%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU399+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n026.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 12:03:24 EDT 2023

% Result   : Theorem 99.45s 96.65s
% Output   : Proof 99.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU399+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May 18 13:46:20 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 99.45/96.65  
% 99.45/96.65  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 99.45/96.65  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 99.45/96.65  %-----------------------------------------------------
% 99.45/96.65  ncf(matrix, plain, [(1568 ^ _334672) ^ [] : [-(top_str(1560 ^ []))], (1574 ^ _334672) ^ [] : [-(directed_relstr(1561 ^ []))], (1564 ^ _334672) ^ [] : [empty_carrier(1560 ^ [])], (1576 ^ _334672) ^ [] : [-(net_str(1561 ^ [], 1560 ^ []))], (1570 ^ _334672) ^ [] : [empty_carrier(1561 ^ [])], (1572 ^ _334672) ^ [] : [-(transitive_relstr(1561 ^ []))], (1580 ^ _334672) ^ [_335341] : [1605 ^ _334672 : [(1612 ^ _334672) ^ [] : [-(element(1610 ^ [_335341], the_carrier(1561 ^ [])))], (1618 ^ _334672) ^ [] : [-(1607 ^ [_335341] = relation_rng_as_subset(the_carrier(subnetstr_of_element(1560 ^ [], 1561 ^ [], 1610 ^ [_335341])), the_carrier(1560 ^ []), the_mapping(1560 ^ [], subnetstr_of_element(1560 ^ [], 1561 ^ [], 1610 ^ [_335341]))))], (1620 ^ _334672) ^ [] : [in(1578 ^ [_335341], _335341)], (1614 ^ _334672) ^ [] : [-(1577 ^ [] = topstr_closure(1560 ^ [], 1607 ^ [_335341]))], (1606 ^ _334672) ^ [] : [-(in(1578 ^ [_335341], the_carrier(1561 ^ [])))], (1609 ^ _334672) ^ [] : [-(netstr_induced_subset(1607 ^ [_335341], 1560 ^ [], 1561 ^ []))], (1616 ^ _334672) ^ [] : [-(1578 ^ [_335341] = 1610 ^ [_335341])]], 1581 ^ _334672 : [(1584 ^ _334672) ^ [] : [in(1578 ^ [_335341], the_carrier(1561 ^ [])), 1587 ^ _334672 : [(1588 ^ _334672) ^ [_335733] : [netstr_induced_subset(_335733, 1560 ^ [], 1561 ^ []), 1591 ^ _334672 : [(1592 ^ _334672) ^ [_335911] : [element(_335911, the_carrier(1561 ^ [])), 1577 ^ [] = topstr_closure(1560 ^ [], _335733), 1578 ^ [_335341] = _335911, _335733 = relation_rng_as_subset(the_carrier(subnetstr_of_element(1560 ^ [], 1561 ^ [], _335911)), the_carrier(1560 ^ []), the_mapping(1560 ^ [], subnetstr_of_element(1560 ^ [], 1561 ^ [], _335911)))]]]]], (1582 ^ _334672) ^ [] : [-(in(1578 ^ [_335341], _335341))]]], (1566 ^ _334672) ^ [] : [-(topological_space(1560 ^ []))], !, (921 ^ _281221) ^ [_311781] : [topological_space(_311781), top_str(_311781), 928 ^ _281221 : [(929 ^ _281221) ^ [_312004] : [element(_312004, powerset(the_carrier(_311781))), empty(_312004), -(nowhere_dense(_312004, _311781))]]], (442 ^ _281221) ^ [_295658, _295660, _295662, _295664] : [-(topstr_closure(_295664, _295660) = topstr_closure(_295662, _295658)), _295664 = _295662, _295660 = _295658], (236 ^ _281221) ^ [_288708, _288710, _288712, _288714, _288716, _288718] : [-(quasi_total(_288716, _288712, _288708)), quasi_total(_288718, _288714, _288710), _288718 = _288716, _288714 = _288712, _288710 = _288708], (729 ^ _281221) ^ [_305456] : [empty(725 ^ [_305456])], (1233 ^ _281221) ^ [_320985, _320987] : [1257 ^ _281221 : [(1258 ^ _281221) ^ [] : [-(subnet(1256 ^ [_320985, _320987], _320987, _320985))], (1262 ^ _281221) ^ [] : [-(transitive_relstr(1256 ^ [_320985, _320987]))], (1266 ^ _281221) ^ [] : [-(directed_relstr(1256 ^ [_320985, _320987]))], (1264 ^ _281221) ^ [] : [-(strict_net_str(1256 ^ [_320985, _320987], _320987))], (1260 ^ _281221) ^ [] : [empty_carrier(1256 ^ [_320985, _320987])]], -(empty_carrier(_320987)), one_sorted_str(_320987), -(empty_carrier(_320985)), transitive_relstr(_320985), directed_relstr(_320985), net_str(_320985, _320987)], (806 ^ _281221) ^ [_308086] : [rel_str(_308086), -(relation_of2_as_subset(the_InternalRel(_308086), the_carrier(_308086), the_carrier(_308086)))], (574 ^ _281221) ^ [_300486, _300488] : [-(finite(cartesian_product2(_300488, _300486))), finite(_300488), finite(_300486)], (584 ^ _281221) ^ [_300771] : [-(empty(_300771)), 588 ^ _281221 : [(593 ^ _281221) ^ [] : [-(finite(587 ^ [_300771]))], (591 ^ _281221) ^ [] : [empty(587 ^ [_300771])], (589 ^ _281221) ^ [] : [-(element(587 ^ [_300771], powerset(_300771)))]]], (1426 ^ _281221) ^ [] : [true___, -(true___)], (1075 ^ _281221) ^ [] : [true___, -(true___)], (733 ^ _281221) ^ [_305605] : [one_sorted_str(_305605), 737 ^ _281221 : [(742 ^ _281221) ^ [] : [-(finite(736 ^ [_305605]))], (740 ^ _281221) ^ [] : [empty(736 ^ [_305605])], (738 ^ _281221) ^ [] : [-(element(736 ^ [_305605], powerset(powerset(the_carrier(_305605)))))]]], (662 ^ _281221) ^ [_303298] : [topological_space(_303298), top_str(_303298), 669 ^ _281221 : [(670 ^ _281221) ^ [_303534] : [element(_303534, powerset(the_carrier(_303298))), 