%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU387+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 12:03:22 EDT 2023

% Result   : Theorem 53.90s 52.18s
% Output   : Proof 53.90s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SEU387+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.11/0.35  % Computer : n028.cluster.edu
% 0.11/0.35  % Model    : x86_64 x86_64
% 0.11/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35  % Memory   : 8042.1875MB
% 0.11/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.35  % CPULimit : 300
% 0.11/0.35  % WCLimit  : 300
% 0.11/0.35  % DateTime : Thu May 18 13:10:33 EDT 2023
% 0.11/0.35  % CPUTime  : 
% 53.90/52.18  
% 53.90/52.18  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 53.90/52.18  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 53.90/52.18  %-----------------------------------------------------
% 53.90/52.18  ncf(matrix, plain, [(1569 ^ _289068) ^ [] : [-(filtered_subset(1565 ^ [], boole_POSet(1562 ^ [])))], (1575 ^ _289068) ^ [] : [-(element(1565 ^ [], powerset(the_carrier(boole_POSet(1562 ^ [])))))], (1564 ^ _289068) ^ [] : [empty(1562 ^ [])], (1578 ^ _289068) ^ [] : [-(in(1576 ^ [], 1565 ^ []))], (1571 ^ _289068) ^ [] : [-(upper_relstr_subset(1565 ^ [], boole_POSet(1562 ^ [])))], (1573 ^ _289068) ^ [] : [-(proper_element(1565 ^ [], powerset(the_carrier(boole_POSet(1562 ^ [])))))], (1580 ^ _289068) ^ [] : [-(empty(1576 ^ []))], (1567 ^ _289068) ^ [] : [empty(1565 ^ [])], !, (1015 ^ _240406) ^ [] : [-(empty(empty_set))], (1501 ^ _240406) ^ [_286681, _286683] : [empty(_286683), -(_286683 = _286681), empty(_286681)], (904 ^ _240406) ^ [_267207] : [-(element(902 ^ [_267207], _267207))], (901 ^ _240406) ^ [_267080, _267082] : [-(relation_of2(899 ^ [_267080, _267082], _267082, _267080))], (90 ^ _240406) ^ [_243219, _243221] : [-(boolean_relstr(_243219)), _243221 = _243219, boolean_relstr(_243221)], (1219 ^ _240406) ^ [] : [-(lower_bounded_relstr(1203 ^ []))], (1164 ^ _240406) ^ [] : [-(bounded_relstr(1140 ^ []))], (1041 ^ _240406) ^ [_271840] : [-(strict_rel_str(boole_POSet(_271840)))], (190 ^ _240406) ^ [_246169, _246171] : [-(strict_rel_str(_246169)), _246171 = _246169, strict_rel_str(_246171)], (1252 ^ _240406) ^ [] : [-(with_suprema_relstr(1238 ^ []))], (1410 ^ _240406) ^ [] : [-(directed_relstr(1400 ^ []))], (1248 ^ _240406) ^ [] : [-(transitive_relstr(1238 ^ []))], (1265 ^ _240406) ^ [] : [-(strict_rel_str(1259 ^ []))], (1227 ^ _240406) ^ [] : [-(distributive_relstr(1203 ^ []))], (1182 ^ _240406) ^ [] : [-(reflexive_relstr(1174 ^ []))], (1083 ^ _240406) ^ [_273237] : [v1_yellow_3(boole_POSet(_273237))], (436 ^ _240406) ^ [_254095, _254097] : [_254097 = _254095, -(bottom_of_relstr(_254097) = bottom_of_relstr(_254095))], (330 ^ _240406) ^ [_250514, _250516, _250518, _250520] : [-(filtered_subset(_250518, _250514)), filtered_subset(_250520, _250516), _250520 = _250518, _250516 = _250514], (1287 ^ _240406) ^ [_279624] : [-(empty(1283 ^ [_279624]))], (1221 ^ _240406) ^ [] : [-(upper_bounded_relstr(1203 ^ []))], (400 ^ _240406) ^ [_252686, _252688] : [-(empty(_252686)), _252688 = _252686, empty(_252688)], (957 ^ _240406) ^ [_268919] : [v1_yellow_3(boole_POSet(_268919))], (410 ^ _240406) ^ [_253159, _253161] : [_253161 = _253159, -(the_InternalRel(_253161) = the_InternalRel(_253159))], (1362 ^ _240406) ^ [_282238] : [1390 ^ _240406 : [(1391 ^ _240406) ^ [] : [-(element(1389 ^ [_282238], powerset(the_carrier(_282238))))], (1395 ^ _240406) ^ [] : [-(proper_element(1389 ^ [_282238], powerset(the_carrier(_282238))))], (1399 ^ _240406) ^ [] : [-(upper_relstr_subset(1389 ^ [_282238], _282238))], (1397 ^ _240406) ^ [] : [-(filtered_subset(1389 ^ [_282238], _282238))], (1393 ^ _240406) ^ [] : [empty(1389 ^ [_282238])]], -(empty_carrier(_282238)), -(trivial_carrier(_282238)), reflexive_relstr(_282238), transitive_relstr(_282238), antisymmetric_relstr(_282238), upper_bounded_relstr(_282238), rel_str(_282238)], (358 ^ _240406) ^ [_251402, _251404, _251406, _251408] : [-(proper_element(_251406, _251402)), proper_element(_251408, _251404), _251408 = _251406, _251404 = _251402], (744 ^ _240406) ^ [_262842] : [rel_str(_262842), bounded_relstr(_262842), 751 ^ _240406 : [(754 ^ _240406) ^ [] : [-(upper_bounded_relstr(_262842))], (752 ^ _240406) ^ [] : [-(lower_bounded_relstr(_262842))]]], (864 ^ _240406) ^ [] : [true___, -(true___)], (1019 ^ _240406) ^ [_271133, _271135] : [empty(cartesian_product2(_271135, _271133)), -(empty(_271135)), -(empty(_271133))], (1275 ^ _240406) ^ [] : [-(with_infima_relstr(1259 ^ []))], (1037 ^ _240406) ^ [_271669] : [-(antisymmetric_relstr(boole_POSet(_271669)))], (792 ^ _240406) ^ [_264114] : [rel_str(_264114), 807 ^ _240406 : [(810 ^ _240406) ^ [] : [-(reflexive_relstr(_264114))], (812 ^ _240406) ^ [] : [-(with_suprema_relstr(_264114))], (814 ^ _240406) ^ [] : [-(upper_bounded_relstr(_264114))], (808 ^ _240406) ^ [] : [empty_carrier(_264114)]], reflexive_relstr(_264114), with_suprema_relstr(_264114), up_complete_relstr(_264114)], (1193 ^ _240406) ^ [] : [-(relation(1189 ^ []))], (682 ^ _240406) ^ [_261088] : [finite(_261088), 685 ^ _240406 : [(686 ^ _240406) ^ [_261220] : [element(_261220, powerset(_261088)), -(finite(_261220))]]], (852 ^ _240406) ^ [_265755] : [rel_str(_265755), -(one_sorted_str(_265755))], (1071 ^ _240406) ^ [_272848] : [-(lower_bounded_relstr(boole_POSet(_272848)))], (1069 ^ _240406) ^ [_272783] : [-(antisymmetric_relstr(boole_POSet(_272783)))], (1315 ^ _240406) ^ [] : [-(upper_bounded_relstr(1295 ^ []))], (1077 ^ _240406) ^ [_273043] : [-(directed_relstr(boole_POSet(_273043)))], (1031 ^ _240406) ^ [_271494] : [-(strict_rel_str(boole_POSet(_271494)))], (1176 ^ _240406) ^ [] : [-(rel_str(1174 ^ []))], (1469 ^ _240406) ^ [_285649, _285651, _285653] : [-(element(_285653, _285649)), in(_285653, _285651), element(_285651, powerset(_285649))], (636 ^ _240406) ^ [_259711] : [empty(_259711), -(finite(_259711))], (1447 ^ _240406) ^ [_284926, _284928] : [element(_284928, _284926), -(empty(_284926)), -(in(_284928, _284926))], (10 ^ _240406) ^ [_240841, _240843, _240845] : [-(_240845 = _240841), _240845 = _240843, _240843 = _240841], (1299 ^ _240406) ^ [] : [empty_carrier(1295 ^ [])], (4 ^ _240406) ^ [_240637, _240639] : [_240639 = _240637, -(_240637 = _240639)], (1495 ^ _240406) ^ [_286474, _286476] : [in(_286476, _286474), empty(_286474)], (140 ^ _240406) ^ [_244694, _244696] : [-(relation(_244694)), _244696 = _244694, relation(_244696)], (170 ^ _240406) ^ [_245579, _245581] : [-(trivial_carrier(_245579)), _245581 = _245579, trivial_carrier(_245581)], (210 ^ _240406) ^ [_246759, _246761] : [-(one_sorted_str(_246759)), _246761 = _246759, one_sorted_str(_246761)], (1049 ^ _240406) ^ [_272100] : [-(lower_bounded_relstr(boole_POSet(_272100)))], (1237 ^ _240406) ^ [] : [-(with_infima_relstr(1203 ^ []))], (1017 ^ _240406) ^ [] : [-(relation(empty_set))], (1207 ^ _240406) ^ [] : [empty_carrier(1203 ^ [])], (1256 ^ _240406) ^ [] : [-(complete_relstr(1238 ^ []))], (898 ^ _240406) ^ [] : [-(one_sorted_str(896 ^ []))], (1338 ^ _240406) ^ [] : [empty_carrier(1334 ^ [])], (1223 ^ _240406) ^ [] : [-(bounded_relstr(1203 ^ []))], (1217 ^ _240406) ^ [] : [-(antisymmetric_relstr(1203 ^ []))], (372 ^ _240406) ^ [_251846, _251848, _251850, _251852] : [-(element(_251850, _251846)), element(_251852, _251848), _251852 = _251850, _251848 = _251846], (963 ^ _240406) ^ [_269114] : [-(complemented_relstr(boole_POSet(_269114)))], (1225 ^ _240406) ^ [] : [v1_yellow_3(1203 ^ [])], (1137 ^ _240406) ^ [] : [-(antisymmetric_relstr(1127 ^ []))], (1103 ^ _240406) ^ [_274026] : [1119 ^ _240406 : [(1122 ^ _240406) ^ [] : [empty(1118 ^ [_274026])], (1124 ^ _240406) ^ [] : [-(filtered_subset(1118 ^ [_274026], _274026))], (1126 ^ _240406) ^ [] : [-(upper_relstr_subset(1118 ^ [_274026], _274026))], (1120 ^ _240406) ^ [] : [-(element(1118 ^ [_274026], powerset(the_carrier(_274026))))]], -(empty_carrier(_274026)), reflexive_relstr(_274026), transitive_relstr(_274026), rel_str(_274026)], (1246 ^ _240406) ^ [] : [-(reflexive_relstr(1238 ^ []))], (1294 ^ _240406) ^ [_279903] : [-(finite(1288 ^ [_279903]))], (1425 ^ _240406) ^ [_284146, _284148, _284150] : [relation_of2_as_subset(_284146, _284150, _284148), -(relation_of2(_284146, _284150, _284148))], (1089 ^ _240406) ^ [_273412] : [-(complete_relstr(boole_POSet(_273412)))], (951 ^ _240406) ^ [_268725] : [-(bounded_relstr(boole_POSet(_268725)))], (1351 ^ _240406) ^ [_281826] : [-(empty(_281826)), 1355 ^ _240406 : [(1360 ^ _240406) ^ [] : [-(finite(1354 ^ [_281826]))], (1358 ^ _240406) ^ [] : [empty(1354 ^ [_281826])], (1356 ^ _240406) ^ [] : [-(element(1354 ^ [_281826], powerset(_281826)))]]], (664 ^ _240406) ^ [_260591] : [rel_str(_260591), 675 ^ _240406 : [(680 ^ _240406) ^ [] : [-(with_infima_relstr(_260591))], (678 ^ _240406) ^ [] : [-(with_suprema_relstr(_260591))], (676 ^ _240406) ^ [] : [empty_carrier(_260591)]], -(empty_carrier(_260591)), complete_relstr(_260591)], (100 ^ _240406) ^ [_243514, _243516] : [-(with_suprema_relstr(_243514)), _243516 = _243514, with_suprema_relstr(_243516)], (180 ^ _240406) ^ [_245874, _245876] : [-(upper_bounded_relstr(_245874)), _245876 = _245874, upper_bounded_relstr(_245876)], (1087 ^ _240406) ^ [_273367] : [-(with_infima_relstr(boole_POSet(_273367)))], (949 ^ _240406) ^ [_268660] : [-(upper_bounded_relstr(boole_POSet(_268660)))], (1437 ^ _240406) ^ [_284525, _284527] : [-(subset(_284527, _284527))], (602 ^ _240406) ^ [_258825] : [rel_str(_258825), 625 ^ _240406 : [(626 ^ _240406) ^ [] : [empty_carrier(_258825)], (630 ^ _240406) ^ [] : [-(antisymmetric_relstr(_258825))], (634 ^ _240406) ^ [] : [-(upper_bounded_relstr(_258825))], (632 ^ _240406) ^ [] : [-(with_suprema_relstr(_258825))], (628 ^ _240406) ^ [] : [-(reflexive_relstr(_258825))]], -(empty_carrier(_258825)), reflexive_relstr(_258825), antisymmetric_relstr(_258825), upper_bounded_relstr(_258825), join_complete_relstr(_258825)], (1091 ^ _240406) ^ [_273548, _273550] : [relation_of2(_273548, _273550, _273550), 1094 ^ _240406 : [(1095 ^ _240406) ^ [_273718, _273720] : [rel_str_of(_273550, _273548) = rel_str_of(_273720, _273718), 1098 ^ _240406 : [(1101 ^ _240406) ^ [] : [-(_273548 = _273718)], (1099 ^ _240406) ^ [] : [-(_273550 = _273720)]]]]], (1242 ^ _240406) ^ [] : [empty_carrier(1238 ^ [])], (870 ^ _240406) ^ [] : [true___, -(true___)], (1152 ^ _240406) ^ [] : [-(antisymmetric_relstr(1140 ^ []))], (842 ^ _240406) ^ [_265413] : [rel_str(_265413), -(element(bottom_of_relstr(_265413), the_carrier(_265413)))], (1133 ^ _240406) ^ [] : [-(reflexive_relstr(1127 ^ []))], (658 ^ _240406) ^ [_260381, _260383, _260385] : [element(_260381, powerset(cartesian_product2(_260385, _260383))), -(relation(_260381))], (1188 ^ _240406) ^ [] : [-(complete_relstr(1174 ^ []))], (915 ^ _240406) ^ [_267626, _267628] : [-(finite(cartesian_product2(_267628, _267626))), finite(_267628), finite(_267626)], (1457 ^ _240406) ^ [_285253, _285255] : [element(_285255, powerset(_285253)), -(subset(_285255, _285253))], (344 ^ _240406) ^ [_250958, _250960, _250962, _250964] : [-(upper_relstr_subset(_250962, _250958)), upper_relstr_subset(_250964, _250960), _250964 = _250962, _250960 = _250958], (967 ^ _240406) ^ [_269244] : [-(with_suprema_relstr(boole_POSet(_269244)))], (160 ^ _240406) ^ [_245284, _245286] : [-(finite(_245284)), _245286 = _245284, finite(_245286)], (1144 ^ _240406) ^ [] : [empty_carrier(1140 ^ [])], (1160 ^ _240406) ^ [] : [-(lower_bounded_relstr(1140 ^ []))], (959 ^ _240406) ^ [_268984] : [-(distributive_relstr(boole_POSet(_268984)))], (1240 ^ _240406) ^ [] : [-(rel_str(1238 ^ []))], (80 ^ _240406) ^ [_242924, _242926] : [-(complemented_relstr(_242924)), _242926 = _242924, complemented_relstr(_242926)], (1173 ^ _240406) ^ [] : [-(finite(1169 ^ []))], (961 ^ _240406) ^ [_269049] : [-(heyting_relstr(boole_POSet(_269049)))], (1229 ^ _240406) ^ [] : [-(heyting_relstr(1203 ^ []))], (1053 ^ _240406) ^ [_272230] : [-(bounded_relstr(boole_POSet(_272230)))], (386 ^ _240406) ^ [_252290, _252292, _252294, _252296] : [-(in(_252294, _252290)), in(_252296, _252292), _252296 = _252294, _252292 = _252290], (1463 ^ _240406) ^ [_285419, _285421] : [subset(_285421, _285419), -(element(_285421, powerset(_285419)))], (1211 ^ _240406) ^ [] : [-(strict_rel_str(1203 ^ []))], (955 ^ _240406) ^ [_268855] : [-(join_complete_relstr(boole_POSet(_268855)))], (965 ^ _240406) ^ [_269179] : [-(boolean_relstr(boole_POSet(_269179)))], (1441 ^ _240406) ^ [_284716, _284718] : [in(_284718, _284716), -(element(_284718, _284716))], (300 ^ _240406) ^ [_249601, _249603] : [-(antisymmetric_relstr(_249601)), _249603 = _249601, antisymmetric_relstr(_249603)], (830 ^ _240406) ^ [] : [true___, -(true___)], (1184 ^ _240406) ^ [] : [-(transitive_relstr(1174 ^ []))], (1231 ^ _240406) ^ [] : [-(complemented_relstr(1203 ^ []))], (728 ^ _240406) ^ [_262415] : [rel_str(_262415), 739 ^ _240406 : [(742 ^ _240406) ^ [] : [-(bounded_relstr(_262415))], (740 ^ _240406) ^ [] : [empty_carrier(_262415)]], -(empty_carrier(_262415)), complete_relstr(_262415)], (1059 ^ _240406) ^ [_272405] : [-(complete_relstr(boole_POSet(_272405)))], (907 ^ _240406) ^ [_267346, _267348] : [-(relation_of2_as_subset(905 ^ [_267346, _267348], _267348, _267346))], (1063 ^ _240406) ^ [_272588] : [-(strict_rel_str(boole_POSet(_272588)))], (1139 ^ _240406) ^ [] : [-(connected_relstr(1127 ^ []))], (1340 ^ _240406) ^ [_281405] : [one_sorted_str(_281405), 1344 ^ _240406 : [(1349 ^ _240406) ^ [] : [-(finite(1343 ^ [_281405]))], (1347 ^ _240406) ^ [] : [empty(1343 ^ [_281405])], (1345 ^ _240406) ^ [] : [-(element(1343 ^ [_281405], powerset(powerset(the_carrier(_281405)))))]]], (1404 ^ _240406) ^ [] : [empty_carrier(1400 ^ [])], (1131 ^ _240406) ^ [] : [empty_carrier(1127 ^ [])], (1277 ^ _240406) ^ [] : [-(complete_relstr(1259 ^ []))], (426 ^ _240406) ^ [_253764, _253766, _253768, _253770] : [-(rel_str_of(_253770, _253766) = rel_str_of(_253768, _253764)), _253770 = _253768, _253766 = _253764], (1075 ^ _240406) ^ [_272978] : [-(bounded_relstr(boole_POSet(_272978)))], (70 ^ _240406) ^ [_242629, _242631] : [-(heyting_relstr(_242629)), _242631 = _242629, heyting_relstr(_242631)], (1156 ^ _240406) ^ [] : [-(with_infima_relstr(1140 ^ []))], (1035 ^ _240406) ^ [_271624] : [-(transitive_relstr(boole_POSet(_271624)))], (1158 ^ _240406) ^ [] : [-(complete_relstr(1140 ^ []))], (522 ^ _240406) ^ [_256690] : [rel_str(_256690), 553 ^ _240406 : [(560 ^ _240406) ^ [] : [-(antisymmetric_relstr(_256690))], (572 ^ _240406) ^ [] : [-(bounded_relstr(_256690))], (556 ^ _240406) ^ [] : [-(reflexive_relstr(_256690))], (554 ^ _240406) ^ [] : [empty_carrier(_256690)], (564 ^ _240406) ^ [] : [-(with_infima_relstr(_256690))], (570 ^ _240406) ^ [] : [-(upper_bounded_relstr(_256690))], (558 ^ _240406) ^ [] : [-(transitive_relstr(_256690))], (568 ^ _240406) ^ [] : [-(lower_bounded_relstr(_256690))], (562 ^ _240406) ^ [] : [-(with_suprema_relstr(_256690))], (566 ^ _240406) ^ [] : [-(complete_relstr(_256690))]], -(empty_carrier(_256690)), reflexive_relstr(_256690), transitive_relstr(_256690), antisymmetric_relstr(_256690), with_suprema_relstr(_256690), lower_bounded_relstr(_256690), up_complete_relstr(_256690)], (1079 ^ _240406) ^ [_273108] : [-(up_complete_relstr(boole_POSet(_273108)))], (500 ^ _240406) ^ [_256110] : [rel_str(_256110), 515 ^ _240406 : [(520 ^ _240406) ^ [] : [-(lower_bounded_relstr(_256110))], (518 ^ _240406) ^ [] : [-(reflexive_relstr(_256110))], (516 ^ _240406) ^ [] : [empty_carrier(_256110)]], -(empty_carrier(_256110)), reflexive_relstr(_256110), join_complete_relstr(_256110)], (1065 ^ _240406) ^ [_272653] : [-(reflexive_relstr(boole_POSet(_272653)))], (60 ^ _240406) ^ [_242334, _242336] : [-(distributive_relstr(_242334)), _242336 = _242334, distributive_relstr(_242336)], (1319 ^ _240406) ^ [_280694] : [-(empty(_280694)), 1323 ^ _240406 : [(1328 ^ _240406) ^ [] : [-(finite(1322 ^ [_280694]))], (1326 ^ _240406) ^ [] : [empty(1322 ^ [_280694])], (1324 ^ _240406) ^ [] : [-(element(1322 ^ [_280694], powerset(_280694)))]]], (1297 ^ _240406) ^ [] : [-(rel_str(1295 ^ []))], (130 ^ _240406) ^ [_244399, _244401] : [-(bounded_relstr(_244399)), _244401 = _244399, bounded_relstr(_244401)], (470 ^ _240406) ^ [_255263, _255265] : [in(_255265, _255263), in(_255263, _255265)], (876 ^ _240406) ^ [_266326, _266328, _266330] : [relation_of2_as_subset(_266326, _266330, _266328), -(element(_266326, powerset(cartesian_product2(_266330, _266328))))], (1254 ^ _240406) ^ [] : [-(with_infima_relstr(1238 ^ []))], (937 ^ _240406) ^ [_268270] : [empty_carrier(boole_POSet(_268270))], (1269 ^ _240406) ^ [] : [-(transitive_relstr(1259 ^ []))], (1303 ^ _240406) ^ [] : [-(transitive_relstr(1295 ^ []))], (1039 ^ _240406) ^ [_271775] : [empty_carrier(boole_POSet(_271775))], (1273 ^ _240406) ^ [] : [-(with_suprema_relstr(1259 ^ []))], (1235 ^ _240406) ^ [] : [-(with_suprema_relstr(1203 ^ []))], (416 ^ _240406) ^ [_253405, _253407, _253409, _253411] : [-(cartesian_product2(_253411, _253407) = cartesian_product2(_253409, _253405)), _253411 = _253409, _253407 = _253405], (836 ^ _240406) ^ [] : [true___, -(true___)], (1061 ^ _240406) ^ [_272523] : [empty_carrier(boole_POSet(_272523))], (824 ^ _240406) ^ [] : [true___, -(true___)], (150 ^ _240406) ^ [_244989, _244991] : [-(relation_empty_yielding(_244989)), _244991 = _244989, relation_empty_yielding(_244991)], (911 ^ _240406) ^ [] : [-(relation(empty_set))], (913 ^ _240406) ^ [] : [-(relation_empty_yielding(empty_set))], (1439 ^ _240406) ^ [_284605] : [-(bottom_of_relstr(boole_POSet(_284605)) = empty_set)], (320 ^ _240406) ^ [_250191, _250193] : [-(rel_str(_250191)), _250193 = _250191, rel_str(_250193)], (1154 ^ _240406) ^ [] : [-(with_suprema_relstr(1140 ^ []))], (1412 ^ _240406) ^ [_283668] : [1420 ^ _240406 : [(1423 ^ _240406) ^ [] : [empty(1419 ^ [_283668])], (1421 ^ _240406) ^ [] : [-(element(1419 ^ [_283668], powerset(the_carrier(_283668))))]], -(empty_carrier(_283668)), one_sorted_str(_283668)], (1047 ^ _240406) ^ [_272035] : [-(antisymmetric_relstr(boole_POSet(_272035)))], (943 ^ _240406) ^ [_268465] : [-(transitive_relstr(boole_POSet(_268465)))], (941 ^ _240406) ^ [_268400] : [-(reflexive_relstr(boole_POSet(_268400)))], (290 ^ _240406) ^ [_249306, _249308] : [-(transitive_relstr(_249306)), _249308 = _249306, transitive_relstr(_249308)], (1258 ^ _240406) ^ [] : [-(trivial_carrier(1238 ^ []))], (1186 ^ _240406) ^ [] : [-(antisymmetric_relstr(1174 ^ []))], (1244 ^ _240406) ^ [] : [-(strict_rel_str(1238 ^ []))], (1205 ^ _240406) ^ [] : [-(rel_str(1203 ^ []))], (280 ^ _240406) ^ [_249011, _249013] : [-(reflexive_relstr(_249011)), _249013 = _249011, reflexive_relstr(_249013)], (692 ^ _240406) ^ [_261425] : [rel_str(_261425), with_infima_relstr(_261425), empty_carrier(_261425)], (1129 ^ _240406) ^ [] : [-(rel_str(1127 ^ []))], (702 ^ _240406) ^ [_261695] : [rel_str(_261695), 717 ^ _240406 : [(718 ^ _240406) ^ [] : [empty_carrier(_261695)], (722 ^ _240406) ^ [] : [-(transitive_relstr(_261695))], (726 ^ _240406) ^ [] : [-(complete_relstr(_261695))], (724 ^ _240406) ^ [] : [-(antisymmetric_relstr(_261695))], (720 ^ _240406) ^ [] : [-(reflexive_relstr(_261695))]], -(empty_carrier(_261695)), reflexive_relstr(_261695), trivial_carrier(_261695)], (1406 ^ _240406) ^ [] : [-(strict_rel_str(1400 ^ []))], (642 ^ _240406) ^ [_259897] : [rel_str(_259897), with_suprema_relstr(_259897), empty_carrier(_259897)], (1029 ^ _240406) ^ [_271429] : [empty_carrier(boole_POSet(_271429))], (310 ^ _240406) ^ [_249896, _249898] : [-(lower_bounded_relstr(_249896)), _249898 = _249896, lower_bounded_relstr(_249898)], (50 ^ _240406) ^ [_242039, _242041] : [-(v1_yellow_3(_242039)), _242041 = _242039, v1_yellow_3(_242041)], (1290 ^ _240406) ^ [_279783] : [-(element(1288 ^ [_279783], powerset(powerset(_279783))))], (1333 ^ _240406) ^ [] : [-(relation_empty_yielding(1329 ^ []))], (1045 ^ _240406) ^ [_271970] : [-(transitive_relstr(boole_POSet(_271970)))], (1195 ^ _240406) ^ [_276788] : [-(empty(_276788)), 1199 ^ _240406 : [(1202 ^ _240406) ^ [] : [empty(1198 ^ [_276788])], (1200 ^ _240406) ^ [] : [-(element(1198 ^ [_276788], powerset(_276788)))]]], (110 ^ _240406) ^ [_243809, _243811] : [-(with_infima_relstr(_243809)), _243811 = _243809, with_infima_relstr(_243811)], (778 ^ _240406) ^ [_263762] : [rel_str(_263762), -(bounded_relstr(_263762)), lower_bounded_relstr(_263762), upper_bounded_relstr(_263762)], (1055 ^ _240406) ^ [_272295] : [-(with_suprema_relstr(boole_POSet(_272295)))], (882 ^ _240406) ^ [_266540] : [rel_str(_266540), -(relation_of2_as_subset(the_InternalRel(_266540), the_carrier(_266540), the_carrier(_266540)))], (120 ^ _240406) ^ [_244104, _244106] : [-(complete_relstr(_244104)), _244106 = _244104, complete_relstr(_244106)], (1271 ^ _240406) ^ [] : [-(antisymmetric_relstr(1259 ^ []))], (1142 ^ _240406) ^ [] : [-(rel_str(1140 ^ []))], (895 ^ _240406) ^ [] : [-(rel_str(893 ^ []))], (1135 ^ _240406) ^ [] : [-(transitive_relstr(1127 ^ []))], (1209 ^ _240406) ^ [] : [trivial_carrier(1203 ^ [])], (816 ^ _240406) ^ [_264775, _264777] : [relation_of2(_264775, _264777, _264777), 819 ^ _240406 : [(822 ^ _240406) ^ [] : [-(rel_str(rel_str_of(_264777, _264775)))], (820 ^ _240406) ^ [] : [-(strict_rel_str(rel_str_of(_264777, _264775)))]]], (969 ^ _240406) ^ [_269309] : [-(with_infima_relstr(boole_POSet(_269309)))], (1280 ^ _240406) ^ [] : [empty(1278 ^ [])], (756 ^ _240406) ^ [_263182] : [rel_str(_263182), 771 ^ _240406 : [(776 ^ _240406) ^ [] : [-(connected_relstr(_263182))], (774 ^ _240406) ^ [] : [-(reflexive_relstr(_263182))], (772 ^ _240406) ^ [] : [empty_carrier(_263182)]], -(empty_carrier(_263182)), reflexive_relstr(_263182), trivial_carrier(_263182)], (40 ^ _240406) ^ [_241744, _241746] : [-(join_complete_relstr(_241744)), _241746 = _241744, join_complete_relstr(_241746)], (1067 ^ _240406) ^ [_272718] : [-(transitive_relstr(boole_POSet(_272718)))], (939 ^ _240406) ^ [_268335] : [-(strict_rel_str(boole_POSet(_268335)))], (1402 ^ _240406) ^ [] : [-(rel_str(1400 ^ []))], (1057 ^ _240406) ^ [_272360] : [-(with_infima_relstr(boole_POSet(_272360)))], (200 ^ _240406) ^ [_246464, _246466] : [-(directed_relstr(_246464)), _246466 = _246464, directed_relstr(_246466)], (476 ^ _240406) ^ [_255460] : [rel_str(_255460), 491 ^ _240406 : [(494 ^ _240406) ^ [] : [-(reflexive_relstr(_255460))], (496 ^ _240406) ^ [] : [-(up_complete_relstr(_255460))], (498 ^ _240406) ^ [] : [-(join_complete_relstr(_255460))], (492 ^ _240406) ^ [] : [empty_carrier(_255460)]], -(empty_carrier(_255460)), reflexive_relstr(_255460), complete_relstr(_255460)], (1051 ^ _240406) ^ [_272165] : [-(upper_bounded_relstr(boole_POSet(_272165)))], (1146 ^ _240406) ^ [] : [-(strict_rel_str(1140 ^ []))], (1317 ^ _240406) ^ [] : [-(bounded_relstr(1295 ^ []))], (1305 ^ _240406) ^ [] : [-(antisymmetric_relstr(1295 ^ []))], (1148 ^ _240406) ^ [] : [-(reflexive_relstr(1140 ^ []))], (925 ^ _240406) ^ [_267911] : [empty(the_carrier(_267911)), -(empty_carrier(_267911)), one_sorted_str(_267911)], (1178 ^ _240406) ^ [] : [empty_carrier(1174 ^ [])], (20 ^ _240406) ^ [_241154, _241156] : [-(connected_relstr(_241154)), _241156 = _241154, connected_relstr(_241156)], (953 ^ _240406) ^ [_268790] : [-(up_complete_relstr(boole_POSet(_268790)))], (1331 ^ _240406) ^ [] : [-(relation(1329 ^ []))], (1250 ^ _240406) ^ [] : [-(antisymmetric_relstr(1238 ^ []))], (238 ^ _240406) ^ [_247719, _247721, _247723, _247725, _247727, _247729] : [-(relation_of2(_247727, _247723, _247719)), relation_of2(_247729, _247725, _247721), _247729 = _247727, _247725 = _247723, _247721 = _247719], (850 ^ _240406) ^ [_265659] : [-(rel_str(boole_POSet(_265659)))], (1215 ^ _240406) ^ [] : [-(transitive_relstr(1203 ^ []))], (1431 ^ _240406) ^ [_284318, _284320, _284322] : [relation_of2(_284318, _284322, _284320), -(relation_of2_as_subset(_284318, _284322, _284320))], (971 ^ _240406) ^ [_269354] : [-(complete_relstr(boole_POSet(_269354)))], (935 ^ _240406) ^ [_268172] : [empty(powerset(_268172))], (256 ^ _240406) ^ [_248300, _248302, _248304, _248306] : [-(subset(_248304, _248300)), subset(_248306, _248302), _248306 = _248304, _248302 = _248300], (1162 ^ _240406) ^ [] : [-(upper_bounded_relstr(1140 ^ []))], (1267 ^ _240406) ^ [] : [-(reflexive_relstr(1259 ^ []))], (1213 ^ _240406) ^ [] : [-(reflexive_relstr(1203 ^ []))], (1085 ^ _240406) ^ [_273302] : [-(with_suprema_relstr(boole_POSet(_273302)))], (1233 ^ _240406) ^ [] : [-(boolean_relstr(1203 ^ []))], (1073 ^ _240406) ^ [_272913] : [-(upper_bounded_relstr(boole_POSet(_272913)))], (1309 ^ _240406) ^ [] : [-(with_infima_relstr(1295 ^ []))], (1311 ^ _240406) ^ [] : [-(complete_relstr(1295 ^ []))], (888 ^ _240406) ^ [] : [true___, -(true___)], (1313 ^ _240406) ^ [] : [-(lower_bounded_relstr(1295 ^ []))], (1292 ^ _240406) ^ [_279855] : [empty(1288 ^ [_279855])], (1180 ^ _240406) ^ [] : [-(strict_rel_str(1174 ^ []))], (1336 ^ _240406) ^ [] : [-(one_sorted_str(1334 ^ []))], (1408 ^ _240406) ^ [] : [-(transitive_relstr(1400 ^ []))], (973 ^ _240406) ^ [_269482] : [-(empty(_269482)), 976 ^ _240406 : [(999 ^ _240406) ^ [] : [v1_yellow_3(boole_POSet(_269482))], (987 ^ _240406) ^ [] : [-(antisymmetric_relstr(boole_POSet(_269482)))], (1009 ^ _240406) ^ [] : [-(with_suprema_relstr(boole_POSet(_269482)))], (993 ^ _240406) ^ [] : [-(bounded_relstr(boole_POSet(_269482)))], (995 ^ _240406) ^ [] : [-(up_complete_relstr(boole_POSet(_269482)))], (977 ^ _240406) ^ [] : [empty_carrier(boole_POSet(_269482))], (983 ^ _240406) ^ [] : [-(reflexive_relstr(boole_POSet(_269482)))], (991 ^ _240406) ^ [] : [-(upper_bounded_relstr(boole_POSet(_269482)))], (985 ^ _240406) ^ [] : [-(transitive_relstr(boole_POSet(_269482)))], (1011 ^ _240406) ^ [] : [-(with_infima_relstr(boole_POSet(_269482)))], (1001 ^ _240406) ^ [] : [-(distributive_relstr(boole_POSet(_269482)))], (979 ^ _240406) ^ [] : [trivial_carrier(boole_POSet(_269482))], (1013 ^ _240406) ^ [] : [-(complete_relstr(boole_POSet(_269482)))], (1005 ^ _240406) ^ [] : [-(complemented_relstr(boole_POSet(_269482)))], (1003 ^ _240406) ^ [] : [-(heyting_relstr(boole_POSet(_269482)))], (989 ^ _240406) ^ [] : [-(lower_bounded_relstr(boole_POSet(_269482)))], (981 ^ _240406) ^ [] : [-(strict_rel_str(boole_POSet(_269482)))], (997 ^ _240406) ^ [] : [-(join_complete_relstr(boole_POSet(_269482)))], (1007 ^ _240406) ^ [] : [-(boolean_relstr(boole_POSet(_269482)))]]], (1307 ^ _240406) ^ [] : [-(with_suprema_relstr(1295 ^ []))], (30 ^ _240406) ^ [_241449, _241451] : [-(up_complete_relstr(_241449)), _241451 = _241449, up_complete_relstr(_241451)], (448 ^ _240406) ^ [_254531, _254533] : [_254533 = _254531, -(the_carrier(_254533) = the_carrier(_254531))], (945 ^ _240406) ^ [_268530] : [-(antisymmetric_relstr(boole_POSet(_268530)))], (1511 ^ _240406) ^ [_286944] : [-(empty_carrier(_286944)), reflexive_relstr(_286944), transitive_relstr(_286944), antisymmetric_relstr(_286944), lower_bounded_relstr(_286944), rel_str(_286944), 1534 ^ _240406 : [(1535 ^ _240406) ^ [_287530] : [-(empty(_287530)), filtered_subset(_287530, _286944), upper_relstr_subset(_287530, _286944), element(_287530, powerset(the_carrier(_286944))), 1550 ^ _240406 : [(1557 ^ _240406) ^ [] : [-(in(bottom_of_relstr(_286944), _287530)), -(proper_element(_287530, powerset(the_carrier(_286944))))], (1551 ^ _240406) ^ [] : [proper_element(_287530, powerset(the_carrier(_286944))), in(bottom_of_relstr(_286944), _287530)]]]]], (848 ^ _240406) ^ [_265614] : [-(strict_rel_str(boole_POSet(_265614)))], (1301 ^ _240406) ^ [] : [-(reflexive_relstr(1295 ^ []))], (1033 ^ _240406) ^ [_271559] : [-(reflexive_relstr(boole_POSet(_271559)))], (1285 ^ _240406) ^ [_279573] : [-(element(1283 ^ [_279573], powerset(_279573)))], (1081 ^ _240406) ^ [_273173] : [-(join_complete_relstr(boole_POSet(_273173)))], (454 ^ _240406) ^ [_254729, _254731] : [_254731 = _254729, -(boole_POSet(_254731) = boole_POSet(_254729))], (1263 ^ _240406) ^ [] : [empty_carrier(1259 ^ [])], (1191 ^ _240406) ^ [] : [-(empty(1189 ^ []))], (1043 ^ _240406) ^ [_271905] : [-(reflexive_relstr(boole_POSet(_271905)))], (1489 ^ _240406) ^ [_286272] : [empty(_286272), -(_286272 = empty_set)], (1171 ^ _240406) ^ [] : [empty(1169 ^ [])], (2 ^ _240406) ^ [_240530] : [-(_240530 = _240530)], (1282 ^ _240406) ^ [] : [-(relation(1278 ^ []))], (1168 ^ _240406) ^ [] : [-(join_complete_relstr(1140 ^ []))], (270 ^ _240406) ^ [_248716, _248718] : [-(empty_carrier(_248716)), _248718 = _248716, empty_carrier(_248718)], (652 ^ _240406) ^ [_260167] : [empty(_260167), -(relation(_260167))], (858 ^ _240406) ^ [] : [true___, -(true___)], (574 ^ _240406) ^ [_258092] : [rel_str(_258092), 593 ^ _240406 : [(596 ^ _240406) ^ [] : [-(reflexive_relstr(_258092))], (598 ^ _240406) ^ [] : [-(antisymmetric_relstr(_258092))], (600 ^ _240406) ^ [] : [-(with_infima_relstr(_258092))], (594 ^ _240406) ^ [] : [empty_carrier(_258092)]], -(empty_carrier(_258092)), reflexive_relstr(_258092), antisymmetric_relstr(_258092), join_complete_relstr(_258092)], (1261 ^ _240406) ^ [] : [-(rel_str(1259 ^ []))], (460 ^ _240406) ^ [_254964] : [rel_str(_254964), strict_rel_str(_254964), -(_254964 = rel_str_of(the_carrier(_254964), the_InternalRel(_254964)))], (442 ^ _240406) ^ [_254313, _254315] : [_254315 = _254313, -(powerset(_254315) = powerset(_254313))], (1150 ^ _240406) ^ [] : [-(transitive_relstr(1140 ^ []))], (220 ^ _240406) ^ [_247110, _247112, _247114, _247116, _247118, _247120] : [-(relation_of2_as_subset(_247118, _247114, _247110)), relation_of2_as_subset(_247120, _247116, _247112), _247120 = _247118, _247116 = _247114, _247112 = _247110], (909 ^ _240406) ^ [] : [-(empty(empty_set))], (947 ^ _240406) ^ [_268595] : [-(lower_bounded_relstr(boole_POSet(_268595)))], (1479 ^ _240406) ^ [_285976, _285978, _285980] : [in(_285980, _285978), element(_285978, powerset(_285976)), empty(_285976)], (1166 ^ _240406) ^ [] : [-(up_complete_relstr(1140 ^ []))]], input).
% 53.90/52.18  ncf('1',plain,[-(filtered_subset(1565 ^ [], boole_POSet(1562 ^ [])))],start(1569 ^ 0)).
% 53.90/52.18  ncf('1.1',plain,[filtered_subset(1565 ^ [], boole_POSet(1562 ^ [])), 1535 : -(empty(1565 ^ [])), 1535 : upper_relstr_subset(1565 ^ [], boole_POSet(1562 ^ [])), 1535 : element(1565 ^ [], powerset(the_carrier(boole_POSet(1562 ^ [])))), 1551 : proper_element(1565 ^ [], powerset(the_carrier(boole_POSet(1562 ^ [])))), 1551 : in(bottom_of_relstr(boole_POSet(1562 ^ [])), 1565 ^ []), 1535 : -(empty_carrier(boole_POSet(1562 ^ []))), 1535 : reflexive_relstr(boole_POSet(1562 ^ [])), 1535 : transitive_relstr(boole_POSet(1562 ^ [])), 1535 : antisymmetric_relstr(boole_POSet(1562 ^ [])), 1535 : lower_bounded_relstr(boole_POSet(1562 ^ [])), 1535 : rel_str(boole_POSet(1562 ^ []))],extension(1511 ^ 1,bind([[_286944, _287530], [boole_POSet(1562 ^ []), 1565 ^ []]]))).
% 53.90/52.18  ncf('1.1.1',plain,[empty(1565 ^ [])],extension(1567 ^ 4)).
% 53.90/52.18  ncf('1.1.2',plain,[-(upper_relstr_subset(1565 ^ [], boole_POSet(1562 ^ [])))],extension(1571 ^ 4)).
% 53.90/52.18  ncf('1.1.3',plain,[-(element(1565 ^ [], powerset(the_carrier(boole_POSet(1562 ^ [])))))],extension(1575 ^ 4)).
% 53.90/52.18  ncf('1.1.4',plain,[-(proper_element(1565 ^ [], powerset(the_carrier(boole_POSet(1562 ^ [])))))],extension(1573 ^ 6)).
% 53.90/52.18  ncf('1.1.5',plain,[-(in(bottom_of_relstr(boole_POSet(1562 ^ [])), 1565 ^ [])), in(1576 ^ [], 1565 ^ []), 1576 ^ [] = bottom_of_relstr(boole_POSet(1562 ^ [])), 1565 ^ [] = 1565 ^ []],extension(386 ^ 6,bind([[_252290, _252292, _252294, _252296], [1565 ^ [], 1565 ^ [], bottom_of_relstr(boole_POSet(1562 ^ [])), 1576 ^ []]]))).
% 53.90/52.18  ncf('1.1.5.1',plain,[-(in(1576 ^ [], 1565 ^ []))],extension(1578 ^ 7)).
% 53.90/52.18  ncf('1.1.5.2',plain,[-(1576 ^ [] = bottom_of_relstr(boole_POSet(1562 ^ []))), bottom_of_relstr(boole_POSet(1562 ^ [])) = 1576 ^ []],extension(4 ^ 7,bind([[_240637, _240639], [1576 ^ [], bottom_of_relstr(boole_POSet(1562 ^ []))]]))).
