%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU195+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n002.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 12:02:36 EDT 2023

% Result   : Theorem 137.17s 132.07s
% Output   : Proof 137.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SEU195+2 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.11  % Command  : nanocop.sh %s %d
% 0.11/0.32  % Computer : n002.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May 18 12:59:04 EDT 2023
% 0.11/0.32  % CPUTime  : 
% 137.17/132.07  
% 137.17/132.07  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 137.17/132.07  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 137.17/132.07  %-----------------------------------------------------
% 137.17/132.07  ncf(matrix, plain, [(2493 ^ _343351) ^ [] : [-(relation(2491 ^ []))], (2495 ^ _343351) ^ [] : [relation_dom_restriction(2491 ^ [], 2490 ^ []) = relation_composition(identity_relation(2490 ^ []), 2491 ^ [])], (2 ^ _343351) ^ [_343495] : [-(_343495 = _343495)], (4 ^ _343351) ^ [_343602, _343604] : [_343604 = _343602, -(_343602 = _343604)], (10 ^ _343351) ^ [_343806, _343808, _343810] : [-(_343810 = _343806), _343810 = _343808, _343808 = _343806], (20 ^ _343351) ^ [_344147, _344149, _344151, _344153] : [-(element(_344151, _344147)), element(_344153, _344149), _344153 = _344151, _344149 = _344147], (34 ^ _343351) ^ [_344591, _344593, _344595, _344597] : [-(proper_subset(_344595, _344591)), proper_subset(_344597, _344593), _344597 = _344595, _344593 = _344591], (48 ^ _343351) ^ [_345035, _345037, _345039, _345041] : [-(disjoint(_345039, _345035)), disjoint(_345041, _345037), _345041 = _345039, _345037 = _345035], (62 ^ _343351) ^ [_345451, _345453] : [-(empty(_345451)), _345453 = _345451, empty(_345453)], (72 ^ _343351) ^ [_345774, _345776, _345778, _345780] : [-(subset(_345778, _345774)), subset(_345780, _345776), _345780 = _345778, _345776 = _345774], (86 ^ _343351) ^ [_346218, _346220, _346222, _346224] : [-(are_equipotent(_346222, _346218)), are_equipotent(_346224, _346220), _346224 = _346222, _346220 = _346218], (114 ^ _343351) ^ [_347058, _347060] : [-(relation(_347058)), _347060 = _347058, relation(_347060)], (100 ^ _343351) ^ [_346662, _346664, _346666, _346668] : [-(in(_346666, _346662)), in(_346668, _346664), _346668 = _346666, _346664 = _346662], (124 ^ _343351) ^ [_347373, _347375] : [_347375 = _347373, -(set_meet(_347375) = set_meet(_347373))], (130 ^ _343351) ^ [_347619, _347621, _347623, _347625] : [-(cartesian_product2(_347625, _347621) = cartesian_product2(_347623, _347619)), _347625 = _347623, _347621 = _347619], (140 ^ _343351) ^ [_347950, _347952] : [_347952 = _347950, -(relation_field(_347952) = relation_field(_347950))], (146 ^ _343351) ^ [_348168, _348170] : [_348170 = _348168, -(relation_inverse(_348170) = relation_inverse(_348168))], (152 ^ _343351) ^ [_348414, _348416, _348418, _348420] : [-(union_of_subsets(_348420, _348416) = union_of_subsets(_348418, _348414)), _348420 = _348418, _348416 = _348414], (162 ^ _343351) ^ [_348773, _348775, _348777, _348779] : [-(complements_of_subsets(_348779, _348775) = complements_of_subsets(_348777, _348773)), _348779 = _348777, _348775 = _348773], (172 ^ _343351) ^ [_349160, _349162, _349164, _349166, _349168, _349170] : [-(subset_difference(_349170, _349166, _349162) = subset_difference(_349168, _349164, _349160)), _349170 = _349168, _349166 = _349164, _349162 = _349160], (186 ^ _343351) ^ [_349620, _349622] : [_349622 = _349620, -(cast_to_subset(_349622) = cast_to_subset(_349620))], (192 ^ _343351) ^ [_349866, _349868, _349870, _349872] : [-(meet_of_subsets(_349872, _349868) = meet_of_subsets(_349870, _349866)), _349872 = _349870, _349868 = _349866], (202 ^ _343351) ^ [_350225, _350227, _350229, _350231] : [-(subset_complement(_350231, _350227) = subset_complement(_350229, _350225)), _350231 = _350229, _350227 = _350225], (212 ^ _343351) ^ [_350556, _350558] : [_350558 = _350556, -(relation_rng(_350558) = relation_rng(_350556))], (218 ^ _343351) ^ [_350802, _350804, _350806, _350808] : [-(ordered_pair(_350808, _350804) = ordered_pair(_350806, _350802)), _350808 = _350806, _350804 = _350802], (228 ^ _343351) ^ [_351161, _351163, _351165, _351167] : [-(set_difference(_351167, _351163) = set_difference(_351165, _351161)), _351167 = _351165, _351163 = _351161], (238 ^ _343351) ^ [_351520, _351522, _351524, _351526] : [-(set_union2(_351526, _351522) = set_union2(_351524, _351520)), _351526 = _351524, _351522 = _351520], (248 ^ _343351) ^ [_351879, _351881, _351883, _351885] : [-(set_intersection2(_351885, _351881) = set_intersection2(_351883, _351879)), _351885 = _351883, _351881 = _351879], (258 ^ _343351) ^ [_352210, _352212] : [_352212 = _352210, -(relation_dom(_352212) = relation_dom(_352210))], (264 ^ _343351) ^ [_352428, _352430] : [_352430 = _352428, -(union(_352430) = union(_352428))], (270 ^ _343351) ^ [_352646, _352648] : [_352648 = _352646, -(powerset(_352648) = powerset(_352646))], (276 ^ _343351) ^ [_352864, _352866] : [_352866 = _352864, -(singleton(_352866) = singleton(_352864))], (282 ^ _343351) ^ [_353110, _353112, _353114, _353116] : [-(unordered_pair(_353116, _353112) = unordered_pair(_353114, _353110)), _353116 = _353114, _353112 = _353110], (292 ^ _343351) ^ [_353469, _353471, _353473, _353475] : [-(relation_dom_restriction(_353475, _353471) = relation_dom_restriction(_353473, _353469)), _353475 = _353473, _353471 = _353469], (312 ^ _343351) ^ [_354139, _354141] : [_354141 = _354139, -(identity_relation(_354141) = identity_relation(_354139))], (302 ^ _343351) ^ [_353828, _353830, _353832, _353834] : [-(relation_composition(_353834, _353830) = relation_composition(_353832, _353828)), _353834 = _353832, _353830 = _353828], (318 ^ _343351) ^ [_354459, _354461] : [in(_354461, _354459), in(_354459, _354461)], (324 ^ _343351) ^ [_354670, _354672] : [proper_subset(_354672, _354670), proper_subset(_354670, _354672)], (330 ^ _343351) ^ [_354867] : [empty(_354867), -(relation(_354867))], (336 ^ _343351) ^ [_355052, _355054] : [-(unordered_pair(_355054, _355052) = unordered_pair(_355052, _355054))], (338 ^ _343351) ^ [_355152, _355154] : [-(set_union2(_355154, _355152) = set_union2(_355152, _355154))], (340 ^ _343351) ^ [_355252, _355254] : [-(set_intersection2(_355254, _355252) = set_intersection2(_355252, _355254))], (342 ^ _343351) ^ [_355367, _355369] : [relation(_355367), 345 ^ _343351 : [(368 ^ _343351) ^ [] : [-(_355367 = identity_relation(_355369)), 381 ^ _343351 : [(382 ^ _343351) ^ [] : [-(in(369 ^ [_355367, _355369], _355369))], (384 ^ _343351) ^ [] : [-(369 ^ [_355367, _355369] = 370 ^ [_355367, _355369])], (386 ^ _343351) ^ [] : [in(ordered_pair(369 ^ [_355367, _355369], 370 ^ [_355367, _355369]), _355367)]], 373 ^ _343351 : [(374 ^ _343351) ^ [] : [-(in(ordered_pair(369 ^ [_355367, _355369], 370 ^ [_355367, _355369]), _355367))], (376 ^ _343351) ^ [] : [in(369 ^ [_355367, _355369], _355369), 369 ^ [_355367, _355369] = 370 ^ [_355367, _355369]]]], (346 ^ _343351) ^ [] : [_355367 = identity_relation(_355369), 349 ^ _343351 : [(350 ^ _343351) ^ [_355677, _355679] : [in(ordered_pair(_355679, _355677), _355367), 353 ^ _343351 : [(354 ^ _343351) ^ [] : [-(in(_355679, _355369))], (356 ^ _343351) ^ [] : [-(_355679 = _355677)]]], (358 ^ _343351) ^ [_355940, _355942] : [-(in(ordered_pair(_355942, _355940), _355367)), in(_355942, _355369), _355942 = _355940]]]]], (390 ^ _343351) ^ [_357048, _357050] : [_357050 = _357048, 393 ^ _343351 : [(394 ^ _343351) ^ [] : [-(subset(_357050, _357048))], (396 ^ _343351) ^ [] : [-(subset(_357048, _357050))]]], (398 ^ _343351) ^ [_357285, _357287] : [-(_357287 = _357285), subset(_357287, _357285), subset(_357285, _357287)], (408 ^ _343351) ^ [_357572] : [relation(_357572), 411 ^ _343351 : [(412 ^ _343351) ^ [_357758, _357760] : [relation(_357758), 415 ^ _343351 : [(438 ^ _343351) ^ [] : [-(_357758 = relation_dom_restriction(_357572, _357760)), 451 ^ _343351 : [(452 ^ _343351) ^ [] : [-(in(439 ^ [_357572, _357758, _357760], _357760))], (454 ^ _343351) ^ [] : [-(in(ordered_pair(439 ^ [_357572, _357758, _357760], 440 ^ [_357572, _357758, _357760]), _357572))], (456 ^ _343351) ^ [] : [in(ordered_pair(439 ^ [_357572, _357758, _357760], 440 ^ [_357572, _357758, _357760]), _357758)]], 443 ^ _343351 : [(444 ^ _343351) ^ [] : [-(in(ordered_pair(439 ^ [_357572, _357758, _357760], 440 ^ [_357572, _357758, _357760]), _357758))], (446 ^ _343351) ^ [] : [in(439 ^ [_357572, _357758, _357760], _357760), in(ordered_pair(439 ^ [_357572, _357758, _357760], 440 ^ [_357572, _357758, _357760]), _357572)]]], (416 ^ _343351) ^ [] : [_357758 = relation_dom_restriction(_357572, _357760), 419 ^ _343351 : [(420 ^ _343351) ^ [_358083, _358085] : [in(ordered_pair(_358085, _358083), _357758), 423 ^ _343351 : [(424 ^ _343351) ^ [] : [-(in(_358085, _357760))], (426 ^ _343351) ^ [] : [-(in(ordered_pair(_358085, _358083), _357572))]]], (428 ^ _343351) ^ [_358362, _358364] : [-(in(ordered_pair(_358364, _358362), _357758)), in(_358364, _357760), in(ordered_pair(_358364, _358362), _357572)]]]]]]], (472 ^ _343351) ^ [_360007] : [474 ^ _343351 : [(475 ^ _343351) ^ [] : [-(in(473 ^ [_360007], _360007))], (477 ^ _343351) ^ [_360244, _360246] : [473 ^ [_360007] = ordered_pair(_360246, _360244)]], -(relation(_360007))], (460 ^ _343351) ^ [_359546] : [relation(_359546), 463 ^ _343351 : [(464 ^ _343351) ^ [_359694] : [in(_359694, _359546), -(_359694 = ordered_pair(467 ^ [_359546, _359694], 468 ^ [_359546, _359694]))]]], (530 ^ _343351) ^ [_362142, _362144] : [_362144 = empty_set, 533 ^ _343351 : [(534 ^ _343351) ^ [] : [_362142 = set_meet(_362144), -(_362142 = empty_set)], (540 ^ _343351) ^ [] : [_362142 = empty_set, -(_362142 = set_meet(_362144))]]], (481 ^ _343351) ^ [_360435, _360437] : [-(_360437 = empty_set), 484 ^ _343351 : [(508 ^ _343351) ^ [] : [-(_360435 = set_meet(_360437)), 512 ^ _343351 : [(513 ^ _343351) ^ [] : [-(in(509 ^ [_360435, _360437], _360435))], (516 ^ _343351) ^ [] : [-(in(514 ^ [_360435, _360437], _360437))], (518 ^ _343351) ^ [] : [in(509 ^ [_360435, _360437], 514 ^ [_360435, _360437])]], 519 ^ _343351 : [(526 ^ _343351) ^ [] : [in(509 ^ [_360435, _360437], _360435)], (520 ^ _343351) ^ [_361837] : [in(_361837, _360437), -(in(509 ^ [_360435, _360437], _361837))]]], (485 ^ _343351) ^ [] : [_360435 = set_meet(_360437), 488 ^ _343351 : [(499 ^ _343351) ^ [_361063] : [501 ^ _343351 : [(502 ^ _343351) ^ [] : [-(in(500 ^ [_360435, _360437, _361063], _360437))], (504 ^ _343351) ^ [] : [in(_361063, 500 ^ [_360435, _360437, _361063])]], -(in(_361063, _360435))], (489 ^ _343351) ^ [_360733] : [in(_360733, _360435), 492 ^ _343351 : [(493 ^ _343351) ^ [_360878] : [in(_360878, _360437), -(in(_360733, _360878))]]]]]]], (562 ^ _343351) ^ [_363160, _363162] : [-(_363160 = singleton(_363162)), 566 ^ _343351 : [(567 ^ _343351) ^ [] : [-(in(563 ^ [_363160, _363162], _363160))], (569 ^ _343351) ^ [] : [563 ^ [_363160, _363162] = _363162]], 