681 ^ _281221 : [(684 ^ _281221) ^ [] : [-(nowhere_dense(_303534, _303298))], (682 ^ _281221) ^ [] : [-(boundary_set(_303534, _303298))]], closed_subset(_303534, _303298), boundary_set(_303534, _303298)]]], (2 ^ _281221) ^ [_281345] : [-(_281345 = _281345)], (108 ^ _281221) ^ [_284655, _284657, _284659, _284661] : [-(nowhere_dense(_284659, _284655)), nowhere_dense(_284661, _284657), _284661 = _284659, _284657 = _284655], (174 ^ _281221) ^ [_286742, _286744, _286746, _286748] : [-(strict_net_str(_286746, _286742)), strict_net_str(_286748, _286744), _286748 = _286746, _286744 = _286742], (1160 ^ _281221) ^ [_318815] : [one_sorted_str(_318815), 1164 ^ _281221 : [(1167 ^ _281221) ^ [] : [-(strict_net_str(1163 ^ [_318815], _318815))], (1165 ^ _281221) ^ [] : [-(net_str(1163 ^ [_318815], _318815))]]], (496 ^ _281221) ^ [_297611] : [top_str(_297611), 500 ^ _281221 : [(505 ^ _281221) ^ [] : [-(v1_membered(499 ^ [_297611]))], (511 ^ _281221) ^ [] : [-(v4_membered(499 ^ [_297611]))], (501 ^ _281221) ^ [] : [-(element(499 ^ [_297611], powerset(the_carrier(_297611))))], (513 ^ _281221) ^ [] : [-(v5_membered(499 ^ [_297611]))], (507 ^ _281221) ^ [] : [-(v2_membered(499 ^ [_297611]))], (509 ^ _281221) ^ [] : [-(v3_membered(499 ^ [_297611]))], (515 ^ _281221) ^ [] : [-(boundary_set(499 ^ [_297611], _297611))], (503 ^ _281221) ^ [] : [-(empty(499 ^ [_297611]))]]], (731 ^ _281221) ^ [_305504] : [-(finite(725 ^ [_305504]))], (887 ^ _281221) ^ [_310739] : [topological_space(_310739), top_str(_310739), 894 ^ _281221 : [(895 ^ _281221) ^ [_310968] : [element(_310968, powerset(the_carrier(_310739))), empty(_310968), 902 ^ _281221 : [(905 ^ _281221) ^ [] : [-(closed_subset(_310968, _310739))], (903 ^ _281221) ^ [] : [-(open_subset(_310968, _310739))]]]]], (1045 ^ _281221) ^ [_315528, _315530, _315532] : [1064 ^ _281221 : [(1067 ^ _281221) ^ [] : [-(net_str(netstr_restr_to_element(_315532, _315530, _315528), _315532))], (1065 ^ _281221) ^ [] : [-(strict_net_str(netstr_restr_to_element(_315532, _315530, _315528), _315532))]], -(empty_carrier(_315532)), one_sorted_str(_315532), -(empty_carrier(_315530)), net_str(_315530, _315532), element(_315528, the_carrier(_315530))], (1033 ^ _281221) ^ [] : [true___, -(true___)], (686 ^ _281221) ^ [_304000] : [topological_space(_304000), top_str(_304000), 693 ^ _281221 : [(694 ^ _281221) ^ [_304278] : [element(_304278, powerset(the_carrier(_304000))), 705 ^ _281221 : [(712 ^ _281221) ^ [] : [-(v1_membered(_304278))], (724 ^ _281221) ^ [] : [-(nowhere_dense(_304278, _304000))], (708 ^ _281221) ^ [] : [-(open_subset(_304278, _304000))], (706 ^ _281221) ^ [] : [-(empty(_304278))], (716 ^ _281221) ^ [] : [-(v3_membered(_304278))], (722 ^ _281221) ^ [] : [-(boundary_set(_304278, _304000))], (710 ^ _281221) ^ [] : [-(closed_subset(_304278, _304000))], (720 ^ _281221) ^ [] : [-(v5_membered(_304278))], (714 ^ _281221) ^ [] : [-(v2_membered(_304278))], (718 ^ _281221) ^ [] : [-(v4_membered(_304278))]], open_subset(_304278, _304000), nowhere_dense(_304278, _304000)]]], (136 ^ _281221) ^ [_285515, _285517] : [-(empty(_285515)), _285517 = _285515, empty(_285517)], (1021 ^ _281221) ^ [_314882, _314884, _314886] : [relation_of2_as_subset(_314882, _314886, _314884), -(relation_of2(_314882, _314886, _314884))], (945 ^ _281221) ^ [_312584, _312586, _312588, _312590] : [968 ^ _281221 : [(971 ^ _281221) ^ [] : [-(strict_net_str(net_str_of(_312590, _312588, _312586, _312584), _312590))], (969 ^ _281221) ^ [] : [empty_carrier(net_str_of(_312590, _312588, _312586, _312584))]], one_sorted_str(_312590), -(empty(_312588)), relation_of2(_312586, _312588, _312588), function(_312584), quasi_total(_312584, _312588, the_carrier(_312590)), relation_of2(_312584, _312588, the_carrier(_312590))], (776 ^ _281221) ^ [_307262, _307264, _307266, _307268] : [795 ^ _281221 : [(798 ^ _281221) ^ [] : [-(net_str(net_str_of(_307268, _307266, _307264, _307262), _307268))], (796 ^ _281221) ^ [] : [-(strict_net_str(net_str_of(_307268, _307266, _307264, _307262), _307268))]], one_sorted_str(_307268), relation_of2(_307264, _307266, _307266), function(_307262), quasi_total(_307262, _307266, the_carrier(_307268)), relation_of2(_307262, _307266, the_carrier(_307268))], (855 ^ _281221) ^ [_309734] : [863 ^ _281221 : [(866 ^ _281221) ^ [] : [-(closed_subset(862 ^ [_309734], _309734))], (864 ^ _281221) ^ [] : [-(element(862 ^ [_309734], powerset(the_carrier(_309734))))]], topological_space(_309734), top_str(_309734)], (10 ^ _281221) ^ [_281656, _281658, _281660] : [-(_281660 = _281656), _281660 = _281658, _281658 = _281656], (974 ^ _281221) ^ [] : [-(empty(972 ^ []))], (452 ^ _281221) ^ [_296045, _296047, _296049, _296051, _296053, _296055] : [-(relation_rng_as_subset(_296055, _296051, _296047) = relation_rng_as_subset(_296053, _296049, _296045)), _296055 = _296053, _296051 = _296049, _296047 = _296045], (50 ^ _281221) ^ [_282854, _282856] : [-(v4_membered(_282854)), _282856 = _282854, v4_membered(_282856)], (188 ^ _281221) ^ [_287214, _287216, _287218, _287220, _287222, _287224] : [-(subnet(_287222, _287218, _287214)), subnet(_287224, _287220, _287216), _287224 = _287222, _287220 = _287218, _287216 = _287214], (1334 ^ _281221) ^ [_324041, _324043, _324045] : [relation_of2(_324041, _324045, _324043), -(element(relation_rng_as_subset(_324045, _324043, _324041), powerset(_324043)))], (1292 ^ _281221) ^ [_322768, _322770] : [in(_322770, _322768), in(_322768, _322770)], (744 ^ _281221) ^ [_306068, _306070, _306072, _306074] : [763 ^ _281221 : [(764 ^ _281221) ^ [_306696, _306698, _306700, _306702] : [net_str_of(_306074, _306072, _306070, _306068) = net_str_of(_306702, _306700, _306698, _306696), 767 ^ _281221 : [(770 ^ _281221) ^ [] : [-(_306072 = _306700)], (772 ^ _281221) ^ [] : [-(_306070 = _306698)], (774 ^ _281221) ^ [] : [-(_306068 = _306696)], (768 ^ _281221) ^ [] : [-(_306074 = _306702)]]]], one_sorted_str(_306074), relation_of2(_306070, _306072, _306072), function(_306068), quasi_total(_306068, _306072, the_carrier(_306074)), relation_of2(_306068, _306072, the_carrier(_306074))], (978 ^ _281221) ^ [_313535] : [empty(_313535), -(relation(_313535))], (1093 ^ _281221) ^ [_316879, _316881] : [1116 ^ _281221 : [(1117 ^ _281221) ^ [_317475] : [subnet(_317475, _316881, _316879), 1120 ^ _281221 : [(1123 ^ _281221) ^ [] : [-(transitive_relstr(_317475))], (1125 ^ _281221) ^ [] : [-(directed_relstr(_317475))], (1127 ^ _281221) ^ [] : [-(net_str(_317475, _316881))], (1121 ^ _281221) ^ [] : [empty_carrier(_317475)]]]], -(empty_carrier(_316881)), one_sorted_str(_316881), -(empty_carrier(_316879)), transitive_relstr(_316879), directed_relstr(_316879), net_str(_316879, _316881)], (1404 ^ _281221) ^ [_326109, _326111] : [1419 ^ _281221 : [(1420 ^ _281221) ^ [_326518] : [netstr_induced_subset(_326518, _326111, _326109), -(element(_326518, powerset(the_carrier(_326111))))]], -(empty_carrier(_326111)), one_sorted_str(_326111), -(empty_carrier(_326109)), net_str(_326109, _326111)], (1027 ^ _281221) ^ [_315054, _315056, _315058] : [relation_of2(_315054, _315058, _315056), -(relation_of2_as_subset(_315054, _315058, _315056))], (1382 ^ _281221) ^ [_325459] : [top_str(_325459), -(one_sorted_str(_325459))], (4 ^ _281221) ^ [_281452, _281454] : [_281454 = _281452, -(_281452 = _281454)], (623 ^ _281221) ^ [_302102] : [635 ^ _281221 : [(638 ^ _281221) ^ [] : [empty(634 ^ [_302102])], (640 ^ _281221) ^ [] : [-(open_subset(634 ^ [_302102], _302102))], (642 ^ _281221) ^ [] : [-(closed_subset(634 ^ [_302102], _302102))], (636 ^ _281221) ^ [] : [-(element(634 ^ [_302102], powerset(the_carrier(_302102))))]], -(empty_carrier(_302102)), topological_space(_302102), top_str(_302102)], (868 ^ _281221) ^ [_310152] : [880 ^ _281221 : [(885 ^ _281221) ^ [] : [-(closed_subset(879 ^ [_310152], _310152))], (883 ^ _281221) ^ [] : [empty(879 ^ [_310152])], (881 ^ _281221) ^ [] : [-(element(879 ^ [_310152], powerset(the_carrier(_310152))))]], -(empty_carrier(_310152)), topological_space(_310152), top_str(_310152)], (482 ^ _281221) ^ [_297118, _297120, _297122, _297124, _297126, _297128] : [-(subnetstr_of_element(_297128, _297124, _297120) = subnetstr_of_element(_297126, _297122, _297118)), _297128 = _297126, _297124 = _297122, _297120 = _297118], (1146 ^ _281221) ^ [_318431, _318433] : [-(closed_subset(topstr_closure(_318433, _318431), _318433)), topological_space(_318433), top_str(_318433), element(_318431, powerset(the_carrier(_318433)))], (1169 ^ _281221) ^ [_319166, _319168, _319170] : [1192 ^ _281221 : [(1195 ^ _281221) ^ [] : [-(strict_net_str(netstr_restr_to_element(_319170, _319168, _319166), _319170))], (1193 ^ _281221) ^ [] : [empty_carrier(netstr_restr_to_element(_319170, _319168, _319166))]], -(empty_carrier(_319170)), one_sorted_str(_319170), -(empty_carrier(_319168)), directed_relstr(_319168), net_str(_319168, _319170), element(_319166, the_carrier(_319168))], (1129 ^ _281221) ^ [_317896] : [empty(powerset(_317896))], (436 ^ _281221) ^ [_295412, _295414] : [_295414 = _295412, -(powerset(_295414) = powerset(_295412))], (1197 ^ _281221) ^ [_319955, _319957, _319959] : [1224 ^ _281221 : [(1227 ^ _281221) ^ [] : [-(transitive_relstr(netstr_restr_to_element(_319959, _319957, _319955)))], (1229 ^ _281221) ^ [] : [-(strict_net_str(netstr_restr_to_element(_319959, _319957, _319955), _319959))], (1231 ^ _281221) ^ [] : [-(directed_relstr(netstr_restr_to_element(_319959, _319957, _319955)))], (1225 ^ _281221) ^ [] : [empty_carrier(netstr_restr_to_element(_319959, _319957, _319955))]], -(empty_carrier(_319959)), one_sorted_str(_319959), -(empty_carrier(_319957)), transitive_relstr(_319957), directed_relstr(_319957), net_str(_319957, _319959), element(_319955, the_carrier(_319957))], (302 ^ _281221) ^ [_290755, _290757] : [-(transitive_relstr(_290755)), _290757 = _290755, transitive_relstr(_290757)], (1134 ^ _281221) ^ [] : [empty_carrier(1130 ^ [])], (70 ^ _281221) ^ [_283444, _283446] : [-(finite(_283444)), _283446 = _283444, finite(_283446)], (1298 ^ _281221) ^ [_322993, _322995, _322997] : [relation_of2(_322993, _322997, _322995), -(relation_rng_as_subset(_322997, _322995, _322993) = relation_rng(_322993))], (939 ^ _281221) ^ [_312332, _312334, _312336] : [element(_312332, powerset(cartesian_product2(_312336, _312334))), -(relation(_312332))], (406 ^ _281221) ^ [_294347, _294349, _294351, _294353] : [-(cartesian_product2(_294353, _294349) = cartesian_product2(_294351, _294347)), _294353 = _294351, _294349 = _294347], (206 ^ _281221) ^ [_287767, _287769] : [-(rel_str(_287767)), _287769 = _287767, rel_str(_287769)], (989 ^ _281221) ^ [_313871] : [empty(relation_rng(_313871)), -(empty(_313871)), relation(_313871)], (551 ^ _281221) ^ [] : [-(finite(547 ^ []))], (976 ^ _281221) ^ [] : [-(relation(972 ^ []))], (842 ^ _281221) ^ [_309313] : [850 ^ _281221 : [(853 ^ _281221) ^ [] : [empty(849 ^ [_309313])], (851 ^ _281221) ^ [] : [-(element(849 ^ [_309313], powerset(the_carrier(_309313))))]], -(empty_carrier(_309313)), one_sorted_str(_309313)], (272 ^ _281221) ^ [_289870, _289872] : [-(topological_space(_289870)), _289872 = _289870, topological_space(_289872)], (987 ^ _281221) ^ [] : [-(relation(983 ^ []))], (1007 ^ _281221) ^ [_314427, _314429] : [one_sorted_str(_314429), net_str(_314427, _314429), strict_net_str(_314427, _314429), -(_314427 = net_str_of(_314429, the_carrier(_314427), the_InternalRel(_314427), the_mapping(_314429, _314427)))], (146 ^ _281221) ^ [_285810, _285812] : [-(relation(_285810)), _285812 = _285810, relation(_285812)], (608 ^ _281221) ^ [_301601] : [616 ^ _281221 : [(621 ^ _281221) ^ [] : [-(closed_subset(615 ^ [_301601], _301601))], (619 ^ _281221) ^ [] : [-(open_subset(615 ^ [_301601], _301601))], (617 ^ _281221) ^ [] : [-(element(615 ^ [_301601], powerset(the_carrier(_301601))))]], topological_space(_301601), top_str(_301601)], (1446 ^ _281221) ^ [_327348, _327350, _327352] : [-(empty_carrier(_327352)), topological_space(_327352), top_str(_327352), -(empty_carrier(_327350)), transitive_relstr(_327350), directed_relstr(_327350), net_str(_327350, _327352), 1473 ^ _281221 : [(1474 ^ _281221) ^ [_328292] : [1478 ^ _281221 : [(1491 ^ _281221) ^ [] : [-(1480 ^ [_327348, _327350, _327352, _328292] = relation_rng_as_subset(the_carrier(subnetstr_of_element(_327352, _327350, 1483 ^ [_327348, _327350, _327352, _328292])), the_carrier(_327352), the_mapping(_327352, subnetstr_of_element(_327352, _327350, 1483 ^ [_327348, _327350, _327352, _328292]))))], (1482 ^ _281221) ^ [] : [-(netstr_induced_subset(1480 ^ [_327348, _327350, _327352, _328292], _327352, _327350))], (1507 ^ _281221) ^ [] : [1476 ^ [_327348, _327350, _327352, _328292] = 1477 ^ [_327348, _327350, _327352, _328292]], (1501 ^ _281221) ^ [] : [-(_328292 = topstr_closure(_327352, 1494 ^ [_327348, _327350, _327352, _328292]))], (1489 ^ _281221) ^ [] : [-(1476 ^ [_327348, _327350, _327352, _328292] = 1483 ^ [_327348, _327350, _327352, _328292])], (1485 ^ _281221) ^ [] : [-(element(1483 ^ [_327348, _327350, _327352, _328292], the_carrier(_327350)))], (1496 ^ _281221) ^ [] : [-(netstr_induced_subset(1494 ^ [_327348, _327350, _327352, _328292], _327352, _327350))], (1505 ^ _281221) ^ [] : [-(1494 ^ [_327348, _327350, _327352, _328292] = relation_rng_as_subset(the_carrier(subnetstr_of_element(_327352, _327350, 1497 ^ [_327348, _327350, _327352, _328292])), the_carrier(_327352), the_mapping(_327352, subnetstr_of_element(_327352, _327350, 1497 ^ [_327348, _327350, _327352, _328292]))))], (1493 ^ _281221) ^ [] : [-(1475 ^ [_327348, _327350, _327352, _328292] = 1477 ^ [_327348, _327350, _327352, _328292])], (1503 ^ _281221) ^ [] : [-(1477 ^ [_327348, _327350, _327352, _328292] = 1497 ^ [_327348, _327350, _327352, _328292])], (1499 ^ _281221) ^ [] : [-(element(1497 ^ [_327348, _327350, _327352, _328292], the_carrier(_327350)))], (1487 ^ _281221) ^ [] : [-(_328292 = topstr_closure(_327352, 1480 ^ [_327348, _327350, _327352, _328292]))], (1479 ^ _281221) ^ [] : [-(1475 ^ [_327348, _327350, _327352, _328292] = 1476 ^ [_327348, _327350, _327352, _328292])]], 1509 ^ _281221 : [(1531 ^ _281221) ^ [_332452] : [-(in(_332452, 1508 ^ [_327348, _327350, _327352, _328292])), 1532 ^ _281221 : [(1533 ^ _281221) ^ [_332636] : [in(_332636, the_carrier(_327350)), _332636 = _332452, 1540 ^ _281221 : [(1541 ^ _281221) ^ [_332952] : [netstr_induced_subset(_332952, _327352, _327350), 1544 ^ _281221 : [(1545 ^ _281221) ^ [_333159] : [element(_333159, the_carrier(_327350)), _328292 = topstr_closure(_327352, _332952), _332452 = _333159, _332952 = relation_rng_as_subset(the_carrier(subnetstr_of_element(_327352, _327350, _333159)), the_carrier(_327352), the_mapping(_327352, subnetstr_of_element(_327352, _327350, _333159)))]]]]]]], (1510 ^ _281221) ^ [_331209] : [in(_331209, 1508 ^ [_327348, _327350, _327352, _328292]), 1514 ^ _281221 : [(1520 ^ _281221) ^ [] : [-(netstr_induced_subset(1518 ^ [_327348, _327350, _327352, _328292, _331209], _327352, _327350))], (1527 ^ _281221) ^ [] : [-(_331209 = 1521 ^ [_327348, _327350, _327352, _328292, _331209])], (1529 ^ _281221) ^ [] : [-(1518 ^ [_327348, _327350, _327352, _328292, _331209] = relation_rng_as_subset(the_carrier(subnetstr_of_element(_327352, _327350, 1521 ^ [_327348, _327350, _327352, _328292, _331209])), the_carrier(_327352), the_mapping(_327352, subnetstr_of_element(_327352, _327350, 1521 ^ [_327348, _327350, _327352, _328292, _331209]))))], (1523 ^ _281221) ^ [] : [-(element(1521 ^ [_327348, _327350, _327352, _328292, _331209], the_carrier(_327350)))], (1515 ^ _281221) ^ [] : [-(in(1513 ^ [_327348, _327350, _327352, _328292, _331209], the_carrier(_327350)))], (1517 ^ _281221) ^ [] : [-(1513 ^ [_327348, _327350, _327352, _328292, _331209] = _331209)], (1525 ^ _281221) ^ [] : [-(_328292 = topstr_closure(_327352, 1518 ^ [_327348, _327350, _327352, _328292, _331209]))]]]]]]], (1304 ^ _281221) ^ [_323237, _323239, _323241] : [-(subnetstr_of_element(_323241, _323239, _323237) = netstr_restr_to_element(_323241, _323239, _323237)), -(empty_carrier(_323241)), one_sorted_str(_323241), -(empty_carrier(_323239)), transitive_relstr(_323239), directed_relstr(_323239), net_str(_323239, _323241), element(_323237, the_carrier(_323239))], (821 ^ _281221) ^ [_308634, _308636] : [empty(cartesian_product2(_308636, _308634)), -(empty(_308636)), -(empty(_308634))], (216 ^ _281221) ^ [_288062, _288064] : [-(one_sorted_str(_288062)), _288064 = _288062, one_sorted_str(_288064)], (985 ^ _281221) ^ [] : [empty(983 ^ [])], (834 ^ _281221) ^ [_309028] : [-(empty(830 ^ [_309028]))], (292 ^ _281221) ^ [_290460, _290462] : [-(empty_carrier(_290460)), _290462 = _290460, empty_carrier(_290462)], (80 ^ _281221) ^ [_283767, _283769, _283771, _283773] : [-(open_subset(_283771, _283767)), open_subset(_283773, _283769), _283773 = _283771, _283769 = _283767], (312 ^ _281221) ^ [_291050, _291052] : [-(directed_relstr(_291050)), _291052 = _291050, directed_relstr(_291052)], (368 ^ _281221) ^ [_292850, _292852, _292854, _292856] : [-(element(_292854, _292850)), element(_292856, _292852), _292856 = _292854, _292852 = _292850], (20 ^ _281221) ^ [_281969, _281971] : [-(v1_membered(_281969)), _281971 = _281969, v1_membered(_281971)], (1340 ^ _281221) ^ [_324271, _324273] : [-(element(topstr_closure(_324273, _324271), powerset(the_carrier(_324273)))), top_str(_324273), element(_324271, powerset(the_carrier(_324273)))], (1039 ^ _281221) ^ [] : [true___, -(true___)], (1432 ^ _281221) ^ [_326872, _326874] : [1439 ^ _281221 : [(1444 ^ _281221) ^ [] : [-(relation_of2_as_subset(the_mapping(_326874, _326872), the_carrier(_326872), the_carrier(_326874)))], (1442 ^ _281221) ^ [] : [-(quasi_total(the_mapping(_326874, _326872), the_carrier(_326872), the_carrier(_326874)))], (1440 ^ _281221) ^ [] : [-(function(the_mapping(_326874, _326872)))]], one_sorted_str(_326874), net_str(_326872, _326874)], (1388 ^ _281221) ^ [_325645] : [one_sorted_str(_325645), 1391 ^ _281221 : [(1392 ^ _281221) ^ [_325775] : [net_str(_325775, _325645), -(rel_str(_325775))]]], (466 ^ _281221) ^ [_296505, _296507] : [_296507 = _296505, -(the_carrier(_296507) = the_carrier(_296505))], (812 ^ _281221) ^ [_308288] : [-(empty(_308288)), 816 ^ _281221 : [(819 ^ _281221) ^ [] : [empty(815 ^ [_308288])], (817 ^ _281221) ^ [] : [-(element(815 ^ [_308288], powerset(_308288)))]]], (94 ^ _281221) ^ [_284211, _284213, _284215, _284217] : [-(boundary_set(_284215, _284211)), boundary_set(_284217, _284213), _284217 = _284215, _284213 = _284211], (564 ^ _281221) ^ [_300135] : [finite(_300135), 567 ^ _281221 : [(568 ^ _281221) ^ [_300267] : [element(_300267, powerset(_300135)), -(finite(_300267))]]], (336 ^ _281221) ^ [_291817, _291819, _291821, _291823] : [-(in(_291821, _291817)), in(_291823, _291819), _291823 = _291821, _291819 = _291817], (836 ^ _281221) ^ [_309127] : [empty(_309127), -(finite(_309127))], (40 ^ _281221) ^ [_282559, _282561] : [-(v3_membered(_282559)), _282561 = _282559, v3_membered(_282561)], (416 ^ _281221) ^ [_294678, _294680] : [_294680 = _294678, -(relation_rng(_294680) = relation_rng(_294678))], (549 ^ _281221) ^ [] : [empty(547 ^ [])], (800 ^ _281221) ^ [] : [true___, -(true___)], (1268 ^ _281221) ^ [_322039, _322041] : [1283 ^ _281221 : [(1286 ^ _281221) ^ [] : [-(relation(the_mapping(_322041, _322039)))], (1288 ^ _281221) ^ [] : [-(function(the_mapping(_322041, _322039)))], (1290 ^ _281221) ^ [] : [-(quasi_total(the_mapping(_322041, _322039), the_carrier(_322039), the_carrier(_322041)))], (1284 ^ _281221) ^ [] : [empty(the_mapping(_322041, _322039))]], -(empty_carrier(_322041)), one_sorted_str(_322041), -(empty_carrier(_322039)), net_str(_322039, _322041)], (382 ^ _281221) ^ [_293496, _293498, _293500, _293502, _293504, _293506, _293508, _293510] : [-(net_str_of(_293510, _293506, _293502, _293498) = net_str_of(_293508, _293504, _293500, _293496)), _293510 = _293508, _293506 = _293504, _293502 = _293500, _293498 = _293496], (472 ^ _281221) ^ [_296751, _296753, _296755, _296757] : [-(the_mapping(_296757, _296753) = the_mapping(_296755, _296751)), _296757 = _296755, _296753 = _296751], (907 ^ _281221) ^ [_311343] : [top_str(_311343), 910 ^ _281221 : [(911 ^ _281221) ^ [_311483] : [element(_311483, powerset(the_carrier(_311343))), empty(_311483), -(boundary_set(_311483, _311343))]]], (1350 ^ _281221) ^ [_324604, _324606, _324608] : [1377 ^ _281221 : [(1380 ^ _281221) ^ [] : [-(subnet(subnetstr_of_element(_324608, _324606, _324604), _324608, _324606))], (1378 ^ _281221) ^ [] : [-(strict_net_str(subnetstr_of_element(_324608, _324606, _324604), _324608))]], -(empty_carrier(_324608)), one_sorted_str(_324608), -(empty_carrier(_324606)), transitive_relstr(_324606), directed_relstr(_324606), net_str(_324606, _324608), element(_324604, the_carrier(_324606))], (1136 ^ _281221) ^ [_318140] : [empty(the_carrier(_318140)), -(empty_carrier(_318140)), one_sorted_str(_318140)], (60 ^ _281221) ^ [_283149, _283151] : [-(v5_membered(_283149)), _283151 = _283149, v5_membered(_283151)], (282 ^ _281221) ^ [_290165, _290167] : [-(top_str(_290165)), _290167 = _290165, top_str(_290167)], (1132 ^ _281221) ^ [] : [-(one_sorted_str(1130 ^ []))], (322 ^ _281221) ^ [_291373, _291375, _291377, _291379] : [-(net_str(_291377, _291373)), net_str(_291379, _291375), _291379 = _291377, _291375 = _291373], (832 ^ _281221) ^ [_308977] : [-(element(830 ^ [_308977], powerset(_308977)))], (1081 ^ _281221) ^ [] : [true___, -(true___)], (254 ^ _281221) ^ [_289317, _289319, _289321, _289323, _289325, _289327] : [-(relation_of2_as_subset(_289325, _289321, _289317)), relation_of2_as_subset(_289327, _289323, _289319), _289327 = _289325, _289323 = _289321, _289319 = _289317], (999 ^ _281221) ^ [_314148] : [empty(_314148), 1002 ^ _281221 : [(1005 ^ _281221) ^ [] : [-(relation(relation_rng(_314148)))], (1003 ^ _281221) ^ [] : [-(empty(relation_rng(_314148)))]]], (400 ^ _281221) ^ [_294101, _294103] : [_294103 = _294101, -(the_InternalRel(_294103) = the_InternalRel(_294101))], (156 ^ _281221) ^ [_286161, _286163, _286165, _286167, _286169, _286171] : [-(relation_of2(_286169, _286165, _286161)), relation_of2(_286171, _286167, _286163), _286171 = _286169, _286167 = _286165, _286163 = _286161], (350 ^ _281221) ^ [_292289, _292291, _292293, _292295, _292297, _292299] : [-(netstr_induced_subset(_292297, _292293, _292289)), netstr_induced_subset(_292299, _292295, _292291), _292299 = _292297, _292295 = _292293, _292291 = _292289], (122 ^ _281221) ^ [_285099, _285101, _285103, _285105] : [-(closed_subset(_285103, _285099)), closed_subset(_285105, _285101), _285105 = _285103, _285101 = _285099], (553 ^ _281221) ^ [_299723] : [-(empty(_299723)), 557 ^ _281221 : [(562 ^ _281221) ^ [] : [-(finite(556 ^ [_299723]))], (560 ^ _281221) ^ [] : [empty(556 ^ [_299723])], (558 ^ _281221) ^ [] : [-(element(556 ^ [_299723], powerset(_299723)))]]], (1069 ^ _281221) ^ [_316199] : [rel_str(_316199), -(one_sorted_str(_316199))], (727 ^ _281221) ^ [_305384] : [-(element(725 ^ [_305384], powerset(powerset(_305384))))], (1398 ^ _281221) ^ [] : [true___, -(true___)], (1087 ^ _281221) ^ [_316651, _316653, _316655] : [relation_of2_as_subset(_316651, _316655, _316653), -(element(_316651, powerset(cartesian_product2(_316655, _316653))))], (595 ^ _281221) ^ [_301183] : [603 ^ _281221 : [(606 ^ _281221) ^ [] : [-(open_subset(602 ^ [_301183], _301183))], (604 ^ _281221) ^ [] : [-(element(602 ^ [_301183], powerset(the_carrier(_301183))))]], topological_space(_301183), top_str(_301183)], (226 ^ _281221) ^ [_288357, _288359] : [-(function(_288357)), _288359 = _288357, function(_288359)], (644 ^ _281221) ^ [_302772] : [topological_space(_302772), top_str(_302772), 651 ^ _281221 : [(652 ^ _281221) ^ [_302996] : [element(_302996, powerset(the_carrier(_302772))), nowhere_dense(_302996, _302772), -(boundary_set(_302996, _302772))]]], (517 ^ _281221) ^ [_298426] : [525 ^ _281221 : [(536 ^ _281221) ^ [] : [-(v2_membered(524 ^ [_298426]))], (544 ^ _281221) ^ [] : [-(boundary_set(524 ^ [_298426], _298426))], (534 ^ _281221) ^ [] : [-(v1_membered(524 ^ [_298426]))], (538 ^ _281221) ^ [] : [-(v3_membered(524 ^ [_298426]))], (526 ^ _281221) ^ [] : [-(element(524 ^ [_298426], powerset(the_carrier(_298426))))], (528 ^ _281221) ^ [] : [-(empty(524 ^ [_298426]))], (530 ^ _281221) ^ [] : [-(open_subset(524 ^ [_298426], _298426))], (532 ^ _281221) ^ [] : [-(closed_subset(524 ^ [_298426], _298426))], (540 ^ _281221) ^ [] : [-(v4_membered(524 ^ [_298426]))], (542 ^ _281221) ^ [] : [-(v5_membered(524 ^ [_298426]))], (546 ^ _281221) ^ [] : [-(nowhere_dense(524 ^ [_298426], _298426))]], topological_space(_298426), top_str(_298426)], (422 ^ _281221) ^ [_294952, _294954, _294956, _294958, _294960, _294962] : [-(netstr_restr_to_element(_294962, _294958, _294954) = netstr_restr_to_element(_294960, _294956, _294952)), _294962 = _294960, _294958 = _294956, _294954 = _294952], (30 ^ _281221) ^ [_282264, _282266] : [-(v2_membered(_282264)), _282266 = _282264, v2_membered(_282266)]], input).
% 99.45/96.65  ncf('1',plain,[-(directed_relstr(1561 ^ []))],start(1574 ^ 0)).
% 99.45/96.65  ncf('1.1',plain,[directed_relstr(1561 ^ []), -(empty_carrier(1560 ^ [])), topological_space(1560 ^ []), top_str(1560 ^ []), -(empty_carrier(1561 ^ [])), transitive_relstr(1561 ^ []), net_str(1561 ^ [], 1560 ^ []), 1493 : -(1475 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []] = 1477 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]), 1510 : in(1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]], 1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]), 1515 : -(in(1513 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ [], 1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]]], the_carrier(1561 ^ [])))],extension(1446 ^ 1,bind([[_327348, _327350, _327352, _328292, _331209], [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ [], 1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]]]]))).
% 99.45/96.65  ncf('1.1.1',plain,[empty_carrier(1560 ^ [])],extension(1564 ^ 2)).
% 99.45/96.65  ncf('1.1.2',plain,[-(topological_space(1560 ^ []))],extension(1566 ^ 2)).
% 99.45/96.65  ncf('1.1.3',plain,[-(top_str(1560 ^ []))],extension(1568 ^ 2)).
% 99.45/96.65  ncf('1.1.4',plain,[empty_carrier(1561 ^ [])],extension(1570 ^ 2)).
% 99.45/96.65  ncf('1.1.5',plain,[-(transitive_relstr(1561 ^ []))],extension(1572 ^ 2)).
% 99.45/96.65  ncf('1.1.6',plain,[-(net_str(1561 ^ [], 1560 ^ []))],extension(1576 ^ 2)).
% 99.45/96.65  ncf('1.1.7',plain,[1475 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []] = 1477 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []], -(1476 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []] = 1477 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]), 1476 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []] = 1475 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]],extension(10 ^ 6,bind([[_281656, _281658, _281660], [1477 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []], 1475 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []], 1476 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]]]))).
% 99.45/96.65  ncf('1.1.7.1',plain,[1476 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []] = 1477 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []], -(1476 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []] = 1477 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]), 1476 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []] = 1476 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]],extension(10 ^ 7,bind([[_281656, _281658, _281660], [1477 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []], 1476 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []], 1476 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]]]))).
% 99.45/96.65  ncf('1.1.7.1.1',plain,[1476 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []] = 1477 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]],extension(1507 ^ 8)).
% 99.45/96.65  ncf('1.1.7.1.2',plain,[-(1476 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []] = 1476 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []])],extension(2 ^ 8,bind([[_281345], [1476 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]]]))).
% 99.45/96.65  ncf('1.1.7.2',plain,[-(1476 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []] = 1475 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]), 1475 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []] = 1476 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]],extension(4 ^ 7,bind([[_281452, _281454], [1476 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []], 1475 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]]]))).
% 99.45/96.65  ncf('1.1.7.2.1',plain,[-(1475 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []] = 1476 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []])],extension(1479 ^ 8)).
