%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU395+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n028.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 12:03:23 EDT 2023

% Result   : Theorem 222.53s 214.60s
% Output   : Proof 222.53s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SEU395+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n028.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 13:43:18 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 222.53/214.60  
% 222.53/214.60  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 222.53/214.60  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 222.53/214.60  %-----------------------------------------------------
% 222.53/214.60  ncf(matrix, plain, [(2933 ^ _98621) ^ [] : [2934 ^ _98621 : [(2937 ^ _98621) ^ [] : [is_a_convergence_point_of_set(2911 ^ [], 2918 ^ [], 2929 ^ [])], (2935 ^ _98621) ^ [] : [-(in(2929 ^ [], lim_points_of_net(2911 ^ [], net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ []))))]], 2938 ^ _98621 : [(2941 ^ _98621) ^ [] : [in(2929 ^ [], lim_points_of_net(2911 ^ [], net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ [])))], (2939 ^ _98621) ^ [] : [-(is_a_convergence_point_of_set(2911 ^ [], 2918 ^ [], 2929 ^ []))]]], (2920 ^ _98621) ^ [] : [empty(2918 ^ [])], (2922 ^ _98621) ^ [] : [-(filtered_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))))], (2928 ^ _98621) ^ [] : [-(element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ []))))))], (2926 ^ _98621) ^ [] : [-(proper_element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ []))))))], (2915 ^ _98621) ^ [] : [-(topological_space(2911 ^ []))], (2913 ^ _98621) ^ [] : [empty_carrier(2911 ^ [])], (2924 ^ _98621) ^ [] : [-(upper_relstr_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))))], (2917 ^ _98621) ^ [] : [-(top_str(2911 ^ []))], (2931 ^ _98621) ^ [] : [-(element(2929 ^ [], the_carrier(2911 ^ [])))], !, (2297 ^ _22266) ^ [] : [empty_carrier(2293 ^ [])], (1743 ^ _22266) ^ [_59997] : [empty(cast_as_carrier_subset(_59997)), -(empty_carrier(_59997)), rel_str(_59997)], (2864 ^ _22266) ^ [_95747, _95749] : [subset(_95749, _95747), -(element(_95749, powerset(_95747)))], (2214 ^ _22266) ^ [] : [-(reflexive_relstr(2206 ^ []))], (1004 ^ _22266) ^ [_37940, _37942, _37944] : [element(_37940, powerset(cartesian_product2(_37944, _37942))), -(relation(_37940))], (1272 ^ _22266) ^ [_45790] : [rel_str(_45790), 1287 ^ _22266 : [(1288 ^ _22266) ^ [] : [empty_carrier(_45790)], (1290 ^ _22266) ^ [] : [-(reflexive_relstr(_45790))], (1294 ^ _22266) ^ [] : [-(upper_bounded_relstr(_45790))], (1292 ^ _22266) ^ [] : [-(with_suprema_relstr(_45790))]], reflexive_relstr(_45790), with_suprema_relstr(_45790), up_complete_relstr(_45790)], (304 ^ _22266) ^ [_26200, _26202] : [-(v3_membered(_26200)), _26202 = _26200, v3_membered(_26202)], (2033 ^ _22266) ^ [_68644] : [v1_yellow_3(boole_POSet(_68644))], (1506 ^ _22266) ^ [_52358] : [rel_str(_52358), -(relation_of2_as_subset(the_InternalRel(_52358), the_carrier(_52358), the_carrier(_52358)))], (1322 ^ _22266) ^ [_47311, _47313, _47315, _47317] : [1341 ^ _22266 : [(1344 ^ _22266) ^ [] : [-(net_str(net_str_of(_47317, _47315, _47313, _47311), _47317))], (1342 ^ _22266) ^ [] : [-(strict_net_str(net_str_of(_47317, _47315, _47313, _47311), _47317))]], one_sorted_str(_47317), relation_of2(_47313, _47315, _47315), function(_47311), quasi_total(_47311, _47315, the_carrier(_47317)), relation_of2(_47311, _47315, the_carrier(_47317))], (466 ^ _22266) ^ [_28377, _28379, _28381, _28383, _28385, _28387] : [-(relation_of2(_28385, _28381, _28377)), relation_of2(_28387, _28383, _28379), _28387 = _28385, _28383 = _28381, _28379 = _28377], (2205 ^ _22266) ^ [] : [-(connected_relstr(2193 ^ []))], (2541 ^ _22266) ^ [_85307] : [2569 ^ _22266 : [(2576 ^ _22266) ^ [] : [-(filtered_subset(2568 ^ [_85307], _85307))], (2574 ^ _22266) ^ [] : [-(proper_element(2568 ^ [_85307], powerset(the_carrier(_85307))))], (2572 ^ _22266) ^ [] : [empty(2568 ^ [_85307])], (2570 ^ _22266) ^ [] : [-(element(2568 ^ [_85307], powerset(the_carrier(_85307))))], (2578 ^ _22266) ^ [] : [-(upper_relstr_subset(2568 ^ [_85307], _85307))]], -(empty_carrier(_85307)), -(trivial_carrier(_85307)), reflexive_relstr(_85307), transitive_relstr(_85307), antisymmetric_relstr(_85307), upper_bounded_relstr(_85307), rel_str(_85307)], (1172 ^ _22266) ^ [_42832] : [topological_space(_42832), top_str(_42832), 1179 ^ _22266 : [(1180 ^ _22266) ^ [_43068] : [element(_43068, powerset(the_carrier(_42832))), 1191 ^ _22266 : [(1194 ^ _22266) ^ [] : [-(nowhere_dense(_43068, _42832))], (1192 ^ _22266) ^ [] : [-(boundary_set(_43068, _42832))]], closed_subset(_43068, _42832), boundary_set(_43068, _42832)]]], (2011 ^ _22266) ^ [_67930] : [empty_carrier(boole_POSet(_67930))], (150 ^ _22266) ^ [_24257, _24259] : [-(boolean_relstr(_24257)), _24259 = _24257, boolean_relstr(_24259)], (652 ^ _22266) ^ [_30868, _30870, _30872, _30874, _30876, _30878] : [-(is_a_convergence_point_of_set(_30876, _30872, _30868)), is_a_convergence_point_of_set(_30878, _30874, _30870), _30878 = _30876, _30874 = _30872, _30870 = _30868], (1815 ^ _22266) ^ [_62054] : [1822 ^ _22266 : [(1825 ^ _22266) ^ [] : [-(filtered_subset(cast_as_carrier_subset(_62054), _62054))], (1823 ^ _22266) ^ [] : [empty(cast_as_carrier_subset(_62054))]], with_infima_relstr(_62054), rel_str(_62054)], (2370 ^ _22266) ^ [] : [empty(2368 ^ [])], (2654 ^ _22266) ^ [_89031] : [2662 ^ _22266 : [(2665 ^ _22266) ^ [] : [-(closed_subset(2661 ^ [_89031], _89031))], (2663 ^ _22266) ^ [] : [-(element(2661 ^ [_89031], powerset(the_carrier(_89031))))]], topological_space(_89031), top_str(_89031)], (52 ^ _22266) ^ [_22988, _22990] : [-(function(_22988)), _22990 = _22988, function(_22990)], (2363 ^ _22266) ^ [] : [-(with_suprema_relstr(2349 ^ []))], (2635 ^ _22266) ^ [_88305] : [one_sorted_str(_88305), 2639 ^ _22266 : [(2648 ^ _22266) ^ [] : [-(antisymmetric_relstr(2638 ^ [_88305]))], (2644 ^ _22266) ^ [] : [-(reflexive_relstr(2638 ^ [_88305]))], (2646 ^ _22266) ^ [] : [-(transitive_relstr(2638 ^ [_88305]))], (2640 ^ _22266) ^ [] : [-(net_str(2638 ^ [_88305], _88305))], (2652 ^ _22266) ^ [] : [-(directed_relstr(2638 ^ [_88305]))], (2650 ^ _22266) ^ [] : [-(strict_net_str(2638 ^ [_88305], _88305))], (2642 ^ _22266) ^ [] : [empty_carrier(2638 ^ [_88305])]]], (1657 ^ _22266) ^ [_57141] : [-(complete_relstr(boole_POSet(_57141)))], (772 ^ _22266) ^ [_32889, _32891, _32893, _32895, _32897, _32899] : [-(net_of_bool_filter(_32899, _32895, _32891) = net_of_bool_filter(_32897, _32893, _32889)), _32899 = _32897, _32895 = _32893, _32891 = _32889], (2427 ^ _22266) ^ [] : [empty_carrier(2423 ^ [])], (494 ^ _22266) ^ [_28771, _28773] : [-(directed_relstr(_28771)), _28773 = _28771, directed_relstr(_28773)], (750 ^ _22266) ^ [_32570, _32572] : [_32572 = _32570, -(boole_POSet(_32572) = boole_POSet(_32570))], (504 ^ _22266) ^ [_28896, _28898, _28900, _28902] : [-(net_str(_28900, _28896)), net_str(_28902, _28898), _28902 = _28900, _28898 = _28896], (2252 ^ _22266) ^ [] : [-(antisymmetric_relstr(2240 ^ []))], (2023 ^ _22266) ^ [_68320] : [-(upper_bounded_relstr(boole_POSet(_68320)))], (20 ^ _22266) ^ [_22526, _22528, _22530, _22532] : [-(dense(_22530, _22526)), dense(_22532, _22528), _22532 = _22530, _22528 = _22526], (1563 ^ _22266) ^ [_54254, _54256] : [-(finite(cartesian_product2(_54256, _54254))), finite(_54256), finite(_54254)], (1412 ^ _22266) ^ [] : [true___, -(true___)], (1232 ^ _22266) ^ [_44466] : [topological_space(_44466), top_str(_44466), 1239 ^ _22266 : [(1240 ^ _22266) ^ [_44744] : [element(_44744, powerset(the_carrier(_44466))), 1251 ^ _22266 : [(1270 ^ _22266) ^ [] : [-(nowhere_dense(_44744, _44466))], (1258 ^ _22266) ^ [] : [-(v1_membered(_44744))], (1260 ^ _22266) ^ [] : [-(v2_membered(_44744))], (1266 ^ _22266) ^ [] : [-(v5_membered(_44744))], (1264 ^ _22266) ^ [] : [-(v4_membered(_44744))], (1254 ^ _22266) ^ [] : [-(open_subset(_44744, _44466))], (1252 ^ _22266) ^ [] : [-(empty(_44744))], (1262 ^ _22266) ^ [] : [-(v3_membered(_44744))], (1256 ^ _22266) ^ [] : [-(closed_subset(_44744, _44466))], (1268 ^ _22266) ^ [] : [-(boundary_set(_44744, _44466))]], open_subset(_44744, _44466), nowhere_dense(_44744, _44466)]]], (528 ^ _22266) ^ [_29214, _29216, _29218, _29220] : [-(subset(_29218, _29214)), subset(_29220, _29216), _29220 = _29218, _29216 = _29214], (2583 ^ _22266) ^ [] : [empty_carrier(2579 ^ [])], (1769 ^ _22266) ^ [_60725, _60727] : [1792 ^ _22266 : [(1793 ^ _22266) ^ [] : [empty(filter_of_net_str(_60727, _60725))], (1795 ^ _22266) ^ [] : [-(filtered_subset(filter_of_net_str(_60727, _60725), boole_POSet(cast_as_carrier_subset(_60727))))], (1799 ^ _22266) ^ [] : [-(proper_element(filter_of_net_str(_60727, _60725), powerset(the_carrier(boole_POSet(cast_as_carrier_subset(_60727))))))], (1797 ^ _22266) ^ [] : [-(upper_relstr_subset(filter_of_net_str(_60727, _60725), boole_POSet(cast_as_carrier_subset(_60727))))]], -(empty_carrier(_60727)), one_sorted_str(_60727), -(empty_carrier(_60725)), transitive_relstr(_60725), directed_relstr(_60725), net_str(_60725, _60727)], (2377 ^ _22266) ^ [_79634] : [-(empty(2373 ^ [_79634]))], (982 ^ _22266) ^ [_37270] : [empty(_37270), -(finite(_37270))], (484 ^ _22266) ^ [_28646, _28648] : [-(transitive_relstr(_28646)), _28648 = _28646, transitive_relstr(_28648)], (1623 ^ _22266) ^ [_56057] : [empty_carrier(boole_POSet(_56057))], (686 ^ _22266) ^ [_31588, _31590, _31592, _31594] : [-(cartesian_product2(_31594, _31590) = cartesian_product2(_31592, _31588)), _31594 = _31592, _31590 = _31588], (2305 ^ _22266) ^ [] : [-(transitive_relstr(2293 ^ []))], (2532 ^ _22266) ^ [_84984] : [one_sorted_str(_84984), 2536 ^ _22266 : [(2539 ^ _22266) ^ [] : [-(strict_net_str(2535 ^ [_84984], _84984))], (2537 ^ _22266) ^ [] : [-(net_str(2535 ^ [_84984], _84984))]]], (2332 ^ _22266) ^ [] : [empty_carrier(2328 ^ [])], (2100 ^ _22266) ^ [_70966, _70968, _70970, _70972] : [2119 ^ _22266 : [(2120 ^ _22266) ^ [_71594, _71596, _71598, _71600] : [net_str_of(_70972, _70970, _70968, _70966) = net_str_of(_71600, _71598, _71596, _71594), 2123 ^ _22266 : [(2124 ^ _22266) ^ [] : [-(_70972 = _71600)], (2126 ^ _22266) ^ [] : [-(_70970 = _71598)], (2130 ^ _22266) ^ [] : [-(_70966 = _71594)], (2128 ^ _22266) ^ [] : [-(_70968 = _71596)]]]], one_sorted_str(_70972), relation_of2(_70968, _70970, _70970), function(_70966), quasi_total(_70966, _70970, the_carrier(_70972)), relation_of2(_70966, _70970, the_carrier(_70972))], (1460 ^ _22266) ^ [_51056] : [rel_str(_51056), -(one_sorted_str(_51056))], (1376 ^ _22266) ^ [] : [true___, -(true___)], (2199 ^ _22266) ^ [] : [-(reflexive_relstr(2193 ^ []))], (2459 ^ _22266) ^ [] : [-(relation(2457 ^ []))], (324 ^ _22266) ^ [_26450, _26452] : [-(v5_membered(_26450)), _26452 = _26450, v5_membered(_26452)], (2375 ^ _22266) ^ [_79583] : [-(element(2373 ^ [_79583], powerset(_79583)))], (2858 ^ _22266) ^ [_95581, _95583] : [element(_95583, powerset(_95581)), -(subset(_95583, _95581))], (2870 ^ _22266) ^ [_95977, _95979, _95981] : [-(element(_95981, _95977)), in(_95981, _95979), element(_95979, powerset(_95977))], (2226 ^ _22266) ^ [] : [-(lower_bounded_relstr(2206 ^ []))], (2327 ^ _22266) ^ [] : [-(with_infima_relstr(2293 ^ []))], (2195 ^ _22266) ^ [] : [-(rel_str(2193 ^ []))], (1314 ^ _22266) ^ [_46988, _46990] : [relation_of2(_46988, _46990, _46990), 1317 ^ _22266 : [(1320 ^ _22266) ^ [] : [-(rel_str(rel_str_of(_46990, _46988)))], (1318 ^ _22266) ^ [] : [-(strict_rel_str(rel_str_of(_46990, _46988)))]]], (2890 ^ _22266) ^ [_96600] : [empty(_96600), -(_96600 = empty_set)], (2001 ^ _22266) ^ [_67572] : [-(upper_bounded_relstr(boole_POSet(_67572)))], (2365 ^ _22266) ^ [] : [-(with_infima_relstr(2349 ^ []))], (2330 ^ _22266) ^ [] : [-(rel_str(2328 ^ []))], (988 ^ _22266) ^ [_37456] : [rel_str(_37456), with_suprema_relstr(_37456), empty_carrier(_37456)], (314 ^ _22266) ^ [_26325, _26327] : [-(v4_membered(_26325)), _26327 = _26325, v4_membered(_26327)], (4 ^ _22266) ^ [_22316, _22318] : [_22318 = _22316, -(_22316 = _22318)], (200 ^ _22266) ^ [_24882, _24884] : [-(bounded_relstr(_24882)), _24884 = _24882, bounded_relstr(_24884)], (2029 ^ _22266) ^ [_68515] : [-(up_complete_relstr(boole_POSet(_68515)))], (160 ^ _22266) ^ [_24382, _24384] : [-(with_suprema_relstr(_24382)), _24384 = _24382, with_suprema_relstr(_24384)], (1753 ^ _22266) ^ [_60274] : [1764 ^ _22266 : [(1767 ^ _22266) ^ [] : [-(directed_subset(cast_as_carrier_subset(_60274), _60274))], (1765 ^ _22266) ^ [] : [empty(cast_as_carrier_subset(_60274))]], -(empty_carrier(_60274)), upper_bounded_relstr(_60274), rel_str(_60274)], (2222 ^ _22266) ^ [] : [-(with_infima_relstr(2206 ^ []))], (762 ^ _22266) ^ [_32740, _32742, _32744, _32746] : [-(lim_points_of_net(_32746, _32742) = lim_points_of_net(_32744, _32740)), _32746 = _32744, _32742 = _32740], (2589 ^ _22266) ^ [] : [-(directed_relstr(2579 ^ []))], (1030 ^ _22266) ^ [_38754] : [rel_str(_38754), 1041 ^ _22266 : [(1044 ^ _22266) ^ [] : [-(with_suprema_relstr(_38754))], (1046 ^ _22266) ^ [] : [-(with_infima_relstr(_38754))], (1042 ^ _22266) ^ [] : [empty_carrier(_38754)]], -(empty_carrier(_38754)), complete_relstr(_38754)], (572 ^ _22266) ^ [_29782, _29784] : [-(empty(_29782)), _29784 = _29782, empty(_29784)], (2896 ^ _22266) ^ [_96802, _96804] : [in(_96804, _96802), empty(_96802)], (2313 ^ _22266) ^ [] : [-(bounded_relstr(2293 ^ []))], (34 ^ _22266) ^ [_22719, _22721, _22723, _22725, _22727, _22729] : [-(is_eventually_in(_22727, _22723, _22719)), is_eventually_in(_22729, _22725, _22721), _22729 = _22727, _22725 = _22723, _22721 = _22719], (1975 ^ _22266) ^ [_66724] : [-(antisymmetric_relstr(boole_POSet(_66724)))], (2005 ^ _22266) ^ [_67702] : [-(with_suprema_relstr(boole_POSet(_67702)))], (410 ^ _22266) ^ [_27597, _27599] : [-(rel_str(_27597)), _27599 = _27597, rel_str(_27599)], (2246 ^ _22266) ^ [] : [-(strict_rel_str(2240 ^ []))], (1635 ^ _22266) ^ [_56447] : [-(upper_bounded_relstr(boole_POSet(_56447)))], (596 ^ _22266) ^ [_30100, _30102, _30104, _30106] : [-(upper_relstr_subset(_30104, _30100)), upper_relstr_subset(_30106, _30102), _30106 = _30104, _30102 = _30100], (998 ^ _22266) ^ [_37726] : [empty(_37726), -(relation(_37726))], (2047 ^ _22266) ^ [_69161, _69163, _69165] : [-(empty_carrier(_69163)), one_sorted_str(_69163), -(empty_carrier(_69161)), net_str(_69161, _69163), 2062 ^ _22266 : [(2074 ^ _22266) ^ [] : [-(in(_69165, a_2_1_yellow19(_69163, _69161))), 2075 ^ _22266 : [(2076 ^ _22266) ^ [_70043] : [element(_70043, powerset(the_carrier(_69163))), _69165 = _70043, is_eventually_in(_69163, _69161, _70043)]]], (2063 ^ _22266) ^ [] : [in(_69165, a_2_1_yellow19(_69163, _69161)), 2067 ^ _22266 : [(2070 ^ _22266) ^ [] : [-(_69165 = 2066 ^ [_69161, _69163, _69165])], (2072 ^ _22266) ^ [] : [-(is_eventually_in(_69163, _69161, 2066 ^ [_69161, _69163, _69165]))], (2068 ^ _22266) ^ [] : [-(element(2066 ^ [_69161, _69163, _69165], powerset(the_carrier(_69163))))]]]]], (170 ^ _22266) ^ [_24507, _24509] : [-(with_infima_relstr(_24507)), _24509 = _24507, with_infima_relstr(_24509)], (2157 ^ _22266) ^ [_72871] : [2181 ^ _22266 : [(2190 ^ _22266) ^ [] : [-(lower_relstr_subset(2180 ^ [_72871], _72871))], (2186 ^ _22266) ^ [] : [-(directed_subset(2180 ^ [_72871], _72871))], (2188 ^ _22266) ^ [] : [-(filtered_subset(2180 ^ [_72871], _72871))], (2192 ^ _22266) ^ [] : [-(upper_relstr_subset(2180 ^ [_72871], _72871))], (2182 ^ _22266) ^ [] : [-(element(2180 ^ [_72871], powerset(the_carrier(_72871))))], (2184 ^ _22266) ^ [] : [empty(2180 ^ [_72871])]], reflexive_relstr(_72871), transitive_relstr(_72871), antisymmetric_relstr(_72871), with_suprema_relstr(_72871), with_infima_relstr(_72871), rel_str(_72871)], (2228 ^ _22266) ^ [] : [-(upper_bounded_relstr(2206 ^ []))], (2237 ^ _22266) ^ [] : [empty(2235 ^ [])], (2355 ^ _22266) ^ [] : [-(strict_rel_str(2349 ^ []))], (2435 ^ _22266) ^ [] : [-(with_suprema_relstr(2423 ^ []))], (2 ^ _22266) ^ [_22293] : [-(_22293 = _22293)], (2753 ^ _22266) ^ [_92325] : [-(empty_carrier(_92325)), topological_space(_92325), top_str(_92325), 2764 ^ _22266 : [(2765 ^ _22266) ^ [_92668] : [-(empty_carrier(_92668)), transitive_relstr(_92668), directed_relstr(_92668), net_str(_92668, _92325), 2780 ^ _22266 : [(2781 ^ _22266) ^ [_93086] : [element(_93086, the_carrier(_92325)), 2784 ^ _22266 : [(2791 ^ _22266) ^ [] : [is_a_convergence_point_of_set(_92325, filter_of_net_str(_92325, _92668), _93086), -(in(_93086, lim_points_of_net(_92325, _92668)))], (2785 ^ _22266) ^ [] : [in(_93086, lim_points_of_net(_92325, _92668)), -(is_a_convergence_point_of_set(_92325, filter_of_net_str(_92325, _92668), _93086))]]]]]]], (1967 ^ _22266) ^ [_66484] : [empty_carrier(boole_POSet(_66484))], (1877 ^ _22266) ^ [_63846] : [1888 ^ _22266 : [(1891 ^ _22266) ^ [] : [-(filtered_subset(cast_as_carrier_subset(_63846), _63846))], (1889 ^ _22266) ^ [] : [empty(cast_as_carrier_subset(_63846))]], -(empty_carrier(_63846)), lower_bounded_relstr(_63846), rel_str(_63846)], (1993 ^ _22266) ^ [_67312] : [-(reflexive_relstr(boole_POSet(_67312)))], (1512 ^ _22266) ^ [] : [true___, -(true___)], (2197 ^ _22266) ^ [] : [empty_carrier(2193 ^ [])], (542 ^ _22266) ^ [_29407, _29409] : [-(empty_carrier(_29407)), _29409 = _29407, empty_carrier(_29409)], (2242 ^ _22266) ^ [] : [-(rel_str(2240 ^ []))], (1991 ^ _22266) ^ [_67247] : [-(strict_rel_str(boole_POSet(_67247)))], (1536 ^ _22266) ^ [] : [-(top_str(1534 ^ []))], (1977 ^ _22266) ^ [_66826] : [1984 ^ _22266 : [(1987 ^ _22266) ^ [] : [-(closed_subset(cast_as_carrier_subset(_66826), _66826))], (1985 ^ _22266) ^ [] : [-(open_subset(cast_as_carrier_subset(_66826), _66826))]], topological_space(_66826), top_str(_66826)], (756 ^ _22266) ^ [_32655, _32657] : [_32657 = _32655, -(the_carrier(_32657) = the_carrier(_32655))], (1058 ^ _22266) ^ [_39588] : [rel_str(_39588), with_infima_relstr(_39588), empty_carrier(_39588)], (2270 ^ _22266) ^ [_76294] : [2278 ^ _22266 : [(2281 ^ _22266) ^ [] : [-(open_subset(2277 ^ [_76294], _76294))], (2279 ^ _22266) ^ [] : [-(element(2277 ^ [_76294], powerset(the_carrier(_76294))))]], topological_space(_76294), top_str(_76294)], (2902 ^ _22266) ^ [_96989, _96991] : [empty(_96991), -(_96991 = _96989), empty(_96989)], (1394 ^ _22266) ^ [_49220, _49222] : [-(element(filter_of_net_str(_49222, _49220), powerset(the_carrier(boole_POSet(cast_as_carrier_subset(_49222)))))), -(empty_carrier(_49222)), one_sorted_str(_49222), -(empty_carrier(_49220)), net_str(_49220, _49222)], (1939 ^ _22266) ^ [_65678, _65680, _65682, _65684] : [1962 ^ _22266 : [(1965 ^ _22266) ^ [] : [-(strict_net_str(net_str_of(_65684, _65682, _65680, _65678), _65684))], (1963 ^ _22266) ^ [] : [empty_carrier(net_str_of(_65684, _65682, _65680, _65678))]], one_sorted_str(_65684), -(empty(_65682)), relation_of2(_65680, _65682, _65682), function(_65678), quasi_total(_65678, _65682, the_carrier(_65684)), relation_of2(_65678, _65682, the_carrier(_65684))], (552 ^ _22266) ^ [_29532, _29534] : [-(topological_space(_29532)), _29534 = _29532, topological_space(_29534)], (2466 ^ _22266) ^ [] : [empty_carrier(2462 ^ [])], (2587 ^ _22266) ^ [] : [-(transitive_relstr(2579 ^ []))], (1681 ^ _22266) ^ [_57897] : [-(empty(_57897)), 1684 ^ _22266 : [(1693 ^ _22266) ^ [] : [-(transitive_relstr(boole_POSet(_57897)))], (1721 ^ _22266) ^ [] : [-(complete_relstr(boole_POSet(_57897)))], (1705 ^ _22266) ^ [] : [-(join_complete_relstr(boole_POSet(_57897)))], (1699 ^ _22266) ^ [] : [-(upper_bounded_relstr(boole_POSet(_57897)))], (1687 ^ _22266) ^ [] : [trivial_carrier(boole_POSet(_57897))], (1717 ^ _22266) ^ [] : [-(with_suprema_relstr(boole_POSet(_57897)))], (1689 ^ _22266) ^ [] : [-(strict_rel_str(boole_POSet(_57897)))], (1709 ^ _22266) ^ [] : [-(distributive_relstr(boole_POSet(_57897)))], (1697 ^ _22266) ^ [] : [-(lower_bounded_relstr(boole_POSet(_57897)))], (1701 ^ _22266) ^ [] : [-(bounded_relstr(boole_POSet(_57897)))], (1703 ^ _22266) ^ [] : [-(up_complete_relstr(boole_POSet(_57897)))], (1711 ^ _22266) ^ [] : [-(heyting_relstr(boole_POSet(_57897)))], (1719 ^ _22266) ^ [] : [-(with_infima_relstr(boole_POSet(_57897)))], (1695 ^ _22266) ^ [] : [-(antisymmetric_relstr(boole_POSet(_57897)))], (1707 ^ _22266) ^ [] : [v1_yellow_3(boole_POSet(_57897))], (1715 ^ _22266) ^ [] : [-(boolean_relstr(boole_POSet(_57897)))], (1685 ^ _22266) ^ [] : [empty_carrier(boole_POSet(_57897))], (1713 ^ _22266) ^ [] : [-(complemented_relstr(boole_POSet(_57897)))], (1691 ^ _22266) ^ [] : [-(reflexive_relstr(boole_POSet(_57897)))]]], (822 ^ _22266) ^ [_33638] : [rel_str(_33638), 837 ^ _22266 : [(838 ^ _22266) ^ [] : [empty_carrier(_33638)], (840 ^ _22266) ^ [] : [-(reflexive_relstr(_33638))], (844 ^ _22266) ^ [] : [-(join_complete_relstr(_33638))], (842 ^ _22266) ^ [] : [-(up_complete_relstr(_33638))]], -(empty_carrier(_33638)), reflexive_relstr(_33638), complete_relstr(_33638)], (2031 ^ _22266) ^ [_68580] : [-(join_complete_relstr(boole_POSet(_68580)))], (2307 ^ _22266) ^ [] : [-(antisymmetric_relstr(2293 ^ []))], (1533 ^ _22266) ^ [] : [-(rel_str(1531 ^ []))], (1541 ^ _22266) ^ [_53428] : [one_sorted_str(_53428), -(net_str(1544 ^ [_53428], _53428))], (786 ^ _22266) ^ [_33106, _33108] : [_33108 = _33106, -(cast_as_carrier_subset(_33108) = cast_as_carrier_subset(_33106))], (1555 ^ _22266) ^ [_53974, _53976] : [-(relation_of2_as_subset(1553 ^ [_53974, _53976], _53976, _53974))], (1997 ^ _22266) ^ [_67442] : [-(antisymmetric_relstr(boole_POSet(_67442)))], (250 ^ _22266) ^ [_25507, _25509] : [-(upper_bounded_relstr(_25507)), _25509 = _25507, upper_bounded_relstr(_25509)], (2464 ^ _22266) ^ [] : [-(one_sorted_str(2462 ^ []))], (294 ^ _22266) ^ [_26075, _26077] : [-(v2_membered(_26075)), _26077 = _26075, v2_membered(_26077)], (2604 ^ _22266) ^ [_87158] : [2612 ^ _22266 : [(2617 ^ _22266) ^ [] : [-(open_subset(2611 ^ [_87158], _87158))], (2629 ^ _22266) ^ [] : [-(v5_membered(2611 ^ [_87158]))], (2615 ^ _22266) ^ [] : [-(empty(2611 ^ [_87158]))], (2621 ^ _22266) ^ [] : [-(v1_membered(2611 ^ [_87158]))], (2619 ^ _22266) ^ [] : [-(closed_subset(2611 ^ [_87158], _87158))], (2627 ^ _22266) ^ [] : [-(v4_membered(2611 ^ [_87158]))], (2625 ^ _22266) ^ [] : [-(v3_membered(2611 ^ [_87158]))], (2623 ^ _22266) ^ [] : [-(v2_membered(2611 ^ [_87158]))], (2631 ^ _22266) ^ [] : [-(boundary_set(2611 ^ [_87158], _87158))], (2633 ^ _22266) ^ [] : [-(nowhere_dense(2611 ^ [_87158], _87158))], (2613 ^ _22266) ^ [] : [-(element(2611 ^ [_87158], powerset(the_carrier(_87158))))]], topological_space(_87158), top_str(_87158)], (2323 ^ _22266) ^ [] : [-(boolean_relstr(2293 ^ []))], (1805 ^ _22266) ^ [_61762, _61764] : [empty(cartesian_product2(_61764, _61762)), -(empty(_61764)), -(empty(_61762))], (130 ^ _22266) ^ [_24007, _24009] : [-(heyting_relstr(_24007)), _24009 = _24007, heyting_relstr(_24009)], (2210 ^ _22266) ^ [] : [empty_carrier(2206 ^ [])], (2797 ^ _22266) ^ [_93597] : [-(empty_carrier(_93597)), one_sorted_str(_93597), 2804 ^ _22266 : [(2805 ^ _22266) ^ [_93872] : [-(_93872 = filter_of_net_str(_93597, net_of_bool_filter(_93597, cast_as_carrier_subset(_93597), _93872))), -(empty(_93872)), filtered_subset(_93872, boole_POSet(cast_as_carrier_subset(_93597))), upper_relstr_subset(_93872, boole_POSet(cast_as_carrier_subset(_93597))), proper_element(_93872, powerset(the_carrier(boole_POSet(cast_as_carrier_subset(_93597))))), element(_93872, powerset(the_carrier(boole_POSet(cast_as_carrier_subset(_93597)))))]]], (2334 ^ _22266) ^ [] : [-(strict_rel_str(2328 ^ []))], (2321 ^ _22266) ^ [] : [-(complemented_relstr(2293 ^ []))], (1655 ^ _22266) ^ [_57096] : [-(with_infima_relstr(boole_POSet(_57096)))], (1971 ^ _22266) ^ [_66614] : [-(reflexive_relstr(boole_POSet(_66614)))], (1068 ^ _22266) ^ [_39858] : [top_str(_39858), 1071 ^ _22266 : [(1072 ^ _22266) ^ [_39998] : [element(_39998, powerset(the_carrier(_39858))), empty(_39998), -(boundary_set(_39998, _39858))]]], (2218 ^ _22266) ^ [] : [-(antisymmetric_relstr(2206 ^ []))], (518 ^ _22266) ^ [_29089, _29091] : [-(one_sorted_str(_29089)), _29091 = _29089, one_sorted_str(_29091)], (2257 ^ _22266) ^ [] : [-(empty(2255 ^ []))], (240 ^ _22266) ^ [_25382, _25384] : [-(trivial_carrier(_25382)), _25384 = _25382, trivial_carrier(_25384)], (1549 ^ _22266) ^ [_53708, _53710] : [-(relation_of2(1547 ^ [_53708, _53710], _53710, _53708))], (400 ^ _22266) ^ [_27472, _27474] : [-(reflexive_relstr(_27472)), _27474 = _27472, reflexive_relstr(_27474)], (2422 ^ _22266) ^ [_81164] : [-(finite(2416 ^ [_81164]))], (2232 ^ _22266) ^ [] : [-(up_complete_relstr(2206 ^ []))], (1082 ^ _22266) ^ [_40296] : [rel_str(_40296), 1097 ^ _22266 : [(1104 ^ _22266) ^ [] : [-(antisymmetric_relstr(_40296))], (1102 ^ _22266) ^ [] : [-(transitive_relstr(_40296))], (1100 ^ _22266) ^ [] : [-(reflexive_relstr(_40296))], (1098 ^ _22266) ^ [] : [empty_carrier(_40296)], (1106 ^ _22266) ^ [] : [-(complete_relstr(_40296))]], -(empty_carrier(_40296)), reflexive_relstr(_40296), trivial_carrier(_40296)], (2220 ^ _22266) ^ [] : [-(with_suprema_relstr(2206 ^ []))], (2361 ^ _22266) ^ [] : [-(antisymmetric_relstr(2349 ^ []))], (2021 ^ _22266) ^ [_68255] : [-(lower_bounded_relstr(boole_POSet(_68255)))], (1627 ^ _22266) ^ [_56187] : [-(reflexive_relstr(boole_POSet(_56187)))], (2027 ^ _22266) ^ [_68450] : [-(directed_relstr(boole_POSet(_68450)))], (920 ^ _22266) ^ [_35651] : [rel_str(_35651), 939 ^ _22266 : [(940 ^ _22266) ^ [] : [empty_carrier(_35651)], (942 ^ _22266) ^ [] : [-(reflexive_relstr(_35651))], (946 ^ _22266) ^ [] : [-(with_infima_relstr(_35651))], (944 ^ _22266) ^ [] : [-(antisymmetric_relstr(_35651))]], -(empty_carrier(_35651)), reflexive_relstr(_35651), antisymmetric_relstr(_35651), join_complete_relstr(_35651)], (802 ^ _22266) ^ [_33355, _33357] : [one_sorted_str(_33357), net_str(_33355, _33357), strict_net_str(_33355, _33357), -(_33355 = net_str_of(_33357, the_carrier(_33355), the_InternalRel(_33355), the_mapping(_33357, _33355)))], (1999 ^ _22266) ^ [_67507] : [-(lower_bounded_relstr(boole_POSet(_67507)))], (638 ^ _22266) ^ [_30679, _30681, _30683, _30685] : [-(in(_30683, _30679)), in(_30685, _30681), _30685 = _30683, _30681 = _30679], (2367 ^ _22266) ^ [] : [-(complete_relstr(2349 ^ []))], (2445 ^ _22266) ^ [] : [-(bounded_relstr(2423 ^ []))], (2843 ^ _22266) ^ [_95022, _95024] : [-(_95024 = _95022), 2847 ^ _22266 : [(2850 ^ _22266) ^ [] : [in(2844 ^ [_95022, _95024], _95022)], (2848 ^ _22266) ^ [] : [-(in(2844 ^ [_95022, _95024], _95024))]], 2851 ^ _22266 : [(2854 ^ _22266) ^ [] : [in(2844 ^ [_95022, _95024], _95024)], (2852 ^ _22266) ^ [] : [-(in(2844 ^ [_95022, _95024], _95022))]]], (1653 ^ _22266) ^ [_57031] : [-(with_suprema_relstr(boole_POSet(_57031)))], (448 ^ _22266) ^ [_28108, _28110, _28112, _28114, _28116, _28118] : [-(relation_of2_as_subset(_28116, _28112, _28108)), relation_of2_as_subset(_28118, _28114, _28110), _28118 = _28116, _28114 = _28112, _28110 = _28108], (1621 ^ _22266) ^ [_55959] : [empty(powerset(_55959))], (2003 ^ _22266) ^ [_67637] : [-(bounded_relstr(boole_POSet(_67637)))], (868 ^ _22266) ^ [_34249] : [rel_str(_34249), 899 ^ _22266 : [(918 ^ _22266) ^ [] : [-(bounded_relstr(_34249))], (906 ^ _22266) ^ [] : [-(antisymmetric_relstr(_34249))], (908 ^ _22266) ^ [] : [-(with_suprema_relstr(_34249))], (914 ^ _22266) ^ [] : [-(lower_bounded_relstr(_34249))], (912 ^ _22266) ^ [] : [-(complete_relstr(_34249))], (902 ^ _22266) ^ [] : [-(reflexive_relstr(_34249))], (900 ^ _22266) ^ [] : [empty_carrier(_34249)], (910 ^ _22266) ^ [] : [-(with_infima_relstr(_34249))], (904 ^ _22266) ^ [] : [-(transitive_relstr(_34249))], (916 ^ _22266) ^ [] : [-(upper_bounded_relstr(_34249))]], -(empty_carrier(_34249)), reflexive_relstr(_34249), transitive_relstr(_34249), antisymmetric_relstr(_34249), with_suprema_relstr(_34249), lower_bounded_relstr(_34249), up_complete_relstr(_34249)], (734 ^ _22266) ^ [_32336, _32338, _32340, _32342] : [-(filter_of_net_str(_32342, _32338) = filter_of_net_str(_32340, _32336)), _32342 = _32340, _32338 = _32336], (210 ^ _22266) ^ [_25007, _25009] : [-(relation(_25007)), _25009 = _25007, relation(_25009)], (2325 ^ _22266) ^ [] : [-(with_suprema_relstr(2293 ^ []))], (1643 ^ _22266) ^ [_56706] : [v1_yellow_3(boole_POSet(_56706))], (2697 ^ _22266) ^ [_90454] : [2705 ^ _22266 : [(2706 ^ _22266) ^ [] : [-(element(2704 ^ [_90454], powerset(the_carrier(_90454))))], (2708 ^ _22266) ^ [] : [empty(2704 ^ [_90454])], (2712 ^ _22266) ^ [] : [-(upper_relstr_subset(2704 ^ [_90454], _90454))], (2710 ^ _22266) ^ [] : [-(lower_relstr_subset(2704 ^ [_90454], _90454))]], -(empty_carrier(_90454)), rel_str(_90454)], (2041 ^ _22266) ^ [_68941] : [top_str(_68941), -(dense(cast_as_carrier_subset(_68941), _68941))], (2039 ^ _22266) ^ [_68819] : [-(complete_relstr(boole_POSet(_68819)))], (2437 ^ _22266) ^ [] : [-(with_infima_relstr(2423 ^ []))], (1573 ^ _22266) ^ [_54539] : [1580 ^ _22266 : [(1583 ^ _22266) ^ [] : [-(lower_relstr_subset(cast_as_carrier_subset(_54539), _54539))], (1585 ^ _22266) ^ [] : [-(upper_relstr_subset(cast_as_carrier_subset(_54539), _54539))], (1581 ^ _22266) ^ [] : [empty(cast_as_carrier_subset(_54539))]], -(empty_carrier(_54539)), rel_str(_54539)], (120 ^ _22266) ^ [_23882, _23884] : [-(distributive_relstr(_23882)), _23884 = _23882, distributive_relstr(_23884)], (2224 ^ _22266) ^ [] : [-(complete_relstr(2206 ^ []))], (2418 ^ _22266) ^ [_81044] : [-(element(2416 ^ [_81044], powerset(powerset(_81044))))], (2739 ^ _22266) ^ [_91851, _91853, _91855] : [relation_of2_as_subset(_91851, _91855, _91853), -(relation_of2(_91851, _91855, _91853))], (1559 ^ _22266) ^ [] : [-(relation(empty_set))], (744 ^ _22266) ^ [_32485, _32487] : [_32487 = _32485, -(powerset(_32487) = powerset(_32485))], (2303 ^ _22266) ^ [] : [-(reflexive_relstr(2293 ^ []))], (2348 ^ _22266) ^ [] : [-(trivial_carrier(2328 ^ []))], (2088 ^ _22266) ^ [_70446, _70448] : [relation_of2(_70446, _70448, _70448), 2091 ^ _22266 : [(2092 ^ _22266) ^ [_70616, _70618] : [rel_str_of(_70448, _70446) = rel_str_of(_70618, _70616), 2095 ^ _22266 : [(2098 ^ _22266) ^ [] : [-(_70446 = _70616)], (2096 ^ _22266) ^ [] : [-(_70448 = _70618)]]]]], (2431 ^ _22266) ^ [] : [-(transitive_relstr(2423 ^ []))], (1010 ^ _22266) ^ [_38150] : [topological_space(_38150), top_str(_38150), 1017 ^ _22266 : [(1018 ^ _22266) ^ [_38379] : [element(_38379, powerset(the_carrier(_38150))), empty(_38379), 1025 ^ _22266 : [(1028 ^ _22266) ^ [] : [-(closed_subset(_38379, _38150))], (1026 ^ _22266) ^ [] : [-(open_subset(_38379, _38150))]]]]], (1669 ^ _22266) ^ [_57546] : [1676 ^ _22266 : [(1679 ^ _22266) ^ [] : [-(directed_subset(cast_as_carrier_subset(_57546), _57546))], (1677 ^ _22266) ^ [] : [empty(cast_as_carrier_subset(_57546))]], with_suprema_relstr(_57546), rel_str(_57546)], (816 ^ _22266) ^ [_33560, _33562] : [in(_33562, _33560), in(_33560, _33562)], (180 ^ _22266) ^ [_24632, _24634] : [-(complete_relstr(_24632)), _24634 = _24632, complete_relstr(_24634)], (284 ^ _22266) ^ [_25950, _25952] : [-(v1_membered(_25950)), _25952 = _25950, v1_membered(_25952)], (2344 ^ _22266) ^ [] : [-(with_infima_relstr(2328 ^ []))], (1867 ^ _22266) ^ [_63571] : [-(closed_subset(cast_as_carrier_subset(_63571), _63571)), topological_space(_63571), top_str(_63571)], (1500 ^ _22266) ^ [_52144, _52146, _52148] : [relation_of2_as_subset(_52144, _52148, _52146), -(element(_52144, powerset(cartesian_product2(_52148, _52146))))], (2013 ^ _22266) ^ [_67995] : [-(strict_rel_str(boole_POSet(_67995)))], (1142 ^ _22266) ^ [_41966] : [topological_space(_41966), top_str(_41966), 1149 ^ _22266 : [(1150 ^ _22266) ^ [_42190] : [element(_42190, powerset(the_carrier(_41966))), nowhere_dense(_42190, _41966), -(boundary_set(_42190, _41966))]]], (1587 ^ _22266) ^ [_54983, _54985] : [1602 ^ _22266 : [(1603 ^ _22266) ^ [] : [empty(the_mapping(_54985, _54983))], (1605 ^ _22266) ^ [] : [-(relation(the_mapping(_54985, _54983)))], (1609 ^ _22266) ^ [] : [-(quasi_total(the_mapping(_54985, _54983), the_carrier(_54983), the_carrier(_54985)))], (1607 ^ _22266) ^ [] : [-(function(the_mapping(_54985, _54983)))]], -(empty_carrier(_54985)), one_sorted_str(_54985), -(empty_carrier(_54983)), net_str(_54983, _54985)], (948 ^ _22266) ^ [_36384] : [rel_str(_36384), 971 ^ _22266 : [(978 ^ _22266) ^ [] : [-(with_suprema_relstr(_36384))], (976 ^ _22266) ^ [] : [-(antisymmetric_relstr(_36384))], (974 ^ _22266) ^ [] : [-(reflexive_relstr(_36384))], (972 ^ _22266) ^ [] : [empty_carrier(_36384)], (980 ^ _22266) ^ [] : [-(upper_bounded_relstr(_36384))]], -(empty_carrier(_36384)), reflexive_relstr(_36384), antisymmetric_relstr(_36384), upper_bounded_relstr(_36384), join_complete_relstr(_36384)], (2248 ^ _22266) ^ [] : [-(reflexive_relstr(2240 ^ []))], (2429 ^ _22266) ^ [] : [-(reflexive_relstr(2423 ^ []))], (2500 ^ _22266) ^ [_83757] : [-(empty(_83757)), 2504 ^ _22266 : [(2507 ^ _22266) ^ [] : [empty(2503 ^ [_83757])], (2509 ^ _22266) ^ [] : [-(finite(2503 ^ [_83757]))], (2505 ^ _22266) ^ [] : [-(element(2503 ^ [_83757], powerset(_83757)))]]], (2208 ^ _22266) ^ [] : [-(rel_str(2206 ^ []))], (1611 ^ _22266) ^ [_55698] : [empty(the_carrier(_55698)), -(empty_carrier(_55698)), one_sorted_str(_55698)], (2342 ^ _22266) ^ [] : [-(with_suprema_relstr(2328 ^ []))], (2880 ^ _22266) ^ [_96304, _96306, _96308] : [in(_96308, _96306), element(_96306, powerset(_96304)), empty(_96304)], (2745 ^ _22266) ^ [_92023, _92025, _92027] : [relation_of2(_92023, _92027, _92025), -(relation_of2_as_subset(_92023, _92027, _92025))], (62 ^ _22266) ^ [_23113, _23115, _23117, _23119, _23121, _23123] : [-(quasi_total(_23121, _23117, _23113)), quasi_total(_23123, _23119, _23115), _23123 = _23121, _23119 = _23117, _23115 = _23113], (2009 ^ _22266) ^ [_67812] : [-(complete_relstr(boole_POSet(_67812)))], (716 ^ _22266) ^ [_32035, _32037, _32039, _32041, _32043, _32045, _32047, _32049] : [-(net_str_of(_32049, _32045, _32041, _32037) = net_str_of(_32047, _32043, _32039, _32035)), _32049 = _32047, _32045 = _32043, _32041 = _32039, _32037 = _32035], (670 ^ _22266) ^ [_31354, _31356] : [_31356 = _31354, -(the_InternalRel(_31356) = the_InternalRel(_31354))], (2254 ^ _22266) ^ [] : [-(complete_relstr(2240 ^ []))], (1659 ^ _22266) ^ [_57269] : [empty(cast_as_carrier_subset(_57269)), -(empty_carrier(_57269)), one_sorted_str(_57269)], (2714 ^ _22266) ^ [_91041] : [2730 ^ _22266 : [(2731 ^ _22266) ^ [] : [-(element(2729 ^ [_91041], powerset(the_carrier(_91041))))], (2733 ^ _22266) ^ [] : [empty(2729 ^ [_91041])], (2737 ^ _22266) ^ [] : [-(lower_relstr_subset(2729 ^ [_91041], _91041))], (2735 ^ _22266) ^ [] : [-(directed_subset(2729 ^ [_91041], _91041))]], -(empty_carrier(_91041)), reflexive_relstr(_91041), transitive_relstr(_91041), rel_str(_91041)], (220 ^ _22266) ^ [_25132, _25134] : [-(relation_empty_yielding(_25132)), _25134 = _25132, relation_empty_yielding(_25134)], (2461 ^ _22266) ^ [] : [-(relation_empty_yielding(2457 ^ []))], (1126 ^ _22266) ^ [_41539] : [rel_str(_41539), 1137 ^ _22266 : [(1140 ^ _22266) ^ [] : [-(bounded_relstr(_41539))], (1138 ^ _22266) ^ [] : [empty_carrier(_41539)]], -(empty_carrier(_41539)), complete_relstr(_41539)], (80 ^ _22266) ^ [_23382, _23384] : [-(connected_relstr(_23382)), _23384 = _23382, connected_relstr(_23384)], (1647 ^ _22266) ^ [_56836] : [-(heyting_relstr(boole_POSet(_56836)))], (562 ^ _22266) ^ [_29657, _29659] : [-(top_str(_29657)), _29659 = _29657, top_str(_29659)], (582 ^ _22266) ^ [_29907, _29909, _29911, _29913] : [-(filtered_subset(_29911, _29907)), filtered_subset(_29913, _29909), _29913 = _29911, _29909 = _29907], (230 ^ _22266) ^ [_25257, _25259] : [-(finite(_25257)), _25259 = _25257, finite(_25259)], (1641 ^ _22266) ^ [_56642] : [-(join_complete_relstr(boole_POSet(_56642)))], (334 ^ _22266) ^ [_26575, _26577, _26579, _26581] : [-(boundary_set(_26579, _26575)), boundary_set(_26581, _26577), _26581 = _26579, _26577 = _26575], (1557 ^ _22266) ^ [] : [-(empty(empty_set))], (1466 ^ _22266) ^ [_51242] : [top_str(_51242), -(one_sorted_str(_51242))], (1625 ^ _22266) ^ [_56122] : [-(strict_rel_str(boole_POSet(_56122)))], (2585 ^ _22266) ^ [] : [-(strict_rel_str(2579 ^ []))], (2259 ^ _22266) ^ [] : [-(relation(2255 ^ []))], (792 ^ _22266) ^ [_33220] : [rel_str(_33220), strict_rel_str(_33220), -(_33220 = rel_str_of(the_carrier(_33220), the_InternalRel(_33220)))], (2443 ^ _22266) ^ [] : [-(upper_bounded_relstr(2423 ^ []))], (2751 ^ _22266) ^ [_92230, _92232] : [-(subset(_92232, _92232))], (2511 ^ _22266) ^ [_84169] : [top_str(_84169), 2515 ^ _22266 : [(2530 ^ _22266) ^ [] : [-(boundary_set(2514 ^ [_84169], _84169))], (2524 ^ _22266) ^ [] : [-(v3_membered(2514 ^ [_84169]))], (2526 ^ _22266) ^ [] : [-(v4_membered(2514 ^ [_84169]))], (2528 ^ _22266) ^ [] : [-(v5_membered(2514 ^ [_84169]))], (2520 ^ _22266) ^ [] : [-(v1_membered(2514 ^ [_84169]))], (2518 ^ _22266) ^ [] : [-(empty(2514 ^ [_84169]))], (2516 ^ _22266) ^ [] : [-(element(2514 ^ [_84169], powerset(the_carrier(_84169))))], (2522 ^ _22266) ^ [] : [-(v2_membered(2514 ^ [_84169]))]]], (2203 ^ _22266) ^ [] : [-(antisymmetric_relstr(2193 ^ []))], (2319 ^ _22266) ^ [] : [-(heyting_relstr(2293 ^ []))], (2295 ^ _22266) ^ [] : [-(rel_str(2293 ^ []))], (2317 ^ _22266) ^ [] : [-(distributive_relstr(2293 ^ []))], (1472 ^ _22266) ^ [] : [true___, -(true___)], (1382 ^ _22266) ^ [] : [true___, -(true___)], (1552 ^ _22266) ^ [_53835] : [-(element(1550 ^ [_53835], _53835))], (2489 ^ _22266) ^ [_83336] : [one_sorted_str(_83336), 2493 ^ _22266 : [(2496 ^ _22266) ^ [] : [empty(2492 ^ [_83336])], (2498 ^ _22266) ^ [] : [-(finite(2492 ^ [_83336]))], (2494 ^ _22266) ^ [] : [-(element(2492 ^ [_83336], powerset(powerset(the_carrier(_83336)))))]]], (2357 ^ _22266) ^ [] : [-(reflexive_relstr(2349 ^ []))], (1494 ^ _22266) ^ [] : [true___, -(true___)], (706 ^ _22266) ^ [_31886, _31888, _31890, _31892] : [-(rel_str_of(_31892, _31888) = rel_str_of(_31890, _31886)), _31892 = _31890, _31888 = _31886], (2351 ^ _22266) ^ [] : [-(rel_str(2349 ^ []))], (2212 ^ _22266) ^ [] : [-(strict_rel_str(2206 ^ []))], (1296 ^ _22266) ^ [_46437] : [-(empty_carrier(_46437)), one_sorted_str(_46437), 1303 ^ _22266 : [(1304 ^ _22266) ^ [_46667] : [-(filter_of_net_str(_46437, _46667) = a_2_1_yellow19(_46437, _46667)), -(empty_carrier(_46667)), net_str(_46667, _46437)]]], (1995 ^ _22266) ^ [_67377] : [-(transitive_relstr(boole_POSet(_67377)))], (2686 ^ _22266) ^ [_90036] : [rel_str(_90036), 2690 ^ _22266 : [(2693 ^ _22266) ^ [] : [-(lower_relstr_subset(2689 ^ [_90036], _90036))], (2695 ^ _22266) ^ [] : [-(upper_relstr_subset(2689 ^ [_90036], _90036))], (2691 ^ _22266) ^ [] : [-(element(2689 ^ [_90036], powerset(the_carrier(_90036))))]]], (2433 ^ _22266) ^ [] : [-(antisymmetric_relstr(2423 ^ []))], (610 ^ _22266) ^ [_30293, _30295, _30297, _30299] : [-(proper_element(_30297, _30293)), proper_element(_30299, _30295), _30299 = _30297, _30295 = _30293], (2420 ^ _22266) ^ [_81116] : [empty(2416 ^ [_81116])], (1218 ^ _22266) ^ [_44114] : [rel_str(_44114), -(bounded_relstr(_44114)), lower_bounded_relstr(_44114), upper_bounded_relstr(_44114)], (348 ^ _22266) ^ [_26768, _26770, _26772, _26774] : [-(nowhere_dense(_26772, _26768)), nowhere_dense(_26774, _26770), _26774 = _26772, _26770 = _26768], (1458 ^ _22266) ^ [_50960] : [-(rel_str(boole_POSet(_50960)))], (2311 ^ _22266) ^ [] : [-(upper_bounded_relstr(2293 ^ []))], (2283 ^ _22266) ^ [_76712] : [rel_str(_76712), 2287 ^ _22266 : [(2290 ^ _22266) ^ [] : [-(directed_subset(2286 ^ [_76712], _76712))], (2292 ^ _22266) ^ [] : [-(filtered_subset(2286 ^ [_76712], _76712))], (2288 ^ _22266) ^ [] : [-(element(2286 ^ [_76712], powerset(the_carrier(_76712))))]]], (260 ^ _22266) ^ [_25632, _25634] : [-(strict_rel_str(_25632)), _25634 = _25632, strict_rel_str(_25634)], (100 ^ _22266) ^ [_23632, _23634] : [-(join_complete_relstr(_23632)), _23634 = _23632, join_complete_relstr(_23634)], (2346 ^ _22266) ^ [] : [-(complete_relstr(2328 ^ []))], (2239 ^ _22266) ^ [] : [-(finite(2235 ^ []))], (2025 ^ _22266) ^ [_68385] : [-(bounded_relstr(boole_POSet(_68385)))], (1388 ^ _22266) ^ [_49006] : [one_sorted_str(_49006), -(element(cast_as_carrier_subset(_49006), powerset(the_carrier(_49006))))], (372 ^ _22266) ^ [_27086, _27088, _27090, _27092] : [-(strict_net_str(_27090, _27086)), strict_net_str(_27092, _27088), _27092 = _27090, _27088 = _27086], (1629 ^ _22266) ^ [_56252] : [-(transitive_relstr(boole_POSet(_56252)))], (1893 ^ _22266) ^ [_64311, _64313, _64315] : [1928 ^ _22266 : [(1935 ^ _22266) ^ [] : [-(strict_net_str(net_of_bool_filter(_64315, _64313, _64311), _64315))], (1933 ^ _22266) ^ [] : [-(transitive_relstr(net_of_bool_filter(_64315, _64313, _64311)))], (1931 ^ _22266) ^ [] : [-(reflexive_relstr(net_of_bool_filter(_64315, _64313, _64311)))], (1929 ^ _22266) ^ [] : [empty_carrier(net_of_bool_filter(_64315, _64313, _64311))], (1937 ^ _22266) ^ [] : [-(directed_relstr(net_of_bool_filter(_64315, _64313, _64311)))]], -(empty_carrier(_64315)), one_sorted_str(_64315), -(empty(_64313)), element(_64313, powerset(the_carrier(_64315))), -(empty(_64311)), filtered_subset(_64311, boole_POSet(_64313)), upper_relstr_subset(_64311, boole_POSet(_64313)), proper_element(_64311, powerset(the_carrier(boole_POSet(_64313)))), element(_64311, powerset(the_carrier(boole_POSet(_64313))))], (2201 ^ _22266) ^ [] : [-(transitive_relstr(2193 ^ []))], (624 ^ _22266) ^ [_30486, _30488, _30490, _30492] : [-(element(_30490, _30486)), element(_30492, _30488), _30492 = _30490, _30488 = _30486], (1989 ^ _22266) ^ [_67182] : [empty_carrier(boole_POSet(_67182))], (1160 ^ _22266) ^ [_42492] : [rel_str(_42492), bounded_relstr(_42492), 1167 ^ _22266 : [(1170 ^ _22266) ^ [] : [-(upper_bounded_relstr(_42492))], (1168 ^ _22266) ^ [] : [-(lower_bounded_relstr(_42492))]]], (2015 ^ _22266) ^ [_68060] : [-(reflexive_relstr(boole_POSet(_68060)))], (110 ^ _22266) ^ [_23757, _23759] : [-(v1_yellow_3(_23757)), _23759 = _23757, v1_yellow_3(_23759)], (2019 ^ _22266) ^ [_68190] : [-(antisymmetric_relstr(boole_POSet(_68190)))], (2309 ^ _22266) ^ [] : [-(lower_bounded_relstr(2293 ^ []))], (1456 ^ _22266) ^ [_50915] : [-(strict_rel_str(boole_POSet(_50915)))], (2250 ^ _22266) ^ [] : [-(transitive_relstr(2240 ^ []))], (1631 ^ _22266) ^ [_56317] : [-(antisymmetric_relstr(boole_POSet(_56317)))], (676 ^ _22266) ^ [_31439, _31441, _31443, _31445] : [-(the_mapping(_31445, _31441) = the_mapping(_31443, _31439)), _31445 = _31443, _31441 = _31439], (1518 ^ _22266) ^ [_52693, _52695] : [1525 ^ _22266 : [(1528 ^ _22266) ^ [] : [-(quasi_total(the_mapping(_52695, _52693), the_carrier(_52693), the_carrier(_52695)))], (1530 ^ _22266) ^ [] : [-(relation_of2_as_subset(the_mapping(_52695, _52693), the_carrier(_52693), the_carrier(_52695)))], (1526 ^ _22266) ^ [] : [-(function(the_mapping(_52695, _52693)))]], one_sorted_str(_52695), net_str(_52693, _52695)], (1803 ^ _22266) ^ [] : [-(relation(empty_set))], (2007 ^ _22266) ^ [_67767] : [-(with_infima_relstr(boole_POSet(_67767)))], (2353 ^ _22266) ^ [] : [empty_carrier(2349 ^ [])], (434 ^ _22266) ^ [_27915, _27917, _27919, _27921] : [-(lower_relstr_subset(_27919, _27915)), lower_relstr_subset(_27921, _27917), _27921 = _27919, _27917 = _27915], (1969 ^ _22266) ^ [_66549] : [-(strict_rel_str(boole_POSet(_66549)))], (2017 ^ _22266) ^ [_68125] : [-(transitive_relstr(boole_POSet(_68125)))], (2340 ^ _22266) ^ [] : [-(antisymmetric_relstr(2328 ^ []))], (140 ^ _22266) ^ [_24132, _24134] : [-(complemented_relstr(_24132)), _24134 = _24132, complemented_relstr(_24134)], (2301 ^ _22266) ^ [] : [-(strict_rel_str(2293 ^ []))], (1639 ^ _22266) ^ [_56577] : [-(up_complete_relstr(boole_POSet(_56577)))], (1108 ^ _22266) ^ [_41016] : [topological_space(_41016), top_str(_41016), 1115 ^ _22266 : [(1116 ^ _22266) ^ [_41239] : [element(_41239, powerset(the_carrier(_41016))), empty(_41239), -(nowhere_dense(_41239, _41016))]]], (1723 ^ _22266) ^ [_59440, _59442] : [1738 ^ _22266 : [(1741 ^ _22266) ^ [] : [-(upper_relstr_subset(filter_of_net_str(_59442, _59440), boole_POSet(cast_as_carrier_subset(_59442))))], (1739 ^ _22266) ^ [] : [empty(filter_of_net_str(_59442, _59440))]], -(empty_carrier(_59442)), one_sorted_str(_59442), -(empty_carrier(_59440)), net_str(_59440, _59442)], (1645 ^ _22266) ^ [_56771] : [-(distributive_relstr(boole_POSet(_56771)))], (2315 ^ _22266) ^ [] : [v1_yellow_3(2293 ^ [])], (1488 ^ _22266) ^ [] : [true___, -(true___)], (2338 ^ _22266) ^ [] : [-(transitive_relstr(2328 ^ []))], (2372 ^ _22266) ^ [] : [-(relation(2368 ^ []))], (2132 ^ _22266) ^ [_72118] : [2148 ^ _22266 : [(2149 ^ _22266) ^ [] : [-(element(2147 ^ [_72118], powerset(the_carrier(_72118))))], (2151 ^ _22266) ^ [] : [empty(2147 ^ [_72118])], (2155 ^ _22266) ^ [] : [-(upper_relstr_subset(2147 ^ [_72118], _72118))], (2153 ^ _22266) ^ [] : [-(filtered_subset(2147 ^ [_72118], _72118))]], -(empty_carrier(_72118)), reflexive_relstr(_72118), transitive_relstr(_72118), rel_str(_72118)], (2581 ^ _22266) ^ [] : [-(rel_str(2579 ^ []))], (1346 ^ _22266) ^ [_48030, _48032] : [-(element(lim_points_of_net(_48032, _48030), powerset(the_carrier(_48032)))), -(empty_carrier(_48032)), topological_space(_48032), top_str(_48032), -(empty_carrier(_48030)), transitive_relstr(_48030), directed_relstr(_48030), net_str(_48030, _48032)], (2234 ^ _22266) ^ [] : [-(join_complete_relstr(2206 ^ []))], (1561 ^ _22266) ^ [] : [-(relation_empty_yielding(empty_set))], (2379 ^ _22266) ^ [_79733] : [2387 ^ _22266 : [(2390 ^ _22266) ^ [] : [-(open_subset(2386 ^ [_79733], _79733))], (2392 ^ _22266) ^ [] : [-(closed_subset(2386 ^ [_79733], _79733))], (2388 ^ _22266) ^ [] : [-(element(2386 ^ [_79733], powerset(the_carrier(_79733))))]], topological_space(_79733), top_str(_79733)], (10 ^ _22266) ^ [_22389, _22391, _22393] : [-(_22393 = _22389), _22393 = _22391, _22391 = _22389], (2359 ^ _22266) ^ [] : [-(transitive_relstr(2349 ^ []))], (1801 ^ _22266) ^ [] : [-(empty(empty_set))], (1478 ^ _22266) ^ [_51547] : [one_sorted_str(_51547), 1481 ^ _22266 : [(1482 ^ _22266) ^ [_51677] : [net_str(_51677, _51547), -(rel_str(_51677))]]], (1649 ^ _22266) ^ [_56901] : [-(complemented_relstr(boole_POSet(_56901)))], (190 ^ _22266) ^ [_24757, _24759] : [-(lower_bounded_relstr(_24757)), _24759 = _24757, lower_bounded_relstr(_24759)], (1637 ^ _22266) ^ [_56512] : [-(bounded_relstr(boole_POSet(_56512)))], (2447 ^ _22266) ^ [_81955] : [-(empty(_81955)), 2451 ^ _22266 : [(2454 ^ _22266) ^ [] : [empty(2450 ^ [_81955])], (2456 ^ _22266) ^ [] : [-(finite(2450 ^ [_81955]))], (2452 ^ _22266) ^ [] : [-(element(2450 ^ [_81955], powerset(_81955)))]]], (2833 ^ _22266) ^ [_94724, _94726] : [element(_94726, _94724), -(empty(_94724)), -(in(_94726, _94724))], (2035 ^ _22266) ^ [_68709] : [-(with_suprema_relstr(boole_POSet(_68709)))], (1651 ^ _22266) ^ [_56966] : [-(boolean_relstr(boole_POSet(_56966)))], (1827 ^ _22266) ^ [_62433, _62435, _62437] : [1858 ^ _22266 : [(1859 ^ _22266) ^ [] : [empty_carrier(net_of_bool_filter(_62437, _62435, _62433))], (1861 ^ _22266) ^ [] : [-(reflexive_relstr(net_of_bool_filter(_62437, _62435, _62433)))], (1865 ^ _22266) ^ [] : [-(strict_net_str(net_of_bool_filter(_62437, _62435, _62433), _62437))], (1863 ^ _22266) ^ [] : [-(transitive_relstr(net_of_bool_filter(_62437, _62435, _62433)))]], -(empty_carrier(_62437)), one_sorted_str(_62437), -(empty(_62435)), element(_62435, powerset(the_carrier(_62437))), -(empty(_62433)), filtered_subset(_62433, boole_POSet(_62435)), upper_relstr_subset(_62433, boole_POSet(_62435)), element(_62433, powerset(the_carrier(boole_POSet(_62435))))], (1196 ^ _22266) ^ [_43534] : [rel_str(_43534), 1211 ^ _22266 : [(1214 ^ _22266) ^ [] : [-(reflexive_relstr(_43534))], (1216 ^ _22266) ^ [] : [-(connected_relstr(_43534))], (1212 ^ _22266) ^ [] : [empty_carrier(_43534)]], -(empty_carrier(_43534)), reflexive_relstr(_43534), trivial_carrier(_43534)], (362 ^ _22266) ^ [_26961, _26963] : [-(antisymmetric_relstr(_26961)), _26963 = _26961, antisymmetric_relstr(_26963)], (2299 ^ _22266) ^ [] : [trivial_carrier(2293 ^ [])], (2468 ^ _22266) ^ [_82666] : [2480 ^ _22266 : [(2481 ^ _22266) ^ [] : [-(element(2479 ^ [_82666], powerset(the_carrier(_82666))))], (2483 ^ _22266) ^ [] : [empty(2479 ^ [_82666])], (2487 ^ _22266) ^ [] : [-(closed_subset(2479 ^ [_82666], _82666))], (2485 ^ _22266) ^ [] : [-(open_subset(2479 ^ [_82666], _82666))]], -(empty_carrier(_82666)), topological_space(_82666), top_str(_82666)], (2425 ^ _22266) ^ [] : [-(rel_str(2423 ^ []))], (2667 ^ _22266) ^ [_89449] : [2679 ^ _22266 : [(2682 ^ _22266) ^ [] : [empty(2678 ^ [_89449])], (2684 ^ _22266) ^ [] : [-(closed_subset(2678 ^ [_89449], _89449))], (2680 ^ _22266) ^ [] : [-(element(2678 ^ [_89449], powerset(the_carrier(_89449))))]], -(empty_carrier(_89449)), topological_space(_89449), top_str(_89449)], (2591 ^ _22266) ^ [_86737] : [2599 ^ _22266 : [(2602 ^ _22266) ^ [] : [empty(2598 ^ [_86737])], (2600 ^ _22266) ^ [] : [-(element(2598 ^ [_86737], powerset(the_carrier(_86737))))]], -(empty_carrier(_86737)), one_sorted_str(_86737)], (2439 ^ _22266) ^ [] : [-(complete_relstr(2423 ^ []))], (846 ^ _22266) ^ [_33934] : [rel_str(_33934), 861 ^ _22266 : [(864 ^ _22266) ^ [] : [-(reflexive_relstr(_33934))], (866 ^ _22266) ^ [] : [-(lower_bounded_relstr(_33934))], (862 ^ _22266) ^ [] : [empty_carrier(_33934)]], -(empty_carrier(_33934)), reflexive_relstr(_33934), join_complete_relstr(_33934)], (90 ^ _22266) ^ [_23507, _23509] : [-(up_complete_relstr(_23507)), _23509 = _23507, up_complete_relstr(_23509)], (2261 ^ _22266) ^ [_75962] : [-(empty(_75962)), 2265 ^ _22266 : [(2268 ^ _22266) ^ [] : [empty(2264 ^ [_75962])], (2266 ^ _22266) ^ [] : [-(element(2264 ^ [_75962], powerset(_75962)))]]], (2244 ^ _22266) ^ [] : [empty_carrier(2240 ^ [])], (1048 ^ _22266) ^ [_39251] : [finite(_39251), 1051 ^ _22266 : [(1052 ^ _22266) ^ [_39383] : [element(_39383, powerset(_39251)), -(finite(_39383))]]], (1418 ^ _22266) ^ [_49852, _49854, _49856] : [1449 ^ _22266 : [(1452 ^ _22266) ^ [] : [-(strict_net_str(net_of_bool_filter(_49856, _49854, _49852), _49856))], (1454 ^ _22266) ^ [] : [-(net_str(net_of_bool_filter(_49856, _49854, _49852), _49856))], (1450 ^ _22266) ^ [] : [empty_carrier(net_of_bool_filter(_49856, _49854, _49852))]], -(empty_carrier(_49856)), one_sorted_str(_49856), -(empty(_49854)), element(_49854, powerset(the_carrier(_49856))), -(empty(_49852)), filtered_subset(_49852, boole_POSet(_49854)), upper_relstr_subset(_49852, boole_POSet(_49854)), element(_49852, powerset(the_carrier(boole_POSet(_49854))))], (1539 ^ _22266) ^ [] : [-(one_sorted_str(1537 ^ []))], (1633 ^ _22266) ^ [_56382] : [-(lower_bounded_relstr(boole_POSet(_56382)))], (420 ^ _22266) ^ [_27722, _27724, _27726, _27728] : [-(directed_subset(_27726, _27722)), directed_subset(_27728, _27724), _27728 = _27726, _27724 = _27722], (2394 ^ _22266) ^ [_80234] : [2406 ^ _22266 : [(2413 ^ _22266) ^ [] : [-(directed_subset(2405 ^ [_80234], _80234))], (2411 ^ _22266) ^ [] : [-(finite(2405 ^ [_80234]))], (2409 ^ _22266) ^ [] : [empty(2405 ^ [_80234])], (2407 ^ _22266) ^ [] : [-(element(2405 ^ [_80234], powerset(the_carrier(_80234))))], (2415 ^ _22266) ^ [] : [-(filtered_subset(2405 ^ [_80234], _80234))]], -(empty_carrier(_80234)), reflexive_relstr(_80234), rel_str(_80234)], (2827 ^ _22266) ^ [_94514, _94516] : [in(_94516, _94514), -(element(_94516, _94514))], (2216 ^ _22266) ^ [] : [-(transitive_relstr(2206 ^ []))], (696 ^ _22266) ^ [_31737, _31739, _31741, _31743] : [-(a_2_1_yellow19(_31743, _31739) = a_2_1_yellow19(_31741, _31737)), _31743 = _31741, _31739 = _31737], (386 ^ _22266) ^ [_27279, _27281, _27283, _27285] : [-(closed_subset(_27283, _27279)), closed_subset(_27285, _27281), _27285 = _27283, _27281 = _27279], (2441 ^ _22266) ^ [] : [-(lower_bounded_relstr(2423 ^ []))], (2336 ^ _22266) ^ [] : [-(reflexive_relstr(2328 ^ []))], (1973 ^ _22266) ^ [_66679] : [-(transitive_relstr(boole_POSet(_66679)))], (270 ^ _22266) ^ [_25757, _25759, _25761, _25763] : [-(open_subset(_25761, _25757)), open_subset(_25763, _25759), _25763 = _25761, _25759 = _25757], (2037 ^ _22266) ^ [_68774] : [-(with_infima_relstr(boole_POSet(_68774)))], (2230 ^ _22266) ^ [] : [-(bounded_relstr(2206 ^ []))]], input).
% 222.53/214.60  ncf('1',plain,[2937 : is_a_convergence_point_of_set(2911 ^ [], 2918 ^ [], 2929 ^ []), 2941 : in(2929 ^ [], lim_points_of_net(2911 ^ [], net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ [])))],start(2933 ^ 0)).
% 222.53/214.60  ncf('1.1',plain,[-(is_a_convergence_point_of_set(2911 ^ [], 2918 ^ [], 2929 ^ [])), is_a_convergence_point_of_set(2911 ^ [], filter_of_net_str(2911 ^ [], net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ [])), 2929 ^ []), 2911 ^ [] = 2911 ^ [], filter_of_net_str(2911 ^ [], net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ [])) = 2918 ^ [], 2929 ^ [] = 2929 ^ []],extension(652 ^ 3,bind([[_30868, _30870, _30872, _30874, _30876, _30878], [2929 ^ [], 2929 ^ [], 2918 ^ [], filter_of_net_str(2911 ^ [], net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ [])), 2911 ^ [], 2911 ^ []]]))).
% 222.53/214.60  ncf('1.1.1',plain,[-(is_a_convergence_point_of_set(2911 ^ [], filter_of_net_str(2911 ^ [], net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ [])), 2929 ^ [])), 2785 : in(2929 ^ [], lim_points_of_net(2911 ^ [], net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ []))), 2785 : element(2929 ^ [], the_carrier(2911 ^ [])), 2781 : -(empty_carrier(net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ []))), 2781 : transitive_relstr(net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ [])), 2781 : directed_relstr(net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ [])), 2781 : net_str(net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ []), 2911 ^ []), 2765 : -(empty_carrier(2911 ^ [])), 2765 : topological_space(2911 ^ []), 2765 : top_str(2911 ^ [])],extension(2753 ^ 4,bind([[_92325, _92668, _93086], [2911 ^ [], net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ []), 2929 ^ []]]))).
% 222.53/214.60  ncf('1.1.1.1',plain,[-(in(2929 ^ [], lim_points_of_net(2911 ^ [], net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ []))))],extension(2935 ^ 11)).
% 222.53/214.60  ncf('1.1.1.2',plain,[-(element(2929 ^ [], the_carrier(2911 ^ [])))],extension(2931 ^ 9)).
% 222.53/214.60  ncf('1.1.1.3',plain,[empty_carrier(net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ [])), -(empty_carrier(2911 ^ [])), one_sorted_str(2911 ^ []), -(empty(cast_as_carrier_subset(2911 ^ []))), element(cast_as_carrier_subset(2911 ^ []), powerset(the_carrier(2911 ^ []))), -(empty(2918 ^ [])), filtered_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))), upper_relstr_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))), proper_element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ []))))), element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ [])))))],extension(1893 ^ 7,bind([[_64311, _64313, _64315], [2918 ^ [], cast_as_carrier_subset(2911 ^ []), 2911 ^ []]]))).
% 222.53/214.60  ncf('1.1.1.3.1',plain,[empty_carrier(2911 ^ [])],extension(2913 ^ 8)).
% 222.53/214.60  ncf('1.1.1.3.2',plain,[-(one_sorted_str(2911 ^ [])), top_str(2911 ^ [])],extension(1466 ^ 8,bind([[_51242], [2911 ^ []]]))).
% 222.53/214.60  ncf('1.1.1.3.2.1',plain,[-(top_str(2911 ^ []))],extension(2917 ^ 9)).
% 222.53/214.60  ncf('1.1.1.3.3',plain,[empty(cast_as_carrier_subset(2911 ^ [])), -(empty_carrier(2911 ^ [])), one_sorted_str(2911 ^ [])],extension(1659 ^ 8,bind([[_57269], [2911 ^ []]]))).
% 222.53/214.60  ncf('1.1.1.3.3.1',plain,[empty_carrier(2911 ^ [])],lemmata('[1, 1, 1].x')).
% 222.53/214.60  ncf('1.1.1.3.3.2',plain,[-(one_sorted_str(2911 ^ []))],lemmata('[1, 1, 1].x')).
% 222.53/214.60  ncf('1.1.1.3.4',plain,[-(element(cast_as_carrier_subset(2911 ^ []), powerset(the_carrier(2911 ^ [])))), one_sorted_str(2911 ^ [])],extension(1388 ^ 8,bind([[_49006], [2911 ^ []]]))).
% 222.53/214.60  ncf('1.1.1.3.4.1',plain,[-(one_sorted_str(2911 ^ []))],lemmata('[1, 1, 1].x')).
% 222.53/214.60  ncf('1.1.1.3.5',plain,[empty(2918 ^ [])],extension(2920 ^ 8)).
% 222.53/214.60  ncf('1.1.1.3.6',plain,[-(filtered_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))))],extension(2922 ^ 8)).
% 222.53/214.60  ncf('1.1.1.3.7',plain,[-(upper_relstr_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))))],extension(2924 ^ 8)).
% 222.53/214.60  ncf('1.1.1.3.8',plain,[-(proper_element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ []))))))],extension(2926 ^ 8)).
% 222.53/214.60  ncf('1.1.1.3.9',plain,[-(element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ []))))))],extension(2928 ^ 8)).
% 222.53/214.60  ncf('1.1.1.4',plain,[-(transitive_relstr(net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ []))), -(empty_carrier(2911 ^ [])), one_sorted_str(2911 ^ []), -(empty(cast_as_carrier_subset(2911 ^ []))), element(cast_as_carrier_subset(2911 ^ []), powerset(the_carrier(2911 ^ []))), -(empty(2918 ^ [])), filtered_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))), upper_relstr_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))), proper_element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ []))))), element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ [])))))],extension(1893 ^ 7,bind([[_64311, _64313, _64315], [2918 ^ [], cast_as_carrier_subset(2911 ^ []), 2911 ^ []]]))).
% 222.53/214.60  ncf('1.1.1.4.1',plain,[empty_carrier(2911 ^ [])],extension(2913 ^ 8)).
