), subset(relation_rng(_193224), _193228), -(relation_of2_as_subset(_193224, _193226, _193228))], (5502 ^ _39717) ^ [_193537] : [relation(_193537), 5505 ^ _39717 : [(5506 ^ _39717) ^ [_193677] : [relation(_193677), -(relation_rng(relation_composition(_193537, _193677)) = relation_image(_193677, relation_rng(_193537)))]]], (5512 ^ _39717) ^ [_193926, _193928, _193930] : [relation(_193926), 5515 ^ _39717 : [(5516 ^ _39717) ^ [] : [in(_193930, relation_inverse_image(_193926, _193928)), 5520 ^ _39717 : [(5521 ^ _39717) ^ [] : [-(in(5519 ^ [_193926, _193928, _193930], relation_rng(_193926)))], (5523 ^ _39717) ^ [] : [-(in(ordered_pair(_193930, 5519 ^ [_193926, _193928, _193930]), _193926))], (5525 ^ _39717) ^ [] : [-(in(5519 ^ [_193926, _193928, _193930], _193928))]]], (5527 ^ _39717) ^ [] : [-(in(_193930, relation_inverse_image(_193926, _193928))), 5528 ^ _39717 : [(5529 ^ _39717) ^ [_194527] : [in(_194527, relation_rng(_193926)), in(ordered_pair(_193930, _194527), _193926), in(_194527, _193928)]]]]], (5541 ^ _39717) ^ [_194924, _194926] : [relation(_194924), -(subset(relation_inverse_image(_194924, _194926), relation_dom(_194924)))], (5547 ^ _39717) ^ [_195170, _195172, _195174, _195176] : [relation_of2_as_subset(_195170, _195172, _195176), subset(_195176, _195174), -(relation_of2_as_subset(_195170, _195172, _195174))], (5557 ^ _39717) ^ [_195507, _195509, _195511] : [relation(_195507), 5560 ^ _39717 : [(5561 ^ _39717) ^ [] : [in(_195511, relation_restriction(_195507, _195509)), 5564 ^ _39717 : [(5565 ^ _39717) ^ [] : [-(in(_195511, _195507))], (5567 ^ _39717) ^ [] : [-(in(_195511, cartesian_product2(_195509, _195509)))]]], (5569 ^ _39717) ^ [] : [-(in(_195511, relation_restriction(_195507, _195509))), in(_195511, _195507), in(_195511, cartesian_product2(_195509, _195509))]]], (5579 ^ _39717) ^ [_196163, _196165] : [relation(_196163), -(_196165 = empty_set), subset(_196165, relation_rng(_196163)), relation_inverse_image(_196163, _196165) = empty_set], (5593 ^ _39717) ^ [_196577, _196579, _196581] : [relation(_196577), subset(_196581, _196579), -(subset(relation_inverse_image(_196577, _196581), relation_inverse_image(_196577, _196579)))], (5603 ^ _39717) ^ [_196896, _196898] : [relation(_196896), -(relation_restriction(_196896, _196898) = relation_dom_restriction(relation_rng_restriction(_196898, _196896), _196898))], (5609 ^ _39717) ^ [_197107, _197109] : [-(subset(set_intersection2(_197109, _197107), _197109))], (5611 ^ _39717) ^ [_197219, _197221] : [relation(_197219), -(relation_restriction(_197219, _197221) = relation_rng_restriction(_197221, relation_dom_restriction(_197219, _197221)))], (5617 ^ _39717) ^ [_197459, _197461, _197463] : [relation(_197459), in(_197463, relation_field(relation_restriction(_197459, _197461))), 5624 ^ _39717 : [(5625 ^ _39717) ^ [] : [-(in(_197463, relation_field(_197459)))], (5627 ^ _39717) ^ [] : [-(in(_197463, _197461))]]], (5629 ^ _39717) ^ [_197871, _197873, _197875] : [-(subset(_197875, set_intersection2(_197873, _197871))), subset(_197875, _197873), subset(_197875, _197871)], (5639 ^ _39717) ^ [_198157] : [-(set_union2(_198157, empty_set) = _198157)], (5641 ^ _39717) ^ [_198267, _198269] : [in(_198269, _198267), -(element(_198269, _198267))], (5647 ^ _39717) ^ [_198491, _198493, _198495] : [-(subset(_198495, _198491)), subset(_198495, _198493), subset(_198493, _198491)], (5657 ^ _39717) ^ [] : [-(powerset(empty_set) = singleton(empty_set))], (5659 ^ _39717) ^ [_198867, _198869, _198871] : [relation(_198867), in(ordered_pair(_198871, _198869), _198867), 5666 ^ _39717 : [(5667 ^ _39717) ^ [] : [-(in(_198871, relation_dom(_198867)))], (5669 ^ _39717) ^ [] : [-(in(_198869, relation_rng(_198867)))]]], (5671 ^ _39717) ^ [_199265, _199267] : [relation(_199265), 5674 ^ _39717 : [(5675 ^ _39717) ^ [] : [-(subset(relation_field(relation_restriction(_199265, _199267)), relation_field(_199265)))], (5677 ^ _39717) ^ [] : [-(subset(relation_field(relation_restriction(_199265, _199267)), _199267))]]], (5679 ^ _39717) ^ [_199572, _199574] : [relation(_199572), function(_199572), 5686 ^ _39717 : [(5687 ^ _39717) ^ [_199822] : [relation(_199822), function(_199822), 5694 ^ _39717 : [(5695 ^ _39717) ^ [] : [in(_199574, relation_dom(relation_composition(_199822, _199572))), 5698 ^ _39717 : [(5699 ^ _39717) ^ [] : [-(in(_199574, relation_dom(_199822)))], (5701 ^ _39717) ^ [] : [-(in(apply(_199822, _199574), relation_dom(_199572)))]]], (5703 ^ _39717) ^ [] : [-(in(_199574, relation_dom(relation_composition(_199822, _199572)))), in(_199574, relation_dom(_199822)), in(apply(_199822, _199574), relation_dom(_199572))]]]]], (5713 ^ _39717) ^ [_200628, _200630, _200632, _200634] : [function(_200628), quasi_total(_200628, _200634, _200632), relation_of2_as_subset(_200628, _200634, _200632), 5724 ^ _39717 : [(5725 ^ _39717) ^ [_200997] : [relation(_200997), function(_200997), in(_200630, _200634), -(_200632 = empty_set), -(apply(relation_composition(_200628, _200997), _200630) = apply(_200997, apply(_200628, _200630)))]]], (5743 ^ _39717) ^ [_201554] : [epsilon_transitive(_201554), 5746 ^ _39717 : [(5747 ^ _39717) ^ [_201690] : [ordinal(_201690), proper_subset(_201554, _201690), -(in(_201554, _201690))]]], (5757 ^ _39717) ^ [_201980] : [relation(_201980), -(subset(_201980, cartesian_product2(relation_dom(_201980), relation_rng(_201980))))], (5763 ^ _39717) ^ [_202210, _202212, _202214] : [relation(_202210), -(subset(fiber(relation_restriction(_202210, _202214), _202212), fiber(_202210, _202212)))], (5769 ^ _39717) ^ [_202442, _202444] : [relation(_202442), function(_202442), 5776 ^ _39717 : [(5777 ^ _39717) ^ [_202691] : [relation(_202691), function(_202691), in(_202444, relation_dom(relation_composition(_202691, _202442))), -(apply(relation_composition(_202691, _202442), _202444) = apply(_202442, apply(_202691, _202444)))]]], (5791 ^ _39717) ^ [_203150, _203152, _203154] : [relation_of2_as_subset(_203150, _203152, _203154), 5794 ^ _39717 : [(5795 ^ _39717) ^ [] : [5797 ^ _39717 : [(5798 ^ _39717) ^ [] : [-(in(5796 ^ [_203150, _203152, _203154], _203152))], (5800 ^ _39717) ^ [_203508] : [in(ordered_pair(5796 ^ [_203150, _203152, _203154], _203508), _203150)]], -(relation_dom_as_subset(_203152, _203154, _203150) = _203152)], (5804 ^ _39717) ^ [] : [relation_dom_as_subset(_203152, _203154, _203150) = _203152, 5807 ^ _39717 : [(5808 ^ _39717) ^ [_203745] : [in(_203745, _203152), -(in(ordered_pair(_203745, 5811 ^ [_203150, _203152, _203154, _203745]), _203150))]]]]], (5815 ^ _39717) ^ [_204067, _204069] : [relation(_204067), reflexive(_204067), -(reflexive(relation_restriction(_204067, _204069)))], (5825 ^ _39717) ^ [_204366, _204368] : [relation(_204366), function(_204366), 5832 ^ _39717 : [(5833 ^ _39717) ^ [_204612] : [relation(_204612), function(_204612), in(_204368, relation_dom(_204366)), -(apply(relation_composition(_204366, _204612), _204368) = apply(_204612, apply(_204366, _204368)))]]], (5847 ^ _39717) ^ [_205051, _205053] : [ordinal(_205051), in(_205053, _205051), -(ordinal(_205053))], (5857 ^ _39717) ^ [_205360, _205362, _205364] : [relation_of2_as_subset(_205360, _205364, _205362), 5860 ^ _39717 : [(5861 ^ _39717) ^ [] : [5863 ^ _39717 : [(5864 ^ _39717) ^ [] : [-(in(5862 ^ [_205360, _205362, _205364], _205362))], (5866 ^ _39717) ^ [_205718] : [in(ordered_pair(_205718, 5862 ^ [_205360, _205362, _205364]), _205360)]], -(relation_rng_as_subset(_205364, _205362, _205360) = _205362)], (5870 ^ _39717) ^ [] : [relation_rng_as_subset(_205364, _205362, _205360) = _205362, 5873 ^ _39717 : [(5874 ^ _39717) ^ [_205955] : [in(_205955, _205362), -(in(ordered_pair(5877 ^ [_205360, _205362, _205364, _205955], _205955), _205360))]]]]], (5881 ^ _39717) ^ [_206277, _206279] : [relation(_206277), connected(_206277), -(connected(relation_restriction(_206277, _206279)))], (5891 ^ _39717) ^ [_206562] : [ordinal(_206562), 5894 ^ _39717 : [(5895 ^ _39717) ^ [_206712] : [ordinal(_206712), -(in(_206562, _206712)), -(_206562 = _206712), -(in(_206712, _206562))]]], (5909 ^ _39717) ^ [_207115, _207117] : [relation(_207115), transitive(_207115), -(transitive(relation_restriction(_207115, _207117)))], (5919 ^ _39717) ^ [_207400] : [relation(_207400), 5922 ^ _39717 : [(5923 ^ _39717) ^ [_207550] : [relation(_207550), subset(_207400, _207550), 5930 ^ _39717 : [(5931 ^ _39717) ^ [] : [-(subset(relation_dom(_207400), relation_dom(_207550)))], (5933 ^ _39717) ^ [] : [-(subset(relation_rng(_207400), relation_rng(_207550)))]]]]], (5935 ^ _39717) ^ [_207945, _207947] : [relation(_207945), antisymmetric(_207945), -(antisymmetric(relation_restriction(_207945, _207947)))], (5945 ^ _39717) ^ [_208244, _208246] : [relation(_208244), well_orders(_208244, _208246), 5952 ^ _39717 : [(5953 ^ _39717) ^ [] : [-(relation_field(relation_restriction(_208244, _208246)) = _208246)], (5955 ^ _39717) ^ [] : [-(well_ordering(relation_restriction(_208244, _208246)))]]], (5958 ^ _39717) ^ [_208665] : [-(relation(5956 ^ [_208665]))], (5960 ^ _39717) ^ [_208713] : [-(well_orders(5956 ^ [_208713], _208713))], (5962 ^ _39717) ^ [_208841, _208843, _208845] : [subset(_208845, _208843), -(subset(set_intersection2(_208845, _208841), set_intersection2(_208843, _208841)))], (5968 ^ _39717) ^ [_209055] : [-(empty(_209055)), 5974 ^ _39717 : [(5975 ^ _39717) ^ [] : [-(in(5973 ^ [_209055], _209055))], (5977 ^ _39717) ^ [] : [-(5973 ^ [_209055] = empty_set)]], 5979 ^ _39717 : [(5980 ^ _39717) ^ [] : [-(relation(5978 ^ [_209055]))], (5982 ^ _39717) ^ [] : [-(function(5978 ^ [_209055]))], (5984 ^ _39717) ^ [] : [-(relation_dom(5978 ^ [_209055]) = _209055)], (5986 ^ _39717) ^ [_209723] : [in(_209723, _209055), -(in(apply(5978 ^ [_209055], _209723), _209723))]]], (5992 ^ _39717) ^ [_209967, _209969] : [subset(_209969, _209967), -(set_intersection2(_209969, _209967) = _209969)], (5998 ^ _39717) ^ [_210154] : [-(set_intersection2(_210154, empty_set) = empty_set)], (6000 ^ _39717) ^ [_210264, _210266] : [element(_210266, _210264), -(empty(_210264)), -(in(_210266, _210264))], (6010 ^ _39717) ^ [_210562, _210564] : [-(_210564 = _210562), 6014 ^ _39717 : [(6015 ^ _39717) ^ [] : [-(in(6011 ^ [_210562, _210564], _210564))], (6017 ^ _39717) ^ [] : [in(6011 ^ [_210562, _210564], _210562)]], 6018 ^ _39717 : [(6019 ^ _39717) ^ [] : [-(in(6011 ^ [_210562, _210564], _210562))], (6021 ^ _39717) ^ [] : [in(6011 ^ [_210562, _210564], _210564)]]], (6025 ^ _39717) ^ [_211063] : [-(reflexive(inclusion_relation(_211063)))], (6027 ^ _39717) ^ [_211142] : [-(subset(empty_set, _211142))], (6029 ^ _39717) ^ [_211263, _211265, _211267] : [relation(_211263), in(ordered_pair(_211267, _211265), _211263), 6036 ^ _39717 : [(6037 ^ _39717) ^ [] : [-(in(_211267, relation_field(_211263)))], (6039 ^ _39717) ^ [] : [-(in(_211265, relation_field(_211263)))]]], (6041 ^ _39717) ^ [_211647] : [-(ordinal(_211647)), 6043 ^ _39717 : [(6044 ^ _39717) ^ [] : [-(in(6042 ^ [_211647], _211647))], (6046 ^ _39717) ^ [] : [ordinal(6042 ^ [_211647]), subset(6042 ^ [_211647], _211647)]]], (6054 ^ _39717) ^ [_212077, _212079] : [relation(_212077), well_founded_relation(_212077), -(well_founded_relation(relation_restriction(_212077, _212079)))], (6064 ^ _39717) ^ [_212376, _212378] : [ordinal(_212376), subset(_212378, _212376), -(_212378 = empty_set), 6076 ^ _39717 : [(6077 ^ _39717) ^ [] : [-(ordinal(6075 ^ [_212376, _212378]))], (6079 ^ _39717) ^ [] : [-(in(6075 ^ [_212376, _212378], _212378))], (6081 ^ _39717) ^ [_212928] : [ordinal(_212928), in(_212928, _212378), -(ordinal_subset(6075 ^ [_212376, _212378], _212928))]]], (6091 ^ _39717) ^ [_213270, _213272] : [relation(_213270), well_ordering(_213270), -(well_ordering(relation_restriction(_213270, _213272)))], (6101 ^ _39717) ^ [_213555] : [ordinal(_213555), 6104 ^ _39717 : [(6105 ^ _39717) ^ [_213693] : [ordinal(_213693), 6108 ^ _39717 : [(6109 ^ _39717) ^ [] : [in(_213555, _213693), -(ordinal_subset(succ(_213555), _213693))], (6115 ^ _39717) ^ [] : [ordinal_subset(succ(_213555), _213693), -(in(_213555, _213693))]]]]], (6121 ^ _39717) ^ [_214178, _214180, _214182] : [subset(_214182, _214180), -(subset(set_difference(_214182, _214178), set_difference(_214180, _214178)))], (6127 ^ _39717) ^ [_214434, _214436, _214438, _214440] : [ordered_pair(_214440, _214438) = ordered_pair(_214436, _214434), 6130 ^ _39717 : [(6131 ^ _39717) ^ [] : [-(_214440 = _214436)], (6133 ^ _39717) ^ [] : [-(_214438 = _214434)]]], (6135 ^ _39717) ^ [_214747, _214749] : [relation(_214747), function(_214747), 6142 ^ _39717 : [(6143 ^ _39717) ^ [] : [_214747 = identity_relation(_214749), 6146 ^ _39717 : [(6147 ^ _39717) ^ [] : [-(relation_dom(_214747) = _214749)], (6149 ^ _39717) ^ [_215166] : [in(_215166, _214749), -(apply(_214747, _215166) = _215166)]]], (6155 ^ _39717) ^ [] : [-(_214747 = identity_relation(_214749)), relation_dom(_214747) = _214749, 6161 ^ _39717 : [(6162 ^ _39717) ^ [] : [-(in(6160 ^ [_214747, _214749], _214749))], (6164 ^ _39717) ^ [] : [apply(_214747, 6160 ^ [_214747, _214749]) = 6160 ^ [_214747, _214749]]]]]], (6168 ^ _39717) ^ [_215771, _215773] : [in(_215771, _215773), -(apply(identity_relation(_215773), _215771) = _215771)], (6174 ^ _39717) ^ [_215976, _215978] : [-(subset(set_difference(_215978, _215976), _215978))], (6176 ^ _39717) ^ [_216074] : [relation(_216074), 6179 ^ _39717 : [(6180 ^ _39717) ^ [] : [-(relation_rng(_216074) = relation_dom(relation_inverse(_216074)))], (6182 ^ _39717) ^ [] : [-(relation_dom(_216074) = relation_rng(relation_inverse(_216074)))]]], (6184 ^ _39717) ^ [_216402, _216404] : [set_difference(_216404, _216402) = empty_set, -(subset(_216404, _216402))], (6190 ^ _39717) ^ [_216570, _216572] : [subset(_216572, _216570), -(set_difference(_216572, _216570) = empty_set)], (6196 ^ _39717) ^ [_216817, _216819] : [subset(singleton(_216819), _216817), -(in(_216819, _216817))], (6202 ^ _39717) ^ [_216983, _216985] : [in(_216985, _216983), -(subset(singleton(_216985), _216983))], (6208 ^ _39717) ^ [_217242, _217244, _217246] : [subset(unordered_pair(_217246, _217244), _217242), 6211 ^ _39717 : [(6212 ^ _39717) ^ [] : [-(in(_217246, _217242))], (6214 ^ _39717) ^ [] : [-(in(_217244, _217242))]]], (6216 ^ _39717) ^ [_217493, _217495, _217497] : [-(subset(unordered_pair(_217497, _217495), _217493)), in(_217497, _217493), in(_217495, _217493)], (6226 ^ _39717) ^ [_217810, _217812] : [relation(_217810), -(relation_field(relation_restriction(_217810, _217812)) = _217812), well_ordering(_217810), subset(_217812, relation_field(_217810))], (6240 ^ _39717) ^ [_218193, _218195] : [-(set_union2(_218195, set_difference(_218193, _218195)) = set_union2(_218195, _218193))], (6252 ^ _39717) ^ [_218600, _218602] : [6253 ^ _39717 : [(6254 ^ _39717) ^ [] : [_218602 = empty_set], (6256 ^ _39717) ^ [] : [_218602 = singleton(_218600)]], -(subset(_218602, singleton(_218600)))], (6242 ^ _39717) ^ [_218340, _218342] : [subset(_218342, singleton(_218340)), -(_218342 = empty_set), -(_218342 = singleton(_218340))], (6260 ^ _39717) ^ [_218865] : [-(set_difference(_218865, empty_set) = _218865)], (6262 ^ _39717) ^ [_218989, _218991, _218993] : [in(_218993, _218991), in(_218991, _218989), in(_218989, _218993)], (6272 ^ _39717) ^ [_219326, _219328] : [element(_219328, powerset(_219326)), -(subset(_219328, _219326))], (6278 ^ _39717) ^ [_219492, _219494] : [subset(_219494, _219492), -(element(_219494, powerset(_219492)))], (6284 ^ _39717) ^ [_219679] : [-(transitive(inclusion_relation(_219679)))], (6286 ^ _39717) ^ [_219807, _219809] : [-(disjoint(_219809, _219807)), 6290 ^ _39717 : [(6291 ^ _39717) ^ [] : [-(in(6289 ^ [_219807, _219809], _219809))], (6293 ^ _39717) ^ [] : [-(in(6289 ^ [_219807, _219809], _219807))]]], (6295 ^ _39717) ^ [_220121, _220123] : [disjoint(_220123, _220121), 6296 ^ _39717 : [(6297 ^ _39717) ^ [_220213] : [in(_220213, _220123), in(_220213, _220121)]]], (6305 ^ _39717) ^ [_220470] : [subset(_220470, empty_set), -(_220470 = empty_set)], (6311 ^ _39717) ^ [_220659, _220661] : [-(set_difference(set_union2(_220661, _220659), _220659) = set_difference(_220661, _220659))], (6313 ^ _39717) ^ [_220763] : [ordinal(_220763), 6316 ^ _39717 : [(6331 ^ _39717) ^ [] : [6333 ^ _39717 : [(6334 ^ _39717) ^ [] : [-(ordinal(6332 ^ [_220763]))], (6336 ^ _39717) ^ [] : [-(in(6332 ^ [_220763], _220763))], (6338 ^ _39717) ^ [] : [in(succ(6332 ^ [_220763]), _220763)]], -(being_limit_ordinal(_220763))], (6317 ^ _39717) ^ [] : [being_limit_ordinal(_220763), 6320 ^ _39717 : [(6321 ^ _39717) ^ [_221009] : [ordinal(_221009), in(_221009, _220763), -(in(succ(_221009), _220763))]]]]], (6342 ^ _39717) ^ [_221635] : [ordinal(_221635), 6345 ^ _39717 : [(6346 ^ _39717) ^ [] : [-(being_limit_ordinal(_221635)), 6350 ^ _39717 : [(6351 ^ _39717) ^ [] : [-(ordinal(6349 ^ [_221635]))], (6353 ^ _39717) ^ [] : [-(_221635 = succ(6349 ^ [_221635]))]]], (6355 ^ _39717) ^ [] : [being_limit_ordinal(_221635), 6356 ^ _39717 : [(6357 ^ _39717) ^ [_222106] : [ordinal(_222106), _221635 = succ(_222106)]]]]], (6365 ^ _39717) ^ [_222373, _222375] : [element(_222373, powerset(_222375)), 6368 ^ _39717 : [(6369 ^ _39717) ^ [_222525] : [element(_222525, powerset(_222375)), 6372 ^ _39717 : [(6373 ^ _39717) ^ [] : [disjoint(_222373, _222525), -(subset(_222373, subset_complement(_222375, _222525)))], (6379 ^ _39717) ^ [] : [subset(_222373, subset_complement(_222375, _222525)), -(disjoint(_222373, _222525))]]]]], (6385 ^ _39717) ^ [_223009] : [relation(_223009), 6388 ^ _39717 : [(6389 ^ _39717) ^ [_223146] : [relation(_223146), -(subset(relation_dom(relation_composition(_223009, _223146)), relation_dom(_223009)))]]], (6395 ^ _39717) ^ [_223361] : [relation(_223361), 6398 ^ _39717 : [(6399 ^ _39717) ^ [_223498] : [relation(_223498), -(subset(relation_rng(relation_composition(_223361, _223498)), relation_rng(_223498)))]]], (6405 ^ _39717) ^ [_223727, _223729] : [subset(_223729, _223727), -(_223727 = set_union2(_223729, set_difference(_223727, _223729)))], (6411 ^ _39717) ^ [_223977, _223979, _223981, _223983] : [function(_223977), quasi_total(_223977, _223983, _223981), relation_of2_as_subset(_223977, _223983, _223981), -(_223981 = empty_set), 6426 ^ _39717 : [(6427 ^ _39717) ^ [_224455] : [in(_224455, relation_inverse_image(_223977, _223979)), 6430 ^ _39717 : [(6431 ^ _39717) ^ [] : [-(in(_224455, _223983))], (6433 ^ _39717) ^ [] : [-(in(apply(_223977, _224455), _223979))]]], (6435 ^ _39717) ^ [_224736] : [-(in(_224736, relation_inverse_image(_223977, _223979))), in(_224736, _223983), in(apply(_223977, _224736), _223979)]]], (6445 ^ _39717) ^ [_225086] : [relation(_225086), 6448 ^ _39717 : [(6449 ^ _39717) ^ [_225233] : [relation(_225233), subset(relation_rng(_225086), relation_dom(_225233)), -(relation_dom(relation_composition(_225086, _225233)) = relation_dom(_225086))]]], (6459 ^ _39717) ^ [_225559, _225561] : [element(_225559, powerset(powerset(_225561))), -(_225559 = empty_set), complements_of_subsets(_225561, _225559) = empty_set], (6469 ^ _39717) ^ [_225876, _225878] : [in(_225878, _225876), -(set_union2(singleton(_225878), _225876) = _225876)], (6475 ^ _39717) ^ [_226082] : [relation(_226082), 6478 ^ _39717 : [(6479 ^ _39717) ^ [_226229] : [relation(_226229), subset(relation_dom(_226082), relation_rng(_226229)), -(relation_rng(relation_composition(_226229, _226082)) = relation_rng(_226082))]]], (6489 ^ _39717) ^ [_226555, _226557] : [element(_226555, powerset(powerset(_226557))), -(_226555 = empty_set), -(subset_difference(_226557, cast_to_subset(_226557), union_of_subsets(_226557, _226555)) = meet_of_subsets(_226557, complements_of_subsets(_226557, _226555)))], (6499 ^ _39717) ^ [_226895, _226897] : [element(_226895, powerset(powerset(_226897))), -(_226895 = empty_set), -(union_of_subsets(_226897, complements_of_subsets(_226897, _226895)) = subset_difference(_226897, cast_to_subset(_226897), meet_of_subsets(_226897, _226895)))], (6509 ^ _39717) ^ [_227220, _227222] : [-(set_difference(_227222, set_difference(_227222, _227220)) = set_intersection2(_227222, _227220))], (6511 ^ _39717) ^ [_227324] : [relation(_227324), 6514 ^ _39717 : [(6515 ^ _39717) ^ [_227479] : [relation(_227479), 6518 ^ _39717 : [(6519 ^ _39717) ^ [_227630] : [relation(_227630), function(_227630), relation_isomorphism(_227324, _227479, _227630), -(relation_isomorphism(_227479, _227324, function_inverse(_227630)))]]]]], (6533 ^ _39717) ^ [_228023] : [-(set_difference(empty_set, _228023) = empty_set)], (6535 ^ _39717) ^ [_228147, _228149, _228151] : [-(element(_228151, _228147)), in(_228151, _228149), element(_228149, powerset(_228147))], (6545 ^ _39717) ^ [_228446] : [ordinal(_228446), -(connected(inclusion_relation(_228446)))], (6551 ^ _39717) ^ [_228670, _228672] : [-(disjoint(_228672, _228670)), -(in(6554 ^ [_228670, _228672], set_intersection2(_228672, _228670)))], (6558 ^ _39717) ^ [_228905, _228907] : [6559 ^ _39717 : [(6560 ^ _39717) ^ [_228978] : [in(_228978, set_intersection2(_228907, _228905))]], disjoint(_228907, _228905)], (6564 ^ _39717) ^ [_229130] : [-(_229130 = empty_set), 6567 ^ _39717 : [(6568 ^ _39717) ^ [_229290] : [element(_229290, powerset(_229130)), 6571 ^ _39717 : [(6572 ^ _39717) ^ [_229444] : [element(_229444, _229130), -(in(_229444, _229290)), -(in(_229444, subset_complement(_229130, _229290)))]]]]], (6582 ^ _39717) ^ [_229762] : [relation(_229762), 6585 ^ _39717 : [(6586 ^ _39717) ^ [_229958] : [relation(_229958), 6589 ^ _39717 : [(6590 ^ _39717) ^ [_230150] : [relation(_230150), function(_230150), relation_isomorphism(_229762, _229958, _230150), 