570 ^ _343351 : [(571 ^ _343351) ^ [] : [-(563 ^ [_363160, _363162] = _363162)], (573 ^ _343351) ^ [] : [in(563 ^ [_363160, _363162], _363160)]]], (546 ^ _343351) ^ [_362639, _362641] : [_362639 = singleton(_362641), 549 ^ _343351 : [(550 ^ _343351) ^ [_362809] : [in(_362809, _362639), -(_362809 = _362641)], (556 ^ _343351) ^ [_362981] : [_362981 = _362641, -(in(_362981, _362639))]]], (577 ^ _343351) ^ [_363711] : [_363711 = empty_set, 580 ^ _343351 : [(581 ^ _343351) ^ [_363824] : [in(_363824, _363711)]]], (583 ^ _343351) ^ [_363890] : [-(in(584 ^ [_363890], _363890)), -(_363890 = empty_set)], (606 ^ _343351) ^ [_364702, _364704] : [-(_364702 = powerset(_364704)), 610 ^ _343351 : [(611 ^ _343351) ^ [] : [-(in(607 ^ [_364702, _364704], _364702))], (613 ^ _343351) ^ [] : [subset(607 ^ [_364702, _364704], _364704)]], 614 ^ _343351 : [(615 ^ _343351) ^ [] : [-(subset(607 ^ [_364702, _364704], _364704))], (617 ^ _343351) ^ [] : [in(607 ^ [_364702, _364704], _364702)]]], (590 ^ _343351) ^ [_364181, _364183] : [_364181 = powerset(_364183), 593 ^ _343351 : [(594 ^ _343351) ^ [_364351] : [in(_364351, _364181), -(subset(_364351, _364183))], (600 ^ _343351) ^ [_364523] : [subset(_364523, _364183), -(in(_364523, _364181))]]], (621 ^ _343351) ^ [_365224] : [relation(_365224), 624 ^ _343351 : [(625 ^ _343351) ^ [_365382] : [relation(_365382), 628 ^ _343351 : [(645 ^ _343351) ^ [] : [-(_365224 = _365382), 650 ^ _343351 : [(651 ^ _343351) ^ [] : [-(in(ordered_pair(646 ^ [_365224, _365382], 647 ^ [_365224, _365382]), _365224))], (653 ^ _343351) ^ [] : [in(ordered_pair(646 ^ [_365224, _365382], 647 ^ [_365224, _365382]), _365382)]], 654 ^ _343351 : [(655 ^ _343351) ^ [] : [-(in(ordered_pair(646 ^ [_365224, _365382], 647 ^ [_365224, _365382]), _365382))], (657 ^ _343351) ^ [] : [in(ordered_pair(646 ^ [_365224, _365382], 647 ^ [_365224, _365382]), _365224)]]], (629 ^ _343351) ^ [] : [_365224 = _365382, 632 ^ _343351 : [(633 ^ _343351) ^ [_365687, _365689] : [in(ordered_pair(_365689, _365687), _365224), -(in(ordered_pair(_365689, _365687), _365382))], (639 ^ _343351) ^ [_365877, _365879] : [in(ordered_pair(_365879, _365877), _365382), -(in(ordered_pair(_365879, _365877), _365224))]]]]]]], (661 ^ _343351) ^ [_366714, _366716] : [-(empty(_366716)), 664 ^ _343351 : [(665 ^ _343351) ^ [] : [element(_366714, _366716), -(in(_366714, _366716))], (671 ^ _343351) ^ [] : [in(_366714, _366716), -(element(_366714, _366716))]]], (677 ^ _343351) ^ [_367127, _367129] : [empty(_367129), 680 ^ _343351 : [(681 ^ _343351) ^ [] : [element(_367127, _367129), -(empty(_367127))], (687 ^ _343351) ^ [] : [empty(_367127), -(element(_367127, _367129))]]], (715 ^ _343351) ^ [_368352, _368354, _368356] : [-(_368352 = unordered_pair(_368356, _368354)), 719 ^ _343351 : [(720 ^ _343351) ^ [] : [-(in(716 ^ [_368352, _368354, _368356], _368352))], (722 ^ _343351) ^ [] : [716 ^ [_368352, _368354, _368356] = _368356], (724 ^ _343351) ^ [] : [716 ^ [_368352, _368354, _368356] = _368354]], 725 ^ _343351 : [(732 ^ _343351) ^ [] : [in(716 ^ [_368352, _368354, _368356], _368352)], (726 ^ _343351) ^ [] : [-(716 ^ [_368352, _368354, _368356] = _368356), -(716 ^ [_368352, _368354, _368356] = _368354)]]], (693 ^ _343351) ^ [_367627, _367629, _367631] : [_367627 = unordered_pair(_367631, _367629), 696 ^ _343351 : [(707 ^ _343351) ^ [_368087] : [708 ^ _343351 : [(709 ^ _343351) ^ [] : [_368087 = _367631], (711 ^ _343351) ^ [] : [_368087 = _367629]], -(in(_368087, _367627))], (697 ^ _343351) ^ [_367809] : [in(_367809, _367627), -(_367809 = _367631), -(_367809 = _367629)]]], (758 ^ _343351) ^ [_369871, _369873, _369875] : [-(_369871 = set_union2(_369875, _369873)), 