% 99.45/96.65  ncf('1.1.8',plain,[-(in(1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]], 1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []])), 1612 : -(element(1610 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]], the_carrier(1561 ^ [])))],extension(1580 ^ 6,bind([[_335341], [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]]]))).
% 99.45/96.65  ncf('1.1.8.1',plain,[element(1610 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]], the_carrier(1561 ^ [])), 1545 : 1577 ^ [] = topstr_closure(1560 ^ [], 1607 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]]), 1545 : 1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]] = 1610 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]], 1545 : 1607 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]] = relation_rng_as_subset(the_carrier(subnetstr_of_element(1560 ^ [], 1561 ^ [], 1610 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]])), the_carrier(1560 ^ []), the_mapping(1560 ^ [], subnetstr_of_element(1560 ^ [], 1561 ^ [], 1610 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]]))), 1545 : netstr_induced_subset(1607 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]], 1560 ^ [], 1561 ^ []), 1541 : in(1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]], the_carrier(1561 ^ [])), 1541 : 1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]] = 1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]], 1533 : -(in(1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]], 1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]))],extension(1531 ^ 9,bind([[_332452, _332636, _332952, _333159], [1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]], 1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]], 1607 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]], 1610 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]]]]))).
% 99.45/96.65  ncf('1.1.8.1.1',plain,[-(1577 ^ [] = topstr_closure(1560 ^ [], 1607 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]]))],extension(1614 ^ 16)).
% 99.45/96.65  ncf('1.1.8.1.2',plain,[-(1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]] = 1610 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]])],extension(1616 ^ 16)).
% 99.45/96.65  ncf('1.1.8.1.3',plain,[-(1607 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]] = relation_rng_as_subset(the_carrier(subnetstr_of_element(1560 ^ [], 1561 ^ [], 1610 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]])), the_carrier(1560 ^ []), the_mapping(1560 ^ [], subnetstr_of_element(1560 ^ [], 1561 ^ [], 1610 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]]))))],extension(1618 ^ 16)).
% 99.45/96.65  ncf('1.1.8.1.4',plain,[-(netstr_induced_subset(1607 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]], 1560 ^ [], 1561 ^ []))],extension(1609 ^ 14)).
% 99.45/96.65  ncf('1.1.8.1.5',plain,[-(in(1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]], the_carrier(1561 ^ [])))],extension(1606 ^ 12)).
% 99.45/96.65  ncf('1.1.8.1.6',plain,[-(1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]] = 1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]])],extension(2 ^ 12,bind([[_281345], [1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]]]]))).
% 99.45/96.65  ncf('1.1.8.1.7',plain,[in(1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]], 1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []])],reduction('1.1')).
% 99.45/96.65  ncf('1.1.9',plain,[in(1513 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ [], 1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]]], the_carrier(1561 ^ [])), -(in(1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]], the_carrier(1561 ^ []))), 1513 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ [], 1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]]] = 1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]], the_carrier(1561 ^ []) = the_carrier(1561 ^ [])],extension(336 ^ 8,bind([[_291817, _291819, _291821, _291823], [the_carrier(1561 ^ []), the_carrier(1561 ^ []), 1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]], 1513 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ [], 1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]]]]]))).
% 99.45/96.65  ncf('1.1.9.1',plain,[in(1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]], the_carrier(1561 ^ [])), 1588 : netstr_induced_subset(1518 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ [], 1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]]], 1560 ^ [], 1561 ^ []), 1592 : element(1521 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ [], 1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]]], the_carrier(1561 ^ [])), 1592 : 1577 ^ [] = topstr_closure(1560 ^ [], 1518 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ [], 1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]]]), 1592 : 1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]] = 1521 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ [], 1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]]], 1592 : 1518 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ [], 1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]]] = relation_rng_as_subset(the_carrier(subnetstr_of_element(1560 ^ [], 1561 ^ [], 1521 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ [], 1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]]])), the_carrier(1560 ^ []), the_mapping(1560 ^ [], subnetstr_of_element(1560 ^ [], 1561 ^ [], 1521 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ [], 1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]]]))), 1620 : in(1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]], 1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []])],extension(1580 ^ 9,bind([[_335341, _335733, _335911], [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []], 1518 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ [], 1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]]], 1521 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ [], 1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]]]]]))).
% 99.45/96.65  ncf('1.1.9.1.1',plain,[-(netstr_induced_subset(1518 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ [], 1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]]], 1560 ^ [], 1561 ^ []))],extension(1520 ^ 14)).
% 99.45/96.65  ncf('1.1.9.1.2',plain,[-(element(1521 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ [], 1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]]], the_carrier(1561 ^ [])))],extension(1523 ^ 16)).
% 99.45/96.65  ncf('1.1.9.1.3',plain,[-(1577 ^ [] = topstr_closure(1560 ^ [], 1518 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ [], 1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]]]))],extension(1525 ^ 16)).
% 99.45/96.65  ncf('1.1.9.1.4',plain,[-(1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]] = 1521 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ [], 1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]]])],extension(1527 ^ 16)).
% 99.45/96.65  ncf('1.1.9.1.5',plain,[-(1518 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ [], 1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]]] = relation_rng_as_subset(the_carrier(subnetstr_of_element(1560 ^ [], 1561 ^ [], 1521 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ [], 1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]]])), the_carrier(1560 ^ []), the_mapping(1560 ^ [], subnetstr_of_element(1560 ^ [], 1561 ^ [], 1521 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ [], 1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]]]))))],extension(1529 ^ 16)).
% 99.45/96.65  ncf('1.1.9.1.6',plain,[-(in(1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]], 1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]))],lemmata('[1].x')).
% 99.45/96.65  ncf('1.1.9.2',plain,[-(1513 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ [], 1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]]] = 1578 ^ [1508 ^ [_185171, 1561 ^ [], 1560 ^ [], 1577 ^ []]])],extension(1517 ^ 9)).
% 99.45/96.65  ncf('1.1.9.3',plain,[-(the_carrier(1561 ^ []) = the_carrier(1561 ^ []))],extension(2 ^ 9,bind([[_281345], [the_carrier(1561 ^ [])]]))).
% 99.45/96.65  %-----------------------------------------------------
% 99.45/96.65  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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