6601 ^ _39717 : [(6602 ^ _39717) ^ [] : [reflexive(_229762), -(reflexive(_229958))], (6608 ^ _39717) ^ [] : [transitive(_229762), -(transitive(_229958))], (6614 ^ _39717) ^ [] : [connected(_229762), -(connected(_229958))], (6620 ^ _39717) ^ [] : [antisymmetric(_229762), -(antisymmetric(_229958))], (6626 ^ _39717) ^ [] : [well_founded_relation(_229762), -(well_founded_relation(_229958))]]]]]]], (6632 ^ _39717) ^ [_231302] : [relation(_231302), function(_231302), one_to_one(_231302), 6643 ^ _39717 : [(6644 ^ _39717) ^ [_231689] : [relation(_231689), function(_231689), 6651 ^ _39717 : [(6682 ^ _39717) ^ [] : [-(_231689 = function_inverse(_231302)), relation_dom(_231689) = relation_rng(_231302), 6691 ^ _39717 : [(6692 ^ _39717) ^ [] : [-(in(6687 ^ [_231302, _231689], relation_rng(_231302)))], (6694 ^ _39717) ^ [] : [-(6688 ^ [_231302, _231689] = apply(_231689, 6687 ^ [_231302, _231689]))], (6696 ^ _39717) ^ [] : [in(6688 ^ [_231302, _231689], relation_dom(_231302)), 6687 ^ [_231302, _231689] = apply(_231302, 6688 ^ [_231302, _231689])]], 6701 ^ _39717 : [(6702 ^ _39717) ^ [] : [-(in(6688 ^ [_231302, _231689], relation_dom(_231302)))], (6704 ^ _39717) ^ [] : [-(6687 ^ [_231302, _231689] = apply(_231302, 6688 ^ [_231302, _231689]))], (6706 ^ _39717) ^ [] : [in(6687 ^ [_231302, _231689], relation_rng(_231302)), 6688 ^ [_231302, _231689] = apply(_231689, 6687 ^ [_231302, _231689])]]], (6652 ^ _39717) ^ [] : [_231689 = function_inverse(_231302), 6655 ^ _39717 : [(6656 ^ _39717) ^ [] : [-(relation_dom(_231689) = relation_rng(_231302))], (6658 ^ _39717) ^ [_232206, _232208] : [6665 ^ _39717 : [(6666 ^ _39717) ^ [] : [-(in(_232206, relation_dom(_231302)))], (6668 ^ _39717) ^ [] : [-(_232208 = apply(_231302, _232206))]], in(_232208, relation_rng(_231302)), _232206 = apply(_231689, _232208)], (6670 ^ _39717) ^ [_232580, _232582] : [6677 ^ _39717 : [(6678 ^ _39717) ^ [] : [-(in(_232582, relation_rng(_231302)))], (6680 ^ _39717) ^ [] : [-(_232580 = apply(_231689, _232582))]], in(_232580, relation_dom(_231302)), _232582 = apply(_231302, _232580)]]]]]]], (6714 ^ _39717) ^ [_234155, _234157, _234159] : [element(_234155, powerset(_234159)), in(_234157, subset_complement(_234159, _234155)), in(_234157, _234155)], (6724 ^ _39717) ^ [_234461] : [relation(_234461), 6727 ^ _39717 : [(6728 ^ _39717) ^ [_234617] : [relation(_234617), 6731 ^ _39717 : [(6732 ^ _39717) ^ [_234769] : [relation(_234769), function(_234769), -(well_ordering(_234617)), well_ordering(_234461), relation_isomorphism(_234461, _234617, _234769)]]]]], (6750 ^ _39717) ^ [_235260] : [relation(_235260), function(_235260), one_to_one(_235260), 6761 ^ _39717 : [(6762 ^ _39717) ^ [] : [-(relation_rng(_235260) = relation_dom(function_inverse(_235260)))], (6764 ^ _39717) ^ [] : [-(relation_dom(_235260) = relation_rng(function_inverse(_235260)))]]], (6766 ^ _39717) ^ [_235713] : [relation(_235713), -(in(ordered_pair(6771 ^ [_235713], 6772 ^ [_235713]), _235713)), -(_235713 = empty_set)], (6778 ^ _39717) ^ [_236131, _236133] : [relation(_236131), function(_236131), 6793 ^ _39717 : [(6794 ^ _39717) ^ [] : [-(_236133 = apply(_236131, apply(function_inverse(_236131), _236133)))], (6796 ^ _39717) ^ [] : [-(_236133 = apply(relation_composition(function_inverse(_236131), _236131), _236133))]], one_to_one(_236131), in(_236133, relation_rng(_236131))], (6798 ^ _39717) ^ [_236729, _236731, _236733] : [in(_236733, _236731), element(_236731, powerset(_236729)), empty(_236729)], (6808 ^ _39717) ^ [_237025] : [relation(_237025), 6811 ^ _39717 : [(6812 ^ _39717) ^ [] : [well_founded_relation(_237025), -(is_well_founded_in(_237025, relation_field(_237025)))], (6818 ^ _39717) ^ [] : [is_well_founded_in(_237025, relation_field(_237025)), -(well_founded_relation(_237025))]]], (6824 ^ _39717) ^ [_237441] : [-(antisymmetric(inclusion_relation(_237441)))], (6826 ^ _39717) ^ [] : [-(relation_dom(empty_set) = empty_set)], (6828 ^ _39717) ^ [] : [-(relation_rng(empty_set) = empty_set)], (6830 ^ _39717) ^ [_237657, _237659] : [subset(_237659, _237657), proper_subset(_237657, _237659)], (6836 ^ _39717) ^ [_237852] : [relation(_237852), function(_237852), one_to_one(_237852), -(one_to_one(function_inverse(_237852)))], (6850 ^ _39717) ^ [_238238, _238240, _238242] : [-(disjoint(_238242, _238238)), subset(_238242, _238240), disjoint(_238240, _238238)], (6860 ^ _39717) ^ [_238533] : [relation(_238533), 6865 ^ _39717 : [(6866 ^ _39717) ^ [] : [relation_dom(_238533) = empty_set], (6868 ^ _39717) ^ [] : [relation_rng(_238533) = empty_set]], -(_238533 = empty_set)], (6872 ^ _39717) ^ [_238886] : [relation(_238886), 6875 ^ _39717 : [(6876 ^ _39717) ^ [] : [relation_dom(_238886) = empty_set, -(relation_rng(_238886) = empty_set)], (6882 ^ _39717) ^ [] : [relation_rng(_238886) = empty_set, -(relation_dom(_238886) = empty_set)]]], (6888 ^ _39717) ^ [_239369, _239371] : [set_difference(_239371, singleton(_239369)) = _239371, in(_239369, _239371)], (6894 ^ _39717) ^ [_239542, _239544] : [-(in(_239542, _239544)), -(set_difference(_239544, singleton(_239542)) = _239544)], (6900 ^ _39717) ^ [_239767, _239769] : [relation(_239767), function(_239767), 6907 ^ _39717 : [(6908 ^ _39717) ^ [_240034] : [relation(_240034), function(_240034), 6915 ^ _39717 : [(6916 ^ _39717) ^ [] : [_239767 = relation_dom_restriction(_240034, _239769), 6919 ^ _39717 : [(6920 ^ _39717) ^ [] : [-(relation_dom(_239767) = set_intersection2(relation_dom(_240034), _239769))], (6922 ^ _39717) ^ [_240488] : [in(_240488, relation_dom(_239767)), -(apply(_239767, _240488) = apply(_240034, _240488))]]], (6928 ^ _39717) ^ [] : [-(_239767 = relation_dom_restriction(_240034, _239769)), relation_dom(_239767) = set_intersection2(relation_dom(_240034), _239769), 6934 ^ _39717 : [(6935 ^ _39717) ^ [] : [-(in(6933 ^ [_239767, _239769, _240034], relation_dom(_239767)))], (6937 ^ _39717) ^ [] : [apply(_239767, 6933 ^ [_239767, _239769, _240034]) = apply(_240034, 6933 ^ [_239767, _239769, _240034])]]]]]]], (6941 ^ _39717) ^ [_241127] : [-(unordered_pair(_241127, _241127) = singleton(_241127))], (6943 ^ _39717) ^ [_241225] : [empty(_241225), -(_241225 = empty_set)], (6949 ^ _39717) ^ [_241455, _241457, _241459, _241461] : [function(_241455), quasi_total(_241455, _241461, _241459), relation_of2_as_subset(_241455, _241461, _241459), in(_241457, _241461), -(_241459 = empty_set), -(in(apply(_241455, _241457), relation_rng(_241455)))], (6971 ^ _39717) ^ [_242068] : [ordinal(_242068), -(well_founded_relation(inclusion_relation(_242068)))], (6977 ^ _39717) ^ [_242272, _242274] : [subset(singleton(_242274), singleton(_242272)), -(_242274 = _242272)], (6983 ^ _39717) ^ [_242504, _242506, _242508] : [relation(_242504), function(_242504), in(_242506, relation_dom(relation_dom_restriction(_242504, _242508))), -(apply(relation_dom_restriction(_242504, _242508), _242506) = apply(_242504, _242506))], (6997 ^ _39717) ^ [_242923] : [-(relation_dom(identity_relation(_242923)) = _242923)], (6999 ^ _39717) ^ [_242971] : [-(relation_rng(identity_relation(_242971)) = _242971)], (7001 ^ _39717) ^ [_243098, _243100, _243102] : [relation(_243098), function(_243098), in(_243100, _243102), -(apply(relation_dom_restriction(_243098, _243102), _243100) = apply(_243098, _243100))], (7015 ^ _39717) ^ [_243544, _243546, _243548, _243550] : [relation(_243544), 7018 ^ _39717 : [(7019 ^ _39717) ^ [] : [in(ordered_pair(_243550, _243548), relation_composition(identity_relation(_243546), _243544)), 7022 ^ _39717 : [(7023 ^ _39717) ^ [] : [-(in(_243550, _243546))], (7025 ^ _39717) ^ [] : [-(in(ordered_pair(_243550, _243548), _243544))]]], (7027 ^ _39717) ^ [] : [-(in(ordered_pair(_243550, _243548), relation_composition(identity_relation(_243546), _243544))), in(_243550, _243546), in(ordered_pair(_243550, _243548), _243544)]]], (7037 ^ _39717) ^ [_244237, _244239] : [in(_244239, _244237), empty(_244237)], (7043 ^ _39717) ^ [_244449, _244451] : [-(pair_first(ordered_pair(_244451, _244449)) = _244451)], (7045 ^ _39717) ^ [_244500, _244502] : [-(pair_second(ordered_pair(_244502, _244500)) = _244500)], (7047 ^ _39717) ^ [_244616, _244618] : [in(_244618, _244616), 7051 ^ _39717 : [(7052 ^ _39717) ^ [] : [-(in(7050 ^ [_244616, _244618], _244616))], (7054 ^ _39717) ^ [_244907] : [in(_244907, _244616), in(_244907, 7050 ^ [_244616, _244618])]]], (7060 ^ _39717) ^ [_245133] : [ordinal(_245133), -(well_ordering(inclusion_relation(_245133)))], (7066 ^ _39717) ^ [_245322, _245324] : [-(subset(_245324, set_union2(_245324, _245322)))], (7068 ^ _39717) ^ [_245463, _245465] : [disjoint(_245465, _245463), -(set_difference(_245465, _245463) = _245465)], (7074 ^ _39717) ^ [_245631, _245633] : [set_difference(_245633, _245631) = _245633, -(disjoint(_245633, _245631))], (7080 ^ _39717) ^ [_245863, _245865, _245867] : [relation(_245863), 7083 ^ _39717 : [(7084 ^ _39717) ^ [] : [in(_245867, relation_dom(relation_dom_restriction(_245863, _245865))), 7087 ^ _39717 : [(7088 ^ _39717) ^ [] : [-(in(_245867, _245865))], (7090 ^ _39717) ^ [] : [-(in(_245867, relation_dom(_245863)))]]], (7092 ^ _39717) ^ [] : [-(in(_245867, relation_dom(relation_dom_restriction(_245863, _245865)))), in(_245867, _245865), in(_245867, relation_dom(_245863))]]], (7102 ^ _39717) ^ [_246522, _246524] : [relation(_246522), -(subset(relation_dom_restriction(_246522, _246524), _246522))], (7108 ^ _39717) ^ [_246736, _246738] : [empty(_246738), -(_246738 = _246736), empty(_246736)], (7118 ^ _39717) ^ [_247047, _247049, _247051] : [relation(_247047), function(_247047), 7125 ^ _39717 : [(7126 ^ _39717) ^ [] : [in(ordered_pair(_247051, _247049), _247047), 7129 ^ _39717 : [(7130 ^ _39717) ^ [] : [-(in(_247051, relation_dom(_247047)))], (7132 ^ _39717) ^ [] : [-(_247049 = apply(_247047, _247051))]]], (7134 ^ _39717) ^ [] : [-(in(ordered_pair(_247051, _247049), _247047)), in(_247051, relation_dom(_247047)), _247049 = apply(_247047, _247051)]]], (7144 ^ _39717) ^ [_247788] : [relation(_247788), 7147 ^ _39717 : [(7148 ^ _39717) ^ [] : [well_orders(_247788, relation_field(_247788)), -(well_ordering(_247788))], (7154 ^ _39717) ^ [] : [well_ordering(_247788), -(well_orders(_247788, relation_field(_247788)))]]], (7160 ^ _39717) ^ [_248247, _248249, _248251] : [-(subset(set_union2(_248251, _248247), _248249)), subset(_248251, _248249), subset(_248247, _248249)], (7170 ^ _39717) ^ [_248576, _248578, _248580] : [singleton(_248580) = unordered_pair(_248578, _248576), -(_248580 = _248578)], (7176 ^ _39717) ^ [_248802, _248804] : [relation(_248802), -(relation_dom(relation_dom_restriction(_248802, _248804)) = set_intersection2(relation_dom(_248802), _248804))], (7182 ^ _39717) ^ [_249030, _249032] : [in(_249032, _249030), -(subset(_249032, union(_249030)))], (7188 ^ _39717) ^ [_249244, _249246] : [relation(_249244), -(relation_dom_restriction(_249244, _249246) = relation_composition(identity_relation(_249246), _249244))], (7194 ^ _39717) ^ [_249468, _249470] : [relation(_249468), -(subset(relation_rng(relation_dom_restriction(_249468, _249470)), relation_rng(_249468)))], (7200 ^ _39717) ^ [_249661] : [-(union(powerset(_249661)) = _249661)], (7202 ^ _39717) ^ [_249800, _249802, _249804, _249806] : [function(_249800), quasi_total(_249800, _249806, _249804), relation_of2_as_subset(_249800, _249806, _249804), subset(_249804, _249802), 7219 ^ _39717 : [(7220 ^ _39717) ^ [] : [-(_249804 = empty_set)], (7222 ^ _39717) ^ [] : [_249806 = empty_set]], 7223 ^ _39717 : [(7224 ^ _39717) ^ [] : [-(function(_249800))], (7226 ^ _39717) ^ [] : [-(quasi_total(_249800, _249806, _249802))], (7228 ^ _39717) ^ [] : [-(relation_of2_as_subset(_249800, _249806, _249802))]]], (7266 ^ _39717) ^ [_252066, _252068, _252070] : [singleton(_252070) = unordered_pair(_252068, _252066), -(_252068 = _252066)], (7231 ^ _39717) ^ [_250786] : [-(in(_250786, 7229 ^ [_250786]))], (7233 ^ _39717) ^ [_250898, _250900, _250902] : [-(in(_250898, 7229 ^ [_250902])), in(_250900, 7229 ^ [_250902]), subset(_250898, _250900)], (7243 ^ _39717) ^ [_251213, _251215] : [in(_251213, 7229 ^ [_251215]), 7247 ^ _39717 : [(7248 ^ _39717) ^ [] : [-(in(7246 ^ [_251213, _251215], 7229 ^ [_251215]))], (7250 ^ _39717) ^ [_251525] : [subset(_251525, _251213), -(in(_251525, 7246 ^ [_251213, _251215]))]]], (7256 ^ _39717) ^ [_251732, _251734] : [subset(_251732, 7229 ^ [_251734]), -(are_equipotent(_251732, 7229 ^ [_251734])), -(in(_251732, 7229 ^ [_251734]))]], input).
% 0.42/1.39  ncf('1',plain,[finite(set_intersection2(7271 ^ [], 7272 ^ []))],start(7276 ^ 0)).
% 0.42/1.39  ncf('1.1',plain,[-(finite(set_intersection2(7271 ^ [], 7272 ^ []))), finite(7271 ^ [])],extension(3430 ^ 1,bind([[_110417, _110419], [7272 ^ [], 7271 ^ []]]))).
% 0.42/1.39  ncf('1.1.1',plain,[-(finite(7271 ^ []))],extension(7274 ^ 2)).
% 0.42/1.39  %-----------------------------------------------------
% 0.42/1.39  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------