%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU373+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n003.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 12:03:19 EDT 2023

% Result   : Theorem 146.72s 141.37s
% Output   : Proof 146.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU373+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n003.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu May 18 13:22:45 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 146.72/141.37  
% 146.72/141.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 146.72/141.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 146.72/141.37  %-----------------------------------------------------
% 146.72/141.37  ncf(matrix, plain, [(17189 ^ _97764) ^ [] : [-(one_sorted_str(17187 ^ []))], (17192 ^ _97764) ^ [] : [-(net_str(17190 ^ [], 17187 ^ []))], (17195 ^ _97764) ^ [] : [-(subnetstr(17193 ^ [], 17187 ^ [], 17190 ^ []))], (17197 ^ _97764) ^ [] : [subset(the_carrier(17193 ^ []), the_carrier(17190 ^ []))], (1424 ^ _97764) ^ [_117485, _117487, _117489, _117491, _117493, _117495] : [-(unordered_triple(_117495, _117491, _117487) = unordered_triple(_117493, _117489, _117485)), _117495 = _117493, _117491 = _117489, _117487 = _117485], (1438 ^ _97764) ^ [_117706, _117708, _117710, _117712, _117714, _117716] : [-(apply_netmap(_117716, _117712, _117708) = apply_netmap(_117714, _117710, _117706)), _117716 = _117714, _117712 = _117710, _117708 = _117706], (1452 ^ _97764) ^ [_117927, _117929, _117931, _117933] : [-(k8_filter_1(_117933, _117929) = k8_filter_1(_117931, _117927)), _117933 = _117931, _117929 = _117927], (1462 ^ _97764) ^ [_118076, _118078] : [_118078 = _118076, -(the_topology(_118078) = the_topology(_118076))], (1468 ^ _97764) ^ [_118161, _118163, _118165, _118167] : [-(the_mapping(_118167, _118163) = the_mapping(_118165, _118161)), _118167 = _118165, _118163 = _118161], (1478 ^ _97764) ^ [_118310, _118312] : [_118312 = _118310, -(empty_carrier_subset(_118312) = empty_carrier_subset(_118310))], (1484 ^ _97764) ^ [_118395, _118397] : [_118397 = _118395, -(the_L_join(_118397) = the_L_join(_118395))], (1490 ^ _97764) ^ [_118480, _118482] : [_118482 = _118480, -(the_L_meet(_118482) = the_L_meet(_118480))], (1496 ^ _97764) ^ [_118565, _118567] : [_118567 = _118565, -(a_1_0_filter_1(_118567) = a_1_0_filter_1(_118565))], (1502 ^ _97764) ^ [_118650, _118652, _118654, _118656] : [-(a_2_2_lattice3(_118656, _118652) = a_2_2_lattice3(_118654, _118650)), _118656 = _118654, _118652 = _118650], (1512 ^ _97764) ^ [_118799, _118801, _118803, _118805] : [-(a_2_3_lattice3(_118805, _118801) = a_2_3_lattice3(_118803, _118799)), _118805 = _118803, _118801 = _118799], (1522 ^ _97764) ^ [_118948, _118950, _118952, _118954] : [-(rel_str_of(_118954, _118950) = rel_str_of(_118952, _118948)), _118954 = _118952, _118950 = _118948], (1532 ^ _97764) ^ [_119097, _119099, _119101, _119103, _119105, _119107] : [-(latt_str_of(_119107, _119103, _119099) = latt_str_of(_119105, _119101, _119097)), _119107 = _119105, _119103 = _119101, _119099 = _119097], (1546 ^ _97764) ^ [_119318, _119320, _119322, _119324, _119326, _119328, _119330, _119332] : [-(k10_filter_1(_119332, _119328, _119324, _119320) = k10_filter_1(_119330, _119326, _119322, _119318)), _119332 = _119330, _119328 = _119326, _119324 = _119322, _119320 = _119318], (1564 ^ _97764) ^ [_119619, _119621] : [_119621 = _119619, -(k1_pcomps_1(_119621) = k1_pcomps_1(_119619))], (1570 ^ _97764) ^ [_119704, _119706, _119708, _119710] : [-(relation_restriction_as_relation_of(_119710, _119706) = relation_restriction_as_relation_of(_119708, _119704)), _119710 = _119708, _119706 = _119704], (1580 ^ _97764) ^ [_119853, _119855, _119857, _119859, _119861, _119863, _119865, _119867] : [-(apply_on_structs(_119867, _119863, _119859, _119855) = apply_on_structs(_119865, _119861, _119857, _119853)), _119867 = _119865, _119863 = _119861, _119859 = _119857, _119855 = _119853], (1598 ^ _97764) ^ [_120154, _120156, _120158, _120160, _120162, _120164, _120166, _120168, _120170, _120172, _120174, _120176] : [-(apply_binary_as_element(_120176, _120172, _120168, _120164, _120160, _120156) = apply_binary_as_element(_120174, _120170, _120166, _120162, _120158, _120154)), _120176 = _120174, _120172 = _120170, _120168 = _120166, _120164 = _120162, _120160 = _120158, _120156 = _120154], (1624 ^ _97764) ^ [_120639, _120641, _120643, _120645, _120647, _120649] : [-(apply_binary(_120649, _120645, _120641) = apply_binary(_120647, _120643, _120639)), _120649 = _120647, _120645 = _120643, _120641 = _120639], (1638 ^ _97764) ^ [_120860, _120862] : [_120862 = _120860, -(k2_lattice3(_120862) = k2_lattice3(_120860))], (1644 ^ _97764) ^ [_120945, _120947, _120949, _120951, _120953, _120955] : [-(unordered_pair_as_carrier_subset(_120955, _120951, _120947) = unordered_pair_as_carrier_subset(_120953, _120949, _120945)), _120955 = _120953, _120951 = _120949, _120947 = _120945], (1658 ^ _97764) ^ [_121166, _121168, _121170, _121172, _121174, _121176] : [-(join_commut(_121176, _121172, _121168) = join_commut(_121174, _121170, _121166)), _121176 = _121174, _121172 = _121170, _121168 = _121166], (1672 ^ _97764) ^ [_121387, _121389, _121391, _121393, _121395, _121397] : [-(subset_union2(_121397, _121393, _121389) = subset_union2(_121395, _121391, _121387)), _121397 = _121395, _121393 = _121391, _121389 = _121387], (1686 ^ _97764) ^ [_121608, _121610] : [_121610 = _121608, -(identity_as_relation_of(_121610) = identity_as_relation_of(_121608))], (1692 ^ _97764) ^ [_121693, _121695] : [_121695 = _121693, -(set_meet(_121695) = set_meet(_121693))], (1698 ^ _97764) ^ [_121778, _121780, _121782, _121784, _121786, _121788, _121790, _121792] : [-(relation_dom_restr_as_relation_of(_121792, _121788, _121784, _121780) = relation_dom_restr_as_relation_of(_121790, _121786, _121782, _121778)), _121792 = _121790, _121788 = _121786, _121784 = _121782, _121780 = _121778], (1716 ^ _97764) ^ [_122079, _122081, _122083, _122085, _122087, _122089] : [-(subset_intersection2(_122089, _122085, _122081) = subset_intersection2(_122087, _122083, _122079)), _122089 = _122087, _122085 = _122083, _122081 = _122079], (1730 ^ _97764) ^ [_122300, _122302, _122304, _122306] : [-(relation_image(_122306, _122302) = relation_image(_122304, _122300)), _122306 = _122304, _122302 = _122300], (1740 ^ _97764) ^ [_122449, _122451, _122453, _122455] : [-(relation_rng_restriction(_122455, _122451) = relation_rng_restriction(_122453, _122449)), _122455 = _122453, _122451 = _122449], (1750 ^ _97764) ^ [_122598, _122600, _122602, _122604, _122606, _122608] : [-(join(_122608, _122604, _122600) = join(_122606, _122602, _122598)), _122608 = _122606, _122604 = _122602, _122600 = _122598], (1764 ^ _97764) ^ [_122819, _122821, _122823, _122825, _122827, _122829] : [-(meet(_122829, _122825, _122821) = meet(_122827, _122823, _122819)), _122829 = _122827, _122825 = _122823, _122821 = _122819], (1778 ^ _97764) ^ [_123040, _123042] : [_123042 = _123040, -(the_InternalRel(_123042) = the_InternalRel(_123040))], (1784 ^ _97764) ^ [_123125, _123127] : [_123127 = _123125, -(inclusion_order(_123127) = inclusion_order(_123125))], (1790 ^ _97764) ^ [_123210, _123212, _123214, _123216] : [-(cartesian_product2(_123216, _123212) = cartesian_product2(_123214, _123210)), _123216 = _123214, _123212 = _123210], (1800 ^ _97764) ^ [_123359, _123361, _123363, _123365] : [-(fiber(_123365, _123361) = fiber(_123363, _123359)), _123365 = _123363, _123361 = _123359], (1810 ^ _97764) ^ [_123508, _123510] : [_123510 = _123508, -(cast_as_carrier_subset(_123510) = cast_as_carrier_subset(_123508))], (1816 ^ _97764) ^ [_123593, _123595, _123597, _123599, _123601, _123603] : [-(relation_dom_as_subset(_123603, _123599, _123595) = relation_dom_as_subset(_123601, _123597, _123593)), _123603 = _123601, _123599 = _123597, _123595 = _123593], (1830 ^ _97764) ^ [_123814, _123816, _123818, _123820, _123822, _123824] : [-(meet_commut(_123824, _123820, _123816) = meet_commut(_123822, _123818, _123814)), _123824 = _123822, _123820 = _123818, _123816 = _123814], (1844 ^ _97764) ^ [_124035, _124037, _124039, _124041, _124043, _124045] : [-(relation_rng_as_subset(_124045, _124041, _124037) = relation_rng_as_subset(_124043, _124039, _124035)), _124045 = _124043, _124041 = _124039, _124037 = _124035], (1858 ^ _97764) ^ [_124256, _124258, _124260, _124262] : [-(meet_on_relstr(_124262, _124258) = meet_on_relstr(_124260, _124256)), _124262 = _124260, _124258 = _124256], (1868 ^ _97764) ^ [_124405, _124407, _124409, _124411] : [-(join_on_relstr(_124411, _124407) = join_on_relstr(_124409, _124405)), _124411 = _124409, _124407 = _124405], (1878 ^ _97764) ^ [_124554, _124556, _124558, _124560] : [-(cast_to_el_of_lattice(_124560, _124556) = cast_to_el_of_lattice(_124558, _124554)), _124560 = _124558, _124556 = _124554], (1888 ^ _97764) ^ [_124703, _124705, _124707, _124709, _124711, _124713, _124715, _124717] : [-(ordered_pair_as_product_element(_124717, _124713, _124709, _124705) = ordered_pair_as_product_element(_124715, _124711, _124707, _124703)), _124717 = _124715, _124713 = _124711, _124709 = _124707, _124705 = _124703], (1906 ^ _97764) ^ [_125004, _125006] : [_125006 = _125004, -(relation_of_lattice(_125006) = relation_of_lattice(_125004))], (1912 ^ _97764) ^ [_125089, _125091, _125093, _125095] : [-(meet_of_latt_set(_125095, _125091) = meet_of_latt_set(_125093, _125089)), _125095 = _125093, _125091 = _125089], (1922 ^ _97764) ^ [_125238, _125240] : [_125240 = _125238, -(relation_inverse(_125240) = relation_inverse(_125238))], (1928 ^ _97764) ^ [_125323, _125325, _125327, _125329] : [-(relation_restriction(_125329, _125325) = relation_restriction(_125327, _125323)), _125329 = _125327, _125325 = _125323], (1938 ^ _97764) ^ [_125472, _125474] : [_125474 = _125472, -(boole_lattice(_125474) = boole_lattice(_125472))], (1944 ^ _97764) ^ [_125557, _125559] : [_125559 = _125557, -(succ(_125559) = succ(_125557))], (1950 ^ _97764) ^ [_125642, _125644] : [_125644 = _125642, -(bottom_of_relstr(_125644) = bottom_of_relstr(_125642))], (1956 ^ _97764) ^ [_125727, _125729, _125731, _125733] : [-(relation_inverse_image(_125733, _125729) = relation_inverse_image(_125731, _125727)), _125733 = _125731, _125729 = _125727], (1966 ^ _97764) ^ [_125876, _125878, _125880, _125882] : [-(union_of_subsets(_125882, _125878) = union_of_subsets(_125880, _125876)), _125882 = _125880, _125878 = _125876], (1976 ^ _97764) ^ [_126025, _126027, _126029, _126031] : [-(complements_of_subsets(_126031, _126027) = complements_of_subsets(_126029, _126025)), _126031 = _126029, _126027 = _126025], (1986 ^ _97764) ^ [_126174, _126176, _126178, _126180, _126182, _126184] : [-(subset_difference(_126184, _126180, _126176) = subset_difference(_126182, _126178, _126174)), _126184 = _126182, _126180 = _126178, _126176 = _126174], (2000 ^ _97764) ^ [_126395, _126397] : [_126397 = _126395, -(cast_to_subset(_126397) = cast_to_subset(_126395))], (2006 ^ _97764) ^ [_126480, _126482, _126484, _126486] : [-(meet_of_subsets(_126486, _126482) = meet_of_subsets(_126484, _126480)), _126486 = _126484, _126482 = _126480], (2016 ^ _97764) ^ [_126629, _126631] : [_126631 = _126629, -(boole_POSet(_126631) = boole_POSet(_126629))], (2022 ^ _97764) ^ [_126714, _126716] : [_126716 = _126714, -(incl_POSet(_126716) = incl_POSet(_126714))], (2028 ^ _97764) ^ [_126799, _126801] : [_126801 = _126799, -(bottom_of_semilattstr(_126801) = bottom_of_semilattstr(_126799))], (2034 ^ _97764) ^ [_126884, _126886, _126888, _126890] : [-(join_of_latt_set(_126890, _126886) = join_of_latt_set(_126888, _126884)), _126890 = _126888, _126886 = _126884], (2044 ^ _97764) ^ [_127033, _127035, _127037, _127039] : [-(subset_complement(_127039, _127035) = subset_complement(_127037, _127033)), _127039 = _127037, _127035 = _127033], (2054 ^ _97764) ^ [_127182, _127184, _127186, _127188] : [-(interior(_127188, _127184) = interior(_127186, _127182)), _127188 = _127186, _127184 = _127182], (2064 ^ _97764) ^ [_127331, _127333] : [_127333 = _127331, -(function_inverse(_127333) = function_inverse(_127331))], (2070 ^ _97764) ^ [_127416, _127418, _127420, _127422] : [-(topstr_closure(_127422, _127418) = topstr_closure(_127420, _127416)), _127422 = _127420, _127418 = _127416], (2080 ^ _97764) ^ [_127565, _127567] : [_127567 = _127565, -(poset_of_lattice(_127567) = poset_of_lattice(_127565))], (2086 ^ _97764) ^ [_127650, _127652, _127654, _127656] : [-(cast_to_el_of_LattPOSet(_127656, _127652) = cast_to_el_of_LattPOSet(_127654, _127650)), _127656 = _127654, _127652 = _127650], (2096 ^ _97764) ^ [_127799, _127801] : [_127801 = _127799, -(pair_first(_127801) = pair_first(_127799))], (2102 ^ _97764) ^ [_127884, _127886] : [_127886 = _127884, -(pair_second(_127886) = pair_second(_127884))], (2108 ^ _97764) ^ [_127969, _127971] : [_127971 = _127969, -(inclusion_relation(_127971) = inclusion_relation(_127969))], (2114 ^ _97764) ^ [_128054, _128056, _128058, _128060] : [-(set_difference(_128060, _128056) = set_difference(_128058, _128054)), _128060 = _128058, _128056 = _128054], (2124 ^ _97764) ^ [_128203, _128205, _128207, _128209] : [-(ordered_pair(_128209, _128205) = ordered_pair(_128207, _128203)), _128209 = _128207, _128205 = _128203], (2134 ^ _97764) ^ [_128352, _128354, _128356, _128358] : [-(apply(_128358, _128354) = apply(_128356, _128352)), _128358 = _128356, _128354 = _128352], (2144 ^ _97764) ^ [_128501, _128503] : [_128503 = _128501, -(relation_field(_128503) = relation_field(_128501))], (2150 ^ _97764) ^ [_128586, _128588, _128590, _128592] : [-(set_union2(_128592, _128588) = set_union2(_128590, _128586)), _128592 = _128590, _128588 = _128586], (2160 ^ _97764) ^ [_128735, _128737, _128739, _128741] : [-(set_intersection2(_128741, _128737) = set_intersection2(_128739, _128735)), _128741 = _128739, _128737 = _128735], (2170 ^ _97764) ^ [_128884, _128886] : [_128886 = _128884, -(relation_dom(_128886) = relation_dom(_128884))], (2176 ^ _97764) ^ [_128969, _128971, _128973, _128975, _128977, _128979, _128981, _128983] : [-(apply_as_element(_128983, _128979, _128975, _128971) = apply_as_element(_128981, _128977, _128973, _128969)), _128983 = _128981, _128979 = _128977, _128975 = _128973, _128971 = _128969], (2194 ^ _97764) ^ [_129270, _129272] : [_129272 = _129270, -(identity_on_carrier(_129272) = identity_on_carrier(_129270))], (2200 ^ _97764) ^ [_129355, _129357, _129359, _129361] : [-(relation_composition(_129361, _129357) = relation_composition(_129359, _129355)), _129361 = _129359, _129357 = _129355], (2210 ^ _97764) ^ [_129504, _129506] : [_129506 = _129504, -(identity_relation(_129506) = identity_relation(_129504))], (2216 ^ _97764) ^ [_129589, _129591, _129593, _129595] : [-(relation_dom_restriction(_129595, _129591) = relation_dom_restriction(_129593, _129589)), _129595 = _129593, _129591 = _129589], (2226 ^ _97764) ^ [_129738, _129740] : [_129740 = _129738, -(relation_rng(_129740) = relation_rng(_129738))], (2232 ^ _97764) ^ [_129823, _129825] : [_129825 = _129823, -(union(_129825) = union(_129823))], (2238 ^ _97764) ^ [_129908, _129910] : [_129910 = _129908, -(powerset(_129910) = powerset(_129908))], (2244 ^ _97764) ^ [_129993, _129995] : [_129995 = _129993, -(singleton(_129995) = singleton(_129993))], (2260 ^ _97764) ^ [_130223, _130225] : [_130225 = _130223, -(the_carrier(_130225) = the_carrier(_130223))], (2250 ^ _97764) ^ [_130078, _130080, _130082, _130084] : [-(unordered_pair(_130084, _130080) = unordered_pair(_130082, _130078)), _130084 = _130082, _130080 = _130078], (2 ^ _97764) ^ [_97794] : [-(_97794 = _97794)], (4 ^ _97764) ^ [_97817, _97819] : [_97819 = _97817, -(_97817 = _97819)], (10 ^ _97764) ^ [_97890, _97892, _97894] : [-(_97894 = _97890), _97894 = _97892, _97892 = _97890], (20 ^ _97764) ^ [_98027, _98029] : [-(v1_xcmplx_0(_98027)), _98029 = _98027, v1_xcmplx_0(_98029)], (30 ^ _97764) ^ [_98152, _98154] : [-(v1_xreal_0(_98152)), _98154 = _98152, v1_xreal_0(_98154)], (40 ^ _97764) ^ [_98277, _98279] : [-(v1_int_1(_98277)), _98279 = _98277, v1_int_1(_98279)], (50 ^ _97764) ^ [_98402, _98404] : [-(v1_rat_1(_98402)), _98404 = _98402, v1_rat_1(_98404)], (60 ^ _97764) ^ [_98527, _98529, _98531, _98533] : [-(is_antisymmetric_in(_98531, _98527)), is_antisymmetric_in(_98533, _98529), _98533 = _98531, _98529 = _98527], (74 ^ _97764) ^ [_98720, _98722, _98724, _98726] : [-(is_connected_in(_98724, _98720)), is_connected_in(_98726, _98722), _98726 = _98724, _98722 = _98720], (88 ^ _97764) ^ [_98913, _98915, _98917, _98919] : [-(is_transitive_in(_98917, _98913)), is_transitive_in(_98919, _98915), _98919 = _98917, _98915 = _98913], (102 ^ _97764) ^ [_99106, _99108, _99110, _99112] : [-(is_reflexive_in(_99110, _99106)), is_reflexive_in(_99112, _99108), _99112 = _99110, _99108 = _99106], (116 ^ _97764) ^ [_99299, _99301] : [-(cup_closed(_99299)), _99301 = _99299, cup_closed(_99301)], (126 ^ _97764) ^ [_99424, _99426] : [-(diff_closed(_99424)), _99426 = _99424, diff_closed(_99426)], (136 ^ _97764) ^ [_99549, _99551] : [-(preboolean(_99549)), _99551 = _99549, preboolean(_99551)], (146 ^ _97764) ^ [_99674, _99676, _99678, _99680] : [-(v1_binop_1(_99678, _99674)), v1_binop_1(_99680, _99676), _99680 = _99678, _99676 = _99674], (160 ^ _97764) ^ [_99867, _99869, _99871, _99873] : [-(v2_binop_1(_99871, _99867)), v2_binop_1(_99873, _99869), _99873 = _99871, _99869 = _99867], (174 ^ _97764) ^ [_100060, _100062] : [-(modular_lattstr(_100060)), _100062 = _100060, modular_lattstr(_100062)], (184 ^ _97764) ^ [_100185, _100187] : [-(distributive_lattstr(_100185)), _100187 = _100185, distributive_lattstr(_100187)], (194 ^ _97764) ^ [_100310, _100312] : [-(upper_bounded_semilattstr(_100310)), _100312 = _100310, upper_bounded_semilattstr(_100312)], (204 ^ _97764) ^ [_100435, _100437] : [-(bounded_lattstr(_100435)), _100437 = _100435, bounded_lattstr(_100437)], (214 ^ _97764) ^ [_100560, _100562] : [-(complemented_lattstr(_100560)), _100562 = _100560, complemented_lattstr(_100562)], (224 ^ _97764) ^ [_100685, _100687] : [-(boolean_lattstr(_100685)), _100687 = _100685, boolean_lattstr(_100687)], (234 ^ _97764) ^ [_100810, _100812] : [-(v1_membered(_100810)), _100812 = _100810, v1_membered(_100812)], (244 ^ _97764) ^ [_100935, _100937] : [-(v2_membered(_100935)), _100937 = _100935, v2_membered(_100937)], (254 ^ _97764) ^ [_101060, _101062] : [-(v3_membered(_101060)), _101062 = _101060, v3_membered(_101062)], (264 ^ _97764) ^ [_101185, _101187] : [-(v4_membered(_101185)), _101187 = _101185, v4_membered(_101187)], (274 ^ _97764) ^ [_101310, _101312] : [-(v5_membered(_101310)), _101312 = _101310, v5_membered(_101312)], (284 ^ _97764) ^ [_101435, _101437] : [-(trivial_carrier(_101435)), _101437 = _101435, trivial_carrier(_101437)], (294 ^ _97764) ^ [_101560, _101562] : [-(natural(_101560)), _101562 = _101560, natural(_101562)], (304 ^ _97764) ^ [_101685, _101687, _101689, _101691, _101693, _101695] : [-(onto(_101693, _101689, _101685)), onto(_101695, _101691, _101687), _101695 = _101693, _101691 = _101689, _101687 = _101685], (322 ^ _97764) ^ [_101954, _101956, _101958, _101960, _101962, _101964] : [-(bijective(_101962, _101958, _101954)), bijective(_101964, _101960, _101956), _101964 = _101962, _101960 = _101958, _101956 = _101954], (340 ^ _97764) ^ [_102223, _102225] : [-(strict_rel_str(_102223)), _102225 = _102223, strict_rel_str(_102225)], (350 ^ _97764) ^ [_102348, _102350] : [-(with_suprema_relstr(_102348)), _102350 = _102348, with_suprema_relstr(_102350)], (360 ^ _97764) ^ [_102473, _102475] : [-(with_infima_relstr(_102473)), _102475 = _102473, with_infima_relstr(_102475)], (370 ^ _97764) ^ [_102598, _102600] : [-(complete_relstr(_102598)), _102600 = _102598, complete_relstr(_102600)], (380 ^ _97764) ^ [_102723, _102725] : [-(upper_bounded_relstr(_102723)), _102725 = _102723, upper_bounded_relstr(_102725)], (390 ^ _97764) ^ [_102848, _102850] : [-(bounded_relstr(_102848)), _102850 = _102848, bounded_relstr(_102850)], (400 ^ _97764) ^ [_102973, _102975] : [-(epsilon_connected(_102973)), _102975 = _102973, epsilon_connected(_102975)], (410 ^ _97764) ^ [_103098, _103100] : [-(symmetric(_103098)), _103100 = _103098, symmetric(_103100)], (420 ^ _97764) ^ [_103223, _103225, _103227, _103229, _103231, _103233] : [-(v1_partfun1(_103231, _103227, _103223)), v1_partfun1(_103233, _103229, _103225), _103233 = _103231, _103229 = _103227, _103225 = _103223], (438 ^ _97764) ^ [_103492, _103494] : [-(relation_empty_yielding(_103492)), _103494 = _103492, relation_empty_yielding(_103494)], (448 ^ _97764) ^ [_103617, _103619] : [-(strict_latt_str(_103617)), _103619 = _103617, strict_latt_str(_103619)], (458 ^ _97764) ^ [_103742, _103744] : [-(join_associative(_103742)), _103744 = _103742, join_associative(_103744)], (468 ^ _97764) ^ [_103867, _103869] : [-(meet_associative(_103867)), _103869 = _103867, meet_associative(_103869)], (478 ^ _97764) ^ [_103992, _103994] : [-(meet_semilatt_str(_103992)), _103994 = _103992, meet_semilatt_str(_103994)], (488 ^ _97764) ^ [_104117, _104119, _104121, _104123, _104125, _104127] : [-(relation_of2(_104125, _104121, _104117)), relation_of2(_104127, _104123, _104119), _104127 = _104125, _104123 = _104121, _104119 = _104117], (506 ^ _97764) ^ [_104386, _104388] : [-(join_absorbing(_104386)), _104388 = _104386, join_absorbing(_104388)], (516 ^ _97764) ^ [_104511, _104513] : [-(reflexive_relstr(_104511)), _104513 = _104511, reflexive_relstr(_104513)], (526 ^ _97764) ^ [_104636, _104638, _104640, _104642] : [-(equipotent(_104640, _104636)), equipotent(_104642, _104638), _104642 = _104640, _104638 = _104636], (540 ^ _97764) ^ [_104829, _104831] : [-(compact_top_space(_104829)), _104831 = _104829, compact_top_space(_104831)], (550 ^ _97764) ^ [_104954, _104956] : [-(centered(_104954)), _104956 = _104954, centered(_104956)], (560 ^ _97764) ^ [_105079, _105081, _105083, _105085] : [-(open_subsets(_105083, _105079)), open_subsets(_105085, _105081), _105085 = _105083, _105081 = _105079], (574 ^ _97764) ^ [_105272, _105274, _105276, _105278] : [-(closed_subsets(_105276, _105272)), closed_subsets(_105278, _105274), _105278 = _105276, _105274 = _105272], (588 ^ _97764) ^ [_105465, _105467, _105469, _105471] : [-(directed_subset(_105469, _105465)), directed_subset(_105471, _105467), _105471 = _105469, _105467 = _105465], (602 ^ _97764) ^ [_105658, _105660] : [-(epsilon_transitive(_105658)), _105660 = _105658, epsilon_transitive(_105660)], (612 ^ _97764) ^ [_105783, _105785] : [-(meet_commutative(_105783)), _105785 = _105783, meet_commutative(_105785)], (622 ^ _97764) ^ [_105908, _105910] : [-(meet_absorbing(_105908)), _105910 = _105908, meet_absorbing(_105910)], (632 ^ _97764) ^ [_106033, _106035] : [-(finite(_106033)), _106035 = _106033, finite(_106035)], (642 ^ _97764) ^ [_106158, _106160] : [-(join_commutative(_106158)), _106160 = _106158, join_commutative(_106160)], (652 ^ _97764) ^ [_106283, _106285] : [-(join_semilatt_str(_106283)), _106285 = _106283, join_semilatt_str(_106285)], (662 ^ _97764) ^ [_106408, _106410] : [-(transitive_relstr(_106408)), _106410 = _106408, transitive_relstr(_106410)], (672 ^ _97764) ^ [_106533, _106535, _106537, _106539, _106541, _106543] : [-(below(_106541, _106537, _106533)), below(_106543, _106539, _106535), _106543 = _106541, _106539 = _106537, _106535 = _106533], (690 ^ _97764) ^ [_106802, _106804, _106806, _106808, _106810, _106812] : [-(latt_element_smaller(_106810, _106806, _106802)), latt_element_smaller(_106812, _106808, _106804), _106812 = _106810, _106808 = _106806, _106804 = _106802], (708 ^ _97764) ^ [_107071, _107073, _107075, _107077] : [-(ordinal_subset(_107075, _107071)), ordinal_subset(_107077, _107073), _107077 = _107075, _107073 = _107071], (722 ^ _97764) ^ [_107264, _107266, _107268, _107270, _107272, _107274] : [-(latt_set_smaller(_107272, _107268, _107264)), latt_set_smaller(_107274, _107270, _107266), _107274 = _107272, _107270 = _107268, _107266 = _107264], (740 ^ _97764) ^ [_107533, _107535] : [-(being_limit_ordinal(_107533)), _107535 = _107533, being_limit_ordinal(_107535)], (750 ^ _97764) ^ [_107658, _107660, _107662, _107664] : [-(ex_sup_of_relstr_set(_107662, _107658)), ex_sup_of_relstr_set(_107664, _107660), _107664 = _107662, _107660 = _107658], (764 ^ _97764) ^ [_107851, _107853, _107855, _107857] : [-(ex_inf_of_relstr_set(_107855, _107851)), ex_inf_of_relstr_set(_107857, _107853), _107857 = _107855, _107853 = _107851], (778 ^ _97764) ^ [_108044, _108046] : [-(antisymmetric_relstr(_108044)), _108046 = _108044, antisymmetric_relstr(_108046)], (788 ^ _97764) ^ [_108169, _108171] : [-(lower_bounded_relstr(_108169)), _108171 = _108169, lower_bounded_relstr(_108171)], (798 ^ _97764) ^ [_108294, _108296] : [-(complete_latt_str(_108294)), _108296 = _108294, complete_latt_str(_108296)], (808 ^ _97764) ^ [_108419, _108421] : [-(lower_bounded_semilattstr(_108419)), _108421 = _108419, lower_bounded_semilattstr(_108421)], (818 ^ _97764) ^ [_108544, _108546, _108548, _108550] : [-(closed_subset(_108548, _108544)), closed_subset(_108550, _108546), _108550 = _108548, _108546 = _108544], (832 ^ _97764) ^ [_108737, _108739] : [-(reflexive(_108737)), _108739 = _108737, reflexive(_108739)], (842 ^ _97764) ^ [_108862, _108864] : [-(transitive(_108862)), _108864 = _108862, transitive(_108864)], (852 ^ _97764) ^ [_108987, _108989] : [-(connected(_108987)), _108989 = _108987, connected(_108989)], (862 ^ _97764) ^ [_109112, _109114, _109116, _109118, _109120, _109122] : [-(relation_isomorphism(_109120, _109116, _109112)), relation_isomorphism(_109122, _109118, _109114), _109122 = _109120, _109118 = _109116, _109114 = _109112], (880 ^ _97764) ^ [_109381, _109383, _109385, _109387] : [-(open_subset(_109385, _109381)), open_subset(_109387, _109383), _109387 = _109385, _109383 = _109381], (894 ^ _97764) ^ [_109574, _109576, _109578, _109580] : [-(proper_element(_109578, _109574)), proper_element(_109580, _109576), _109580 = _109578, _109576 = _109574], (908 ^ _97764) ^ [_109767, _109769, _109771, _109773] : [-(is_a_cover_of_carrier(_109771, _109767)), is_a_cover_of_carrier(_109773, _109769), _109773 = _109771, _109769 = _109767], (922 ^ _97764) ^ [_109960, _109962, _109964, _109966] : [-(is_well_founded_in(_109964, _109960)), is_well_founded_in(_109966, _109962), _109966 = _109964, _109962 = _109960], (936 ^ _97764) ^ [_110153, _110155] : [-(antisymmetric(_110153)), _110155 = _110153, antisymmetric(_110155)], (946 ^ _97764) ^ [_110278, _110280, _110282, _110284] : [-(proper_subset(_110282, _110278)), proper_subset(_110284, _110280), _110284 = _110282, _110280 = _110278], (960 ^ _97764) ^ [_110471, _110473, _110475, _110477] : [-(full_subrelstr(_110475, _110471)), full_subrelstr(_110477, _110473), _110477 = _110475, _110473 = _110471], (974 ^ _97764) ^ [_110664, _110666, _110668, _110670] : [-(subrelstr(_110668, _110664)), subrelstr(_110670, _110666), _110670 = _110668, _110666 = _110664], (988 ^ _97764) ^ [_110857, _110859, _110861, _110863, _110865, _110867] : [-(related(_110865, _110861, _110857)), related(_110867, _110863, _110859), _110867 = _110865, _110863 = _110861, _110859 = _110857], (1006 ^ _97764) ^ [_111126, _111128] : [-(one_to_one(_111126)), _111128 = _111126, one_to_one(_111128)], (1016 ^ _97764) ^ [_111251, _111253] : [-(well_founded_relation(_111251)), _111253 = _111251, well_founded_relation(_111253)], (1026 ^ _97764) ^ [_111376, _111378] : [-(rel_str(_111376)), _111378 = _111376, rel_str(_111378)], (1036 ^ _97764) ^ [_111501, _111503, _111505, _111507, _111509, _111511] : [-(relstr_set_smaller(_111509, _111505, _111501)), relstr_set_smaller(_111511, _111507, _111503), _111511 = _111509, _111507 = _111505, _111503 = _111501], (1054 ^ _97764) ^ [_111770, _111772, _111774, _111776, _111778, _111780] : [-(relstr_element_smaller(_111778, _111774, _111770)), relstr_element_smaller(_111780, _111776, _111772), _111780 = _111778, _111776 = _111774, _111772 = _111770], (1072 ^ _97764) ^ [_112039, _112041] : [-(topological_space(_112039)), _112041 = _112039, topological_space(_112041)], (1082 ^ _97764) ^ [_112164, _112166] : [-(top_str(_112164)), _112166 = _112164, top_str(_112166)], (1092 ^ _97764) ^ [_112289, _112291, _112293, _112295, _112297, _112299] : [-(point_neighbourhood(_112297, _112293, _112289)), point_neighbourhood(_112299, _112295, _112291), _112299 = _112297, _112295 = _112293, _112291 = _112289], (1110 ^ _97764) ^ [_112558, _112560] : [-(lattice(_112558)), _112560 = _112558, lattice(_112560)], (1120 ^ _97764) ^ [_112683, _112685] : [-(latt_str(_112683)), _112685 = _112683, latt_str(_112685)], (1130 ^ _97764) ^ [_112808, _112810, _112812, _112814, _112816, _112818] : [-(below_refl(_112816, _112812, _112808)), below_refl(_112818, _112814, _112810), _112818 = _112816, _112814 = _112812, _112810 = _112808], (1148 ^ _97764) ^ [_113077, _113079, _113081, _113083, _113085, _113087] : [-(related_reflexive(_113085, _113081, _113077)), related_reflexive(_113087, _113083, _113079), _113087 = _113085, _113083 = _113081, _113079 = _113077], (1166 ^ _97764) ^ [_113346, _113348] : [-(ordinal(_113346)), _113348 = _113346, ordinal(_113348)], (1176 ^ _97764) ^ [_113471, _113473, _113475, _113477] : [-(disjoint(_113475, _113471)), disjoint(_113477, _113473), _113477 = _113475, _113473 = _113471], (1190 ^ _97764) ^ [_113664, _113666] : [-(empty(_113664)), _113666 = _113664, empty(_113666)], (1200 ^ _97764) ^ [_113789, _113791, _113793, _113795, _113797, _113799] : [-(is_eventually_in(_113797, _113793, _113789)), is_eventually_in(_113799, _113795, _113791), _113799 = _113797, _113795 = _113793, _113791 = _113789], (1218 ^ _97764) ^ [_114058, _114060, _114062, _114064, _114066, _114068] : [-(is_often_in(_114066, _114062, _114058)), is_often_in(_114068, _114064, _114060), _114068 = _114066, _114064 = _114062, _114060 = _114058], (1236 ^ _97764) ^ [_114327, _114329, _114331, _114333] : [-(well_orders(_114331, _114327)), well_orders(_114333, _114329), _114333 = _114331, _114329 = _114327], (1250 ^ _97764) ^ [_114520, _114522] : [-(well_ordering(_114520)), _114522 = _114520, well_ordering(_114522)], (1260 ^ _97764) ^ [_114645, _114647] : [-(empty_carrier(_114645)), _114647 = _114645, empty_carrier(_114647)], (1270 ^ _97764) ^ [_114770, _114772, _114774, _114776] : [-(element(_114774, _114770)), element(_114776, _114772), _114776 = _114774, _114772 = _114770], (1284 ^ _97764) ^ [_114963, _114965] : [-(relation(_114963)), _114965 = _114963, relation(_114965)], (1294 ^ _97764) ^ [_115088, _115090] : [-(function(_115088)), _115090 = _115088, function(_115090)], (1304 ^ _97764) ^ [_115213, _115215, _115217, _115219, _115221, _115223] : [-(quasi_total(_115221, _115217, _115213)), quasi_total(_115223, _115219, _115215), _115223 = _115221, _115219 = _115217, _115215 = _115213], (1322 ^ _97764) ^ [_115482, _115484, _115486, _115488, _115490, _115492] : [-(relation_of2_as_subset(_115490, _115486, _115482)), relation_of2_as_subset(_115492, _115488, _115484), _115492 = _115490, _115488 = _115486, _115484 = _115482], (1340 ^ _97764) ^ [_115751, _115753, _115755, _115757] : [-(are_equipotent(_115755, _115751)), are_equipotent(_115757, _115753), _115757 = _115755, _115753 = _115751], (1354 ^ _97764) ^ [_115944, _115946, _115948, _115950] : [-(in(_115948, _115944)), in(_115950, _115946), _115950 = _115948, _115946 = _115944], (1368 ^ _97764) ^ [_116137, _116139] : [-(one_sorted_str(_116137)), _116139 = _116137, one_sorted_str(_116139)], (1378 ^ _97764) ^ [_116262, _116264, _116266, _116268] : [-(net_str(_116266, _116262)), net_str(_116268, _116264), _116268 = _116266, _116264 = _116262], (1410 ^ _97764) ^ [_116720, _116722, _116724, _116726] : [-(subset(_116724, _116720)), subset(_116726, _116722), _116726 = _116724, _116722 = _116720], (1392 ^ _97764) ^ [_116455, _116457, _116459, _116461, _116463, _116465] : [-(subnetstr(_116463, _116459, _116455)), subnetstr(_116465, _116461, _116457), _116465 = _116463, _116461 = _116459, _116457 = _116455], (2266 ^ _97764) ^ [_130660] : [rel_str(_130660), strict_rel_str(_130660), -(_130660 = rel_str_of(the_carrier(_130660), the_InternalRel(_130660)))], (2276 ^ _97764) ^ [_130795] : [latt_str(_130795), strict_latt_str(_130795), -(_130795 = latt_str_of(the_carrier(_130795), the_L_join(_130795), the_L_meet(_130795)))], (2286 ^ _97764) ^ [_130936, _130938] : [in(_130938, _130936), in(_130936, _130938)], (2292 ^ _97764) ^ [_131014, _131016] : [proper_subset(_131016, _131014), proper_subset(_131014, _131016)], (2298 ^ _97764) ^ [_131092] : [v1_membered(_131092), 2301 ^ _97764 : [(2302 ^ _97764) ^ [_131150] : [element(_131150, _131092), -(v1_xcmplx_0(_131150))]]], (2308 ^ _97764) ^ [_131229] : [v2_membered(_131229), 2311 ^ _97764 : [(2312 ^ _97764) ^ [_131292] : [element(_131292, _131229), 2315 ^ _97764 : [(2316 ^ _97764) ^ [] : [-(v1_xcmplx_0(_131292))], (2318 ^ _97764) ^ [] : [-(v1_xreal_0(_131292))]]]]], (2320 ^ _97764) ^ [_131395] : [v3_membered(_131395), 2323 ^ _97764 : [(2324 ^ _97764) ^ [_131463] : [element(_131463, _131395), 2327 ^ _97764 : [(2328 ^ _97764) ^ [] : [-(v1_xcmplx_0(_131463))], (2330 ^ _97764) ^ [] : [-(v1_xreal_0(_131463))], (2332 ^ _97764) ^ [] : [-(v1_rat_1(_131463))]]]]], (2334 ^ _97764) ^ [_131588] : [v4_membered(_131588), 2337 ^ _97764 : [(2338 ^ _97764) ^ [_131661] : [element(_131661, _131588), 2341 ^ _97764 : [(2342 ^ _97764) ^ [] : [-(v1_xcmplx_0(_131661))], (2344 ^ _97764) ^ [] : [-(v1_xreal_0(_131661))], (2346 ^ _97764) ^ [] : [-(v1_int_1(_131661))], (2348 ^ _97764) ^ [] : [-(v1_rat_1(_131661))]]]]], (2350 ^ _97764) ^ [_131808] : [v5_membered(_131808), 2353 ^ _97764 : [(2354 ^ _97764) ^ [_131886] : [element(_131886, _131808), 2357 ^ _97764 : [(2358 ^ _97764) ^ [] : [-(v1_xcmplx_0(_131886))], (2360 ^ _97764) ^ [] : [-(natural(_131886))], (2362 ^ _97764) ^ [] : [-(v1_xreal_0(_131886))], (2364 ^ _97764) ^ [] : [-(v1_int_1(_131886))], (2366 ^ _97764) ^ [] : [-(v1_rat_1(_131886))]]]]], (2368 ^ _97764) ^ [_132055] : [empty(_132055), 2371 ^ _97764 : [(2372 ^ _97764) ^ [] : [-(v1_membered(_132055))], (2374 ^ _97764) ^ [] : [-(v2_membered(_132055))], (2376 ^ _97764) ^ [] : [-(v3_membered(_132055))], (2378 ^ _97764) ^ [] : [-(v4_membered(_132055))], (2380 ^ _97764) ^ [] : [-(v5_membered(_132055))]]], (2382 ^ _97764) ^ [_132216] : [v1_membered(_132216), 2385 ^ _97764 : [(2386 ^ _97764) ^ [_132276] : [element(_132276, powerset(_132216)), -(v1_membered(_132276))]]], (2392 ^ _97764) ^ [_132359] : [v2_membered(_132359), 2395 ^ _97764 : [(2396 ^ _97764) ^ [_132424] : [element(_132424, powerset(_132359)), 2399 ^ _97764 : [(2400 ^ _97764) ^ [] : [-(v1_membered(_132424))], (2402 ^ _97764) ^ [] : [-(v2_membered(_132424))]]]]], (2404 ^ _97764) ^ [_132531] : [v3_membered(_132531), 2407 ^ _97764 : [(2408 ^ _97764) ^ [_132601] : [element(_132601, powerset(_132531)), 2411 ^ _97764 : [(2412 ^ _97764) ^ [] : [-(v1_membered(_132601))], (2414 ^ _97764) ^ [] : [-(v2_membered(_132601))], (2416 ^ _97764) ^ [] : [-(v3_membered(_132601))]]]]], (2418 ^ _97764) ^ [_132730] : [v4_membered(_132730), 2421 ^ _97764 : [(2422 ^ _97764) ^ [_132805] : [element(_132805, powerset(_132730)), 2425 ^ _97764 : [(2426 ^ _97764) ^ [] : [-(v1_membered(_132805))], (2428 ^ _97764) ^ [] : [-(v2_membered(_132805))], (2430 ^ _97764) ^ [] : [-(v3_membered(_132805))], (2432 ^ _97764) ^ [] : [-(v4_membered(_132805))]]]]], (2434 ^ _97764) ^ [_132956] : [ordinal(_132956), 2437 ^ _97764 : [(2438 ^ _97764) ^ [_133024] : [element(_133024, _132956), 2441 ^ _97764 : [(2442 ^ _97764) ^ [] : [-(epsilon_transitive(_133024))], (2444 ^ _97764) ^ [] : [-(epsilon_connected(_133024))], (2446 ^ _97764) ^ [] : [-(ordinal(_133024))]]]]], (2448 ^ _97764) ^ [_133149] : [empty(_133149), -(finite(_133149))], (2454 ^ _97764) ^ [_133220] : [preboolean(_133220), 2457 ^ _97764 : [(2458 ^ _97764) ^ [] : [-(cup_closed(_133220))], (2460 ^ _97764) ^ [] : [-(diff_closed(_133220))]]], (2462 ^ _97764) ^ [_133315] : [empty(_133315), -(function(_133315))], (2468 ^ _97764) ^ [_133386, _133388, _133390] : [relation_of2(_133386, _133390, _133388), 2479 ^ _97764 : [(2480 ^ _97764) ^ [] : [-(function(_133386))], (2482 ^ _97764) ^ [] : [-(quasi_total(_133386, _133390, _133388))]], function(_133386), v1_partfun1(_133386, _133390, _133388)], (2484 ^ _97764) ^ [_133601] : [latt_str(_133601), 2499 ^ _97764 : [(2500 ^ _97764) ^ [] : [empty_carrier(_133601)], (2502 ^ _97764) ^ [] : [-(join_commutative(_133601))], (2504 ^ _97764) ^ [] : [-(join_associative(_133601))], (2506 ^ _97764) ^ [] : [-(meet_commutative(_133601))], (2508 ^ _97764) ^ [] : [-(meet_associative(_133601))], (2510 ^ _97764) ^ [] : [-(meet_absorbing(_133601))], (2512 ^ _97764) ^ [] : [-(join_absorbing(_133601))], (2514 ^ _97764) ^ [] : [-(lattice(_133601))], (2516 ^ _97764) ^ [] : [-(lower_bounded_semilattstr(_133601))], (2518 ^ _97764) ^ [] : [-(upper_bounded_semilattstr(_133601))], (2520 ^ _97764) ^ [] : [-(bounded_lattstr(_133601))]], -(empty_carrier(_133601)), lattice(_133601), complete_latt_str(_133601)], (2522 ^ _97764) ^ [_134051] : [rel_str(_134051), with_suprema_relstr(_134051), empty_carrier(_134051)], (2532 ^ _97764) ^ [_134171] : [latt_str(_134171), 2543 ^ _97764 : [(2544 ^ _97764) ^ [] : [empty_carrier(_134171)], (2546 ^ _97764) ^ [] : [-(join_commutative(_134171))], (2548 ^ _97764) ^ [] : [-(join_associative(_134171))], (2550 ^ _97764) ^ [] : [-(meet_commutative(_134171))], (2552 ^ _97764) ^ [] : [-(meet_associative(_134171))], (2554 ^ _97764) ^ [] : [-(meet_absorbing(_134171))], (2556 ^ _97764) ^ [] : [-(join_absorbing(_134171))]], -(empty_carrier(_134171)), lattice(_134171)], (2558 ^ _97764) ^ [_134485] : [v5_membered(_134485), -(v4_membered(_134485))], (2564 ^ _97764) ^ [_134556] : [ordinal(_134556), 2567 ^ _97764 : [(2568 ^ _97764) ^ [] : [-(epsilon_transitive(_134556))], (2570 ^ _97764) ^ [] : [-(epsilon_connected(_134556))]]], (2572 ^ _97764) ^ [_134651] : [2583 ^ _97764 : [(2584 ^ _97764) ^ [] : [-(relation(_134651))], (2586 ^ _97764) ^ [] : [-(reflexive(_134651))]], relation(_134651), symmetric(_134651), transitive(_134651)], (2588 ^ _97764) ^ [_134842] : [empty(_134842), -(relation(_134842))], (2594 ^ _97764) ^ [_134913, _134915, _134917] : [element(_134913, powerset(cartesian_product2(_134917, _134915))), -(relation(_134913))], (2600 ^ _97764) ^ [_135000] : [rel_str(_135000), 2611 ^ _97764 : [(2612 ^ _97764) ^ [] : [empty_carrier(_135000)], (2614 ^ _97764) ^ [] : [-(with_suprema_relstr(_135000))], (2616 ^ _97764) ^ [] : [-(with_infima_relstr(_135000))]], -(empty_carrier(_135000)), complete_relstr(_135000)], (2618 ^ _97764) ^ [_135226] : [v5_membered(_135226), 2621 ^ _97764 : [(2622 ^ _97764) ^ [_135306] : [element(_135306, powerset(_135226)), 2625 ^ _97764 : [(2626 ^ _97764) ^ [] : [-(v1_membered(_135306))], (2628 ^ _97764) ^ [] : [-(v2_membered(_135306))], (2630 ^ _97764) ^ [] : [-(v3_membered(_135306))], (2632 ^ _97764) ^ [] : [-(v4_membered(_135306))], (2634 ^ _97764) ^ [] : [-(v5_membered(_135306))]]]]], (2636 ^ _97764) ^ [_135479] : [2643 ^ _97764 : [(2644 ^ _97764) ^ [] : [-(epsilon_transitive(_135479))], (2646 ^ _97764) ^ [] : [-(epsilon_connected(_135479))], (2648 ^ _97764) ^ [] : [-(ordinal(_135479))], (2650 ^ _97764) ^ [] : [-(natural(_135479))]], empty(_135479), ordinal(_135479)], (2652 ^ _97764) ^ [_135666] : [finite(_135666), 2655 ^ _97764 : [(2656 ^ _97764) ^ [_135726] : [element(_135726, powerset(_135666)), -(finite(_135726))]]], (2662 ^ _97764) ^ [_135809] : [-(preboolean(_135809)), cup_closed(_135809), diff_closed(_135809)], (2672 ^ _97764) ^ [_135928] : [2683 ^ _97764 : [(2684 ^ _97764) ^ [] : [-(relation(_135928))], (2686 ^ _97764) ^ [] : [-(function(_135928))], (2688 ^ _97764) ^ [] : [-(one_to_one(_135928))]], relation(_135928), empty(_135928), function(_135928)], (2690 ^ _97764) ^ [_136141, _136143, _136145] : [relation_of2(_136141, _136145, _136143), 2705 ^ _97764 : [(2706 ^ _97764) ^ [] : [-(function(_136141))], (2708 ^ _97764) ^ [] : [-(one_to_one(_136141))], (2710 ^ _97764) ^ [] : [-(quasi_total(_136141, _136145, _136143))], (2712 ^ _97764) ^ [] : [-(onto(_136141, _136145, _136143))]], function(_136141), quasi_total(_136141, _136145, _136143), bijective(_136141, _136145, _136143)], (2714 ^ _97764) ^ [_136460] : [rel_str(_136460), with_infima_relstr(_136460), empty_carrier(_136460)], (2724 ^ _97764) ^ [_136580] : [latt_str(_136580), 2755 ^ _97764 : [(2756 ^ _97764) ^ [] : [empty_carrier(_136580)], (2758 ^ _97764) ^ [] : [-(lattice(_136580))]], -(empty_carrier(_136580)), join_commutative(_136580), join_associative(_136580), meet_commutative(_136580), meet_associative(_136580), meet_absorbing(_136580), join_absorbing(_136580)], (2760 ^ _97764) ^ [_137024] : [v4_membered(_137024), -(v3_membered(_137024))], (2766 ^ _97764) ^ [_137095] : [-(ordinal(_137095)), epsilon_transitive(_137095), epsilon_connected(_137095)], (2776 ^ _97764) ^ [_137214] : [rel_str(_137214), 2791 ^ _97764 : [(2792 ^ _97764) ^ [] : [empty_carrier(_137214)], (2794 ^ _97764) ^ [] : [-(reflexive_relstr(_137214))], (2796 ^ _97764) ^ [] : [-(transitive_relstr(_137214))], (2798 ^ _97764) ^ [] : [-(antisymmetric_relstr(_137214))], (2800 ^ _97764) ^ [] : [-(complete_relstr(_137214))]], -(empty_carrier(_137214)), reflexive_relstr(_137214), trivial_carrier(_137214)], (2802 ^ _97764) ^ [_137532] : [element(_137532, omega), 2805 ^ _97764 : [(2806 ^ _97764) ^ [] : [-(epsilon_transitive(_137532))], (2808 ^ _97764) ^ [] : [-(epsilon_connected(_137532))], (2810 ^ _97764) ^ [] : [-(ordinal(_137532))], (2812 ^ _97764) ^ [] : [-(natural(_137532))]]], (2814 ^ _97764) ^ [_137673, _137675, _137677] : [relation_of2(_137673, _137677, _137675), 2833 ^ _97764 : [(2834 ^ _97764) ^ [] : [-(function(_137673))], (2836 ^ _97764) ^ [] : [-(quasi_total(_137673, _137677, _137675))], (2838 ^ _97764) ^ [] : [-(bijective(_137673, _137677, _137675))]], function(_137673), one_to_one(_137673), quasi_total(_137673, _137677, _137675), onto(_137673, _137677, _137675)], (2840 ^ _97764) ^ [_138022] : [latt_str(_138022), 2855 ^ _97764 : [(2856 ^ _97764) ^ [] : [empty_carrier(_138022)], (2858 ^ _97764) ^ [] : [-(bounded_lattstr(_138022))]], -(empty_carrier(_138022)), lower_bounded_semilattstr(_138022), upper_bounded_semilattstr(_138022)], (2860 ^ _97764) ^ [_138274] : [v3_membered(_138274), -(v2_membered(_138274))], (2866 ^ _97764) ^ [_138345] : [empty(_138345), 2869 ^ _97764 : [(2870 ^ _97764) ^ [] : [-(epsilon_transitive(_138345))], (2872 ^ _97764) ^ [] : [-(epsilon_connected(_138345))], (2874 ^ _97764) ^ [] : [-(ordinal(_138345))]]], (2876 ^ _97764) ^ [_138462] : [rel_str(_138462), 2887 ^ _97764 : [(2888 ^ _97764) ^ [] : [empty_carrier(_138462)], (2890 ^ _97764) ^ [] : [-(bounded_relstr(_138462))]], -(empty_carrier(_138462)), complete_relstr(_138462)], (2892 ^ _97764) ^ [_138666, _138668] : [relation_of2(_138666, _138668, _138668), 2911 ^ _97764 : [(2912 ^ _97764) ^ [] : [-(function(_138666))], (2914 ^ _97764) ^ [] : [-(one_to_one(_138666))], (2916 ^ _97764) ^ [] : [-(quasi_total(_138666, _138668, _138668))], (2918 ^ _97764) ^ [] : [-(onto(_138666, _138668, _138668))], (2920 ^ _97764) ^ [] : [-(bijective(_138666, _138668, _138668))]], function(_138666), v1_partfun1(_138666, _138668, _138668), reflexive(_138666), quasi_total(_138666, _138668, _138668)], (2922 ^ _97764) ^ [_139053] : [latt_str(_139053), 2933 ^ _97764 : [(2934 ^ _97764) ^ [] : [empty_carrier(_139053)], (2936 ^ _97764) ^ [] : [-(lower_bounded_semilattstr(_139053))], (2938 ^ _97764) ^ [] : [-(upper_bounded_semilattstr(_139053))]], -(empty_carrier(_139053)), bounded_lattstr(_139053)], (2940 ^ _97764) ^ [_139279] : [v2_membered(_139279), -(v1_membered(_139279))], (2946 ^ _97764) ^ [_139350] : [rel_str(_139350), bounded_relstr(_139350), 2953 ^ _97764 : [(2954 ^ _97764) ^ [] : [-(lower_bounded_relstr(_139350))], (2956 ^ _97764) ^ [] : [-(upper_bounded_relstr(_139350))]]], (2958 ^ _97764) ^ [_139492, _139494] : [-(empty(_139492)), 