% 222.53/214.60  ncf('1.1.1.4.2',plain,[-(one_sorted_str(2911 ^ [])), top_str(2911 ^ [])],extension(1466 ^ 8,bind([[_51242], [2911 ^ []]]))).
% 222.53/214.60  ncf('1.1.1.4.2.1',plain,[-(top_str(2911 ^ []))],extension(2917 ^ 9)).
% 222.53/214.60  ncf('1.1.1.4.3',plain,[empty(cast_as_carrier_subset(2911 ^ [])), -(empty_carrier(2911 ^ [])), one_sorted_str(2911 ^ [])],extension(1659 ^ 8,bind([[_57269], [2911 ^ []]]))).
% 222.53/214.60  ncf('1.1.1.4.3.1',plain,[empty_carrier(2911 ^ [])],lemmata('[1, 1, 1].x')).
% 222.53/214.60  ncf('1.1.1.4.3.2',plain,[-(one_sorted_str(2911 ^ []))],lemmata('[1, 1, 1].x')).
% 222.53/214.60  ncf('1.1.1.4.4',plain,[-(element(cast_as_carrier_subset(2911 ^ []), powerset(the_carrier(2911 ^ [])))), one_sorted_str(2911 ^ [])],extension(1388 ^ 8,bind([[_49006], [2911 ^ []]]))).
% 222.53/214.60  ncf('1.1.1.4.4.1',plain,[-(one_sorted_str(2911 ^ []))],lemmata('[1, 1, 1].x')).
% 222.53/214.60  ncf('1.1.1.4.5',plain,[empty(2918 ^ [])],extension(2920 ^ 8)).
% 222.53/214.60  ncf('1.1.1.4.6',plain,[-(filtered_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))))],extension(2922 ^ 8)).
% 222.53/214.60  ncf('1.1.1.4.7',plain,[-(upper_relstr_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))))],extension(2924 ^ 8)).
% 222.53/214.60  ncf('1.1.1.4.8',plain,[-(proper_element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ []))))))],extension(2926 ^ 8)).
% 222.53/214.60  ncf('1.1.1.4.9',plain,[-(element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ []))))))],extension(2928 ^ 8)).
% 222.53/214.60  ncf('1.1.1.5',plain,[-(directed_relstr(net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ []))), -(empty_carrier(2911 ^ [])), one_sorted_str(2911 ^ []), -(empty(cast_as_carrier_subset(2911 ^ []))), element(cast_as_carrier_subset(2911 ^ []), powerset(the_carrier(2911 ^ []))), -(empty(2918 ^ [])), filtered_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))), upper_relstr_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))), proper_element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ []))))), element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ [])))))],extension(1893 ^ 7,bind([[_64311, _64313, _64315], [2918 ^ [], cast_as_carrier_subset(2911 ^ []), 2911 ^ []]]))).
% 222.53/214.60  ncf('1.1.1.5.1',plain,[empty_carrier(2911 ^ [])],extension(2913 ^ 8)).
% 222.53/214.60  ncf('1.1.1.5.2',plain,[-(one_sorted_str(2911 ^ [])), top_str(2911 ^ [])],extension(1466 ^ 8,bind([[_51242], [2911 ^ []]]))).
% 222.53/214.60  ncf('1.1.1.5.2.1',plain,[-(top_str(2911 ^ []))],extension(2917 ^ 9)).
% 222.53/214.60  ncf('1.1.1.5.3',plain,[empty(cast_as_carrier_subset(2911 ^ [])), -(empty_carrier(2911 ^ [])), one_sorted_str(2911 ^ [])],extension(1659 ^ 8,bind([[_57269], [2911 ^ []]]))).
% 222.53/214.60  ncf('1.1.1.5.3.1',plain,[empty_carrier(2911 ^ [])],lemmata('[1, 1, 1].x')).
% 222.53/214.60  ncf('1.1.1.5.3.2',plain,[-(one_sorted_str(2911 ^ []))],lemmata('[1, 1, 1].x')).
% 222.53/214.60  ncf('1.1.1.5.4',plain,[-(element(cast_as_carrier_subset(2911 ^ []), powerset(the_carrier(2911 ^ [])))), one_sorted_str(2911 ^ [])],extension(1388 ^ 8,bind([[_49006], [2911 ^ []]]))).
% 222.53/214.60  ncf('1.1.1.5.4.1',plain,[-(one_sorted_str(2911 ^ []))],lemmata('[1, 1, 1].x')).
% 222.53/214.60  ncf('1.1.1.5.5',plain,[empty(2918 ^ [])],extension(2920 ^ 8)).
% 222.53/214.60  ncf('1.1.1.5.6',plain,[-(filtered_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))))],extension(2922 ^ 8)).
% 222.53/214.60  ncf('1.1.1.5.7',plain,[-(upper_relstr_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))))],extension(2924 ^ 8)).
% 222.53/214.60  ncf('1.1.1.5.8',plain,[-(proper_element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ []))))))],extension(2926 ^ 8)).
% 222.53/214.60  ncf('1.1.1.5.9',plain,[-(element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ []))))))],extension(2928 ^ 8)).
% 222.53/214.60  ncf('1.1.1.6',plain,[-(net_str(net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ []), 2911 ^ [])), -(empty_carrier(2911 ^ [])), one_sorted_str(2911 ^ []), -(empty(cast_as_carrier_subset(2911 ^ []))), element(cast_as_carrier_subset(2911 ^ []), powerset(the_carrier(2911 ^ []))), -(empty(2918 ^ [])), filtered_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))), upper_relstr_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))), element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ [])))))],extension(1418 ^ 7,bind([[_49852, _49854, _49856], [2918 ^ [], cast_as_carrier_subset(2911 ^ []), 2911 ^ []]]))).
% 222.53/214.60  ncf('1.1.1.6.1',plain,[empty_carrier(2911 ^ [])],extension(2913 ^ 8)).
% 222.53/214.60  ncf('1.1.1.6.2',plain,[-(one_sorted_str(2911 ^ [])), top_str(2911 ^ [])],extension(1466 ^ 8,bind([[_51242], [2911 ^ []]]))).
% 222.53/214.60  ncf('1.1.1.6.2.1',plain,[-(top_str(2911 ^ []))],extension(2917 ^ 9)).
% 222.53/214.60  ncf('1.1.1.6.3',plain,[empty(cast_as_carrier_subset(2911 ^ [])), -(empty_carrier(2911 ^ [])), one_sorted_str(2911 ^ [])],extension(1659 ^ 8,bind([[_57269], [2911 ^ []]]))).
% 222.53/214.60  ncf('1.1.1.6.3.1',plain,[empty_carrier(2911 ^ [])],lemmata('[1, 1, 1].x')).
% 222.53/214.60  ncf('1.1.1.6.3.2',plain,[-(one_sorted_str(2911 ^ []))],lemmata('[1, 1, 1].x')).
% 222.53/214.60  ncf('1.1.1.6.4',plain,[-(element(cast_as_carrier_subset(2911 ^ []), powerset(the_carrier(2911 ^ [])))), one_sorted_str(2911 ^ [])],extension(1388 ^ 8,bind([[_49006], [2911 ^ []]]))).
% 222.53/214.60  ncf('1.1.1.6.4.1',plain,[-(one_sorted_str(2911 ^ []))],lemmata('[1, 1, 1].x')).
% 222.53/214.60  ncf('1.1.1.6.5',plain,[empty(2918 ^ [])],extension(2920 ^ 8)).
% 222.53/214.60  ncf('1.1.1.6.6',plain,[-(filtered_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))))],extension(2922 ^ 8)).
% 222.53/214.60  ncf('1.1.1.6.7',plain,[-(upper_relstr_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))))],extension(2924 ^ 8)).
% 222.53/214.60  ncf('1.1.1.6.8',plain,[-(element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ []))))))],extension(2928 ^ 8)).
% 222.53/214.60  ncf('1.1.1.7',plain,[empty_carrier(2911 ^ [])],extension(2913 ^ 5)).
% 222.53/214.60  ncf('1.1.1.8',plain,[-(topological_space(2911 ^ []))],extension(2915 ^ 5)).
% 222.53/214.60  ncf('1.1.1.9',plain,[-(top_str(2911 ^ []))],extension(2917 ^ 5)).
% 222.53/214.60  ncf('1.1.2',plain,[-(2911 ^ [] = 2911 ^ [])],extension(2 ^ 4,bind([[_22293], [2911 ^ []]]))).
% 222.53/214.60  ncf('1.1.3',plain,[-(filter_of_net_str(2911 ^ [], net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ [])) = 2918 ^ []), 2918 ^ [] = filter_of_net_str(2911 ^ [], net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ []))],extension(4 ^ 4,bind([[_22316, _22318], [filter_of_net_str(2911 ^ [], net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ [])), 2918 ^ []]]))).
% 222.53/214.60  ncf('1.1.3.1',plain,[-(2918 ^ [] = filter_of_net_str(2911 ^ [], net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ []))), 2805 : -(empty(2918 ^ [])), 2805 : filtered_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))), 2805 : upper_relstr_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))), 2805 : proper_element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ []))))), 2805 : element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ []))))), 2805 : -(empty_carrier(2911 ^ [])), 2805 : one_sorted_str(2911 ^ [])],extension(2797 ^ 5,bind([[_93597, _93872], [2911 ^ [], 2918 ^ []]]))).
% 222.53/214.60  ncf('1.1.3.1.1',plain,[empty(2918 ^ [])],extension(2920 ^ 8)).
% 222.53/214.60  ncf('1.1.3.1.2',plain,[-(filtered_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))))],extension(2922 ^ 8)).
% 222.53/214.60  ncf('1.1.3.1.3',plain,[-(upper_relstr_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))))],extension(2924 ^ 8)).
% 222.53/214.60  ncf('1.1.3.1.4',plain,[-(proper_element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ []))))))],extension(2926 ^ 8)).
% 222.53/214.60  ncf('1.1.3.1.5',plain,[-(element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ []))))))],extension(2928 ^ 8)).
% 222.53/214.60  ncf('1.1.3.1.6',plain,[empty_carrier(2911 ^ [])],extension(2913 ^ 6)).
% 222.53/214.60  ncf('1.1.3.1.7',plain,[-(one_sorted_str(2911 ^ [])), top_str(2911 ^ [])],extension(1466 ^ 6,bind([[_51242], [2911 ^ []]]))).
% 222.53/214.60  ncf('1.1.3.1.7.1',plain,[-(top_str(2911 ^ []))],extension(2917 ^ 7)).
% 222.53/214.60  ncf('1.1.4',plain,[-(2929 ^ [] = 2929 ^ [])],extension(2 ^ 4,bind([[_22293], [2929 ^ []]]))).
% 222.53/214.60  ncf('1.2',plain,[-(in(2929 ^ [], lim_points_of_net(2911 ^ [], net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ [])))), 2791 : is_a_convergence_point_of_set(2911 ^ [], filter_of_net_str(2911 ^ [], net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ [])), 2929 ^ []), 2791 : element(2929 ^ [], the_carrier(2911 ^ [])), 2781 : -(empty_carrier(net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ []))), 2781 : transitive_relstr(net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ [])), 2781 : directed_relstr(net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ [])), 2781 : net_str(net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ []), 2911 ^ []), 2765 : -(empty_carrier(2911 ^ [])), 2765 : topological_space(2911 ^ []), 2765 : top_str(2911 ^ [])],extension(2753 ^ 3,bind([[_92325, _92668, _93086], [2911 ^ [], net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ []), 2929 ^ []]]))).
% 222.53/214.60  ncf('1.2.1',plain,[-(is_a_convergence_point_of_set(2911 ^ [], filter_of_net_str(2911 ^ [], net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ [])), 2929 ^ [])), is_a_convergence_point_of_set(2911 ^ [], 2918 ^ [], 2929 ^ []), 2911 ^ [] = 2911 ^ [], 2918 ^ [] = filter_of_net_str(2911 ^ [], net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ [])), 2929 ^ [] = 2929 ^ []],extension(652 ^ 10,bind([[_30868, _30870, _30872, _30874, _30876, _30878], [2929 ^ [], 2929 ^ [], filter_of_net_str(2911 ^ [], net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ [])), 2918 ^ [], 2911 ^ [], 2911 ^ []]]))).
% 222.53/214.60  ncf('1.2.1.1',plain,[-(is_a_convergence_point_of_set(2911 ^ [], 2918 ^ [], 2929 ^ []))],extension(2939 ^ 11)).
% 222.53/214.60  ncf('1.2.1.2',plain,[-(2911 ^ [] = 2911 ^ [])],extension(2 ^ 11,bind([[_22293], [2911 ^ []]]))).
% 222.53/214.60  ncf('1.2.1.3',plain,[-(2918 ^ [] = filter_of_net_str(2911 ^ [], net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ []))), 2805 : -(empty(2918 ^ [])), 2805 : filtered_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))), 2805 : upper_relstr_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))), 2805 : proper_element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ []))))), 2805 : element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ []))))), 2805 : -(empty_carrier(2911 ^ [])), 2805 : one_sorted_str(2911 ^ [])],extension(2797 ^ 11,bind([[_93597, _93872], [2911 ^ [], 2918 ^ []]]))).
% 222.53/214.60  ncf('1.2.1.3.1',plain,[empty(2918 ^ [])],extension(2920 ^ 14)).