% 53.90/52.18  ncf('1.1.5.2.1',plain,[-(bottom_of_relstr(boole_POSet(1562 ^ [])) = 1576 ^ []), bottom_of_relstr(boole_POSet(1562 ^ [])) = empty_set, empty_set = 1576 ^ []],extension(10 ^ 8,bind([[_240841, _240843, _240845], [1576 ^ [], empty_set, bottom_of_relstr(boole_POSet(1562 ^ []))]]))).
% 53.90/52.18  ncf('1.1.5.2.1.1',plain,[-(bottom_of_relstr(boole_POSet(1562 ^ [])) = empty_set)],extension(1439 ^ 9,bind([[_284605], [1562 ^ []]]))).
% 53.90/52.18  ncf('1.1.5.2.1.2',plain,[-(empty_set = 1576 ^ []), empty(empty_set), empty(1576 ^ [])],extension(1501 ^ 9,bind([[_286681, _286683], [1576 ^ [], empty_set]]))).
% 53.90/52.18  ncf('1.1.5.2.1.2.1',plain,[-(empty(empty_set))],extension(1015 ^ 10)).
% 53.90/52.18  ncf('1.1.5.2.1.2.2',plain,[-(empty(1576 ^ []))],extension(1580 ^ 10)).
% 53.90/52.18  ncf('1.1.5.3',plain,[-(1565 ^ [] = 1565 ^ []), 1095 : rel_str_of(1565 ^ [], 899 ^ [1565 ^ [], 1565 ^ []]) = rel_str_of(1565 ^ [], 899 ^ [1565 ^ [], 1565 ^ []]), 1095 : relation_of2(899 ^ [1565 ^ [], 1565 ^ []], 1565 ^ [], 1565 ^ [])],extension(1091 ^ 7,bind([[_273548, _273550, _273718, _273720], [899 ^ [1565 ^ [], 1565 ^ []], 1565 ^ [], 899 ^ [1565 ^ [], 1565 ^ []], 1565 ^ []]]))).
% 53.90/52.18  ncf('1.1.5.3.1',plain,[-(rel_str_of(1565 ^ [], 899 ^ [1565 ^ [], 1565 ^ []]) = rel_str_of(1565 ^ [], 899 ^ [1565 ^ [], 1565 ^ []])), rel_str_of(1565 ^ [], 899 ^ [1565 ^ [], 1565 ^ []]) = rel_str_of(1565 ^ [], 899 ^ [1565 ^ [], 1565 ^ []])],extension(4 ^ 10,bind([[_240637, _240639], [rel_str_of(1565 ^ [], 899 ^ [1565 ^ [], 1565 ^ []]), rel_str_of(1565 ^ [], 899 ^ [1565 ^ [], 1565 ^ []])]]))).
% 53.90/52.18  ncf('1.1.5.3.1.1',plain,[-(rel_str_of(1565 ^ [], 899 ^ [1565 ^ [], 1565 ^ []]) = rel_str_of(1565 ^ [], 899 ^ [1565 ^ [], 1565 ^ []]))],extension(2 ^ 11,bind([[_240530], [rel_str_of(1565 ^ [], 899 ^ [1565 ^ [], 1565 ^ []])]]))).
% 53.90/52.18  ncf('1.1.5.3.2',plain,[-(relation_of2(899 ^ [1565 ^ [], 1565 ^ []], 1565 ^ [], 1565 ^ []))],extension(901 ^ 8,bind([[_267080, _267082], [1565 ^ [], 1565 ^ []]]))).
% 53.90/52.18  ncf('1.1.6',plain,[empty_carrier(boole_POSet(1562 ^ [])), rel_str(boole_POSet(1562 ^ [])), reflexive_relstr(boole_POSet(1562 ^ [])), with_suprema_relstr(boole_POSet(1562 ^ [])), up_complete_relstr(boole_POSet(1562 ^ []))],extension(792 ^ 2,bind([[_264114], [boole_POSet(1562 ^ [])]]))).
% 53.90/52.18  ncf('1.1.6.1',plain,[-(rel_str(boole_POSet(1562 ^ [])))],extension(850 ^ 3,bind([[_265659], [1562 ^ []]]))).
% 53.90/52.18  ncf('1.1.6.2',plain,[-(reflexive_relstr(boole_POSet(1562 ^ [])))],extension(1065 ^ 3,bind([[_272653], [1562 ^ []]]))).
% 53.90/52.18  ncf('1.1.6.3',plain,[-(with_suprema_relstr(boole_POSet(1562 ^ [])))],extension(967 ^ 3,bind([[_269244], [1562 ^ []]]))).
% 53.90/52.18  ncf('1.1.6.4',plain,[-(up_complete_relstr(boole_POSet(1562 ^ [])))],extension(1079 ^ 3,bind([[_273108], [1562 ^ []]]))).
% 53.90/52.18  ncf('1.1.7',plain,[-(reflexive_relstr(boole_POSet(1562 ^ [])))],extension(1065 ^ 2,bind([[_272653], [1562 ^ []]]))).
% 53.90/52.18  ncf('1.1.8',plain,[-(transitive_relstr(boole_POSet(1562 ^ [])))],extension(1035 ^ 2,bind([[_271624], [1562 ^ []]]))).
% 53.90/52.18  ncf('1.1.9',plain,[-(antisymmetric_relstr(boole_POSet(1562 ^ [])))],extension(1037 ^ 2,bind([[_271669], [1562 ^ []]]))).
% 53.90/52.18  ncf('1.1.10',plain,[-(lower_bounded_relstr(boole_POSet(1562 ^ []))), rel_str(boole_POSet(1562 ^ [])), bounded_relstr(boole_POSet(1562 ^ []))],extension(744 ^ 2,bind([[_262842], [boole_POSet(1562 ^ [])]]))).
% 53.90/52.18  ncf('1.1.10.1',plain,[-(rel_str(boole_POSet(1562 ^ [])))],extension(850 ^ 3,bind([[_265659], [1562 ^ []]]))).
% 53.90/52.18  ncf('1.1.10.2',plain,[-(bounded_relstr(boole_POSet(1562 ^ [])))],extension(951 ^ 3,bind([[_268725], [1562 ^ []]]))).
% 53.90/52.18  ncf('1.1.11',plain,[-(rel_str(boole_POSet(1562 ^ [])))],extension(850 ^ 2,bind([[_265659], [1562 ^ []]]))).
% 53.90/52.18  %-----------------------------------------------------
% 53.90/52.18  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------