2961 ^ _97764 : [(2962 ^ _97764) ^ [_139578] : [relation_of2(_139578, _139494, _139492), 2973 ^ _97764 : [(2974 ^ _97764) ^ [] : [-(function(_139578))], (2976 ^ _97764) ^ [] : [-(v1_partfun1(_139578, _139494, _139492))], (2978 ^ _97764) ^ [] : [-(quasi_total(_139578, _139494, _139492))]], function(_139578), quasi_total(_139578, _139494, _139492)]]], (2980 ^ _97764) ^ [_139823] : [latt_str(_139823), 2991 ^ _97764 : [(2992 ^ _97764) ^ [] : [empty_carrier(_139823)], (2994 ^ _97764) ^ [] : [-(distributive_lattstr(_139823))], (2996 ^ _97764) ^ [] : [-(lower_bounded_semilattstr(_139823))], (2998 ^ _97764) ^ [] : [-(upper_bounded_semilattstr(_139823))], (3000 ^ _97764) ^ [] : [-(bounded_lattstr(_139823))], (3002 ^ _97764) ^ [] : [-(complemented_lattstr(_139823))]], -(empty_carrier(_139823)), boolean_lattstr(_139823)], (3004 ^ _97764) ^ [_140115] : [rel_str(_140115), -(bounded_relstr(_140115)), lower_bounded_relstr(_140115), upper_bounded_relstr(_140115)], (3018 ^ _97764) ^ [_140281, _140283] : [-(empty(_140283)), -(empty(_140281)), 3025 ^ _97764 : [(3026 ^ _97764) ^ [_140380] : [relation_of2(_140380, _140283, _140281), 3037 ^ _97764 : [(3038 ^ _97764) ^ [] : [-(function(_140380))], (3040 ^ _97764) ^ [] : [empty(_140380)], (3042 ^ _97764) ^ [] : [-(v1_partfun1(_140380, _140283, _140281))], (3044 ^ _97764) ^ [] : [-(quasi_total(_140380, _140283, _140281))]], function(_140380), quasi_total(_140380, _140283, _140281)]]], (3046 ^ _97764) ^ [_140665] : [latt_str(_140665), 3065 ^ _97764 : [(3066 ^ _97764) ^ [] : [empty_carrier(_140665)], (3068 ^ _97764) ^ [] : [-(boolean_lattstr(_140665))]], -(empty_carrier(_140665)), distributive_lattstr(_140665), bounded_lattstr(_140665), complemented_lattstr(_140665)], (3070 ^ _97764) ^ [_140965] : [latt_str(_140965), 3085 ^ _97764 : [(3086 ^ _97764) ^ [] : [empty_carrier(_140965)], (3088 ^ _97764) ^ [] : [-(join_commutative(_140965))], (3090 ^ _97764) ^ [] : [-(join_associative(_140965))], (3092 ^ _97764) ^ [] : [-(meet_commutative(_140965))], (3094 ^ _97764) ^ [] : [-(meet_associative(_140965))], (3096 ^ _97764) ^ [] : [-(meet_absorbing(_140965))], (3098 ^ _97764) ^ [] : [-(join_absorbing(_140965))], (3100 ^ _97764) ^ [] : [-(lattice(_140965))], (3102 ^ _97764) ^ [] : [-(modular_lattstr(_140965))]], -(empty_carrier(_140965)), lattice(_140965), distributive_lattstr(_140965)], (3104 ^ _97764) ^ [_141371, _141373, _141375] : [-(unordered_pair_as_carrier_subset(_141375, _141373, _141371) = unordered_pair_as_carrier_subset(_141375, _141371, _141373)), -(empty_carrier(_141375)), one_sorted_str(_141375), element(_141373, the_carrier(_141375)), element(_141371, the_carrier(_141375))], (3122 ^ _97764) ^ [_141635, _141637] : [-(unordered_pair(_141637, _141635) = unordered_pair(_141635, _141637))], (3124 ^ _97764) ^ [_141666, _141668] : [-(set_union2(_141668, _141666) = set_union2(_141666, _141668))], (3126 ^ _97764) ^ [_141697, _141699, _141701] : [-(join_commut(_141701, _141699, _141697) = join_commut(_141701, _141697, _141699)), -(empty_carrier(_141701)), join_commutative(_141701), join_semilatt_str(_141701), element(_141699, the_carrier(_141701)), element(_141697, the_carrier(_141701))], (3148 ^ _97764) ^ [_142013, _142015] : [-(set_intersection2(_142015, _142013) = set_intersection2(_142013, _142015))], (3150 ^ _97764) ^ [_142044, _142046, _142048] : [-(meet_commut(_142048, _142046, _142044) = meet_commut(_142048, _142044, _142046)), -(empty_carrier(_142048)), meet_commutative(_142048), meet_semilatt_str(_142048), element(_142046, the_carrier(_142048)), element(_142044, the_carrier(_142048))], (3172 ^ _97764) ^ [_142360, _142362, _142364] : [-(subset_union2(_142364, _142362, _142360) = subset_union2(_142364, _142360, _142362)), element(_142362, powerset(_142364)), element(_142360, powerset(_142364))], (3182 ^ _97764) ^ [_142517, _142519, _142521] : [-(subset_intersection2(_142521, _142519, _142517) = subset_intersection2(_142521, _142517, _142519)), element(_142519, powerset(_142521)), element(_142517, powerset(_142521))], (3192 ^ _97764) ^ [_142674, _142676] : [ordinal(_142676), ordinal(_142674), -(ordinal_subset(_142676, _142674)), -(ordinal_subset(_142674, _142676))], (3206 ^ _97764) ^ [_142814, _142816] : [relation(_142814), 3209 ^ _97764 : [(3232 ^ _97764) ^ [] : [-(_142814 = identity_relation(_142816)), 3245 ^ _97764 : [(3246 ^ _97764) ^ [] : [-(in(3233 ^ [_142814, _142816], _142816))], (3248 ^ _97764) ^ [] : [-(3233 ^ [_142814, _142816] = 3234 ^ [_142814, _142816])], (3250 ^ _97764) ^ [] : [in(ordered_pair(3233 ^ [_142814, _142816], 3234 ^ [_142814, _142816]), _142814)]], 3237 ^ _97764 : [(3238 ^ _97764) ^ [] : [-(in(ordered_pair(3233 ^ [_142814, _142816], 3234 ^ [_142814, _142816]), _142814))], (3240 ^ _97764) ^ [] : [in(3233 ^ [_142814, _142816], _142816), 3233 ^ [_142814, _142816] = 3234 ^ [_142814, _142816]]]], (3210 ^ _97764) ^ [] : [_142814 = identity_relation(_142816), 3213 ^ _97764 : [(3214 ^ _97764) ^ [_142967, _142969] : [in(ordered_pair(_142969, _142967), _142814), 3217 ^ _97764 : [(3218 ^ _97764) ^ [] : [-(in(_142969, _142816))], (3220 ^ _97764) ^ [] : [-(_142969 = _142967)]]], (3222 ^ _97764) ^ [_143076, _143078] : [-(in(ordered_pair(_143078, _143076), _142814)), in(_143078, _142816), _143078 = _143076]]]]], (3254 ^ _97764) ^ [_143603, _143605] : [_143605 = _143603, 3257 ^ _97764 : [(3258 ^ _97764) ^ [] : [-(subset(_143605, _143603))], (3260 ^ _97764) ^ [] : [-(subset(_143603, _143605))]]], (3262 ^ _97764) ^ [_143702, _143704] : [-(_143704 = _143702), subset(_143704, _143702), subset(_143702, _143704)], (3272 ^ _97764) ^ [_143833] : [rel_str(_143833), 3275 ^ _97764 : [(3276 ^ _97764) ^ [_143942, _143944] : [element(_143942, the_carrier(_143833)), ex_inf_of_relstr_set(_143833, _143944), 3283 ^ _97764 : [(3300 ^ _97764) ^ [] : [-(_143942 = meet_on_relstr(_143833, _143944)), relstr_element_smaller(_143833, _143944, _143942), 3306 ^ _97764 : [(3307 ^ _97764) ^ [] : [-(element(3305 ^ [_143833, _143942, _143944], the_carrier(_143833)))], (3309 ^ _97764) ^ [] : [-(relstr_element_smaller(_143833, _143944, 3305 ^ [_143833, _143942, _143944]))], (3311 ^ _97764) ^ [] : [related(_143833, 3305 ^ [_143833, _143942, _143944], _143942)]]], (3284 ^ _97764) ^ [] : [_143942 = meet_on_relstr(_143833, _143944), 3287 ^ _97764 : [(3288 ^ _97764) ^ [] : [-(relstr_element_smaller(_143833, _143944, _143942))], (3290 ^ _97764) ^ [_144169] : [element(_144169, the_carrier(_143833)), relstr_element_smaller(_143833, _143944, _144169), -(related(_143833, _144169, _143942))]]]]]]], (3315 ^ _97764) ^ [_144554] : [one_sorted_str(_144554), -(identity_on_carrier(_144554) = identity_as_relation_of(the_carrier(_144554)))], (3321 ^ _97764) ^ [_144639] : [relation(_144639), 3324 ^ _97764 : [(3325 ^ _97764) ^ [_144739, _144741] : [relation(_144739), 3328 ^ _97764 : [(3351 ^ _97764) ^ [] : [-(_144739 = relation_dom_restriction(_144639, _144741)), 3364 ^ _97764 : [(3365 ^ _97764) ^ [] : [-(in(3352 ^ [_144639, _144739, _144741], _144741))], (3367 ^ _97764) ^ [] : [-(in(ordered_pair(3352 ^ [_144639, _144739, _144741], 3353 ^ [_144639, _144739, _144741]), _144639))], (3369 ^ _97764) ^ [] : [in(ordered_pair(3352 ^ [_144639, _144739, _144741], 3353 ^ [_144639, _144739, _144741]), _144739)]], 3356 ^ _97764 : [(3357 ^ _97764) ^ [] : [-(in(ordered_pair(3352 ^ [_144639, _144739, _144741], 3353 ^ [_144639, _144739, _144741]), _144739))], (3359 ^ _97764) ^ [] : [in(3352 ^ [_144639, _144739, _144741], _144741), in(ordered_pair(3352 ^ [_144639, _144739, _144741], 3353 ^ [_144639, _144739, _144741]), _144639)]]], (3329 ^ _97764) ^ [] : [_144739 = relation_dom_restriction(_144639, _144741), 3332 ^ _97764 : [(3333 ^ _97764) ^ [_144901, _144903] : [in(ordered_pair(_144903, _144901), _144739), 3336 ^ _97764 : [(3337 ^ _97764) ^ [] : [-(in(_144903, _144741))], (3339 ^ _97764) ^ [] : [-(in(ordered_pair(_144903, _144901), _144639))]]], (3341 ^ _97764) ^ [_145018, _145020] : [-(in(ordered_pair(_145020, _145018), _144739)), in(_145020, _144741), in(ordered_pair(_145020, _145018), _144639)]]]]]]], (3373 ^ _97764) ^ [_145588] : [-(empty_carrier(_145588)), one_sorted_str(_145588), 3380 ^ _97764 : [(3381 ^ _97764) ^ [_145754] : [-(empty_carrier(_145754)), net_str(_145754, _145588), 3388 ^ _97764 : [(3406 ^ _97764) ^ [_146254] : [-(is_eventually_in(_145588, _145754, _146254)), 3407 ^ _97764 : [(3408 ^ _97764) ^ [_146323] : [element(_146323, the_carrier(_145754)), 3412 ^ _97764 : [(3413 ^ _97764) ^ [] : [-(element(3411 ^ [_145588, _145754, _146254, _146323], the_carrier(_145754)))], (3415 ^ _97764) ^ [] : [-(related(_145754, _146323, 3411 ^ [_145588, _145754, _146254, _146323]))], (3417 ^ _97764) ^ [] : [in(apply_netmap(_145588, _145754, 3411 ^ [_145588, _145754, _146254, _146323]), _146254)]]]]], (3389 ^ _97764) ^ [_145920] : [is_eventually_in(_145588, _145754, _145920), 3393 ^ _97764 : [(3394 ^ _97764) ^ [] : [-(element(3392 ^ [_145588, _145754, _145920], the_carrier(_145754)))], (3396 ^ _97764) ^ [_146083] : [element(_146083, the_carrier(_145754)), related(_145754, 3392 ^ [_145588, _145754, _145920], _146083), -(in(apply_netmap(_145588, _145754, _146083), _145920))]]]]]]], (3421 ^ _97764) ^ [_146591] : [rel_str(_146591), -(bottom_of_relstr(_146591) = join_on_relstr(_146591, empty_set))], (3427 ^ _97764) ^ [_146674] : [relation(_146674), function(_146674), 3434 ^ _97764 : [(3464 ^ _97764) ^ [_147352, _147354] : [-(_147352 = relation_image(_146674, _147354)), 3481 ^ _97764 : [(3482 ^ _97764) ^ [] : [-(in(3480 ^ [_146674, _147352, _147354], relation_dom(_146674)))], (3484 ^ _97764) ^ [] : [-(in(3480 ^ [_146674, _147352, _147354], _147354))], (3486 ^ _97764) ^ [] : [-(3465 ^ [_146674, _147352, _147354] = apply(_146674, 3480 ^ [_146674, _147352, _147354]))], (3488 ^ _97764) ^ [] : [in(3465 ^ [_146674, _147352, _147354], _147352)]], 3468 ^ _97764 : [(3469 ^ _97764) ^ [] : [-(in(3465 ^ [_146674, _147352, _147354], _147352))], (3471 ^ _97764) ^ [_147516] : [in(_147516, relation_dom(_146674)), in(_147516, _147354), 3465 ^ [_146674, _147352, _147354] = apply(_146674, _147516)]]], (3435 ^ _97764) ^ [_146837, _146839] : [_146837 = relation_image(_146674, _146839), 3438 ^ _97764 : [(3439 ^ _97764) ^ [_146942] : [in(_146942, _146837), 3443 ^ _97764 : [(3444 ^ _97764) ^ [] : [-(in(3442 ^ [_146674, _146837, _146839, _146942], relation_dom(_146674)))], (3446 ^ _97764) ^ [] : [-(in(3442 ^ [_146674, _146837, _146839, _146942], _146839))], (3448 ^ _97764) ^ [] : [-(_146942 = apply(_146674, 3442 ^ [_146674, _146837, _146839, _146942]))]]], (3450 ^ _97764) ^ [_147117] : [-(in(_147117, _146837)), 3451 ^ _97764 : [(3452 ^ _97764) ^ [_147172] : [in(_147172, relation_dom(_146674)), in(_147172, _146839), _147117 = apply(_146674, _147172)]]]]]]], (3492 ^ _97764) ^ [_147863, _147865] : [relation(_147863), 3495 ^ _97764 : [(3496 ^ _97764) ^ [_147960] : [relation(_147960), 3499 ^ _97764 : [(3522 ^ _97764) ^ [] : [-(_147960 = relation_rng_restriction(_147865, _147863)), 3535 ^ _97764 : [(3536 ^ _97764) ^ [] : [-(in(3524 ^ [_147863, _147865, _147960], _147865))], (3538 ^ _97764) ^ [] : [-(in(ordered_pair(3523 ^ [_147863, _147865, _147960], 3524 ^ [_147863, _147865, _147960]), _147863))], (3540 ^ _97764) ^ [] : [in(ordered_pair(3523 ^ [_147863, _147865, _147960], 3524 ^ [_147863, _147865, _147960]), _147960)]], 3527 ^ _97764 : [(3528 ^ _97764) ^ [] : [-(in(ordered_pair(3523 ^ [_147863, _147865, _147960], 3524 ^ [_147863, _147865, _147960]), _147960))], (3530 ^ _97764) ^ [] : [in(3524 ^ [_147863, _147865, _147960], _147865), in(ordered_pair(3523 ^ [_147863, _147865, _147960], 3524 ^ [_147863, _147865, _147960]), _147863)]]], (3500 ^ _97764) ^ [] : [_147960 = relation_rng_restriction(_147865, _147863), 3503 ^ _97764 : [(3504 ^ _97764) ^ [_148122, _148124] : [in(ordered_pair(_148124, _148122), _147960), 3507 ^ _97764 : [(3508 ^ _97764) ^ [] : [-(in(_148122, _147865))], (3510 ^ _97764) ^ [] : [-(in(ordered_pair(_148124, _148122), _147863))]]], (3512 ^ _97764) ^ [_148239, _148241] : [-(in(ordered_pair(_148241, _148239), _147960)), in(_148239, _147865), in(ordered_pair(_148241, _148239), _147863)]]]]]]], (3544 ^ _97764) ^ [_148800] : [relation(_148800), 3547 ^ _97764 : [(3548 ^ _97764) ^ [] : [antisymmetric(_148800), -(is_antisymmetric_in(_148800, relation_field(_148800)))], (3554 ^ _97764) ^ [] : [is_antisymmetric_in(_148800, relation_field(_148800)), -(antisymmetric(_148800))]]], (3560 ^ _97764) ^ [_149002] : [-(empty_carrier(_149002)), one_sorted_str(_149002), 3567 ^ _97764 : [(3568 ^ _97764) ^ [_149168] : [-(empty_carrier(_149168)), net_str(_149168, _149002), 3575 ^ _97764 : [(3576 ^ _97764) ^ [_149334] : [is_often_in(_149002, _149168, _149334), 3579 ^ _97764 : [(3580 ^ _97764) ^ [_149427] : [element(_149427, the_carrier(_149168)), 3584 ^ _97764 : [(3585 ^ _97764) ^ [] : [-(element(3583 ^ [_149002, _149168, _149334, _149427], the_carrier(_149168)))], (3587 ^ _97764) ^ [] : [-(related(_149168, _149427, 3583 ^ [_149002, _149168, _149334, _149427]))], (3589 ^ _97764) ^ [] : [-(in(apply_netmap(_149002, _149168, 3583 ^ [_149002, _149168, _149334, _149427]), _149334))]]]]], (3591 ^ _97764) ^ [_149614] : [-(is_often_in(_149002, _149168, _149614)), 3593 ^ _97764 : [(3594 ^ _97764) ^ [] : [-(element(3592 ^ [_149002, _149168, _149614], the_carrier(_149168)))], (3596 ^ _97764) ^ [_149753] : [element(_149753, the_carrier(_149168)), related(_149168, 3592 ^ [_149002, _149168, _149614], _149753), in(apply_netmap(_149002, _149168, _149753), _149614)]]]]]]], (3608 ^ _97764) ^ [_149966] : [relation(_149966), function(_149966), 3615 ^ _97764 : [(3638 ^ _97764) ^ [_150474, _150476] : [-(_150474 = relation_inverse_image(_149966, _150476)), 3650 ^ _97764 : [(3651 ^ _97764) ^ [] : [-(in(3639 ^ [_149966, _150474, _150476], relation_dom(_149966)))], (3653 ^ _97764) ^ [] : [-(in(apply(_149966, 3639 ^ [_149966, _150474, _150476]), _150476))], (3655 ^ _97764) ^ [] : [in(3639 ^ [_149966, _150474, _150476], _150474)]], 3642 ^ _97764 : [(3643 ^ _97764) ^ [] : [-(in(3639 ^ [_149966, _150474, _150476], _150474))], (3645 ^ _97764) ^ [] : [in(3639 ^ [_149966, _150474, _150476], relation_dom(_149966)), in(apply(_149966, 3639 ^ [_149966, _150474, _150476]), _150476)]]], (3616 ^ _97764) ^ [_150118, _150120] : [_150118 = relation_inverse_image(_149966, _150120), 3619 ^ _97764 : [(3620 ^ _97764) ^ [_150212] : [in(_150212, _150118), 3623 ^ _97764 : [(3624 ^ _97764) ^ [] : [-(in(_150212, relation_dom(_149966)))], (3626 ^ _97764) ^ [] : [-(in(apply(_149966, _150212), _150120))]]], (3628 ^ _97764) ^ [_150325] : [-(in(_150325, _150118)), in(_150325, relation_dom(_149966)), in(apply(_149966, _150325), _150120)]]]]], (3659 ^ _97764) ^ [_150854] : [-(empty_carrier(_150854)), meet_semilatt_str(_150854), 3666 ^ _97764 : [(3667 ^ _97764) ^ [] : [lower_bounded_semilattstr(_150854), 3671 ^ _97764 : [(3672 ^ _97764) ^ [] : [-(element(3670 ^ [_150854], the_carrier(_150854)))], (3674 ^ _97764) ^ [_151113] : [element(_151113, the_carrier(_150854)), 3677 ^ _97764 : [(3678 ^ _97764) ^ [] : [-(meet(_150854, 3670 ^ [_150854], _151113) = 3670 ^ [_150854])], (3680 ^ _97764) ^ [] : [-(meet(_150854, _151113, 3670 ^ [_150854]) = 3670 ^ [_150854])]]]]], (3682 ^ _97764) ^ [] : [-(lower_bounded_semilattstr(_150854)), 3683 ^ _97764 : [(3684 ^ _97764) ^ [_151297] : [element(_151297, the_carrier(_150854)), 3688 ^ _97764 : [(3689 ^ _97764) ^ [] : [-(element(3687 ^ [_150854, _151297], the_carrier(_150854)))], (3691 ^ _97764) ^ [] : [meet(_150854, _151297, 3687 ^ [_150854, _151297]) = _151297, meet(_150854, 3687 ^ [_150854, _151297], _151297) = _151297]]]]]]], (3699 ^ _97764) ^ [_151567] : [top_str(_151567), 3702 ^ _97764 : [(3703 ^ _97764) ^ [_151702] : [element(_151702, powerset(the_carrier(_151567))), 3706 ^ _97764 : [(3707 ^ _97764) ^ [_151834] : [element(_151834, powerset(the_carrier(_151567))), 3710 ^ _97764 : [(3750 ^ _97764) ^ [] : [-(_151834 = topstr_closure(_151567, _151702)), 3752 ^ _97764 : [(3753 ^ _97764) ^ [] : [-(in(3751 ^ [_151567, _151702, _151834], the_carrier(_151567)))], (3755 ^ _97764) ^ [] : [3756 ^ _97764 : [(3757 ^ _97764) ^ [] : [-(in(3751 ^ [_151567, _151702, _151834], _151834))], (3760 ^ _97764) ^ [] : [-(element(3758 ^ [_151567, _151702, _151834], powerset(the_carrier(_151567))))], (3762 ^ _97764) ^ [] : [-(open_subset(3758 ^ [_151567, _151702, _151834], _151567))], (3764 ^ _97764) ^ [] : [-(in(3751 ^ [_151567, _151702, _151834], 3758 ^ [_151567, _151702, _151834]))], (3766 ^ _97764) ^ [] : [-(disjoint(_151702, 3758 ^ [_151567, _151702, _151834]))]], 3767 ^ _97764 : [(3782 ^ _97764) ^ [] : [in(3751 ^ [_151567, _151702, _151834], _151834)], (3768 ^ _97764) ^ [_152815] : [element(_152815, powerset(the_carrier(_151567))), open_subset(_152815, _151567), in(3751 ^ [_151567, _151702, _151834], _152815), disjoint(_151702, _152815)]]]]], (3711 ^ _97764) ^ [] : [_151834 = topstr_closure(_151567, _151702), 3714 ^ _97764 : [(3715 ^ _97764) ^ [_152011] : [in(_152011, the_carrier(_151567)), 3718 ^ _97764 : [(3737 ^ _97764) ^ [] : [3739 ^ _97764 : [(3740 ^ _97764) ^ [] : [-(element(3738 ^ [_151567, _151702, _151834, _152011], powerset(the_carrier(_151567))))], (3742 ^ _97764) ^ [] : [-(open_subset(3738 ^ [_151567, _151702, _151834, _152011], _151567))], (3744 ^ _97764) ^ [] : [-(in(_152011, 3738 ^ [_151567, _151702, _151834, _152011]))], (3746 ^ _97764) ^ [] : [-(disjoint(_151702, 3738 ^ [_151567, _151702, _151834, _152011]))]], -(in(_152011, _151834))], (3719 ^ _97764) ^ [] : [in(_152011, _151834), 3722 ^ _97764 : [(3723 ^ _97764) ^ [_152163] : [element(_152163, powerset(the_carrier(_151567))), open_subset(_152163, _151567), in(_152011, _152163), disjoint(_151702, _152163)]]]]]]]]]]]]], (3786 ^ _97764) ^ [_153117] : [relation(_153117), 3789 ^ _97764 : [(3813 ^ _97764) ^ [_153622, _153624] : [-(_153622 = relation_image(_153117, _153624)), 3826 ^ _97764 : [(3827 ^ _97764) ^ [] : [-(in(ordered_pair(3825 ^ [_153117, _153622, _153624], 3814 ^ [_153117, _153622, _153624]), _153117))], (3829 ^ _97764) ^ [] : [-(in(3825 ^ [_153117, _153622, _153624], _153624))], (3831 ^ _97764) ^ [] : [in(3814 ^ [_153117, _153622, _153624], _153622)]], 3817 ^ _97764 : [(3818 ^ _97764) ^ [] : [-(in(3814 ^ [_153117, _153622, _153624], _153622))], (3820 ^ _97764) ^ [_153770] : [in(ordered_pair(_153770, 3814 ^ [_153117, _153622, _153624]), _153117), in(_153770, _153624)]]], (3790 ^ _97764) ^ [_153224, _153226] : [_153224 = relation_image(_153117, _153226), 3793 ^ _97764 : [(3794 ^ _97764) ^ [_153321] : [in(_153321, _153224), 3798 ^ _97764 : [(3799 ^ _97764) ^ [] : [-(in(ordered_pair(3797 ^ [_153117, _153224, _153226, _153321], _153321), _153117))], (3801 ^ _97764) ^ [] : [-(in(3797 ^ [_153117, _153224, _153226, _153321], _153226))]]], (3803 ^ _97764) ^ [_153457] : [-(in(_153457, _153224)), 3804 ^ _97764 : [(3805 ^ _97764) ^ [_153504] : [in(ordered_pair(_153504, _153457), _153117), in(_153504, _153226)]]]]]]], (3835 ^ _97764) ^ [_154024] : [rel_str(_154024), 3838 ^ _97764 : [(3839 ^ _97764) ^ [_154102] : [rel_str(_154102), 3842 ^ _97764 : [(3843 ^ _97764) ^ [] : [subrelstr(_154102, _154024), 3846 ^ _97764 : [(3847 ^ _97764) ^ [] : [-(subset(the_carrier(_154102), the_carrier(_154024)))], (3849 ^ _97764) ^ [] : [-(subset(the_InternalRel(_154102), the_InternalRel(_154024)))]]], (3851 ^ _97764) ^ [] : [-(subrelstr(_154102, _154024)), subset(the_carrier(_154102), the_carrier(_154024)), subset(the_InternalRel(_154102), the_InternalRel(_154024))]]]]], (3861 ^ _97764) ^ [_154407] : [relation(_154407), 3864 ^ _97764 : [(3888 ^ _97764) ^ [_154912, _154914] : [-(_154912 = relation_inverse_image(_154407, _154914)), 3901 ^ _97764 : [(3902 ^ _97764) ^ [] : [-(in(ordered_pair(3889 ^ [_154407, _154912, _154914], 3900 ^ [_154407, _154912, _154914]), _154407))], (3904 ^ _97764) ^ [] : [-(in(3900 ^ [_154407, _154912, _154914], _154914))], (3906 ^ _97764) ^ [] : [in(3889 ^ [_154407, _154912, _154914], _154912)]], 3892 ^ _97764 : [(3893 ^ _97764) ^ [] : [-(in(3889 ^ [_154407, _154912, _154914], _154912))], (3895 ^ _97764) ^ [_155060] : [in(ordered_pair(3889 ^ [_154407, _154912, _154914], _155060), _154407), in(_155060, _154914)]]], (3865 ^ _97764) ^ [_154514, _154516] : [_154514 = relation_inverse_image(_154407, _154516), 3868 ^ _97764 : [(3869 ^ _97764) ^ [_154611] : [in(_154611, _154514), 3873 ^ _97764 : [(3874 ^ _97764) ^ [] : [-(in(ordered_pair(_154611, 3872 ^ [_154407, _154514, _154516, _154611]), _154407))], (3876 ^ _97764) ^ [] : [-(in(3872 ^ [_154407, _154514, _154516, _154611], _154516))]]], (3878 ^ _97764) ^ [_154747] : [-(in(_154747, _154514)), 3879 ^ _97764 : [(3880 ^ _97764) ^ [_154794] : [in(ordered_pair(_154747, _154794), _154407), in(_154794, _154516)]]]]]]], (3910 ^ _97764) ^ [_155314] : [relation(_155314), 3913 ^ _97764 : [(3914 ^ _97764) ^ [] : [connected(_155314), -(is_connected_in(_155314, relation_field(_155314)))], (3920 ^ _97764) ^ [] : [is_connected_in(_155314, relation_field(_155314)), -(connected(_155314))]]], (3926 ^ _97764) ^ [_155516] : [rel_str(_155516), 3929 ^ _97764 : [(3930 ^ _97764) ^ [_155590] : [subrelstr(_155590, _155516), 3933 ^ _97764 : [(3934 ^ _97764) ^ [] : [full_subrelstr(_155590, _155516), -(the_InternalRel(_155590) = relation_restriction_as_relation_of(the_InternalRel(_155516), the_carrier(_155590)))], (3940 ^ _97764) ^ [] : [the_InternalRel(_155590) = relation_restriction_as_relation_of(the_InternalRel(_155516), the_carrier(_155590)), -(full_subrelstr(_155590, _155516))]]]]], (3946 ^ _97764) ^ [_155828] : [-(empty_carrier(_155828)), latt_str(_155828), 3953 ^ _97764 : [(3954 ^ _97764) ^ [_155972] : [element(_155972, the_carrier(_155828)), 3957 ^ _97764 : [(3972 ^ _97764) ^ [_156291] : [3974 ^ _97764 : [(3975 ^ _97764) ^ [] : [-(element(3973 ^ [_155828, _155972, _156291], the_carrier(_155828)))], (3977 ^ _97764) ^ [] : [-(in(3973 ^ [_155828, _155972, _156291], _156291))], (3979 ^ _97764) ^ [] : [below(_155828, _155972, 3973 ^ [_155828, _155972, _156291])]], -(latt_set_smaller(_155828, _155972, _156291))], (3958 ^ _97764) ^ [_156072] : [latt_set_smaller(_155828, _155972, _156072), 3961 ^ _97764 : [(3962 ^ _97764) ^ [_156148] : [element(_156148, the_carrier(_155828)), in(_156148, _156072), -(below(_155828, _155972, _156148))]]]]]]], (3983 ^ _97764) ^ [_156505] : [-(empty_carrier(_156505)), meet_semilatt_str(_156505), lower_bounded_semilattstr(_156505), 3994 ^ _97764 : [(3995 ^ _97764) ^ [_156698] : [element(_156698, the_carrier(_156505)), 3998 ^ _97764 : [(3999 ^ _97764) ^ [] : [_156698 = bottom_of_semilattstr(_156505), 4002 ^ _97764 : [(4003 ^ _97764) ^ [_156844] : [element(_156844, the_carrier(_156505)), 4006 ^ _97764 : [(4007 ^ _97764) ^ [] : [-(meet(_156505, _156698, _156844) = _156698)], (4009 ^ _97764) ^ [] : [-(meet(_156505, _156844, _156698) = _156698)]]]]], (4011 ^ _97764) ^ [] : [-(_156698 = bottom_of_semilattstr(_156505)), 4013 ^ _97764 : [(4014 ^ _97764) ^ [] : [-(element(4012 ^ [_156505, _156698], the_carrier(_156505)))], (4016 ^ _97764) ^ [] : [meet(_156505, _156698, 4012 ^ [_156505, _156698]) = _156698, meet(_156505, 4012 ^ [_156505, _156698], _156698) = _156698]]]]]]], (4024 ^ _97764) ^ [_157182] : [relation(_157182), 4027 ^ _97764 : [(4028 ^ _97764) ^ [] : [transitive(_157182), -(is_transitive_in(_157182, relation_field(_157182)))], (4034 ^ _97764) ^ [] : [is_transitive_in(_157182, relation_field(_157182)), -(transitive(_157182))]]], (4040 ^ _97764) ^ [_157384] : [-(empty_carrier(_157384)), latt_str(_157384), 4047 ^ _97764 : [(4048 ^ _97764) ^ [_157528] : [element(_157528, the_carrier(_157384)), 4051 ^ _97764 : [(4066 ^ _97764) ^ [_157847] : [4068 ^ _97764 : [(4069 ^ _97764) ^ [] : [-(element(4067 ^ [_157384, _157528, _157847], the_carrier(_157384)))], (4071 ^ _97764) ^ [] : [-(in(4067 ^ [_157384, _157528, _157847], _157847))], (4073 ^ _97764) ^ [] : [below(_157384, 4067 ^ [_157384, _157528, _157847], _157528)]], -(latt_element_smaller(_157384, _157528, _157847))], (4052 ^ _97764) ^ [_157628] : [latt_element_smaller(_157384, _157528, _157628), 4055 ^ _97764 : [(4056 ^ _97764) ^ [_157704] : [element(_157704, the_carrier(_157384)), in(_157704, _157628), -(below(_157384, _157704, _157528))]]]]]]], (4077 ^ _97764) ^ [_158061] : [4084 ^ _97764 : [(4085 ^ _97764) ^ [_158179, _158181] : [-(apply_binary(_158061, _158181, _158179) = apply(_158061, ordered_pair(_158181, _158179)))]], relation(_158061), function(_158061)], (4087 ^ _97764) ^ [_158218] : [-(empty_carrier(_158218)), topological_space(_158218), top_str(_158218), 4098 ^ _97764 : [(4099 ^ _97764) ^ [_158403] : [element(_158403, the_carrier(_158218)), 4102 ^ _97764 : [(4103 ^ _97764) ^ [_158484] : [element(_158484, powerset(the_carrier(_158218))), 4106 ^ _97764 : [(4107 ^ _97764) ^ [] : [point_neighbourhood(_158484, _158218, _158403), -(in(_158403, interior(_158218, _158484)))], (4113 ^ _97764) ^ [] : [in(_158403, interior(_158218, _158484)), -(point_neighbourhood(_158484, _158218, _158403))]]]]]]], (4147 ^ _97764) ^ [_159136, _159138, _159140, _159142] : [-(_159136 = unordered_triple(_159142, _159140, _159138)), 4151 ^ _97764 : [(4152 ^ _97764) ^ [] : [-(in(4148 ^ [_159136, _159138, _159140, _159142], _159136))], (4154 ^ _97764) ^ [] : [4148 ^ [_159136, _159138, _159140, _159142] = _159142], (4156 ^ _97764) ^ [] : [4148 ^ [_159136, _159138, _159140, _159142] = _159140], (4158 ^ _97764) ^ [] : [4148 ^ [_159136, _159138, _159140, _159142] = _159138]], 4159 ^ _97764 : [(4170 ^ _97764) ^ [] : [in(4148 ^ [_159136, _159138, _159140, _159142], _159136)], (4160 ^ _97764) ^ [] : [-(4148 ^ [_159136, _159138, _159140, _159142] = _159142), -(4148 ^ [_159136, _159138, _159140, _159142] = _159140), -(4148 ^ [_159136, _159138, _159140, _159142] = _159138)]]], (4119 ^ _97764) ^ [_158750, _158752, _158754, _158756] : [_158750 = unordered_triple(_158756, _158754, _158752), 4122 ^ _97764 : [(4137 ^ _97764) ^ [_158970] : [4138 ^ _97764 : [(4139 ^ _97764) ^ [] : [_158970 = _158756], (4141 ^ _97764) ^ [] : [_158970 = _158754], (4143 ^ _97764) ^ [] : [_158970 = _158752]], -(in(_158970, _158750))], (4123 ^ _97764) ^ [_158857] : [in(_158857, _158750), -(_158857 = _158756), -(_158857 = _158754), -(_158857 = _158752)]]], (4174 ^ _97764) ^ [_159576] : [finite(_159576), 4178 ^ _97764 : [(4179 ^ _97764) ^ [] : [-(relation(4177 ^ [_159576]))], (4181 ^ _97764) ^ [] : [-(function(4177 ^ [_159576]))], (4183 ^ _97764) ^ [] : [-(relation_rng(4177 ^ [_159576]) = _159576)], (4185 ^ _97764) ^ [] : [-(in(relation_dom(4177 ^ [_159576]), omega))]]], (4187 ^ _97764) ^ [_159748] : [-(finite(_159748)), 4188 ^ _97764 : [(4189 ^ _97764) ^ [_159799] : [relation(_159799), function(_159799), relation_rng(_159799) = _159748, in(relation_dom(_159799), omega)]]], (4219 ^ _97764) ^ [_160254] : [4223 ^ _97764 : [(4224 ^ _97764) ^ [] : [-(in(ordered_pair(4220 ^ [_160254], 4221 ^ [_160254]), _160254))], (4226 ^ _97764) ^ [] : [-(in(ordered_pair(4220 ^ [_160254], 4222 ^ [_160254]), _160254))], (4228 ^ _97764) ^ [] : [4221 ^ [_160254] = 4222 ^ [_160254]]], -(function(_160254))], (4205 ^ _97764) ^ [_160024] : [function(_160024), 4208 ^ _97764 : [(4209 ^ _97764) ^ [_160105, _160107, _160109] : [-(_160107 = _160105), in(ordered_pair(_160109, _160107), _160024), in(ordered_pair(_160109, _160105), _160024)]]], (4232 ^ _97764) ^ [_160460, _160462, _160464] : [relation_of2_as_subset(_160460, _160464, _160462), 4235 ^ _97764 : [(4236 ^ _97764) ^ [] : [4237 ^ _97764 : [(4238 ^ _97764) ^ [] : [-(_160462 = empty_set)], (4240 ^ _97764) ^ [] : [_160464 = empty_set]], 4241 ^ _97764 : [(4242 ^ _97764) ^ [] : [quasi_total(_160460, _160464, _160462), -(_160464 = relation_dom_as_subset(_160464, _160462, _160460))], (4248 ^ _97764) ^ [] : [_160464 = relation_dom_as_subset(_160464, _160462, _160460), -(quasi_total(_160460, _160464, _160462))]]], (4254 ^ _97764) ^ [] : [_160462 = empty_set, -(_160464 = empty_set), 4261 ^ _97764 : [(4262 ^ _97764) ^ [] : [quasi_total(_160460, _160464, _160462), -(_160460 = empty_set)], (4268 ^ _97764) ^ [] : [_160460 = empty_set, -(quasi_total(_160460, _160464, _160462))]]]]], (4274 ^ _97764) ^ [_161055, _161057] : [strict_latt_str(_161055), latt_str(_161055), 4281 ^ _97764 : [(4282 ^ _97764) ^ [] : [_161055 = boole_lattice(_161057), 4285 ^ _97764 : [(4286 ^ _97764) ^ [] : [-(the_carrier(_161055) = powerset(_161057))], (4288 ^ _97764) ^ [_161305] : [element(_161305, powerset(_161057)), 4291 ^ _97764 : [(4292 ^ _97764) ^ [_161402] : [element(_161402, powerset(_161057)), 4295 ^ _97764 : [(4296 ^ _97764) ^ [] : [-(apply_binary(the_L_join(_161055), _161305, _161402) = subset_union2(_161057, _161305, _161402))], (4298 ^ _97764) ^ [] : [-(apply_binary(the_L_meet(_161055), _161305, _161402) = subset_intersection2(_161057, _161305, _161402))]]]]]]], (4300 ^ _97764) ^ [] : [-(_161055 = boole_lattice(_161057)), the_carrier(_161055) = powerset(_161057), 4306 ^ _97764 : [(4307 ^ _97764) ^ [] : [-(element(4305 ^ [_161055, _161057], powerset(_161057)))], (4310 ^ _97764) ^ [] : [-(element(4308 ^ [_161055, _161057], powerset(_161057)))], (4312 ^ _97764) ^ [] : [apply_binary(the_L_join(_161055), 4305 ^ [_161055, _161057], 4308 ^ [_161055, _161057]) = subset_union2(_161057, 4305 ^ [_161055, _161057], 4308 ^ [_161055, _161057]), apply_binary(the_L_meet(_161055), 4305 ^ [_161055, _161057], 4308 ^ [_161055, _161057]) = subset_intersection2(_161057, 4305 ^ [_161055, _161057], 4308 ^ [_161055, _161057])]]]]], (4320 ^ _97764) ^ [_161993] : [-(empty_carrier(_161993)), join_semilatt_str(_161993), 4327 ^ _97764 : [(4328 ^ _97764) ^ [_162137] : [element(_162137, the_carrier(_161993)), 4331 ^ _97764 : [(4332 ^ _97764) ^ [_162225] : [element(_162225, the_carrier(_161993)), -(join(_161993, _162137, _162225) = apply_binary_as_element(the_carrier(_161993), the_carrier(_161993), the_carrier(_161993), the_L_join(_161993), _162137, _162225))]]]]], (4338 ^ _97764) ^ [_162356] : [4339 ^ _97764 : [(4340 ^ _97764) ^ [_162436, _162438] : [_162356 = ordered_pair(_162438, _162436)]], 4341 ^ _97764 : [(4352 ^ _97764) ^ [_162639] : [4355 ^ _97764 : [(4356 ^ _97764) ^ [] : [-(_162356 = ordered_pair(4353 ^ [_162356, _162639], 4354 ^ [_162356, _162639]))], (4358 ^ _97764) ^ [] : [_162639 = 4353 ^ [_162356, _162639]]], -(_162639 = pair_first(_162356))], (4342 ^ _97764) ^ [_162477] : [_162477 = pair_first(_162356), 4345 ^ _97764 : [(4346 ^ _97764) ^ [_162552, _162554] : [_162356 = ordered_pair(_162554, _162552), -(_162477 = _162554)]]]]], (4362 ^ _97764) ^ [_162810] : [-(succ(_162810) = set_union2(_162810, singleton(_162810)))], (4364 ^ _97764) ^ [_162840] : [top_str(_162840), 4367 ^ _97764 : [(4402 ^ _97764) ^ [] : [-(topological_space(_162840)), in(the_carrier(_162840), the_topology(_162840)), 4410 ^ _97764 : [(4411 ^ _97764) ^ [] : [-(element(4409 ^ [_162840], powerset(powerset(the_carrier(_162840)))))], (4413 ^ _97764) ^ [] : [-(subset(4409 ^ [_162840], the_topology(_162840)))], (4415 ^ _97764) ^ [] : [in(union_of_subsets(the_carrier(_162840), 4409 ^ [_162840]), the_topology(_162840))]], 4417 ^ _97764 : [(4418 ^ _97764) ^ [] : [-(element(4416 ^ [_162840], powerset(the_carrier(_162840))))], (4421 ^ _97764) ^ [] : [-(element(4419 ^ [_162840], powerset(the_carrier(_162840))))], (4423 ^ _97764) ^ [] : [-(in(4416 ^ [_162840], the_topology(_162840)))], (4425 ^ _97764) ^ [] : [-(in(4419 ^ [_162840], the_topology(_162840)))], (4427 ^ _97764) ^ [] : [in(subset_intersection2(the_carrier(_162840), 4416 ^ [_162840], 4419 ^ [_162840]), the_topology(_162840))]]], (4368 ^ _97764) ^ [] : [topological_space(_162840), 4371 ^ _97764 : [(4372 ^ _97764) ^ [] : [-(in(the_carrier(_162840), the_topology(_162840)))], (4374 ^ _97764) ^ [_163074] : [element(_163074, powerset(powerset(the_carrier(_162840)))), subset(_163074, the_topology(_162840)), -(in(union_of_subsets(the_carrier(_162840), _163074), the_topology(_162840)))], (4384 ^ _97764) ^ [_163229] : [element(_163229, powerset(the_carrier(_162840))), 4387 ^ _97764 : [(4388 ^ _97764) ^ [_163328] : [element(_163328, powerset(the_carrier(_162840))), -(in(subset_intersection2(the_carrier(_162840), _163229, _163328), the_topology(_162840))), in(_163229, the_topology(_162840)), in(_163328, the_topology(_162840))]]]]]]], (4443 ^ _97764) ^ [_164257] : [4445 ^ _97764 : [(4446 ^ _97764) ^ [] : [-(in(4444 ^ [_164257], _164257))], (4448 ^ _97764) ^ [_164370, _164372] : [4444 ^ [_164257] = ordered_pair(_164372, _164370)]], -(relation(_164257))], (4431 ^ _97764) ^ [_164072] : [relation(_164072), 4434 ^ _97764 : [(4435 ^ _97764) ^ [_164148] : [in(_164148, _164072), -(_164148 = ordered_pair(4438 ^ [_164072, _164148], 4439 ^ [_164072, _164148]))]]], (4452 ^ _97764) ^ [_164434] : [relation(_164434), 4455 ^ _97764 : [(4466 ^ _97764) ^ [_164670] : [4468 ^ _97764 : [(4469 ^ _97764) ^ [] : [-(in(4467 ^ [_164434, _164670], _164670))], (4471 ^ _97764) ^ [] : [in(ordered_pair(4467 ^ [_164434, _164670], 4467 ^ [_164434, _164670]), _164434)]], -(is_reflexive_in(_164434, _164670))], (4456 ^ _97764) ^ [_164519] : [is_reflexive_in(_164434, _164519), 4459 ^ _97764 : [(4460 ^ _97764) ^ [_164585] : [in(_164585, _164519), -(in(ordered_pair(_164585, _164585), _164434))]]]]], (4475 ^ _97764) ^ [_164850, _164852, _164854] : [relation_of2(_164850, _164854, _164852), -(subset(_164850, cartesian_product2(_164854, _164852)))], (4481 ^ _97764) ^ [_164933, _164935, _164937] : [subset(_164933, cartesian_product2(_164937, _164935)), -(relation_of2(_164933, _164937, _164935))], (4536 ^ _97764) ^ [_165823, _165825] : [_165825 = empty_set, 4539 ^ _97764 : [(4540 ^ _97764) ^ [] : [_165823 = set_meet(_165825), -(_165823 = empty_set)], (4546 ^ _97764) ^ [] : [_165823 = empty_set, -(_165823 = set_meet(_165825))]]], (4487 ^ _97764) ^ [_165030, _165032] : [-(_165032 = empty_set), 4490 ^ _97764 : [(4514 ^ _97764) ^ [] : [-(_165030 = set_meet(_165032)), 4518 ^ _97764 : [(4519 ^ _97764) ^ [] : [-(in(4515 ^ [_165030, _165032], _165030))], (4522 ^ _97764) ^ [] : [-(in(4520 ^ [_165030, _165032], _165032))], (4524 ^ _97764) ^ [] : [in(4515 ^ [_165030, _165032], 4520 ^ [_165030, _165032])]], 4525 ^ _97764 : [(4532 ^ _97764) ^ [] : [in(4515 ^ [_165030, _165032], _165030)], (4526 ^ _97764) ^ [_165667] : [in(_165667, _165032), -(in(4515 ^ [_165030, _165032], _165667))]]], (4491 ^ _97764) ^ [] : [_165030 = set_meet(_165032), 4494 ^ _97764 : [(4505 ^ _97764) ^ [_165323] : [4507 ^ _97764 : [(4508 ^ _97764) ^ [] : [-(in(4506 ^ [_165030, _165032, _165323], _165032))], (4510 ^ _97764) ^ [] : [in(_165323, 4506 ^ [_165030, _165032, _165323])]], -(in(_165323, _165030))], (4495 ^ _97764) ^ [_165177] : [in(_165177, _165030), 4498 ^ _97764 : [(4499 ^ _97764) ^ [_165242] : [in(_165242, _165032), -(in(_165177, _165242))]]]]]]], (4552 ^ _97764) ^ [_166038] : [one_sorted_str(_166038), 4555 ^ _97764 : [(4556 ^ _97764) ^ [] : [empty_carrier(_166038), -(empty(the_carrier(_166038)))], (4562 ^ _97764) ^ [] : [empty(the_carrier(_166038)), -(empty_carrier(_166038))]]], (4584 ^ _97764) ^ [_166487, _166489] : [-(_166487 = singleton(_166489)), 4588 ^ _97764 : [(4589 ^ _97764) ^ [] : [-(in(4585 ^ [_166487, _166489], _166487))], (4591 ^ _97764) ^ [] : [4585 ^ [_166487, _166489] = _166489]], 4592 ^ _97764 : [(4593 ^ _97764) ^ [] : [-(4585 ^ [_166487, _166489] = _166489)], (4595 ^ _97764) ^ [] : [in(4585 ^ [_166487, _166489], _166487)]]], (4568 ^ _97764) ^ [_166252, _166254] : [_166252 = singleton(_166254), 4571 ^ _97764 : [(4572 ^ _97764) ^ [_166331] : [in(_166331, _166252), -(_166331 = _166254)], (4578 ^ _97764) ^ [_166406] : [_166406 = _166254, -(in(_166406, _166252))]]], (4599 ^ _97764) ^ [_166729] : [top_str(_166729), 4602 ^ _97764 : [(4603 ^ _97764) ^ [_166808] : [element(_166808, powerset(the_carrier(_166729))), -(interior(_166729, _166808) = subset_complement(the_carrier(_166729), topstr_closure(_166729, subset_complement(the_carrier(_166729), _166808))))]]], (4609 ^ _97764) ^ [_166929] : [top_str(_166929), 4612 ^ _97764 : [(4613 ^ _97764) ^ [_167021] : [element(_167021, powerset(powerset(the_carrier(_166929)))), 4616 ^ _97764 : [(4631 ^ _97764) ^ [] : [4633 ^ _97764 : [(4634 ^ _97764) ^ [] : [-(element(4632 ^ [_166929, _167021], powerset(the_carrier(_166929))))], (4636 ^ _97764) ^ [] : [-(in(4632 ^ [_166929, _167021], _167021))], (4638 ^ _97764) ^ [] : [open_subset(4632 ^ [_166929, _167021], _166929)]], -(open_subsets(_167021, _166929))], (4617 ^ _97764) ^ [] : [open_subsets(_167021, _166929), 4620 ^ _97764 : [(4621 ^ _97764) ^ [_167165] : [element(_167165, powerset(the_carrier(_166929))), in(_167165, _167021), -(open_subset(_167165, _166929))]]]]]]], (4642 ^ _97764) ^ [_167478] : [rel_str(_167478), 4645 ^ _97764 : [(4646 ^ _97764) ^ [_167616] : [element(_167616, powerset(the_carrier(_167478))), 4649 ^ _97764 : [(4679 ^ _97764) ^ [] : [-(directed_subset(_167616, _167478)), 4681 ^ _97764 : [(4682 ^ _97764) ^ [] : [-(element(4680 ^ [_167478, _167616], the_carrier(_167478)))], (4685 ^ _97764) ^ [] : [-(element(4683 ^ [_167478, _167616], the_carrier(_167478)))], (4687 ^ _97764) ^ [] : [-(in(4680 ^ [_167478, _167616], _167616))], (4689 ^ _97764) ^ [] : [-(in(4683 ^ [_167478, _167616], _167616))], (4691 ^ _97764) ^ [_168528] : [element(_168528, the_carrier(_167478)), in(_168528, _167616), related(_167478, 4680 ^ [_167478, _167616], _168528), related(_167478, 4683 ^ [_167478, _167616], _168528)]]], (4650 ^ _97764) ^ [] : [directed_subset(_167616, _167478), 4653 ^ _97764 : [(4654 ^ _97764) ^ [_167804] : [element(_167804, the_carrier(_167478)), 4657 ^ _97764 : [(4658 ^ _97764) ^ [_167918] : [element(_167918, the_carrier(_167478)), in(_167804, _167616), in(_167918, _167616), 4670 ^ _97764 : [(4671 ^ _97764) ^ [] : [-(element(4669 ^ [_167478, _167616, _167804, _167918], the_carrier(_167478)))], (4673 ^ _97764) ^ [] : [-(in(4669 ^ [_167478, _167616, _167804, _167918], _167616))], (4675 ^ _97764) ^ [] : [-(related(_167478, _167804, 4669 ^ [_167478, _167616, _167804, _167918]))], (4677 ^ _97764) ^ [] : [-(related(_167478, _167918, 4669 ^ [_167478, _167616, _167804, _167918]))]]]]]]]]]]], (4707 ^ _97764) ^ [_168798] : [relation(_168798), 4710 ^ _97764 : [(4733 ^ _97764) ^ [_169263, _169265] : [-(_169263 = fiber(_168798, _169265)), 4745 ^ _97764 : [(4746 ^ _97764) ^ [] : [4734 ^ [_168798, _169263, _169265] = _169265], (4748 ^ _97764) ^ [] : [-(in(ordered_pair(4734 ^ [_168798, _169263, _169265], _169265), _168798))], (4750 ^ _97764) ^ [] : [in(4734 ^ [_168798, _169263, _169265], _169263)]], 4737 ^ _97764 : [(4738 ^ _97764) ^ [] : [-(in(4734 ^ [_168798, _169263, _169265], _169263))], (4740 ^ _97764) ^ [] : [-(4734 ^ [_168798, _169263, _169265] = _169265), in(ordered_pair(4734 ^ [_168798, _169263, _169265], _169265), _168798)]]], (4711 ^ _97764) ^ [_168902, _168904] : [_168902 = fiber(_168798, _168904), 4714 ^ _97764 : [(4715 ^ _97764) ^ [_168996] : [in(_168996, _168902), 4718 ^ _97764 : [(4719 ^ _97764) ^ [] : [_168996 = _168904], (4721 ^ _97764) ^ [] : [-(in(ordered_pair(_168996, _168904), _168798))]]], (4723 ^ _97764) ^ [_169115] : [-(in(_169115, _168902)), -(_169115 = _168904), in(ordered_pair(_169115, _168904), _168798)]]]]], (4754 ^ _97764) ^ [_169647, _169649] : [relation(_169647), 4757 ^ _97764 : [(4784 ^ _97764) ^ [] : [-(_169647 = inclusion_relation(_169649)), relation_field(_169647) = _169649, 4791 ^ _97764 : [(4792 ^ _97764) ^ [] : [-(in(4789 ^ [_169647, _169649], _169649))], (4794 ^ _97764) ^ [] : [-(in(4790 ^ [_169647, _169649], _169649))], (4796 ^ _97764) ^ [] : [4797 ^ _97764 : [(4798 ^ _97764) ^ [] : [-(in(ordered_pair(4789 ^ [_169647, _169649], 4790 ^ [_169647, _169649]), _169647))], (4800 ^ _97764) ^ [] : [subset(4789 ^ [_169647, _169649], 4790 ^ [_169647, _169649])]], 4801 ^ _97764 : [(4802 ^ _97764) ^ [] : [-(subset(4789 ^ [_169647, _169649], 4790 ^ [_169647, _169649]))], (4804 ^ _97764) ^ [] : [in(ordered_pair(4789 ^ [_169647, _169649], 4790 ^ [_169647, _169649]), _169647)]]]]], (4758 ^ _97764) ^ [] : [_169647 = inclusion_relation(_169649), 4761 ^ _97764 : [(4762 ^ _97764) ^ [] : [-(relation_field(_169647) = _169649)], (4764 ^ _97764) ^ [_169822, _169824] : [in(_169824, _169649), in(_169822, _169649), 4771 ^ _97764 : [(4772 ^ _97764) ^ [] : [in(ordered_pair(_169824, _169822), _169647), -(subset(_169824, _169822))], (4778 ^ _97764) ^ [] : [subset(_169824, _169822), -(in(ordered_pair(_169824, _169822), _169647))]]]]]]], (4808 ^ _97764) ^ [_170510] : [_170510 = empty_set, 4811 ^ _97764 : [(4812 ^ _97764) ^ [_170571] : [in(_170571, _170510)]]], (4814 ^ _97764) ^ [_170592] : [-(in(4815 ^ [_170592], _170592)), -(_170592 = empty_set)], (4821 ^ _97764) ^ [_170633] : [-(incl_POSet(_170633) = rel_str_of(_170633, inclusion_order(_170633)))], (4839 ^ _97764) ^ [_170913, _170915] : [-(_170913 = powerset(_170915)), 4843 ^ _97764 : [(4844 ^ _97764) ^ [] : [-(in(4840 ^ [_170913, _170915], _170913))], (4846 ^ _97764) ^ [] : [subset(4840 ^ [_170913, _170915], _170915)]], 4847 ^ _97764 : [(4848 ^ _97764) ^ [] : [-(subset(4840 ^ [_170913, _170915], _170915))], (4850 ^ _97764) ^ [] : [in(4840 ^ [_170913, _170915], _170913)]]], (4823 ^ _97764) ^ [_170678, _170680] : [_170678 = powerset(_170680), 4826 ^ _97764 : [(4827 ^ _97764) ^ [_170757] : [in(_170757, _170678), -(subset(_170757, _170680))], (4833 ^ _97764) ^ [_170832] : [subset(_170832, _170680), -(in(_170832, _170678))]]], (4854 ^ _97764) ^ [_171155] : [-(empty_carrier(_171155)), latt_str(_171155), -(empty_carrier(_171155)), lattice(_171155), complete_latt_str(_171155), latt_str(_171155), 4877 ^ _97764 : [(4878 ^ _97764) ^ [_171502, _171504] : [element(_171502, the_carrier(_171155)), 4881 ^ _97764 : [(4898 ^ _97764) ^ [] : [-(_171502 = join_of_latt_set(_171155, _171504)), latt_element_smaller(_171155, _171502, _171504), 4904 ^ _97764 : [(4905 ^ _97764) ^ [] : [-(element(4903 ^ [_171155, _171502, _171504], the_carrier(_171155)))], (4907 ^ _97764) ^ [] : [-(latt_element_smaller(_171155, 4903 ^ [_171155, _171502, _171504], _171504))], (4909 ^ _97764) ^ [] : [below(_171155, _171502, 4903 ^ [_171155, _171502, _171504])]]], (4882 ^ _97764) ^ [] : [_171502 = join_of_latt_set(_171155, _171504), 4885 ^ _97764 : [(4886 ^ _97764) ^ [] : [-(latt_element_smaller(_171155, _171502, _171504))], (4888 ^ _97764) ^ [_171677] : [element(_171677, the_carrier(_171155)), latt_element_smaller(_171155, _171677, _171504), -(below(_171155, _171502, _171677))]]]]]]], (4913 ^ _97764) ^ [_172070] : [4920 ^ _97764 : [(4921 ^ _97764) ^ [_172185] : [-(meet_of_latt_set(_172070, _172185) = join_of_latt_set(_172070, a_2_2_lattice3(_172070, _172185)))]], -(empty_carrier(_172070)), latt_str(_172070)], (4943 ^ _97764) ^ [_172524] : [-(centered(_172524)), -(_172524 = empty_set), 4949 ^ _97764 : [(4950 ^ _97764) ^ [] : [4948 ^ [_172524] = empty_set], (4952 ^ _97764) ^ [] : [-(subset(4948 ^ [_172524], _172524))], (4954 ^ _97764) ^ [] : [-(finite(4948 ^ [_172524]))], (4956 ^ _97764) ^ [] : [-(set_meet(4948 ^ [_172524]) = empty_set)]]], (4923 ^ _97764) ^ [_172233] : [centered(_172233), 4926 ^ _97764 : [(4927 ^ _97764) ^ [] : [_172233 = empty_set], (4929 ^ _97764) ^ [_172342] : [-(_172342 = empty_set), subset(_172342, _172233), finite(_172342), set_meet(_172342) = empty_set]]], (4960 ^ _97764) ^ [_172793] : [-(poset_of_lattice(_172793) = rel_str_of(the_carrier(_172793), k2_lattice3(_172793))), -(empty_carrier(_172793)), lattice(_172793), latt_str(_172793)], (4974 ^ _97764) ^ [_172983] : [-(empty_carrier(_172983)), meet_semilatt_str(_172983), 4981 ^ _97764 : [(4982 ^ _97764) ^ [_173127] : [element(_173127, the_carrier(_172983)), 4985 ^ _97764 : [(4986 ^ _97764) ^ [_173215] : [element(_173215, the_carrier(_172983)), -(meet(_172983, _173127, _173215) = apply_binary_as_element(the_carrier(_172983), the_carrier(_172983), the_carrier(_172983), the_L_meet(_172983), _173127, _173215))]]]]], (4992 ^ _97764) ^ [_173346] : [4993 ^ _97764 : [(4994 ^ _97764) ^ [_173426, _173428] : [_173346 = ordered_pair(_173428, _173426)]], 4995 ^ _97764 : [(5006 ^ _97764) ^ [_173629] : [5009 ^ _97764 : [(5010 ^ _97764) ^ [] : [-(_173346 = ordered_pair(5007 ^ [_173346, _173629], 5008 ^ [_173346, _173629]))], (5012 ^ _97764) ^ [] : [_173629 = 5008 ^ [_173346, _173629]]], -(_173629 = pair_second(_173346))], (4996 ^ _97764) ^ [_173467] : [_173467 = pair_second(_173346), 4999 ^ _97764 : [(5000 ^ _97764) ^ [_173542, _173544] : [_173346 = ordered_pair(_173544, _173542), -(_173467 = _173542)]]]]], (5026 ^ _97764) ^ [_173948] : [5028 ^ _97764 : [(5029 ^ _97764) ^ [] : [-(in(5027 ^ [_173948], _173948))], (5031 ^ _97764) ^ [] : [subset(5027 ^ [_173948], _173948)]], -(epsilon_transitive(_173948))], (5016 ^ _97764) ^ [_173812] : [epsilon_transitive(_173812), 5019 ^ _97764 : [(5020 ^ _97764) ^ [_173871] : [in(_173871, _173812), -(subset(_173871, _173812))]]], (5035 ^ _97764) ^ [_174081] : [one_sorted_str(_174081), -(empty_carrier_subset(_174081) = empty_set)], (5041 ^ _97764) ^ [_174158] : [relation(_174158), 5044 ^ _97764 : [(5045 ^ _97764) ^ [_174244] : [relation(_174244), 5048 ^ _97764 : [(5065 ^ _97764) ^ [] : [-(_174158 = _174244), 5070 ^ _97764 : [(5071 ^ _97764) ^ [] : [-(in(ordered_pair(5066 ^ [_174158, _174244], 5067 ^ [_174158, _174244]), _174158))], (5073 ^ _97764) ^ [] : [in(ordered_pair(5066 ^ [_174158, _174244], 5067 ^ [_174158, _174244]), _174244)]], 5074 ^ _97764 : [(5075 ^ _97764) ^ [] : [-(in(ordered_pair(5066 ^ [_174158, _174244], 5067 ^ [_174158, _174244]), _174244))], (5077 ^ _97764) ^ [] : [in(ordered_pair(5066 ^ [_174158, _174244], 5067 ^ [_174158, _174244]), _174158)]]], (5049 ^ _97764) ^ [] : [_174158 = _174244, 5052 ^ _97764 : [(5053 ^ _97764) ^ [_174390, _174392] : [in(ordered_pair(_174392, _174390), _174158), -(in(ordered_pair(_174392, _174390), _174244))], (5059 ^ _97764) ^ [_174479, _174481] : [in(ordered_pair(_174481, _174479), _174244), -(in(ordered_pair(_174481, _174479), _174158))]]]]]]], (5081 ^ _97764) ^ [_174869, _174871] : [-(empty(_174871)), 5084 ^ _97764 : [(5085 ^ _97764) ^ [] : [element(_174869, _174871), -(in(_174869, _174871))], (5091 ^ _97764) ^ [] : [in(_174869, _174871), -(element(_174869, _174871))]]], (5097 ^ _97764) ^ [_175069, _175071] : [empty(_175071), 5100 ^ _97764 : [(5101 ^ _97764) ^ [] : [element(_175069, _175071), -(empty(_175069))], (5107 ^ _97764) ^ [] : [empty(_175069), -(element(_175069, _175071))]]], (5135 ^ _97764) ^ [_175591, _175593, _175595] : [-(_175591 = unordered_pair(_175595, _175593)), 5139 ^ _97764 : [(5140 ^ _97764) ^ [] : [-(in(5136 ^ [_175591, _175593, _175595], _175591))], (5142 ^ _97764) ^ [] : [5136 ^ [_175591, _175593, _175595] = _175595], (5144 ^ _97764) ^ [] : [5136 ^ [_175591, _175593, _175595] = _175593]], 5145 ^ _97764 : [(5152 ^ _97764) ^ [] : [in(5136 ^ [_175591, _175593, _175595], _175591)], (5146 ^ _97764) ^ [] : [-(5136 ^ [_175591, _175593, _175595] = _175595), -(5136 ^ [_175591, _175593, _175595] = _175593)]]], (5113 ^ _97764) ^ [_175291, _175293, _175295] : [_175291 = unordered_pair(_175295, _175293), 5116 ^ _97764 : [(5127 ^ _97764) ^ [_175470] : [5128 ^ _97764 : [(5129 ^ _97764) ^ [] : [_175470 = _175295], (5131 ^ _97764) ^ [] : [_175470 = _175293]], -(in(_175470, _175291))], (5117 ^ _97764) ^ [_175380] : [in(_175380, _175291), -(_175380 = _175295), -(_175380 = _175293)]]], (5156 ^ _97764) ^ [_175913, _175915] : [element(_175913, _175915), 5159 ^ _97764 : [(5160 ^ _97764) ^ [] : [proper_element(_175913, _175915), _175913 = union(_175915)], (5166 ^ _97764) ^ [] : [-(_175913 = union(_175915)), -(proper_element(_175913, _175915))]]], (5172 ^ _97764) ^ [_176088] : [top_str(_176088), 5175 ^ _97764 : [(5176 ^ _97764) ^ [_176180] : [element(_176180, powerset(powerset(the_carrier(_176088)))), 5179 ^ _97764 : [(5194 ^ _97764) ^ [] : [5196 ^ _97764 : [(5197 ^ _97764) ^ [] : [-(element(5195 ^ [_176088, _176180], powerset(the_carrier(_176088))))], (5199 ^ _97764) ^ [] : [-(in(5195 ^ [_176088, _176180], _176180))], (5201 ^ _97764) ^ [] : [closed_subset(5195 ^ [_176088, _176180], _176088)]], -(closed_subsets(_176180, _176088))], (5180 ^ _97764) ^ [] : [closed_subsets(_176180, _176088), 5183 ^ _97764 : [(5184 ^ _97764) ^ [_176324] : [element(_176324, powerset(the_carrier(_176088))), in(_176324, _176180), -(closed_subset(_176324, _176088))]]]]]]], (5205 ^ _97764) ^ [_176637] : [relation(_176637), 5208 ^ _97764 : [(5226 ^ _97764) ^ [] : [-(well_founded_relation(_176637)), 5228 ^ _97764 : [(5229 ^ _97764) ^ [] : [-(subset(5227 ^ [_176637], relation_field(_176637)))], (5231 ^ _97764) ^ [] : [5227 ^ [_176637] = empty_set], (5233 ^ _97764) ^ [_177058] : [in(_177058, 5227 ^ [_176637]), disjoint(fiber(_176637, _177058), 5227 ^ [_176637])]]], (5209 ^ _97764) ^ [] : [well_founded_relation(_176637), 5212 ^ _97764 : [(5213 ^ _97764) ^ [_176779] : [subset(_176779, relation_field(_176637)), -(_176779 = empty_set), 5221 ^ _97764 : [(5222 ^ _97764) ^ [] : [-(in(5220 ^ [_176637, _176779], _176779))], (5224 ^ _97764) ^ [] : [-(disjoint(fiber(_176637, 5220 ^ [_176637, _176779]), _176779))]]]]]]], (5263 ^ _97764) ^ [_177515, _177517, _177519] : [-(_177515 = set_union2(_177519, _177517)), 5267 ^ _97764 : [(5268 ^ _97764) ^ [] : [-(in(5264 ^ [_177515, _177517, _177519], _177515))], (5270 ^ _97764) ^ [] : [in(5264 ^ [_177515, _177517, _177519], _177519)], (5272 ^ _97764) ^ [] : [in(5264 ^ [_177515, _177517, _177519], _177517)]], 5273 ^ _97764 : [(5280 ^ _97764) ^ [] : [in(5264 ^ [_177515, _177517, _177519], _177515)], (5274 ^ _97764) ^ [] : [-(in(5264 ^ [_177515, _177517, _177519], _177519)), -(in(5264 ^ [_177515, _177517, _177519], _177517))]]], (5241 ^ _97764) ^ [_177215, _177217, _177219] : [_177215 = set_union2(_177219, _177217), 5244 ^ _97764 : [(5255 ^ _97764) ^ [_177394] : [5256 ^ _97764 : [(5257 ^ _97764) ^ [] : [in(_177394, _177219)], (5259 ^ _97764) ^ [] : [in(_177394, _177217)]], -(in(_177394, _177215))], (5245 ^ _97764) ^ [_177304] : [in(_177304, _177215), -(in(_177304, _177219)), -(in(_177304, _177217))]]], (5284 ^ _97764) ^ [_177837] : [-(boole_POSet(_177837) = poset_of_lattice(boole_lattice(_177837)))], (5316 ^ _97764) ^ [_178417, _178419, _178421] : [-(_178417 = cartesian_product2(_178421, _178419)), 5334 ^ _97764 : [(5335 ^ _97764) ^ [] : [-(in(5332 ^ [_178417, _178419, _178421], _178421))], (5337 ^ _97764) ^ [] : [-(in(5333 ^ [_178417, _178419, _178421], _178419))], (5339 ^ _97764) ^ [] : [-(5317 ^ [_178417, _178419, _178421] = ordered_pair(5332 ^ [_178417, _178419, _178421], 5333 ^ [_178417, _178419, _178421]))], (5341 ^ _97764) ^ [] : [in(5317 ^ [_178417, _178419, _178421], _178417)]], 5320 ^ _97764 : [(5321 ^ _97764) ^ [] : [-(in(5317 ^ [_178417, _178419, _178421], _178417))], (5323 ^ _97764) ^ [_178587, _178589] : [in(_178589, _178421), in(_178587, _178419), 5317 ^ [_178417, _178419, _178421] = ordered_pair(_178589, _178587)]]], (5286 ^ _97764) ^ [_177884, _177886, _177888] : [_177884 = cartesian_product2(_177888, _177886), 5289 ^ _97764 : [(5290 ^ _97764) ^ [_177992] : [in(_177992, _177884), 5295 ^ _97764 : [(5296 ^ _97764) ^ [] : [-(in(5293 ^ [_177884, _177886, _177888, _177992], _177888))], (5298 ^ _97764) ^ [] : [-(in(5294 ^ [_177884, _177886, _177888, _177992], _177886))], (5300 ^ _97764) ^ [] : [-(_177992 = ordered_pair(5293 ^ [_177884, _177886, _177888, _177992], 5294 ^ [_177884, _177886, _177888, _177992]))]]], (5302 ^ _97764) ^ [_178179] : [-(in(_178179, _177884)), 5303 ^ _97764 : [(5304 ^ _97764) ^ [_178237, _178239] : [in(_178239, _177888), in(_178237, _177886), _178179 = ordered_pair(_178239, _178237)]]]]], (5345 ^ _97764) ^ [_178935] : [top_str(_178935), 5348 ^ _97764 : [(5349 ^ _97764) ^ [] : [compact_top_space(_178935), 5352 ^ _97764 : [(5353 ^ _97764) ^ [_179099] : [element(_179099, powerset(powerset(the_carrier(_178935)))), is_a_cover_of_carrier(_178935, _179099), open_subsets(_179099, _178935), 5365 ^ _97764 : [(5366 ^ _97764) ^ [] : [-(element(5364 ^ [_178935, _179099], powerset(powerset(the_carrier(_178935)))))], (5368 ^ _97764) ^ [] : [-(subset(5364 ^ [_178935, _179099], _179099))], (5370 ^ _97764) ^ [] : [-(is_a_cover_of_carrier(_178935, 5364 ^ [_178935, _179099]))], (5372 ^ _97764) ^ [] : [-(finite(5364 ^ [_178935, _179099]))]]]]], (5374 ^ _97764) ^ [] : [-(compact_top_space(_178935)), 5376 ^ _97764 : [(5377 ^ _97764) ^ [] : [-(element(5375 ^ [_178935], powerset(powerset(the_carrier(_178935)))))], (5379 ^ _97764) ^ [] : [-(is_a_cover_of_carrier(_178935, 5375 ^ [_178935]))], (5381 ^ _97764) ^ [] : [-(open_subsets(5375 ^ [_178935], _178935))], (5383 ^ _97764) ^ [_179570] : [element(_179570, powerset(powerset(the_carrier(_178935)))), subset(_179570, 5375 ^ [_178935]), is_a_cover_of_carrier(_178935, _179570), finite(_179570)]]]]], (5399 ^ _97764) ^ [_179811] : [5410 ^ _97764 : [(5411 ^ _97764) ^ [_179974] : [element(_179974, the_carrier(_179811)), -(cast_to_el_of_LattPOSet(_179811, _179974) = _179974)]], -(empty_carrier(_179811)), lattice(_179811), latt_str(_179811)], (5417 ^ _97764) ^ [_180065] : [-(empty_carrier(_180065)), join_semilatt_str(_180065), 5424 ^ _97764 : [(5425 ^ _97764) ^ [_180201] : [element(_180201, the_carrier(_180065)), 5428 ^ _97764 : [(5429 ^ _97764) ^ [_180281] : [element(_180281, the_carrier(_180065)), 5432 ^ _97764 : [(5433 ^ _97764) ^ [] : [below(_180065, _180201, _180281), -(join(_180065, _180201, _180281) = _180281)], (5439 ^ _97764) ^ [] : [join(_180065, _180201, _180281) = _180281, -(below(_180065, _180201, _180281))]]]]]]], (5467 ^ _97764) ^ [_180790] : [5470 ^ _97764 : [(5471 ^ _97764) ^ [] : [-(in(5468 ^ [_180790], _180790))], (5473 ^ _97764) ^ [] : [-(in(5469 ^ [_180790], _180790))], (5475 ^ _97764) ^ [] : [in(5468 ^ [_180790], 5469 ^ [_180790])], (5477 ^ _97764) ^ [] : [5468 ^ [_180790] = 5469 ^ [_180790]], (5479 ^ _97764) ^ [] : [in(5469 ^ [_180790], 5468 ^ [_180790])]], -(epsilon_connected(_180790))], (5445 ^ _97764) ^ [_180535] : [epsilon_connected(_180535), 5448 ^ _97764 : [(5449 ^ _97764) ^ [_180625, _180627] : [in(_180627, _180535), in(_180625, _180535), -(in(_180627, _180625)), -(_180627 = _180625), -(in(_180625, _180627))]]], (5483 ^ _97764) ^ [_181104] : [one_sorted_str(_181104), -(cast_as_carrier_subset(_181104) = the_carrier(_181104))], (5489 ^ _97764) ^ [_181185] : [relation(_181185), 5492 ^ _97764 : [(5493 ^ _97764) ^ [_181271] : [relation(_181271), 5496 ^ _97764 : [(5507 ^ _97764) ^ [] : [5510 ^ _97764 : [(5511 ^ _97764) ^ [] : [-(in(ordered_pair(5508 ^ [_181185, _181271], 5509 ^ [_181185, _181271]), _181185))], (5513 ^ _97764) ^ [] : [in(ordered_pair(5508 ^ [_181185, _181271], 5509 ^ [_181185, _181271]), _181271)]], -(subset(_181185, _181271))], (5497 ^ _97764) ^ [] : [subset(_181185, _181271), 5500 ^ _97764 : [(5501 ^ _97764) ^ [_181402, _181404] : [in(ordered_pair(_181404, _181402), _181185), -(in(ordered_pair(_181404, _181402), _181271))]]]]]]], (5527 ^ _97764) ^ [_181815, _181817] : [5529 ^ _97764 : [(5530 ^ _97764) ^ [] : [-(in(5528 ^ [_181815, _181817], _181817))], (5532 ^ _97764) ^ [] : [in(5528 ^ [_181815, _181817], _181815)]], -(subset(_181817, _181815))], (5517 ^ _97764) ^ [_181673, _181675] : [subset(_181675, _181673), 5520 ^ _97764 : [(5521 ^ _97764) ^ [_181736] : [in(_181736, _181675), -(in(_181736, _181673))]]], (5536 ^ _97764) ^ [_181957] : [relation(_181957), 5539 ^ _97764 : [(5557 ^ _97764) ^ [_182322] : [-(is_well_founded_in(_181957, _182322)), 5559 ^ _97764 : [(5560 ^ _97764) ^ [] : [-(subset(5558 ^ [_181957, _182322], _182322))], (5562 ^ _97764) ^ [] : [5558 ^ [_181957, _182322] = empty_set], (5564 ^ _97764) ^ [_182485] : [in(_182485, 5558 ^ [_181957, _182322]), disjoint(fiber(_181957, _182485), 5558 ^ [_181957, _182322])]]], (5540 ^ _97764) ^ [_182065] : [is_well_founded_in(_181957, _182065), 5543 ^ _97764 : [(5544 ^ _97764) ^ [_182154] : [subset(_182154, _182065), -(_182154 = empty_set), 5552 ^ _97764 : [(5553 ^ _97764) ^ [] : [-(in(5551 ^ [_181957, _182065, _182154], _182154))], (5555 ^ _97764) ^ [] : [-(disjoint(fiber(_181957, 5551 ^ [_181957, _182065, _182154]), _182154))]]]]]]], (5594 ^ _97764) ^ [_182984, _182986, _182988] : [-(_182984 = set_intersection2(_182988, _182986)), 5606 ^ _97764 : [(5607 ^ _97764) ^ [] : [-(in(5595 ^ [_182984, _182986, _182988], _182988))], (5609 ^ _97764) ^ [] : [-(in(5595 ^ [_182984, _182986, _182988], _182986))], (5611 ^ _97764) ^ [] : [in(5595 ^ [_182984, _182986, _182988], _182984)]], 5598 ^ _97764 : [(5599 ^ _97764) ^ [] : [-(in(5595 ^ [_182984, _182986, _182988], _182984))], (5601 ^ _97764) ^ [] : [in(5595 ^ [_182984, _182986, _182988], _182988), in(5595 ^ [_182984, _182986, _182988], _182986)]]], (5572 ^ _97764) ^ [_182653, _182655, _182657] : [_182653 = set_intersection2(_182657, _182655), 5575 ^ _97764 : [(5576 ^ _97764) ^ [_182742] : [in(_182742, _182653), 5579 ^ _97764 : [(5580 ^ _97764) ^ [] : [-(in(_182742, _182657))], (5582 ^ _97764) ^ [] : [-(in(_182742, _182655))]]], (5584 ^ _97764) ^ [_182845] : [-(in(_182845, _182653)), in(_182845, _182657), in(_182845, _182655)]]], (5615 ^ _97764) ^ [_183338] : [relation(_183338), function(_183338), 5622 ^ _97764 : [(5623 ^ _97764) ^ [_183498, _183500] : [in(_183500, relation_dom(_183338)), 5626 ^ _97764 : [(5627 ^ _97764) ^ [] : [_183498 = apply(_183338, _183500), -(in(ordered_pair(_183500, _183498), _183338))], (5633 ^ _97764) ^ [] : [in(ordered_pair(_183500, _183498), _183338), -(_183498 = apply(_183338, _183500))]]], (5639 ^ _97764) ^ [_183728, _183730] : [-(in(_183730, relation_dom(_183338))), 5642 ^ _97764 : [(5643 ^ _97764) ^ [] : [_183728 = apply(_183338, _183730), -(_183728 = empty_set)], (5649 ^ _97764) ^ [] : [_183728 = empty_set, -(_183728 = apply(_183338, _183730))]]]]], (5655 ^ _97764) ^ [_183959] : [5666 ^ _97764 : [(5667 ^ _97764) ^ [_184124] : [element(_184124, the_carrier(poset_of_lattice(_183959))), -(cast_to_el_of_lattice(_183959, _184124) = _184124)]], -(empty_carrier(_183959)), lattice(_183959), latt_str(_183959)], (5673 ^ _97764) ^ [_184231] : [ordinal(_184231), 5676 ^ _97764 : [(5677 ^ _97764) ^ [] : [-(epsilon_transitive(_184231))], (5679 ^ _97764) ^ [] : [-(epsilon_connected(_184231))]]], (5681 ^ _97764) ^ [_184322] : [-(ordinal(_184322)), epsilon_transitive(_184322), epsilon_connected(_184322)], (5691 ^ _97764) ^ [_184443] : [relation(_184443), 5694 ^ _97764 : [(5712 ^ _97764) ^ [_184817] : [-(_184817 = relation_dom(_184443)), 5716 ^ _97764 : [(5717 ^ _97764) ^ [] : [-(in(5713 ^ [_184443, _184817], _184817))], (5719 ^ _97764) ^ [_184951] : [in(ordered_pair(5713 ^ [_184443, _184817], _184951), _184443)]], 5721 ^ _97764 : [(5722 ^ _97764) ^ [] : [-(in(ordered_pair(5713 ^ [_184443, _184817], 5720 ^ [_184443, _184817]), _184443))], (5724 ^ _97764) ^ [] : [in(5713 ^ [_184443, _184817], _184817)]]], (5695 ^ _97764) ^ [_184535] : [_184535 = relation_dom(_184443), 5698 ^ _97764 : [(5699 ^ _97764) ^ [_184622] : [in(_184622, _184535), -(in(ordered_pair(_184622, 5702 ^ [_184443, _184535, _184622]), _184443))], (5706 ^ _97764) ^ [_184717] : [5707 ^ _97764 : [(5708 ^ _97764) ^ [_184761] : [in(ordered_pair(_184717, _184761), _184443)]], -(in(_184717, _184535))]]]]], (5728 ^ _97764) ^ [_185098] : [relation(_185098), 5731 ^ _97764 : [(5754 ^ _97764) ^ [_185562] : [5757 ^ _97764 : [(5758 ^ _97764) ^ [] : [-(in(5755 ^ [_185098, _185562], _185562))], (5760 ^ _97764) ^ [] : [-(in(5756 ^ [_185098, _185562], _185562))], (5762 ^ _97764) ^ [] : [-(in(ordered_pair(5755 ^ [_185098, _185562], 5756 ^ [_185098, _185562]), _185098))], (5764 ^ _97764) ^ [] : [-(in(ordered_pair(5756 ^ [_185098, _185562], 5755 ^ [_185098, _185562]), _185098))], (5766 ^ _97764) ^ [] : [5755 ^ [_185098, _185562] = 5756 ^ [_185098, _185562]]], -(is_antisymmetric_in(_185098, _185562))], (5732 ^ _97764) ^ [_185209] : [is_antisymmetric_in(_185098, _185209), 5735 ^ _97764 : [(5736 ^ _97764) ^ [_185301, _185303] : [-(_185303 = _185301), in(_185303, _185209), in(_185301, _185209), in(ordered_pair(_185303, _185301), _185098), in(ordered_pair(_185301, _185303), _185098)]]]]], (5770 ^ _97764) ^ [_185854] : [-(cast_to_subset(_185854) = _185854)], (5795 ^ _97764) ^ [_186260, _186262] : [-(_186260 = union(_186262)), 5808 ^ _97764 : [(5809 ^ _97764) ^ [] : [-(in(5796 ^ [_186260, _186262], 5807 ^ [_186260, _186262]))], (5811 ^ _97764) ^ [] : [-(in(5807 ^ [_186260, _186262], _186262))], (5813 ^ _97764) ^ [] : [in(5796 ^ [_186260, _186262], _186260)]], 5799 ^ _97764 : [(5800 ^ _97764) ^ [] : [-(in(5796 ^ [_186260, _186262], _186260))], (5802 ^ _97764) ^ [_186393] : [in(5796 ^ [_186260, _186262], _186393), in(_186393, _186262)]]], (5772 ^ _97764) ^ [_185894, _185896] : [_185894 = union(_185896), 5775 ^ _97764 : [(5776 ^ _97764) ^ [_185984] : [in(_185984, _185894), 5780 ^ _97764 : [(5781 ^ _97764) ^ [] : [-(in(_185984, 5779 ^ [_185894, _185896, _185984]))], (5783 ^ _97764) ^ [] : [-(in(5779 ^ [_185894, _185896, _185984], _185896))]]], (5785 ^ _97764) ^ [_186108] : [-(in(_186108, _185894)), 5786 ^ _97764 : [(5787 ^ _97764) ^ [_186150] : [in(_186108, _186150), in(_186150, _185896)]]]]], (5817 ^ _97764) ^ [_186619] : [relation(_186619), 5820 ^ _97764 : [(5821 ^ _97764) ^ [] : [well_ordering(_186619), 5824 ^ _97764 : [(5825 ^ _97764) ^ [] : [-(reflexive(_186619))], (5827 ^ _97764) ^ [] : [-(transitive(_186619))], (5829 ^ _97764) ^ [] : [-(antisymmetric(_186619))], (5831 ^ _97764) ^ [] : [-(connected(_186619))], (5833 ^ _97764) ^ [] : [-(well_founded_relation(_186619))]]], (5835 ^ _97764) ^ [] : [-(well_ordering(_186619)), reflexive(_186619), transitive(_186619), antisymmetric(_186619), connected(_186619), well_founded_relation(_186619)]]], (5857 ^ _97764) ^ [_187089, _187091] : [equipotent(_187091, _187089), 5861 ^ _97764 : [(5862 ^ _97764) ^ [] : [-(relation(5860 ^ [_187089, _187091]))], (5864 ^ _97764) ^ [] : [-(function(5860 ^ [_187089, _187091]))], (5866 ^ _97764) ^ [] : [-(one_to_one(5860 ^ [_187089, _187091]))], (5868 ^ _97764) ^ [] : [-(relation_dom(5860 ^ [_187089, _187091]) = _187091)], (5870 ^ _97764) ^ [] : [-(relation_rng(5860 ^ [_187089, _187091]) = _187089)]]], (5872 ^ _97764) ^ [_187302, _187304] : [-(equipotent(_187304, _187302)), 5873 ^ _97764 : [(5874 ^ _97764) ^ [_187361] : [relation(_187361), function(_187361), one_to_one(_187361), relation_dom(_187361) = _187304, relation_rng(_187361) = _187302]]], (5916 ^ _97764) ^ [_187995, _187997, _187999] : [-(_187995 = set_difference(_187999, _187997)), 5928 ^ _97764 : [(5929 ^ _97764) ^ [] : [-(in(5917 ^ [_187995, _187997, _187999], _187999))], (5931 ^ _97764) ^ [] : [in(5917 ^ [_187995, _187997, _187999], _187997)], (5933 ^ _97764) ^ [] : [in(5917 ^ [_187995, _187997, _187999], _187995)]], 5920 ^ _97764 : [(5921 ^ _97764) ^ [] : [-(in(5917 ^ [_187995, _187997, _187999], _187995))], (5923 ^ _97764) ^ [] : [in(5917 ^ [_187995, _187997, _187999], _187999), -(in(5917 ^ [_187995, _187997, _187999], _187997))]]], (5894 ^ _97764) ^ [_187651, _187653, _187655] : [_187651 = set_difference(_187655, _187653), 5897 ^ _97764 : [(5898 ^ _97764) ^ [_187742] : [in(_187742, _187651), 5901 ^ _97764 : [(5902 ^ _97764) ^ [] : [-(in(_187742, _187655))], (5904 ^ _97764) ^ [] : [in(_187742, _187653)]]], (5906 ^ _97764) ^ [_187853] : [-(in(_187853, _187651)), in(_187853, _187655), -(in(_187853, _187653))]]], (5937 ^ _97764) ^ [_188361] : [rel_str(_188361), 5940 ^ _97764 : [(5941 ^ _97764) ^ [] : [lower_bounded_relstr(_188361), 5945 ^ _97764 : [(5946 ^ _97764) ^ [] : [-(element(5944 ^ [_188361], the_carrier(_188361)))], (5948 ^ _97764) ^ [] : [-(relstr_element_smaller(_188361, the_carrier(_188361), 5944 ^ [_188361]))]]], (5950 ^ _97764) ^ [] : [-(lower_bounded_relstr(_188361)), 5951 ^ _97764 : [(5952 ^ _97764) ^ [_188555] : [element(_188555, the_carrier(_188361)), relstr_element_smaller(_188361, the_carrier(_188361), _188555)]]]]], (5960 ^ _97764) ^ [_188674] : [relation(_188674), function(_188674), 5967 ^ _97764 : [(5991 ^ _97764) ^ [_189218] : [-(_189218 = relation_rng(_188674)), 6004 ^ _97764 : [(6005 ^ _97764) ^ [] : [-(in(6003 ^ [_188674, _189218], relation_dom(_188674)))], (6007 ^ _97764) ^ [] : [-(5992 ^ [_188674, _189218] = apply(_188674, 6003 ^ [_188674, _189218]))], (6009 ^ _97764) ^ [] : [in(5992 ^ [_188674, _189218], _189218)]], 5995 ^ _97764 : [(5996 ^ _97764) ^ [] : [-(in(5992 ^ [_188674, _189218], _189218))], (5998 ^ _97764) ^ [_189361] : [in(_189361, relation_dom(_188674)), 5992 ^ [_188674, _189218] = apply(_188674, _189361)]]], (5968 ^ _97764) ^ [_188822] : [_188822 = relation_rng(_188674), 5971 ^ _97764 : [(5972 ^ _97764) ^ [_188917] : [in(_188917, _188822), 5976 ^ _97764 : [(5977 ^ _97764) ^ [] : [-(in(5975 ^ [_188674, _188822, _188917], relation_dom(_188674)))], (5979 ^ _97764) ^ [] : [-(_188917 = apply(_188674, 5975 ^ [_188674, _188822, _188917]))]]], (5981 ^ _97764) ^ [_189051] : [-(in(_189051, _188822)), 5982 ^ _97764 : [(5983 ^ _97764) ^ [_189098] : [in(_189098, relation_dom(_188674)), _189051 = apply(_188674, _189098)]]]]]]], (6013 ^ _97764) ^ [_189608] : [rel_str(_189608), 6016 ^ _97764 : [(6017 ^ _97764) ^ [] : [transitive_relstr(_189608), -(is_transitive_in(the_InternalRel(_189608), the_carrier(_189608)))], (6023 ^ _97764) ^ [] : [is_transitive_in(the_InternalRel(_189608), the_carrier(_189608)), -(transitive_relstr(_189608))]]], (6029 ^ _97764) ^ [_189828] : [_189828 = omega, 6032 ^ _97764 : [(6033 ^ _97764) ^ [] : [-(in(empty_set, _189828))], (6035 ^ _97764) ^ [] : [-(being_limit_ordinal(_189828))], (6037 ^ _97764) ^ [] : [-(ordinal(_189828))], (6039 ^ _97764) ^ [_189976] : [ordinal(_189976), -(subset(_189828, _189976)), in(empty_set, _189976), being_limit_ordinal(_189976)]]], (6053 ^ _97764) ^ [_190159] : [-(_190159 = omega), in(empty_set, _190159), being_limit_ordinal(_190159), ordinal(_190159), 6067 ^ _97764 : [(6068 ^ _97764) ^ [] : [-(ordinal(6066 ^ [_190159]))], (6070 ^ _97764) ^ [] : [-(in(empty_set, 6066 ^ [_190159]))], (6072 ^ _97764) ^ [] : [-(being_limit_ordinal(6066 ^ [_190159]))], (6074 ^ _97764) ^ [] : [subset(_190159, 6066 ^ [_190159])]]], (6078 ^ _97764) ^ [_190511] : [top_str(_190511), 6081 ^ _97764 : [(6082 ^ _97764) ^ [_190582] : [element(_190582, powerset(the_carrier(_190511))), 6085 ^ _97764 : [(6086 ^ _97764) ^ [] : [open_subset(_190582, _190511), -(in(_190582, the_topology(_190511)))], (6092 ^ _97764) ^ [] : [in(_190582, the_topology(_190511)), -(open_subset(_190582, _190511))]]]]], (6098 ^ _97764) ^ [_190807] : [relation(_190807), 6101 ^ _97764 : [(6119 ^ _97764) ^ [_191181] : [-(_191181 = relation_rng(_190807)), 6123 ^ _97764 : [(6124 ^ _97764) ^ [] : [-(in(6120 ^ [_190807, _191181], _191181))], (6126 ^ _97764) ^ [_191315] : [in(ordered_pair(_191315, 6120 ^ [_190807, _191181]), _190807)]], 6128 ^ _97764 : [(6129 ^ _97764) ^ [] : [-(in(ordered_pair(6127 ^ [_190807, _191181], 6120 ^ [_190807, _191181]), _190807))], (6131 ^ _97764) ^ [] : [in(6120 ^ [_190807, _191181], _191181)]]], (6102 ^ _97764) ^ [_190899] : [_190899 = relation_rng(_190807), 6105 ^ _97764 : [(6106 ^ _97764) ^ [_190986] : [in(_190986, _190899), -(in(ordered_pair(6109 ^ [_190807, _190899, _190986], _190986), _190807))], (6113 ^ _97764) ^ [_191081] : [6114 ^ _97764 : [(6115 ^ _97764) ^ [_191125] : [in(ordered_pair(_191125, _191081), _190807)]], -(in(_191081, _190899))]]]]], (6135 ^ _97764) ^ [_191462, _191464] : [element(_191462, powerset(_191464)), -(subset_complement(_191464, _191462) = set_difference(_191464, _191462))], (6141 ^ _97764) ^ [_191555, _191557] : [-(ordered_pair(_191557, _191555) = unordered_pair(unordered_pair(_191557, _191555), singleton(_191557)))], (6143 ^ _97764) ^ [_191591] : [relation(_191591), 6146 ^ _97764 : [(6147 ^ _97764) ^ [_191686] : [well_orders(_191591, _191686), 6150 ^ _97764 : [(6151 ^ _97764) ^ [] : [-(is_reflexive_in(_191591, _191686))], (6153 ^ _97764) ^ [] : [-(is_transitive_in(_191591, _191686))], (6155 ^ _97764) ^ [] : [-(is_antisymmetric_in(_191591, _191686))], (6157 ^ _97764) ^ [] : [-(is_connected_in(_191591, _191686))], (6159 ^ _97764) ^ [] : [-(is_well_founded_in(_191591, _191686))]]], (6161 ^ _97764) ^ [_191857] : [-(well_orders(_191591, _191857)), is_reflexive_in(_191591, _191857), is_transitive_in(_191591, _191857), is_antisymmetric_in(_191591, _191857), is_connected_in(_191591, _191857), is_well_founded_in(_191591, _191857)]]], (6183 ^ _97764) ^ [_192148] : [rel_str(_192148), 6186 ^ _97764 : [(6187 ^ _97764) ^ [] : [antisymmetric_relstr(_192148), -(is_antisymmetric_in(the_InternalRel(_192148), the_carrier(_192148)))], (6193 ^ _97764) ^ [] : [is_antisymmetric_in(the_InternalRel(_192148), the_carrier(_192148)), -(antisymmetric_relstr(_192148))]]], (6199 ^ _97764) ^ [_192368] : [being_limit_ordinal(_192368), -(_192368 = union(_192368))], (6205 ^ _97764) ^ [_192441] : [_192441 = union(_192441), -(being_limit_ordinal(_192441))], (6211 ^ _97764) ^ [_192520] : [top_str(_192520), 6214 ^ _97764 : [(6215 ^ _97764) ^ [_192597] : [element(_192597, powerset(the_carrier(_192520))), 6218 ^ _97764 : [(6219 ^ _97764) ^ [] : [closed_subset(_192597, _192520), -(open_subset(subset_difference(the_carrier(_192520), cast_as_carrier_subset(_192520), _192597), _192520))], (6225 ^ _97764) ^ [] : [open_subset(subset_difference(the_carrier(_192520), cast_as_carrier_subset(_192520), _192597), _192520), -(closed_subset(_192597, _192520))]]]]], (6231 ^ _97764) ^ [_192840] : [relation(_192840), -(relation_field(_192840) = set_union2(relation_dom(_192840), relation_rng(_192840)))], (6237 ^ _97764) ^ [_192931] : [relation(_192931), 6240 ^ _97764 : [(6263 ^ _97764) ^ [_193331] : [6266 ^ _97764 : [(6267 ^ _97764) ^ [] : [-(in(6264 ^ [_192931, _193331], _193331))], (6269 ^ _97764) ^ [] : [-(in(6265 ^ [_192931, _193331], _193331))], (6271 ^ _97764) ^ [] : [6264 ^ [_192931, _193331] = 6265 ^ [_192931, _193331]], (6273 ^ _97764) ^ [] : [in(ordered_pair(6264 ^ [_192931, _193331], 6265 ^ [_192931, _193331]), _192931)], (6275 ^ _97764) ^ [] : [in(ordered_pair(6265 ^ [_192931, _193331], 6264 ^ [_192931, _193331]), _192931)]], -(is_connected_in(_192931, _193331))], (6241 ^ _97764) ^ [_193050] : [is_connected_in(_192931, _193050), 6244 ^ _97764 : [(6245 ^ _97764) ^ [_193150, _193152] : [in(_193152, _193050), in(_193150, _193050), -(_193152 = _193150), -(in(ordered_pair(_193152, _193150), _192931)), -(in(ordered_pair(_193150, _193152), _192931))]]]]], (6279 ^ _97764) ^ [_193696] : [relation(_193696), 6282 ^ _97764 : [(6283 ^ _97764) ^ [_193760] : [-(relation_restriction(_193696, _193760) = set_intersection2(_193696, cartesian_product2(_193760, _193760)))]]], (6285 ^ _97764) ^ [_193796] : [relation(_193796), 6288 ^ _97764 : [(6289 ^ _97764) ^ [_193884] : [relation(_193884), 6292 ^ _97764 : [(6309 ^ _97764) ^ [] : [-(_193884 = relation_inverse(_193796)), 6314 ^ _97764 : [(6315 ^ _97764) ^ [] : [-(in(ordered_pair(6310 ^ [_193796, _193884], 6311 ^ [_193796, _193884]), _193884))], (6317 ^ _97764) ^ [] : [in(ordered_pair(6311 ^ [_193796, _193884], 6310 ^ [_193796, _193884]), _193796)]], 6318 ^ _97764 : [(6319 ^ _97764) ^ [] : [-(in(ordered_pair(6311 ^ [_193796, _193884], 6310 ^ [_193796, _193884]), _193796))], (6321 ^ _97764) ^ [] : [in(ordered_pair(6310 ^ [_193796, _193884], 6311 ^ [_193796, _193884]), _193884)]]], (6293 ^ _97764) ^ [] : [_193884 = relation_inverse(_193796), 6296 ^ _97764 : [(6297 ^ _97764) ^ [_194034, _194036] : [in(ordered_pair(_194036, _194034), _193884), -(in(ordered_pair(_194034, _194036), _193796))], (6303 ^ _97764) ^ [_194123, _194125] : [in(ordered_pair(_194123, _194125), _193796), -(in(ordered_pair(_194125, _194123), _193884))]]]]]]], (6325 ^ _97764) ^ [_194507] : [relation(_194507), 6328 ^ _97764 : [(6329 ^ _97764) ^ [_194656] : [relation(_194656), 6332 ^ _97764 : [(6333 ^ _97764) ^ [_194797] : [relation(_194797), function(_194797), 6340 ^ _97764 : [(6375 ^ _97764) ^ [] : [-(relation_isomorphism(_194507, _194656, _194797)), relation_dom(_194797) = relation_field(_194507), relation_rng(_194797) = relation_field(_194656), one_to_one(_194797), 6404 ^ _97764 : [(6405 ^ _97764) ^ [] : [-(in(6388 ^ [_194507, _194656, _194797], relation_field(_194507)))], (6407 ^ _97764) ^ [] : [-(in(6389 ^ [_194507, _194656, _194797], relation_field(_194507)))], (6409 ^ _97764) ^ [] : [-(in(ordered_pair(apply(_194797, 6388 ^ [_194507, _194656, _194797]), apply(_194797, 6389 ^ [_194507, _194656, _194797])), _194656))], (6411 ^ _97764) ^ [] : [in(ordered_pair(6388 ^ [_194507, _194656, _194797], 6389 ^ [_194507, _194656, _194797]), _194507)]], 6392 ^ _97764 : [(6393 ^ _97764) ^ [] : [-(in(ordered_pair(6388 ^ [_194507, _194656, _194797], 6389 ^ [_194507, _194656, _194797]), _194507))], (6395 ^ _97764) ^ [] : [in(6388 ^ [_194507, _194656, _194797], relation_field(_194507)), in(6389 ^ [_194507, _194656, _194797], relation_field(_194507)), in(ordered_pair(apply(_194797, 6388 ^ [_194507, _194656, _194797]), apply(_194797, 6389 ^ [_194507, _194656, _194797])), _194656)]]], (6341 ^ _97764) ^ [] : [relation_isomorphism(_194507, _194656, _194797), 6344 ^ _97764 : [(6345 ^ _97764) ^ [] : [-(relation_dom(_194797) = relation_field(_194507))], (6347 ^ _97764) ^ [] : [-(relation_rng(_194797) = relation_field(_194656))], (6349 ^ _97764) ^ [] : [-(one_to_one(_194797))], (6351 ^ _97764) ^ [_195119, _195121] : [in(ordered_pair(_195121, _195119), _194507), 6354 ^ _97764 : [(6355 ^ _97764) ^ [] : [-(in(_195121, relation_field(_194507)))], (6357 ^ _97764) ^ [] : [-(in(_195119, relation_field(_194507)))], (6359 ^ _97764) ^ [] : [-(in(ordered_pair(apply(_194797, _195121), apply(_194797, _195119)), _194656))]]], (6361 ^ _97764) ^ [_195280, _195282] : [-(in(ordered_pair(_195282, _195280), _194507)), in(_195282, relation_field(_194507)), in(_195280, relation_field(_194507)), in(ordered_pair(apply(_194797, _195282), apply(_194797, _195280)), _194656)]]]]]]]]], (6415 ^ _97764) ^ [_196226, _196228] : [disjoint(_196228, _196226), -(set_intersection2(_196228, _196226) = empty_set)], (6421 ^ _97764) ^ [_196305, _196307] : [set_intersection2(_196307, _196305) = empty_set, -(disjoint(_196307, _196305))], (6427 ^ _97764) ^ [_196390] : [rel_str(_196390), 6430 ^ _97764 : [(6469 ^ _97764) ^ [_197345] : [-(ex_sup_of_relstr_set(_196390, _197345)), 6470 ^ _97764 : [(6471 ^ _97764) ^ [_197468] : [element(_197468, the_carrier(_196390)), relstr_set_smaller(_196390, _197345, _197468), 6481 ^ _97764 : [(6482 ^ _97764) ^ [] : [-(element(6480 ^ [_196390, _197345, _197468], the_carrier(_196390)))], (6484 ^ _97764) ^ [] : [-(relstr_set_smaller(_196390, _197345, 6480 ^ [_196390, _197345, _197468]))], (6486 ^ _97764) ^ [] : [related(_196390, _197468, 6480 ^ [_196390, _197345, _197468])]], 6488 ^ _97764 : [(6489 ^ _97764) ^ [] : [-(element(6487 ^ [_196390, _197345, _197468], the_carrier(_196390)))], (6503 ^ _97764) ^ [] : [6487 ^ [_196390, _197345, _197468] = _197468], (6491 ^ _97764) ^ [] : [-(relstr_set_smaller(_196390, _197345, 6487 ^ [_196390, _197345, _197468]))], (6493 ^ _97764) ^ [_197916] : [element(_197916, the_carrier(_196390)), relstr_set_smaller(_196390, _197345, _197916), -(related(_196390, 6487 ^ [_196390, _197345, _197468], _197916))]]]]], (6431 ^ _97764) ^ [_196555] : [ex_sup_of_relstr_set(_196390, _196555), 6435 ^ _97764 : [(6436 ^ _97764) ^ [] : [-(element(6434 ^ [_196390, _196555], the_carrier(_196390)))], (6438 ^ _97764) ^ [] : [-(relstr_set_smaller(_196390, _196555, 6434 ^ [_196390, _196555]))], (6440 ^ _97764) ^ [_196857] : [element(_196857, the_carrier(_196390)), relstr_set_smaller(_196390, _196555, _196857), -(related(_196390, 6434 ^ [_196390, _196555], _196857))], (6450 ^ _97764) ^ [_197008] : [element(_197008, the_carrier(_196390)), -(_197008 = 6434 ^ [_196390, _196555]), relstr_set_smaller(_196390, _196555, _197008), 6460 ^ _97764 : [(6461 ^ _97764) ^ [] : [-(element(6459 ^ [_196390, _196555, _197008], the_carrier(_196390)))], (6463 ^ _97764) ^ [] : [-(relstr_set_smaller(_196390, _196555, 6459 ^ [_196390, _196555, _197008]))], (6465 ^ _97764) ^ [] : [related(_196390, _197008, 6459 ^ [_196390, _196555, _197008])]]]]]]], (6507 ^ _97764) ^ [_198156] : [-(relation_of_lattice(_198156) = a_1_0_filter_1(_198156)), -(empty_carrier(_198156)), lattice(_198156), latt_str(_198156)], (6521 ^ _97764) ^ [_198336] : [relation(_198336), function(_198336), 6528 ^ _97764 : [(6547 ^ _97764) ^ [] : [6550 ^ _97764 : [(6551 ^ _97764) ^ [] : [-(in(6548 ^ [_198336], relation_dom(_198336)))], (6553 ^ _97764) ^ [] : [-(in(6549 ^ [_198336], relation_dom(_198336)))], (6555 ^ _97764) ^ [] : [-(apply(_198336, 6548 ^ [_198336]) = apply(_198336, 6549 ^ [_198336]))], (6557 ^ _97764) ^ [] : [6548 ^ [_198336] = 6549 ^ [_198336]]], -(one_to_one(_198336))], (6529 ^ _97764) ^ [] : [one_to_one(_198336), 6532 ^ _97764 : [(6533 ^ _97764) ^ [_198525, _198527] : [-(_198527 = _198525), in(_198527, relation_dom(_198336)), in(_198525, relation_dom(_198336)), apply(_198336, _198527) = apply(_198336, _198525)]]]]], (6561 ^ _97764) ^ [_198928] : [rel_str(_198928), 6564 ^ _97764 : [(6565 ^ _97764) ^ [_199021, _199023] : [element(_199021, the_carrier(_198928)), 6568 ^ _97764 : [(6583 ^ _97764) ^ [] : [6585 ^ _97764 : [(6586 ^ _97764) ^ [] : [-(element(6584 ^ [_198928, _199021, _199023], the_carrier(_198928)))], (6588 ^ _97764) ^ [] : [-(in(6584 ^ [_198928, _199021, _199023], _199023))], (6590 ^ _97764) ^ [] : [related(_198928, _199021, 6584 ^ [_198928, _199021, _199023])]], -(relstr_element_smaller(_198928, _199023, _199021))], (6569 ^ _97764) ^ [] : [relstr_element_smaller(_198928, _199023, _199021), 6572 ^ _97764 : [(6573 ^ _97764) ^ [_199162] : [element(_199162, the_carrier(_198928)), in(_199162, _199023), -(related(_198928, _199021, _199162))]]]]]]], (6594 ^ _97764) ^ [_199488] : [-(empty_carrier(_199488)), latt_str(_199488), 6601 ^ _97764 : [(6616 ^ _97764) ^ [] : [6618 ^ _97764 : [(6619 ^ _97764) ^ [] : [-(element(6617 ^ [_199488], the_carrier(_199488)))], (6622 ^ _97764) ^ [] : [-(element(6620 ^ [_199488], the_carrier(_199488)))], (6624 ^ _97764) ^ [] : [join(_199488, meet(_199488, 6617 ^ [_199488], 6620 ^ [_199488]), 6620 ^ [_199488]) = 6620 ^ [_199488]]], -(meet_absorbing(_199488))], (6602 ^ _97764) ^ [] : [meet_absorbing(_199488), 6605 ^ _97764 : [(6606 ^ _97764) ^ [_199676] : [element(_199676, the_carrier(_199488)), 6609 ^ _97764 : [(6610 ^ _97764) ^ [_199753] : [element(_199753, the_carrier(_199488)), -(join(_199488, meet(_199488, _199676, _199753), _199753) = _199753)]]]]]]], (6628 ^ _97764) ^ [_200076] : [one_sorted_str(_200076), 6631 ^ _97764 : [(6632 ^ _97764) ^ [_200154] : [element(_200154, powerset(powerset(the_carrier(_200076)))), 6635 ^ _97764 : [(6636 ^ _97764) ^ [] : [is_a_cover_of_carrier(_200076, _200154), -(cast_as_carrier_subset(_200076) = union_of_subsets(the_carrier(_200076), _200154))], (6642 ^ _97764) ^ [] : [cast_as_carrier_subset(_200076) = union_of_subsets(the_carrier(_200076), _200154), -(is_a_cover_of_carrier(_200076, _200154))]]]]], (6648 ^ _97764) ^ [_200398] : [relation(_200398), 6651 ^ _97764 : [(6652 ^ _97764) ^ [_200511] : [relation(_200511), 6655 ^ _97764 : [(6656 ^ _97764) ^ [_200616] : [relation(_200616), 6659 ^ _97764 : [(6683 ^ _97764) ^ [] : [-(_200616 = relation_composition(_200398, _200511)), 6697 ^ _97764 : [(6698 ^ _97764) ^ [] : [-(in(ordered_pair(6684 ^ [_200398, _200511, _200616], 6696 ^ [_200398, _200511, _200616]), _200398))], (6700 ^ _97764) ^ [] : [-(in(ordered_pair(6696 ^ [_200398, _200511, _200616], 6685 ^ [_200398, _200511, _200616]), _200511))], (6702 ^ _97764) ^ [] : [in(ordered_pair(6684 ^ [_200398, _200511, _200616], 6685 ^ [_200398, _200511, _200616]), _200616)]], 6688 ^ _97764 : [(6689 ^ _97764) ^ [] : [-(in(ordered_pair(6684 ^ [_200398, _200511, _200616], 6685 ^ [_200398, _200511, _200616]), _200616))], (6691 ^ _97764) ^ [_201272] : [in(ordered_pair(6684 ^ [_200398, _200511, _200616], _201272), _200398), in(ordered_pair(_201272, 6685 ^ [_200398, _200511, _200616]), _200511)]]], (6660 ^ _97764) ^ [] : [_200616 = relation_composition(_200398, _200511), 6663 ^ _97764 : [(6664 ^ _97764) ^ [_200786, _200788] : [in(ordered_pair(_200788, _200786), _200616), 6668 ^ _97764 : [(6669 ^ _97764) ^ [] : [-(in(ordered_pair(_200788, 6667 ^ [_200398, _200511, _200616, _200786, _200788]), _200398))], (6671 ^ _97764) ^ [] : [-(in(ordered_pair(6667 ^ [_200398, _200511, _200616, _200786, _200788], _200786), _200511))]]], (6673 ^ _97764) ^ [_200940, _200942] : [-(in(ordered_pair(_200942, _200940), _200616)), 6674 ^ _97764 : [(6675 ^ _97764) ^ [_200995] : [in(ordered_pair(_200942, _200995), _200398), in(ordered_pair(_200995, _200940), _200511)]]]]]]]]]]], (6706 ^ _97764) ^ [_201582] : [relation(_201582), 6709 ^ _97764 : [(6736 ^ _97764) ^ [_202146] : [6740 ^ _97764 : [(6741 ^ _97764) ^ [] : [-(in(6737 ^ [_201582, _202146], _202146))], (6743 ^ _97764) ^ [] : [-(in(6738 ^ [_201582, _202146], _202146))], (6745 ^ _97764) ^ [] : [-(in(6739 ^ [_201582, _202146], _202146))], (6747 ^ _97764) ^ [] : [-(in(ordered_pair(6737 ^ [_201582, _202146], 6738 ^ [_201582, _202146]), _201582))], (6749 ^ _97764) ^ [] : [-(in(ordered_pair(6738 ^ [_201582, _202146], 6739 ^ [_201582, _202146]), _201582))], (6751 ^ _97764) ^ [] : [in(ordered_pair(6737 ^ [_201582, _202146], 6739 ^ [_201582, _202146]), _201582)]], -(is_transitive_in(_201582, _202146))], (6710 ^ _97764) ^ [_201707] : [is_transitive_in(_201582, _201707), 6713 ^ _97764 : [(6714 ^ _97764) ^ [_201813, _201815, _201817] : [-(in(ordered_pair(_201817, _201813), _201582)), in(_201817, _201707), in(_201815, _201707), in(_201813, _201707), in(ordered_pair(_201817, _201815), _201582), in(ordered_pair(_201815, _201813), _201582)]]]]], (6755 ^ _97764) ^ [_202485, _202487] : [element(_202485, powerset(powerset(_202487))), 6758 ^ _97764 : [(6759 ^ _97764) ^ [_202591] : [element(_202591, powerset(powerset(_202487))), 6762 ^ _97764 : [(6783 ^ _97764) ^ [] : [-(_202591 = complements_of_subsets(_202487, _202485)), 6785 ^ _97764 : [(6786 ^ _97764) ^ [] : [-(element(6784 ^ [_202485, _202487, _202591], powerset(_202487)))], (6788 ^ _97764) ^ [] : [6789 ^ _97764 : [(6790 ^ _97764) ^ [] : [-(in(6784 ^ [_202485, _202487, _202591], _202591))], (6792 ^ _97764) ^ [] : [in(subset_complement(_202487, 6784 ^ [_202485, _202487, _202591]), _202485)]], 6793 ^ _97764 : [(6794 ^ _97764) ^ [] : [-(in(subset_complement(_202487, 6784 ^ [_202485, _202487, _202591]), _202485))], (6796 ^ _97764) ^ [] : [in(6784 ^ [_202485, _202487, _202591], _202591)]]]]], (6763 ^ _97764) ^ [] : [_202591 = complements_of_subsets(_202487, _202485), 6766 ^ _97764 : [(6767 ^ _97764) ^ [_202742] : [element(_202742, powerset(_202487)), 6770 ^ _97764 : [(6771 ^ _97764) ^ [] : [in(_202742, _202591), -(in(subset_complement(_202487, _202742), _202485))], (6777 ^ _97764) ^ [] : [in(subset_complement(_202487, _202742), _202485), -(in(_202742, _202591))]]]]]]]]], (6800 ^ _97764) ^ [_203267] : [-(empty_carrier(_203267)), one_sorted_str(_203267), 6807 ^ _97764 : [(6808 ^ _97764) ^ [_203409] : [-(empty_carrier(_203409)), net_str(_203409, _203267), 6815 ^ _97764 : [(6816 ^ _97764) ^ [_203539] : [element(_203539, the_carrier(_203409)), -(apply_netmap(_203267, _203409, _203539) = apply_on_structs(_203409, _203267, the_mapping(_203267, _203409), _203539))]]]]], (6822 ^ _97764) ^ [_203673, _203675] : [proper_subset(_203675, _203673), 6825 ^ _97764 : [(6826 ^ _97764) ^ [] : [-(subset(_203675, _203673))], (6828 ^ _97764) ^ [] : [_203675 = _203673]]], (6830 ^ _97764) ^ [_203780, _203782] : [-(proper_subset(_203782, _203780)), subset(_203782, _203780), -(_203782 = _203780)], (6840 ^ _97764) ^ [_203914] : [rel_str(_203914), 6843 ^ _97764 : [(6882 ^ _97764) ^ [_204869] : [-(ex_inf_of_relstr_set(_203914, _204869)), 6883 ^ _97764 : [(6884 ^ _97764) ^ [_204992] : [element(_204992, the_carrier(_203914)), relstr_element_smaller(_203914, _204869, _204992), 6894 ^ _97764 : [(6895 ^ _97764) ^ [] : [-(element(6893 ^ [_203914, _204869, _204992], the_carrier(_203914)))], (6897 ^ _97764) ^ [] : [-(relstr_element_smaller(_203914, _204869, 6893 ^ [_203914, _204869, _204992]))], (6899 ^ _97764) ^ [] : [related(_203914, 6893 ^ [_203914, _204869, _204992], _204992)]], 6901 ^ _97764 : [(6902 ^ _97764) ^ [] : [-(element(6900 ^ [_203914, _204869, _204992], the_carrier(_203914)))], (6916 ^ _97764) ^ [] : [6900 ^ [_203914, _204869, _204992] = _204992], (6904 ^ _97764) ^ [] : [-(relstr_element_smaller(_203914, _204869, 6900 ^ [_203914, _204869, _204992]))], (6906 ^ _97764) ^ [_205440] : [element(_205440, the_carrier(_203914)), relstr_element_smaller(_203914, _204869, _205440), -(related(_203914, _205440, 6900 ^ [_203914, _204869, _204992]))]]]]], (6844 ^ _97764) ^ [_204079] : [ex_inf_of_relstr_set(_203914, _204079), 6848 ^ _97764 : [(6849 ^ _97764) ^ [] : [-(element(6847 ^ [_203914, _204079], the_carrier(_203914)))], (6851 ^ _97764) ^ [] : [-(relstr_element_smaller(_203914, _204079, 6847 ^ [_203914, _204079]))], (6853 ^ _97764) ^ [_204381] : [element(_204381, the_carrier(_203914)), relstr_element_smaller(_203914, _204079, _204381), -(related(_203914, _204381, 6847 ^ [_203914, _204079]))], (6863 ^ _97764) ^ [_204532] : [element(_204532, the_carrier(_203914)), -(_204532 = 6847 ^ [_203914, _204079]), relstr_element_smaller(_203914, _204079, _204532), 6873 ^ _97764 : [(6874 ^ _97764) ^ [] : [-(element(6872 ^ [_203914, _204079, _204532], the_carrier(_203914)))], (6876 ^ _97764) ^ [] : [-(relstr_element_smaller(_203914, _204079, 6872 ^ [_203914, _204079, _204532]))], (6878 ^ _97764) ^ [] : [related(_203914, 6872 ^ [_203914, _204079, _204532], _204532)]]]]]]], (6920 ^ _97764) ^ [_205680] : [one_sorted_str(_205680), 6923 ^ _97764 : [(6924 ^ _97764) ^ [_205780] : [net_str(_205780, _205680), 6927 ^ _97764 : [(6928 ^ _97764) ^ [_205873] : [net_str(_205873, _205680), 6931 ^ _97764 : [(6932 ^ _97764) ^ [] : [subnetstr(_205873, _205680, _205780), 6935 ^ _97764 : [(6936 ^ _97764) ^ [] : [-(subrelstr(_205873, _205780))], (6938 ^ _97764) ^ [] : [-(the_mapping(_205680, _205873) = relation_dom_restr_as_relation_of(the_carrier(_205780), the_carrier(_205680), the_mapping(_205680, _205780), the_carrier(_205873)))]]], (6940 ^ _97764) ^ [] : [-(subnetstr(_205873, _205680, _205780)), subrelstr(_205873, _205780), the_mapping(_205680, _205873) = relation_dom_restr_as_relation_of(the_carrier(_205780), the_carrier(_205680), the_mapping(_205680, _205780), the_carrier(_205873))]]]]]]], (6950 ^ _97764) ^ [_206222] : [relation(_206222), function(_206222), one_to_one(_206222), -(function_inverse(_206222) = relation_inverse(_206222))], (6964 ^ _97764) ^ [_206401] : [rel_str(_206401), 6967 ^ _97764 : [(6968 ^ _97764) ^ [_206494, _206496] : [element(_206494, the_carrier(_206401)), 6971 ^ _97764 : [(6986 ^ _97764) ^ [] : [6988 ^ _97764 : [(6989 ^ _97764) ^ [] : [-(element(6987 ^ [_206401, _206494, _206496], the_carrier(_206401)))], (6991 ^ _97764) ^ [] : [-(in(6987 ^ [_206401, _206494, _206496], _206496))], (6993 ^ _97764) ^ [] : [related(_206401, 6987 ^ [_206401, _206494, _206496], _206494)]], -(relstr_set_smaller(_206401, _206496, _206494))], (6972 ^ _97764) ^ [] : [relstr_set_smaller(_206401, _206496, _206494), 6975 ^ _97764 : [(6976 ^ _97764) ^ [_206635] : [element(_206635, the_carrier(_206401)), in(_206635, _206496), -(related(_206401, _206635, _206494))]]]]]]], (6997 ^ _97764) ^ [_206961] : [rel_str(_206961), 7000 ^ _97764 : [(7001 ^ _97764) ^ [_207047] : [element(_207047, the_carrier(_206961)), 7004 ^ _97764 : [(7005 ^ _97764) ^ [_207128] : [element(_207128, the_carrier(_206961)), 7008 ^ _97764 : [(7009 ^ _97764) ^ [] : [related(_206961, _207047, _207128), -(in(ordered_pair(_207047, _207128), the_InternalRel(_206961)))], (7015 ^ _97764) ^ [] : [in(ordered_pair(_207047, _207128), the_InternalRel(_206961)), -(related(_206961, _207047, _207128))]]]]]]], (7021 ^ _97764) ^ [_207371] : [relation(_207371), 7024 ^ _97764 : [(7025 ^ _97764) ^ [] : [reflexive(_207371), -(is_reflexive_in(_207371, relation_field(_207371)))], (7031 ^ _97764) ^ [] : [is_reflexive_in(_207371, relation_field(_207371)), -(reflexive(_207371))]]], (7037 ^ _97764) ^ [_207573] : [rel_str(_207573), 7040 ^ _97764 : [(7041 ^ _97764) ^ [_207682, _207684] : [element(_207682, the_carrier(_207573)), ex_sup_of_relstr_set(_207573, _207684), 7048 ^ _97764 : [(7065 ^ _97764) ^ [] : [-(_207682 = join_on_relstr(_207573, _207684)), relstr_set_smaller(_207573, _207684, _207682), 