% 222.53/214.60  ncf('1.2.1.3.2',plain,[-(filtered_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))))],extension(2922 ^ 14)).
% 222.53/214.60  ncf('1.2.1.3.3',plain,[-(upper_relstr_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))))],extension(2924 ^ 14)).
% 222.53/214.60  ncf('1.2.1.3.4',plain,[-(proper_element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ []))))))],extension(2926 ^ 14)).
% 222.53/214.60  ncf('1.2.1.3.5',plain,[-(element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ []))))))],extension(2928 ^ 14)).
% 222.53/214.60  ncf('1.2.1.3.6',plain,[empty_carrier(2911 ^ [])],extension(2913 ^ 12)).
% 222.53/214.60  ncf('1.2.1.3.7',plain,[-(one_sorted_str(2911 ^ [])), top_str(2911 ^ [])],extension(1466 ^ 12,bind([[_51242], [2911 ^ []]]))).
% 222.53/214.60  ncf('1.2.1.3.7.1',plain,[-(top_str(2911 ^ []))],extension(2917 ^ 13)).
% 222.53/214.60  ncf('1.2.1.4',plain,[-(2929 ^ [] = 2929 ^ [])],extension(2 ^ 11,bind([[_22293], [2929 ^ []]]))).
% 222.53/214.60  ncf('1.2.2',plain,[-(element(2929 ^ [], the_carrier(2911 ^ [])))],extension(2931 ^ 8)).
% 222.53/214.60  ncf('1.2.3',plain,[empty_carrier(net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ [])), -(empty_carrier(2911 ^ [])), one_sorted_str(2911 ^ []), -(empty(cast_as_carrier_subset(2911 ^ []))), element(cast_as_carrier_subset(2911 ^ []), powerset(the_carrier(2911 ^ []))), -(empty(2918 ^ [])), filtered_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))), upper_relstr_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))), proper_element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ []))))), element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ [])))))],extension(1893 ^ 6,bind([[_64311, _64313, _64315], [2918 ^ [], cast_as_carrier_subset(2911 ^ []), 2911 ^ []]]))).
% 222.53/214.60  ncf('1.2.3.1',plain,[empty_carrier(2911 ^ [])],extension(2913 ^ 7)).
% 222.53/214.60  ncf('1.2.3.2',plain,[-(one_sorted_str(2911 ^ [])), top_str(2911 ^ [])],extension(1466 ^ 7,bind([[_51242], [2911 ^ []]]))).
% 222.53/214.60  ncf('1.2.3.2.1',plain,[-(top_str(2911 ^ []))],extension(2917 ^ 8)).
% 222.53/214.60  ncf('1.2.3.3',plain,[empty(cast_as_carrier_subset(2911 ^ [])), -(empty_carrier(2911 ^ [])), one_sorted_str(2911 ^ [])],extension(1659 ^ 7,bind([[_57269], [2911 ^ []]]))).
% 222.53/214.60  ncf('1.2.3.3.1',plain,[empty_carrier(2911 ^ [])],lemmata('[2, 1].x')).
% 222.53/214.60  ncf('1.2.3.3.2',plain,[-(one_sorted_str(2911 ^ []))],lemmata('[2, 1].x')).
% 222.53/214.60  ncf('1.2.3.4',plain,[-(element(cast_as_carrier_subset(2911 ^ []), powerset(the_carrier(2911 ^ [])))), one_sorted_str(2911 ^ [])],extension(1388 ^ 7,bind([[_49006], [2911 ^ []]]))).
% 222.53/214.60  ncf('1.2.3.4.1',plain,[-(one_sorted_str(2911 ^ []))],lemmata('[2, 1].x')).
% 222.53/214.60  ncf('1.2.3.5',plain,[empty(2918 ^ [])],extension(2920 ^ 7)).
% 222.53/214.60  ncf('1.2.3.6',plain,[-(filtered_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))))],extension(2922 ^ 7)).
% 222.53/214.60  ncf('1.2.3.7',plain,[-(upper_relstr_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))))],extension(2924 ^ 7)).
% 222.53/214.60  ncf('1.2.3.8',plain,[-(proper_element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ []))))))],extension(2926 ^ 7)).
% 222.53/214.60  ncf('1.2.3.9',plain,[-(element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ []))))))],extension(2928 ^ 7)).
% 222.53/214.60  ncf('1.2.4',plain,[-(transitive_relstr(net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ []))), -(empty_carrier(2911 ^ [])), one_sorted_str(2911 ^ []), -(empty(cast_as_carrier_subset(2911 ^ []))), element(cast_as_carrier_subset(2911 ^ []), powerset(the_carrier(2911 ^ []))), -(empty(2918 ^ [])), filtered_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))), upper_relstr_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))), proper_element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ []))))), element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ [])))))],extension(1893 ^ 6,bind([[_64311, _64313, _64315], [2918 ^ [], cast_as_carrier_subset(2911 ^ []), 2911 ^ []]]))).
% 222.53/214.60  ncf('1.2.4.1',plain,[empty_carrier(2911 ^ [])],extension(2913 ^ 7)).
% 222.53/214.60  ncf('1.2.4.2',plain,[-(one_sorted_str(2911 ^ [])), top_str(2911 ^ [])],extension(1466 ^ 7,bind([[_51242], [2911 ^ []]]))).
% 222.53/214.60  ncf('1.2.4.2.1',plain,[-(top_str(2911 ^ []))],extension(2917 ^ 8)).
% 222.53/214.60  ncf('1.2.4.3',plain,[empty(cast_as_carrier_subset(2911 ^ [])), -(empty_carrier(2911 ^ [])), one_sorted_str(2911 ^ [])],extension(1659 ^ 7,bind([[_57269], [2911 ^ []]]))).
% 222.53/214.60  ncf('1.2.4.3.1',plain,[empty_carrier(2911 ^ [])],lemmata('[2, 1].x')).
% 222.53/214.60  ncf('1.2.4.3.2',plain,[-(one_sorted_str(2911 ^ []))],lemmata('[2, 1].x')).
% 222.53/214.60  ncf('1.2.4.4',plain,[-(element(cast_as_carrier_subset(2911 ^ []), powerset(the_carrier(2911 ^ [])))), one_sorted_str(2911 ^ [])],extension(1388 ^ 7,bind([[_49006], [2911 ^ []]]))).
% 222.53/214.60  ncf('1.2.4.4.1',plain,[-(one_sorted_str(2911 ^ []))],lemmata('[2, 1].x')).
% 222.53/214.60  ncf('1.2.4.5',plain,[empty(2918 ^ [])],extension(2920 ^ 7)).
% 222.53/214.60  ncf('1.2.4.6',plain,[-(filtered_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))))],extension(2922 ^ 7)).
% 222.53/214.60  ncf('1.2.4.7',plain,[-(upper_relstr_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))))],extension(2924 ^ 7)).
% 222.53/214.60  ncf('1.2.4.8',plain,[-(proper_element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ []))))))],extension(2926 ^ 7)).
% 222.53/214.60  ncf('1.2.4.9',plain,[-(element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ []))))))],extension(2928 ^ 7)).
% 222.53/214.60  ncf('1.2.5',plain,[-(directed_relstr(net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ []))), -(empty_carrier(2911 ^ [])), one_sorted_str(2911 ^ []), -(empty(cast_as_carrier_subset(2911 ^ []))), element(cast_as_carrier_subset(2911 ^ []), powerset(the_carrier(2911 ^ []))), -(empty(2918 ^ [])), filtered_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))), upper_relstr_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))), proper_element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ []))))), element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ [])))))],extension(1893 ^ 6,bind([[_64311, _64313, _64315], [2918 ^ [], cast_as_carrier_subset(2911 ^ []), 2911 ^ []]]))).
% 222.53/214.60  ncf('1.2.5.1',plain,[empty_carrier(2911 ^ [])],extension(2913 ^ 7)).
% 222.53/214.60  ncf('1.2.5.2',plain,[-(one_sorted_str(2911 ^ [])), top_str(2911 ^ [])],extension(1466 ^ 7,bind([[_51242], [2911 ^ []]]))).
% 222.53/214.60  ncf('1.2.5.2.1',plain,[-(top_str(2911 ^ []))],extension(2917 ^ 8)).
% 222.53/214.60  ncf('1.2.5.3',plain,[empty(cast_as_carrier_subset(2911 ^ [])), -(empty_carrier(2911 ^ [])), one_sorted_str(2911 ^ [])],extension(1659 ^ 7,bind([[_57269], [2911 ^ []]]))).
% 222.53/214.60  ncf('1.2.5.3.1',plain,[empty_carrier(2911 ^ [])],lemmata('[2, 1].x')).
% 222.53/214.60  ncf('1.2.5.3.2',plain,[-(one_sorted_str(2911 ^ []))],lemmata('[2, 1].x')).
% 222.53/214.60  ncf('1.2.5.4',plain,[-(element(cast_as_carrier_subset(2911 ^ []), powerset(the_carrier(2911 ^ [])))), one_sorted_str(2911 ^ [])],extension(1388 ^ 7,bind([[_49006], [2911 ^ []]]))).
% 222.53/214.60  ncf('1.2.5.4.1',plain,[-(one_sorted_str(2911 ^ []))],lemmata('[2, 1].x')).
% 222.53/214.60  ncf('1.2.5.5',plain,[empty(2918 ^ [])],extension(2920 ^ 7)).
% 222.53/214.60  ncf('1.2.5.6',plain,[-(filtered_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))))],extension(2922 ^ 7)).
% 222.53/214.60  ncf('1.2.5.7',plain,[-(upper_relstr_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))))],extension(2924 ^ 7)).
% 222.53/214.60  ncf('1.2.5.8',plain,[-(proper_element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ []))))))],extension(2926 ^ 7)).
% 222.53/214.60  ncf('1.2.5.9',plain,[-(element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ []))))))],extension(2928 ^ 7)).
% 222.53/214.60  ncf('1.2.6',plain,[-(net_str(net_of_bool_filter(2911 ^ [], cast_as_carrier_subset(2911 ^ []), 2918 ^ []), 2911 ^ [])), -(empty_carrier(2911 ^ [])), one_sorted_str(2911 ^ []), -(empty(cast_as_carrier_subset(2911 ^ []))), element(cast_as_carrier_subset(2911 ^ []), powerset(the_carrier(2911 ^ []))), -(empty(2918 ^ [])), filtered_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))), upper_relstr_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))), element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ [])))))],extension(1418 ^ 6,bind([[_49852, _49854, _49856], [2918 ^ [], cast_as_carrier_subset(2911 ^ []), 2911 ^ []]]))).
% 222.53/214.60  ncf('1.2.6.1',plain,[empty_carrier(2911 ^ [])],extension(2913 ^ 7)).
% 222.53/214.60  ncf('1.2.6.2',plain,[-(one_sorted_str(2911 ^ [])), top_str(2911 ^ [])],extension(1466 ^ 7,bind([[_51242], [2911 ^ []]]))).
% 222.53/214.60  ncf('1.2.6.2.1',plain,[-(top_str(2911 ^ []))],extension(2917 ^ 8)).
% 222.53/214.60  ncf('1.2.6.3',plain,[empty(cast_as_carrier_subset(2911 ^ [])), -(empty_carrier(2911 ^ [])), one_sorted_str(2911 ^ [])],extension(1659 ^ 7,bind([[_57269], [2911 ^ []]]))).
% 222.53/214.60  ncf('1.2.6.3.1',plain,[empty_carrier(2911 ^ [])],lemmata('[2, 1].x')).
% 222.53/214.60  ncf('1.2.6.3.2',plain,[-(one_sorted_str(2911 ^ []))],lemmata('[2, 1].x')).
% 222.53/214.60  ncf('1.2.6.4',plain,[-(element(cast_as_carrier_subset(2911 ^ []), powerset(the_carrier(2911 ^ [])))), one_sorted_str(2911 ^ [])],extension(1388 ^ 7,bind([[_49006], [2911 ^ []]]))).
% 222.53/214.60  ncf('1.2.6.4.1',plain,[-(one_sorted_str(2911 ^ []))],lemmata('[2, 1].x')).
% 222.53/214.60  ncf('1.2.6.5',plain,[empty(2918 ^ [])],extension(2920 ^ 7)).
% 222.53/214.60  ncf('1.2.6.6',plain,[-(filtered_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))))],extension(2922 ^ 7)).
% 222.53/214.60  ncf('1.2.6.7',plain,[-(upper_relstr_subset(2918 ^ [], boole_POSet(cast_as_carrier_subset(2911 ^ []))))],extension(2924 ^ 7)).
% 222.53/214.60  ncf('1.2.6.8',plain,[-(element(2918 ^ [], powerset(the_carrier(boole_POSet(cast_as_carrier_subset(2911 ^ []))))))],extension(2928 ^ 7)).
% 222.53/214.60  ncf('1.2.7',plain,[empty_carrier(2911 ^ [])],extension(2913 ^ 4)).
% 222.53/214.60  ncf('1.2.8',plain,[-(topological_space(2911 ^ []))],extension(2915 ^ 4)).
% 222.53/214.60  ncf('1.2.9',plain,[-(top_str(2911 ^ []))],extension(2917 ^ 4)).
% 222.53/214.60  %-----------------------------------------------------
% 222.53/214.60  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------