%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU180+2 : 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 12:02:32 EDT 2023

% Result   : Theorem 43.39s 42.74s
% Output   : Proof 43.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU180+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % 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 13:18:03 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 43.39/42.74  
% 43.39/42.74  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 43.39/42.74  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.39/42.74  %-----------------------------------------------------
% 43.39/42.74  ncf(matrix, plain, [(1913 ^ _353724) ^ [] : [in(1905 ^ [], relation_field(1907 ^ [])), in(1906 ^ [], relation_field(1907 ^ []))], (1911 ^ _353724) ^ [] : [-(in(ordered_pair(1905 ^ [], 1906 ^ []), 1907 ^ []))], (1909 ^ _353724) ^ [] : [-(relation(1907 ^ []))], !, (1435 ^ _285833) ^ [_335931, _335933, _335935] : [-(subset(_335935, _335931)), subset(_335935, _335933), subset(_335933, _335931)], (270 ^ _285833) ^ [_295136, _295138, _295140, _295142] : [-(ordered_pair(_295142, _295138) = ordered_pair(_295140, _295136)), _295142 = _295140, _295138 = _295136], (1877 ^ _285833) ^ [_351438, _351440] : [in(_351438, 1863 ^ [_351440]), 1881 ^ _285833 : [(1884 ^ _285833) ^ [_351750] : [subset(_351750, _351438), -(in(_351750, 1880 ^ [_351438, _351440]))], (1882 ^ _285833) ^ [] : [-(in(1880 ^ [_351438, _351440], 1863 ^ [_351440]))]]], (912 ^ _285833) ^ [_318614, _318616] : [element(_318614, powerset(powerset(_318616))), 915 ^ _285833 : [(916 ^ _285833) ^ [_318794] : [element(_318794, powerset(powerset(_318616))), 919 ^ _285833 : [(920 ^ _285833) ^ [] : [_318794 = complements_of_subsets(_318616, _318614), 923 ^ _285833 : [(924 ^ _285833) ^ [_319082] : [element(_319082, powerset(_318616)), 927 ^ _285833 : [(934 ^ _285833) ^ [] : [in(subset_complement(_318616, _319082), _318614), -(in(_319082, _318794))], (928 ^ _285833) ^ [] : [in(_319082, _318794), -(in(subset_complement(_318616, _319082), _318614))]]]]], (940 ^ _285833) ^ [] : [-(_318794 = complements_of_subsets(_318616, _318614)), 942 ^ _285833 : [(945 ^ _285833) ^ [] : [946 ^ _285833 : [(949 ^ _285833) ^ [] : [in(subset_complement(_318616, 941 ^ [_318614, _318616, _318794]), _318614)], (947 ^ _285833) ^ [] : [-(in(941 ^ [_318614, _318616, _318794], _318794))]], 950 ^ _285833 : [(953 ^ _285833) ^ [] : [in(941 ^ [_318614, _318616, _318794], _318794)], (951 ^ _285833) ^ [] : [-(in(subset_complement(_318616, 941 ^ [_318614, _318616, _318794]), _318614))]]], (943 ^ _285833) ^ [] : [-(element(941 ^ [_318614, _318616, _318794], powerset(_318616)))]]]]]]], (1481 ^ _285833) ^ [_337452, _337454, _337456] : [subset(_337456, _337454), -(subset(set_intersection2(_337456, _337452), set_intersection2(_337454, _337452)))], (1190 ^ _285833) ^ [_327094, _327096] : [in(_327096, _327094), -(subset(singleton(_327096), _327094))], (1856 ^ _285833) ^ [_350585, _350587] : [in(_350587, _350585), -(subset(_350587, union(_350585)))], (1284 ^ _285833) ^ [_330371] : [-(empty(_330371)), 1288 ^ _285833 : [(1291 ^ _285833) ^ [] : [empty(1287 ^ [_330371])], (1289 ^ _285833) ^ [] : [-(element(1287 ^ [_330371], powerset(_330371)))]]], (130 ^ _285833) ^ [_290081, _290083, _290085, _290087] : [-(cartesian_product2(_290087, _290083) = cartesian_product2(_290085, _290081)), _290087 = _290085, _290083 = _290081], (906 ^ _285833) ^ [_318396, _318398] : [set_intersection2(_318398, _318396) = empty_set, -(disjoint(_318398, _318396))], (1818 ^ _285833) ^ [_349333, _349335] : [disjoint(_349335, _349333), -(set_difference(_349335, _349333) = _349335)], (1166 ^ _285833) ^ [_326249, _326251] : [in(_326251, _326249), -(set_union2(singleton(_326251), _326249) = _326249)], (999 ^ _285833) ^ [] : [true___, -(true___)], (212 ^ _285833) ^ [_293046, _293048, _293050, _293052] : [-(subset_complement(_293052, _293048) = subset_complement(_293050, _293046)), _293052 = _293050, _293048 = _293046], (537 ^ _285833) ^ [_304409, _304411, _304413] : [-(_304409 = unordered_pair(_304413, _304411)), 541 ^ _285833 : [(546 ^ _285833) ^ [] : [538 ^ [_304409, _304411, _304413] = _304411], (544 ^ _285833) ^ [] : [538 ^ [_304409, _304411, _304413] = _304413], (542 ^ _285833) ^ [] : [-(in(538 ^ [_304409, _304411, _304413], _304409))]], 547 ^ _285833 : [(548 ^ _285833) ^ [] : [-(538 ^ [_304409, _304411, _304413] = _304413), -(538 ^ [_304409, _304411, _304413] = _304411)], (554 ^ _285833) ^ [] : [in(538 ^ [_304409, _304411, _304413], _304409)]]], (172 ^ _285833) ^ [_291622, _291624, _291626, _291628, _291630, _291632] : [-(subset_difference(_291632, _291628, _291624) = subset_difference(_291630, _291626, _291622)), _291632 = _291630, _291628 = _291626, _291624 = _291622], (1493 ^ _285833) ^ [_337867] : [-(set_intersection2(_337867, empty_set) = empty_set)], (1106 ^ _285833) ^ [] : [-(empty(empty_set))], (2 ^ _285833) ^ [_285957] : [-(_285957 = _285957)], (483 ^ _285833) ^ [_302771, _302773] : [-(empty(_302773)), 486 ^ _285833 : [(493 ^ _285833) ^ [] : [in(_302771, _302773), -(element(_302771, _302773))], (487 ^ _285833) ^ [] : [element(_302771, _302773), -(in(_302771, _302773))]]], (1252 ^ _285833) ^ [_329279, _329281, _329283, _329285] : [in(ordered_pair(_329285, _329283), cartesian_product2(_329281, _329279)), 1255 ^ _285833 : [(1258 ^ _285833) ^ [] : [-(in(_329283, _329279))], (1256 ^ _285833) ^ [] : [-(in(_329285, _329281))]]], (298 ^ _285833) ^ [_296162, _296164] : [-(unordered_pair(_296164, _296162) = unordered_pair(_296162, _296164))], (1108 ^ _285833) ^ [_324106, _324108] : [empty(ordered_pair(_324108, _324106))], (1556 ^ _285833) ^ [_340173, _340175] : [in(_340175, _340173), -(subset(singleton(_340175), _340173))], (1592 ^ _285833) ^ [_341392, _341394] : [1593 ^ _285833 : [(1596 ^ _285833) ^ [] : [_341394 = singleton(_341392)], (1594 ^ _285833) ^ [] : [_341394 = empty_set]], -(subset(_341394, singleton(_341392)))], (286 ^ _285833) ^ [_295755, _295757] : [in(_295757, _295755), in(_295755, _295757)], (1218 ^ _285833) ^ [_328105, _328107, _328109] : [subset(_328109, _328107), -(in(_328105, _328109)), -(subset(_328109, set_difference(_328107, singleton(_328105))))], (140 ^ _285833) ^ [_290412, _290414] : [_290414 = _290412, -(relation_dom(_290414) = relation_dom(_290412))], (1447 ^ _285833) ^ [_336307, _336309, _336311] : [relation(_336307), in(ordered_pair(_336311, _336309), _336307), 1454 ^ _285833 : [(1457 ^ _285833) ^ [] : [-(in(_336309, relation_rng(_336307)))], (1455 ^ _285833) ^ [] : [-(in(_336311, relation_dom(_336307)))]]], (1748 ^ _285833) ^ [_346908, _346910, _346912] : [element(_346908, powerset(_346912)), in(_346910, subset_complement(_346912, _346908)), in(_346910, _346908)], (965 ^ _285833) ^ [_320443, _320445] : [-(proper_subset(_320445, _320443)), subset(_320445, _320443), -(_320445 = _320443)], (72 ^ _285833) ^ [_288236, _288238, _288240, _288242] : [-(subset(_288240, _288236)), subset(_288242, _288238), _288242 = _288240, _288238 = _288236], (1228 ^ _285833) ^ [_328454, _328456] : [subset(_328456, singleton(_328454)), -(_328456 = empty_set), -(_328456 = singleton(_328454))], (1389 ^ _285833) ^ [_334345, _334347, _334349] : [-(in(_334345, 1385 ^ [_334349])), in(_334347, 1385 ^ [_334349]), subset(_334345, _334347)], (1049 ^ _285833) ^ [] : [true___, -(true___)], (1328 ^ _285833) ^ [_331992, _331994] : [disjoint(_331994, _331992), -(disjoint(_331992, _331994))], (515 ^ _285833) ^ [_303684, _303686, _303688] : [_303684 = unordered_pair(_303688, _303686), 518 ^ _285833 : [(519 ^ _285833) ^ [_303866] : [in(_303866, _303684), -(_303866 = _303688), -(_303866 = _303686)], (529 ^ _285833) ^ [_304144] : [530 ^ _285833 : [(533 ^ _285833) ^ [] : [_304144 = _303686], (531 ^ _285833) ^ [] : [_304144 = _303688]], -(in(_304144, _303684))]]], (806 ^ _285833) ^ [_314733, _314735, _314737] : [_314733 = set_difference(_314737, _314735), 809 ^ _285833 : [(818 ^ _285833) ^ [_315177] : [-(in(_315177, _314733)), in(_315177, _314737), -(in(_315177, _314735))], (810 ^ _285833) ^ [_314917] : [in(_314917, _314733), 813 ^ _285833 : [(816 ^ _285833) ^ [] : [in(_314917, _314735)], (814 ^ _285833) ^ [] : [-(in(_314917, _314737))]]]]], (1600 ^ _285833) ^ [_341657] : [-(set_difference(_341657, empty_set) = _341657)], (1202 ^ _285833) ^ [_327507, _327509] : [subset(_327509, _327507), -(set_difference(_327509, _327507) = empty_set)], (248 ^ _285833) ^ [_294313, _294315] : [_294315 = _294313, -(powerset(_294315) = powerset(_294313))], (1693 ^ _285833) ^ [_344917, _344919] : [element(_344917, powerset(powerset(_344919))), -(_344917 = empty_set), -(union_of_subsets(_344919, complements_of_subsets(_344919, _344917)) = subset_difference(_344919, cast_to_subset(_344919), meet_of_subsets(_344919, _344917)))], (1683 ^ _285833) ^ [_344577, _344579] : [element(_344577, powerset(powerset(_344579))), -(_344577 = empty_set), -(subset_difference(_344579, cast_to_subset(_344579), union_of_subsets(_344579, _344577)) = meet_of_subsets(_344579, complements_of_subsets(_344579, _344577)))], (679 ^ _285833) ^ [_309970, _309972, _309974] : [_309970 = set_intersection2(_309974, _309972), 682 ^ _285833 : [(691 ^ _285833) ^ [_310411] : [-(in(_310411, _309970)), in(_310411, _309974), in(_310411, _309972)], (683 ^ _285833) ^ [_310152] : [in(_310152, _309970), 686 ^ _285833 : [(689 ^ _285833) ^ [] : [-(in(_310152, _309972))], (687 ^ _285833) ^ [] : [-(in(_310152, _309974))]]]]], (1110 ^ _285833) ^ [_324217, _324219] : [-(relation(set_union2(_324219, _324217))), relation(_324219), relation(_324217)], (1270 ^ _285833) ^ [_329877, _329879] : [1272 ^ _285833 : [(1275 ^ _285833) ^ [] : [in(1271 ^ [_329877, _329879], _329877)], (1273 ^ _285833) ^ [] : [-(in(1271 ^ [_329877, _329879], _329879))]], -(element(_329879, powerset(_329877)))], (660 ^ _285833) ^ [_309256, _309258] : [subset(_309258, _309256), 663 ^ _285833 : [(664 ^ _285833) ^ [_309393] : [in(_309393, _309258), -(in(_309393, _309256))]]], (1705 ^ _285833) ^ [_345331] : [-(set_difference(empty_set, _345331) = empty_set)], (631 ^ _285833) ^ [_307979, _307981, _307983] : [-(_307979 = cartesian_product2(_307983, _307981)), 649 ^ _285833 : [(652 ^ _285833) ^ [] : [-(in(648 ^ [_307979, _307981, _307983], _307981))], (654 ^ _285833) ^ [] : [-(632 ^ [_307979, _307981, _307983] = ordered_pair(647 ^ [_307979, _307981, _307983], 648 ^ [_307979, _307981, _307983]))], (656 ^ _285833) ^ [] : [in(632 ^ [_307979, _307981, _307983], _307979)], (650 ^ _285833) ^ [] : [-(in(647 ^ [_307979, _307981, _307983], _307983))]], 635 ^ _285833 : [(638 ^ _285833) ^ [_308317, _308319] : [in(_308319, _307983), in(_308317, _307981), 632 ^ [_307979, _307981, _307983] = ordered_pair(_308319, _308317)], (636 ^ _285833) ^ [] : [-(in(632 ^ [_307979, _307981, _307983], _307979))]]], (100 ^ _285833) ^ [_289096, _289098] : [-(relation(_289096)), _289098 = _289096, relation(_289098)], (1661 ^ _285833) ^ [_343818, _343820] : [subset(_343820, _343818), -(_343818 = set_union2(_343820, set_difference(_343818, _343820)))], (1156 ^ _285833) ^ [_325847, _325849] : [element(_325847, powerset(powerset(_325849))), -(complements_of_subsets(_325849, complements_of_subsets(_325849, _325847)) = _325847)], (1784 ^ _285833) ^ [_348113, _348115] : [set_difference(_348115, singleton(_348113)) = _348115, in(_348113, _348115)], (86 ^ _285833) ^ [_288680, _288682, _288684, _288686] : [-(are_equipotent(_288684, _288680)), are_equipotent(_288686, _288682), _288686 = _288684, _288682 = _288680], (292 ^ _285833) ^ [_295966, _295968] : [proper_subset(_295968, _295966), proper_subset(_295966, _295968)], (1459 ^ _285833) ^ [_336691] : [relation(_336691), -(subset(_336691, cartesian_product2(relation_dom(_336691), relation_rng(_336691))))], (62 ^ _285833) ^ [_287913, _287915] : [-(empty(_287913)), _287915 = _287913, empty(_287915)], (48 ^ _285833) ^ [_287497, _287499, _287501, _287503] : [-(disjoint(_287501, _287497)), disjoint(_287503, _287499), _287503 = _287501, _287499 = _287497], (1724 ^ _285833) ^ [_346023, _346025] : [1725 ^ _285833 : [(1726 ^ _285833) ^ [_346096] : [in(_346096, set_intersection2(_346025, _346023))]], disjoint(_346025, _346023)], (1304 ^ _285833) ^ [_331097, _331099] : [element(_331097, powerset(powerset(_331099))), -(union_of_subsets(_331099, _331097) = union(_331097))], (20 ^ _285833) ^ [_286609, _286611, _286613, _286615] : [-(element(_286613, _286609)), element(_286615, _286611), _286615 = _286613, _286611 = _286609], (1804 ^ _285833) ^ [_348782, _348784] : [subset(singleton(_348784), singleton(_348782)), -(_348784 = _348782)], (1538 ^ _285833) ^ [_339592, _339594] : [set_difference(_339594, _339592) = empty_set, -(subset(_339594, _339592))], (304 ^ _285833) ^ [_296506, _296508] : [_296508 = _296506, 307 ^ _285833 : [(310 ^ _285833) ^ [] : [-(subset(_296506, _296508))], (308 ^ _285833) ^ [] : [-(subset(_296508, _296506))]]], (1208 ^ _285833) ^ [_327725, _327727] : [element(_327725, powerset(_327727)), 1211 ^ _285833 : [(1212 ^ _285833) ^ [_327866] : [in(_327866, _327725), -(in(_327866, _327727))]]], (1297 ^ _285833) ^ [_330843] : [-(element(1295 ^ [_330843], powerset(_330843)))], (1890 ^ _285833) ^ [_351957, _351959] : [subset(_351957, 1863 ^ [_351959]), -(are_equipotent(_351957, 1863 ^ [_351959])), -(in(_351957, 1863 ^ [_351959]))], (300 ^ _285833) ^ [_296262, _296264] : [-(set_union2(_296264, _296262) = set_union2(_296262, _296264))], (1850 ^ _285833) ^ [_350359, _350361, _350363] : [singleton(_350363) = unordered_pair(_350361, _350359), -(_350363 = _350361)], (1387 ^ _285833) ^ [_334233] : [-(in(_334233, 1385 ^ [_334233]))], (392 ^ _285833) ^ [_299655, _299657] : [_299657 = empty_set, 395 ^ _285833 : [(402 ^ _285833) ^ [] : [_299655 = empty_set, -(_299655 = set_meet(_299657))], (396 ^ _285833) ^ [] : [_299655 = set_meet(_299657), -(_299655 = empty_set)]]], (1602 ^ _285833) ^ [_341796, _341798] : [element(_341798, powerset(_341796)), -(subset(_341798, _341796))], (1717 ^ _285833) ^ [_345788, _345790] : [-(disjoint(_345790, _345788)), -(in(1720 ^ [_345788, _345790], set_intersection2(_345790, _345788)))], (1544 ^ _285833) ^ [_339760, _339762] : [subset(_339762, _339760), -(set_difference(_339762, _339760) = empty_set)], (1570 ^ _285833) ^ [_340683, _340685, _340687] : [-(subset(unordered_pair(_340687, _340685), _340683)), in(_340687, _340683), in(_340685, _340683)], (1487 ^ _285833) ^ [_337680, _337682] : [subset(_337682, _337680), -(set_intersection2(_337682, _337680) = _337682)], (468 ^ _285833) ^ [_302215, _302217] : [-(_302215 = powerset(_302217)), 472 ^ _285833 : [(475 ^ _285833) ^ [] : [subset(469 ^ [_302215, _302217], _302217)], (473 ^ _285833) ^ [] : [-(in(469 ^ [_302215, _302217], _302215))]], 476 ^ _285833 : [(479 ^ _285833) ^ [] : [in(469 ^ [_302215, _302217], _302215)], (477 ^ _285833) ^ [] : [-(subset(469 ^ [_302215, _302217], _302217))]]], (1867 ^ _285833) ^ [_351123, _351125, _351127] : [-(in(_351123, 1863 ^ [_351127])), in(_351125, 1863 ^ [_351127]), subset(_351123, _351125)], (1417 ^ _285833) ^ [_335311, _335313, _335315] : [-(subset(_335315, set_intersection2(_335313, _335311))), subset(_335315, _335313), subset(_335315, _335311)], (1005 ^ _285833) ^ [] : [true___, -(true___)], (580 ^ _285833) ^ [_305928, _305930, _305932] : [-(_305928 = set_union2(_305932, _305930)), 584 ^ _285833 : [(589 ^ _285833) ^ [] : [in(581 ^ [_305928, _305930, _305932], _305930)], (587 ^ _285833) ^ [] : [in(581 ^ [_305928, _305930, _305932], _305932)], (585 ^ _285833) ^ [] : [-(in(581 ^ [_305928, _305930, _305932], _305928))]], 590 ^ _285833 : [(591 ^ _285833) ^ [] : [-(in(581 ^ [_305928, _305930, _305932], _305932)), -(in(581 ^ [_305928, _305930, _305932], _305930))], (597 ^ _285833) ^ [] : [in(581 ^ [_305928, _305930, _305932], _305928)]]], (4 ^ _285833) ^ [_286064, _286066] : [_286066 = _286064, -(_286064 = _286066)], (1061 ^ _285833) ^ [] : [true___, -(true___)], (1840 ^ _285833) ^ [_350030, _350032, _350034] : [-(subset(set_union2(_350034, _350030), _350032)), subset(_350034, _350032), subset(_350030, _350032)], (1830 ^ _285833) ^ [_349719, _349721] : [empty(_349721), -(_349721 = _349719), empty(_349719)], (1019 ^ _285833) ^ [] : [true___, -(true___)], (1089 ^ _285833) ^ [_323518, _323520] : [element(_323518, powerset(powerset(_323520))), -(element(complements_of_subsets(_323520, _323518), powerset(powerset(_323520))))], (439 ^ _285833) ^ [_301224] : [_301224 = empty_set, 442 ^ _285833 : [(443 ^ _285833) ^ [_301337] : [in(_301337, _301224)]]], (1730 ^ _285833) ^ [_346248] : [-(_346248 = empty_set), 1733 ^ _285833 : [(1734 ^ _285833) ^ [_346408] : [element(_346408, powerset(_346248)), 1737 ^ _285833 : [(1738 ^ _285833) ^ [_346562] : [element(_346562, _346248), -(in(_346562, _346408)), -(in(_346562, subset_complement(_346248, _346408)))]]]]], (1196 ^ _285833) ^ [_327339, _327341] : [set_difference(_327341, _327339) = empty_set, -(subset(_327341, _327339))], (601 ^ _285833) ^ [_306722, _306724, _306726] : [_306722 = cartesian_product2(_306726, _306724), 604 ^ _285833 : [(617 ^ _285833) ^ [_307483] : [-(in(_307483, _306722)), 618 ^ _285833 : [(619 ^ _285833) ^ [_307613, _307615] : [in(_307615, _306726), in(_307613, _306724), _307483 = ordered_pair(_307615, _307613)]]], (605 ^ _285833) ^ [_306923] : [in(_306923, _306722), 610 ^ _285833 : [(615 ^ _285833) ^ [] : [-(_306923 = ordered_pair(608 ^ [_306722, _306724, _306726, _306923], 609 ^ [_306722, _306724, _306726, _306923]))], (613 ^ _285833) ^ [] : [-(in(609 ^ [_306722, _306724, _306726, _306923], _306724))], (611 ^ _285833) ^ [] : [-(in(608 ^ [_306722, _306724, _306726, _306923], _306726))]]]]], (1164 ^ _285833) ^ [_326140] : [singleton(_326140) = empty_set], (1580 ^ _285833) ^ [_340985, _340987] : [-(set_union2(_340987, set_difference(_340985, _340987)) = set_union2(_340987, _340985))], (886 ^ _285833) ^ [_317662, _317664] : [element(_317662, powerset(_317664)), -(subset_complement(_317664, _317662) = set_difference(_317664, _317662))], (1862 ^ _285833) ^ [_350770] : [-(union(powerset(_350770)) = _350770)], (1465 ^ _285833) ^ [_336893] : [relation(_336893), 1468 ^ _285833 : [(1469 ^ _285833) ^ [_337043] : [relation(_337043), subset(_336893, _337043), 1476 ^ _285833 : [(1479 ^ _285833) ^ [] : [-(subset(relation_rng(_336893), relation_rng(_337043)))], (1477 ^ _285833) ^ [] : [-(subset(relation_dom(_336893), relation_dom(_337043)))]]]]], (1865 ^ _285833) ^ [_351011] : [-(in(_351011, 1863 ^ [_351011]))], (900 ^ _285833) ^ [_318228, _318230] : [disjoint(_318230, _318228), -(set_intersection2(_318230, _318228) = empty_set)], (152 ^ _285833) ^ [_290876, _290878, _290880, _290882] : [-(union_of_subsets(_290882, _290878) = union_of_subsets(_290880, _290876)), _290882 = _290880, _290878 = _290876], (1122 ^ _285833) ^ [_324594, _324596] : [-(empty(_324596)), empty(set_union2(_324596, _324594))], (993 ^ _285833) ^ [] : [true___, -(true___)], (1399 ^ _285833) ^ [_334660, _334662] : [in(_334660, 1385 ^ [_334662]), -(in(powerset(_334660), 1385 ^ [_334662]))], (784 ^ _285833) ^ [_313843, _313845] : [-(_313843 = union(_313845)), 797 ^ _285833 : [(802 ^ _285833) ^ [] : [in(785 ^ [_313843, _313845], _313843)], (800 ^ _285833) ^ [] : [-(in(796 ^ [_313843, _313845], _313845))], (798 ^ _285833) ^ [] : [-(in(785 ^ [_313843, _313845], 796 ^ [_313843, _313845]))]], 788 ^ _285833 : [(791 ^ _285833) ^ [_314126] : [in(785 ^ [_313843, _313845], _314126), in(_314126, _313845)], (789 ^ _285833) ^ [] : [-(in(785 ^ [_313843, _313845], _313843))]]], (1641 ^ _285833) ^ [_343168, _343170] : [element(_343168, powerset(_343170)), 1644 ^ _285833 : [(1645 ^ _285833) ^ [_343320] : [element(_343320, powerset(_343170)), 1648 ^ _285833 : [(1655 ^ _285833) ^ [] : [subset(_343168, subset_complement(_343170, _343320)), -(disjoint(_343168, _343320))], (1649 ^ _285833) ^ [] : [disjoint(_343168, _343320), -(subset(_343168, subset_complement(_343170, _343320)))]]]]], (1031 ^ _285833) ^ [] : [true___, -(true___)], (987 ^ _285833) ^ [] : [true___, -(true___)], (1316 ^ _285833) ^ [_331567, _331569, _331571] : [-(subset_difference(_331571, _331569, _331567) = set_difference(_331569, _331567)), element(_331569, powerset(_331571)), element(_331567, powerset(_331571))], (1280 ^ _285833) ^ [] : [-(empty(1278 ^ []))], (146 ^ _285833) ^ [_290630, _290632] : [_290632 = _290630, -(relation_rng(_290632) = relation_rng(_290630))], (1520 ^ _285833) ^ [_338776] : [-(subset(empty_set, _338776))], (1798 ^ _285833) ^ [_348580] : [empty(_348580), -(_348580 = empty_set)], (1238 ^ _285833) ^ [_328714, _328716] : [1239 ^ _285833 : [(1242 ^ _285833) ^ [] : [_328716 = singleton(_328714)], (1240 ^ _285833) ^ [] : [_328716 = empty_set]], -(subset(_328716, singleton(_328714)))], (1128 ^ _285833) ^ [_324794, _324796] : [empty(unordered_pair(_324796, _324794))], (192 ^ _285833) ^ [_292328, _292330, _292332, _292334] : [-(meet_of_subsets(_292334, _292330) = meet_of_subsets(_292332, _292328)), _292334 = _292332, _292330 = _292328], (1667 ^ _285833) ^ [_344040, _344042] : [element(_344040, powerset(powerset(_344042))), -(_344040 = empty_set), complements_of_subsets(_344042, _344040) = empty_set], (1172 ^ _285833) ^ [_326469, _326471] : [disjoint(singleton(_326471), _326469), in(_326471, _326469)], (1260 ^ _285833) ^ [_329544, _329546, _329548, _329550] : [-(in(ordered_pair(_329550, _329548), cartesian_product2(_329546, _329544))), in(_329550, _329546), in(_329548, _329544)], (1352 ^ _285833) ^ [_332885, _332887, _332889, _332891] : [unordered_pair(_332891, _332889) = unordered_pair(_332887, _332885), -(_332891 = _332887), -(_332891 = _332885)], (302 ^ _285833) ^ [_296362, _296364] : [-(set_intersection2(_296364, _296362) = set_intersection2(_296362, _296364))], (1707 ^ _285833) ^ [_345455, _345457, _345459] : [-(element(_345459, _345455)), in(_345459, _345457), element(_345457, powerset(_345455))], (34 ^ _285833) ^ [_287053, _287055, _287057, _287059] : [-(proper_subset(_287057, _287053)), proper_subset(_287059, _287055), _287059 = _287057, _287055 = _287053], (1427 ^ _285833) ^ [_335597] : [-(set_union2(_335597, empty_set) = _335597)], (759 ^ _285833) ^ [_312860] : [-(cast_to_subset(_312860) = _312860)], (1370 ^ _285833) ^ [_333580, _333582, _333584, _333586] : [-(subset(cartesian_product2(_333586, _333582), cartesian_product2(_333584, _333580))), subset(_333586, _333584), subset(_333582, _333580)], (1073 ^ _285833) ^ [_322947, _322949] : [element(_322947, powerset(powerset(_322949))), -(element(meet_of_subsets(_322949, _322947), powerset(_322949)))], (1582 ^ _285833) ^ [_341132, _341134] : [subset(_341134, singleton(_341132)), -(_341134 = empty_set), -(_341134 = singleton(_341132))], (1150 ^ _285833) ^ [_325621, _325623] : [element(_325621, powerset(_325623)), -(subset_complement(_325623, subset_complement(_325623, _325621)) = _325621)], (202 ^ _285833) ^ [_292687, _292689, _292691, _292693] : [-(set_intersection2(_292693, _292689) = set_intersection2(_292691, _292687)), _292693 = _292691, _292689 = _292687], (981 ^ _285833) ^ [] : [true___, -(true___)], (445 ^ _285833) ^ [_301403] : [-(in(446 ^ [_301403], _301403)), -(_301403 = empty_set)], (701 ^ _285833) ^ [_310695, _310697, _310699] : [-(_310695 = set_intersection2(_310699, _310697)), 713 ^ _285833 : [(718 ^ _285833) ^ [] : [in(702 ^ [_310695, _310697, _310699], _310695)], (716 ^ _285833) ^ [] : [-(in(702 ^ [_310695, _310697, _310699], _310697))], (714 ^ _285833) ^ [] : [-(in(702 ^ [_310695, _310697, _310699], _310699))]], 705 ^ _285833 : [(708 ^ _285833) ^ [] : [in(702 ^ [_310695, _310697, _310699], _310699), in(702 ^ [_310695, _310697, _310699], _310697)], (706 ^ _285833) ^ [] : [-(in(702 ^ [_310695, _310697, _310699], _310695))]]], (1025 ^ _285833) ^ [] : [true___, -(true___)], (722 ^ _285833) ^ [_311434] : [relation(_311434), 725 ^ _285833 : [(726 ^ _285833) ^ [_311615] : [_311615 = relation_dom(_311434), 729 ^ _285833 : [(737 ^ _285833) ^ [_312039] : [738 ^ _285833 : [(739 ^ _285833) ^ [_312118] : [in(ordered_pair(_312039, _312118), _311434)]], -(in(_312039, _311615))], (730 ^ _285833) ^ [_311795] : [in(_311795, _311615), -(in(ordered_pair(_311795, 733 ^ [_311434, _311615, _311795]), _311434))]]], (743 ^ _285833) ^ [_312246] : [-(_312246 = relation_dom(_311434)), 747 ^ _285833 : [(750 ^ _285833) ^ [_312509] : [in(ordered_pair(744 ^ [_311434, _312246], _312509), _311434)], (748 ^ _285833) ^ [] : [-(in(744 ^ [_311434, _312246], _312246))]], 752 ^ _285833 : [(755 ^ _285833) ^ [] : [in(744 ^ [_311434, _312246], _312246)], (753 ^ _285833) ^ [] : [-(in(ordered_pair(744 ^ [_311434, _312246], 751 ^ [_311434, _312246]), _311434))]]]]], (1282 ^ _285833) ^ [] : [-(relation(1278 ^ []))], (1758 ^ _285833) ^ [_347242, _347244, _347246] : [in(_347246, _347244), element(_347244, powerset(_347242)), empty(_347242)], (1639 ^ _285833) ^ [_343050, _343052] : [-(set_difference(set_union2(_343052, _343050), _343050) = set_difference(_343052, _343050))], (1810 ^ _285833) ^ [_349000, _349002] : [in(_349002, _349000), empty(_349000)], (280 ^ _285833) ^ [_295447, _295449] : [_295449 = _295447, -(relation_field(_295449) = relation_field(_295447))], (424 ^ _285833) ^ [_300673, _300675] : [-(_300673 = singleton(_300675)), 428 ^ _285833 : [(431 ^ _285833) ^ [] : [425 ^ [_300673, _300675] = _300675], (429 ^ _285833) ^ [] : [-(in(425 ^ [_300673, _300675], _300673))]], 432 ^ _285833 : [(435 ^ _285833) ^ [] : [in(425 ^ [_300673, _300675], _300673)], (433 ^ _285833) ^ [] : [-(425 ^ [_300673, _300675] = _300675)]]], (1067 ^ _285833) ^ [_322719, _322721] : [element(_322719, powerset(powerset(_322721))), -(element(union_of_subsets(_322721, _322719), powerset(_322721)))], (1445 ^ _285833) ^ [] : [-(powerset(empty_set) = singleton(empty_set))], (1162 ^ _285833) ^ [_326061, _326063] : [proper_subset(_326063, _326063)], (1415 ^ _285833) ^ [_335185, _335187] : [-(subset(set_intersection2(_335187, _335185), _335187))], (1136 ^ _285833) ^ [_325121, _325123] : [empty(cartesian_product2(_325123, _325121)), -(empty(_325123)), -(empty(_325121))], (162 ^ _285833) ^ [_291235, _291237, _291239, _291241] : [-(complements_of_subsets(_291241, _291237) = complements_of_subsets(_291239, _291235)), _291241 = _291239, _291237 = _291235], (1043 ^ _285833) ^ [] : [true___, -(true___)], (1342 ^ _285833) ^ [_332524, _332526, _332528, _332530] : [-(in(ordered_pair(_332530, _332528), cartesian_product2(_332526, _332524))), in(_332530, _332526), in(_332528, _332524)], (322 ^ _285833) ^ [_297059] : [relation(_297059), 325 ^ _285833 : [(326 ^ _285833) ^ [_297207] : [in(_297207, _297059), -(_297207 = ordered_pair(329 ^ [_297059, _297207], 330 ^ [_297059, _297207]))]]], (761 ^ _285833) ^ [_312998, _313000] : [_312998 = union(_313000), 764 ^ _285833 : [(774 ^ _285833) ^ [_313506] : [-(in(_313506, _312998)), 775 ^ _285833 : [(776 ^ _285833) ^ [_313604] : [in(_313506, _313604), in(_313604, _313000)]]], (765 ^ _285833) ^ [_313179] : [in(_313179, _312998), 769 ^ _285833 : [(772 ^ _285833) ^ [] : [-(in(768 ^ [_312998, _313000, _313179], _313000))], (770 ^ _285833) ^ [] : [-(in(_313179, 768 ^ [_312998, _313000, _313179]))]]]]], (222 ^ _285833) ^ [_293405, _293407, _293409, _293411] : [-(set_difference(_293411, _293407) = set_difference(_293409, _293405)), _293411 = _293409, _293407 = _293405], (1633 ^ _285833) ^ [_342861] : [subset(_342861, empty_set), -(_342861 = empty_set)], (670 ^ _285833) ^ [_309570, _309572] : [672 ^ _285833 : [(675 ^ _285833) ^ [] : [in(671 ^ [_309570, _309572], _309570)], (673 ^ _285833) ^ [] : [-(in(671 ^ [_309570, _309572], _309572))]], -(subset(_309572, _309570))], (1522 ^ _285833) ^ [_338897, _338899, _338901] : [subset(_338901, _338899), -(subset(set_difference(_338901, _338897), set_difference(_338899, _338897)))], (1623 ^ _285833) ^ [_342512, _342514] : [disjoint(_342514, _342512), 1624 ^ _285833 : [(1625 ^ _285833) ^ [_342604] : [in(_342604, _342514), in(_342604, _342512)]]], (260 ^ _285833) ^ [_294777, _294779, _294781, _294783] : [-(unordered_pair(_294783, _294779) = unordered_pair(_294781, _294777)), _294783 = _294781, _294779 = _294777], (1796 ^ _285833) ^ [_348482] : [-(unordered_pair(_348482, _348482) = singleton(_348482))], (232 ^ _285833) ^ [_293764, _293766, _293768, _293770] : [-(set_union2(_293770, _293766) = set_union2(_293768, _293764)), _293770 = _293768, _293766 = _293764], (1608 ^ _285833) ^ [_341962, _341964] : [subset(_341964, _341962), -(element(_341964, powerset(_341962)))], (1334 ^ _285833) ^ [_332259, _332261, _332263, _332265] : [in(ordered_pair(_332265, _332263), cartesian_product2(_332261, _332259)), 1337 ^ _285833 : [(1340 ^ _285833) ^ [] : [-(in(_332263, _332259))], (1338 ^ _285833) ^ [] : [-(in(_332265, _332261))]]], (1310 ^ _285833) ^ [_331325, _331327] : [element(_331325, powerset(powerset(_331327))), -(meet_of_subsets(_331327, _331325) = set_meet(_331325))], (1055 ^ _285833) ^ [] : [true___, -(true___)], (1429 ^ _285833) ^ [_335707, _335709] : [in(_335709, _335707), -(element(_335709, _335707))], (1562 ^ _285833) ^ [_340432, _340434, _340436] : [subset(unordered_pair(_340436, _340434), _340432), 1565 ^ _285833 : [(1568 ^ _285833) ^ [] : [-(in(_340434, _340432))], (1566 ^ _285833) ^ [] : [-(in(_340436, _340432))]]], (1013 ^ _285833) ^ [] : [true___, -(true___)], (892 ^ _285833) ^ [_317873, _317875] : [-(ordered_pair(_317875, _317873) = unordered_pair(unordered_pair(_317875, _317873), singleton(_317875)))], (1824 ^ _285833) ^ [_349501, _349503] : [set_difference(_349503, _349501) = _349503, -(disjoint(_349503, _349501))], (975 ^ _285833) ^ [] : [true___, -(true___)], (1505 ^ _285833) ^ [_338275, _338277] : [-(_338277 = _338275), 1509 ^ _285833 : [(1512 ^ _285833) ^ [] : [in(1506 ^ [_338275, _338277], _338275)], (1510 ^ _285833) ^ [] : [-(in(1506 ^ [_338275, _338277], _338277))]], 1513 ^ _285833 : [(1516 ^ _285833) ^ [] : [in(1506 ^ [_338275, _338277], _338277)], (1514 ^ _285833) ^ [] : [-(in(1506 ^ [_338275, _338277], _338275))]]], (957 ^ _285833) ^ [_320205, _320207] : [proper_subset(_320207, _320205), 960 ^ _285833 : [(963 ^ _285833) ^ [] : [_320207 = _320205], (961 ^ _285833) ^ [] : [-(subset(_320207, _320205))]]], (1362 ^ _285833) ^ [_333235, _333237, _333239] : [subset(_333239, _333237), 1365 ^ _285833 : [(1368 ^ _285833) ^ [] : [-(subset(cartesian_product2(_333235, _333239), cartesian_product2(_333235, _333237)))], (1366 ^ _285833) ^ [] : [-(subset(cartesian_product2(_333239, _333235), cartesian_product2(_333237, _333235)))]]], (1774 ^ _285833) ^ [_347775, _347777, _347779] : [-(disjoint(_347779, _347775)), subset(_347779, _347777), disjoint(_347777, _347775)], (1900 ^ _285833) ^ [_352291, _352293, _352295] : [singleton(_352295) = unordered_pair(_352293, _352291), -(_352293 = _352291)], (1104 ^ _285833) ^ [_323961] : [empty(powerset(_323961))], (186 ^ _285833) ^ [_292082, _292084] : [_292084 = _292082, -(cast_to_subset(_292084) = cast_to_subset(_292082))], (1246 ^ _285833) ^ [_329008, _329010] : [in(_329010, _329008), -(subset(_329010, union(_329008)))], (1528 ^ _285833) ^ [_339153, _339155, _339157, _339159] : [ordered_pair(_339159, _339157) = ordered_pair(_339155, _339153), 1531 ^ _285833 : [(1534 ^ _285833) ^ [] : [-(_339157 = _339153)], (1532 ^ _285833) ^ [] : [-(_339159 = _339155)]]], (110 ^ _285833) ^ [_289399, _289401, _289403, _289405] : [-(in(_289403, _289399)), in(_289405, _289401), _289405 = _289403, _289401 = _289399], (558 ^ _285833) ^ [_305203, _305205, _305207] : [_305203 = set_union2(_305207, _305205), 561 ^ _285833 : [(562 ^ _285833) ^ [_305385] : [in(_305385, _305203), -(in(_305385, _305207)), -(in(_305385, _305205))], (572 ^ _285833) ^ [_305663] : [573 ^ _285833 : [(576 ^ _285833) ^ [] : [in(_305663, _305205)], (574 ^ _285833) ^ [] : [in(_305663, _305207)]], -(in(_305663, _305203))]]], (894 ^ _285833) ^ [_317979] : [relation(_317979), -(relation_field(_317979) = set_union2(relation_dom(_317979), relation_rng(_317979)))], (1614 ^ _285833) ^ [_342198, _342200] : [-(disjoint(_342200, _342198)), 1618 ^ _285833 : [(1621 ^ _285833) ^ [] : [-(in(1617 ^ [_342198, _342200], _342198))], (1619 ^ _285833) ^ [] : [-(in(1617 ^ [_342198, _342200], _342200))]]], (1178 ^ _285833) ^ [_326682, _326684] : [-(in(_326684, _326682)), -(disjoint(singleton(_326684), _326682))], (849 ^ _285833) ^ [_316207] : [relation(_316207), 852 ^ _285833 : [(853 ^ _285833) ^ [_316388] : [_316388 = relation_rng(_316207), 856 ^ _285833 : [(864 ^ _285833) ^ [_316812] : [865 ^ _285833 : [(866 ^ _285833) ^ [_316891] : [in(ordered_pair(_316891, _316812), _316207)]], -(in(_316812, _316388))], (857 ^ _285833) ^ [_316568] : [in(_316568, _316388), -(in(ordered_pair(860 ^ [_316207, _316388, _316568], _316568), _316207))]]], (870 ^ _285833) ^ [_317019] : [-(_317019 = relation_rng(_316207)), 874 ^ _285833 : [(877 ^ _285833) ^ [_317282] : [in(ordered_pair(_317282, 871 ^ [_316207, _317019]), _316207)], (875 ^ _285833) ^ [] : [-(in(871 ^ [_316207, _317019], _317019))]], 879 ^ _285833 : [(882 ^ _285833) ^ [] : [in(871 ^ [_316207, _317019], _317019)], (880 ^ _285833) ^ [] : [-(in(ordered_pair(878 ^ [_316207, _317019], 871 ^ [_316207, _317019]), _316207))]]]]], (1326 ^ _285833) ^ [_331883, _331885] : [-(subset(_331885, _331885))], (1146 ^ _285833) ^ [_325412, _325414] : [-(set_union2(_325414, _325414) = _325414)], (1302 ^ _285833) ^ [] : [empty(1300 ^ [])], (1120 ^ _285833) ^ [_324486] : [empty(singleton(_324486))], (10 ^ _285833) ^ [_286268, _286270, _286272] : [-(_286272 = _286268), _286272 = _286270, _286270 = _286268], (343 ^ _285833) ^ [_297948, _297950] : [-(_297950 = empty_set), 346 ^ _285833 : [(347 ^ _285833) ^ [] : [_297948 = set_meet(_297950), 350 ^ _285833 : [(351 ^ _285833) ^ [_298246] : [in(_298246, _297948), 354 ^ _285833 : [(355 ^ _285833) ^ [_298391] : [in(_298391, _297950), -(in(_298246, _298391))]]], (361 ^ _285833) ^ [_298576] : [363 ^ _285833 : [(366 ^ _285833) ^ [] : [in(_298576, 362 ^ [_297948, _297950, _298576])], (364 ^ _285833) ^ [] : [-(in(362 ^ [_297948, _297950, _298576], _297950))]], -(in(_298576, _297948))]]], (370 ^ _285833) ^ [] : [-(_297948 = set_meet(_297950)), 374 ^ _285833 : [(380 ^ _285833) ^ [] : [in(371 ^ [_297948, _297950], 376 ^ [_297948, _297950])], (378 ^ _285833) ^ [] : [-(in(376 ^ [_297948, _297950], _297950))], (375 ^ _285833) ^ [] : [-(in(371 ^ [_297948, _297950], _297948))]], 381 ^ _285833 : [(382 ^ _285833) ^ [_299350] : [in(_299350, _297950), -(in(371 ^ [_297948, _297950], _299350))], (388 ^ _285833) ^ [] : [in(371 ^ [_297948, _297950], _297948)]]]]], (452 ^ _285833) ^ [_301694, _301696] : [_301694 = powerset(_301696), 455 ^ _285833 : [(462 ^ _285833) ^ [_302036] : [subset(_302036, _301696), -(in(_302036, _301694))], (456 ^ _285833) ^ [_301864] : [in(_301864, _301694), -(subset(_301864, _301696))]]], (828 ^ _285833) ^ [_315464, _315466, _315468] : [-(_315464 = set_difference(_315468, _315466)), 840 ^ _285833 : [(845 ^ _285833) ^ [] : [in(829 ^ [_315464, _315466, _315468], _315464)], (843 ^ _285833) ^ [] : [in(829 ^ [_315464, _315466, _315468], _315466)], (841 ^ _285833) ^ [] : [-(in(829 ^ [_315464, _315466, _315468], _315468))]], 832 ^ _285833 : [(835 ^ _285833) ^ [] : [in(829 ^ [_315464, _315466, _315468], _315468), -(in(829 ^ [_315464, _315466, _315468], _315466))], (833 ^ _285833) ^ [] : [-(in(829 ^ [_315464, _315466, _315468], _315464))]]], (1294 ^ _285833) ^ [] : [-(empty(1292 ^ []))], (242 ^ _285833) ^ [_294095, _294097] : [_294097 = _294095, -(union(_294097) = union(_294095))], (1550 ^ _285833) ^ [_340007, _340009] : [subset(singleton(_340009), _340007), -(in(_340009, _340007))], (1405 ^ _285833) ^ [_334860, _334862] : [subset(_334860, 1385 ^ [_334862]), -(are_equipotent(_334860, 1385 ^ [_334862])), -(in(_334860, 1385 ^ [_334862]))], (1079 ^ _285833) ^ [_323189, _323191, _323193] : [-(element(subset_difference(_323193, _323191, _323189), powerset(_323193))), element(_323191, powerset(_323193)), element(_323189, powerset(_323193))], (1299 ^ _285833) ^ [_330894] : [-(empty(1295 ^ [_330894]))], (1130 ^ _285833) ^ [_324905, _324907] : [-(empty(_324907)), empty(set_union2(_324905, _324907))], (254 ^ _285833) ^ [_294531, _294533] : [_294533 = _294531, -(singleton(_294533) = singleton(_294531))], (1095 ^ _285833) ^ [] : [true___, -(true___)], (1037 ^ _285833) ^ [_322019, _322021] : [element(_322019, powerset(_322021)), -(element(subset_complement(_322021, _322019), powerset(_322021)))], (334 ^ _285833) ^ [_297520] : [336 ^ _285833 : [(339 ^ _285833) ^ [_297757, _297759] : [335 ^ [_297520] = ordered_pair(_297759, _297757)], (337 ^ _285833) ^ [] : [-(in(335 ^ [_297520], _297520))]], -(relation(_297520))], (1536 ^ _285833) ^ [_339451, _339453] : [-(subset(set_difference(_339453, _339451), _339453))], (1816 ^ _285833) ^ [_349192, _349194] : [-(subset(_349194, set_union2(_349194, _349192)))], (1790 ^ _285833) ^ [_348286, _348288] : [-(in(_348286, _348288)), -(set_difference(_348288, singleton(_348286)) = _348288)], (1703 ^ _285833) ^ [_345242, _345244] : [-(set_difference(_345244, set_difference(_345244, _345242)) = set_intersection2(_345244, _345242))], (312 ^ _285833) ^ [_296743, _296745] : [-(_296745 = _296743), subset(_296745, _296743), subset(_296743, _296745)], (1148 ^ _285833) ^ [_325509, _325511] : [-(set_intersection2(_325511, _325511) = _325511)], (1380 ^ _285833) ^ [_333911, _333913] : [subset(_333913, _333911), -(set_union2(_333913, _333911) = _333911)], (1768 ^ _285833) ^ [_347552, _347554] : [subset(_347554, _347552), proper_subset(_347552, _347554)], (1184 ^ _285833) ^ [_326928, _326930] : [subset(singleton(_326930), _326928), -(in(_326930, _326928))], (499 ^ _285833) ^ [_303184, _303186] : [empty(_303186), 502 ^ _285833 : [(509 ^ _285833) ^ [] : [empty(_303184), -(element(_303184, _303186))], (503 ^ _285833) ^ [] : [element(_303184, _303186), -(empty(_303184))]]], (1102 ^ _285833) ^ [_323879] : [-(element(1100 ^ [_323879], _323879))], (1011 ^ _285833) ^ [_321432] : [-(element(cast_to_subset(_321432), powerset(_321432)))], (1677 ^ _285833) ^ [_344357, _344359] : [in(_344359, _344357), -(set_union2(singleton(_344359), _344357) = _344357)], (1495 ^ _285833) ^ [_337977, _337979] : [element(_337979, _337977), -(empty(_337977)), -(in(_337979, _337977))], (124 ^ _285833) ^ [_289835, _289837] : [_289837 = _289835, -(set_meet(_289837) = set_meet(_289835))], (408 ^ _285833) ^ [_300152, _300154] : [_300152 = singleton(_300154), 411 ^ _285833 : [(418 ^ _285833) ^ [_300494] : [_300494 = _300154, -(in(_300494, _300152))], (412 ^ _285833) ^ [_300322] : [in(_300322, _300152), -(_300322 = _300154)]]]], input).
% 43.39/42.74  ncf('1',plain,[in(1905 ^ [], relation_field(1907 ^ [])), in(1906 ^ [], relation_field(1907 ^ []))],start(1913 ^ 0)).
% 43.39/42.74  ncf('1.1',plain,[-(in(1905 ^ [], relation_field(1907 ^ []))), 574 : in(1905 ^ [], relation_dom(1907 ^ [])), 572 : relation_field(1907 ^ []) = set_union2(relation_dom(1907 ^ []), relation_rng(1907 ^ []))],extension(558 ^ 1,bind([[_305203, _305205, _305207, _305663], [relation_field(1907 ^ []), relation_rng(1907 ^ []), relation_dom(1907 ^ []), 1905 ^ []]]))).
% 43.39/42.74  ncf('1.1.1',plain,[-(in(1905 ^ [], relation_dom(1907 ^ []))), relation(1907 ^ []), in(ordered_pair(1905 ^ [], 1906 ^ []), 1907 ^ [])],extension(1447 ^ 6,bind([[_336307, _336309, _336311], [1907 ^ [], 1906 ^ [], 1905 ^ []]]))).
% 43.39/42.74  ncf('1.1.1.1',plain,[-(relation(1907 ^ []))],extension(1909 ^ 7)).
% 43.39/42.74  ncf('1.1.1.2',plain,[-(in(ordered_pair(1905 ^ [], 1906 ^ []), 1907 ^ []))],extension(1911 ^ 7)).
% 43.39/42.74  ncf('1.1.2',plain,[-(relation_field(1907 ^ []) = set_union2(relation_dom(1907 ^ []), relation_rng(1907 ^ []))), relation(1907 ^ [])],extension(894 ^ 2,bind([[_317979], [1907 ^ []]]))).
% 43.39/42.74  ncf('1.1.2.1',plain,[-(relation(1907 ^ []))],extension(1909 ^ 3)).
% 43.39/42.74  ncf('1.2',plain,[-(in(1906 ^ [], relation_field(1907 ^ []))), 576 : in(1906 ^ [], relation_rng(1907 ^ [])), 572 : relation_field(1907 ^ []) = set_union2(relation_dom(1907 ^ []), relation_rng(1907 ^ []))],extension(558 ^ 1,bind([[_305203, _305205, _305207, _305663], [relation_field(1907 ^ []), relation_rng(1907 ^ []), relation_dom(1907 ^ []), 1906 ^ []]]))).
% 43.39/42.74  ncf('1.2.1',plain,[-(in(1906 ^ [], relation_rng(1907 ^ []))), relation(1907 ^ []), in(ordered_pair(1905 ^ [], 1906 ^ []), 1907 ^ [])],extension(1447 ^ 6,bind([[_336307, _336309, _336311], [1907 ^ [], 1906 ^ [], 1905 ^ []]]))).
% 43.39/42.74  ncf('1.2.1.1',plain,[-(relation(1907 ^ []))],extension(1909 ^ 7)).
% 43.39/42.74  ncf('1.2.1.2',plain,[-(in(ordered_pair(1905 ^ [], 1906 ^ []), 1907 ^ []))],extension(1911 ^ 7)).
% 43.39/42.74  ncf('1.2.2',plain,[-(relation_field(1907 ^ []) = set_union2(relation_dom(1907 ^ []), relation_rng(1907 ^ []))), relation(1907 ^ [])],extension(894 ^ 2,bind([[_317979], [1907 ^ []]]))).
% 43.39/42.74  ncf('1.2.2.1',plain,[-(relation(1907 ^ []))],extension(1909 ^ 3)).
% 43.39/42.74  %-----------------------------------------------------
% 43.39/42.74  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------