7071 ^ _97764 : [(7072 ^ _97764) ^ [] : [-(element(7070 ^ [_207573, _207682, _207684], the_carrier(_207573)))], (7074 ^ _97764) ^ [] : [-(relstr_set_smaller(_207573, _207684, 7070 ^ [_207573, _207682, _207684]))], (7076 ^ _97764) ^ [] : [related(_207573, _207682, 7070 ^ [_207573, _207682, _207684])]]], (7049 ^ _97764) ^ [] : [_207682 = join_on_relstr(_207573, _207684), 7052 ^ _97764 : [(7053 ^ _97764) ^ [] : [-(relstr_set_smaller(_207573, _207684, _207682))], (7055 ^ _97764) ^ [_207909] : [element(_207909, the_carrier(_207573)), relstr_set_smaller(_207573, _207684, _207909), -(related(_207573, _207682, _207909))]]]]]]], (7080 ^ _97764) ^ [_208294, _208296] : [relation_of2(_208294, _208296, _208296), 7083 ^ _97764 : [(7084 ^ _97764) ^ [] : [-(strict_rel_str(rel_str_of(_208296, _208294)))], (7086 ^ _97764) ^ [] : [-(rel_str(rel_str_of(_208296, _208294)))]]], (7088 ^ _97764) ^ [_208407, _208409, _208411] : [7111 ^ _97764 : [(7112 ^ _97764) ^ [] : [-(strict_latt_str(latt_str_of(_208411, _208409, _208407)))], (7114 ^ _97764) ^ [] : [-(latt_str(latt_str_of(_208411, _208409, _208407)))]], function(_208409), quasi_total(_208409, cartesian_product2(_208411, _208411), _208411), relation_of2(_208409, cartesian_product2(_208411, _208411), _208411), function(_208407), quasi_total(_208407, cartesian_product2(_208411, _208411), _208411), relation_of2(_208407, cartesian_product2(_208411, _208411), _208411)], (7116 ^ _97764) ^ [_208822, _208824, _208826, _208828] : [-(element(k10_filter_1(_208828, _208826, _208824, _208822), the_carrier(k8_filter_1(_208828, _208826)))), -(empty_carrier(_208828)), lattice(_208828), latt_str(_208828), -(empty_carrier(_208826)), lattice(_208826), latt_str(_208826), element(_208824, the_carrier(_208828)), element(_208822, the_carrier(_208826))], (7150 ^ _97764) ^ [] : [true___, -(true___)], (7156 ^ _97764) ^ [_209376, _209378] : [-(element(join_of_latt_set(_209378, _209376), the_carrier(_209378))), -(empty_carrier(_209378)), latt_str(_209378)], (7166 ^ _97764) ^ [_209514, _209516] : [-(element(meet_of_latt_set(_209516, _209514), the_carrier(_209516))), -(empty_carrier(_209516)), latt_str(_209516)], (7176 ^ _97764) ^ [] : [true___, -(true___)], (7182 ^ _97764) ^ [_209711, _209713, _209715, _209717] : [-(element(ordered_pair_as_product_element(_209717, _209715, _209713, _209711), cartesian_product2(_209717, _209715))), -(empty(_209717)), -(empty(_209715)), element(_209713, _209717), element(_209711, _209715)], (7200 ^ _97764) ^ [] : [true___, -(true___)], (7206 ^ _97764) ^ [] : [true___, -(true___)], (7212 ^ _97764) ^ [_210094] : [-(strict_latt_str(boole_lattice(_210094)))], (7214 ^ _97764) ^ [_210115] : [-(latt_str(boole_lattice(_210115)))], (7216 ^ _97764) ^ [_210141, _210143, _210145] : [-(element(join(_210145, _210143, _210141), the_carrier(_210145))), -(empty_carrier(_210145)), join_semilatt_str(_210145), element(_210143, the_carrier(_210145)), element(_210141, the_carrier(_210145))], (7234 ^ _97764) ^ [] : [true___, -(true___)], (7240 ^ _97764) ^ [] : [true___, -(true___)], (7246 ^ _97764) ^ [_210519] : [-(element(k1_pcomps_1(_210519), powerset(powerset(_210519))))], (7248 ^ _97764) ^ [_210548] : [one_sorted_str(_210548), -(element(empty_carrier_subset(_210548), powerset(the_carrier(_210548))))], (7254 ^ _97764) ^ [] : [true___, -(true___)], (7260 ^ _97764) ^ [] : [true___, -(true___)], (7266 ^ _97764) ^ [] : [true___, -(true___)], (7272 ^ _97764) ^ [_210810, _210812] : [relation(_210812), -(relation_of2_as_subset(relation_restriction_as_relation_of(_210812, _210810), _210810, _210810))], (7278 ^ _97764) ^ [_210893, _210895] : [-(element(interior(_210895, _210893), powerset(the_carrier(_210895)))), top_str(_210895), element(_210893, powerset(the_carrier(_210895)))], (7288 ^ _97764) ^ [_211042, _211044, _211046, _211048] : [-(element(apply_on_structs(_211048, _211046, _211044, _211042), the_carrier(_211046))), -(empty_carrier(_211048)), one_sorted_str(_211048), -(empty_carrier(_211046)), one_sorted_str(_211046), function(_211044), quasi_total(_211044, the_carrier(_211048), the_carrier(_211046)), relation_of2(_211044, the_carrier(_211048), the_carrier(_211046)), element(_211042, the_carrier(_211048))], (7322 ^ _97764) ^ [] : [true___, -(true___)], (7328 ^ _97764) ^ [_211608] : [-(relation(inclusion_relation(_211608)))], (7330 ^ _97764) ^ [] : [true___, -(true___)], (7336 ^ _97764) ^ [_211691, _211693] : [rel_str(_211693), -(element(join_on_relstr(_211693, _211691), the_carrier(_211693)))], (7342 ^ _97764) ^ [_211774] : [-(reflexive(inclusion_order(_211774)))], (7344 ^ _97764) ^ [_211793] : [-(antisymmetric(inclusion_order(_211793)))], (7346 ^ _97764) ^ [_211812] : [-(transitive(inclusion_order(_211812)))], (7348 ^ _97764) ^ [_211831] : [-(v1_partfun1(inclusion_order(_211831), _211831, _211831))], (7350 ^ _97764) ^ [_211854] : [-(relation_of2_as_subset(inclusion_order(_211854), _211854, _211854))], (7352 ^ _97764) ^ [] : [true___, -(true___)], (7358 ^ _97764) ^ [_211947, _211949, _211951, _211953, _211955, _211957] : [-(element(apply_binary_as_element(_211957, _211955, _211953, _211951, _211949, _211947), _211953)), -(empty(_211957)), -(empty(_211955)), function(_211951), quasi_total(_211951, cartesian_product2(_211957, _211955), _211953), relation_of2(_211951, cartesian_product2(_211957, _211955), _211953), element(_211949, _211957), element(_211947, _211955)], (7388 ^ _97764) ^ [_212422] : [7395 ^ _97764 : [(7396 ^ _97764) ^ [] : [-(relation(function_inverse(_212422)))], (7398 ^ _97764) ^ [] : [-(function(function_inverse(_212422)))]], relation(_212422), function(_212422)], (7400 ^ _97764) ^ [_212573] : [7411 ^ _97764 : [(7412 ^ _97764) ^ [] : [-(reflexive(k2_lattice3(_212573)))], (7414 ^ _97764) ^ [] : [-(antisymmetric(k2_lattice3(_212573)))], (7416 ^ _97764) ^ [] : [-(transitive(k2_lattice3(_212573)))], (7418 ^ _97764) ^ [] : [-(v1_partfun1(k2_lattice3(_212573), the_carrier(_212573), the_carrier(_212573)))], (7420 ^ _97764) ^ [] : [-(relation_of2_as_subset(k2_lattice3(_212573), the_carrier(_212573), the_carrier(_212573)))]], -(empty_carrier(_212573)), lattice(_212573), latt_str(_212573)], (7422 ^ _97764) ^ [_212877, _212879, _212881] : [-(element(meet(_212881, _212879, _212877), the_carrier(_212881))), -(empty_carrier(_212881)), meet_semilatt_str(_212881), element(_212879, the_carrier(_212881)), element(_212877, the_carrier(_212881))], (7440 ^ _97764) ^ [] : [true___, -(true___)], (7446 ^ _97764) ^ [_213196] : [one_sorted_str(_213196), -(element(cast_as_carrier_subset(_213196), powerset(the_carrier(_213196))))], (7452 ^ _97764) ^ [] : [true___, -(true___)], (7458 ^ _97764) ^ [_213340, _213342, _213344] : [-(element(unordered_pair_as_carrier_subset(_213344, _213342, _213340), powerset(the_carrier(_213344)))), -(empty_carrier(_213344)), one_sorted_str(_213344), element(_213342, the_carrier(_213344)), element(_213340, the_carrier(_213344))], (7476 ^ _97764) ^ [_213604] : [-(element(cast_to_subset(_213604), powerset(_213604)))], (7478 ^ _97764) ^ [] : [true___, -(true___)], (7484 ^ _97764) ^ [_213690, _213692] : [relation(_213692), -(relation(relation_restriction(_213692, _213690)))], (7490 ^ _97764) ^ [] : [true___, -(true___)], (7496 ^ _97764) ^ [_213828, _213830] : [rel_str(_213830), -(element(meet_on_relstr(_213830, _213828), the_carrier(_213830)))], (7502 ^ _97764) ^ [_213911] : [-(strict_rel_str(incl_POSet(_213911)))], (7504 ^ _97764) ^ [_213932] : [-(rel_str(incl_POSet(_213932)))], (7506 ^ _97764) ^ [] : [true___, -(true___)], (7512 ^ _97764) ^ [_214017] : [7523 ^ _97764 : [(7524 ^ _97764) ^ [] : [-(strict_rel_str(poset_of_lattice(_214017)))], (7526 ^ _97764) ^ [] : [-(reflexive_relstr(poset_of_lattice(_214017)))], (7528 ^ _97764) ^ [] : [-(transitive_relstr(poset_of_lattice(_214017)))], (7530 ^ _97764) ^ [] : [-(antisymmetric_relstr(poset_of_lattice(_214017)))], (7532 ^ _97764) ^ [] : [-(rel_str(poset_of_lattice(_214017)))]], -(empty_carrier(_214017)), lattice(_214017), latt_str(_214017)], (7534 ^ _97764) ^ [_214297, _214299, _214301] : [-(element(join_commut(_214301, _214299, _214297), the_carrier(_214301))), -(empty_carrier(_214301)), join_commutative(_214301), join_semilatt_str(_214301), element(_214299, the_carrier(_214301)), element(_214297, the_carrier(_214301))], (7556 ^ _97764) ^ [] : [true___, -(true___)], (7562 ^ _97764) ^ [_214668, _214670] : [element(_214668, powerset(_214670)), -(element(subset_complement(_214670, _214668), powerset(_214670)))], (7568 ^ _97764) ^ [] : [true___, -(true___)], (7574 ^ _97764) ^ [_214818, _214820, _214822] : [-(element(apply_netmap(_214822, _214820, _214818), the_carrier(_214822))), -(empty_carrier(_214822)), one_sorted_str(_214822), -(empty_carrier(_214820)), net_str(_214820, _214822), element(_214818, the_carrier(_214820))], (7596 ^ _97764) ^ [] : [true___, -(true___)], (7602 ^ _97764) ^ [_215188] : [rel_str(_215188), -(element(bottom_of_relstr(_215188), the_carrier(_215188)))], (7608 ^ _97764) ^ [_215267] : [-(strict_rel_str(boole_POSet(_215267)))], (7610 ^ _97764) ^ [_215288] : [-(rel_str(boole_POSet(_215288)))], (7612 ^ _97764) ^ [_215314, _215316] : [-(element(cast_to_el_of_LattPOSet(_215316, _215314), the_carrier(poset_of_lattice(_215316)))), -(empty_carrier(_215316)), lattice(_215316), latt_str(_215316), element(_215314, the_carrier(_215316))], (7630 ^ _97764) ^ [_215562, _215564, _215566] : [-(element(meet_commut(_215566, _215564, _215562), the_carrier(_215566))), -(empty_carrier(_215566)), meet_commutative(_215566), meet_semilatt_str(_215566), element(_215564, the_carrier(_215566)), element(_215562, the_carrier(_215566))], (7652 ^ _97764) ^ [_215874] : [relation(_215874), -(relation(relation_inverse(_215874)))], (7658 ^ _97764) ^ [_215949, _215951, _215953] : [relation_of2(_215949, _215953, _215951), -(element(relation_dom_as_subset(_215953, _215951, _215949), powerset(_215953)))], (7664 ^ _97764) ^ [_216042, _216044, _216046] : [-(element(subset_union2(_216046, _216044, _216042), powerset(_216046))), element(_216044, powerset(_216046)), element(_216042, powerset(_216046))], (7674 ^ _97764) ^ [] : [true___, -(true___)], (7680 ^ _97764) ^ [] : [true___, -(true___)], (7686 ^ _97764) ^ [_216313, _216315] : [-(element(cast_to_el_of_lattice(_216315, _216313), the_carrier(_216315))), -(empty_carrier(_216315)), lattice(_216315), latt_str(_216315), element(_216313, the_carrier(poset_of_lattice(_216315)))], (7704 ^ _97764) ^ [_216561] : [-(element(bottom_of_semilattstr(_216561), the_carrier(_216561))), -(empty_carrier(_216561)), meet_semilatt_str(_216561)], (7714 ^ _97764) ^ [] : [true___, -(true___)], (7720 ^ _97764) ^ [_216752, _216754] : [-(relation(relation_composition(_216754, _216752))), relation(_216754), relation(_216752)], (7730 ^ _97764) ^ [_216881, _216883, _216885] : [relation_of2(_216881, _216885, _216883), -(element(relation_rng_as_subset(_216885, _216883, _216881), powerset(_216883)))], (7736 ^ _97764) ^ [_216974, _216976] : [element(_216974, powerset(powerset(_216976))), -(element(union_of_subsets(_216976, _216974), powerset(_216976)))], (7742 ^ _97764) ^ [_217069, _217071, _217073] : [-(element(subset_intersection2(_217073, _217071, _217069), powerset(_217073))), element(_217071, powerset(_217073)), element(_217069, powerset(_217073))], (7752 ^ _97764) ^ [_217220] : [-(v1_partfun1(identity_as_relation_of(_217220), _217220, _217220))], (7754 ^ _97764) ^ [_217243] : [-(relation_of2_as_subset(identity_as_relation_of(_217243), _217243, _217243))], (7756 ^ _97764) ^ [_217271, _217273] : [-(element(topstr_closure(_217273, _217271), powerset(the_carrier(_217273)))), top_str(_217273), element(_217271, powerset(the_carrier(_217273)))], (7766 ^ _97764) ^ [_217420] : [-(relation(identity_relation(_217420)))], (7768 ^ _97764) ^ [_217444, _217446] : [element(_217444, powerset(powerset(_217446))), -(element(meet_of_subsets(_217446, _217444), powerset(_217446)))], (7774 ^ _97764) ^ [_217539, _217541, _217543] : [-(element(subset_difference(_217543, _217541, _217539), powerset(_217543))), element(_217541, powerset(_217543)), element(_217539, powerset(_217543))], (7784 ^ _97764) ^ [_217692] : [one_sorted_str(_217692), 7787 ^ _97764 : [(7788 ^ _97764) ^ [] : [-(function(identity_on_carrier(_217692)))], (7790 ^ _97764) ^ [] : [-(quasi_total(identity_on_carrier(_217692), the_carrier(_217692), the_carrier(_217692)))], (7792 ^ _97764) ^ [] : [-(relation_of2_as_subset(identity_on_carrier(_217692), the_carrier(_217692), the_carrier(_217692)))]]], (7794 ^ _97764) ^ [_217845, _217847] : [relation(_217847), -(relation(relation_dom_restriction(_217847, _217845)))], (7800 ^ _97764) ^ [_217924, _217926] : [element(_217924, powerset(powerset(_217926))), -(element(complements_of_subsets(_217926, _217924), powerset(powerset(_217926))))], (7806 ^ _97764) ^ [_218023, _218025] : [7821 ^ _97764 : [(7822 ^ _97764) ^ [] : [-(strict_latt_str(k8_filter_1(_218025, _218023)))], (7824 ^ _97764) ^ [] : [-(latt_str(k8_filter_1(_218025, _218023)))]], -(empty_carrier(_218025)), latt_str(_218025), -(empty_carrier(_218023)), latt_str(_218023)], (7826 ^ _97764) ^ [_218288, _218290, _218292, _218294] : [-(element(apply_as_element(_218294, _218292, _218290, _218288), _218292)), -(empty(_218294)), function(_218290), quasi_total(_218290, _218294, _218292), relation_of2(_218290, _218294, _218292), element(_218288, _218294)], (7848 ^ _97764) ^ [_218606, _218608] : [relation(_218606), -(relation(relation_rng_restriction(_218608, _218606)))], (7854 ^ _97764) ^ [_218685, _218687, _218689, _218691] : [relation_of2(_218687, _218691, _218689), -(relation_of2_as_subset(relation_dom_restr_as_relation_of(_218691, _218689, _218687, _218685), _218691, _218689))], (7860 ^ _97764) ^ [_218780] : [-(relation(relation_of_lattice(_218780))), -(empty_carrier(_218780)), lattice(_218780), latt_str(_218780)], (7874 ^ _97764) ^ [] : [true___, -(true___)], (7880 ^ _97764) ^ [_219013] : [meet_semilatt_str(_219013), -(one_sorted_str(_219013))], (7886 ^ _97764) ^ [_219084] : [rel_str(_219084), -(one_sorted_str(_219084))], (7892 ^ _97764) ^ [_219155] : [top_str(_219155), -(one_sorted_str(_219155))], (7898 ^ _97764) ^ [] : [true___, -(true___)], (7904 ^ _97764) ^ [_219285] : [one_sorted_str(_219285), 7907 ^ _97764 : [(7908 ^ _97764) ^ [_219343] : [net_str(_219343, _219285), -(rel_str(_219343))]]], (7914 ^ _97764) ^ [_219422] : [join_semilatt_str(_219422), -(one_sorted_str(_219422))], (7920 ^ _97764) ^ [_219493] : [latt_str(_219493), 7923 ^ _97764 : [(7924 ^ _97764) ^ [] : [-(meet_semilatt_str(_219493))], (7926 ^ _97764) ^ [] : [-(join_semilatt_str(_219493))]]], (7928 ^ _97764) ^ [_219588, _219590] : [7943 ^ _97764 : [(7944 ^ _97764) ^ [_219813] : [point_neighbourhood(_219813, _219590, _219588), -(element(_219813, powerset(the_carrier(_219590))))]], -(empty_carrier(_219590)), topological_space(_219590), top_str(_219590), element(_219588, the_carrier(_219590))], (7950 ^ _97764) ^ [] : [true___, -(true___)], (7956 ^ _97764) ^ [] : [true___, -(true___)], (7962 ^ _97764) ^ [_220024] : [rel_str(_220024), 7965 ^ _97764 : [(7966 ^ _97764) ^ [_220082] : [subrelstr(_220082, _220024), -(rel_str(_220082))]]], (7972 ^ _97764) ^ [_220161, _220163] : [one_sorted_str(_220163), net_str(_220161, _220163), 7979 ^ _97764 : [(7980 ^ _97764) ^ [_220275] : [subnetstr(_220275, _220163, _220161), -(net_str(_220275, _220163))]]], (7986 ^ _97764) ^ [_220362, _220364, _220366] : [relation_of2_as_subset(_220362, _220366, _220364), -(element(_220362, powerset(cartesian_product2(_220366, _220364))))], (7992 ^ _97764) ^ [_220453] : [meet_semilatt_str(_220453), 7995 ^ _97764 : [(7996 ^ _97764) ^ [] : [-(function(the_L_meet(_220453)))], (7998 ^ _97764) ^ [] : [-(quasi_total(the_L_meet(_220453), cartesian_product2(the_carrier(_220453), the_carrier(_220453)), the_carrier(_220453)))], (8000 ^ _97764) ^ [] : [-(relation_of2_as_subset(the_L_meet(_220453), cartesian_product2(the_carrier(_220453), the_carrier(_220453)), the_carrier(_220453)))]]], (8002 ^ _97764) ^ [_220626] : [rel_str(_220626), -(relation_of2_as_subset(the_InternalRel(_220626), the_carrier(_220626), the_carrier(_220626)))], (8008 ^ _97764) ^ [_220713] : [top_str(_220713), -(element(the_topology(_220713), powerset(powerset(the_carrier(_220713)))))], (8014 ^ _97764) ^ [] : [true___, -(true___)], (8020 ^ _97764) ^ [_220861, _220863] : [8027 ^ _97764 : [(8028 ^ _97764) ^ [] : [-(function(the_mapping(_220863, _220861)))], (8030 ^ _97764) ^ [] : [-(quasi_total(the_mapping(_220863, _220861), the_carrier(_220861), the_carrier(_220863)))], (8032 ^ _97764) ^ [] : [-(relation_of2_as_subset(the_mapping(_220863, _220861), the_carrier(_220861), the_carrier(_220863)))]], one_sorted_str(_220863), net_str(_220861, _220863)], (8034 ^ _97764) ^ [_221074] : [join_semilatt_str(_221074), 8037 ^ _97764 : [(8038 ^ _97764) ^ [] : [-(function(the_L_join(_221074)))], (8040 ^ _97764) ^ [] : [-(quasi_total(the_L_join(_221074), cartesian_product2(the_carrier(_221074), the_carrier(_221074)), the_carrier(_221074)))], (8042 ^ _97764) ^ [] : [-(relation_of2_as_subset(the_L_join(_221074), cartesian_product2(the_carrier(_221074), the_carrier(_221074)), the_carrier(_221074)))]]], (8045 ^ _97764) ^ [] : [-(meet_semilatt_str(8043 ^ []))], (8048 ^ _97764) ^ [] : [-(rel_str(8046 ^ []))], (8051 ^ _97764) ^ [] : [-(top_str(8049 ^ []))], (8054 ^ _97764) ^ [] : [-(one_sorted_str(8052 ^ []))], (8056 ^ _97764) ^ [_221343] : [one_sorted_str(_221343), -(net_str(8059 ^ [_221343], _221343))], (8064 ^ _97764) ^ [] : [-(join_semilatt_str(8062 ^ []))], (8067 ^ _97764) ^ [] : [-(latt_str(8065 ^ []))], (8069 ^ _97764) ^ [_221474, _221476] : [-(point_neighbourhood(8084 ^ [_221474, _221476], _221476, _221474)), -(empty_carrier(_221476)), topological_space(_221476), top_str(_221476), element(_221474, the_carrier(_221476))], (8089 ^ _97764) ^ [_221722, _221724] : [-(relation_of2(8087 ^ [_221722, _221724], _221724, _221722))], (8092 ^ _97764) ^ [_221755] : [-(element(8090 ^ [_221755], _221755))], (8094 ^ _97764) ^ [_221783] : [rel_str(_221783), -(subrelstr(8097 ^ [_221783], _221783))], (8101 ^ _97764) ^ [_221866, _221868] : [-(subnetstr(8108 ^ [_221866, _221868], _221868, _221866)), one_sorted_str(_221868), net_str(_221866, _221868)], (8113 ^ _97764) ^ [_222007, _222009] : [-(relation_of2_as_subset(8111 ^ [_222007, _222009], _222009, _222007))], (8115 ^ _97764) ^ [_222040, _222042] : [finite(_222040), -(finite(set_intersection2(_222042, _222040)))], (8121 ^ _97764) ^ [_222119, _222121] : [8128 ^ _97764 : [(8129 ^ _97764) ^ [] : [-(empty(relation_composition(_222119, _222121)))], (8131 ^ _97764) ^ [] : [-(relation(relation_composition(_222119, _222121)))]], empty(_222121), relation(_222119)], (8133 ^ _97764) ^ [_222278, _222280] : [finite(_222280), -(finite(set_intersection2(_222280, _222278)))], (8139 ^ _97764) ^ [_222357] : [empty(_222357), 8142 ^ _97764 : [(8143 ^ _97764) ^ [] : [-(empty(relation_inverse(_222357)))], (8145 ^ _97764) ^ [] : [-(relation(relation_inverse(_222357)))]]], (8147 ^ _97764) ^ [_222460, _222462] : [finite(_222462), -(finite(set_difference(_222462, _222460)))], (8153 ^ _97764) ^ [] : [-(empty(empty_set))], (8155 ^ _97764) ^ [] : [-(relation(empty_set))], (8157 ^ _97764) ^ [] : [-(relation_empty_yielding(empty_set))], (8159 ^ _97764) ^ [_222587, _222589] : [-(finite(relation_image(_222589, _222587))), relation(_222589), function(_222589), finite(_222587)], (8173 ^ _97764) ^ [_222766, _222768] : [8180 ^ _97764 : [(8181 ^ _97764) ^ [] : [-(relation(relation_dom_restriction(_222768, _222766)))], (8183 ^ _97764) ^ [] : [-(relation_empty_yielding(relation_dom_restriction(_222768, _222766)))]], relation(_222768), relation_empty_yielding(_222768)], (8185 ^ _97764) ^ [_222925, _222927] : [-(finite(cartesian_product2(_222927, _222925))), finite(_222927), finite(_222925)], (8195 ^ _97764) ^ [_223064] : [empty(singleton(_223064))], (8197 ^ _97764) ^ [_223086] : [-(finite(singleton(_223086)))], (8199 ^ _97764) ^ [_223122] : [empty(powerset(_223122))], (8201 ^ _97764) ^ [_223142] : [-(cup_closed(powerset(_223142)))], (8203 ^ _97764) ^ [_223161] : [-(diff_closed(powerset(_223161)))], (8205 ^ _97764) ^ [_223182] : [-(preboolean(powerset(_223182)))], (8207 ^ _97764) ^ [_223212, _223214] : [8222 ^ _97764 : [(8223 ^ _97764) ^ [] : [-(relation(relation_composition(_223214, _223212)))], (8225 ^ _97764) ^ [] : [-(function(relation_composition(_223214, _223212)))]], relation(_223214), function(_223214), relation(_223212), function(_223212)], (8227 ^ _97764) ^ [_223481] : [empty_carrier(boole_lattice(_223481))], (8229 ^ _97764) ^ [_223501] : [-(strict_latt_str(boole_lattice(_223501)))], (8231 ^ _97764) ^ [_223520] : [-(join_commutative(boole_lattice(_223520)))], (8233 ^ _97764) ^ [_223539] : [-(join_associative(boole_lattice(_223539)))], (8235 ^ _97764) ^ [_223558] : [-(meet_commutative(boole_lattice(_223558)))], (8237 ^ _97764) ^ [_223577] : [-(meet_associative(boole_lattice(_223577)))], (8239 ^ _97764) ^ [_223596] : [-(meet_absorbing(boole_lattice(_223596)))], (8241 ^ _97764) ^ [_223615] : [-(join_absorbing(boole_lattice(_223615)))], (8243 ^ _97764) ^ [_223634] : [-(lattice(boole_lattice(_223634)))], (8245 ^ _97764) ^ [_223653] : [-(distributive_lattstr(boole_lattice(_223653)))], (8247 ^ _97764) ^ [_223672] : [-(modular_lattstr(boole_lattice(_223672)))], (8249 ^ _97764) ^ [_223691] : [-(lower_bounded_semilattstr(boole_lattice(_223691)))], (8251 ^ _97764) ^ [_223710] : [-(upper_bounded_semilattstr(boole_lattice(_223710)))], (8253 ^ _97764) ^ [_223729] : [-(bounded_lattstr(boole_lattice(_223729)))], (8255 ^ _97764) ^ [_223748] : [-(complemented_lattstr(boole_lattice(_223748)))], (8257 ^ _97764) ^ [_223767] : [-(boolean_lattstr(boole_lattice(_223767)))], (8259 ^ _97764) ^ [_223788] : [-(complete_latt_str(boole_lattice(_223788)))], (8261 ^ _97764) ^ [_223854] : [empty_carrier(boole_lattice(_223854))], (8263 ^ _97764) ^ [_223876] : [-(strict_latt_str(boole_lattice(_223876)))], (8265 ^ _97764) ^ [_223902, _223904] : [8272 ^ _97764 : [(8273 ^ _97764) ^ [] : [empty_carrier(rel_str_of(_223904, _223902))], (8275 ^ _97764) ^ [] : [-(strict_rel_str(rel_str_of(_223904, _223902)))]], -(empty(_223904)), relation_of2(_223902, _223904, _223904)], (8277 ^ _97764) ^ [_224087] : [empty(succ(_224087))], (8279 ^ _97764) ^ [] : [-(epsilon_transitive(omega))], (8281 ^ _97764) ^ [] : [-(epsilon_connected(omega))], (8283 ^ _97764) ^ [] : [-(ordinal(omega))], (8285 ^ _97764) ^ [] : [empty(omega)], (8287 ^ _97764) ^ [_224192] : [one_sorted_str(_224192), 8290 ^ _97764 : [(8291 ^ _97764) ^ [] : [-(empty(empty_carrier_subset(_224192)))], (8293 ^ _97764) ^ [] : [-(v1_membered(empty_carrier_subset(_224192)))], (8295 ^ _97764) ^ [] : [-(v2_membered(empty_carrier_subset(_224192)))], (8297 ^ _97764) ^ [] : [-(v3_membered(empty_carrier_subset(_224192)))], (8299 ^ _97764) ^ [] : [-(v4_membered(empty_carrier_subset(_224192)))], (8301 ^ _97764) ^ [] : [-(v5_membered(empty_carrier_subset(_224192)))]]], (8303 ^ _97764) ^ [_224399, _224401] : [-(relation(set_intersection2(_224401, _224399))), relation(_224401), relation(_224399)], (8313 ^ _97764) ^ [_224528] : [empty(the_carrier(_224528)), -(empty_carrier(_224528)), one_sorted_str(_224528)], (8323 ^ _97764) ^ [_224664] : [empty(powerset(_224664))], (8325 ^ _97764) ^ [] : [-(empty(empty_set))], (8327 ^ _97764) ^ [_224706, _224708] : [relation_of2(_224706, singleton(_224708), singleton(_224708)), 8330 ^ _97764 : [(8331 ^ _97764) ^ [] : [empty_carrier(rel_str_of(singleton(_224708), _224706))], (8333 ^ _97764) ^ [] : [-(strict_rel_str(rel_str_of(singleton(_224708), _224706)))], (8335 ^ _97764) ^ [] : [-(trivial_carrier(rel_str_of(singleton(_224708), _224706)))]]], (8337 ^ _97764) ^ [_224877] : [8348 ^ _97764 : [(8349 ^ _97764) ^ [] : [empty_carrier(poset_of_lattice(_224877))], (8351 ^ _97764) ^ [] : [-(strict_rel_str(poset_of_lattice(_224877)))], (8353 ^ _97764) ^ [] : [-(reflexive_relstr(poset_of_lattice(_224877)))], (8355 ^ _97764) ^ [] : [-(transitive_relstr(poset_of_lattice(_224877)))], (8357 ^ _97764) ^ [] : [-(antisymmetric_relstr(poset_of_lattice(_224877)))], (8359 ^ _97764) ^ [] : [-(with_suprema_relstr(poset_of_lattice(_224877)))], (8361 ^ _97764) ^ [] : [-(with_infima_relstr(poset_of_lattice(_224877)))]], -(empty_carrier(_224877)), lattice(_224877), latt_str(_224877)], (8363 ^ _97764) ^ [_225231, _225233] : [empty(ordered_pair(_225233, _225231))], (8365 ^ _97764) ^ [_225258, _225260] : [v1_membered(_225260), -(v1_membered(set_intersection2(_225260, _225258)))], (8371 ^ _97764) ^ [_225337, _225339] : [v1_membered(_225339), -(v1_membered(set_intersection2(_225337, _225339)))], (8377 ^ _97764) ^ [_225416, _225418] : [v2_membered(_225418), 8380 ^ _97764 : [(8381 ^ _97764) ^ [] : [-(v1_membered(set_intersection2(_225418, _225416)))], (8383 ^ _97764) ^ [] : [-(v2_membered(set_intersection2(_225418, _225416)))]]], (8385 ^ _97764) ^ [_225525] : [8392 ^ _97764 : [(8393 ^ _97764) ^ [] : [empty(succ(_225525))], (8395 ^ _97764) ^ [] : [-(epsilon_transitive(succ(_225525)))], (8397 ^ _97764) ^ [] : [-(epsilon_connected(succ(_225525)))], (8399 ^ _97764) ^ [] : [-(ordinal(succ(_225525)))], (8401 ^ _97764) ^ [] : [-(natural(succ(_225525)))]], ordinal(_225525), natural(_225525)], (8403 ^ _97764) ^ [_225777, _225779] : [empty(unordered_pair(_225779, _225777))], (8405 ^ _97764) ^ [_225802, _225804] : [-(finite(unordered_pair(_225804, _225802)))], (8407 ^ _97764) ^ [_225829] : [-(relation(identity_relation(_225829)))], (8409 ^ _97764) ^ [_225850] : [-(function(identity_relation(_225850)))], (8411 ^ _97764) ^ [_225876] : [8422 ^ _97764 : [(8423 ^ _97764) ^ [] : [-(relation(the_L_join(_225876)))], (8425 ^ _97764) ^ [] : [-(function(the_L_join(_225876)))], (8427 ^ _97764) ^ [] : [-(quasi_total(the_L_join(_225876), cartesian_product2(the_carrier(_225876), the_carrier(_225876)), the_carrier(_225876)))], (8429 ^ _97764) ^ [] : [-(v1_binop_1(the_L_join(_225876), the_carrier(_225876)))], (8431 ^ _97764) ^ [] : [-(v1_partfun1(the_L_join(_225876), cartesian_product2(the_carrier(_225876), the_carrier(_225876)), the_carrier(_225876)))]], -(empty_carrier(_225876)), join_commutative(_225876), join_semilatt_str(_225876)], (8433 ^ _97764) ^ [_226216] : [empty_carrier(boole_lattice(_226216))], (8435 ^ _97764) ^ [_226236] : [-(strict_latt_str(boole_lattice(_226236)))], (8437 ^ _97764) ^ [_226255] : [-(join_commutative(boole_lattice(_226255)))], (8439 ^ _97764) ^ [_226274] : [-(join_associative(boole_lattice(_226274)))], (8441 ^ _97764) ^ [_226293] : [-(meet_commutative(boole_lattice(_226293)))], (8443 ^ _97764) ^ [_226312] : [-(meet_associative(boole_lattice(_226312)))], (8445 ^ _97764) ^ [_226331] : [-(meet_absorbing(boole_lattice(_226331)))], (8447 ^ _97764) ^ [_226350] : [-(join_absorbing(boole_lattice(_226350)))], (8449 ^ _97764) ^ [_226371] : [-(lattice(boole_lattice(_226371)))], (8451 ^ _97764) ^ [_226411] : [8466 ^ _97764 : [(8467 ^ _97764) ^ [] : [-(relation(the_InternalRel(_226411)))], (8469 ^ _97764) ^ [] : [-(reflexive(the_InternalRel(_226411)))], (8471 ^ _97764) ^ [] : [-(antisymmetric(the_InternalRel(_226411)))], (8473 ^ _97764) ^ [] : [-(transitive(the_InternalRel(_226411)))], (8475 ^ _97764) ^ [] : [-(v1_partfun1(the_InternalRel(_226411), the_carrier(_226411), the_carrier(_226411)))]], reflexive_relstr(_226411), transitive_relstr(_226411), antisymmetric_relstr(_226411), rel_str(_226411)], (8477 ^ _97764) ^ [] : [-(relation(empty_set))], (8479 ^ _97764) ^ [] : [-(relation_empty_yielding(empty_set))], (8481 ^ _97764) ^ [] : [-(function(empty_set))], (8483 ^ _97764) ^ [] : [-(one_to_one(empty_set))], (8485 ^ _97764) ^ [] : [-(empty(empty_set))], (8487 ^ _97764) ^ [] : [-(epsilon_transitive(empty_set))], (8489 ^ _97764) ^ [] : [-(epsilon_connected(empty_set))], (8491 ^ _97764) ^ [] : [-(ordinal(empty_set))], (8493 ^ _97764) ^ [_226869] : [-(relation(identity_relation(_226869)))], (8495 ^ _97764) ^ [_226888] : [-(function(identity_relation(_226888)))], (8497 ^ _97764) ^ [_226907] : [-(reflexive(identity_relation(_226907)))], (8499 ^ _97764) ^ [_226926] : [-(symmetric(identity_relation(_226926)))], (8501 ^ _97764) ^ [_226945] : [-(antisymmetric(identity_relation(_226945)))], (8503 ^ _97764) ^ [_226966] : [-(transitive(identity_relation(_226966)))], (8505 ^ _97764) ^ [_227000] : [empty(cast_as_carrier_subset(_227000)), -(empty_carrier(_227000)), one_sorted_str(_227000)], (8515 ^ _97764) ^ [_227127, _227129] : [-(relation(set_union2(_227129, _227127))), relation(_227129), relation(_227127)], (8525 ^ _97764) ^ [_227265] : [empty(singleton(_227265))], (8527 ^ _97764) ^ [_227289, _227291] : [-(closed_subset(topstr_closure(_227291, _227289), _227291)), topological_space(_227291), top_str(_227291), element(_227289, powerset(the_carrier(_227291)))], (8541 ^ _97764) ^ [_227479, _227481] : [-(empty(_227481)), empty(set_union2(_227481, _227479))], (8547 ^ _97764) ^ [_227558] : [8562 ^ _97764 : [(8563 ^ _97764) ^ [] : [empty_carrier(poset_of_lattice(_227558))], (8565 ^ _97764) ^ [] : [-(strict_rel_str(poset_of_lattice(_227558)))], (8567 ^ _97764) ^ [] : [-(reflexive_relstr(poset_of_lattice(_227558)))], (8569 ^ _97764) ^ [] : [-(transitive_relstr(poset_of_lattice(_227558)))], (8571 ^ _97764) ^ [] : [-(antisymmetric_relstr(poset_of_lattice(_227558)))], (8573 ^ _97764) ^ [] : [-(upper_bounded_relstr(poset_of_lattice(_227558)))], (8575 ^ _97764) ^ [] : [-(with_suprema_relstr(poset_of_lattice(_227558)))], (8577 ^ _97764) ^ [] : [-(with_infima_relstr(poset_of_lattice(_227558)))]], -(empty_carrier(_227558)), lattice(_227558), upper_bounded_semilattstr(_227558), latt_str(_227558)], (8579 ^ _97764) ^ [_227974, _227976] : [v2_membered(_227976), 8582 ^ _97764 : [(8583 ^ _97764) ^ [] : [-(v1_membered(set_intersection2(_227974, _227976)))], (8585 ^ _97764) ^ [] : [-(v2_membered(set_intersection2(_227974, _227976)))]]], (8587 ^ _97764) ^ [_228083, _228085] : [v3_membered(_228085), 8590 ^ _97764 : [(8591 ^ _97764) ^ [] : [-(v1_membered(set_intersection2(_228085, _228083)))], (8593 ^ _97764) ^ [] : [-(v2_membered(set_intersection2(_228085, _228083)))], (8595 ^ _97764) ^ [] : [-(v3_membered(set_intersection2(_228085, _228083)))]]], (8597 ^ _97764) ^ [_228220, _228222] : [v3_membered(_228222), 8600 ^ _97764 : [(8601 ^ _97764) ^ [] : [-(v1_membered(set_intersection2(_228220, _228222)))], (8603 ^ _97764) ^ [] : [-(v2_membered(set_intersection2(_228220, _228222)))], (8605 ^ _97764) ^ [] : [-(v3_membered(set_intersection2(_228220, _228222)))]]], (8607 ^ _97764) ^ [_228357, _228359] : [v4_membered(_228359), 8610 ^ _97764 : [(8611 ^ _97764) ^ [] : [-(v1_membered(set_intersection2(_228359, _228357)))], (8613 ^ _97764) ^ [] : [-(v2_membered(set_intersection2(_228359, _228357)))], (8615 ^ _97764) ^ [] : [-(v3_membered(set_intersection2(_228359, _228357)))], (8617 ^ _97764) ^ [] : [-(v4_membered(set_intersection2(_228359, _228357)))]]], (8619 ^ _97764) ^ [_228522, _228524] : [v4_membered(_228524), 8622 ^ _97764 : [(8623 ^ _97764) ^ [] : [-(v1_membered(set_intersection2(_228522, _228524)))], (8625 ^ _97764) ^ [] : [-(v2_membered(set_intersection2(_228522, _228524)))], (8627 ^ _97764) ^ [] : [-(v3_membered(set_intersection2(_228522, _228524)))], (8629 ^ _97764) ^ [] : [-(v4_membered(set_intersection2(_228522, _228524)))]]], (8631 ^ _97764) ^ [_228687, _228689] : [v5_membered(_228689), 8634 ^ _97764 : [(8635 ^ _97764) ^ [] : [-(v1_membered(set_intersection2(_228689, _228687)))], (8637 ^ _97764) ^ [] : [-(v2_membered(set_intersection2(_228689, _228687)))], (8639 ^ _97764) ^ [] : [-(v3_membered(set_intersection2(_228689, _228687)))], (8641 ^ _97764) ^ [] : [-(v4_membered(set_intersection2(_228689, _228687)))], (8643 ^ _97764) ^ [] : [-(v5_membered(set_intersection2(_228689, _228687)))]]], (8645 ^ _97764) ^ [_228880, _228882] : [v5_membered(_228882), 8648 ^ _97764 : [(8649 ^ _97764) ^ [] : [-(v1_membered(set_intersection2(_228880, _228882)))], (8651 ^ _97764) ^ [] : [-(v2_membered(set_intersection2(_228880, _228882)))], (8653 ^ _97764) ^ [] : [-(v3_membered(set_intersection2(_228880, _228882)))], (8655 ^ _97764) ^ [] : [-(v4_membered(set_intersection2(_228880, _228882)))], (8657 ^ _97764) ^ [] : [-(v5_membered(set_intersection2(_228880, _228882)))]]], (8659 ^ _97764) ^ [_229073, _229075] : [v1_membered(_229075), -(v1_membered(set_difference(_229075, _229073)))], (8665 ^ _97764) ^ [_229152, _229154] : [v2_membered(_229154), 8668 ^ _97764 : [(8669 ^ _97764) ^ [] : [-(v1_membered(set_difference(_229154, _229152)))], (8671 ^ _97764) ^ [] : [-(v2_membered(set_difference(_229154, _229152)))]]], (8673 ^ _97764) ^ [_229261, _229263] : [v3_membered(_229263), 8676 ^ _97764 : [(8677 ^ _97764) ^ [] : [-(v1_membered(set_difference(_229263, _229261)))], (8679 ^ _97764) ^ [] : [-(v2_membered(set_difference(_229263, _229261)))], (8681 ^ _97764) ^ [] : [-(v3_membered(set_difference(_229263, _229261)))]]], (8683 ^ _97764) ^ [_229398] : [8694 ^ _97764 : [(8695 ^ _97764) ^ [] : [-(relation(relation_inverse(_229398)))], (8697 ^ _97764) ^ [] : [-(function(relation_inverse(_229398)))]], relation(_229398), function(_229398), one_to_one(_229398)], (8699 ^ _97764) ^ [_229597] : [8710 ^ _97764 : [(8711 ^ _97764) ^ [] : [-(relation(the_L_join(_229597)))], (8713 ^ _97764) ^ [] : [-(function(the_L_join(_229597)))], (8715 ^ _97764) ^ [] : [-(quasi_total(the_L_join(_229597), cartesian_product2(the_carrier(_229597), the_carrier(_229597)), the_carrier(_229597)))], (8717 ^ _97764) ^ [] : [-(v2_binop_1(the_L_join(_229597), the_carrier(_229597)))], (8719 ^ _97764) ^ [] : [-(v1_partfun1(the_L_join(_229597), cartesian_product2(the_carrier(_229597), the_carrier(_229597)), the_carrier(_229597)))]], -(empty_carrier(_229597)), join_associative(_229597), join_semilatt_str(_229597)], (8721 ^ _97764) ^ [_229937] : [empty_carrier(boole_lattice(_229937))], (8723 ^ _97764) ^ [_229957] : [-(strict_latt_str(boole_lattice(_229957)))], (8725 ^ _97764) ^ [_229976] : [-(join_commutative(boole_lattice(_229976)))], (8727 ^ _97764) ^ [_229995] : [-(join_associative(boole_lattice(_229995)))], (8729 ^ _97764) ^ [_230014] : [-(meet_commutative(boole_lattice(_230014)))], (8731 ^ _97764) ^ [_230033] : [-(meet_associative(boole_lattice(_230033)))], (8733 ^ _97764) ^ [_230052] : [-(meet_absorbing(boole_lattice(_230052)))], (8735 ^ _97764) ^ [_230071] : [-(join_absorbing(boole_lattice(_230071)))], (8737 ^ _97764) ^ [_230090] : [-(lattice(boole_lattice(_230090)))], (8739 ^ _97764) ^ [_230109] : [-(distributive_lattstr(boole_lattice(_230109)))], (8741 ^ _97764) ^ [_230128] : [-(modular_lattstr(boole_lattice(_230128)))], (8743 ^ _97764) ^ [_230147] : [-(lower_bounded_semilattstr(boole_lattice(_230147)))], (8745 ^ _97764) ^ [_230166] : [-(upper_bounded_semilattstr(boole_lattice(_230166)))], (8747 ^ _97764) ^ [_230185] : [-(bounded_lattstr(boole_lattice(_230185)))], (8749 ^ _97764) ^ [_230204] : [-(complemented_lattstr(boole_lattice(_230204)))], (8751 ^ _97764) ^ [_230225] : [-(boolean_lattstr(boole_lattice(_230225)))], (8753 ^ _97764) ^ [_230279, _230281, _230283] : [8780 ^ _97764 : [(8781 ^ _97764) ^ [] : [empty_carrier(latt_str_of(_230283, _230281, _230279))], (8783 ^ _97764) ^ [] : [-(strict_latt_str(latt_str_of(_230283, _230281, _230279)))]], -(empty(_230283)), function(_230281), quasi_total(_230281, cartesian_product2(_230283, _230283), _230283), relation_of2(_230281, cartesian_product2(_230283, _230283), _230283), function(_230279), quasi_total(_230279, cartesian_product2(_230283, _230283), _230283), relation_of2(_230279, cartesian_product2(_230283, _230283), _230283)], (8785 ^ _97764) ^ [_230759, _230761] : [8804 ^ _97764 : [(8805 ^ _97764) ^ [] : [-(strict_rel_str(rel_str_of(_230761, _230759)))], (8807 ^ _97764) ^ [] : [-(reflexive_relstr(rel_str_of(_230761, _230759)))], (8809 ^ _97764) ^ [] : [-(transitive_relstr(rel_str_of(_230761, _230759)))], (8811 ^ _97764) ^ [] : [-(antisymmetric_relstr(rel_str_of(_230761, _230759)))]], reflexive(_230759), antisymmetric(_230759), transitive(_230759), v1_partfun1(_230759, _230761, _230761), relation_of2(_230759, _230761, _230761)], (8813 ^ _97764) ^ [_231132] : [ordinal(_231132), 8816 ^ _97764 : [(8817 ^ _97764) ^ [] : [empty(succ(_231132))], (8819 ^ _97764) ^ [] : [-(epsilon_transitive(succ(_231132)))], (8821 ^ _97764) ^ [] : [-(epsilon_connected(succ(_231132)))], (8823 ^ _97764) ^ [] : [-(ordinal(succ(_231132)))]]], (8825 ^ _97764) ^ [_231297, _231299] : [-(relation(set_difference(_231299, _231297))), relation(_231299), relation(_231297)], (8835 ^ _97764) ^ [_231438, _231440] : [empty(unordered_pair(_231440, _231438))], (8837 ^ _97764) ^ [_231465, _231467] : [-(open_subset(subset_complement(the_carrier(_231467), _231465), _231467)), topological_space(_231467), top_str(_231467), closed_subset(_231465, _231467), element(_231465, powerset(the_carrier(_231467)))], (8855 ^ _97764) ^ [_231711, _231713] : [-(empty(_231713)), empty(set_union2(_231711, _231713))], (8861 ^ _97764) ^ [_231790] : [8876 ^ _97764 : [(8877 ^ _97764) ^ [] : [empty_carrier(poset_of_lattice(_231790))], (8879 ^ _97764) ^ [] : [-(strict_rel_str(poset_of_lattice(_231790)))], (8881 ^ _97764) ^ [] : [-(reflexive_relstr(poset_of_lattice(_231790)))], (8883 ^ _97764) ^ [] : [-(transitive_relstr(poset_of_lattice(_231790)))], (8885 ^ _97764) ^ [] : [-(antisymmetric_relstr(poset_of_lattice(_231790)))], (8887 ^ _97764) ^ [] : [-(lower_bounded_relstr(poset_of_lattice(_231790)))], (8889 ^ _97764) ^ [] : [-(with_suprema_relstr(poset_of_lattice(_231790)))], (8891 ^ _97764) ^ [] : [-(with_infima_relstr(poset_of_lattice(_231790)))]], -(empty_carrier(_231790)), lattice(_231790), lower_bounded_semilattstr(_231790), latt_str(_231790)], (8893 ^ _97764) ^ [_232206, _232208] : [v4_membered(_232208), 8896 ^ _97764 : [(8897 ^ _97764) ^ [] : [-(v1_membered(set_difference(_232208, _232206)))], (8899 ^ _97764) ^ [] : [-(v2_membered(set_difference(_232208, _232206)))], (8901 ^ _97764) ^ [] : [-(v3_membered(set_difference(_232208, _232206)))], (8903 ^ _97764) ^ [] : [-(v4_membered(set_difference(_232208, _232206)))]]], (8905 ^ _97764) ^ [_232371, _232373] : [v5_membered(_232373), 8908 ^ _97764 : [(8909 ^ _97764) ^ [] : [-(v1_membered(set_difference(_232373, _232371)))], (8911 ^ _97764) ^ [] : [-(v2_membered(set_difference(_232373, _232371)))], (8913 ^ _97764) ^ [] : [-(v3_membered(set_difference(_232373, _232371)))], (8915 ^ _97764) ^ [] : [-(v4_membered(set_difference(_232373, _232371)))], (8917 ^ _97764) ^ [] : [-(v5_membered(set_difference(_232373, _232371)))]]], (8919 ^ _97764) ^ [_232564, _232566] : [8926 ^ _97764 : [(8927 ^ _97764) ^ [] : [-(relation(relation_dom_restriction(_232566, _232564)))], (8929 ^ _97764) ^ [] : [-(function(relation_dom_restriction(_232566, _232564)))]], relation(_232566), function(_232566)], (8931 ^ _97764) ^ [_232723] : [8942 ^ _97764 : [(8943 ^ _97764) ^ [] : [-(relation(the_L_meet(_232723)))], (8945 ^ _97764) ^ [] : [-(function(the_L_meet(_232723)))], (8947 ^ _97764) ^ [] : [-(quasi_total(the_L_meet(_232723), cartesian_product2(the_carrier(_232723), the_carrier(_232723)), the_carrier(_232723)))], (8949 ^ _97764) ^ [] : [-(v1_binop_1(the_L_meet(_232723), the_carrier(_232723)))], (8951 ^ _97764) ^ [] : [-(v1_partfun1(the_L_meet(_232723), cartesian_product2(the_carrier(_232723), the_carrier(_232723)), the_carrier(_232723)))]], -(empty_carrier(_232723)), meet_commutative(_232723), meet_semilatt_str(_232723)], (8953 ^ _97764) ^ [_233053] : [8964 ^ _97764 : [(8965 ^ _97764) ^ [] : [empty_carrier(poset_of_lattice(_233053))], (8967 ^ _97764) ^ [] : [-(strict_rel_str(poset_of_lattice(_233053)))], (8969 ^ _97764) ^ [] : [-(reflexive_relstr(poset_of_lattice(_233053)))], (8971 ^ _97764) ^ [] : [-(transitive_relstr(poset_of_lattice(_233053)))], (8973 ^ _97764) ^ [] : [-(antisymmetric_relstr(poset_of_lattice(_233053)))]], -(empty_carrier(_233053)), lattice(_233053), latt_str(_233053)], (8975 ^ _97764) ^ [_233343] : [ordinal(_233343), 8978 ^ _97764 : [(8979 ^ _97764) ^ [] : [-(epsilon_transitive(union(_233343)))], (8981 ^ _97764) ^ [] : [-(epsilon_connected(union(_233343)))], (8983 ^ _97764) ^ [] : [-(ordinal(union(_233343)))]]], (8985 ^ _97764) ^ [] : [-(empty(empty_set))], (8987 ^ _97764) ^ [] : [-(relation(empty_set))], (8989 ^ _97764) ^ [_233504, _233506] : [empty(cartesian_product2(_233506, _233504)), -(empty(_233506)), -(empty(_233504))], (8999 ^ _97764) ^ [_233589, _233591] : [-(closed_subset(subset_complement(the_carrier(_233591), _233589), _233591)), topological_space(_233591), top_str(_233591), open_subset(_233589, _233591), element(_233589, powerset(the_carrier(_233591)))], (9017 ^ _97764) ^ [_233836] : [9032 ^ _97764 : [(9033 ^ _97764) ^ [] : [empty_carrier(poset_of_lattice(_233836))], (9035 ^ _97764) ^ [] : [-(strict_rel_str(poset_of_lattice(_233836)))], (9037 ^ _97764) ^ [] : [-(reflexive_relstr(poset_of_lattice(_233836)))], (9039 ^ _97764) ^ [] : [-(transitive_relstr(poset_of_lattice(_233836)))], (9041 ^ _97764) ^ [] : [-(antisymmetric_relstr(poset_of_lattice(_233836)))], (9043 ^ _97764) ^ [] : [-(lower_bounded_relstr(poset_of_lattice(_233836)))], (9045 ^ _97764) ^ [] : [-(upper_bounded_relstr(poset_of_lattice(_233836)))], (9047 ^ _97764) ^ [] : [-(bounded_relstr(poset_of_lattice(_233836)))], (9049 ^ _97764) ^ [] : [-(with_suprema_relstr(poset_of_lattice(_233836)))], (9051 ^ _97764) ^ [] : [-(with_infima_relstr(poset_of_lattice(_233836)))], (9053 ^ _97764) ^ [] : [-(complete_relstr(poset_of_lattice(_233836)))]], -(empty_carrier(_233836)), lattice(_233836), complete_latt_str(_233836), latt_str(_233836)], (9055 ^ _97764) ^ [_234330, _234332] : [9062 ^ _97764 : [(9063 ^ _97764) ^ [] : [-(relation(relation_rng_restriction(_234332, _234330)))], (9065 ^ _97764) ^ [] : [-(function(relation_rng_restriction(_234332, _234330)))]], relation(_234330), function(_234330)], (9067 ^ _97764) ^ [_234489] : [9078 ^ _97764 : [(9079 ^ _97764) ^ [] : [-(relation(the_L_meet(_234489)))], (9081 ^ _97764) ^ [] : [-(function(the_L_meet(_234489)))], (9083 ^ _97764) ^ [] : [-(quasi_total(the_L_meet(_234489), cartesian_product2(the_carrier(_234489), the_carrier(_234489)), the_carrier(_234489)))], (9085 ^ _97764) ^ [] : [-(v2_binop_1(the_L_meet(_234489), the_carrier(_234489)))], (9087 ^ _97764) ^ [] : [-(v1_partfun1(the_L_meet(_234489), cartesian_product2(the_carrier(_234489), the_carrier(_234489)), the_carrier(_234489)))]], -(empty_carrier(_234489)), meet_associative(_234489), meet_semilatt_str(_234489)], (9089 ^ _97764) ^ [_234819] : [-(closed_subset(cast_as_carrier_subset(_234819), _234819)), topological_space(_234819), top_str(_234819)], (9099 ^ _97764) ^ [_234944] : [empty(relation_dom(_234944)), -(empty(_234944)), relation(_234944)], (9109 ^ _97764) ^ [_235069] : [-(strict_rel_str(incl_POSet(_235069)))], (9111 ^ _97764) ^ [_235088] : [-(reflexive_relstr(incl_POSet(_235088)))], (9113 ^ _97764) ^ [_235107] : [-(transitive_relstr(incl_POSet(_235107)))], (9115 ^ _97764) ^ [_235128] : [-(antisymmetric_relstr(incl_POSet(_235128)))], (9117 ^ _97764) ^ [] : [-(empty(empty_set))], (9119 ^ _97764) ^ [] : [-(v1_membered(empty_set))], (9121 ^ _97764) ^ [] : [-(v2_membered(empty_set))], (9123 ^ _97764) ^ [] : [-(v3_membered(empty_set))], (9125 ^ _97764) ^ [] : [-(v4_membered(empty_set))], (9127 ^ _97764) ^ [] : [-(v5_membered(empty_set))], (9129 ^ _97764) ^ [_235251] : [empty(relation_rng(_235251)), -(empty(_235251)), relation(_235251)], (9139 ^ _97764) ^ [_235378, _235380] : [-(open_subset(interior(_235380, _235378), _235380)), topological_space(_235380), top_str(_235380), element(_235378, powerset(the_carrier(_235380)))], (9153 ^ _97764) ^ [_235568] : [-(empty(_235568)), 9156 ^ _97764 : [(9157 ^ _97764) ^ [] : [empty_carrier(incl_POSet(_235568))], (9159 ^ _97764) ^ [] : [-(strict_rel_str(incl_POSet(_235568)))], (9161 ^ _97764) ^ [] : [-(reflexive_relstr(incl_POSet(_235568)))], (9163 ^ _97764) ^ [] : [-(transitive_relstr(incl_POSet(_235568)))], (9165 ^ _97764) ^ [] : [-(antisymmetric_relstr(incl_POSet(_235568)))]]], (9167 ^ _97764) ^ [_235758] : [empty(_235758), 9170 ^ _97764 : [(9171 ^ _97764) ^ [] : [-(empty(relation_dom(_235758)))], (9173 ^ _97764) ^ [] : [-(relation(relation_dom(_235758)))]]], (9175 ^ _97764) ^ [_235871] : [empty_carrier(boole_POSet(_235871))], (9177 ^ _97764) ^ [_235891] : [-(strict_rel_str(boole_POSet(_235891)))], (9179 ^ _97764) ^ [_235910] : [-(reflexive_relstr(boole_POSet(_235910)))], (9181 ^ _97764) ^ [_235929] : [-(transitive_relstr(boole_POSet(_235929)))], (9183 ^ _97764) ^ [_235950] : [-(antisymmetric_relstr(boole_POSet(_235950)))], (9185 ^ _97764) ^ [_235982] : [empty(_235982), 9188 ^ _97764 : [(9189 ^ _97764) ^ [] : [-(empty(relation_rng(_235982)))], (9191 ^ _97764) ^ [] : [-(relation(relation_rng(_235982)))]]], (9193 ^ _97764) ^ [_236095] : [empty_carrier(boole_POSet(_236095))], (9195 ^ _97764) ^ [_236115] : [-(strict_rel_str(boole_POSet(_236115)))], (9197 ^ _97764) ^ [_236134] : [-(reflexive_relstr(boole_POSet(_236134)))], (9199 ^ _97764) ^ [_236153] : [-(transitive_relstr(boole_POSet(_236153)))], (9201 ^ _97764) ^ [_236172] : [-(antisymmetric_relstr(boole_POSet(_236172)))], (9203 ^ _97764) ^ [_236191] : [-(lower_bounded_relstr(boole_POSet(_236191)))], (9205 ^ _97764) ^ [_236210] : [-(upper_bounded_relstr(boole_POSet(_236210)))], (9207 ^ _97764) ^ [_236229] : [-(bounded_relstr(boole_POSet(_236229)))], (9209 ^ _97764) ^ [_236248] : [-(with_suprema_relstr(boole_POSet(_236248)))], (9211 ^ _97764) ^ [_236267] : [-(with_infima_relstr(boole_POSet(_236267)))], (9213 ^ _97764) ^ [_236288] : [-(complete_relstr(boole_POSet(_236288)))], (9215 ^ _97764) ^ [_236332, _236334] : [-(finite(set_union2(_236334, _236332))), finite(_236334), finite(_236332)], (9225 ^ _97764) ^ [_236461, _236463] : [9232 ^ _97764 : [(9233 ^ _97764) ^ [] : [-(empty(relation_composition(_236463, _236461)))], (9235 ^ _97764) ^ [] : [-(relation(relation_composition(_236463, _236461)))]], empty(_236463), relation(_236461)], (9237 ^ _97764) ^ [_236620, _236622] : [-(empty_carrier(_236620)), lattice(_236620), latt_str(_236620), 9248 ^ _97764 : [(9249 ^ _97764) ^ [] : [in(_236622, a_1_0_filter_1(_236620)), 9254 ^ _97764 : [(9255 ^ _97764) ^ [] : [-(element(9252 ^ [_236620, _236622], the_carrier(_236620)))], (9257 ^ _97764) ^ [] : [-(element(9253 ^ [_236620, _236622], the_carrier(_236620)))], (9259 ^ _97764) ^ [] : [-(_236622 = ordered_pair_as_product_element(the_carrier(_236620), the_carrier(_236620), 9252 ^ [_236620, _236622], 9253 ^ [_236620, _236622]))], (9261 ^ _97764) ^ [] : [-(below_refl(_236620, 9252 ^ [_236620, _236622], 9253 ^ [_236620, _236622]))]]], (9263 ^ _97764) ^ [] : [-(in(_236622, a_1_0_filter_1(_236620))), 9264 ^ _97764 : [(9265 ^ _97764) ^ [_237032, _237034] : [element(_237034, the_carrier(_236620)), element(_237032, the_carrier(_236620)), _236622 = ordered_pair_as_product_element(the_carrier(_236620), the_carrier(_236620), _237034, _237032), below_refl(_236620, _237034, _237032)]]]]], (9281 ^ _97764) ^ [_237292, _237294, _237296] : [-(empty_carrier(_237294)), latt_str(_237294), 9288 ^ _97764 : [(9289 ^ _97764) ^ [] : [in(_237296, a_2_2_lattice3(_237294, _237292)), 9293 ^ _97764 : [(9294 ^ _97764) ^ [] : [-(element(9292 ^ [_237292, _237294, _237296], the_carrier(_237294)))], (9296 ^ _97764) ^ [] : [-(_237296 = 9292 ^ [_237292, _237294, _237296])], (9298 ^ _97764) ^ [] : [-(latt_set_smaller(_237294, 9292 ^ [_237292, _237294, _237296], _237292))]]], (9300 ^ _97764) ^ [] : [-(in(_237296, a_2_2_lattice3(_237294, _237292))), 9301 ^ _97764 : [(9302 ^ _97764) ^ [_237598] : [element(_237598, the_carrier(_237294)), _237296 = _237598, latt_set_smaller(_237294, _237598, _237292)]]]]], (9314 ^ _97764) ^ [_237779, _237781, _237783] : [-(empty_carrier(_237781)), lattice(_237781), complete_latt_str(_237781), latt_str(_237781), 9329 ^ _97764 : [(9330 ^ _97764) ^ [] : [in(_237783, a_2_3_lattice3(_237781, _237779)), 9334 ^ _97764 : [(9335 ^ _97764) ^ [] : [-(element(9333 ^ [_237779, _237781, _237783], the_carrier(_237781)))], (9337 ^ _97764) ^ [] : [-(_237783 = 9333 ^ [_237779, _237781, _237783])], (9339 ^ _97764) ^ [] : [-(latt_set_smaller(_237781, 9333 ^ [_237779, _237781, _237783], _237779))]]], (9341 ^ _97764) ^ [] : [-(in(_237783, a_2_3_lattice3(_237781, _237779))), 9342 ^ _97764 : [(9343 ^ _97764) ^ [_238189] : [element(_238189, the_carrier(_237781)), _237783 = _238189, latt_set_smaller(_237781, _238189, _237779)]]]]], (9355 ^ _97764) ^ [_238374, _238376] : [relation_of2(_238374, _238376, _238376), 9358 ^ _97764 : [(9359 ^ _97764) ^ [_238456, _238458] : [rel_str_of(_238376, _238374) = rel_str_of(_238458, _238456), 9362 ^ _97764 : [(9363 ^ _97764) ^ [] : [-(_238376 = _238458)], (9365 ^ _97764) ^ [] : [-(_238374 = _238456)]]]]], (9367 ^ _97764) ^ [_238579, _238581, _238583] : [9390 ^ _97764 : [(9391 ^ _97764) ^ [_238972, _238974, _238976] : [latt_str_of(_238583, _238581, _238579) = latt_str_of(_238976, _238974, _238972), 9394 ^ _97764 : [(9395 ^ _97764) ^ [] : [-(_238583 = _238976)], (9397 ^ _97764) ^ [] : [-(_238581 = _238974)], (9399 ^ _97764) ^ [] : [-(_238579 = _238972)]]]], function(_238581), quasi_total(_238581, cartesian_product2(_238583, _238583), _238583), relation_of2(_238581, cartesian_product2(_238583, _238583), _238583), function(_238579), quasi_total(_238579, cartesian_product2(_238583, _238583), _238583), relation_of2(_238579, cartesian_product2(_238583, _238583), _238583)], (9401 ^ _97764) ^ [_239127, _239129] : [-(set_union2(_239129, _239129) = _239129)], (9403 ^ _97764) ^ [_239155, _239157] : [-(set_intersection2(_239157, _239157) = _239157)], (9405 ^ _97764) ^ [_239183, _239185, _239187] : [-(subset_union2(_239187, _239185, _239185) = _239185), element(_239185, powerset(_239187)), element(_239183, powerset(_239187))], (9415 ^ _97764) ^ [_239332, _239334, _239336] : [-(subset_intersection2(_239336, _239334, _239334) = _239334), element(_239334, powerset(_239336)), element(_239332, powerset(_239336))], (9425 ^ _97764) ^ [_239481, _239483] : [element(_239481, powerset(_239483)), -(subset_complement(_239483, subset_complement(_239483, _239481)) = _239481)], (9431 ^ _97764) ^ [_239574] : [relation(_239574), -(relation_inverse(relation_inverse(_239574)) = _239574)], (9437 ^ _97764) ^ [_239655, _239657] : [element(_239655, powerset(powerset(_239657))), -(complements_of_subsets(_239657, complements_of_subsets(_239657, _239655)) = _239655)], (9443 ^ _97764) ^ [_239764, _239766] : [proper_subset(_239766, _239766)], (9445 ^ _97764) ^ [_239789] : [relation(_239789), 9448 ^ _97764 : [(9459 ^ _97764) ^ [] : [9461 ^ _97764 : [(9462 ^ _97764) ^ [] : [-(in(9460 ^ [_239789], relation_field(_239789)))], (9464 ^ _97764) ^ [] : [in(ordered_pair(9460 ^ [_239789], 9460 ^ [_239789]), _239789)]], -(reflexive(_239789))], (9449 ^ _97764) ^ [] : [reflexive(_239789), 9452 ^ _97764 : [(9453 ^ _97764) ^ [_239908] : [in(_239908, relation_field(_239789)), -(in(ordered_pair(_239908, _239908), _239789))]]]]], (9468 ^ _97764) ^ [_240136] : [singleton(_240136) = empty_set], (9470 ^ _97764) ^ [_240161, _240163] : [in(_240163, _240161), -(set_union2(singleton(_240163), _240161) = _240161)], (9476 ^ _97764) ^ [_240248, _240250] : [disjoint(singleton(_240250), _240248), in(_240250, _240248)], (9482 ^ _97764) ^ [_240324, _240326] : [-(in(_240326, _240324)), -(disjoint(singleton(_240326), _240324))], (9488 ^ _97764) ^ [_240362, _240364] : [relation(_240362), -(subset(relation_dom(relation_rng_restriction(_240364, _240362)), relation_dom(_240362)))], (9494 ^ _97764) ^ [_240451] : [relation(_240451), 9497 ^ _97764 : [(9512 ^ _97764) ^ [] : [9516 ^ _97764 : [(9517 ^ _97764) ^ [] : [-(in(ordered_pair(9513 ^ [_240451], 9514 ^ [_240451]), _240451))], (9519 ^ _97764) ^ [] : [-(in(ordered_pair(9514 ^ [_240451], 9515 ^ [_240451]), _240451))], (9521 ^ _97764) ^ [] : [in(ordered_pair(9513 ^ [_240451], 9515 ^ [_240451]), _240451)]], -(transitive(_240451))], (9498 ^ _97764) ^ [] : [transitive(_240451), 9501 ^ _97764 : [(9502 ^ _97764) ^ [_240590, _240592, _240594] : [-(in(ordered_pair(_240594, _240590), _240451)), in(ordered_pair(_240594, _240592), _240451), in(ordered_pair(_240592, _240590), _240451)]]]]], (9525 ^ _97764) ^ [_240936, _240938] : [subset(singleton(_240938), _240936), -(in(_240938, _240936))], (9531 ^ _97764) ^ [_241013, _241015] : [in(_241015, _241013), -(subset(singleton(_241015), _241013))], (9537 ^ _97764) ^ [_241096, _241098] : [relation(_241096), well_ordering(_241096), equipotent(_241098, relation_field(_241096)), 9549 ^ _97764 : [(9550 ^ _97764) ^ [] : [-(relation(9548 ^ [_241096, _241098]))], (9552 ^ _97764) ^ [] : [-(well_orders(9548 ^ [_241096, _241098], _241098))]]], (9554 ^ _97764) ^ [_241339, _241341] : [set_difference(_241341, _241339) = empty_set, -(subset(_241341, _241339))], (9560 ^ _97764) ^ [_241418, _241420] : [subset(_241420, _241418), -(set_difference(_241420, _241418) = empty_set)], (9566 ^ _97764) ^ [_241503, _241505] : [element(_241503, powerset(_241505)), 9569 ^ _97764 : [(9570 ^ _97764) ^ [_241570] : [in(_241570, _241503), -(in(_241570, _241505))]]], (9576 ^ _97764) ^ [_241653] : [relation(_241653), 9579 ^ _97764 : [(9594 ^ _97764) ^ [] : [9597 ^ _97764 : [(9598 ^ _97764) ^ [] : [-(in(ordered_pair(9595 ^ [_241653], 9596 ^ [_241653]), _241653))], (9600 ^ _97764) ^ [] : [-(in(ordered_pair(9596 ^ [_241653], 9595 ^ [_241653]), _241653))], (9602 ^ _97764) ^ [] : [9595 ^ [_241653] = 9596 ^ [_241653]]], -(antisymmetric(_241653))], (9580 ^ _97764) ^ [] : [antisymmetric(_241653), 9583 ^ _97764 : [(9584 ^ _97764) ^ [_241784, _241786] : [-(_241786 = _241784), in(ordered_pair(_241786, _241784), _241653), in(ordered_pair(_241784, _241786), _241653)]]]]], (9606 ^ _97764) ^ [_242099, _242101, _242103] : [subset(_242103, _242101), -(in(_242099, _242103)), -(subset(_242103, set_difference(_242101, singleton(_242099))))], (9616 ^ _97764) ^ [_242201] : [-(empty_carrier(_242201)), one_sorted_str(_242201), 9623 ^ _97764 : [(9624 ^ _97764) ^ [_242341] : [element(_242341, powerset(the_carrier(_242201))), 9627 ^ _97764 : [(9628 ^ _97764) ^ [_242427] : [element(_242427, the_carrier(_242201)), 9631 ^ _97764 : [(9632 ^ _97764) ^ [] : [in(_242427, subset_complement(the_carrier(_242201), _242341)), in(_242427, _242341)], (9638 ^ _97764) ^ [] : [-(in(_242427, _242341)), -(in(_242427, subset_complement(the_carrier(_242201), _242341)))]]]]]]], (9644 ^ _97764) ^ [_242629] : [relation(_242629), 9647 ^ _97764 : [(9670 ^ _97764) ^ [] : [9673 ^ _97764 : [(9674 ^ _97764) ^ [] : [-(in(9671 ^ [_242629], relation_field(_242629)))], (9676 ^ _97764) ^ [] : [-(in(9672 ^ [_242629], relation_field(_242629)))], (9678 ^ _97764) ^ [] : [9671 ^ [_242629] = 9672 ^ [_242629]], (9680 ^ _97764) ^ [] : [in(ordered_pair(9671 ^ [_242629], 9672 ^ [_242629]), _242629)], (9682 ^ _97764) ^ [] : [in(ordered_pair(9672 ^ [_242629], 9671 ^ [_242629]), _242629)]], -(connected(_242629))], (9648 ^ _97764) ^ [] : [connected(_242629), 9651 ^ _97764 : [(9652 ^ _97764) ^ [_242784, _242786] : [in(_242786, relation_field(_242629)), in(_242784, relation_field(_242629)), -(_242786 = _242784), -(in(ordered_pair(_242786, _242784), _242629)), -(in(ordered_pair(_242784, _242786), _242629))]]]]], (9696 ^ _97764) ^ [_243365, _243367] : [9697 ^ _97764 : [(9698 ^ _97764) ^ [] : [_243367 = empty_set], (9700 ^ _97764) ^ [] : [_243367 = singleton(_243365)]], -(subset(_243367, singleton(_243365)))], (9686 ^ _97764) ^ [_243271, _243273] : [subset(_243273, singleton(_243271)), -(_243273 = empty_set), -(_243273 = singleton(_243271))], (9704 ^ _97764) ^ [_243490, _243492] : [in(_243492, _243490), -(subset(_243492, union(_243490)))], (9710 ^ _97764) ^ [_243592, _243594, _243596, _243598] : [in(ordered_pair(_243598, _243596), cartesian_product2(_243594, _243592)), 9713 ^ _97764 : [(9714 ^ _97764) ^ [] : [-(in(_243598, _243594))], (9716 ^ _97764) ^ [] : [-(in(_243596, _243592))]]], (9718 ^ _97764) ^ [_243707, _243709, _243711, _243713] : [-(in(ordered_pair(_243713, _243711), cartesian_product2(_243709, _243707))), in(_243713, _243709), in(_243711, _243707)], (9728 ^ _97764) ^ [_243858, _243860] : [9730 ^ _97764 : [(9731 ^ _97764) ^ [] : [-(in(9729 ^ [_243858, _243860], _243860))], (9733 ^ _97764) ^ [] : [in(9729 ^ [_243858, _243860], _243858)]], -(element(_243860, powerset(_243858)))], (9737 ^ _97764) ^ [_244002, _244004, _244006] : [relation(_244002), function(_244002), 9744 ^ _97764 : [(9745 ^ _97764) ^ [] : [in(_244004, relation_dom(relation_dom_restriction(_244002, _244006))), 9748 ^ _97764 : [(9749 ^ _97764) ^ [] : [-(in(_244004, relation_dom(_244002)))], (9751 ^ _97764) ^ [] : [-(in(_244004, _244006))]]], (9753 ^ _97764) ^ [] : [-(in(_244004, relation_dom(relation_dom_restriction(_244002, _244006)))), in(_244004, relation_dom(_244002)), in(_244004, _244006)]]], (9764 ^ _97764) ^ [] : [-(latt_str(9762 ^ []))], (9766 ^ _97764) ^ [] : [empty_carrier(9762 ^ [])], (9768 ^ _97764) ^ [] : [-(strict_latt_str(9762 ^ []))], (9770 ^ _97764) ^ [] : [-(join_commutative(9762 ^ []))], (9772 ^ _97764) ^ [] : [-(join_associative(9762 ^ []))], (9774 ^ _97764) ^ [] : [-(meet_commutative(9762 ^ []))], (9776 ^ _97764) ^ [] : [-(meet_associative(9762 ^ []))], (9778 ^ _97764) ^ [] : [-(meet_absorbing(9762 ^ []))], (9780 ^ _97764) ^ [] : [-(join_absorbing(9762 ^ []))], (9782 ^ _97764) ^ [] : [-(lattice(9762 ^ []))], (9784 ^ _97764) ^ [] : [-(distributive_lattstr(9762 ^ []))], (9786 ^ _97764) ^ [] : [-(modular_lattstr(9762 ^ []))], (9788 ^ _97764) ^ [] : [-(lower_bounded_semilattstr(9762 ^ []))], (9790 ^ _97764) ^ [] : [-(upper_bounded_semilattstr(9762 ^ []))], (9793 ^ _97764) ^ [] : [-(latt_str(9791 ^ []))], (9795 ^ _97764) ^ [] : [empty_carrier(9791 ^ [])], (9797 ^ _97764) ^ [] : [-(strict_latt_str(9791 ^ []))], (9799 ^ _97764) ^ [] : [-(join_commutative(9791 ^ []))], (9801 ^ _97764) ^ [] : [-(join_associative(9791 ^ []))], (9803 ^ _97764) ^ [] : [-(meet_commutative(9791 ^ []))], (9805 ^ _97764) ^ [] : [-(meet_associative(9791 ^ []))], (9807 ^ _97764) ^ [] : [-(meet_absorbing(9791 ^ []))], (9809 ^ _97764) ^ [] : [-(join_absorbing(9791 ^ []))], (9811 ^ _97764) ^ [] : [-(lattice(9791 ^ []))], (9813 ^ _97764) ^ [] : [-(lower_bounded_semilattstr(9791 ^ []))], (9815 ^ _97764) ^ [] : [-(upper_bounded_semilattstr(9791 ^ []))], (9817 ^ _97764) ^ [] : [-(bounded_lattstr(9791 ^ []))], (9820 ^ _97764) ^ [] : [-(latt_str(9818 ^ []))], (9822 ^ _97764) ^ [] : [empty_carrier(9818 ^ [])], (9824 ^ _97764) ^ [] : [-(strict_latt_str(9818 ^ []))], (9826 ^ _97764) ^ [] : [-(join_commutative(9818 ^ []))], (9828 ^ _97764) ^ [] : [-(join_associative(9818 ^ []))], (9830 ^ _97764) ^ [] : [-(meet_commutative(9818 ^ []))], (9832 ^ _97764) ^ [] : [-(meet_associative(9818 ^ []))], (9834 ^ _97764) ^ [] : [-(meet_absorbing(9818 ^ []))], (9836 ^ _97764) ^ [] : [-(join_absorbing(9818 ^ []))], (9838 ^ _97764) ^ [] : [-(lattice(9818 ^ []))], (9840 ^ _97764) ^ [] : [-(lower_bounded_semilattstr(9818 ^ []))], (9842 ^ _97764) ^ [] : [-(upper_bounded_semilattstr(9818 ^ []))], (9844 ^ _97764) ^ [] : [-(bounded_lattstr(9818 ^ []))], (9846 ^ _97764) ^ [] : [-(complemented_lattstr(9818 ^ []))], (9849 ^ _97764) ^ [] : [-(latt_str(9847 ^ []))], (9851 ^ _97764) ^ [] : [empty_carrier(9847 ^ [])], (9853 ^ _97764) ^ [] : [-(strict_latt_str(9847 ^ []))], (9855 ^ _97764) ^ [] : [-(join_commutative(9847 ^ []))], (9857 ^ _97764) ^ [] : [-(join_associative(9847 ^ []))], (9859 ^ _97764) ^ [] : [-(meet_commutative(9847 ^ []))], (9861 ^ _97764) ^ [] : [-(meet_associative(9847 ^ []))], (9863 ^ _97764) ^ [] : [-(meet_absorbing(9847 ^ []))], (9865 ^ _97764) ^ [] : [-(join_absorbing(9847 ^ []))], (9867 ^ _97764) ^ [] : [-(lattice(9847 ^ []))], (9869 ^ _97764) ^ [] : [-(distributive_lattstr(9847 ^ []))], (9871 ^ _97764) ^ [] : [-(lower_bounded_semilattstr(9847 ^ []))], (9873 ^ _97764) ^ [] : [-(upper_bounded_semilattstr(9847 ^ []))], (9875 ^ _97764) ^ [] : [-(bounded_lattstr(9847 ^ []))], (9877 ^ _97764) ^ [] : [-(complemented_lattstr(9847 ^ []))], (9879 ^ _97764) ^ [] : [-(boolean_lattstr(9847 ^ []))], (9882 ^ _97764) ^ [] : [empty(9880 ^ [])], (9884 ^ _97764) ^ [] : [-(epsilon_transitive(9880 ^ []))], (9886 ^ _97764) ^ [] : [-(epsilon_connected(9880 ^ []))], (9888 ^ _97764) ^ [] : [-(ordinal(9880 ^ []))], (9890 ^ _97764) ^ [] : [-(natural(9880 ^ []))], (9893 ^ _97764) ^ [] : [empty(9891 ^ [])], (9895 ^ _97764) ^ [] : [-(finite(9891 ^ []))], (9898 ^ _97764) ^ [] : [-(relation(9896 ^ []))], (9900 ^ _97764) ^ [] : [-(function(9896 ^ []))], (9903 ^ _97764) ^ [_245783, _245785] : [-(relation_of2(9901 ^ [_245783, _245785], _245785, _245783))], (9905 ^ _97764) ^ [_245811, _245813] : [-(relation(9901 ^ [_245811, _245813]))], (9907 ^ _97764) ^ [_245837, _245839] : [-(function(9901 ^ [_245837, _245839]))], (9909 ^ _97764) ^ [_245865, _245867] : [-(quasi_total(9901 ^ [_245865, _245867], _245867, _245865))], (9912 ^ _97764) ^ [] : [-(rel_str(9910 ^ []))], (9914 ^ _97764) ^ [] : [empty_carrier(9910 ^ [])], (9916 ^ _97764) ^ [] : [-(strict_rel_str(9910 ^ []))], (9918 ^ _97764) ^ [] : [-(reflexive_relstr(9910 ^ []))], (9920 ^ _97764) ^ [] : [-(transitive_relstr(9910 ^ []))], (9922 ^ _97764) ^ [] : [-(antisymmetric_relstr(9910 ^ []))], (9924 ^ _97764) ^ [] : [-(complete_relstr(9910 ^ []))], (9927 ^ _97764) ^ [] : [empty(9925 ^ [])], (9929 ^ _97764) ^ [] : [-(v1_membered(9925 ^ []))], (9931 ^ _97764) ^ [] : [-(v2_membered(9925 ^ []))], (9933 ^ _97764) ^ [] : [-(v3_membered(9925 ^ []))], (9935 ^ _97764) ^ [] : [-(v4_membered(9925 ^ []))], (9937 ^ _97764) ^ [] : [-(v5_membered(9925 ^ []))], (9940 ^ _97764) ^ [] : [-(rel_str(9938 ^ []))], (9942 ^ _97764) ^ [] : [-(strict_rel_str(9938 ^ []))], (9945 ^ _97764) ^ [] : [-(epsilon_transitive(9943 ^ []))], (9947 ^ _97764) ^ [] : [-(epsilon_connected(9943 ^ []))], (9949 ^ _97764) ^ [] : [-(ordinal(9943 ^ []))], (9952 ^ _97764) ^ [] : [-(epsilon_transitive(9950 ^ []))], (9954 ^ _97764) ^ [] : [-(epsilon_connected(9950 ^ []))], (9956 ^ _97764) ^ [] : [-(ordinal(9950 ^ []))], (9958 ^ _97764) ^ [] : [-(being_limit_ordinal(9950 ^ []))], (9961 ^ _97764) ^ [] : [-(relation(9959 ^ []))], (9963 ^ _97764) ^ [] : [-(function(9959 ^ []))], (9965 ^ _97764) ^ [] : [-(one_to_one(9959 ^ []))], (9967 ^ _97764) ^ [] : [-(empty(9959 ^ []))], (9970 ^ _97764) ^ [] : [-(relation(9968 ^ []))], (9972 ^ _97764) ^ [] : [-(relation_empty_yielding(9968 ^ []))], (9974 ^ _97764) ^ [] : [-(function(9968 ^ []))], (9977 ^ _97764) ^ [] : [-(empty(9975 ^ []))], (9979 ^ _97764) ^ [] : [-(relation(9975 ^ []))], (9981 ^ _97764) ^ [_246543] : [-(empty(_246543)), 9985 ^ _97764 : [(9986 ^ _97764) ^ [] : [-(element(9984 ^ [_246543], powerset(_246543)))], (9988 ^ _97764) ^ [] : [empty(9984 ^ [_246543])]]], (9990 ^ _97764) ^ [_246676] : [9998 ^ _97764 : [(9999 ^ _97764) ^ [] : [-(element(9997 ^ [_246676], powerset(the_carrier(_246676))))], (10001 ^ _97764) ^ [] : [-(open_subset(9997 ^ [_246676], _246676))]], topological_space(_246676), top_str(_246676)], (10004 ^ _97764) ^ [] : [-(empty(10002 ^ []))], (10007 ^ _97764) ^ [] : [-(rel_str(10005 ^ []))], (10009 ^ _97764) ^ [] : [empty_carrier(10005 ^ [])], (10011 ^ _97764) ^ [] : [-(strict_rel_str(10005 ^ []))], (10013 ^ _97764) ^ [] : [-(reflexive_relstr(10005 ^ []))], (10015 ^ _97764) ^ [] : [-(transitive_relstr(10005 ^ []))], (10017 ^ _97764) ^ [] : [-(antisymmetric_relstr(10005 ^ []))], (10019 ^ _97764) ^ [] : [-(with_suprema_relstr(10005 ^ []))], (10021 ^ _97764) ^ [] : [-(with_infima_relstr(10005 ^ []))], (10023 ^ _97764) ^ [] : [-(complete_relstr(10005 ^ []))], (10025 ^ _97764) ^ [] : [-(trivial_carrier(10005 ^ []))], (10028 ^ _97764) ^ [_247087] : [-(element(10026 ^ [_247087], powerset(_247087)))], (10030 ^ _97764) ^ [_247112] : [-(empty(10026 ^ [_247112]))], (10032 ^ _97764) ^ [_247134] : [-(relation(10026 ^ [_247134]))], (10034 ^ _97764) ^ [_247156] : [-(function(10026 ^ [_247156]))], (10036 ^ _97764) ^ [_247178] : [-(one_to_one(10026 ^ [_247178]))], (10038 ^ _97764) ^ [_247200] : [-(epsilon_transitive(10026 ^ [_247200]))], (10040 ^ _97764) ^ [_247222] : [-(epsilon_connected(10026 ^ [_247222]))], (10042 ^ _97764) ^ [_247244] : [-(ordinal(10026 ^ [_247244]))], (10044 ^ _97764) ^ [_247266] : [-(natural(10026 ^ [_247266]))], (10046 ^ _97764) ^ [_247290] : [-(finite(10026 ^ [_247290]))], (10049 ^ _97764) ^ [] : [-(relation(10047 ^ []))], (10051 ^ _97764) ^ [] : [-(empty(10047 ^ []))], (10053 ^ _97764) ^ [] : [-(function(10047 ^ []))], (10056 ^ _97764) ^ [_247391] : [-(relation_of2(10054 ^ [_247391], _247391, _247391))], (10058 ^ _97764) ^ [_247415] : [-(relation(10054 ^ [_247415]))], (10060 ^ _97764) ^ [_247437] : [-(function(10054 ^ [_247437]))], (10062 ^ _97764) ^ [_247459] : [-(one_to_one(10054 ^ [_247459]))], (10064 ^ _97764) ^ [_247481] : [-(quasi_total(10054 ^ [_247481], _247481, _247481))], (10066 ^ _97764) ^ [_247505] : [-(onto(10054 ^ [_247505], _247505, _247505))], (10068 ^ _97764) ^ [_247531] : [-(bijective(10054 ^ [_247531], _247531, _247531))], (10071 ^ _97764) ^ [] : [-(rel_str(10069 ^ []))], (10073 ^ _97764) ^ [] : [empty_carrier(10069 ^ [])], (10075 ^ _97764) ^ [] : [-(strict_rel_str(10069 ^ []))], (10077 ^ _97764) ^ [] : [-(reflexive_relstr(10069 ^ []))], (10079 ^ _97764) ^ [] : [-(transitive_relstr(10069 ^ []))], (10081 ^ _97764) ^ [] : [-(antisymmetric_relstr(10069 ^ []))], (10083 ^ _97764) ^ [] : [-(with_suprema_relstr(10069 ^ []))], (10085 ^ _97764) ^ [] : [-(with_infima_relstr(10069 ^ []))], (10087 ^ _97764) ^ [] : [-(complete_relstr(10069 ^ []))], (10090 ^ _97764) ^ [] : [-(rel_str(10088 ^ []))], (10092 ^ _97764) ^ [] : [empty_carrier(10088 ^ [])], (10094 ^ _97764) ^ [] : [-(strict_rel_str(10088 ^ []))], (10096 ^ _97764) ^ [] : [-(reflexive_relstr(10088 ^ []))], (10098 ^ _97764) ^ [] : [-(transitive_relstr(10088 ^ []))], (10100 ^ _97764) ^ [] : [-(antisymmetric_relstr(10088 ^ []))], (10103 ^ _97764) ^ [] : [-(relation(10101 ^ []))], (10105 ^ _97764) ^ [] : [-(function(10101 ^ []))], (10107 ^ _97764) ^ [] : [-(one_to_one(10101 ^ []))], (10109 ^ _97764) ^ [] : [-(empty(10101 ^ []))], (10111 ^ _97764) ^ [] : [-(epsilon_transitive(10101 ^ []))], (10113 ^ _97764) ^ [] : [-(epsilon_connected(10101 ^ []))], (10115 ^ _97764) ^ [] : [-(ordinal(10101 ^ []))], (10118 ^ _97764) ^ [_248034, _248036] : [-(relation_of2(10116 ^ [_248034, _248036], _248036, _248034))], (10120 ^ _97764) ^ [_248062, _248064] : [-(relation(10116 ^ [_248062, _248064]))], (10122 ^ _97764) ^ [_248090, _248092] : [-(function(10116 ^ [_248090, _248092]))], (10125 ^ _97764) ^ [] : [empty(10123 ^ [])], (10127 ^ _97764) ^ [] : [-(relation(10123 ^ []))], (10130 ^ _97764) ^ [_248176] : [-(element(10128 ^ [_248176], powerset(_248176)))], (10132 ^ _97764) ^ [_248203] : [-(empty(10128 ^ [_248203]))], (10135 ^ _97764) ^ [_248251] : [-(element(10133 ^ [_248251], powerset(_248251)))], (10137 ^ _97764) ^ [_248280] : [proper_element(10133 ^ [_248280], powerset(_248280))], (10139 ^ _97764) ^ [_248312] : [10147 ^ _97764 : [(10148 ^ _97764) ^ [] : [-(element(10146 ^ [_248312], powerset(the_carrier(_248312))))], (10150 ^ _97764) ^ [] : [-(open_subset(10146 ^ [_248312], _248312))], (10152 ^ _97764) ^ [] : [-(closed_subset(10146 ^ [_248312], _248312))]], topological_space(_248312), top_str(_248312)], (10155 ^ _97764) ^ [] : [empty(10153 ^ [])], (10158 ^ _97764) ^ [] : [-(rel_str(10156 ^ []))], (10160 ^ _97764) ^ [] : [empty_carrier(10156 ^ [])], (10162 ^ _97764) ^ [] : [-(reflexive_relstr(10156 ^ []))], (10164 ^ _97764) ^ [] : [-(transitive_relstr(10156 ^ []))], (10166 ^ _97764) ^ [] : [-(antisymmetric_relstr(10156 ^ []))], (10168 ^ _97764) ^ [] : [-(with_suprema_relstr(10156 ^ []))], (10170 ^ _97764) ^ [] : [-(with_infima_relstr(10156 ^ []))], (10172 ^ _97764) ^ [] : [-(complete_relstr(10156 ^ []))], (10174 ^ _97764) ^ [] : [-(lower_bounded_relstr(10156 ^ []))], (10176 ^ _97764) ^ [] : [-(upper_bounded_relstr(10156 ^ []))], (10178 ^ _97764) ^ [] : [-(bounded_relstr(10156 ^ []))], (10180 ^ _97764) ^ [_248779] : [-(empty(_248779)), 10184 ^ _97764 : [(10185 ^ _97764) ^ [] : [-(element(10183 ^ [_248779], powerset(_248779)))], (10187 ^ _97764) ^ [] : [empty(10183 ^ [_248779])], (10189 ^ _97764) ^ [] : [-(finite(10183 ^ [_248779]))]]], (10192 ^ _97764) ^ [] : [-(relation(10190 ^ []))], (10194 ^ _97764) ^ [] : [-(function(10190 ^ []))], (10196 ^ _97764) ^ [] : [-(one_to_one(10190 ^ []))], (10199 ^ _97764) ^ [] : [-(latt_str(10197 ^ []))], (10201 ^ _97764) ^ [] : [-(strict_latt_str(10197 ^ []))], (10204 ^ _97764) ^ [] : [empty(10202 ^ [])], (10206 ^ _97764) ^ [] : [-(epsilon_transitive(10202 ^ []))], (10208 ^ _97764) ^ [] : [-(epsilon_connected(10202 ^ []))], (10210 ^ _97764) ^ [] : [-(ordinal(10202 ^ []))], (10213 ^ _97764) ^ [_249142] : [-(relation_of2(10211 ^ [_249142], _249142, _249142))], (10215 ^ _97764) ^ [_249166] : [-(relation(10211 ^ [_249166]))], (10217 ^ _97764) ^ [_249188] : [-(reflexive(10211 ^ [_249188]))], (10219 ^ _97764) ^ [_249210] : [-(symmetric(10211 ^ [_249210]))], (10221 ^ _97764) ^ [_249232] : [-(antisymmetric(10211 ^ [_249232]))], (10223 ^ _97764) ^ [_249254] : [-(transitive(10211 ^ [_249254]))], (10225 ^ _97764) ^ [_249278] : [-(v1_partfun1(10211 ^ [_249278], _249278, _249278))], (10228 ^ _97764) ^ [] : [-(relation(10226 ^ []))], (10230 ^ _97764) ^ [] : [-(relation_empty_yielding(10226 ^ []))], (10233 ^ _97764) ^ [] : [-(one_sorted_str(10231 ^ []))], (10235 ^ _97764) ^ [] : [empty_carrier(10231 ^ [])], (10237 ^ _97764) ^ [_249410] : [-(empty(_249410)), 10241 ^ _97764 : [(10242 ^ _97764) ^ [] : [-(element(10240 ^ [_249410], powerset(_249410)))], (10244 ^ _97764) ^ [] : [empty(10240 ^ [_249410])], (10246 ^ _97764) ^ [] : [-(finite(10240 ^ [_249410]))]]], (10249 ^ _97764) ^ [] : [-(relation(10247 ^ []))], (10251 ^ _97764) ^ [] : [-(relation_empty_yielding(10247 ^ []))], (10253 ^ _97764) ^ [] : [-(function(10247 ^ []))], (10255 ^ _97764) ^ [_249641] : [10263 ^ _97764 : [(10264 ^ _97764) ^ [] : [-(element(10262 ^ [_249641], powerset(the_carrier(_249641))))], (10266 ^ _97764) ^ [] : [empty(10262 ^ [_249641])]], -(empty_carrier(_249641)), one_sorted_str(_249641)], (10269 ^ _97764) ^ [] : [-(latt_str(10267 ^ []))], (10271 ^ _97764) ^ [] : [empty_carrier(10267 ^ [])], (10273 ^ _97764) ^ [] : [-(strict_latt_str(10267 ^ []))], (10275 ^ _97764) ^ [_249909] : [10283 ^ _97764 : [(10284 ^ _97764) ^ [] : [-(element(10282 ^ [_249909], powerset(the_carrier(_249909))))], (10286 ^ _97764) ^ [] : [-(closed_subset(10282 ^ [_249909], _249909))]], topological_space(_249909), top_str(_249909)], (10288 ^ _97764) ^ [_250079] : [10300 ^ _97764 : [(10301 ^ _97764) ^ [] : [-(element(10299 ^ [_250079], powerset(the_carrier(_250079))))], (10303 ^ _97764) ^ [] : [empty(10299 ^ [_250079])], (10305 ^ _97764) ^ [] : [-(closed_subset(10299 ^ [_250079], _250079))]], -(empty_carrier(_250079)), topological_space(_250079), top_str(_250079)], (10308 ^ _97764) ^ [] : [-(latt_str(10306 ^ []))], (10310 ^ _97764) ^ [] : [empty_carrier(10306 ^ [])], (10312 ^ _97764) ^ [] : [-(strict_latt_str(10306 ^ []))], (10314 ^ _97764) ^ [] : [-(join_commutative(10306 ^ []))], (10316 ^ _97764) ^ [] : [-(join_associative(10306 ^ []))], (10318 ^ _97764) ^ [] : [-(meet_commutative(10306 ^ []))], (10320 ^ _97764) ^ [] : [-(meet_associative(10306 ^ []))], (10322 ^ _97764) ^ [] : [-(meet_absorbing(10306 ^ []))], (10324 ^ _97764) ^ [] : [-(join_absorbing(10306 ^ []))], (10326 ^ _97764) ^ [] : [-(lattice(10306 ^ []))], (10328 ^ _97764) ^ [_250579, _250581, _250583, _250585] : [-(k10_filter_1(_250585, _250583, _250581, _250579) = ordered_pair(_250581, _250579)), -(empty_carrier(_250585)), lattice(_250585), latt_str(_250585), -(empty_carrier(_250583)), lattice(_250583), latt_str(_250583), element(_250581, the_carrier(_250585)), element(_250579, the_carrier(_250583))], (10362 ^ _97764) ^ [_251070, _251072, _251074, _251076] : [-(ordered_pair_as_product_element(_251076, _251074, _251072, _251070) = ordered_pair(_251072, _251070)), -(empty(_251076)), -(empty(_251074)), element(_251072, _251076), element(_251070, _251074)], (10380 ^ _97764) ^ [_251337] : [-(k1_pcomps_1(_251337) = powerset(_251337))], (10382 ^ _97764) ^ [_251364, _251366] : [relation(_251366), -(relation_restriction_as_relation_of(_251366, _251364) = relation_restriction(_251366, _251364))], (10388 ^ _97764) ^ [_251451, _251453, _251455, _251457] : [-(apply_on_structs(_251457, _251455, _251453, _251451) = apply(_251453, _251451)), -(empty_carrier(_251457)), one_sorted_str(_251457), -(empty_carrier(_251455)), one_sorted_str(_251455), function(_251453), quasi_total(_251453, the_carrier(_251457), the_carrier(_251455)), relation_of2(_251453, the_carrier(_251457), the_carrier(_251455)), element(_251451, the_carrier(_251457))], (10422 ^ _97764) ^ [_251960] : [-(inclusion_order(_251960) = inclusion_relation(_251960))], (10424 ^ _97764) ^ [_251987, _251989, _251991, _251993, _251995, _251997] : [-(apply_binary_as_element(_251997, _251995, _251993, _251991, _251989, _251987) = apply_binary(_251991, _251989, _251987)), -(empty(_251997)), -(empty(_251995)), function(_251991), quasi_total(_251991, cartesian_product2(_251997, _251995), _251993), relation_of2(_251991, cartesian_product2(_251997, _251995), _251993), element(_251989, _251997), element(_251987, _251995)], (10454 ^ _97764) ^ [_252470] : [-(k2_lattice3(_252470) = relation_of_lattice(_252470)), -(empty_carrier(_252470)), lattice(_252470), latt_str(_252470)], (10468 ^ _97764) ^ [_252650, _252652, _252654] : [-(unordered_pair_as_carrier_subset(_252654, _252652, _252650) = unordered_pair(_252652, _252650)), -(empty_carrier(_252654)), one_sorted_str(_252654), element(_252652, the_carrier(_252654)), element(_252650, the_carrier(_252654))], (10486 ^ _97764) ^ [_252912, _252914, _252916] : [-(join_commut(_252916, _252914, _252912) = join(_252916, _252914, _252912)), -(empty_carrier(_252916)), join_commutative(_252916), join_semilatt_str(_252916), element(_252914, the_carrier(_252916)), element(_252912, the_carrier(_252916))], (10508 ^ _97764) ^ [_253228, _253230, _253232] : [-(meet_commut(_253232, _253230, _253228) = meet(_253232, _253230, _253228)), -(empty_carrier(_253232)), meet_commutative(_253232), meet_semilatt_str(_253232), element(_253230, the_carrier(_253232)), element(_253228, the_carrier(_253232))], (10530 ^ _97764) ^ [_253544, _253546, _253548] : [relation_of2(_253544, _253548, _253546), -(relation_dom_as_subset(_253548, _253546, _253544) = relation_dom(_253544))], (10536 ^ _97764) ^ [_253637, _253639, _253641] : [-(subset_union2(_253641, _253639, _253637) = set_union2(_253639, _253637)), element(_253639, powerset(_253641)), element(_253637, powerset(_253641))], (10546 ^ _97764) ^ [_253792, _253794, _253796] : [relation_of2(_253792, _253796, _253794), -(relation_rng_as_subset(_253796, _253794, _253792) = relation_rng(_253792))], (10552 ^ _97764) ^ [_253885, _253887] : [element(_253885, powerset(powerset(_253887))), -(union_of_subsets(_253887, _253885) = union(_253885))], (10558 ^ _97764) ^ [_253980, _253982, _253984] : [-(subset_intersection2(_253984, _253982, _253980) = set_intersection2(_253982, _253980)), element(_253982, powerset(_253984)), element(_253980, powerset(_253984))], (10568 ^ _97764) ^ [_254135] : [-(identity_as_relation_of(_254135) = identity_relation(_254135))], (10570 ^ _97764) ^ [_254162, _254164] : [element(_254162, powerset(powerset(_254164))), -(meet_of_subsets(_254164, _254162) = set_meet(_254162))], (10576 ^ _97764) ^ [_254257, _254259, _254261] : [-(subset_difference(_254261, _254259, _254257) = set_difference(_254259, _254257)), element(_254259, powerset(_254261)), element(_254257, powerset(_254261))], (10586 ^ _97764) ^ [_254412, _254414, _254416, _254418] : [-(apply_as_element(_254418, _254416, _254414, _254412) = apply(_254414, _254412)), -(empty(_254418)), function(_254414), quasi_total(_254414, _254418, _254416), relation_of2(_254414, _254418, _254416), element(_254412, _254418)], (10608 ^ _97764) ^ [_254736, _254738, _254740, _254742] : [relation_of2(_254738, _254742, _254740), -(relation_dom_restr_as_relation_of(_254742, _254740, _254738, _254736) = relation_dom_restriction(_254738, _254736))], (10614 ^ _97764) ^ [_254853, _254855, _254857] : [relation_of2_as_subset(_254853, _254857, _254855), -(relation_of2(_254853, _254857, _254855))], (10620 ^ _97764) ^ [_254932, _254934, _254936] : [relation_of2(_254932, _254936, _254934), -(relation_of2_as_subset(_254932, _254936, _254934))], (10626 ^ _97764) ^ [_255017, _255019] : [ordinal(_255019), ordinal(_255017), 10633 ^ _97764 : [(10634 ^ _97764) ^ [] : [ordinal_subset(_255019, _255017), -(subset(_255019, _255017))], (10640 ^ _97764) ^ [] : [subset(_255019, _255017), -(ordinal_subset(_255019, _255017))]]], (10646 ^ _97764) ^ [_255289, _255291] : [equipotent(_255291, _255289), -(are_equipotent(_255291, _255289))], (10652 ^ _97764) ^ [_255362, _255364] : [are_equipotent(_255364, _255362), -(equipotent(_255364, _255362))], (10658 ^ _97764) ^ [_255441, _255443, _255445] : [10685 ^ _97764 : [(10686 ^ _97764) ^ [] : [below_refl(_255445, _255443, _255441), -(below(_255445, _255443, _255441))], (10692 ^ _97764) ^ [] : [below(_255445, _255443, _255441), -(below_refl(_255445, _255443, _255441))]], -(empty_carrier(_255445)), meet_commutative(_255445), meet_absorbing(_255445), join_absorbing(_255445), latt_str(_255445), element(_255443, the_carrier(_255445)), element(_255441, the_carrier(_255445))], (10698 ^ _97764) ^ [_255985, _255987, _255989] : [10717 ^ _97764 : [(10718 ^ _97764) ^ [] : [related_reflexive(_255989, _255987, _255985), -(related(_255989, _255987, _255985))], (10724 ^ _97764) ^ [] : [related(_255989, _255987, _255985), -(related_reflexive(_255989, _255987, _255985))]], -(empty_carrier(_255989)), reflexive_relstr(_255989), rel_str(_255989), element(_255987, the_carrier(_255989)), element(_255985, the_carrier(_255989))], (10730 ^ _97764) ^ [_256425, _256427] : [-(ordinal_subset(_256427, _256427)), ordinal(_256427), ordinal(_256425)], (10740 ^ _97764) ^ [_256550, _256552] : [-(subset(_256552, _256552))], (10742 ^ _97764) ^ [_256575, _256577] : [-(equipotent(_256577, _256577))], (10744 ^ _97764) ^ [_256600, _256602, _256604] : [-(below_refl(_256604, _256602, _256602)), -(empty_carrier(_256604)), meet_commutative(_256604), meet_absorbing(_256604), join_absorbing(_256604), latt_str(_256604), element(_256602, the_carrier(_256604)), element(_256600, the_carrier(_256604))], (10774 ^ _97764) ^ [_257006, _257008, _257010] : [-(related_reflexive(_257010, _257008, _257008)), -(empty_carrier(_257010)), reflexive_relstr(_257010), rel_str(_257010), element(_257008, the_carrier(_257010)), element(_257006, the_carrier(_257010))], (10796 ^ _97764) ^ [_257308, _257310] : [-(empty(_257310)), relation(_257308), 10808 ^ _97764 : [(10835 ^ _97764) ^ [] : [10806 ^ [_257308, _257310] = 10807 ^ [_257308, _257310]], (10809 ^ _97764) ^ [] : [-(in(10805 ^ [_257308, _257310], _257310))], (10812 ^ _97764) ^ [] : [-(10805 ^ [_257308, _257310] = 10810 ^ [_257308, _257310])], (10814 ^ _97764) ^ [] : [-(in(10806 ^ [_257308, _257310], 10810 ^ [_257308, _257310]))], (10816 ^ _97764) ^ [_257911] : [in(_257911, 10810 ^ [_257308, _257310]), -(in(ordered_pair(10806 ^ [_257308, _257310], _257911), _257308))], (10822 ^ _97764) ^ [] : [-(in(10805 ^ [_257308, _257310], _257310))], (10825 ^ _97764) ^ [] : [-(10805 ^ [_257308, _257310] = 10823 ^ [_257308, _257310])], (10827 ^ _97764) ^ [] : [-(in(10807 ^ [_257308, _257310], 10823 ^ [_257308, _257310]))], (10829 ^ _97764) ^ [_258169] : [in(_258169, 10823 ^ [_257308, _257310]), -(in(ordered_pair(10807 ^ [_257308, _257310], _258169), _257308))]], 10837 ^ _97764 : [(10838 ^ _97764) ^ [] : [-(relation(10836 ^ [_257308, _257310]))], (10840 ^ _97764) ^ [] : [-(function(10836 ^ [_257308, _257310]))], (10842 ^ _97764) ^ [_258479, _258481] : [in(ordered_pair(_258481, _258479), 10836 ^ [_257308, _257310]), 10845 ^ _97764 : [(10846 ^ _97764) ^ [] : [-(in(_258481, _257310))], (10848 ^ _97764) ^ [] : [-(in(_258481, _257310))], (10851 ^ _97764) ^ [] : [-(_258481 = 10849 ^ [_257308, _257310, _258479, _258481])], (10853 ^ _97764) ^ [] : [-(in(_258479, 10849 ^ [_257308, _257310, _258479, _258481]))], (10855 ^ _97764) ^ [_258739] : [in(_258739, 10849 ^ [_257308, _257310, _258479, _258481]), -(in(ordered_pair(_258479, _258739), _257308))]]], (10861 ^ _97764) ^ [_258858, _258860] : [-(in(ordered_pair(_258860, _258858), 10836 ^ [_257308, _257310])), in(_258860, _257310), in(_258860, _257310), 10870 ^ _97764 : [(10871 ^ _97764) ^ [_259040] : [_258860 = _259040, in(_258858, _259040), 10879 ^ _97764 : [(10880 ^ _97764) ^ [] : [-(in(10878 ^ [_257308, _257310, _258858, _258860, _259040], _259040))], (10882 ^ _97764) ^ [] : [in(ordered_pair(_258858, 10878 ^ [_257308, _257310, _258858, _258860, _259040]), _257308)]]]]]]], (10886 ^ _97764) ^ [_259328] : [10890 ^ _97764 : [(10891 ^ _97764) ^ [] : [-(in(10887 ^ [_259328], _259328))], (10893 ^ _97764) ^ [] : [-(10888 ^ [_259328] = singleton(10887 ^ [_259328]))], (10895 ^ _97764) ^ [] : [-(in(10887 ^ [_259328], _259328))], (10897 ^ _97764) ^ [] : [-(10889 ^ [_259328] = singleton(10887 ^ [_259328]))], (10899 ^ _97764) ^ [] : [10888 ^ [_259328] = 10889 ^ [_259328]]], 10901 ^ _97764 : [(10902 ^ _97764) ^ [] : [-(relation(10900 ^ [_259328]))], (10904 ^ _97764) ^ [] : [-(function(10900 ^ [_259328]))], (10906 ^ _97764) ^ [_259726, _259728] : [in(ordered_pair(_259728, _259726), 10900 ^ [_259328]), 10909 ^ _97764 : [(10910 ^ _97764) ^ [] : [-(in(_259728, _259328))], (10912 ^ _97764) ^ [] : [-(in(_259728, _259328))], (10914 ^ _97764) ^ [] : [-(_259726 = singleton(_259728))]]], (10916 ^ _97764) ^ [_259871, _259873] : [-(in(ordered_pair(_259873, _259871), 10900 ^ [_259328])), in(_259873, _259328), in(_259873, _259328), _259871 = singleton(_259873)]]], (10930 ^ _97764) ^ [_260090, _260092] : [one_sorted_str(_260092), element(_260090, powerset(powerset(the_carrier(_260092)))), 10942 ^ _97764 : [(10967 ^ _97764) ^ [] : [10940 ^ [_260090, _260092] = 10941 ^ [_260090, _260092]], (10943 ^ _97764) ^ [] : [-(in(10939 ^ [_260090, _260092], complements_of_subsets(the_carrier(_260092), _260090)))], (10945 ^ _97764) ^ [_260590] : [element(_260590, powerset(the_carrier(_260092))), _260590 = 10939 ^ [_260090, _260092], -(10940 ^ [_260090, _260092] = subset_complement(the_carrier(_260092), _260590))], (10955 ^ _97764) ^ [] : [-(in(10939 ^ [_260090, _260092], complements_of_subsets(the_carrier(_260092), _260090)))], (10957 ^ _97764) ^ [_260798] : [element(_260798, powerset(the_carrier(_260092))), _260798 = 10939 ^ [_260090, _260092], -(10941 ^ [_260090, _260092] = subset_complement(the_carrier(_260092), _260798))]], 10969 ^ _97764 : [(10970 ^ _97764) ^ [] : [-(relation(10968 ^ [_260090, _260092]))], (10972 ^ _97764) ^ [] : [-(function(10968 ^ [_260090, _260092]))], (10974 ^ _97764) ^ [_261171, _261173] : [in(ordered_pair(_261173, _261171), 10968 ^ [_260090, _260092]), 10977 ^ _97764 : [(10978 ^ _97764) ^ [] : [-(in(_261173, complements_of_subsets(the_carrier(_260092), _260090)))], (10980 ^ _97764) ^ [] : [-(in(_261173, complements_of_subsets(the_carrier(_260092), _260090)))], (10982 ^ _97764) ^ [_261347] : [element(_261347, powerset(the_carrier(_260092))), _261347 = _261173, -(_261171 = subset_complement(the_carrier(_260092), _261347))]]], (10992 ^ _97764) ^ [_261510, _261512] : [-(in(ordered_pair(_261512, _261510), 10968 ^ [_260090, _260092])), in(_261512, complements_of_subsets(the_carrier(_260092), _260090)), in(_261512, complements_of_subsets(the_carrier(_260092), _260090)), 11002 ^ _97764 : [(11003 ^ _97764) ^ [] : [-(element(11001 ^ [_260090, _260092, _261510, _261512], powerset(the_carrier(_260092))))], (11005 ^ _97764) ^ [] : [-(11001 ^ [_260090, _260092, _261510, _261512] = _261512)], (11007 ^ _97764) ^ [] : [_261510 = subset_complement(the_carrier(_260092), 11001 ^ [_260090, _260092, _261510, _261512])]]]]], (11011 ^ _97764) ^ [_261904, _261906] : [one_sorted_str(_261906), element(_261904, powerset(powerset(the_carrier(_261906)))), 11023 ^ _97764 : [(11048 ^ _97764) ^ [] : [11021 ^ [_261904, _261906] = 11022 ^ [_261904, _261906]], (11024 ^ _97764) ^ [] : [-(in(11020 ^ [_261904, _261906], _261904))], (11026 ^ _97764) ^ [_262369] : [element(_262369, powerset(the_carrier(_261906))), _262369 = 11020 ^ [_261904, _261906], -(11021 ^ [_261904, _261906] = subset_complement(the_carrier(_261906), _262369))], (11036 ^ _97764) ^ [] : [-(in(11020 ^ [_261904, _261906], _261904))], (11038 ^ _97764) ^ [_262572] : [element(_262572, powerset(the_carrier(_261906))), _262572 = 11020 ^ [_261904, _261906], -(11022 ^ [_261904, _261906] = subset_complement(the_carrier(_261906), _262572))]], 11050 ^ _97764 : [(11051 ^ _97764) ^ [] : [-(relation(11049 ^ [_261904, _261906]))], (11053 ^ _97764) ^ [] : [-(function(11049 ^ [_261904, _261906]))], (11055 ^ _97764) ^ [_262935, _262937] : [in(ordered_pair(_262937, _262935), 11049 ^ [_261904, _261906]), 11058 ^ _97764 : [(11059 ^ _97764) ^ [] : [-(in(_262937, _261904))], (11061 ^ _97764) ^ [] : [-(in(_262937, _261904))], (11063 ^ _97764) ^ [_263091] : [element(_263091, powerset(the_carrier(_261906))), _263091 = _262937, -(_262935 = subset_complement(the_carrier(_261906), _263091))]]], (11073 ^ _97764) ^ [_263254, _263256] : [-(in(ordered_pair(_263256, _263254), 11049 ^ [_261904, _261906])), in(_263256, _261904), in(_263256, _261904), 11083 ^ _97764 : [(11084 ^ _97764) ^ [] : [-(element(11082 ^ [_261904, _261906, _263254, _263256], powerset(the_carrier(_261906))))], (11086 ^ _97764) ^ [] : [-(11082 ^ [_261904, _261906, _263254, _263256] = _263256)], (11088 ^ _97764) ^ [] : [_263254 = subset_complement(the_carrier(_261906), 11082 ^ [_261904, _261906, _263254, _263256])]]]]], (11092 ^ _97764) ^ [_263628] : [11093 ^ _97764 : [(11094 ^ _97764) ^ [_263697] : [ordinal(_263697), in(_263697, _263628)]], 11100 ^ _97764 : [(11101 ^ _97764) ^ [] : [-(ordinal(11099 ^ [_263628]))], (11103 ^ _97764) ^ [] : [-(in(11099 ^ [_263628], _263628))], (11105 ^ _97764) ^ [_263854] : [ordinal(_263854), in(_263854, _263628), -(ordinal_subset(11099 ^ [_263628], _263854))]]], (11115 ^ _97764) ^ [] : [11242 ^ _97764 : [(11243 ^ _97764) ^ [_266259] : [ordinal(_266259), in(_266259, omega), 11250 ^ _97764 : [(11251 ^ _97764) ^ [_266410] : [element(_266410, powerset(powerset(_266259))), -(_266410 = empty_set), 11259 ^ _97764 : [(11260 ^ _97764) ^ [] : [-(in(11258 ^ [_266259, _266410], _266410))], (11262 ^ _97764) ^ [_266612] : [-(_266612 = 11258 ^ [_266259, _266410]), in(_266612, _266410), subset(11258 ^ [_266259, _266410], _266612)]]]]]], 11118 ^ _97764 : [(11119 ^ _97764) ^ [] : [-(in(empty_set, omega))], (11122 ^ _97764) ^ [] : [-(element(11120 ^ [], powerset(powerset(empty_set))))], (11124 ^ _97764) ^ [] : [11120 ^ [] = empty_set], (11126 ^ _97764) ^ [_264145] : [in(_264145, 11120 ^ []), 11130 ^ _97764 : [(11131 ^ _97764) ^ [] : [-(in(11129 ^ [_264145], 11120 ^ []))], (11133 ^ _97764) ^ [] : [-(subset(_264145, 11129 ^ [_264145]))], (11135 ^ _97764) ^ [] : [11129 ^ [_264145] = _264145]]]], 11139 ^ _97764 : [(11140 ^ _97764) ^ [] : [-(ordinal(11138 ^ []))], (11167 ^ _97764) ^ [] : [-(in(succ(11138 ^ []), omega))], (11170 ^ _97764) ^ [] : [-(element(11168 ^ [], powerset(powerset(succ(11138 ^ [])))))], (11172 ^ _97764) ^ [] : [11168 ^ [] = empty_set], (11174 ^ _97764) ^ [_264985] : [in(_264985, 11168 ^ []), 11178 ^ _97764 : [(11179 ^ _97764) ^ [] : [-(in(11177 ^ [_264985], 11168 ^ []))], (11181 ^ _97764) ^ [] : [-(subset(_264985, 11177 ^ [_264985]))], (11183 ^ _97764) ^ [] : [11177 ^ [_264985] = _264985]]], (11142 ^ _97764) ^ [] : [in(11138 ^ [], omega), 11145 ^ _97764 : [(11146 ^ _97764) ^ [_264532] : [element(_264532, powerset(powerset(11138 ^ []))), -(_264532 = empty_set), 11154 ^ _97764 : [(11155 ^ _97764) ^ [] : [-(in(11153 ^ [_264532], _264532))], (11157 ^ _97764) ^ [_264718] : [-(_264718 = 11153 ^ [_264532]), in(_264718, _264532), subset(11153 ^ [_264532], _264718)]]]]]], 11185 ^ _97764 : [(11186 ^ _97764) ^ [] : [-(ordinal(11184 ^ []))], (11223 ^ _97764) ^ [] : [11184 ^ [] = empty_set], (11225 ^ _97764) ^ [] : [-(in(11184 ^ [], omega))], (11228 ^ _97764) ^ [] : [-(element(11226 ^ [], powerset(powerset(11184 ^ []))))], (11230 ^ _97764) ^ [] : [11226 ^ [] = empty_set], (11232 ^ _97764) ^ [_266073] : [in(_266073, 11226 ^ []), 11236 ^ _97764 : [(11237 ^ _97764) ^ [] : [-(in(11235 ^ [_266073], 11226 ^ []))], (11239 ^ _97764) ^ [] : [-(subset(_266073, 11235 ^ [_266073]))], (11241 ^ _97764) ^ [] : [11235 ^ [_266073] = _266073]]], (11188 ^ _97764) ^ [] : [-(being_limit_ordinal(11184 ^ []))], (11190 ^ _97764) ^ [_265363] : [ordinal(_265363), in(_265363, 11184 ^ []), in(_265363, omega), 11201 ^ _97764 : [(11202 ^ _97764) ^ [_265562] : [element(_265562, powerset(powerset(_265363))), -(_265562 = empty_set), 11210 ^ _97764 : [(11211 ^ _97764) ^ [] : [-(in(11209 ^ [_265363, _265562], _265562))], (11213 ^ _97764) ^ [_265764] : [-(_265764 = 11209 ^ [_265363, _265562]), in(_265764, _265562), subset(11209 ^ [_265363, _265562], _265764)]]]]]]], (11272 ^ _97764) ^ [_266791, _266793, _266795] : [relation(_266793), relation(_266791), function(_266791), 11284 ^ _97764 : [(11285 ^ _97764) ^ [] : [-(relation(11283 ^ [_266791, _266793, _266795]))], (11287 ^ _97764) ^ [_267095, _267097] : [in(ordered_pair(_267097, _267095), 11283 ^ [_266791, _266793, _266795]), 11290 ^ _97764 : [(11291 ^ _97764) ^ [] : [-(in(_267097, _266795))], (11293 ^ _97764) ^ [] : [-(in(_267095, _266795))], (11295 ^ _97764) ^ [] : [-(in(ordered_pair(apply(_266791, _267097), apply(_266791, _267095)), _266793))]]], (11297 ^ _97764) ^ [_267266, _267268] : [-(in(ordered_pair(_267268, _267266), 11283 ^ [_266791, _266793, _266795])), in(_267268, _266795), in(_267266, _266795), in(ordered_pair(apply(_266791, _267268), apply(_266791, _267266)), _266793)]]], (11311 ^ _97764) ^ [_267519, _267521] : [-(empty(_267521)), relation(_267519), 11323 ^ _97764 : [(11350 ^ _97764) ^ [] : [11321 ^ [_267519, _267521] = 11322 ^ [_267519, _267521]], (11324 ^ _97764) ^ [] : [-(in(11320 ^ [_267519, _267521], _267521))], (11327 ^ _97764) ^ [] : [-(11320 ^ [_267519, _267521] = 11325 ^ [_267519, _267521])], (11329 ^ _97764) ^ [] : [-(in(11321 ^ [_267519, _267521], 11325 ^ [_267519, _267521]))], (11331 ^ _97764) ^ [_268109] : [in(_268109, 11325 ^ [_267519, _267521]), -(in(ordered_pair(11321 ^ [_267519, _267521], _268109), _267519))], (11337 ^ _97764) ^ [] : [-(in(11320 ^ [_267519, _267521], _267521))], (11340 ^ _97764) ^ [] : [-(11320 ^ [_267519, _267521] = 11338 ^ [_267519, _267521])], (11342 ^ _97764) ^ [] : [-(in(11322 ^ [_267519, _267521], 11338 ^ [_267519, _267521]))], (11344 ^ _97764) ^ [_268367] : [in(_268367, 11338 ^ [_267519, _267521]), -(in(ordered_pair(11322 ^ [_267519, _267521], _268367), _267519))]], 11352 ^ _97764 : [(11353 ^ _97764) ^ [_268604] : [in(_268604, 11351 ^ [_267519, _267521]), 11357 ^ _97764 : [(11358 ^ _97764) ^ [] : [-(in(11356 ^ [_267519, _267521, _268604], _267521))], (11360 ^ _97764) ^ [] : [-(in(11356 ^ [_267519, _267521, _268604], _267521))], (11363 ^ _97764) ^ [] : [-(11356 ^ [_267519, _267521, _268604] = 11361 ^ [_267519, _267521, _268604])], (11365 ^ _97764) ^ [] : [-(in(_268604, 11361 ^ [_267519, _267521, _268604]))], (11367 ^ _97764) ^ [_268935] : [in(_268935, 11361 ^ [_267519, _267521, _268604]), -(in(ordered_pair(_268604, _268935), _267519))]]], (11373 ^ _97764) ^ [_269048] : [-(in(_269048, 11351 ^ [_267519, _267521])), 11374 ^ _97764 : [(11375 ^ _97764) ^ [_269134] : [in(_269134, _267521), in(_269134, _267521), 11382 ^ _97764 : [(11383 ^ _97764) ^ [_269275] : [_269134 = _269275, in(_269048, _269275), 11391 ^ _97764 : [(11392 ^ _97764) ^ [] : [-(in(11390 ^ [_267519, _267521, _269048, _269134, _269275], _269275))], (11394 ^ _97764) ^ [] : [in(ordered_pair(_269048, 11390 ^ [_267519, _267521, _269048, _269134, _269275]), _267519)]]]]]]]]], (11398 ^ _97764) ^ [_269558, _269560] : [-(empty(_269560)), relation(_269558), 11405 ^ _97764 : [(11406 ^ _97764) ^ [_269915] : [11410 ^ _97764 : [(11449 ^ _97764) ^ [] : [11408 ^ [_269558, _269560, _269915] = 11409 ^ [_269558, _269560, _269915]], (11411 ^ _97764) ^ [] : [-(11407 ^ [_269558, _269560, _269915] = 11408 ^ [_269558, _269560, _269915])], (11415 ^ _97764) ^ [] : [-(ordered_pair(11412 ^ [_269558, _269560, _269915], 11413 ^ [_269558, _269560, _269915]) = 11408 ^ [_269558, _269560, _269915])], (11417 ^ _97764) ^ [] : [-(in(11412 ^ [_269558, _269560, _269915], _269560))], (11420 ^ _97764) ^ [] : [-(11412 ^ [_269558, _269560, _269915] = 11418 ^ [_269558, _269560, _269915])], (11422 ^ _97764) ^ [] : [-(in(11413 ^ [_269558, _269560, _269915], 11418 ^ [_269558, _269560, _269915]))], (11424 ^ _97764) ^ [_270710] : [in(_270710, 11418 ^ [_269558, _269560, _269915]), -(in(ordered_pair(11413 ^ [_269558, _269560, _269915], _270710), _269558))], (11430 ^ _97764) ^ [] : [-(11407 ^ [_269558, _269560, _269915] = 11409 ^ [_269558, _269560, _269915])], (11434 ^ _97764) ^ [] : [-(ordered_pair(11431 ^ [_269558, _269560, _269915], 11432 ^ [_269558, _269560, _269915]) = 11409 ^ [_269558, _269560, _269915])], (11436 ^ _97764) ^ [] : [-(in(11431 ^ [_269558, _269560, _269915], _269560))], (11439 ^ _97764) ^ [] : [-(11431 ^ [_269558, _269560, _269915] = 11437 ^ [_269558, _269560, _269915])], (11441 ^ _97764) ^ [] : [-(in(11432 ^ [_269558, _269560, _269915], 11437 ^ [_269558, _269560, _269915]))], (11443 ^ _97764) ^ [_271160] : [in(_271160, 11437 ^ [_269558, _269560, _269915]), -(in(ordered_pair(11432 ^ [_269558, _269560, _269915], _271160), _269558))]], 11451 ^ _97764 : [(11452 ^ _97764) ^ [_271449] : [in(_271449, 11450 ^ [_269558, _269560, _269915]), 11456 ^ _97764 : [(11457 ^ _97764) ^ [] : [-(in(11455 ^ [_269558, _269560, _269915, _271449], cartesian_product2(_269560, _269915)))], (11459 ^ _97764) ^ [] : [-(11455 ^ [_269558, _269560, _269915, _271449] = _271449)], (11463 ^ _97764) ^ [] : [-(ordered_pair(11460 ^ [_269558, _269560, _269915, _271449], 11461 ^ [_269558, _269560, _269915, _271449]) = _271449)], (11465 ^ _97764) ^ [] : [-(in(11460 ^ [_269558, _269560, _269915, _271449], _269560))], (11468 ^ _97764) ^ [] : [-(11460 ^ [_269558, _269560, _269915, _271449] = 11466 ^ [_269558, _269560, _269915, _271449])], (11470 ^ _97764) ^ [] : [-(in(11461 ^ [_269558, _269560, _269915, _271449], 11466 ^ [_269558, _269560, _269915, _271449]))], (11472 ^ _97764) ^ [_272047] : [in(_272047, 11466 ^ [_269558, _269560, _269915, _271449]), -(in(ordered_pair(11461 ^ [_269558, _269560, _269915, _271449], _272047), _269558))]]], (11478 ^ _97764) ^ [_272192] : [-(in(_272192, 11450 ^ [_269558, _269560, _269915])), 11479 ^ _97764 : [(11480 ^ _97764) ^ [_272310] : [in(_272310, cartesian_product2(_269560, _269915)), _272310 = _272192, 11487 ^ _97764 : [(11488 ^ _97764) ^ [_272486, _272488] : [ordered_pair(_272488, _272486) = _272192, in(_272488, _269560), 11495 ^ _97764 : [(11496 ^ _97764) ^ [_272645] : [_272488 = _272645, in(_272486, _272645), 11504 ^ _97764 : [(11505 ^ _97764) ^ [] : [-(in(11503 ^ [_269558, _269560, _269915, _272192, _272310, _272486, _272488, _272645], _272645))], (11507 ^ _97764) ^ [] : [in(ordered_pair(_272486, 11503 ^ [_269558, _269560, _269915, _272192, _272310, _272486, _272488, _272645]), _269558)]]]]]]]]]]]]], (11511 ^ _97764) ^ [_272968, _272970, _272972] : [-(empty_carrier(_272972)), transitive_relstr(_272972), rel_str(_272972), element(_272970, powerset(the_carrier(_272972))), finite(_272968), element(_272968, powerset(_272970)), 11539 ^ _97764 : [(11540 ^ _97764) ^ [] : [-(11536 ^ [_272968, _272970, _272972] = 11537 ^ [_272968, _272970, _272972])], (11543 ^ _97764) ^ [] : [-(11541 ^ [_272968, _272970, _272972] = 11537 ^ [_272968, _272970, _272972])], (11546 ^ _97764) ^ [] : [-(element(11544 ^ [_272968, _272970, _272972], the_carrier(_272972)))], (11548 ^ _97764) ^ [] : [-(in(11544 ^ [_272968, _272970, _272972], _272970))], (11550 ^ _97764) ^ [] : [-(relstr_set_smaller(_272972, 11541 ^ [_272968, _272970, _272972], 11544 ^ [_272968, _272970, _272972]))], (11552 ^ _97764) ^ [] : [-(11536 ^ [_272968, _272970, _272972] = 11538 ^ [_272968, _272970, _272972])], (11555 ^ _97764) ^ [] : [-(11553 ^ [_272968, _272970, _272972] = 11538 ^ [_272968, _272970, _272972])], (11558 ^ _97764) ^ [] : [-(element(11556 ^ [_272968, _272970, _272972], the_carrier(_272972)))], (11560 ^ _97764) ^ [] : [-(in(11556 ^ [_272968, _272970, _272972], _272970))], (11562 ^ _97764) ^ [] : [-(relstr_set_smaller(_272972, 11553 ^ [_272968, _272970, _272972], 11556 ^ [_272968, _272970, _272972]))], (11564 ^ _97764) ^ [] : [11537 ^ [_272968, _272970, _272972] = 11538 ^ [_272968, _272970, _272972]]], 11566 ^ _97764 : [(11567 ^ _97764) ^ [_273995] : [in(_273995, 11565 ^ [_272968, _272970, _272972]), 11571 ^ _97764 : [(11572 ^ _97764) ^ [] : [-(in(11570 ^ [_272968, _272970, _272972, _273995], powerset(_272968)))], (11574 ^ _97764) ^ [] : [-(11570 ^ [_272968, _272970, _272972, _273995] = _273995)], (11577 ^ _97764) ^ [] : [-(11575 ^ [_272968, _272970, _272972, _273995] = _273995)], (11580 ^ _97764) ^ [] : [-(element(11578 ^ [_272968, _272970, _272972, _273995], the_carrier(_272972)))], (11582 ^ _97764) ^ [] : [-(in(11578 ^ [_272968, _272970, _272972, _273995], _272970))], (11584 ^ _97764) ^ [] : [-(relstr_set_smaller(_272972, 11575 ^ [_272968, _272970, _272972, _273995], 11578 ^ [_272968, _272970, _272972, _273995]))]]], (11586 ^ _97764) ^ [_274314] : [-(in(_274314, 11565 ^ [_272968, _272970, _272972])), 11587 ^ _97764 : [(11588 ^ _97764) ^ [_274406] : [in(_274406, powerset(_272968)), _274406 = _274314, 11595 ^ _97764 : [(11596 ^ _97764) ^ [_274555] : [_274555 = _274314, 11599 ^ _97764 : [(11600 ^ _97764) ^ [_274635] : [element(_274635, the_carrier(_272972)), in(_274635, _272970), relstr_set_smaller(_272972, _274555, _274635)]]]]]]]]], (11612 ^ _97764) ^ [_274856] : [11616 ^ _97764 : [(11617 ^ _97764) ^ [] : [-(in(11613 ^ [_274856], _274856))], (11619 ^ _97764) ^ [] : [-(11614 ^ [_274856] = singleton(11613 ^ [_274856]))], (11621 ^ _97764) ^ [] : [-(in(11613 ^ [_274856], _274856))], (11623 ^ _97764) ^ [] : [-(11615 ^ [_274856] = singleton(11613 ^ [_274856]))], (11625 ^ _97764) ^ [] : [11614 ^ [_274856] = 11615 ^ [_274856]]], 11627 ^ _97764 : [(11628 ^ _97764) ^ [_275172] : [in(_275172, 11626 ^ [_274856]), 11632 ^ _97764 : [(11633 ^ _97764) ^ [] : [-(in(11631 ^ [_274856, _275172], _274856))], (11635 ^ _97764) ^ [] : [-(in(11631 ^ [_274856, _275172], _274856))], (11637 ^ _97764) ^ [] : [-(_275172 = singleton(11631 ^ [_274856, _275172]))]]], (11639 ^ _97764) ^ [_275335] : [-(in(_275335, 11626 ^ [_274856])), 11640 ^ _97764 : [(11641 ^ _97764) ^ [_275388] : [in(_275388, _274856), in(_275388, _274856), _275335 = singleton(_275388)]]]]], (11653 ^ _97764) ^ [_275565, _275567] : [11657 ^ _97764 : [(11658 ^ _97764) ^ [] : [-(11654 ^ [_275565, _275567] = 11655 ^ [_275565, _275567])], (11662 ^ _97764) ^ [] : [-(ordered_pair(11659 ^ [_275565, _275567], 11660 ^ [_275565, _275567]) = 11655 ^ [_275565, _275567])], (11664 ^ _97764) ^ [] : [-(in(11659 ^ [_275565, _275567], _275567))], (11666 ^ _97764) ^ [] : [-(11660 ^ [_275565, _275567] = singleton(11659 ^ [_275565, _275567]))], (11668 ^ _97764) ^ [] : [-(11654 ^ [_275565, _275567] = 11656 ^ [_275565, _275567])], (11672 ^ _97764) ^ [] : [-(ordered_pair(11669 ^ [_275565, _275567], 11670 ^ [_275565, _275567]) = 11656 ^ [_275565, _275567])], (11674 ^ _97764) ^ [] : [-(in(11669 ^ [_275565, _275567], _275567))], (11676 ^ _97764) ^ [] : [-(11670 ^ [_275565, _275567] = singleton(11669 ^ [_275565, _275567]))], (11678 ^ _97764) ^ [] : [11655 ^ [_275565, _275567] = 11656 ^ [_275565, _275567]]], 11680 ^ _97764 : [(11681 ^ _97764) ^ [_276168] : [in(_276168, 11679 ^ [_275565, _275567]), 11685 ^ _97764 : [(11686 ^ _97764) ^ [] : [-(in(11684 ^ [_275565, _275567, _276168], cartesian_product2(_275567, _275565)))], (11688 ^ _97764) ^ [] : [-(11684 ^ [_275565, _275567, _276168] = _276168)], (11692 ^ _97764) ^ [] : [-(ordered_pair(11689 ^ [_275565, _275567, _276168], 11690 ^ [_275565, _275567, _276168]) = _276168)], (11694 ^ _97764) ^ [] : [-(in(11689 ^ [_275565, _275567, _276168], _275567))], (11696 ^ _97764) ^ [] : [-(11690 ^ [_275565, _275567, _276168] = singleton(11689 ^ [_275565, _275567, _276168]))]]], (11698 ^ _97764) ^ [_276449] : [-(in(_276449, 11679 ^ [_275565, _275567])), 11699 ^ _97764 : [(11700 ^ _97764) ^ [_276534] : [in(_276534, cartesian_product2(_275567, _275565)), _276534 = _276449, 11707 ^ _97764 : [(11708 ^ _97764) ^ [_276677, _276679] : [ordered_pair(_276679, _276677) = _276449, in(_276679, _275567), _276677 = singleton(_276679)]]]]]]], (11720 ^ _97764) ^ [_276880] : [ordinal(_276880), 11728 ^ _97764 : [(11793 ^ _97764) ^ [] : [11726 ^ [_276880] = 11727 ^ [_276880]], (11729 ^ _97764) ^ [] : [-(11725 ^ [_276880] = 11726 ^ [_276880])], (11732 ^ _97764) ^ [] : [-(ordinal(11730 ^ [_276880]))], (11734 ^ _97764) ^ [] : [-(11726 ^ [_276880] = 11730 ^ [_276880])], (11736 ^ _97764) ^ [] : [in(11730 ^ [_276880], omega), 11739 ^ _97764 : [(11740 ^ _97764) ^ [_277689] : [element(_277689, powerset(powerset(11730 ^ [_276880]))), -(_277689 = empty_set), 11748 ^ _97764 : [(11749 ^ _97764) ^ [] : [-(in(11747 ^ [_276880, _277689], _277689))], (11751 ^ _97764) ^ [_277901] : [-(_277901 = 11747 ^ [_276880, _277689]), in(_277901, _277689), subset(11747 ^ [_276880, _277689], _277901)]]]]], (11761 ^ _97764) ^ [] : [-(11725 ^ [_276880] = 11727 ^ [_276880])], (11764 ^ _97764) ^ [] : [-(ordinal(11762 ^ [_276880]))], (11766 ^ _97764) ^ [] : [-(11727 ^ [_276880] = 11762 ^ [_276880])], (11768 ^ _97764) ^ [] : [in(11762 ^ [_276880], omega), 11771 ^ _97764 : [(11772 ^ _97764) ^ [_278289] : [element(_278289, powerset(powerset(11762 ^ [_276880]))), -(_278289 = empty_set), 11780 ^ _97764 : [(11781 ^ _97764) ^ [] : [-(in(11779 ^ [_276880, _278289], _278289))], (11783 ^ _97764) ^ [_278501] : [-(_278501 = 11779 ^ [_276880, _278289]), in(_278501, _278289), subset(11779 ^ [_276880, _278289], _278501)]]]]]], 11795 ^ _97764 : [(11796 ^ _97764) ^ [_278840] : [in(_278840, 11794 ^ [_276880]), 11800 ^ _97764 : [(11801 ^ _97764) ^ [] : [-(in(11799 ^ [_276880, _278840], succ(_276880)))], (11803 ^ _97764) ^ [] : [-(11799 ^ [_276880, _278840] = _278840)], (11806 ^ _97764) ^ [] : [-(ordinal(11804 ^ [_276880, _278840]))], (11808 ^ _97764) ^ [] : [-(_278840 = 11804 ^ [_276880, _278840])], (11810 ^ _97764) ^ [] : [in(11804 ^ [_276880, _278840], omega), 11813 ^ _97764 : [(11814 ^ _97764) ^ [_279334] : [element(_279334, powerset(powerset(11804 ^ [_276880, _278840]))), -(_279334 = empty_set), 11822 ^ _97764 : [(11823 ^ _97764) ^ [] : [-(in(11821 ^ [_276880, _278840, _279334], _279334))], (11825 ^ _97764) ^ [_279558] : [-(_279558 = 11821 ^ [_276880, _278840, _279334]), in(_279558, _279334), subset(11821 ^ [_276880, _278840, _279334], _279558)]]]]]]], (11835 ^ _97764) ^ [_279751] : [-(in(_279751, 11794 ^ [_276880])), 11836 ^ _97764 : [(11837 ^ _97764) ^ [_279881] : [in(_279881, succ(_276880)), _279881 = _279751, 11844 ^ _97764 : [(11845 ^ _97764) ^ [_280068] : [ordinal(_280068), _279751 = _280068, 11852 ^ _97764 : [(11853 ^ _97764) ^ [] : [-(in(_280068, omega))], (11856 ^ _97764) ^ [] : [-(element(11854 ^ [_276880, _279751, _279881, _280068], powerset(powerset(_280068))))], (11858 ^ _97764) ^ [] : [11854 ^ [_276880, _279751, _279881, _280068] = empty_set], (11860 ^ _97764) ^ [_280387] : [in(_280387, 11854 ^ [_276880, _279751, _279881, _280068]), 11864 ^ _97764 : [(11865 ^ _97764) ^ [] : [-(in(11863 ^ [_276880, _279751, _279881, _280068, _280387], 11854 ^ [_276880, _279751, _279881, _280068]))], (11867 ^ _97764) ^ [] : [-(subset(_280387, 11863 ^ [_276880, _279751, _279881, _280068, _280387]))], (11869 ^ _97764) ^ [] : [11863 ^ [_276880, _279751, _279881, _280068, _280387] = _280387]]]]]]]]]]], (11873 ^ _97764) ^ [_280695, _280697] : [topological_space(_280697), top_str(_280697), element(_280695, powerset(the_carrier(_280697))), 11889 ^ _97764 : [(11890 ^ _97764) ^ [] : [-(11886 ^ [_280695, _280697] = 11887 ^ [_280695, _280697])], (11893 ^ _97764) ^ [] : [-(element(11891 ^ [_280695, _280697], powerset(the_carrier(_280697))))], (11895 ^ _97764) ^ [] : [-(11891 ^ [_280695, _280697] = 11887 ^ [_280695, _280697])], (11897 ^ _97764) ^ [] : [-(closed_subset(11891 ^ [_280695, _280697], _280697))], (11899 ^ _97764) ^ [] : [-(subset(_280695, 11887 ^ [_280695, _280697]))], (11901 ^ _97764) ^ [] : [-(11886 ^ [_280695, _280697] = 11888 ^ [_280695, _280697])], (11904 ^ _97764) ^ [] : [-(element(11902 ^ [_280695, _280697], powerset(the_carrier(_280697))))], (11906 ^ _97764) ^ [] : [-(11902 ^ [_280695, _280697] = 11888 ^ [_280695, _280697])], (11908 ^ _97764) ^ [] : [-(closed_subset(11902 ^ [_280695, _280697], _280697))], (11910 ^ _97764) ^ [] : [-(subset(_280695, 11888 ^ [_280695, _280697]))], (11912 ^ _97764) ^ [] : [11887 ^ [_280695, _280697] = 11888 ^ [_280695, _280697]]], 11914 ^ _97764 : [(11915 ^ _97764) ^ [_281482] : [in(_281482, 11913 ^ [_280695, _280697]), 11919 ^ _97764 : [(11920 ^ _97764) ^ [] : [-(in(11918 ^ [_280695, _280697, _281482], powerset(the_carrier(_280697))))], (11922 ^ _97764) ^ [] : [-(11918 ^ [_280695, _280697, _281482] = _281482)], (11925 ^ _97764) ^ [] : [-(element(11923 ^ [_280695, _280697, _281482], powerset(the_carrier(_280697))))], (11927 ^ _97764) ^ [] : [-(11923 ^ [_280695, _280697, _281482] = _281482)], (11929 ^ _97764) ^ [] : [-(closed_subset(11923 ^ [_280695, _280697, _281482], _280697))], (11931 ^ _97764) ^ [] : [-(subset(_280695, _281482))]]], (11933 ^ _97764) ^ [_281764] : [-(in(_281764, 11913 ^ [_280695, _280697])), 11934 ^ _97764 : [(11935 ^ _97764) ^ [_281850] : [in(_281850, powerset(the_carrier(_280697))), _281850 = _281764, 11942 ^ _97764 : [(11943 ^ _97764) ^ [_281995] : [element(_281995, powerset(the_carrier(_280697))), _281995 = _281764, closed_subset(_281995, _280697), subset(_280695, _281764)]]]]]]], (11959 ^ _97764) ^ [_282256, _282258] : [topological_space(_282258), top_str(_282258), element(_282256, powerset(powerset(the_carrier(_282258)))), 11975 ^ _97764 : [(11976 ^ _97764) ^ [] : [-(11972 ^ [_282256, _282258] = 11973 ^ [_282256, _282258])], (11978 ^ _97764) ^ [] : [-(in(set_difference(cast_as_carrier_subset(_282258), 11973 ^ [_282256, _282258]), _282256))], (11980 ^ _97764) ^ [] : [-(11972 ^ [_282256, _282258] = 11974 ^ [_282256, _282258])], (11982 ^ _97764) ^ [] : [-(in(set_difference(cast_as_carrier_subset(_282258), 11974 ^ [_282256, _282258]), _282256))], (11984 ^ _97764) ^ [] : [11973 ^ [_282256, _282258] = 11974 ^ [_282256, _282258]]], 11986 ^ _97764 : [(11987 ^ _97764) ^ [_282785] : [in(_282785, 11985 ^ [_282256, _282258]), 11991 ^ _97764 : [(11992 ^ _97764) ^ [] : [-(in(11990 ^ [_282256, _282258, _282785], powerset(the_carrier(_282258))))], (11994 ^ _97764) ^ [] : [-(11990 ^ [_282256, _282258, _282785] = _282785)], (11996 ^ _97764) ^ [] : [-(in(set_difference(cast_as_carrier_subset(_282258), _282785), _282256))]]], (11998 ^ _97764) ^ [_282965] : [-(in(_282965, 11985 ^ [_282256, _282258])), 11999 ^ _97764 : [(12000 ^ _97764) ^ [_283029] : [in(_283029, powerset(the_carrier(_282258))), _283029 = _282965, in(set_difference(cast_as_carrier_subset(_282258), _282965), _282256)]]]]], (12012 ^ _97764) ^ [_283232, _283234] : [ordinal(_283234), element(_283232, powerset(powerset(succ(_283234)))), 12024 ^ _97764 : [(12025 ^ _97764) ^ [] : [-(12021 ^ [_283232, _283234] = 12022 ^ [_283232, _283234])], (12028 ^ _97764) ^ [] : [-(in(12026 ^ [_283232, _283234], _283232))], (12030 ^ _97764) ^ [] : [-(12022 ^ [_283232, _283234] = set_difference(12026 ^ [_283232, _283234], singleton(_283234)))], (12032 ^ _97764) ^ [] : [-(12021 ^ [_283232, _283234] = 12023 ^ [_283232, _283234])], (12035 ^ _97764) ^ [] : [-(in(12033 ^ [_283232, _283234], _283232))], (12037 ^ _97764) ^ [] : [-(12023 ^ [_283232, _283234] = set_difference(12033 ^ [_283232, _283234], singleton(_283234)))], (12039 ^ _97764) ^ [] : [12022 ^ [_283232, _283234] = 12023 ^ [_283232, _283234]]], 12041 ^ _97764 : [(12042 ^ _97764) ^ [_283819] : [in(_283819, 12040 ^ [_283232, _283234]), 12046 ^ _97764 : [(12047 ^ _97764) ^ [] : [-(in(12045 ^ [_283232, _283234, _283819], powerset(_283234)))], (12049 ^ _97764) ^ [] : [-(12045 ^ [_283232, _283234, _283819] = _283819)], (12052 ^ _97764) ^ [] : [-(in(12050 ^ [_283232, _283234, _283819], _283232))], (12054 ^ _97764) ^ [] : [-(_283819 = set_difference(12050 ^ [_283232, _283234, _283819], singleton(_283234)))]]], (12056 ^ _97764) ^ [_284042] : [-(in(_284042, 12040 ^ [_283232, _283234])), 12057 ^ _97764 : [(12058 ^ _97764) ^ [_284115] : [in(_284115, powerset(_283234)), _284115 = _284042, 12065 ^ _97764 : [(12066 ^ _97764) ^ [_284245] : [in(_284245, _283232), _284042 = set_difference(_284245, singleton(_283234))]]]]]]], (12074 ^ _97764) ^ [_284390, _284392] : [one_sorted_str(_284392), element(_284390, powerset(powerset(the_carrier(_284392)))), 12086 ^ _97764 : [(12111 ^ _97764) ^ [] : [12084 ^ [_284390, _284392] = 12085 ^ [_284390, _284392]], (12087 ^ _97764) ^ [] : [-(in(12083 ^ [_284390, _284392], complements_of_subsets(the_carrier(_284392), _284390)))], (12089 ^ _97764) ^ [_284877] : [element(_284877, powerset(the_carrier(_284392))), _284877 = 12083 ^ [_284390, _284392], -(12084 ^ [_284390, _284392] = subset_complement(the_carrier(_284392), _284877))], (12099 ^ _97764) ^ [] : [-(in(12083 ^ [_284390, _284392], complements_of_subsets(the_carrier(_284392), _284390)))], (12101 ^ _97764) ^ [_285085] : [element(_285085, powerset(the_carrier(_284392))), _285085 = 12083 ^ [_284390, _284392], -(12085 ^ [_284390, _284392] = subset_complement(the_carrier(_284392), _285085))]], 12113 ^ _97764 : [(12114 ^ _97764) ^ [_285385] : [in(_285385, 12112 ^ [_284390, _284392]), 12118 ^ _97764 : [(12119 ^ _97764) ^ [] : [-(in(12117 ^ [_284390, _284392, _285385], complements_of_subsets(the_carrier(_284392), _284390)))], (12121 ^ _97764) ^ [] : [-(in(12117 ^ [_284390, _284392, _285385], complements_of_subsets(the_carrier(_284392), _284390)))], (12123 ^ _97764) ^ [_285628] : [element(_285628, powerset(the_carrier(_284392))), _285628 = 12117 ^ [_284390, _284392, _285385], -(_285385 = subset_complement(the_carrier(_284392), _285628))]]], (12133 ^ _97764) ^ [_285805] : [-(in(_285805, 12112 ^ [_284390, _284392])), 12134 ^ _97764 : [(12135 ^ _97764) ^ [_285896] : [in(_285896, complements_of_subsets(the_carrier(_284392), _284390)), in(_285896, complements_of_subsets(the_carrier(_284392), _284390)), 12143 ^ _97764 : [(12144 ^ _97764) ^ [] : [-(element(12142 ^ [_284390, _284392, _285805, _285896], powerset(the_carrier(_284392))))], (12146 ^ _97764) ^ [] : [-(12142 ^ [_284390, _284392, _285805, _285896] = _285896)], (12148 ^ _97764) ^ [] : [_285805 = subset_complement(the_carrier(_284392), 12142 ^ [_284390, _284392, _285805, _285896])]]]]]]], (12152 ^ _97764) ^ [_286244, _286246] : [one_sorted_str(_286246), element(_286244, powerset(powerset(the_carrier(_286246)))), 12159 ^ _97764 : [(12160 ^ _97764) ^ [_286617] : [12164 ^ _97764 : [(12201 ^ _97764) ^ [] : [12162 ^ [_286244, _286246, _286617] = 12163 ^ [_286244, _286246, _286617]], (12165 ^ _97764) ^ [] : [-(12161 ^ [_286244, _286246, _286617] = 12162 ^ [_286244, _286246, _286617])], (12169 ^ _97764) ^ [] : [-(ordered_pair(12166 ^ [_286244, _286246, _286617], 12167 ^ [_286244, _286246, _286617]) = 12162 ^ [_286244, _286246, _286617])], (12171 ^ _97764) ^ [] : [-(in(12166 ^ [_286244, _286246, _286617], complements_of_subsets(the_carrier(_286246), _286244)))], (12173 ^ _97764) ^ [_287290] : [element(_287290, powerset(the_carrier(_286246))), _287290 = 12166 ^ [_286244, _286246, _286617], -(12167 ^ [_286244, _286246, _286617] = subset_complement(the_carrier(_286246), _287290))], (12183 ^ _97764) ^ [] : [-(12161 ^ [_286244, _286246, _286617] = 12163 ^ [_286244, _286246, _286617])], (12187 ^ _97764) ^ [] : [-(ordered_pair(12184 ^ [_286244, _286246, _286617], 12185 ^ [_286244, _286246, _286617]) = 12163 ^ [_286244, _286246, _286617])], (12189 ^ _97764) ^ [] : [-(in(12184 ^ [_286244, _286246, _286617], complements_of_subsets(the_carrier(_286246), _286244)))], (12191 ^ _97764) ^ [_287677] : [element(_287677, powerset(the_carrier(_286246))), _287677 = 12184 ^ [_286244, _286246, _286617], -(12185 ^ [_286244, _286246, _286617] = subset_complement(the_carrier(_286246), _287677))]], 12203 ^ _97764 : [(12204 ^ _97764) ^ [_288031] : [in(_288031, 12202 ^ [_286244, _286246, _286617]), 12208 ^ _97764 : [(12209 ^ _97764) ^ [] : [-(in(12207 ^ [_286244, _286246, _286617, _288031], cartesian_product2(complements_of_subsets(the_carrier(_286246), _286244), _286617)))], (12211 ^ _97764) ^ [] : [-(12207 ^ [_286244, _286246, _286617, _288031] = _288031)], (12215 ^ _97764) ^ [] : [-(ordered_pair(12212 ^ [_286244, _286246, _286617, _288031], 12213 ^ [_286244, _286246, _286617, _288031]) = _288031)], (12217 ^ _97764) ^ [] : [-(in(12212 ^ [_286244, _286246, _286617, _288031], complements_of_subsets(the_carrier(_286246), _286244)))], (12219 ^ _97764) ^ [_288498] : [element(_288498, powerset(the_carrier(_286246))), _288498 = 12212 ^ [_286244, _286246, _286617, _288031], -(12213 ^ [_286244, _286246, _286617, _288031] = subset_complement(the_carrier(_286246), _288498))]]], (12229 ^ _97764) ^ [_288709] : [-(in(_288709, 12202 ^ [_286244, _286246, _286617])), 12230 ^ _97764 : [(12231 ^ _97764) ^ [_288832] : [in(_288832, cartesian_product2(complements_of_subsets(the_carrier(_286246), _286244), _286617)), _288832 = _288709, 12238 ^ _97764 : [(12239 ^ _97764) ^ [_289018, _289020] : [ordered_pair(_289020, _289018) = _288709, in(_289020, complements_of_subsets(the_carrier(_286246), _286244)), 12247 ^ _97764 : [(12248 ^ _97764) ^ [] : [-(element(12246 ^ [_286244, _286246, _286617, _288709, _288832, _289018, _289020], powerset(the_carrier(_286246))))], (12250 ^ _97764) ^ [] : [-(12246 ^ [_286244, _286246, _286617, _288709, _288832, _289018, _289020] = _289020)], (12252 ^ _97764) ^ [] : [_289018 = subset_complement(the_carrier(_286246), 12246 ^ [_286244, _286246, _286617, _288709, _288832, _289018, _289020])]]]]]]]]]]], (12256 ^ _97764) ^ [_289408, _289410] : [one_sorted_str(_289410), element(_289408, powerset(powerset(the_carrier(_289410)))), 12268 ^ _97764 : [(12293 ^ _97764) ^ [] : [12266 ^ [_289408, _289410] = 12267 ^ [_289408, _289410]], (12269 ^ _97764) ^ [] : [-(in(12265 ^ [_289408, _289410], _289408))], (12271 ^ _97764) ^ [_289860] : [element(_289860, powerset(the_carrier(_289410))), _289860 = 12265 ^ [_289408, _289410], -(12266 ^ [_289408, _289410] = subset_complement(the_carrier(_289410), _289860))], (12281 ^ _97764) ^ [] : [-(in(12265 ^ [_289408, _289410], _289408))], (12283 ^ _97764) ^ [_290063] : [element(_290063, powerset(the_carrier(_289410))), _290063 = 12265 ^ [_289408, _289410], -(12267 ^ [_289408, _289410] = subset_complement(the_carrier(_289410), _290063))]], 12295 ^ _97764 : [(12296 ^ _97764) ^ [_290353] : [in(_290353, 12294 ^ [_289408, _289410]), 12300 ^ _97764 : [(12301 ^ _97764) ^ [] : [-(in(12299 ^ [_289408, _289410, _290353], _289408))], (12303 ^ _97764) ^ [] : [-(in(12299 ^ [_289408, _289410, _290353], _289408))], (12305 ^ _97764) ^ [_290570] : [element(_290570, powerset(the_carrier(_289410))), _290570 = 12299 ^ [_289408, _289410, _290353], -(_290353 = subset_complement(the_carrier(_289410), _290570))]]], (12315 ^ _97764) ^ [_290747] : [-(in(_290747, 12294 ^ [_289408, _289410])), 12316 ^ _97764 : [(12317 ^ _97764) ^ [_290828] : [in(_290828, _289408), in(_290828, _289408), 12325 ^ _97764 : [(12326 ^ _97764) ^ [] : [-(element(12324 ^ [_289408, _289410, _290747, _290828], powerset(the_carrier(_289410))))], (12328 ^ _97764) ^ [] : [-(12324 ^ [_289408, _289410, _290747, _290828] = _290828)], (12330 ^ _97764) ^ [] : [_290747 = subset_complement(the_carrier(_289410), 12324 ^ [_289408, _289410, _290747, _290828])]]]]]]], (12334 ^ _97764) ^ [_291156, _291158] : [one_sorted_str(_291158), element(_291156, powerset(powerset(the_carrier(_291158)))), 12341 ^ _97764 : [(12342 ^ _97764) ^ [_291509] : [12346 ^ _97764 : [(12383 ^ _97764) ^ [] : [12344 ^ [_291156, _291158, _291509] = 12345 ^ [_291156, _291158, _291509]], (12347 ^ _97764) ^ [] : [-(12343 ^ [_291156, _291158, _291509] = 12344 ^ [_291156, _291158, _291509])], (12351 ^ _97764) ^ [] : [-(ordered_pair(12348 ^ [_291156, _291158, _291509], 12349 ^ [_291156, _291158, _291509]) = 12344 ^ [_291156, _291158, _291509])], (12353 ^ _97764) ^ [] : [-(in(12348 ^ [_291156, _291158, _291509], _291156))], (12355 ^ _97764) ^ [_292142] : [element(_292142, powerset(the_carrier(_291158))), _292142 = 12348 ^ [_291156, _291158, _291509], -(12349 ^ [_291156, _291158, _291509] = subset_complement(the_carrier(_291158), _292142))], (12365 ^ _97764) ^ [] : [-(12343 ^ [_291156, _291158, _291509] = 12345 ^ [_291156, _291158, _291509])], (12369 ^ _97764) ^ [] : [-(ordered_pair(12366 ^ [_291156, _291158, _291509], 12367 ^ [_291156, _291158, _291509]) = 12345 ^ [_291156, _291158, _291509])], (12371 ^ _97764) ^ [] : [-(in(12366 ^ [_291156, _291158, _291509], _291156))], (12373 ^ _97764) ^ [_292519] : [element(_292519, powerset(the_carrier(_291158))), _292519 = 12366 ^ [_291156, _291158, _291509], -(12367 ^ [_291156, _291158, _291509] = subset_complement(the_carrier(_291158), _292519))]], 12385 ^ _97764 : [(12386 ^ _97764) ^ [_292863] : [in(_292863, 12384 ^ [_291156, _291158, _291509]), 12390 ^ _97764 : [(12391 ^ _97764) ^ [] : [-(in(12389 ^ [_291156, _291158, _291509, _292863], cartesian_product2(_291156, _291509)))], (12393 ^ _97764) ^ [] : [-(12389 ^ [_291156, _291158, _291509, _292863] = _292863)], (12397 ^ _97764) ^ [] : [-(ordered_pair(12394 ^ [_291156, _291158, _291509, _292863], 12395 ^ [_291156, _291158, _291509, _292863]) = _292863)], (12399 ^ _97764) ^ [] : [-(in(12394 ^ [_291156, _291158, _291509, _292863], _291156))], (12401 ^ _97764) ^ [_293299] : [element(_293299, powerset(the_carrier(_291158))), _293299 = 12394 ^ [_291156, _291158, _291509, _292863], -(12395 ^ [_291156, _291158, _291509, _292863] = subset_complement(the_carrier(_291158), _293299))]]], (12411 ^ _97764) ^ [_293510] : [-(in(_293510, 12384 ^ [_291156, _291158, _291509])), 12412 ^ _97764 : [(12413 ^ _97764) ^ [_293623] : [in(_293623, cartesian_product2(_291156, _291509)), _293623 = _293510, 12420 ^ _97764 : [(12421 ^ _97764) ^ [_293794, _293796] : [ordered_pair(_293796, _293794) = _293510, in(_293796, _291156), 12429 ^ _97764 : [(12430 ^ _97764) ^ [] : [-(element(12428 ^ [_291156, _291158, _291509, _293510, _293623, _293794, _293796], powerset(the_carrier(_291158))))], (12432 ^ _97764) ^ [] : [-(12428 ^ [_291156, _291158, _291509, _293510, _293623, _293794, _293796] = _293796)], (12434 ^ _97764) ^ [] : [_293794 = subset_complement(the_carrier(_291158), 12428 ^ [_291156, _291158, _291509, _293510, _293623, _293794, _293796])]]]]]]]]]]], (12438 ^ _97764) ^ [_294174, _294176, _294178] : [relation(_294176), relation(_294174), function(_294174), 12454 ^ _97764 : [(12455 ^ _97764) ^ [] : [-(12451 ^ [_294174, _294176, _294178] = 12452 ^ [_294174, _294176, _294178])], (12459 ^ _97764) ^ [] : [-(12452 ^ [_294174, _294176, _294178] = ordered_pair(12456 ^ [_294174, _294176, _294178], 12457 ^ [_294174, _294176, _294178]))], (12461 ^ _97764) ^ [] : [-(in(ordered_pair(apply(_294174, 12456 ^ [_294174, _294176, _294178]), apply(_294174, 12457 ^ [_294174, _294176, _294178])), _294176))], (12463 ^ _97764) ^ [] : [-(12451 ^ [_294174, _294176, _294178] = 12453 ^ [_294174, _294176, _294178])], (12467 ^ _97764) ^ [] : [-(12453 ^ [_294174, _294176, _294178] = ordered_pair(12464 ^ [_294174, _294176, _294178], 12465 ^ [_294174, _294176, _294178]))], (12469 ^ _97764) ^ [] : [-(in(ordered_pair(apply(_294174, 12464 ^ [_294174, _294176, _294178]), apply(_294174, 12465 ^ [_294174, _294176, _294178])), _294176))], (12471 ^ _97764) ^ [] : [12452 ^ [_294174, _294176, _294178] = 12453 ^ [_294174, _294176, _294178]]], 12473 ^ _97764 : [(12474 ^ _97764) ^ [_294936] : [in(_294936, 12472 ^ [_294174, _294176, _294178]), 12478 ^ _97764 : [(12479 ^ _97764) ^ [] : [-(in(12477 ^ [_294174, _294176, _294178, _294936], cartesian_product2(_294178, _294178)))], (12481 ^ _97764) ^ [] : [-(12477 ^ [_294174, _294176, _294178, _294936] = _294936)], (12485 ^ _97764) ^ [] : [-(_294936 = ordered_pair(12482 ^ [_294174, _294176, _294178, _294936], 12483 ^ [_294174, _294176, _294178, _294936]))], (12487 ^ _97764) ^ [] : [-(in(ordered_pair(apply(_294174, 12482 ^ [_294174, _294176, _294178, _294936]), apply(_294174, 12483 ^ [_294174, _294176, _294178, _294936])), _294176))]]], (12489 ^ _97764) ^ [_295216] : [-(in(_295216, 12472 ^ [_294174, _294176, _294178])), 12490 ^ _97764 : [(12491 ^ _97764) ^ [_295306] : [in(_295306, cartesian_product2(_294178, _294178)), _295306 = _295216, 12498 ^ _97764 : [(12499 ^ _97764) ^ [_295454, _295456] : [_295216 = ordered_pair(_295456, _295454), in(ordered_pair(apply(_294174, _295456), apply(_294174, _295454)), _294176)]]]]]]], (12507 ^ _97764) ^ [_295621] : [12511 ^ _97764 : [(12512 ^ _97764) ^ [] : [-(12508 ^ [_295621] = 12509 ^ [_295621])], (12514 ^ _97764) ^ [] : [-(ordinal(12509 ^ [_295621]))], (12516 ^ _97764) ^ [] : [-(12508 ^ [_295621] = 12510 ^ [_295621])], (12518 ^ _97764) ^ [] : [-(ordinal(12510 ^ [_295621]))], (12520 ^ _97764) ^ [] : [12509 ^ [_295621] = 12510 ^ [_295621]]], 12522 ^ _97764 : [(12523 ^ _97764) ^ [_295919] : [in(_295919, 12521 ^ [_295621]), 12527 ^ _97764 : [(12528 ^ _97764) ^ [] : [-(in(12526 ^ [_295621, _295919], _295621))], (12530 ^ _97764) ^ [] : [-(12526 ^ [_295621, _295919] = _295919)], (12532 ^ _97764) ^ [] : [-(ordinal(_295919))]]], (12534 ^ _97764) ^ [_296069] : [-(in(_296069, 12521 ^ [_295621])), 12535 ^ _97764 : [(12536 ^ _97764) ^ [_296119] : [in(_296119, _295621), _296119 = _296069, ordinal(_296069)]]]]], (12548 ^ _97764) ^ [_296290, _296292, _296294] : [element(_296292, powerset(powerset(_296294))), relation(_296290), function(_296290), 12564 ^ _97764 : [(12565 ^ _97764) ^ [] : [-(12561 ^ [_296290, _296292, _296294] = 12562 ^ [_296290, _296292, _296294])], (12567 ^ _97764) ^ [] : [-(in(relation_image(_296290, 12562 ^ [_296290, _296292, _296294]), _296292))], (12569 ^ _97764) ^ [] : [-(12561 ^ [_296290, _296292, _296294] = 12563 ^ [_296290, _296292, _296294])], (12571 ^ _97764) ^ [] : [-(in(relation_image(_296290, 12563 ^ [_296290, _296292, _296294]), _296292))], (12573 ^ _97764) ^ [] : [12562 ^ [_296290, _296292, _296294] = 12563 ^ [_296290, _296292, _296294]]], 12575 ^ _97764 : [(12576 ^ _97764) ^ [_296834] : [in(_296834, 12574 ^ [_296290, _296292, _296294]), 12580 ^ _97764 : [(12581 ^ _97764) ^ [] : [-(in(12579 ^ [_296290, _296292, _296294, _296834], powerset(relation_dom(_296290))))], (12583 ^ _97764) ^ [] : [-(12579 ^ [_296290, _296292, _296294, _296834] = _296834)], (12585 ^ _97764) ^ [] : [-(in(relation_image(_296290, _296834), _296292))]]], (12587 ^ _97764) ^ [_297020] : [-(in(_297020, 12574 ^ [_296290, _296292, _296294])), 12588 ^ _97764 : [(12589 ^ _97764) ^ [_297086] : [in(_297086, powerset(relation_dom(_296290))), _297086 = _297020, in(relation_image(_296290, _297020), _296292)]]]]], (12601 ^ _97764) ^ [_297291, _297293] : [ordinal(_297291), 12609 ^ _97764 : [(12610 ^ _97764) ^ [] : [-(12606 ^ [_297291, _297293] = 12607 ^ [_297291, _297293])], (12613 ^ _97764) ^ [] : [-(ordinal(12611 ^ [_297291, _297293]))], (12615 ^ _97764) ^ [] : [-(12607 ^ [_297291, _297293] = 12611 ^ [_297291, _297293])], (12617 ^ _97764) ^ [] : [-(in(12611 ^ [_297291, _297293], _297293))], (12619 ^ _97764) ^ [] : [-(12606 ^ [_297291, _297293] = 12608 ^ [_297291, _297293])], (12622 ^ _97764) ^ [] : [-(ordinal(12620 ^ [_297291, _297293]))], (12624 ^ _97764) ^ [] : [-(12608 ^ [_297291, _297293] = 12620 ^ [_297291, _297293])], (12626 ^ _97764) ^ [] : [-(in(12620 ^ [_297291, _297293], _297293))], (12628 ^ _97764) ^ [] : [12607 ^ [_297291, _297293] = 12608 ^ [_297291, _297293]]], 12630 ^ _97764 : [(12631 ^ _97764) ^ [_297856] : [in(_297856, 12629 ^ [_297291, _297293]), 12635 ^ _97764 : [(12636 ^ _97764) ^ [] : [-(in(12634 ^ [_297291, _297293, _297856], succ(_297291)))], (12638 ^ _97764) ^ [] : [-(12634 ^ [_297291, _297293, _297856] = _297856)], (12641 ^ _97764) ^ [] : [-(ordinal(12639 ^ [_297291, _297293, _297856]))], (12643 ^ _97764) ^ [] : [-(_297856 = 12639 ^ [_297291, _297293, _297856])], (12645 ^ _97764) ^ [] : [-(in(12639 ^ [_297291, _297293, _297856], _297293))]]], (12647 ^ _97764) ^ [_298100] : [-(in(_298100, 12629 ^ [_297291, _297293])), 12648 ^ _97764 : [(12649 ^ _97764) ^ [_298173] : [in(_298173, succ(_297291)), _298173 = _298100, 12656 ^ _97764 : [(12657 ^ _97764) ^ [_298303] : [ordinal(_298303), _298100 = _298303, in(_298303, _297293)]]]]]]], (12669 ^ _97764) ^ [_298492, _298494] : [-(empty(_298494)), relation(_298492), 12677 ^ _97764 : [(12678 ^ _97764) ^ [_298776, _298778] : [in(_298776, 12676 ^ [_298492, _298494, _298778]), 12681 ^ _97764 : [(12682 ^ _97764) ^ [] : [-(in(_298776, cartesian_product2(_298494, _298778)))], (12686 ^ _97764) ^ [] : [-(ordered_pair(12683 ^ [_298492, _298494, _298776, _298778], 12684 ^ [_298492, _298494, _298776, _298778]) = _298776)], (12688 ^ _97764) ^ [] : [-(in(12683 ^ [_298492, _298494, _298776, _298778], _298494))], (12691 ^ _97764) ^ [] : [-(12683 ^ [_298492, _298494, _298776, _298778] = 12689 ^ [_298492, _298494, _298776, _298778])], (12693 ^ _97764) ^ [] : [-(in(12684 ^ [_298492, _298494, _298776, _298778], 12689 ^ [_298492, _298494, _298776, _298778]))], (12695 ^ _97764) ^ [_299242] : [in(_299242, 12689 ^ [_298492, _298494, _298776, _298778]), -(in(ordered_pair(12684 ^ [_298492, _298494, _298776, _298778], _299242), _298492))]]], (12701 ^ _97764) ^ [_299385, _299387] : [-(in(_299385, 12676 ^ [_298492, _298494, _299387])), in(_299385, cartesian_product2(_298494, _299387)), 12706 ^ _97764 : [(12707 ^ _97764) ^ [_299543, _299545] : [ordered_pair(_299545, _299543) = _299385, in(_299545, _298494), 12714 ^ _97764 : [(12715 ^ _97764) ^ [_299698] : [_299545 = _299698, in(_299543, _299698), 12723 ^ _97764 : [(12724 ^ _97764) ^ [] : [-(in(12722 ^ [_298492, _298494, _299385, _299387, _299543, _299545, _299698], _299698))], (12726 ^ _97764) ^ [] : [in(ordered_pair(_299543, 12722 ^ [_298492, _298494, _299385, _299387, _299543, _299545, _299698]), _298492)]]]]]]]]], (12730 ^ _97764) ^ [_300001, _300003, _300005] : [-(empty_carrier(_300005)), transitive_relstr(_300005), rel_str(_300005), element(_300003, powerset(the_carrier(_300005))), finite(_300001), element(_300001, powerset(_300003)), 12754 ^ _97764 : [(12755 ^ _97764) ^ [_300455] : [in(_300455, 12753 ^ [_300001, _300003, _300005]), 12758 ^ _97764 : [(12759 ^ _97764) ^ [] : [-(in(_300455, powerset(_300001)))], (12762 ^ _97764) ^ [] : [-(12760 ^ [_300001, _300003, _300005, _300455] = _300455)], (12765 ^ _97764) ^ [] : [-(element(12763 ^ [_300001, _300003, _300005, _300455], the_carrier(_300005)))], (12767 ^ _97764) ^ [] : [-(in(12763 ^ [_300001, _300003, _300005, _300455], _300003))], (12769 ^ _97764) ^ [] : [-(relstr_set_smaller(_300005, 12760 ^ [_300001, _300003, _300005, _300455], 12763 ^ [_300001, _300003, _300005, _300455]))]]], (12771 ^ _97764) ^ [_300723] : [-(in(_300723, 12753 ^ [_300001, _300003, _300005])), in(_300723, powerset(_300001)), 12776 ^ _97764 : [(12777 ^ _97764) ^ [_300854] : [_300854 = _300723, 12780 ^ _97764 : [(12781 ^ _97764) ^ [_300932] : [element(_300932, the_carrier(_300005)), in(_300932, _300003), relstr_set_smaller(_300005, _300854, _300932)]]]]]]], (12794 ^ _97764) ^ [_301206, _301208, _301210] : [in(_301206, 12792 ^ [_301208, _301210]), 12797 ^ _97764 : [(12798 ^ _97764) ^ [] : [-(in(_301206, cartesian_product2(_301210, _301208)))], (12802 ^ _97764) ^ [] : [-(ordered_pair(12799 ^ [_301206, _301208, _301210], 12800 ^ [_301206, _301208, _301210]) = _301206)], (12804 ^ _97764) ^ [] : [-(in(12799 ^ [_301206, _301208, _301210], _301210))], (12806 ^ _97764) ^ [] : [-(12800 ^ [_301206, _301208, _301210] = singleton(12799 ^ [_301206, _301208, _301210]))]]], (12808 ^ _97764) ^ [_301440, _301442, _301444] : [-(in(_301440, 12792 ^ [_301442, _301444])), in(_301440, cartesian_product2(_301444, _301442)), 12813 ^ _97764 : [(12814 ^ _97764) ^ [_301563, _301565] : [ordered_pair(_301565, _301563) = _301440, in(_301565, _301444), _301563 = singleton(_301565)]]], (12826 ^ _97764) ^ [_301752] : [ordinal(_301752), 12830 ^ _97764 : [(12867 ^ _97764) ^ [_302780] : [-(in(_302780, 12829 ^ [_301752])), in(_302780, succ(_301752)), 12872 ^ _97764 : [(12873 ^ _97764) ^ [_302945] : [ordinal(_302945), _302780 = _302945, 12880 ^ _97764 : [(12881 ^ _97764) ^ [] : [-(in(_302945, omega))], (12884 ^ _97764) ^ [] : [-(element(12882 ^ [_301752, _302780, _302945], powerset(powerset(_302945))))], (12886 ^ _97764) ^ [] : [12882 ^ [_301752, _302780, _302945] = empty_set], (12888 ^ _97764) ^ [_303254] : [in(_303254, 12882 ^ [_301752, _302780, _302945]), 12892 ^ _97764 : [(12893 ^ _97764) ^ [] : [-(in(12891 ^ [_301752, _302780, _302945, _303254], 12882 ^ [_301752, _302780, _302945]))], (12895 ^ _97764) ^ [] : [-(subset(_303254, 12891 ^ [_301752, _302780, _302945, _303254]))], (12897 ^ _97764) ^ [] : [12891 ^ [_301752, _302780, _302945, _303254] = _303254]]]]]]], (12831 ^ _97764) ^ [_302011] : [in(_302011, 12829 ^ [_301752]), 12834 ^ _97764 : [(12835 ^ _97764) ^ [] : [-(in(_302011, succ(_301752)))], (12838 ^ _97764) ^ [] : [-(ordinal(12836 ^ [_301752, _302011]))], (12840 ^ _97764) ^ [] : [-(_302011 = 12836 ^ [_301752, _302011])], (12842 ^ _97764) ^ [] : [in(12836 ^ [_301752, _302011], omega), 12845 ^ _97764 : [(12846 ^ _97764) ^ [_302365] : [element(_302365, powerset(powerset(12836 ^ [_301752, _302011]))), -(_302365 = empty_set), 12854 ^ _97764 : [(12855 ^ _97764) ^ [] : [-(in(12853 ^ [_301752, _302011, _302365], _302365))], (12857 ^ _97764) ^ [_302589] : [-(_302589 = 12853 ^ [_301752, _302011, _302365]), in(_302589, _302365), subset(12853 ^ [_301752, _302011, _302365], _302589)]]]]]]]]], (12901 ^ _97764) ^ [_303536, _303538] : [topological_space(_303538), top_str(_303538), element(_303536, powerset(the_carrier(_303538))), 12913 ^ _97764 : [(12914 ^ _97764) ^ [_303813] : [in(_303813, 12912 ^ [_303536, _303538]), 12917 ^ _97764 : [(12918 ^ _97764) ^ [] : [-(in(_303813, powerset(the_carrier(_303538))))], (12921 ^ _97764) ^ [] : [-(element(12919 ^ [_303536, _303538, _303813], powerset(the_carrier(_303538))))], (12923 ^ _97764) ^ [] : [-(12919 ^ [_303536, _303538, _303813] = _303813)], (12925 ^ _97764) ^ [] : [-(closed_subset(12919 ^ [_303536, _303538, _303813], _303538))], (12927 ^ _97764) ^ [] : [-(subset(_303536, _303813))]]], (12929 ^ _97764) ^ [_304048] : [-(in(_304048, 12912 ^ [_303536, _303538])), in(_304048, powerset(the_carrier(_303538))), 12934 ^ _97764 : [(12935 ^ _97764) ^ [_304173] : [element(_304173, powerset(the_carrier(_303538))), _304173 = _304048, closed_subset(_304173, _303538), subset(_303536, _304048)]]]]], (12951 ^ _97764) ^ [_304420, _304422] : [topological_space(_304422), top_str(_304422), element(_304420, powerset(powerset(the_carrier(_304422)))), 12963 ^ _97764 : [(12964 ^ _97764) ^ [_304657] : [in(_304657, 12962 ^ [_304420, _304422]), 12967 ^ _97764 : [(12968 ^ _97764) ^ [] : [-(in(_304657, powerset(the_carrier(_304422))))], (12970 ^ _97764) ^ [] : [-(in(set_difference(cast_as_carrier_subset(_304422), _304657), _304420))]]], (12972 ^ _97764) ^ [_304790] : [-(in(_304790, 12962 ^ [_304420, _304422])), in(_304790, powerset(the_carrier(_304422))), in(set_difference(cast_as_carrier_subset(_304422), _304790), _304420)]]], (12982 ^ _97764) ^ [_304965, _304967] : [ordinal(_304967), element(_304965, powerset(powerset(succ(_304967)))), 12990 ^ _97764 : [(12991 ^ _97764) ^ [_305170] : [in(_305170, 12989 ^ [_304965, _304967]), 12994 ^ _97764 : [(12995 ^ _97764) ^ [] : [-(in(_305170, powerset(_304967)))], (12998 ^ _97764) ^ [] : [-(in(12996 ^ [_304965, _304967, _305170], _304965))], (13000 ^ _97764) ^ [] : [-(_305170 = set_difference(12996 ^ [_304965, _304967, _305170], singleton(_304967)))]]], (13002 ^ _97764) ^ [_305346] : [-(in(_305346, 12989 ^ [_304965, _304967])), in(_305346, powerset(_304967)), 13007 ^ _97764 : [(13008 ^ _97764) ^ [_305456] : [in(_305456, _304965), _305346 = set_difference(_305456, singleton(_304967))]]]]], (13016 ^ _97764) ^ [_305591, _305593] : [one_sorted_str(_305593), element(_305591, powerset(powerset(the_carrier(_305593)))), 13024 ^ _97764 : [(13025 ^ _97764) ^ [_305896, _305898] : [in(_305896, 13023 ^ [_305591, _305593, _305898]), 13028 ^ _97764 : [(13029 ^ _97764) ^ [] : [-(in(_305896, cartesian_product2(complements_of_subsets(the_carrier(_305593), _305591), _305898)))], (13033 ^ _97764) ^ [] : [-(ordered_pair(13030 ^ [_305591, _305593, _305896, _305898], 13031 ^ [_305591, _305593, _305896, _305898]) = _305896)], (13035 ^ _97764) ^ [] : [-(in(13030 ^ [_305591, _305593, _305896, _305898], complements_of_subsets(the_carrier(_305593), _305591)))], (13037 ^ _97764) ^ [_306230] : [element(_306230, powerset(the_carrier(_305593))), _306230 = 13030 ^ [_305591, _305593, _305896, _305898], -(13031 ^ [_305591, _305593, _305896, _305898] = subset_complement(the_carrier(_305593), _306230))]]], (13047 ^ _97764) ^ [_306439, _306441] : [-(in(_306439, 13023 ^ [_305591, _305593, _306441])), in(_306439, cartesian_product2(complements_of_subsets(the_carrier(_305593), _305591), _306441)), 13052 ^ _97764 : [(13053 ^ _97764) ^ [_306607, _306609] : [ordered_pair(_306609, _306607) = _306439, in(_306609, complements_of_subsets(the_carrier(_305593), _305591)), 13061 ^ _97764 : [(13062 ^ _97764) ^ [] : [-(element(13060 ^ [_305591, _305593, _306439, _306441, _306607, _306609], powerset(the_carrier(_305593))))], (13064 ^ _97764) ^ [] : [-(13060 ^ [_305591, _305593, _306439, _306441, _306607, _306609] = _306609)], (13066 ^ _97764) ^ [] : [_306607 = subset_complement(the_carrier(_305593), 13060 ^ [_305591, _305593, _306439, _306441, _306607, _306609])]]]]]]], (13070 ^ _97764) ^ [_306975, _306977] : [one_sorted_str(_306977), element(_306975, powerset(powerset(the_carrier(_306977)))), 13078 ^ _97764 : [(13079 ^ _97764) ^ [_307260, _307262] : [in(_307260, 13077 ^ [_306975, _306977, _307262]), 13082 ^ _97764 : [(13083 ^ _97764) ^ [] : [-(in(_307260, cartesian_product2(_306975, _307262)))], (13087 ^ _97764) ^ [] : [-(ordered_pair(13084 ^ [_306975, _306977, _307260, _307262], 13085 ^ [_306975, _306977, _307260, _307262]) = _307260)], (13089 ^ _97764) ^ [] : [-(in(13084 ^ [_306975, _306977, _307260, _307262], _306975))], (13091 ^ _97764) ^ [_307569] : [element(_307569, powerset(the_carrier(_306977))), _307569 = 13084 ^ [_306975, _306977, _307260, _307262], -(13085 ^ [_306975, _306977, _307260, _307262] = subset_complement(the_carrier(_306977), _307569))]]], (13101 ^ _97764) ^ [_307778, _307780] : [-(in(_307778, 13077 ^ [_306975, _306977, _307780])), in(_307778, cartesian_product2(_306975, _307780)), 13106 ^ _97764 : [(13107 ^ _97764) ^ [_307931, _307933] : [ordered_pair(_307933, _307931) = _307778, in(_307933, _306975), 13115 ^ _97764 : [(13116 ^ _97764) ^ [] : [-(element(13114 ^ [_306975, _306977, _307778, _307780, _307931, _307933], powerset(the_carrier(_306977))))], (13118 ^ _97764) ^ [] : [-(13114 ^ [_306975, _306977, _307778, _307780, _307931, _307933] = _307933)], (13120 ^ _97764) ^ [] : [_307931 = subset_complement(the_carrier(_306977), 13114 ^ [_306975, _306977, _307778, _307780, _307931, _307933])]]]]]]], (13124 ^ _97764) ^ [_308289, _308291, _308293] : [relation(_308291), relation(_308289), function(_308289), 13136 ^ _97764 : [(13137 ^ _97764) ^ [_308564] : [in(_308564, 13135 ^ [_308289, _308291, _308293]), 13140 ^ _97764 : [(13141 ^ _97764) ^ [] : [-(in(_308564, cartesian_product2(_308293, _308293)))], (13145 ^ _97764) ^ [] : [-(_308564 = ordered_pair(13142 ^ [_308289, _308291, _308293, _308564], 13143 ^ [_308289, _308291, _308293, _308564]))], (13147 ^ _97764) ^ [] : [-(in(ordered_pair(apply(_308289, 13142 ^ [_308289, _308291, _308293, _308564]), apply(_308289, 13143 ^ [_308289, _308291, _308293, _308564])), _308291))]]], (13149 ^ _97764) ^ [_308793] : [-(in(_308793, 13135 ^ [_308289, _308291, _308293])), in(_308793, cartesian_product2(_308293, _308293)), 13154 ^ _97764 : [(13155 ^ _97764) ^ [_308923, _308925] : [_308793 = ordered_pair(_308925, _308923), in(ordered_pair(apply(_308289, _308925), apply(_308289, _308923)), _308291)]]]]], (13164 ^ _97764) ^ [_309111, _309113] : [in(_309111, 13162 ^ [_309113]), 13167 ^ _97764 : [(13168 ^ _97764) ^ [] : [-(in(_309111, _309113))], (13170 ^ _97764) ^ [] : [-(ordinal(_309111))]]], (13172 ^ _97764) ^ [_309218, _309220] : [-(in(_309218, 13162 ^ [_309220])), in(_309218, _309220), ordinal(_309218)], (13182 ^ _97764) ^ [_309357, _309359, _309361] : [element(_309359, powerset(powerset(_309361))), relation(_309357), function(_309357), 13194 ^ _97764 : [(13195 ^ _97764) ^ [_309594] : [in(_309594, 13193 ^ [_309357, _309359, _309361]), 13198 ^ _97764 : [(13199 ^ _97764) ^ [] : [-(in(_309594, powerset(relation_dom(_309357))))], (13201 ^ _97764) ^ [] : [-(in(relation_image(_309357, _309594), _309359))]]], (13203 ^ _97764) ^ [_309729] : [-(in(_309729, 13193 ^ [_309357, _309359, _309361])), in(_309729, powerset(relation_dom(_309357))), in(relation_image(_309357, _309729), _309359)]]], (13213 ^ _97764) ^ [_309908, _309910] : [ordinal(_309908), 13217 ^ _97764 : [(13218 ^ _97764) ^ [_310049] : [in(_310049, 13216 ^ [_309908, _309910]), 13221 ^ _97764 : [(13222 ^ _97764) ^ [] : [-(in(_310049, succ(_309908)))], (13225 ^ _97764) ^ [] : [-(ordinal(13223 ^ [_309908, _309910, _310049]))], (13227 ^ _97764) ^ [] : [-(_310049 = 13223 ^ [_309908, _309910, _310049])], (13229 ^ _97764) ^ [] : [-(in(13223 ^ [_309908, _309910, _310049], _309910))]]], (13231 ^ _97764) ^ [_310246] : [-(in(_310246, 13216 ^ [_309908, _309910])), in(_310246, succ(_309908)), 13236 ^ _97764 : [(13237 ^ _97764) ^ [_310356] : [ordinal(_310356), _310246 = _310356, in(_310356, _309910)]]]]], (13249 ^ _97764) ^ [_310533, _310535, _310537] : [-(empty_carrier(_310537)), transitive_relstr(_310537), rel_str(_310537), element(_310535, powerset(the_carrier(_310537))), finite(_310533), element(_310533, powerset(_310535)), 13314 ^ _97764 : [(13315 ^ _97764) ^ [] : [-(element(13313 ^ [_310533, _310535, _310537], the_carrier(_310537)))], (13317 ^ _97764) ^ [] : [-(in(13313 ^ [_310533, _310535, _310537], _310535))], (13319 ^ _97764) ^ [] : [-(relstr_set_smaller(_310537, _310533, 13313 ^ [_310533, _310535, _310537]))]], finite(_310533), 13280 ^ _97764 : [(13281 ^ _97764) ^ [_311085] : [element(_311085, the_carrier(_310537)), in(_311085, _310535), relstr_set_smaller(_310537, empty_set, _311085)]], 13292 ^ _97764 : [(13293 ^ _97764) ^ [] : [-(in(13290 ^ [_310533, _310535, _310537], _310533))], (13295 ^ _97764) ^ [] : [-(subset(13291 ^ [_310533, _310535, _310537], _310533))], (13298 ^ _97764) ^ [] : [-(element(13296 ^ [_310533, _310535, _310537], the_carrier(_310537)))], (13300 ^ _97764) ^ [] : [-(in(13296 ^ [_310533, _310535, _310537], _310535))], (13302 ^ _97764) ^ [] : [-(relstr_set_smaller(_310537, 13291 ^ [_310533, _310535, _310537], 13296 ^ [_310533, _310535, _310537]))], (13304 ^ _97764) ^ [_311428] : [element(_311428, the_carrier(_310537)), in(_311428, _310535), relstr_set_smaller(_310537, set_union2(13291 ^ [_310533, _310535, _310537], singleton(13290 ^ [_310533, _310535, _310537])), _311428)]]], (13321 ^ _97764) ^ [_311740, _311742] : [-(empty(_311742)), relation(_311740), 13378 ^ _97764 : [(13379 ^ _97764) ^ [] : [-(relation(13377 ^ [_311740, _311742]))], (13381 ^ _97764) ^ [] : [-(function(13377 ^ [_311740, _311742]))], (13383 ^ _97764) ^ [] : [-(relation_dom(13377 ^ [_311740, _311742]) = _311742)], (13385 ^ _97764) ^ [_313262] : [in(_313262, _311742), 13389 ^ _97764 : [(13390 ^ _97764) ^ [] : [-(_313262 = 13388 ^ [_311740, _311742, _313262])], (13392 ^ _97764) ^ [] : [-(in(apply(13377 ^ [_311740, _311742], _313262), 13388 ^ [_311740, _311742, _313262]))], (13394 ^ _97764) ^ [_313491] : [in(_313491, 13388 ^ [_311740, _311742, _313262]), -(in(ordered_pair(apply(13377 ^ [_311740, _311742], _313262), _313491), _311740))]]]], 13362 ^ _97764 : [(13363 ^ _97764) ^ [] : [-(in(13361 ^ [_311740, _311742], _311742))], (13365 ^ _97764) ^ [_312863, _312865] : [13361 ^ [_311740, _311742] = _312863, in(_312865, _312863), 13373 ^ _97764 : [(13374 ^ _97764) ^ [] : [-(in(13372 ^ [_311740, _311742, _312863, _312865], _312863))], (13376 ^ _97764) ^ [] : [in(ordered_pair(_312865, 13372 ^ [_311740, _311742, _312863, _312865]), _311740)]]]], 13335 ^ _97764 : [(13360 ^ _97764) ^ [] : [13333 ^ [_311740, _311742] = 13334 ^ [_311740, _311742]], (13336 ^ _97764) ^ [] : [-(in(13332 ^ [_311740, _311742], _311742))], (13339 ^ _97764) ^ [] : [-(13332 ^ [_311740, _311742] = 13337 ^ [_311740, _311742])], (13341 ^ _97764) ^ [] : [-(in(13333 ^ [_311740, _311742], 13337 ^ [_311740, _311742]))], (13343 ^ _97764) ^ [_312396] : [in(_312396, 13337 ^ [_311740, _311742]), -(in(ordered_pair(13333 ^ [_311740, _311742], _312396), _311740))], (13350 ^ _97764) ^ [] : [-(13332 ^ [_311740, _311742] = 13348 ^ [_311740, _311742])], (13352 ^ _97764) ^ [] : [-(in(13334 ^ [_311740, _311742], 13348 ^ [_311740, _311742]))], (13354 ^ _97764) ^ [_312626] : [in(_312626, 13348 ^ [_311740, _311742]), -(in(ordered_pair(13334 ^ [_311740, _311742], _312626), _311740))]]], (13400 ^ _97764) ^ [_313638] : [13406 ^ _97764 : [(13407 ^ _97764) ^ [] : [-(in(13403 ^ [_313638], _313638))], (13409 ^ _97764) ^ [] : [-(13404 ^ [_313638] = singleton(13403 ^ [_313638]))], (13411 ^ _97764) ^ [] : [-(13405 ^ [_313638] = singleton(13403 ^ [_313638]))], (13413 ^ _97764) ^ [] : [13404 ^ [_313638] = 13405 ^ [_313638]]], 13415 ^ _97764 : [(13416 ^ _97764) ^ [] : [-(in(13414 ^ [_313638], _313638))], (13418 ^ _97764) ^ [_313980] : [_313980 = singleton(13414 ^ [_313638])]], 13420 ^ _97764 : [(13421 ^ _97764) ^ [] : [-(relation(13419 ^ [_313638]))], (13423 ^ _97764) ^ [] : [-(function(13419 ^ [_313638]))], (13425 ^ _97764) ^ [] : [-(relation_dom(13419 ^ [_313638]) = _313638)], (13427 ^ _97764) ^ [_314135] : [in(_314135, _313638), -(apply(13419 ^ [_313638], _314135) = singleton(_314135))]]], (13433 ^ _97764) ^ [_314244, _314246] : [one_sorted_str(_314246), element(_314244, powerset(powerset(the_carrier(_314246)))), 13482 ^ _97764 : [(13483 ^ _97764) ^ [] : [-(relation(13481 ^ [_314244, _314246]))], (13485 ^ _97764) ^ [] : [-(function(13481 ^ [_314244, _314246]))], (13487 ^ _97764) ^ [] : [-(relation_dom(13481 ^ [_314244, _314246]) = complements_of_subsets(the_carrier(_314246), _314244))], (13489 ^ _97764) ^ [_315579] : [in(_315579, complements_of_subsets(the_carrier(_314246), _314244)), 13492 ^ _97764 : [(13493 ^ _97764) ^ [_315679] : [element(_315679, powerset(the_carrier(_314246))), _315679 = _315579, -(apply(13481 ^ [_314244, _314246], _315579) = subset_complement(the_carrier(_314246), _315679))]]]], 13472 ^ _97764 : [(13473 ^ _97764) ^ [] : [-(in(13471 ^ [_314244, _314246], complements_of_subsets(the_carrier(_314246), _314244)))], (13476 ^ _97764) ^ [_315292] : [-(element(13474 ^ [_314244, _314246, _315292], powerset(the_carrier(_314246))))], (13478 ^ _97764) ^ [_315328] : [-(13474 ^ [_314244, _314246, _315328] = 13471 ^ [_314244, _314246])], (13480 ^ _97764) ^ [_315366] : [_315366 = subset_complement(the_carrier(_314246), 13474 ^ [_314244, _314246, _315366])]], 13447 ^ _97764 : [(13470 ^ _97764) ^ [] : [13445 ^ [_314244, _314246] = 13446 ^ [_314244, _314246]], (13448 ^ _97764) ^ [] : [-(in(13444 ^ [_314244, _314246], complements_of_subsets(the_carrier(_314246), _314244)))], (13450 ^ _97764) ^ [_314784] : [element(_314784, powerset(the_carrier(_314246))), _314784 = 13444 ^ [_314244, _314246], -(13445 ^ [_314244, _314246] = subset_complement(the_carrier(_314246), _314784))], (13460 ^ _97764) ^ [_314959] : [element(_314959, powerset(the_carrier(_314246))), _314959 = 13444 ^ [_314244, _314246], -(13446 ^ [_314244, _314246] = subset_complement(the_carrier(_314246), _314959))]]], (13503 ^ _97764) ^ [_315872, _315874] : [one_sorted_str(_315874), element(_315872, powerset(powerset(the_carrier(_315874)))), 13552 ^ _97764 : [(13553 ^ _97764) ^ [] : [-(relation(13551 ^ [_315872, _315874]))], (13555 ^ _97764) ^ [] : [-(function(13551 ^ [_315872, _315874]))], (13557 ^ _97764) ^ [] : [-(relation_dom(13551 ^ [_315872, _315874]) = _315872)], (13559 ^ _97764) ^ [_317156] : [in(_317156, _315872), 13562 ^ _97764 : [(13563 ^ _97764) ^ [_317246] : [element(_317246, powerset(the_carrier(_315874))), _317246 = _317156, -(apply(13551 ^ [_315872, _315874], _317156) = subset_complement(the_carrier(_315874), _317246))]]]], 13542 ^ _97764 : [(13543 ^ _97764) ^ [] : [-(in(13541 ^ [_315872, _315874], _315872))], (13546 ^ _97764) ^ [_316884] : [-(element(13544 ^ [_315872, _315874, _316884], powerset(the_carrier(_315874))))], (13548 ^ _97764) ^ [_316920] : [-(13544 ^ [_315872, _315874, _316920] = 13541 ^ [_315872, _315874])], (13550 ^ _97764) ^ [_316958] : [_316958 = subset_complement(the_carrier(_315874), 13544 ^ [_315872, _315874, _316958])]], 13517 ^ _97764 : [(13540 ^ _97764) ^ [] : [13515 ^ [_315872, _315874] = 13516 ^ [_315872, _315874]], (13518 ^ _97764) ^ [] : [-(in(13514 ^ [_315872, _315874], _315872))], (13520 ^ _97764) ^ [_316382] : [element(_316382, powerset(the_carrier(_315874))), _316382 = 13514 ^ [_315872, _315874], -(13515 ^ [_315872, _315874] = subset_complement(the_carrier(_315874), _316382))], (13530 ^ _97764) ^ [_316557] : [element(_316557, powerset(the_carrier(_315874))), _316557 = 13514 ^ [_315872, _315874], -(13516 ^ [_315872, _315874] = subset_complement(the_carrier(_315874), _316557))]]], (13573 ^ _97764) ^ [] : [13628 ^ _97764 : [(13629 ^ _97764) ^ [_318489] : [ordinal(_318489), in(_318489, omega), 13636 ^ _97764 : [(13637 ^ _97764) ^ [_318640] : [element(_318640, powerset(powerset(_318489))), -(_318640 = empty_set), 13645 ^ _97764 : [(13646 ^ _97764) ^ [] : [-(in(13644 ^ [_318489, _318640], _318640))], (13648 ^ _97764) ^ [_318842] : [-(_318842 = 13644 ^ [_318489, _318640]), in(_318842, _318640), subset(13644 ^ [_318489, _318640], _318842)]]]]]], 13575 ^ _97764 : [(13576 ^ _97764) ^ [] : [-(ordinal(13574 ^ []))], (13611 ^ _97764) ^ [] : [-(in(13574 ^ [], omega))], (13614 ^ _97764) ^ [] : [-(element(13612 ^ [], powerset(powerset(13574 ^ []))))], (13616 ^ _97764) ^ [] : [13612 ^ [] = empty_set], (13618 ^ _97764) ^ [_318315] : [in(_318315, 13612 ^ []), 13622 ^ _97764 : [(13623 ^ _97764) ^ [] : [-(in(13621 ^ [_318315], 13612 ^ []))], (13625 ^ _97764) ^ [] : [-(subset(_318315, 13621 ^ [_318315]))], (13627 ^ _97764) ^ [] : [13621 ^ [_318315] = _318315]]], (13578 ^ _97764) ^ [_317631] : [ordinal(_317631), in(_317631, 13574 ^ []), in(_317631, omega), 13589 ^ _97764 : [(13590 ^ _97764) ^ [_317830] : [element(_317830, powerset(powerset(_317631))), -(_317830 = empty_set), 13598 ^ _97764 : [(13599 ^ _97764) ^ [] : [-(in(13597 ^ [_317631, _317830], _317830))], (13601 ^ _97764) ^ [_318032] : [-(_318032 = 13597 ^ [_317631, _317830]), in(_318032, _317830), subset(13597 ^ [_317631, _317830], _318032)]]]]]]], (13659 ^ _97764) ^ [_319066] : [-(relation(13657 ^ [_319066]))], (13661 ^ _97764) ^ [_319093] : [-(function(13657 ^ [_319093]))], (13663 ^ _97764) ^ [_319120] : [-(relation_dom(13657 ^ [_319120]) = _319120)], (13665 ^ _97764) ^ [_319146, _319148] : [in(_319146, _319148), -(apply(13657 ^ [_319148], _319146) = singleton(_319146))], (13671 ^ _97764) ^ [_319249, _319251] : [topological_space(_319251), top_str(_319251), element(_319249, powerset(the_carrier(_319251))), 13683 ^ _97764 : [(13684 ^ _97764) ^ [] : [-(element(13682 ^ [_319249, _319251], powerset(powerset(the_carrier(_319251)))))], (13686 ^ _97764) ^ [_319568] : [element(_319568, powerset(the_carrier(_319251))), 13689 ^ _97764 : [(13690 ^ _97764) ^ [] : [in(_319568, 13682 ^ [_319249, _319251]), 13694 ^ _97764 : [(13695 ^ _97764) ^ [] : [-(element(13693 ^ [_319249, _319251, _319568], powerset(the_carrier(_319251))))], (13697 ^ _97764) ^ [] : [-(13693 ^ [_319249, _319251, _319568] = _319568)], (13699 ^ _97764) ^ [] : [-(closed_subset(13693 ^ [_319249, _319251, _319568], _319251))], (13701 ^ _97764) ^ [] : [-(subset(_319249, _319568))]]], (13703 ^ _97764) ^ [] : [-(in(_319568, 13682 ^ [_319249, _319251])), 13704 ^ _97764 : [(13705 ^ _97764) ^ [_319863] : [element(_319863, powerset(the_carrier(_319251))), _319863 = _319568, closed_subset(_319863, _319251), subset(_319249, _319568)]]]]]]], (13721 ^ _97764) ^ [_320114, _320116] : [topological_space(_320116), top_str(_320116), element(_320114, powerset(powerset(the_carrier(_320116)))), 13733 ^ _97764 : [(13734 ^ _97764) ^ [] : [-(element(13732 ^ [_320114, _320116], powerset(powerset(the_carrier(_320116)))))], (13736 ^ _97764) ^ [_320393] : [element(_320393, powerset(the_carrier(_320116))), 13739 ^ _97764 : [(13740 ^ _97764) ^ [] : [in(_320393, 13732 ^ [_320114, _320116]), -(in(set_difference(cast_as_carrier_subset(_320116), _320393), _320114))], (13746 ^ _97764) ^ [] : [in(set_difference(cast_as_carrier_subset(_320116), _320393), _320114), -(in(_320393, 13732 ^ [_320114, _320116]))]]]]], (13752 ^ _97764) ^ [_320660, _320662] : [disjoint(_320662, _320660), -(disjoint(_320660, _320662))], (13758 ^ _97764) ^ [_320737, _320739] : [equipotent(_320739, _320737), -(equipotent(_320737, _320739))], (13764 ^ _97764) ^ [_320835, _320837, _320839, _320841] : [in(ordered_pair(_320841, _320839), cartesian_product2(_320837, _320835)), 13767 ^ _97764 : [(13768 ^ _97764) ^ [] : [-(in(_320841, _320837))], (13770 ^ _97764) ^ [] : [-(in(_320839, _320835))]]], (13772 ^ _97764) ^ [_320950, _320952, _320954, _320956] : [-(in(ordered_pair(_320956, _320954), cartesian_product2(_320952, _320950))), in(_320956, _320952), in(_320954, _320950)], (13782 ^ _97764) ^ [_321101] : [-(in(_321101, succ(_321101)))], (13784 ^ _97764) ^ [_321126, _321128] : [element(_321126, powerset(powerset(_321128))), 13787 ^ _97764 : [(13788 ^ _97764) ^ [] : [-(_321126 = empty_set), complements_of_subsets(_321128, _321126) = empty_set], (13794 ^ _97764) ^ [] : [-(complements_of_subsets(_321128, _321126) = empty_set), _321126 = empty_set]]], (13800 ^ _97764) ^ [_321367, _321369, _321371, _321373] : [unordered_pair(_321373, _321371) = unordered_pair(_321369, _321367), -(_321373 = _321369), -(_321373 = _321367)], (13810 ^ _97764) ^ [_321477, _321479, _321481] : [relation(_321477), 13813 ^ _97764 : [(13814 ^ _97764) ^ [] : [in(_321481, relation_rng(relation_rng_restriction(_321479, _321477))), 13817 ^ _97764 : [(13818 ^ _97764) ^ [] : [-(in(_321481, _321479))], (13820 ^ _97764) ^ [] : [-(in(_321481, relation_rng(_321477)))]]], (13822 ^ _97764) ^ [] : [-(in(_321481, relation_rng(relation_rng_restriction(_321479, _321477)))), in(_321481, _321479), in(_321481, relation_rng(_321477))]]], (13832 ^ _97764) ^ [_321783, _321785] : [relation(_321783), -(subset(relation_rng(relation_rng_restriction(_321785, _321783)), _321785))], (13838 ^ _97764) ^ [_321868, _321870] : [relation(_321868), -(subset(relation_rng_restriction(_321870, _321868), _321868))], (13844 ^ _97764) ^ [_321949, _321951] : [relation(_321949), -(subset(relation_rng(relation_rng_restriction(_321951, _321949)), relation_rng(_321949)))], (13850 ^ _97764) ^ [_322038, _322040, _322042] : [subset(_322042, _322040), 13853 ^ _97764 : [(13854 ^ _97764) ^ [] : [-(subset(cartesian_product2(_322042, _322038), cartesian_product2(_322040, _322038)))], (13856 ^ _97764) ^ [] : [-(subset(cartesian_product2(_322038, _322042), cartesian_product2(_322038, _322040)))]]], (13858 ^ _97764) ^ [_322167, _322169] : [relation(_322167), -(relation_rng(relation_rng_restriction(_322169, _322167)) = set_intersection2(relation_rng(_322167), _322169))], (13864 ^ _97764) ^ [_322262, _322264, _322266, _322268] : [-(subset(cartesian_product2(_322268, _322264), cartesian_product2(_322266, _322262))), subset(_322268, _322266), subset(_322264, _322262)], (13874 ^ _97764) ^ [_322411, _322413] : [element(_322411, powerset(powerset(_322413))), -(_322411 = empty_set), -(meet_of_subsets(_322413, complements_of_subsets(_322413, _322411)) = subset_complement(_322413, union_of_subsets(_322413, _322411)))], (13884 ^ _97764) ^ [_322535] : [one_sorted_str(_322535), -(cast_as_carrier_subset(_322535) = the_carrier(_322535))], (13890 ^ _97764) ^ [_322616, _322618, _322620] : [relation_of2_as_subset(_322616, _322620, _322618), 13893 ^ _97764 : [(13894 ^ _97764) ^ [] : [-(subset(relation_dom(_322616), _322620))], (13896 ^ _97764) ^ [] : [-(subset(relation_rng(_322616), _322618))]]], (13898 ^ _97764) ^ [_322731, _322733] : [element(_322731, powerset(powerset(_322733))), -(_322731 = empty_set), -(union_of_subsets(_322733, complements_of_subsets(_322733, _322731)) = subset_complement(_322733, meet_of_subsets(_322733, _322731)))], (13908 ^ _97764) ^ [_322855, _322857] : [subset(_322857, _322855), -(set_union2(_322857, _322855) = _322855)], (13915 ^ _97764) ^ [_323022] : [-(in(_323022, 13913 ^ [_323022]))], (13917 ^ _97764) ^ [_323050, _323052, _323054] : [-(in(_323050, 13913 ^ [_323054])), in(_323052, 13913 ^ [_323054]), subset(_323050, _323052)], (13927 ^ _97764) ^ [_323203, _323205] : [in(_323203, 13913 ^ [_323205]), -(in(powerset(_323203), 13913 ^ [_323205]))], (13933 ^ _97764) ^ [_323300, _323302] : [subset(_323300, 13913 ^ [_323302]), -(are_equipotent(_323300, 13913 ^ [_323302])), -(in(_323300, 13913 ^ [_323302]))], (13943 ^ _97764) ^ [_323430] : [-(empty_carrier(_323430)), topological_space(_323430), top_str(_323430), 13954 ^ _97764 : [(13973 ^ _97764) ^ [] : [13975 ^ _97764 : [(13976 ^ _97764) ^ [] : [-(element(13974 ^ [_323430], powerset(powerset(the_carrier(_323430)))))], (13978 ^ _97764) ^ [] : [-(centered(13974 ^ [_323430]))], (13980 ^ _97764) ^ [] : [-(closed_subsets(13974 ^ [_323430], _323430))], (13982 ^ _97764) ^ [] : [-(meet_of_subsets(the_carrier(_323430), 13974 ^ [_323430]) = empty_set)]], -(compact_top_space(_323430))], (13955 ^ _97764) ^ [] : [compact_top_space(_323430), 13958 ^ _97764 : [(13959 ^ _97764) ^ [_323667] : [element(_323667, powerset(powerset(the_carrier(_323430)))), centered(_323667), closed_subsets(_323667, _323430), meet_of_subsets(the_carrier(_323430), _323667) = empty_set]]]]], (13986 ^ _97764) ^ [_324011, _324013] : [-(finite(_324013)), subset(_324013, _324011), finite(_324011)], (13996 ^ _97764) ^ [_324136] : [one_sorted_str(_324136), 13999 ^ _97764 : [(14000 ^ _97764) ^ [_324210] : [element(_324210, powerset(powerset(the_carrier(_324136)))), 14003 ^ _97764 : [(14004 ^ _97764) ^ [] : [finite(complements_of_subsets(the_carrier(_324136), _324210)), -(finite(_324210))], (14010 ^ _97764) ^ [] : [finite(_324210), -(finite(complements_of_subsets(the_carrier(_324136), _324210)))]]]]], (14016 ^ _97764) ^ [_324442, _324444, _324446] : [relation(_324442), -(relation_dom_restriction(relation_rng_restriction(_324446, _324442), _324444) = relation_rng_restriction(_324446, relation_dom_restriction(_324442, _324444)))], (14022 ^ _97764) ^ [_324543, _324545, _324547] : [relation(_324543), 14025 ^ _97764 : [(14026 ^ _97764) ^ [] : [in(_324547, relation_image(_324543, _324545)), 14030 ^ _97764 : [(14031 ^ _97764) ^ [] : [-(in(14029 ^ [_324543, _324545, _324547], relation_dom(_324543)))], (14033 ^ _97764) ^ [] : [-(in(ordered_pair(14029 ^ [_324543, _324545, _324547], _324547), _324543))], (14035 ^ _97764) ^ [] : [-(in(14029 ^ [_324543, _324545, _324547], _324545))]]], (14037 ^ _97764) ^ [] : [-(in(_324547, relation_image(_324543, _324545))), 14038 ^ _97764 : [(14039 ^ _97764) ^ [_324798] : [in(_324798, relation_dom(_324543)), in(ordered_pair(_324798, _324547), _324543), in(_324798, _324545)]]]]], (14051 ^ _97764) ^ [_324981, _324983] : [relation(_324981), -(subset(relation_image(_324981, _324983), relation_rng(_324981)))], (14057 ^ _97764) ^ [_325066, _325068] : [-(subset(relation_image(_325066, relation_inverse_image(_325066, _325068)), _325068)), relation(_325066), function(_325066)], (14067 ^ _97764) ^ [_325203, _325205] : [relation(_325203), -(relation_image(_325203, _325205) = relation_image(_325203, set_intersection2(relation_dom(_325203), _325205)))], (14073 ^ _97764) ^ [_325300, _325302] : [relation(_325300), subset(_325302, relation_dom(_325300)), -(subset(_325302, relation_inverse_image(_325300, relation_image(_325300, _325302))))], (14083 ^ _97764) ^ [_325443] : [relation(_325443), -(relation_image(_325443, relation_dom(_325443)) = relation_rng(_325443))], (14089 ^ _97764) ^ [_325530, _325532] : [relation(_325530), function(_325530), subset(_325532, relation_rng(_325530)), -(relation_image(_325530, relation_inverse_image(_325530, _325532)) = _325532)], (14103 ^ _97764) ^ [_325725, _325727, _325729, _325731] : [relation_of2_as_subset(_325725, _325727, _325731), subset(relation_rng(_325725), _325729), -(relation_of2_as_subset(_325725, _325727, _325729))], (14113 ^ _97764) ^ [_325870, _325872] : [finite(_325872), -(finite(set_intersection2(_325872, _325870)))], (14119 ^ _97764) ^ [_325949] : [one_sorted_str(_325949), 14122 ^ _97764 : [(14123 ^ _97764) ^ [_326020] : [element(_326020, powerset(the_carrier(_325949))), -(subset_intersection2(the_carrier(_325949), _326020, cast_as_carrier_subset(_325949)) = _326020)]]], (14129 ^ _97764) ^ [_326125] : [antisymmetric_relstr(_326125), rel_str(_326125), 14136 ^ _97764 : [(14137 ^ _97764) ^ [_326285] : [ex_sup_of_relstr_set(_326125, _326285), 14141 ^ _97764 : [(14142 ^ _97764) ^ [] : [-(element(14140 ^ [_326125, _326285], the_carrier(_326125)))], (14144 ^ _97764) ^ [] : [-(relstr_set_smaller(_326125, _326285, 14140 ^ [_326125, _326285]))], (14146 ^ _97764) ^ [_326477] : [element(_326477, the_carrier(_326125)), relstr_set_smaller(_326125, _326285, _326477), -(related(_326125, 14140 ^ [_326125, _326285], _326477))]]], (14156 ^ _97764) ^ [_326636] : [-(ex_sup_of_relstr_set(_326125, _326636)), 14157 ^ _97764 : [(14158 ^ _97764) ^ [_326706] : [element(_326706, the_carrier(_326125)), relstr_set_smaller(_326125, _326636, _326706), 14166 ^ _97764 : [(14167 ^ _97764) ^ [] : [-(element(14165 ^ [_326125, _326636, _326706], the_carrier(_326125)))], (14169 ^ _97764) ^ [] : [-(relstr_set_smaller(_326125, _326636, 14165 ^ [_326125, _326636, _326706]))], (14171 ^ _97764) ^ [] : [related(_326125, _326706, 14165 ^ [_326125, _326636, _326706])]]]]]]], (14175 ^ _97764) ^ [_327004] : [relation(_327004), 14178 ^ _97764 : [(14179 ^ _97764) ^ [_327072] : [relation(_327072), -(relation_rng(relation_composition(_327004, _327072)) = relation_image(_327072, relation_rng(_327004)))]]], (14185 ^ _97764) ^ [_327171, _327173, _327175] : [relation(_327171), 14188 ^ _97764 : [(14189 ^ _97764) ^ [] : [in(_327175, relation_inverse_image(_327171, _327173)), 14193 ^ _97764 : [(14194 ^ _97764) ^ [] : [-(in(14192 ^ [_327171, _327173, _327175], relation_rng(_327171)))], (14196 ^ _97764) ^ [] : [-(in(ordered_pair(_327175, 14192 ^ [_327171, _327173, _327175]), _327171))], (14198 ^ _97764) ^ [] : [-(in(14192 ^ [_327171, _327173, _327175], _327173))]]], (14200 ^ _97764) ^ [] : [-(in(_327175, relation_inverse_image(_327171, _327173))), 14201 ^ _97764 : [(14202 ^ _97764) ^ [_327426] : [in(_327426, relation_rng(_327171)), in(ordered_pair(_327175, _327426), _327171), in(_327426, _327173)]]]]], (14214 ^ _97764) ^ [_327609, _327611] : [relation(_327609), -(subset(relation_inverse_image(_327609, _327611), relation_dom(_327609)))], (14220 ^ _97764) ^ [_327694, _327696, _327698, _327700] : [relation_of2_as_subset(_327694, _327696, _327700), subset(_327700, _327698), -(relation_of2_as_subset(_327694, _327696, _327698))], (14230 ^ _97764) ^ [_327835] : [top_str(_327835), 14233 ^ _97764 : [(14234 ^ _97764) ^ [_327911] : [element(_327911, powerset(powerset(the_carrier(_327835)))), 14237 ^ _97764 : [(14238 ^ _97764) ^ [] : [closed_subsets(_327911, _327835), -(open_subsets(complements_of_subsets(the_carrier(_327835), _327911), _327835))], (14244 ^ _97764) ^ [] : [open_subsets(complements_of_subsets(the_carrier(_327835), _327911), _327835), -(closed_subsets(_327911, _327835))]]]]], (14250 ^ _97764) ^ [_328149, _328151, _328153] : [relation(_328149), 14253 ^ _97764 : [(14254 ^ _97764) ^ [] : [in(_328153, relation_restriction(_328149, _328151)), 14257 ^ _97764 : [(14258 ^ _97764) ^ [] : [-(in(_328153, _328149))], (14260 ^ _97764) ^ [] : [-(in(_328153, cartesian_product2(_328151, _328151)))]]], (14262 ^ _97764) ^ [] : [-(in(_328153, relation_restriction(_328149, _328151))), in(_328153, _328149), in(_328153, cartesian_product2(_328151, _328151))]]], (14272 ^ _97764) ^ [_328452] : [antisymmetric_relstr(_328452), rel_str(_328452), 14279 ^ _97764 : [(14280 ^ _97764) ^ [_328612] : [ex_inf_of_relstr_set(_328452, _328612), 14284 ^ _97764 : [(14285 ^ _97764) ^ [] : [-(element(14283 ^ [_328452, _328612], the_carrier(_328452)))], (14287 ^ _97764) ^ [] : [-(relstr_element_smaller(_328452, _328612, 14283 ^ [_328452, _328612]))], (14289 ^ _97764) ^ [_328804] : [element(_328804, the_carrier(_328452)), relstr_element_smaller(_328452, _328612, _328804), -(related(_328452, _328804, 14283 ^ [_328452, _328612]))]]], (14299 ^ _97764) ^ [_328963] : [-(ex_inf_of_relstr_set(_328452, _328963)), 14300 ^ _97764 : [(14301 ^ _97764) ^ [_329033] : [element(_329033, the_carrier(_328452)), relstr_element_smaller(_328452, _328963, _329033), 14309 ^ _97764 : [(14310 ^ _97764) ^ [] : [-(element(14308 ^ [_328452, _328963, _329033], the_carrier(_328452)))], (14312 ^ _97764) ^ [] : [-(relstr_element_smaller(_328452, _328963, 14308 ^ [_328452, _328963, _329033]))], (14314 ^ _97764) ^ [] : [related(_328452, 14308 ^ [_328452, _328963, _329033], _329033)]]]]]]], (14318 ^ _97764) ^ [_329331, _329333] : [relation(_329331), -(_329333 = empty_set), subset(_329333, relation_rng(_329331)), relation_inverse_image(_329331, _329333) = empty_set], (14332 ^ _97764) ^ [_329524, _329526, _329528] : [relation(_329524), subset(_329528, _329526), -(subset(relation_inverse_image(_329524, _329528), relation_inverse_image(_329524, _329526)))], (14342 ^ _97764) ^ [_329667, _329669] : [relation(_329667), function(_329667), finite(_329669), -(finite(relation_image(_329667, _329669)))], (14356 ^ _97764) ^ [_329848] : [one_sorted_str(_329848), 14359 ^ _97764 : [(14360 ^ _97764) ^ [_329924] : [element(_329924, powerset(the_carrier(_329848))), -(subset_complement(the_carrier(_329848), _329924) = subset_difference(the_carrier(_329848), cast_as_carrier_subset(_329848), _329924))]]], (14366 ^ _97764) ^ [_330039] : [top_str(_330039), 14369 ^ _97764 : [(14370 ^ _97764) ^ [_330115] : [element(_330115, powerset(powerset(the_carrier(_330039)))), 14373 ^ _97764 : [(14374 ^ _97764) ^ [] : [open_subsets(_330115, _330039), -(closed_subsets(complements_of_subsets(the_carrier(_330039), _330115), _330039))], (14380 ^ _97764) ^ [] : [closed_subsets(complements_of_subsets(the_carrier(_330039), _330115), _330039), -(open_subsets(_330115, _330039))]]]]], (14386 ^ _97764) ^ [_330353, _330355] : [relation(_330353), -(relation_restriction(_330353, _330355) = relation_dom_restriction(relation_rng_restriction(_330355, _330353), _330355))], (14392 ^ _97764) ^ [_330446, _330448] : [-(subset(set_intersection2(_330448, _330446), _330448))], (14394 ^ _97764) ^ [_330474] : [finite(_330474), 14397 ^ _97764 : [(14398 ^ _97764) ^ [_330577] : [element(_330577, powerset(powerset(_330474))), -(_330577 = empty_set), 14406 ^ _97764 : [(14407 ^ _97764) ^ [] : [-(in(14405 ^ [_330474, _330577], _330577))], (14409 ^ _97764) ^ [_330779] : [-(_330779 = 14405 ^ [_330474, _330577]), in(_330779, _330577), subset(14405 ^ [_330474, _330577], _330779)]]]]], (14419 ^ _97764) ^ [_330952, _330954] : [relation(_330952), -(relation_restriction(_330952, _330954) = relation_rng_restriction(_330954, relation_dom_restriction(_330952, _330954)))], (14425 ^ _97764) ^ [_331045] : [-(bottom_of_relstr(boole_POSet(_331045)) = empty_set)], (14427 ^ _97764) ^ [_331072, _331074, _331076] : [relation(_331072), in(_331076, relation_field(relation_restriction(_331072, _331074))), 14434 ^ _97764 : [(14435 ^ _97764) ^ [] : [-(in(_331076, relation_field(_331072)))], (14437 ^ _97764) ^ [] : [-(in(_331076, _331074))]]], (14439 ^ _97764) ^ [_331243, _331245, _331247] : [-(subset(_331247, set_intersection2(_331245, _331243))), subset(_331247, _331245), subset(_331247, _331243)], (14449 ^ _97764) ^ [_331382] : [-(set_union2(_331382, empty_set) = _331382)], (14451 ^ _97764) ^ [_331408, _331410] : [element(_331408, the_carrier(boole_lattice(_331410))), 14454 ^ _97764 : [(14455 ^ _97764) ^ [_331507] : [element(_331507, the_carrier(boole_lattice(_331410))), 14458 ^ _97764 : [(14459 ^ _97764) ^ [] : [-(join(boole_lattice(_331410), _331408, _331507) = set_union2(_331408, _331507))], (14461 ^ _97764) ^ [] : [-(meet(boole_lattice(_331410), _331408, _331507) = set_intersection2(_331408, _331507))]]]]], (14463 ^ _97764) ^ [_331660, _331662] : [in(_331662, _331660), -(element(_331662, _331660))], (14469 ^ _97764) ^ [_331737] : [-(empty_carrier(_331737)), transitive_relstr(_331737), rel_str(_331737), 14480 ^ _97764 : [(14481 ^ _97764) ^ [_331950] : [element(_331950, powerset(the_carrier(_331737))), 14484 ^ _97764 : [(14508 ^ _97764) ^ [] : [14524 ^ _97764 : [(14525 ^ _97764) ^ [] : [empty(_331950)], (14527 ^ _97764) ^ [] : [-(directed_subset(_331950, _331737))]], 14510 ^ _97764 : [(14511 ^ _97764) ^ [] : [-(finite(14509 ^ [_331737, _331950]))], (14513 ^ _97764) ^ [] : [-(element(14509 ^ [_331737, _331950], powerset(_331950)))], (14515 ^ _97764) ^ [_332492] : [element(_332492, the_carrier(_331737)), in(_332492, _331950), relstr_set_smaller(_331737, 14509 ^ [_331737, _331950], _332492)]]], (14485 ^ _97764) ^ [] : [-(empty(_331950)), directed_subset(_331950, _331737), 14492 ^ _97764 : [(14493 ^ _97764) ^ [_332160] : [14501 ^ _97764 : [(14502 ^ _97764) ^ [] : [-(element(14500 ^ [_331737, _331950, _332160], the_carrier(_331737)))], (14504 ^ _97764) ^ [] : [-(in(14500 ^ [_331737, _331950, _332160], _331950))], (14506 ^ _97764) ^ [] : [-(relstr_set_smaller(_331737, _332160, 14500 ^ [_331737, _331950, _332160]))]], finite(_332160), element(_332160, powerset(_331950))]]]]]]], (14529 ^ _97764) ^ [_332717, _332719, _332721] : [-(subset(_332721, _332717)), subset(_332721, _332719), subset(_332719, _332717)], (14539 ^ _97764) ^ [_332848] : [-(the_carrier(incl_POSet(_332848)) = _332848)], (14541 ^ _97764) ^ [_332872] : [-(the_InternalRel(incl_POSet(_332872)) = inclusion_order(_332872))], (14543 ^ _97764) ^ [] : [-(powerset(empty_set) = singleton(empty_set))], (14545 ^ _97764) ^ [_332921, _332923, _332925] : [relation(_332921), in(ordered_pair(_332925, _332923), _332921), 14552 ^ _97764 : [(14553 ^ _97764) ^ [] : [-(in(_332925, relation_dom(_332921)))], (14555 ^ _97764) ^ [] : [-(in(_332923, relation_rng(_332921)))]]], (14557 ^ _97764) ^ [_333092, _333094] : [relation(_333092), 14560 ^ _97764 : [(14561 ^ _97764) ^ [] : [-(subset(relation_field(relation_restriction(_333092, _333094)), relation_field(_333092)))], (14563 ^ _97764) ^ [] : [-(subset(relation_field(relation_restriction(_333092, _333094)), _333094))]]], (14565 ^ _97764) ^ [_333217, _333219] : [relation(_333217), function(_333217), 14572 ^ _97764 : [(14573 ^ _97764) ^ [_333356] : [relation(_333356), function(_333356), 14580 ^ _97764 : [(14581 ^ _97764) ^ [] : [in(_333219, relation_dom(relation_composition(_333356, _333217))), 14584 ^ _97764 : [(14585 ^ _97764) ^ [] : [-(in(_333219, relation_dom(_333356)))], (14587 ^ _97764) ^ [] : [-(in(apply(_333356, _333219), relation_dom(_333217)))]]], (14589 ^ _97764) ^ [] : [-(in(_333219, relation_dom(relation_composition(_333356, _333217)))), in(_333219, relation_dom(_333356)), in(apply(_333356, _333219), relation_dom(_333217))]]]]], (14599 ^ _97764) ^ [_333737, _333739, _333741, _333743] : [function(_333737), quasi_total(_333737, _333743, _333741), relation_of2_as_subset(_333737, _333743, _333741), 14610 ^ _97764 : [(14611 ^ _97764) ^ [_333946] : [relation(_333946), function(_333946), in(_333739, _333743), -(_333741 = empty_set), -(apply(relation_composition(_333737, _333946), _333739) = apply(_333946, apply(_333737, _333739)))]]], (14629 ^ _97764) ^ [_334188] : [epsilon_transitive(_334188), 14632 ^ _97764 : [(14633 ^ _97764) ^ [_334252] : [ordinal(_334252), proper_subset(_334188, _334252), -(in(_334188, _334252))]]], (14643 ^ _97764) ^ [_334383] : [relation(_334383), -(subset(_334383, cartesian_product2(relation_dom(_334383), relation_rng(_334383))))], (14649 ^ _97764) ^ [_334470, _334472, _334474] : [relation(_334470), -(subset(fiber(relation_restriction(_334470, _334474), _334472), fiber(_334470, _334472)))], (14655 ^ _97764) ^ [_334565, _334567] : [relation(_334565), function(_334565), 14662 ^ _97764 : [(14663 ^ _97764) ^ [_334703] : [relation(_334703), function(_334703), in(_334567, relation_dom(relation_composition(_334703, _334565))), -(apply(relation_composition(_334703, _334565), _334567) = apply(_334565, apply(_334703, _334567)))]]], (14677 ^ _97764) ^ [_334928] : [one_sorted_str(_334928), 14680 ^ _97764 : [(14681 ^ _97764) ^ [_335007] : [element(_335007, powerset(the_carrier(_334928))), -(subset_difference(the_carrier(_334928), cast_as_carrier_subset(_334928), subset_difference(the_carrier(_334928), cast_as_carrier_subset(_334928), _335007)) = _335007)]]], (14687 ^ _97764) ^ [_335128, _335130, _335132] : [relation_of2_as_subset(_335128, _335130, _335132), 14690 ^ _97764 : [(14691 ^ _97764) ^ [] : [14693 ^ _97764 : [(14694 ^ _97764) ^ [] : [-(in(14692 ^ [_335128, _335130, _335132], _335130))], (14696 ^ _97764) ^ [_335308] : [in(ordered_pair(14692 ^ [_335128, _335130, _335132], _335308), _335128)]], -(relation_dom_as_subset(_335130, _335132, _335128) = _335130)], (14700 ^ _97764) ^ [] : [relation_dom_as_subset(_335130, _335132, _335128) = _335130, 14703 ^ _97764 : [(14704 ^ _97764) ^ [_335423] : [in(_335423, _335130), -(in(ordered_pair(_335423, 14707 ^ [_335128, _335130, _335132, _335423]), _335128))]]]]], (14711 ^ _97764) ^ [_335538, _335540] : [relation(_335538), reflexive(_335538), -(reflexive(relation_restriction(_335538, _335540)))], (14721 ^ _97764) ^ [_335667, _335669] : [relation(_335667), function(_335667), 14728 ^ _97764 : [(14729 ^ _97764) ^ [_335802] : [relation(_335802), function(_335802), in(_335669, relation_dom(_335667)), -(apply(relation_composition(_335667, _335802), _335669) = apply(_335802, apply(_335667, _335669)))]]], (14743 ^ _97764) ^ [_336021] : [14758 ^ _97764 : [(14759 ^ _97764) ^ [_336247] : [element(_336247, the_carrier(_336021)), 14762 ^ _97764 : [(14763 ^ _97764) ^ [_336321] : [element(_336321, the_carrier(_336021)), -(below(_336021, meet_commut(_336021, _336247, _336321), _336247))]]]], -(empty_carrier(_336021)), meet_commutative(_336021), meet_absorbing(_336021), latt_str(_336021)], (14769 ^ _97764) ^ [_336422, _336424] : [ordinal(_336422), in(_336424, _336422), -(ordinal(_336424))], (14779 ^ _97764) ^ [_336547, _336549, _336551] : [relation_of2_as_subset(_336547, _336551, _336549), 14782 ^ _97764 : [(14783 ^ _97764) ^ [] : [14785 ^ _97764 : [(14786 ^ _97764) ^ [] : [-(in(14784 ^ [_336547, _336549, _336551], _336549))], (14788 ^ _97764) ^ [_336727] : [in(ordered_pair(_336727, 14784 ^ [_336547, _336549, _336551]), _336547)]], -(relation_rng_as_subset(_336551, _336549, _336547) = _336549)], (14792 ^ _97764) ^ [] : [relation_rng_as_subset(_336551, _336549, _336547) = _336549, 14795 ^ _97764 : [(14796 ^ _97764) ^ [_336842] : [in(_336842, _336549), -(in(ordered_pair(14799 ^ [_336547, _336549, _336551, _336842], _336842), _336547))]]]]], (14803 ^ _97764) ^ [_336957, _336959] : [relation(_336957), connected(_336957), -(connected(relation_restriction(_336957, _336959)))], (14813 ^ _97764) ^ [_337086] : [ordinal(_337086), 14816 ^ _97764 : [(14817 ^ _97764) ^ [_337164] : [ordinal(_337164), -(in(_337086, _337164)), -(_337086 = _337164), -(in(_337164, _337086))]]], (14831 ^ _97764) ^ [_337277, _337279] : [relation(_337277), transitive(_337277), -(transitive(relation_restriction(_337277, _337279)))], (14841 ^ _97764) ^ [_337406] : [antisymmetric_relstr(_337406), rel_str(_337406), 14848 ^ _97764 : [(14849 ^ _97764) ^ [_337542] : [element(_337542, the_carrier(_337406)), 14852 ^ _97764 : [(14853 ^ _97764) ^ [_337625] : [element(_337625, the_carrier(_337406)), -(_337542 = _337625), related(_337406, _337542, _337625), related(_337406, _337625, _337542)]]]]], (14867 ^ _97764) ^ [_337830] : [relation(_337830), 14870 ^ _97764 : [(14871 ^ _97764) ^ [_337908] : [relation(_337908), subset(_337830, _337908), 14878 ^ _97764 : [(14879 ^ _97764) ^ [] : [-(subset(relation_dom(_337830), relation_dom(_337908)))], (14881 ^ _97764) ^ [] : [-(subset(relation_rng(_337830), relation_rng(_337908)))]]]]], (14883 ^ _97764) ^ [_338081, _338083] : [relation(_338081), antisymmetric(_338081), -(antisymmetric(relation_restriction(_338081, _338083)))], (14893 ^ _97764) ^ [_338210, _338212] : [relation(_338210), well_orders(_338210, _338212), 14900 ^ _97764 : [(14901 ^ _97764) ^ [] : [-(relation_field(relation_restriction(_338210, _338212)) = _338212)], (14903 ^ _97764) ^ [] : [-(well_ordering(relation_restriction(_338210, _338212)))]]], (14905 ^ _97764) ^ [_338377] : [relation(_338377), function(_338377), finite(relation_dom(_338377)), -(finite(relation_rng(_338377)))], (14919 ^ _97764) ^ [_338554] : [-(empty_carrier(_338554)), join_commutative(_338554), join_semilatt_str(_338554), 14930 ^ _97764 : [(14931 ^ _97764) ^ [_338741] : [element(_338741, the_carrier(_338554)), 14934 ^ _97764 : [(14935 ^ _97764) ^ [_338824] : [element(_338824, the_carrier(_338554)), -(_338741 = _338824), below(_338554, _338741, _338824), below(_338554, _338824, _338741)]]]]], (14949 ^ _97764) ^ [_339031] : [transitive_relstr(_339031), rel_str(_339031), 14956 ^ _97764 : [(14957 ^ _97764) ^ [_339181] : [element(_339181, the_carrier(_339031)), 14960 ^ _97764 : [(14961 ^ _97764) ^ [_339278] : [element(_339278, the_carrier(_339031)), 14964 ^ _97764 : [(14965 ^ _97764) ^ [_339364] : [element(_339364, the_carrier(_339031)), -(related(_339031, _339181, _339364)), related(_339031, _339181, _339278), related(_339031, _339278, _339364)]]]]]]], (14980 ^ _97764) ^ [_339579] : [-(relation(14978 ^ [_339579]))], (14982 ^ _97764) ^ [_339603] : [-(well_orders(14978 ^ [_339603], _339603))], (14984 ^ _97764) ^ [_339633, _339635, _339637] : [subset(_339637, _339635), -(subset(set_intersection2(_339637, _339633), set_intersection2(_339635, _339633)))], (14990 ^ _97764) ^ [_339724, _339726] : [-(empty_carrier(_339724)), lattice(_339724), latt_str(_339724), 15001 ^ _97764 : [(15002 ^ _97764) ^ [_339903] : [element(_339903, the_carrier(_339724)), 15005 ^ _97764 : [(15006 ^ _97764) ^ [] : [latt_set_smaller(_339724, _339903, _339726), -(relstr_element_smaller(poset_of_lattice(_339724), _339726, cast_to_el_of_LattPOSet(_339724, _339903)))], (15012 ^ _97764) ^ [] : [relstr_element_smaller(poset_of_lattice(_339724), _339726, cast_to_el_of_LattPOSet(_339724, _339903)), -(latt_set_smaller(_339724, _339903, _339726))]]]]], (15018 ^ _97764) ^ [_340148] : [-(empty(_340148)), 15024 ^ _97764 : [(15025 ^ _97764) ^ [] : [-(in(15023 ^ [_340148], _340148))], (15027 ^ _97764) ^ [] : [-(15023 ^ [_340148] = empty_set)]], 15029 ^ _97764 : [(15030 ^ _97764) ^ [] : [-(relation(15028 ^ [_340148]))], (15032 ^ _97764) ^ [] : [-(function(15028 ^ [_340148]))], (15034 ^ _97764) ^ [] : [-(relation_dom(15028 ^ [_340148]) = _340148)], (15036 ^ _97764) ^ [_340434] : [in(_340434, _340148), -(in(apply(15028 ^ [_340148], _340434), _340434))]]], (15042 ^ _97764) ^ [_340541, _340543] : [subset(_340543, _340541), -(set_intersection2(_340543, _340541) = _340543)], (15048 ^ _97764) ^ [_340624, _340626] : [-(empty_carrier(_340624)), lattice(_340624), latt_str(_340624), 15059 ^ _97764 : [(15060 ^ _97764) ^ [_340805] : [element(_340805, the_carrier(poset_of_lattice(_340624))), 15063 ^ _97764 : [(15064 ^ _97764) ^ [] : [relstr_element_smaller(poset_of_lattice(_340624), _340626, _340805), -(latt_set_smaller(_340624, cast_to_el_of_lattice(_340624, _340805), _340626))], (15070 ^ _97764) ^ [] : [latt_set_smaller(_340624, cast_to_el_of_lattice(_340624, _340805), _340626), -(relstr_element_smaller(poset_of_lattice(_340624), _340626, _340805))]]]]], (15076 ^ _97764) ^ [_341055] : [top_str(_341055), 15079 ^ _97764 : [(15080 ^ _97764) ^ [_341129] : [element(_341129, powerset(the_carrier(_341055))), 15083 ^ _97764 : [(15084 ^ _97764) ^ [] : [closed_subset(_341129, _341055), -(open_subset(subset_complement(the_carrier(_341055), _341129), _341055))], (15090 ^ _97764) ^ [] : [open_subset(subset_complement(the_carrier(_341055), _341129), _341055), -(closed_subset(_341129, _341055))]]]]], (15096 ^ _97764) ^ [_341363] : [15111 ^ _97764 : [(15112 ^ _97764) ^ [_341585] : [-(join_of_latt_set(_341363, _341585) = join_on_relstr(poset_of_lattice(_341363), _341585))], (15114 ^ _97764) ^ [_341613] : [-(meet_of_latt_set(_341363, _341613) = meet_on_relstr(poset_of_lattice(_341363), _341613))]], -(empty_carrier(_341363)), lattice(_341363), complete_latt_str(_341363), latt_str(_341363)], (15116 ^ _97764) ^ [_341650] : [-(set_intersection2(_341650, empty_set) = empty_set)], (15118 ^ _97764) ^ [_341676, _341678] : [element(_341676, the_carrier(boole_lattice(_341678))), 15121 ^ _97764 : [(15122 ^ _97764) ^ [_341760] : [element(_341760, the_carrier(boole_lattice(_341678))), 15125 ^ _97764 : [(15126 ^ _97764) ^ [] : [below(boole_lattice(_341678), _341676, _341760), -(subset(_341676, _341760))], (15132 ^ _97764) ^ [] : [subset(_341676, _341760), -(below(boole_lattice(_341678), _341676, _341760))]]]]], (15138 ^ _97764) ^ [_341994, _341996] : [element(_341996, _341994), -(empty(_341994)), -(in(_341996, _341994))], (15148 ^ _97764) ^ [_342082, _342084] : [-(_342084 = _342082), 15152 ^ _97764 : [(15153 ^ _97764) ^ [] : [-(in(15149 ^ [_342082, _342084], _342084))], (15155 ^ _97764) ^ [] : [in(15149 ^ [_342082, _342084], _342082)]], 15156 ^ _97764 : [(15157 ^ _97764) ^ [] : [-(in(15149 ^ [_342082, _342084], _342082))], (15159 ^ _97764) ^ [] : [in(15149 ^ [_342082, _342084], _342084)]]], (15163 ^ _97764) ^ [_342318] : [-(reflexive(inclusion_relation(_342318)))], (15165 ^ _97764) ^ [_342342] : [-(subset(empty_set, _342342))], (15167 ^ _97764) ^ [_342365, _342367] : [element(_342365, the_carrier(boole_POSet(_342367))), 15170 ^ _97764 : [(15171 ^ _97764) ^ [_342449] : [element(_342449, the_carrier(boole_POSet(_342367))), 15174 ^ _97764 : [(15175 ^ _97764) ^ [] : [related_reflexive(boole_POSet(_342367), _342365, _342449), -(subset(_342365, _342449))], (15181 ^ _97764) ^ [] : [subset(_342365, _342449), -(related_reflexive(boole_POSet(_342367), _342365, _342449))]]]]], (15187 ^ _97764) ^ [_342683, _342685] : [-(empty_carrier(_342683)), lattice(_342683), latt_str(_342683), 15198 ^ _97764 : [(15199 ^ _97764) ^ [_342862] : [element(_342862, the_carrier(_342683)), 15202 ^ _97764 : [(15203 ^ _97764) ^ [] : [latt_element_smaller(_342683, _342862, _342685), -(relstr_set_smaller(poset_of_lattice(_342683), _342685, cast_to_el_of_LattPOSet(_342683, _342862)))], (15209 ^ _97764) ^ [] : [relstr_set_smaller(poset_of_lattice(_342683), _342685, cast_to_el_of_LattPOSet(_342683, _342862)), -(latt_element_smaller(_342683, _342862, _342685))]]]]], (15215 ^ _97764) ^ [_343108, _343110, _343112] : [relation(_343108), in(ordered_pair(_343112, _343110), _343108), 15222 ^ _97764 : [(15223 ^ _97764) ^ [] : [-(in(_343112, relation_field(_343108)))], (15225 ^ _97764) ^ [] : [-(in(_343110, relation_field(_343108)))]]], (15227 ^ _97764) ^ [_343279] : [top_str(_343279), 15230 ^ _97764 : [(15231 ^ _97764) ^ [_343353] : [element(_343353, powerset(the_carrier(_343279))), 15234 ^ _97764 : [(15235 ^ _97764) ^ [] : [open_subset(_343353, _343279), -(closed_subset(subset_complement(the_carrier(_343279), _343353), _343279))], (15241 ^ _97764) ^ [] : [closed_subset(subset_complement(the_carrier(_343279), _343353), _343279), -(open_subset(_343353, _343279))]]]]], (15247 ^ _97764) ^ [_343587] : [antisymmetric_relstr(_343587), rel_str(_343587), 15254 ^ _97764 : [(15255 ^ _97764) ^ [_343793] : [element(_343793, the_carrier(_343587)), 15258 ^ _97764 : [(15279 ^ _97764) ^ [_344265] : [15291 ^ _97764 : [(15292 ^ _97764) ^ [] : [-(_343793 = join_on_relstr(_343587, _344265))], (15294 ^ _97764) ^ [] : [-(ex_sup_of_relstr_set(_343587, _344265))]], relstr_set_smaller(_343587, _344265, _343793), 15285 ^ _97764 : [(15286 ^ _97764) ^ [] : [-(element(15284 ^ [_343587, _343793, _344265], the_carrier(_343587)))], (15288 ^ _97764) ^ [] : [-(relstr_set_smaller(_343587, _344265, 15284 ^ [_343587, _343793, _344265]))], (15290 ^ _97764) ^ [] : [related(_343587, _343793, 15284 ^ [_343587, _343793, _344265])]]], (15259 ^ _97764) ^ [_343952] : [_343793 = join_on_relstr(_343587, _343952), ex_sup_of_relstr_set(_343587, _343952), 15266 ^ _97764 : [(15267 ^ _97764) ^ [] : [-(relstr_set_smaller(_343587, _343952, _343793))], (15269 ^ _97764) ^ [_344116] : [element(_344116, the_carrier(_343587)), relstr_set_smaller(_343587, _343952, _344116), -(related(_343587, _343793, _344116))]]]]]]], (15296 ^ _97764) ^ [_344568, _344570] : [-(empty_carrier(_344568)), lattice(_344568), latt_str(_344568), 15307 ^ _97764 : [(15308 ^ _97764) ^ [_344749] : [element(_344749, the_carrier(poset_of_lattice(_344568))), 15311 ^ _97764 : [(15312 ^ _97764) ^ [] : [relstr_set_smaller(poset_of_lattice(_344568), _344570, _344749), -(latt_element_smaller(_344568, cast_to_el_of_lattice(_344568, _344749), _344570))], (15318 ^ _97764) ^ [] : [latt_element_smaller(_344568, cast_to_el_of_lattice(_344568, _344749), _344570), -(relstr_set_smaller(poset_of_lattice(_344568), _344570, _344749))]]]]], (15324 ^ _97764) ^ [_344999] : [-(ordinal(_344999)), 15326 ^ _97764 : [(15327 ^ _97764) ^ [] : [-(in(15325 ^ [_344999], _344999))], (15329 ^ _97764) ^ [] : [ordinal(15325 ^ [_344999]), subset(15325 ^ [_344999], _344999)]]], (15337 ^ _97764) ^ [_345186, _345188] : [relation(_345186), well_founded_relation(_345186), -(well_founded_relation(relation_restriction(_345186, _345188)))], (15347 ^ _97764) ^ [_345315] : [-(empty_carrier(_345315)), lattice(_345315), latt_str(_345315), 15358 ^ _97764 : [(15359 ^ _97764) ^ [_345506] : [element(_345506, the_carrier(_345315)), 15362 ^ _97764 : [(15363 ^ _97764) ^ [_345593] : [element(_345593, the_carrier(_345315)), 15366 ^ _97764 : [(15367 ^ _97764) ^ [] : [in(ordered_pair_as_product_element(the_carrier(_345315), the_carrier(_345315), _345506, _345593), relation_of_lattice(_345315)), -(below_refl(_345315, _345506, _345593))], (15373 ^ _97764) ^ [] : [below_refl(_345315, _345506, _345593), -(in(ordered_pair_as_product_element(the_carrier(_345315), the_carrier(_345315), _345506, _345593), relation_of_lattice(_345315)))]]]]]]], (15379 ^ _97764) ^ [_345858, _345860] : [ordinal(_345858), subset(_345860, _345858), -(_345860 = empty_set), 15391 ^ _97764 : [(15392 ^ _97764) ^ [] : [-(ordinal(15390 ^ [_345858, _345860]))], (15394 ^ _97764) ^ [] : [-(in(15390 ^ [_345858, _345860], _345860))], (15396 ^ _97764) ^ [_346137] : [ordinal(_346137), in(_346137, _345860), -(ordinal_subset(15390 ^ [_345858, _345860], _346137))]]], (15406 ^ _97764) ^ [_346294, _346296] : [relation(_346294), well_ordering(_346294), -(well_ordering(relation_restriction(_346294, _346296)))], (15416 ^ _97764) ^ [_346423] : [ordinal(_346423), 15419 ^ _97764 : [(15420 ^ _97764) ^ [_346489] : [ordinal(_346489), 15423 ^ _97764 : [(15424 ^ _97764) ^ [] : [in(_346423, _346489), -(ordinal_subset(succ(_346423), _346489))], (15430 ^ _97764) ^ [] : [ordinal_subset(succ(_346423), _346489), -(in(_346423, _346489))]]]]], (15436 ^ _97764) ^ [_346704, _346706, _346708] : [subset(_346708, _346706), -(subset(set_difference(_346708, _346704), set_difference(_346706, _346704)))], (15442 ^ _97764) ^ [_346795, _346797, _346799, _346801] : [ordered_pair(_346801, _346799) = ordered_pair(_346797, _346795), 15445 ^ _97764 : [(15446 ^ _97764) ^ [] : [-(_346801 = _346797)], (15448 ^ _97764) ^ [] : [-(_346799 = _346795)]]], (15450 ^ _97764) ^ [_346914, _346916] : [relation(_346914), function(_346914), 15457 ^ _97764 : [(15458 ^ _97764) ^ [] : [_346914 = identity_relation(_346916), 15461 ^ _97764 : [(15462 ^ _97764) ^ [] : [-(relation_dom(_346914) = _346916)], (15464 ^ _97764) ^ [_347122] : [in(_347122, _346916), -(apply(_346914, _347122) = _347122)]]], (15470 ^ _97764) ^ [] : [-(_346914 = identity_relation(_346916)), relation_dom(_346914) = _346916, 15476 ^ _97764 : [(15477 ^ _97764) ^ [] : [-(in(15475 ^ [_346914, _346916], _346916))], (15479 ^ _97764) ^ [] : [apply(_346914, 15475 ^ [_346914, _346916]) = 15475 ^ [_346914, _346916]]]]]], (15483 ^ _97764) ^ [_347401] : [-(empty_carrier(_347401)), lattice(_347401), complete_latt_str(_347401), latt_str(_347401), 15498 ^ _97764 : [(15499 ^ _97764) ^ [_347651] : [element(_347651, the_carrier(_347401)), 15502 ^ _97764 : [(15519 ^ _97764) ^ [_348018] : [-(_347651 = meet_of_latt_set(_347401, _348018)), latt_set_smaller(_347401, _347651, _348018), 15525 ^ _97764 : [(15526 ^ _97764) ^ [] : [-(element(15524 ^ [_347401, _347651, _348018], the_carrier(_347401)))], (15528 ^ _97764) ^ [] : [-(latt_set_smaller(_347401, 15524 ^ [_347401, _347651, _348018], _348018))], (15530 ^ _97764) ^ [] : [below_refl(_347401, 15524 ^ [_347401, _347651, _348018], _347651)]]], (15503 ^ _97764) ^ [_347761] : [_347651 = meet_of_latt_set(_347401, _347761), 15506 ^ _97764 : [(15507 ^ _97764) ^ [] : [-(latt_set_smaller(_347401, _347651, _347761))], (15509 ^ _97764) ^ [_347871] : [element(_347871, the_carrier(_347401)), latt_set_smaller(_347401, _347871, _347761), -(below_refl(_347401, _347871, _347651))]]]]]]], (15534 ^ _97764) ^ [_348299, _348301] : [in(_348299, _348301), -(apply(identity_relation(_348301), _348299) = _348299)], (15540 ^ _97764) ^ [_348386, _348388] : [-(subset(set_difference(_348388, _348386), _348388))], (15542 ^ _97764) ^ [_348414] : [relation(_348414), 15545 ^ _97764 : [(15546 ^ _97764) ^ [] : [-(relation_rng(_348414) = relation_dom(relation_inverse(_348414)))], (15548 ^ _97764) ^ [] : [-(relation_dom(_348414) = relation_rng(relation_inverse(_348414)))]]], (15550 ^ _97764) ^ [_348552, _348554] : [set_difference(_348554, _348552) = empty_set, -(subset(_348554, _348552))], (15556 ^ _97764) ^ [_348631, _348633] : [subset(_348633, _348631), -(set_difference(_348633, _348631) = empty_set)], (15562 ^ _97764) ^ [_348731, _348733] : [subset(singleton(_348733), _348731), -(in(_348733, _348731))], (15568 ^ _97764) ^ [_348808, _348810] : [in(_348810, _348808), -(subset(singleton(_348810), _348808))], (15574 ^ _97764) ^ [_348909, _348911, _348913] : [subset(unordered_pair(_348913, _348911), _348909), 15577 ^ _97764 : [(15578 ^ _97764) ^ [] : [-(in(_348913, _348909))], (15580 ^ _97764) ^ [] : [-(in(_348911, _348909))]]], (15582 ^ _97764) ^ [_349016, _349018, _349020] : [-(subset(unordered_pair(_349020, _349018), _349016)), in(_349020, _349016), in(_349018, _349016)], (15592 ^ _97764) ^ [_349314, _349316] : [relation(_349314), -(relation_field(relation_restriction(_349314, _349316)) = _349316), well_ordering(_349314), subset(_349316, relation_field(_349314))], (15606 ^ _97764) ^ [_349697, _349699] : [-(set_union2(_349699, set_difference(_349697, _349699)) = set_union2(_349699, _349697))], (15618 ^ _97764) ^ [_350104, _350106] : [15619 ^ _97764 : [(15620 ^ _97764) ^ [] : [_350106 = empty_set], (15622 ^ _97764) ^ [] : [_350106 = singleton(_350104)]], -(subset(_350106, singleton(_350104)))], (15608 ^ _97764) ^ [_349844, _349846] : [subset(_349846, singleton(_349844)), -(_349846 = empty_set), -(_349846 = singleton(_349844))], (15626 ^ _97764) ^ [_350369] : [-(set_difference(_350369, empty_set) = _350369)], (15628 ^ _97764) ^ [_350470] : [-(lower_bounded_semilattstr(boole_lattice(_350470)))], (15630 ^ _97764) ^ [_350515] : [-(bottom_of_semilattstr(boole_lattice(_350515)) = empty_set)], (15632 ^ _97764) ^ [_350642, _350644, _350646] : [in(_350646, _350644), in(_350644, _350642), in(_350642, _350646)], (15642 ^ _97764) ^ [_350979, _350981] : [element(_350981, powerset(_350979)), -(subset(_350981, _350979))], (15648 ^ _97764) ^ [_351145, _351147] : [subset(_351147, _351145), -(element(_351147, powerset(_351145)))], (15654 ^ _97764) ^ [_351332] : [-(transitive(inclusion_relation(_351332)))], (15656 ^ _97764) ^ [_351460, _351462] : [-(disjoint(_351462, _351460)), 15660 ^ _97764 : [(15661 ^ _97764) ^ [] : [-(in(15659 ^ [_351460, _351462], _351462))], (15663 ^ _97764) ^ [] : [-(in(15659 ^ [_351460, _351462], _351460))]]], (15665 ^ _97764) ^ [_351774, _351776] : [disjoint(_351776, _351774), 15666 ^ _97764 : [(15667 ^ _97764) ^ [_351866] : [in(_351866, _351776), in(_351866, _351774)]]], (15675 ^ _97764) ^ [_352123] : [subset(_352123, empty_set), -(_352123 = empty_set)], (15681 ^ _97764) ^ [_352312, _352314] : [-(set_difference(set_union2(_352314, _352312), _352312) = set_difference(_352314, _352312))], (15683 ^ _97764) ^ [_352416] : [ordinal(_352416), 15686 ^ _97764 : [(15701 ^ _97764) ^ [] : [15703 ^ _97764 : [(15704 ^ _97764) ^ [] : [-(ordinal(15702 ^ [_352416]))], (15706 ^ _97764) ^ [] : [-(in(15702 ^ [_352416], _352416))], (15708 ^ _97764) ^ [] : [in(succ(15702 ^ [_352416]), _352416)]], -(being_limit_ordinal(_352416))], (15687 ^ _97764) ^ [] : [being_limit_ordinal(_352416), 15690 ^ _97764 : [(15691 ^ _97764) ^ [_352662] : [ordinal(_352662), in(_352662, _352416), -(in(succ(_352662), _352416))]]]]], (15712 ^ _97764) ^ [_353288] : [ordinal(_353288), 15715 ^ _97764 : [(15716 ^ _97764) ^ [] : [-(being_limit_ordinal(_353288)), 15720 ^ _97764 : [(15721 ^ _97764) ^ [] : [-(ordinal(15719 ^ [_353288]))], (15723 ^ _97764) ^ [] : [-(_353288 = succ(15719 ^ [_353288]))]]], (15725 ^ _97764) ^ [] : [being_limit_ordinal(_353288), 15726 ^ _97764 : [(15727 ^ _97764) ^ [_353759] : [ordinal(_353759), _353288 = succ(_353759)]]]]], (15735 ^ _97764) ^ [_354012] : [15750 ^ _97764 : [(15751 ^ _97764) ^ [] : [-(ex_sup_of_relstr_set(_354012, empty_set))], (15753 ^ _97764) ^ [] : [-(ex_inf_of_relstr_set(_354012, the_carrier(_354012)))]], -(empty_carrier(_354012)), antisymmetric_relstr(_354012), lower_bounded_relstr(_354012), rel_str(_354012)], (15755 ^ _97764) ^ [_354543, _354545] : [element(_354543, powerset(_354545)), 15758 ^ _97764 : [(15759 ^ _97764) ^ [_354695] : [element(_354695, powerset(_354545)), 15762 ^ _97764 : [(15763 ^ _97764) ^ [] : [disjoint(_354543, _354695), -(subset(_354543, subset_complement(_354545, _354695)))], (15769 ^ _97764) ^ [] : [subset(_354543, subset_complement(_354545, _354695)), -(disjoint(_354543, _354695))]]]]], (15775 ^ _97764) ^ [_355179] : [topological_space(_355179), top_str(_355179), 15782 ^ _97764 : [(15783 ^ _97764) ^ [_355431] : [element(_355431, powerset(powerset(the_carrier(_355179)))), 15789 ^ _97764 : [(15790 ^ _97764) ^ [] : [-(element(15788 ^ [_355179, _355431], powerset(the_carrier(_355179))))], (15792 ^ _97764) ^ [] : [-(in(15788 ^ [_355179, _355431], _355431))], (15794 ^ _97764) ^ [] : [closed_subset(15788 ^ [_355179, _355431], _355179)]], -(closed_subset(meet_of_subsets(the_carrier(_355179), _355431), _355179))]]], (15798 ^ _97764) ^ [_355991] : [relation(_355991), 15801 ^ _97764 : [(15802 ^ _97764) ^ [_356128] : [relation(_356128), -(subset(relation_dom(relation_composition(_355991, _356128)), relation_dom(_355991)))]]], (15808 ^ _97764) ^ [_356343] : [top_str(_356343), 15811 ^ _97764 : [(15812 ^ _97764) ^ [_356481] : [element(_356481, powerset(the_carrier(_356343))), -(subset(interior(_356343, _356481), _356481))]]], (15818 ^ _97764) ^ [_356698] : [15833 ^ _97764 : [(15834 ^ _97764) ^ [_357086] : [element(_357086, the_carrier(_356698)), -(related(_356698, bottom_of_relstr(_356698), _357086))]], -(empty_carrier(_356698)), antisymmetric_relstr(_356698), lower_bounded_relstr(_356698), rel_str(_356698)], (15840 ^ _97764) ^ [_357299] : [top_str(_357299), 15843 ^ _97764 : [(15844 ^ _97764) ^ [_357483] : [element(_357483, powerset(the_carrier(_357299))), 15847 ^ _97764 : [(15848 ^ _97764) ^ [_357668] : [in(_357668, the_carrier(_357299)), 15851 ^ _97764 : [(15870 ^ _97764) ^ [] : [15872 ^ _97764 : [(15873 ^ _97764) ^ [] : [-(element(15871 ^ [_357299, _357483, _357668], powerset(the_carrier(_357299))))], (15875 ^ _97764) ^ [] : [-(closed_subset(15871 ^ [_357299, _357483, _357668], _357299))], (15877 ^ _97764) ^ [] : [-(subset(_357483, 15871 ^ [_357299, _357483, _357668]))], (15879 ^ _97764) ^ [] : [in(_357668, 15871 ^ [_357299, _357483, _357668])]], -(in(_357668, topstr_closure(_357299, _357483)))], (15852 ^ _97764) ^ [] : [in(_357668, topstr_closure(_357299, _357483)), 15855 ^ _97764 : [(15856 ^ _97764) ^ [_357957] : [element(_357957, powerset(the_carrier(_357299))), -(in(_357668, _357957)), closed_subset(_357957, _357299), subset(_357483, _357957)]]]]]]]]], (15883 ^ _97764) ^ [_358857] : [relation(_358857), 15886 ^ _97764 : [(15887 ^ _97764) ^ [_358994] : [relation(_358994), -(subset(relation_rng(relation_composition(_358857, _358994)), relation_rng(_358994)))]]], (15893 ^ _97764) ^ [_359223, _359225] : [subset(_359225, _359223), -(_359223 = set_union2(_359225, set_difference(_359223, _359225)))], (15899 ^ _97764) ^ [_359473, _359475, _359477, _359479] : [function(_359473), quasi_total(_359473, _359479, _359477), relation_of2_as_subset(_359473, _359479, _359477), -(_359477 = empty_set), 15914 ^ _97764 : [(15915 ^ _97764) ^ [_359951] : [in(_359951, relation_inverse_image(_359473, _359475)), 15918 ^ _97764 : [(15919 ^ _97764) ^ [] : [-(in(_359951, _359479))], (15921 ^ _97764) ^ [] : [-(in(apply(_359473, _359951), _359475))]]], (15923 ^ _97764) ^ [_360232] : [-(in(_360232, relation_inverse_image(_359473, _359475))), in(_360232, _359479), in(apply(_359473, _360232), _359475)]]], (15933 ^ _97764) ^ [_360582] : [topological_space(_360582), top_str(_360582), 15940 ^ _97764 : [(15941 ^ _97764) ^ [_360858] : [element(_360858, powerset(the_carrier(_360582))), 15945 ^ _97764 : [(15946 ^ _97764) ^ [] : [-(element(15944 ^ [_360582, _360858], powerset(powerset(the_carrier(_360582)))))], (15970 ^ _97764) ^ [] : [-(topstr_closure(_360582, _360858) = meet_of_subsets(the_carrier(_360582), 15944 ^ [_360582, _360858]))], (15948 ^ _97764) ^ [_361249] : [element(_361249, powerset(the_carrier(_360582))), 15951 ^ _97764 : [(15952 ^ _97764) ^ [] : [in(_361249, 15944 ^ [_360582, _360858]), 15955 ^ _97764 : [(15956 ^ _97764) ^ [] : [-(closed_subset(_361249, _360582))], (15958 ^ _97764) ^ [] : [-(subset(_360858, _361249))]]], (15960 ^ _97764) ^ [] : [-(in(_361249, 15944 ^ [_360582, _360858])), closed_subset(_361249, _360582), subset(_360858, _361249)]]]]]]], (15972 ^ _97764) ^ [_361985] : [relation(_361985), 15975 ^ _97764 : [(15976 ^ _97764) ^ [_362132] : [relation(_362132), subset(relation_rng(_361985), relation_dom(_362132)), -(relation_dom(relation_composition(_361985, _362132)) = relation_dom(_361985))]]], (15986 ^ _97764) ^ [_362458, _362460] : [element(_362458, powerset(powerset(_362460))), -(_362458 = empty_set), complements_of_subsets(_362460, _362458) = empty_set], (15996 ^ _97764) ^ [_362775, _362777] : [in(_362777, _362775), -(set_union2(singleton(_362777), _362775) = _362775)], (16002 ^ _97764) ^ [_362981] : [relation(_362981), 16005 ^ _97764 : [(16006 ^ _97764) ^ [_363128] : [relation(_363128), subset(relation_dom(_362981), relation_rng(_363128)), -(relation_rng(relation_composition(_363128, _362981)) = relation_rng(_362981))]]], (16016 ^ _97764) ^ [_363454, _363456] : [element(_363454, powerset(powerset(_363456))), -(_363454 = empty_set), -(subset_difference(_363456, cast_to_subset(_363456), union_of_subsets(_363456, _363454)) = meet_of_subsets(_363456, complements_of_subsets(_363456, _363454)))], (16026 ^ _97764) ^ [_363780] : [top_str(_363780), 16029 ^ _97764 : [(16030 ^ _97764) ^ [_363918] : [element(_363918, powerset(the_carrier(_363780))), -(subset(_363918, topstr_closure(_363780, _363918)))]]], (16036 ^ _97764) ^ [_364149, _364151] : [element(_364149, powerset(powerset(_364151))), -(_364149 = empty_set), -(union_of_subsets(_364151, complements_of_subsets(_364151, _364149)) = subset_difference(_364151, cast_to_subset(_364151), meet_of_subsets(_364151, _364149)))], (16046 ^ _97764) ^ [_364474, _364476] : [-(set_difference(_364476, set_difference(_364476, _364474)) = set_intersection2(_364476, _364474))], (16048 ^ _97764) ^ [_364578] : [relation(_364578), 16051 ^ _97764 : [(16052 ^ _97764) ^ [_364733] : [relation(_364733), 16055 ^ _97764 : [(16056 ^ _97764) ^ [_364884] : [relation(_364884), function(_364884), relation_isomorphism(_364578, _364733, _364884), -(relation_isomorphism(_364733, _364578, function_inverse(_364884)))]]]]], (16070 ^ _97764) ^ [_365277] : [-(set_difference(empty_set, _365277) = empty_set)], (16072 ^ _97764) ^ [_365401, _365403, _365405] : [-(element(_365405, _365401)), in(_365405, _365403), element(_365403, powerset(_365401))], (16082 ^ _97764) ^ [_365700] : [ordinal(_365700), -(connected(inclusion_relation(_365700)))], (16088 ^ _97764) ^ [_365924, _365926] : [-(disjoint(_365926, _365924)), -(in(16091 ^ [_365924, _365926], set_intersection2(_365926, _365924)))], (16095 ^ _97764) ^ [_366159, _366161] : [16096 ^ _97764 : [(16097 ^ _97764) ^ [_366232] : [in(_366232, set_intersection2(_366161, _366159))]], disjoint(_366161, _366159)], (16101 ^ _97764) ^ [_366369] : [-(boole_POSet(_366369) = incl_POSet(powerset(_366369)))], (16103 ^ _97764) ^ [_366468] : [16118 ^ _97764 : [(16119 ^ _97764) ^ [] : [empty_carrier(_366468)], (16121 ^ _97764) ^ [] : [-(lattice(_366468))], (16123 ^ _97764) ^ [] : [-(lower_bounded_semilattstr(_366468))], (16125 ^ _97764) ^ [] : [-(latt_str(_366468))], (16127 ^ _97764) ^ [] : [-(bottom_of_semilattstr(_366468) = join_of_latt_set(_366468, empty_set))]], -(empty_carrier(_366468)), lattice(_366468), complete_latt_str(_366468), latt_str(_366468)], (16129 ^ _97764) ^ [_367200] : [-(_367200 = empty_set), 16132 ^ _97764 : [(16133 ^ _97764) ^ [_367360] : [element(_367360, powerset(_367200)), 16136 ^ _97764 : [(16137 ^ _97764) ^ [_367514] : [element(_367514, _367200), -(in(_367514, _367360)), -(in(_367514, subset_complement(_367200, _367360)))]]]]], (16147 ^ _97764) ^ [_367832] : [topological_space(_367832), top_str(_367832), 16154 ^ _97764 : [(16155 ^ _97764) ^ [_368053] : [element(_368053, powerset(the_carrier(_367832))), -(open_subset(interior(_367832, _368053), _367832))]]], (16161 ^ _97764) ^ [_368272] : [top_str(_368272), 16164 ^ _97764 : [(16165 ^ _97764) ^ [_368436] : [element(_368436, powerset(the_carrier(_368272))), 16168 ^ _97764 : [(16169 ^ _97764) ^ [] : [closed_subset(_368436, _368272), -(topstr_closure(_368272, _368436) = _368436)], (16175 ^ _97764) ^ [] : [-(closed_subset(_368436, _368272)), topological_space(_368272), topstr_closure(_368272, _368436) = _368436]]]]], (16185 ^ _97764) ^ [_368999] : [relation(_368999), 16188 ^ _97764 : [(16189 ^ _97764) ^ [_369195] : [relation(_369195), 16192 ^ _97764 : [(16193 ^ _97764) ^ [_369387] : [relation(_369387), function(_369387), relation_isomorphism(_368999, _369195, _369387), 16204 ^ _97764 : [(16205 ^ _97764) ^ [] : [reflexive(_368999), -(reflexive(_369195))], (16211 ^ _97764) ^ [] : [transitive(_368999), -(transitive(_369195))], (16217 ^ _97764) ^ [] : [connected(_368999), -(connected(_369195))], (16223 ^ _97764) ^ [] : [antisymmetric(_368999), -(antisymmetric(_369195))], (16229 ^ _97764) ^ [] : [well_founded_relation(_368999), -(well_founded_relation(_369195))]]]]]]], (16235 ^ _97764) ^ [_370539] : [relation(_370539), function(_370539), one_to_one(_370539), 16246 ^ _97764 : [(16247 ^ _97764) ^ [_370926] : [relation(_370926), function(_370926), 16254 ^ _97764 : [(16285 ^ _97764) ^ [] : [-(_370926 = function_inverse(_370539)), relation_dom(_370926) = relation_rng(_370539), 16294 ^ _97764 : [(16295 ^ _97764) ^ [] : [-(in(16290 ^ [_370539, _370926], relation_rng(_370539)))], (16297 ^ _97764) ^ [] : [-(16291 ^ [_370539, _370926] = apply(_370926, 16290 ^ [_370539, _370926]))], (16299 ^ _97764) ^ [] : [in(16291 ^ [_370539, _370926], relation_dom(_370539)), 16290 ^ [_370539, _370926] = apply(_370539, 16291 ^ [_370539, _370926])]], 16304 ^ _97764 : [(16305 ^ _97764) ^ [] : [-(in(16291 ^ [_370539, _370926], relation_dom(_370539)))], (16307 ^ _97764) ^ [] : [-(16290 ^ [_370539, _370926] = apply(_370539, 16291 ^ [_370539, _370926]))], (16309 ^ _97764) ^ [] : [in(16290 ^ [_370539, _370926], relation_rng(_370539)), 16291 ^ [_370539, _370926] = apply(_370926, 16290 ^ [_370539, _370926])]]], (16255 ^ _97764) ^ [] : [_370926 = function_inverse(_370539), 16258 ^ _97764 : [(16259 ^ _97764) ^ [] : [-(relation_dom(_370926) = relation_rng(_370539))], (16261 ^ _97764) ^ [_371443, _371445] : [16268 ^ _97764 : [(16269 ^ _97764) ^ [] : [-(in(_371443, relation_dom(_370539)))], (16271 ^ _97764) ^ [] : [-(_371445 = apply(_370539, _371443))]], in(_371445, relation_rng(_370539)), _371443 = apply(_370926, _371445)], (16273 ^ _97764) ^ [_371817, _371819] : [16280 ^ _97764 : [(16281 ^ _97764) ^ [] : [-(in(_371819, relation_rng(_370539)))], (16283 ^ _97764) ^ [] : [-(_371817 = apply(_370926, _371819))]], in(_371817, relation_dom(_370539)), _371819 = apply(_370539, _371817)]]]]]]], (16317 ^ _97764) ^ [_373392, _373394, _373396] : [element(_373392, powerset(_373396)), in(_373394, subset_complement(_373396, _373392)), in(_373394, _373392)], (16327 ^ _97764) ^ [_373698] : [relation(_373698), 16330 ^ _97764 : [(16331 ^ _97764) ^ [_373854] : [relation(_373854), 16334 ^ _97764 : [(16335 ^ _97764) ^ [_374006] : [relation(_374006), function(_374006), -(well_ordering(_373854)), well_ordering(_373698), relation_isomorphism(_373698, _373854, _374006)]]]]], (16353 ^ _97764) ^ [_374497] : [relation(_374497), function(_374497), one_to_one(_374497), 16364 ^ _97764 : [(16365 ^ _97764) ^ [] : [-(relation_rng(_374497) = relation_dom(function_inverse(_374497)))], (16367 ^ _97764) ^ [] : [-(relation_dom(_374497) = relation_rng(function_inverse(_374497)))]]], (16369 ^ _97764) ^ [_374950] : [topological_space(_374950), top_str(_374950), 16376 ^ _97764 : [(16377 ^ _97764) ^ [_375217] : [top_str(_375217), 16380 ^ _97764 : [(16381 ^ _97764) ^ [_375397] : [element(_375397, powerset(the_carrier(_374950))), 16384 ^ _97764 : [(16385 ^ _97764) ^ [_375578] : [element(_375578, powerset(the_carrier(_375217))), 16388 ^ _97764 : [(16389 ^ _97764) ^ [] : [open_subset(_375578, _375217), -(interior(_375217, _375578) = _375578)], (16395 ^ _97764) ^ [] : [interior(_374950, _375397) = _375397, -(open_subset(_375397, _374950))]]]]]]]]], (16401 ^ _97764) ^ [_376102] : [relation(_376102), -(in(ordered_pair(16406 ^ [_376102], 16407 ^ [_376102]), _376102)), -(_376102 = empty_set)], (16413 ^ _97764) ^ [_376520, _376522] : [relation(_376520), function(_376520), 16428 ^ _97764 : [(16429 ^ _97764) ^ [] : [-(_376522 = apply(_376520, apply(function_inverse(_376520), _376522)))], (16431 ^ _97764) ^ [] : [-(_376522 = apply(relation_composition(function_inverse(_376520), _376520), _376522))]], one_to_one(_376520), in(_376522, relation_rng(_376520))], (16433 ^ _97764) ^ [_377090] : [-(empty_carrier(_377090)), topological_space(_377090), top_str(_377090), 16444 ^ _97764 : [(16445 ^ _97764) ^ [_377420] : [element(_377420, powerset(the_carrier(_377090))), 16448 ^ _97764 : [(16449 ^ _97764) ^ [_377582] : [element(_377582, the_carrier(_377090)), -(point_neighbourhood(_377420, _377090, _377582)), open_subset(_377420, _377090), in(_377582, _377420)]]]]], (16463 ^ _97764) ^ [_378022, _378024, _378026] : [in(_378026, _378024), element(_378024, powerset(_378022)), empty(_378022)], (16473 ^ _97764) ^ [_378332, _378334] : [element(_378332, powerset(_378334)), 16476 ^ _97764 : [(16477 ^ _97764) ^ [] : [proper_element(_378332, powerset(_378334)), _378332 = _378334], (16483 ^ _97764) ^ [] : [-(_378332 = _378334), -(proper_element(_378332, powerset(_378334)))]]], (16489 ^ _97764) ^ [_378790] : [-(empty_carrier(_378790)), one_sorted_str(_378790), 16496 ^ _97764 : [(16497 ^ _97764) ^ [_379021] : [element(_379021, powerset(powerset(the_carrier(_378790)))), is_a_cover_of_carrier(_378790, _379021), _379021 = empty_set]]], (16507 ^ _97764) ^ [_379328] : [relation(_379328), 16510 ^ _97764 : [(16511 ^ _97764) ^ [] : [well_founded_relation(_379328), -(is_well_founded_in(_379328, relation_field(_379328)))], (16517 ^ _97764) ^ [] : [is_well_founded_in(_379328, relation_field(_379328)), -(well_founded_relation(_379328))]]], (16523 ^ _97764) ^ [_379744] : [-(antisymmetric(inclusion_relation(_379744)))], (16525 ^ _97764) ^ [] : [-(relation_dom(empty_set) = empty_set)], (16527 ^ _97764) ^ [] : [-(relation_rng(empty_set) = empty_set)], (16529 ^ _97764) ^ [_379960, _379962] : [subset(_379962, _379960), proper_subset(_379960, _379962)], (16535 ^ _97764) ^ [_380155] : [rel_str(_380155), 16538 ^ _97764 : [(16539 ^ _97764) ^ [_380358] : [subrelstr(_380358, _380155), 16542 ^ _97764 : [(16543 ^ _97764) ^ [_380558] : [element(_380558, the_carrier(_380155)), 16546 ^ _97764 : [(16547 ^ _97764) ^ [_380755] : [element(_380755, the_carrier(_380155)), 16550 ^ _97764 : [(16551 ^ _97764) ^ [_380945] : [element(_380945, the_carrier(_380358)), 16554 ^ _97764 : [(16555 ^ _97764) ^ [_381128] : [element(_381128, the_carrier(_380358)), -(related(_380155, _380558, _380755)), _380945 = _380558, _381128 = _380755, related(_380358, _380945, _381128)]]]]]]]]]]], (16573 ^ _97764) ^ [_381706] : [rel_str(_381706), 16576 ^ _97764 : [(16577 ^ _97764) ^ [_381931] : [full_subrelstr(_381931, _381706), subrelstr(_381931, _381706), 16584 ^ _97764 : [(16585 ^ _97764) ^ [_382236] : [element(_382236, the_carrier(_381706)), 16588 ^ _97764 : [(16589 ^ _97764) ^ [_382449] : [element(_382449, the_carrier(_381706)), 16592 ^ _97764 : [(16593 ^ _97764) ^ [_382655] : [element(_382655, the_carrier(_381931)), 16596 ^ _97764 : [(16597 ^ _97764) ^ [_382854] : [element(_382854, the_carrier(_381931)), -(related(_381931, _382655, _382854)), _382655 = _382236, _382854 = _382449, related(_381706, _382236, _382449), in(_382655, the_carrier(_381931)), in(_382854, the_carrier(_381931))]]]]]]]]]]], (16623 ^ _97764) ^ [_383652] : [relation(_383652), function(_383652), one_to_one(_383652), -(one_to_one(function_inverse(_383652)))], (16637 ^ _97764) ^ [_384038, _384040, _384042] : [-(disjoint(_384042, _384038)), subset(_384042, _384040), disjoint(_384040, _384038)], (16647 ^ _97764) ^ [_384333] : [relation(_384333), 16652 ^ _97764 : [(16653 ^ _97764) ^ [] : [relation_dom(_384333) = empty_set], (16655 ^ _97764) ^ [] : [relation_rng(_384333) = empty_set]], -(_384333 = empty_set)], (16659 ^ _97764) ^ [_384686] : [relation(_384686), 16662 ^ _97764 : [(16663 ^ _97764) ^ [] : [relation_dom(_384686) = empty_set, -(relation_rng(_384686) = empty_set)], (16669 ^ _97764) ^ [] : [relation_rng(_384686) = empty_set, -(relation_dom(_384686) = empty_set)]]], (16675 ^ _97764) ^ [_385169, _385171] : [set_difference(_385171, singleton(_385169)) = _385171, in(_385169, _385171)], (16681 ^ _97764) ^ [_385342, _385344] : [-(in(_385342, _385344)), -(set_difference(_385344, singleton(_385342)) = _385344)], (16687 ^ _97764) ^ [_385567, _385569] : [relation(_385567), function(_385567), 16694 ^ _97764 : [(16695 ^ _97764) ^ [_385834] : [relation(_385834), function(_385834), 16702 ^ _97764 : [(16703 ^ _97764) ^ [] : [_385567 = relation_dom_restriction(_385834, _385569), 16706 ^ _97764 : [(16707 ^ _97764) ^ [] : [-(relation_dom(_385567) = set_intersection2(relation_dom(_385834), _385569))], (16709 ^ _97764) ^ [_386288] : [in(_386288, relation_dom(_385567)), -(apply(_385567, _386288) = apply(_385834, _386288))]]], (16715 ^ _97764) ^ [] : [-(_385567 = relation_dom_restriction(_385834, _385569)), relation_dom(_385567) = set_intersection2(relation_dom(_385834), _385569), 16721 ^ _97764 : [(16722 ^ _97764) ^ [] : [-(in(16720 ^ [_385567, _385569, _385834], relation_dom(_385567)))], (16724 ^ _97764) ^ [] : [apply(_385567, 16720 ^ [_385567, _385569, _385834]) = apply(_385834, 16720 ^ [_385567, _385569, _385834])]]]]]]], (16728 ^ _97764) ^ [_386927] : [-(unordered_pair(_386927, _386927) = singleton(_386927))], (16730 ^ _97764) ^ [_387025] : [empty(_387025), -(_387025 = empty_set)], (16736 ^ _97764) ^ [_387255, _387257, _387259, _387261] : [function(_387255), quasi_total(_387255, _387261, _387259), relation_of2_as_subset(_387255, _387261, _387259), in(_387257, _387261), -(_387259 = empty_set), -(in(apply(_387255, _387257), relation_rng(_387255)))], (16758 ^ _97764) ^ [_387868] : [ordinal(_387868), -(well_founded_relation(inclusion_relation(_387868)))], (16764 ^ _97764) ^ [_388058] : [rel_str(_388058), 16767 ^ _97764 : [(16768 ^ _97764) ^ [_388199] : [element(_388199, the_carrier(_388058)), 16771 ^ _97764 : [(16772 ^ _97764) ^ [] : [-(relstr_set_smaller(_388058, empty_set, _388199))], (16774 ^ _97764) ^ [] : [-(relstr_element_smaller(_388058, empty_set, _388199))]]]]], (16776 ^ _97764) ^ [_388485] : [-(empty_carrier(_388485)), topological_space(_388485), top_str(_388485), 16787 ^ _97764 : [(16788 ^ _97764) ^ [_388825] : [element(_388825, powerset(the_carrier(_388485))), 16791 ^ _97764 : [(16792 ^ _97764) ^ [_388997] : [element(_388997, the_carrier(_388485)), 16795 ^ _97764 : [(16806 ^ _97764) ^ [] : [16808 ^ _97764 : [(16809 ^ _97764) ^ [] : [-(point_neighbourhood(16807 ^ [_388485, _388825, _388997], _388485, _388997))], (16811 ^ _97764) ^ [] : [-(disjoint(16807 ^ [_388485, _388825, _388997], _388825))]], -(in(_388997, topstr_closure(_388485, _388825)))], (16796 ^ _97764) ^ [] : [in(_388997, topstr_closure(_388485, _388825)), 16799 ^ _97764 : [(16800 ^ _97764) ^ [_389273] : [point_neighbourhood(_389273, _388485, _388997), disjoint(_389273, _388825)]]]]]]]]], (16815 ^ _97764) ^ [_389817, _389819] : [subset(singleton(_389819), singleton(_389817)), -(_389819 = _389817)], (16821 ^ _97764) ^ [_390049, _390051, _390053] : [relation(_390049), function(_390049), in(_390051, relation_dom(relation_dom_restriction(_390049, _390053))), -(apply(relation_dom_restriction(_390049, _390053), _390051) = apply(_390049, _390051))], (16835 ^ _97764) ^ [_390468] : [-(relation_dom(identity_relation(_390468)) = _390468)], (16837 ^ _97764) ^ [_390516] : [-(relation_rng(identity_relation(_390516)) = _390516)], (16839 ^ _97764) ^ [_390643, _390645, _390647] : [relation(_390643), function(_390643), in(_390645, _390647), -(apply(relation_dom_restriction(_390643, _390647), _390645) = apply(_390643, _390645))], (16853 ^ _97764) ^ [_391089, _391091, _391093, _391095] : [relation(_391089), 16856 ^ _97764 : [(16857 ^ _97764) ^ [] : [in(ordered_pair(_391095, _391093), relation_composition(identity_relation(_391091), _391089)), 16860 ^ _97764 : [(16861 ^ _97764) ^ [] : [-(in(_391095, _391091))], (16863 ^ _97764) ^ [] : [-(in(ordered_pair(_391095, _391093), _391089))]]], (16865 ^ _97764) ^ [] : [-(in(ordered_pair(_391095, _391093), relation_composition(identity_relation(_391091), _391089))), in(_391095, _391091), in(ordered_pair(_391095, _391093), _391089)]]], (16875 ^ _97764) ^ [_391782, _391784] : [in(_391784, _391782), empty(_391782)], (16881 ^ _97764) ^ [_391975] : [-(empty_carrier(_391975)), lattice(_391975), latt_str(_391975), 16892 ^ _97764 : [(16893 ^ _97764) ^ [_392306] : [element(_392306, the_carrier(_391975)), 16896 ^ _97764 : [(16897 ^ _97764) ^ [_392467] : [element(_392467, the_carrier(_391975)), 16900 ^ _97764 : [(16901 ^ _97764) ^ [] : [below_refl(_391975, _392306, _392467), -(related_reflexive(poset_of_lattice(_391975), cast_to_el_of_LattPOSet(_391975, _392306), cast_to_el_of_LattPOSet(_391975, _392467)))], (16907 ^ _97764) ^ [] : [related_reflexive(poset_of_lattice(_391975), cast_to_el_of_LattPOSet(_391975, _392306), cast_to_el_of_LattPOSet(_391975, _392467)), -(below_refl(_391975, _392306, _392467))]]]]]]], (16913 ^ _97764) ^ [_393000, _393002] : [-(pair_first(ordered_pair(_393002, _393000)) = _393002)], (16915 ^ _97764) ^ [_393051, _393053] : [-(pair_second(ordered_pair(_393053, _393051)) = _393051)], (16917 ^ _97764) ^ [_393167, _393169] : [in(_393169, _393167), 16921 ^ _97764 : [(16922 ^ _97764) ^ [] : [-(in(16920 ^ [_393167, _393169], _393167))], (16924 ^ _97764) ^ [_393458] : [in(_393458, _393167), in(_393458, 16920 ^ [_393167, _393169])]]], (16930 ^ _97764) ^ [_393684] : [ordinal(_393684), -(well_ordering(inclusion_relation(_393684)))], (16936 ^ _97764) ^ [_393873, _393875] : [-(subset(_393875, set_union2(_393875, _393873)))], (16938 ^ _97764) ^ [_394014, _394016] : [disjoint(_394016, _394014), -(set_difference(_394016, _394014) = _394016)], (16944 ^ _97764) ^ [_394182, _394184] : [set_difference(_394184, _394182) = _394184, -(disjoint(_394184, _394182))], (16950 ^ _97764) ^ [_394414, _394416, _394418] : [relation(_394414), 16953 ^ _97764 : [(16954 ^ _97764) ^ [] : [in(_394418, relation_dom(relation_dom_restriction(_394414, _394416))), 16957 ^ _97764 : [(16958 ^ _97764) ^ [] : [-(in(_394418, _394416))], (16960 ^ _97764) ^ [] : [-(in(_394418, relation_dom(_394414)))]]], (16962 ^ _97764) ^ [] : [-(in(_394418, relation_dom(relation_dom_restriction(_394414, _394416)))), in(_394418, _394416), in(_394418, relation_dom(_394414))]]], (16972 ^ _97764) ^ [_395073, _395075] : [relation(_395073), -(subset(relation_dom_restriction(_395073, _395075), _395073))], (16978 ^ _97764) ^ [_395287, _395289] : [empty(_395289), -(_395289 = _395287), empty(_395287)], (16988 ^ _97764) ^ [_395598, _395600, _395602] : [relation(_395598), function(_395598), 16995 ^ _97764 : [(16996 ^ _97764) ^ [] : [in(ordered_pair(_395602, _395600), _395598), 16999 ^ _97764 : [(17000 ^ _97764) ^ [] : [-(in(_395602, relation_dom(_395598)))], (17002 ^ _97764) ^ [] : [-(_395600 = apply(_395598, _395602))]]], (17004 ^ _97764) ^ [] : [-(in(ordered_pair(_395602, _395600), _395598)), in(_395602, relation_dom(_395598)), _395600 = apply(_395598, _395602)]]], (17014 ^ _97764) ^ [_396339] : [-(empty_carrier(_396339)), one_sorted_str(_396339), 17021 ^ _97764 : [(17022 ^ _97764) ^ [_396601] : [-(empty_carrier(_396601)), net_str(_396601, _396339), 17029 ^ _97764 : [(17030 ^ _97764) ^ [_396871, _396873] : [subset(_396873, _396871), 17033 ^ _97764 : [(17034 ^ _97764) ^ [] : [is_eventually_in(_396339, _396601, _396873), -(is_eventually_in(_396339, _396601, _396871))], (17040 ^ _97764) ^ [] : [is_often_in(_396339, _396601, _396873), -(is_often_in(_396339, _396601, _396871))]]]]]]], (17046 ^ _97764) ^ [_397378] : [relation(_397378), 17049 ^ _97764 : [(17050 ^ _97764) ^ [] : [well_orders(_397378, relation_field(_397378)), -(well_ordering(_397378))], (17056 ^ _97764) ^ [] : [well_ordering(_397378), -(well_orders(_397378, relation_field(_397378)))]]], (17062 ^ _97764) ^ [_397837, _397839, _397841] : [-(subset(set_union2(_397841, _397837), _397839)), subset(_397841, _397839), subset(_397837, _397839)], (17072 ^ _97764) ^ [_398166, _398168, _398170] : [singleton(_398170) = unordered_pair(_398168, _398166), -(_398170 = _398168)], (17078 ^ _97764) ^ [_398392, _398394] : [relation(_398392), -(relation_dom(relation_dom_restriction(_398392, _398394)) = set_intersection2(relation_dom(_398392), _398394))], (17084 ^ _97764) ^ [_398606] : [-(empty_carrier(_398606)), one_sorted_str(_398606), 17091 ^ _97764 : [(17092 ^ _97764) ^ [_398836] : [element(_398836, the_carrier(_398606)), -(apply_as_element(the_carrier(_398606), the_carrier(_398606), identity_on_carrier(_398606), _398836) = _398836)]]], (17098 ^ _97764) ^ [_399081, _399083] : [in(_399083, _399081), -(subset(_399083, union(_399081)))], (17104 ^ _97764) ^ [_399295, _399297] : [relation(_399295), -(relation_dom_restriction(_399295, _399297) = relation_composition(identity_relation(_399297), _399295))], (17110 ^ _97764) ^ [_399519, _399521] : [relation(_399519), -(subset(relation_rng(relation_dom_restriction(_399519, _399521)), relation_rng(_399519)))], (17116 ^ _97764) ^ [_399712] : [-(union(powerset(_399712)) = _399712)], (17118 ^ _97764) ^ [_399851, _399853, _399855, _399857] : [function(_399851), quasi_total(_399851, _399857, _399855), relation_of2_as_subset(_399851, _399857, _399855), subset(_399855, _399853), 17135 ^ _97764 : [(17136 ^ _97764) ^ [] : [-(_399855 = empty_set)], (17138 ^ _97764) ^ [] : [_399857 = empty_set]], 17139 ^ _97764 : [(17140 ^ _97764) ^ [] : [-(function(_399851))], (17142 ^ _97764) ^ [] : [-(quasi_total(_399851, _399857, _399853))], (17144 ^ _97764) ^ [] : [-(relation_of2_as_subset(_399851, _399857, _399853))]]], (17182 ^ _97764) ^ [_402117, _402119, _402121] : [singleton(_402121) = unordered_pair(_402119, _402117), -(_402119 = _402117)], (17147 ^ _97764) ^ [_400837] : [-(in(_400837, 17145 ^ [_400837]))], (17149 ^ _97764) ^ [_400949, _400951, _400953] : [-(in(_400949, 17145 ^ [_400953])), in(_400951, 17145 ^ [_400953]), subset(_400949, _400951)], (17159 ^ _97764) ^ [_401264, _401266] : [in(_401264, 17145 ^ [_401266]), 17163 ^ _97764 : [(17164 ^ _97764) ^ [] : [-(in(17162 ^ [_401264, _401266], 17145 ^ [_401266]))], (17166 ^ _97764) ^ [_401576] : [subset(_401576, _401264), -(in(_401576, 17162 ^ [_401264, _401266]))]]], (17172 ^ _97764) ^ [_401783, _401785] : [subset(_401783, 17145 ^ [_401785]), -(are_equipotent(_401783, 17145 ^ [_401785])), -(in(_401783, 17145 ^ [_401785]))]], input).
% 146.72/141.37  ncf('1',plain,[subset(the_carrier(17193 ^ []), the_carrier(17190 ^ []))],start(17197 ^ 0)).
% 146.72/141.37  ncf('1.1',plain,[-(subset(the_carrier(17193 ^ []), the_carrier(17190 ^ []))), 3843 : subrelstr(17193 ^ [], 17190 ^ []), 3843 : rel_str(17193 ^ []), 3839 : rel_str(17190 ^ [])],extension(3835 ^ 1,bind([[_154024, _154102], [17190 ^ [], 17193 ^ []]]))).
% 146.72/141.37  ncf('1.1.1',plain,[-(subrelstr(17193 ^ [], 17190 ^ [])), 6932 : subnetstr(17193 ^ [], 17187 ^ [], 17190 ^ []), 6932 : net_str(17193 ^ [], 17187 ^ []), 6928 : net_str(17190 ^ [], 17187 ^ []), 6924 : one_sorted_str(17187 ^ [])],extension(6920 ^ 6,bind([[_205680, _205780, _205873], [17187 ^ [], 17190 ^ [], 17193 ^ []]]))).
% 146.72/141.37  ncf('1.1.1.1',plain,[-(subnetstr(17193 ^ [], 17187 ^ [], 17190 ^ []))],extension(17195 ^ 13)).
% 146.72/141.37  ncf('1.1.1.2',plain,[-(net_str(17193 ^ [], 17187 ^ [])), 7980 : subnetstr(17193 ^ [], 17187 ^ [], 17190 ^ []), 7980 : one_sorted_str(17187 ^ []), 7980 : net_str(17190 ^ [], 17187 ^ [])],extension(7972 ^ 11,bind([[_220161, _220163, _220275], [17190 ^ [], 17187 ^ [], 17193 ^ []]]))).
% 146.72/141.37  ncf('1.1.1.2.1',plain,[-(subnetstr(17193 ^ [], 17187 ^ [], 17190 ^ []))],extension(17195 ^ 14)).
% 146.72/141.37  ncf('1.1.1.2.2',plain,[-(one_sorted_str(17187 ^ []))],extension(17189 ^ 12)).
% 146.72/141.37  ncf('1.1.1.2.3',plain,[-(net_str(17190 ^ [], 17187 ^ []))],extension(17192 ^ 12)).
% 146.72/141.37  ncf('1.1.1.3',plain,[-(net_str(17190 ^ [], 17187 ^ []))],extension(17192 ^ 9)).
% 146.72/141.37  ncf('1.1.1.4',plain,[-(one_sorted_str(17187 ^ []))],extension(17189 ^ 7)).
% 146.72/141.37  ncf('1.1.2',plain,[-(rel_str(17193 ^ [])), 7908 : net_str(17193 ^ [], 17187 ^ []), 7908 : one_sorted_str(17187 ^ [])],extension(7904 ^ 4,bind([[_219285, _219343], [17187 ^ [], 17193 ^ []]]))).
% 146.72/141.37  ncf('1.1.2.1',plain,[-(net_str(17193 ^ [], 17187 ^ [])), 7980 : subnetstr(17193 ^ [], 17187 ^ [], 17190 ^ []), 7980 : one_sorted_str(17187 ^ []), 7980 : net_str(17190 ^ [], 17187 ^ [])],extension(7972 ^ 7,bind([[_220161, _220163, _220275], [17190 ^ [], 17187 ^ [], 17193 ^ []]]))).
% 146.72/141.37  ncf('1.1.2.1.1',plain,[-(subnetstr(17193 ^ [], 17187 ^ [], 17190 ^ []))],extension(17195 ^ 10)).
% 146.72/141.37  ncf('1.1.2.1.2',plain,[-(one_sorted_str(17187 ^ []))],extension(17189 ^ 8)).
% 146.72/141.37  ncf('1.1.2.1.3',plain,[-(net_str(17190 ^ [], 17187 ^ []))],extension(17192 ^ 8)).
% 146.72/141.37  ncf('1.1.2.2',plain,[-(one_sorted_str(17187 ^ []))],extension(17189 ^ 5)).
% 146.72/141.37  ncf('1.1.3',plain,[-(rel_str(17190 ^ [])), 7908 : net_str(17190 ^ [], 17187 ^ []), 7908 : one_sorted_str(17187 ^ [])],extension(7904 ^ 2,bind([[_219285, _219343], [17187 ^ [], 17190 ^ []]]))).
% 146.72/141.37  ncf('1.1.3.1',plain,[-(net_str(17190 ^ [], 17187 ^ []))],extension(17192 ^ 5)).
% 146.72/141.37  ncf('1.1.3.2',plain,[-(one_sorted_str(17187 ^ []))],extension(17189 ^ 3)).
% 146.72/141.37  %-----------------------------------------------------
% 146.72/141.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------