762 ^ _343351 : [(763 ^ _343351) ^ [] : [-(in(759 ^ [_369871, _369873, _369875], _369871))], (765 ^ _343351) ^ [] : [in(759 ^ [_369871, _369873, _369875], _369875)], (767 ^ _343351) ^ [] : [in(759 ^ [_369871, _369873, _369875], _369873)]], 768 ^ _343351 : [(775 ^ _343351) ^ [] : [in(759 ^ [_369871, _369873, _369875], _369871)], (769 ^ _343351) ^ [] : [-(in(759 ^ [_369871, _369873, _369875], _369875)), -(in(759 ^ [_369871, _369873, _369875], _369873))]]], (736 ^ _343351) ^ [_369146, _369148, _369150] : [_369146 = set_union2(_369150, _369148), 739 ^ _343351 : [(750 ^ _343351) ^ [_369606] : [751 ^ _343351 : [(752 ^ _343351) ^ [] : [in(_369606, _369150)], (754 ^ _343351) ^ [] : [in(_369606, _369148)]], -(in(_369606, _369146))], (740 ^ _343351) ^ [_369328] : [in(_369328, _369146), -(in(_369328, _369150)), -(in(_369328, _369148))]]], (809 ^ _343351) ^ [_371922, _371924, _371926] : [-(_371922 = cartesian_product2(_371926, _371924)), 827 ^ _343351 : [(828 ^ _343351) ^ [] : [-(in(825 ^ [_371922, _371924, _371926], _371926))], (830 ^ _343351) ^ [] : [-(in(826 ^ [_371922, _371924, _371926], _371924))], (832 ^ _343351) ^ [] : [-(810 ^ [_371922, _371924, _371926] = ordered_pair(825 ^ [_371922, _371924, _371926], 826 ^ [_371922, _371924, _371926]))], (834 ^ _343351) ^ [] : [in(810 ^ [_371922, _371924, _371926], _371922)]], 813 ^ _343351 : [(814 ^ _343351) ^ [] : [-(in(810 ^ [_371922, _371924, _371926], _371922))], (816 ^ _343351) ^ [_372260, _372262] : [in(_372262, _371926), in(_372260, _371924), 810 ^ [_371922, _371924, _371926] = ordered_pair(_372262, _372260)]]], (779 ^ _343351) ^ [_370665, _370667, _370669] : [_370665 = cartesian_product2(_370669, _370667), 782 ^ _343351 : [(783 ^ _343351) ^ [_370866] : [in(_370866, _370665), 788 ^ _343351 : [(789 ^ _343351) ^ [] : [-(in(786 ^ [_370665, _370667, _370669, _370866], _370669))], (791 ^ _343351) ^ [] : [-(in(787 ^ [_370665, _370667, _370669, _370866], _370667))], (793 ^ _343351) ^ [] : [-(_370866 = ordered_pair(786 ^ [_370665, _370667, _370669, _370866], 787 ^ [_370665, _370667, _370669, _370866]))]]], (795 ^ _343351) ^ [_371426] : [-(in(_371426, _370665)), 796 ^ _343351 : [(797 ^ _343351) ^ [_371556, _371558] : [in(_371558, _370669), in(_371556, _370667), _371426 = ordered_pair(_371558, _371556)]]]]], (838 ^ _343351) ^ [_373156] : [relation(_373156), 841 ^ _343351 : [(842 ^ _343351) ^ [_373314] : [relation(_373314), 845 ^ _343351 : [(856 ^ _343351) ^ [] : [859 ^ _343351 : [(860 ^ _343351) ^ [] : [-(in(ordered_pair(857 ^ [_373156, _373314], 858 ^ [_373156, _373314]), _373156))], (862 ^ _343351) ^ [] : [in(ordered_pair(857 ^ [_373156, _373314], 858 ^ [_373156, _373314]), _373314)]], -(subset(_373156, _373314))], (846 ^ _343351) ^ [] : [subset(_373156, _373314), 849 ^ _343351 : [(850 ^ _343351) ^ [_373590, _373592] : [in(ordered_pair(_373592, _373590), _373156), -(in(ordered_pair(_373592, _373590), _373314))]]]]]]], (876 ^ _343351) ^ [_374553, _374555] : [878 ^ _343351 : [(879 ^ _343351) ^ [] : [-(in(877 ^ [_374553, _374555], _374555))], (881 ^ _343351) ^ [] : [in(877 ^ [_374553, _374555], _374553)]], -(subset(_374555, _374553))], (866 ^ _343351) ^ [_374239, _374241] : [subset(_374241, _374239), 869 ^ _343351 : [(870 ^ _343351) ^ [_374376] : [in(_374376, _374241), -(in(_374376, _374239))]]], (907 ^ _343351) ^ [_375678, _375680, _375682] : [-(_375678 = set_intersection2(_375682, _375680)), 919 ^ _343351 : [(920 ^ _343351) ^ [] : [-(in(908 ^ [_375678, _375680, _375682], _375682))], (922 ^ _343351) ^ [] : [-(in(908 ^ [_375678, _375680, _375682], _375680))], (924 ^ _343351) ^ [] : [in(908 ^ [_375678, _375680, _375682], _375678)]], 911 ^ _343351 : [(912 ^ _343351) ^ [] : [-(in(908 ^ [_375678, _375680, _375682], _375678))], (914 ^ _343351) ^ [] : [in(908 ^ [_375678, _375680, _375682], _375682), in(908 ^ [_375678, _375680, _375682], _375680)]]], (885 ^ _343351) ^ [_374953, _374955, _374957] : [_374953 = set_intersection2(_374957, _374955), 888 ^ _343351 : [(889 ^ _343351) ^ [_375135] : [in(_375135, _374953), 892 ^ _343351 : [(893 ^ _343351) ^ [] : [-(in(_375135, _374957))], (895 ^ _343351) ^ [] : [-(in(_375135, _374955))]]], (897 ^ _343351) ^ [_375394] : [-(in(_375394, _374953)), in(_375394, _374957), in(_375394, _374955)]]], (928 ^ _343351) ^ [_376417] : [relation(_376417), 931 ^ _343351 : [(949 ^ _343351) ^ [_377229] : [-(_377229 = relation_dom(_376417)), 953 ^ _343351 : [(954 ^ _343351) ^ [] : [-(in(950 ^ [_376417, _377229], _377229))], (956 ^ _343351) ^ [_377492] : [in(ordered_pair(950 ^ [_376417, _377229], _377492), _376417)]], 958 ^ _343351 : [(959 ^ _343351) ^ [] : [-(in(ordered_pair(950 ^ [_376417, _377229], 957 ^ [_376417, _377229]), _376417))], (961 ^ _343351) ^ [] : [in(950 ^ [_376417, _377229], _377229)]]], (932 ^ _343351) ^ [_376598] : [_376598 = relation_dom(_376417), 935 ^ _343351 : [(936 ^ _343351) ^ [_376778] : [in(_376778, _376598), -(in(ordered_pair(_376778, 939 ^ [_376417, _376598, _376778]), _376417))], (943 ^ _343351) ^ [_377022] : [944 ^ _343351 : [(945 ^ _343351) ^ [_377101] : [in(ordered_pair(_377022, _377101), _376417)]], -(in(_377022, _376598))]]]]], (965 ^ _343351) ^ [_377843] : [-(cast_to_subset(_377843) = _377843)], (990 ^ _343351) ^ [_378826, _378828] : [-(_378826 = union(_378828)), 1003 ^ _343351 : [(1004 ^ _343351) ^ [] : [-(in(991 ^ [_378826, _378828], 1002 ^ [_378826, _378828]))], (1006 ^ _343351) ^ [] : [-(in(1002 ^ [_378826, _378828], _378828))], (1008 ^ _343351) ^ [] : [in(991 ^ [_378826, _378828], _378826)]], 994 ^ _343351 : [(995 ^ _343351) ^ [] : [-(in(991 ^ [_378826, _378828], _378826))], (997 ^ _343351) ^ [_379109] : [in(991 ^ [_378826, _378828], _379109), in(_379109, _378828)]]], (967 ^ _343351) ^ [_377981, _377983] : [_377981 = union(_377983), 970 ^ _343351 : [(971 ^ _343351) ^ [_378162] : [in(_378162, _377981), 975 ^ _343351 : [(976 ^ _343351) ^ [] : [-(in(_378162, 974 ^ [_377981, _377983, _378162]))], (978 ^ _343351) ^ [] : [-(in(974 ^ [_377981, _377983, _378162], _377983))]]], (980 ^ _343351) ^ [_378489] : [-(in(_378489, _377981)), 981 ^ _343351 : [(982 ^ _343351) ^ [_378587] : [in(_378489, _378587), in(_378587, _377983)]]]]], (1034 ^ _343351) ^ [_380447, _380449, _380451] : [-(_380447 = set_difference(_380451, _380449)), 1046 ^ _343351 : [(1047 ^ _343351) ^ [] : [-(in(1035 ^ [_380447, _380449, _380451], _380451))], (1049 ^ _343351) ^ [] : [in(1035 ^ [_380447, _380449, _380451], _380449)], (1051 ^ _343351) ^ [] : [in(1035 ^ [_380447, _380449, _380451], _380447)]], 1038 ^ _343351 : [(1039 ^ _343351) ^ [] : [-(in(1035 ^ [_380447, _380449, _380451], _380447))], (1041 ^ _343351) ^ [] : [in(1035 ^ [_380447, _380449, _380451], _380451), -(in(1035 ^ [_380447, _380449, _380451], _380449))]]], (1012 ^ _343351) ^ [_379716, _379718, _379720] : [_379716 = set_difference(_379720, _379718), 1015 ^ _343351 : [(1016 ^ _343351) ^ [_379900] : [in(_379900, _379716), 1019 ^ _343351 : [(1020 ^ _343351) ^ [] : [-(in(_379900, _379720))], (1022 ^ _343351) ^ [] : [in(_379900, _379718)]]], (1024 ^ _343351) ^ [_380160] : [-(in(_380160, _379716)), in(_380160, _379720), -(in(_380160, _379718))]]], (1055 ^ _343351) ^ [_381190] : [relation(_381190), 1058 ^ _343351 : [(1076 ^ _343351) ^ [_382002] : [-(_382002 = relation_rng(_381190)), 1080 ^ _343351 : [(1081 ^ _343351) ^ [] : [-(in(1077 ^ [_381190, _382002], _382002))], (1083 ^ _343351) ^ [_382265] : [in(ordered_pair(_382265, 1077 ^ [_381190, _382002]), _381190)]], 1085 ^ _343351 : [(1086 ^ _343351) ^ [] : [-(in(ordered_pair(1084 ^ [_381190, _382002], 1077 ^ [_381190, _382002]), _381190))], (1088 ^ _343351) ^ [] : [in(1077 ^ [_381190, _382002], _382002)]]], (1059 ^ _343351) ^ [_381371] : [_381371 = relation_rng(_381190), 1062 ^ _343351 : [(1063 ^ _343351) ^ [_381551] : [in(_381551, _381371), -(in(ordered_pair(1066 ^ [_381190, _381371, _381551], _381551), _381190))], (1070 ^ _343351) ^ [_381795] : [1071 ^ _343351 : [(1072 ^ _343351) ^ [_381874] : [in(ordered_pair(_381874, _381795), _381190)]], -(in(_381795, _381371))]]]]], (1092 ^ _343351) ^ [_382645, _382647] : [element(_382645, powerset(_382647)), -(subset_complement(_382647, _382645) = set_difference(_382647, _382645))], (1098 ^ _343351) ^ [_382856, _382858] : [-(ordered_pair(_382858, _382856) = unordered_pair(unordered_pair(_382858, _382856), singleton(_382858)))], (1100 ^ _343351) ^ [_382962] : [relation(_382962), -(relation_field(_382962) = set_union2(relation_dom(_382962), relation_rng(_382962)))], (1106 ^ _343351) ^ [_383168] : [relation(_383168), 1109 ^ _343351 : [(1110 ^ _343351) ^ [_383328] : [relation(_383328), 1113 ^ _343351 : [(1130 ^ _343351) ^ [] : [-(_383328 = relation_inverse(_383168)), 1135 ^ _343351 : [(1136 ^ _343351) ^ [] : [-(in(ordered_pair(1131 ^ [_383168, _383328], 1132 ^ [_383168, _383328]), _383328))], (1138 ^ _343351) ^ [] : [in(ordered_pair(1132 ^ [_383168, _383328], 1131 ^ [_383168, _383328]), _383168)]], 1139 ^ _343351 : [(1140 ^ _343351) ^ [] : [-(in(ordered_pair(1132 ^ [_383168, _383328], 1131 ^ [_383168, _383328]), _383168))], (1142 ^ _343351) ^ [] : [in(ordered_pair(1131 ^ [_383168, _383328], 1132 ^ [_383168, _383328]), _383328)]]], (1114 ^ _343351) ^ [] : [_383328 = relation_inverse(_383168), 1117 ^ _343351 : [(1118 ^ _343351) ^ [_383637, _383639] : [in(ordered_pair(_383639, _383637), _383328), -(in(ordered_pair(_383637, _383639), _383168))], (1124 ^ _343351) ^ [_383827, _383829] : [in(ordered_pair(_383827, _383829), _383168), -(in(ordered_pair(_383829, _383827), _383328))]]]]]]], (1146 ^ _343351) ^ [_384675, _384677] : [disjoint(_384677, _384675), -(set_intersection2(_384677, _384675) = empty_set)], (1152 ^ _343351) ^ [_384843, _384845] : [set_intersection2(_384845, _384843) = empty_set, -(disjoint(_384845, _384843))], (1158 ^ _343351) ^ [_385047] : [relation(_385047), 1161 ^ _343351 : [(1162 ^ _343351) ^ [_385232] : [relation(_385232), 1165 ^ _343351 : [(1166 ^ _343351) ^ [_385413] : [relation(_385413), 1169 ^ _343351 : [(1193 ^ _343351) ^ [] : [-(_385413 = relation_composition(_385047, _385232)), 1207 ^ _343351 : [(1208 ^ _343351) ^ [] : [-(in(ordered_pair(1194 ^ [_385047, _385232, _385413], 1206 ^ [_385047, _385232, _385413]), _385047))], (1210 ^ _343351) ^ [] : [-(in(ordered_pair(1206 ^ [_385047, _385232, _385413], 1195 ^ [_385047, _385232, _385413]), _385232))], (1212 ^ _343351) ^ [] : [in(ordered_pair(1194 ^ [_385047, _385232, _385413], 1195 ^ [_385047, _385232, _385413]), _385413)]], 1198 ^ _343351 : [(1199 ^ _343351) ^ [] : [-(in(ordered_pair(1194 ^ [_385047, _385232, _385413], 1195 ^ [_385047, _385232, _385413]), _385413))], (1201 ^ _343351) ^ [_386877] : [in(ordered_pair(1194 ^ [_385047, _385232, _385413], _386877), _385047), in(ordered_pair(_386877, 1195 ^ [_385047, _385232, _385413]), _385232)]]], (1170 ^ _343351) ^ [] : [_385413 = relation_composition(_385047, _385232), 1173 ^ _343351 : [(1174 ^ _343351) ^ [_385748, _385750] : [in(ordered_pair(_385750, _385748), _385413), 1178 ^ _343351 : [(1179 ^ _343351) ^ [] : [-(in(ordered_pair(_385750, 1177 ^ [_385047, _385232, _385413, _385748, _385750]), _385047))], (1181 ^ _343351) ^ [] : [-(in(ordered_pair(1177 ^ [_385047, _385232, _385413, _385748, _385750], _385748), _385232))]]], (1183 ^ _343351) ^ [_386133, _386135] : [-(in(ordered_pair(_386135, _386133), _385413)), 1184 ^ _343351 : [(1185 ^ _343351) ^ [_386246] : [in(ordered_pair(_386135, _386246), _385047), in(ordered_pair(_386246, _386133), _385232)]]]]]]]]]]], (1216 ^ _343351) ^ [_387563, _387565] : [element(_387563, powerset(powerset(_387565))), 1219 ^ _343351 : [(1220 ^ _343351) ^ [_387743] : [element(_387743, powerset(powerset(_387565))), 1223 ^ _343351 : [(1244 ^ _343351) ^ [] : [-(_387743 = complements_of_subsets(_387565, _387563)), 1246 ^ _343351 : [(1247 ^ _343351) ^ [] : [-(element(1245 ^ [_387563, _387565, _387743], powerset(_387565)))], (1249 ^ _343351) ^ [] : [1250 ^ _343351 : [(1251 ^ _343351) ^ [] : [-(in(1245 ^ [_387563, _387565, _387743], _387743))], (1253 ^ _343351) ^ [] : [in(subset_complement(_387565, 1245 ^ [_387563, _387565, _387743]), _387563)]], 1254 ^ _343351 : [(1255 ^ _343351) ^ [] : [-(in(subset_complement(_387565, 1245 ^ [_387563, _387565, _387743]), _387563))], (1257 ^ _343351) ^ [] : [in(1245 ^ [_387563, _387565, _387743], _387743)]]]]], (1224 ^ _343351) ^ [] : [_387743 = complements_of_subsets(_387565, _387563), 1227 ^ _343351 : [(1228 ^ _343351) ^ [_388031] : [element(_388031, powerset(_387565)), 1231 ^ _343351 : [(1232 ^ _343351) ^ [] : [in(_388031, _387743), -(in(subset_complement(_387565, _388031), _387563))], (1238 ^ _343351) ^ [] : [in(subset_complement(_387565, _388031), _387563), -(in(_388031, _387743))]]]]]]]]], (1261 ^ _343351) ^ [_389154, _389156] : [proper_subset(_389156, _389154), 1264 ^ _343351 : [(1265 ^ _343351) ^ [] : [-(subset(_389156, _389154))], (1267 ^ _343351) ^ [] : [_389156 = _389154]]], (1269 ^ _343351) ^ [_389392, _389394] : [-(proper_subset(_389394, _389392)), subset(_389394, _389392), -(_389394 = _389392)], (1279 ^ _343351) ^ [] : [true___, -(true___)], (1285 ^ _343351) ^ [] : [true___, -(true___)], (1291 ^ _343351) ^ [] : [true___, -(true___)], (1297 ^ _343351) ^ [] : [true___, -(true___)], (1303 ^ _343351) ^ [] : [true___, -(true___)], (1309 ^ _343351) ^ [] : [true___, -(true___)], (1315 ^ _343351) ^ [_390381] : [-(element(cast_to_subset(_390381), powerset(_390381)))], (1317 ^ _343351) ^ [] : [true___, -(true___)], (1323 ^ _343351) ^ [] : [true___, -(true___)], (1329 ^ _343351) ^ [] : [true___, -(true___)], (1335 ^ _343351) ^ [] : [true___, -(true___)], (1341 ^ _343351) ^ [_390968, _390970] : [element(_390968, powerset(_390970)), -(element(subset_complement(_390970, _390968), powerset(_390970)))], (1347 ^ _343351) ^ [] : [true___, -(true___)], (1353 ^ _343351) ^ [] : [true___, -(true___)], (1359 ^ _343351) ^ [_391416] : [relation(_391416), -(relation(relation_inverse(_391416)))], (1365 ^ _343351) ^ [] : [true___, -(true___)], (1371 ^ _343351) ^ [] : [true___, -(true___)], (1377 ^ _343351) ^ [_391858, _391860] : [-(relation(relation_composition(_391860, _391858))), relation(_391860), relation(_391858)], (1387 ^ _343351) ^ [_392157, _392159] : [element(_392157, powerset(powerset(_392159))), -(element(union_of_subsets(_392159, _392157), powerset(_392159)))], (1393 ^ _343351) ^ [_392356] : [-(relation(identity_relation(_392356)))], (1395 ^ _343351) ^ [_392464, _392466] : [element(_392464, powerset(powerset(_392466))), -(element(meet_of_subsets(_392466, _392464), powerset(_392466)))], (1401 ^ _343351) ^ [_392706, _392708, _392710] : [-(element(subset_difference(_392710, _392708, _392706), powerset(_392710))), element(_392708, powerset(_392710)), element(_392706, powerset(_392710))], (1411 ^ _343351) ^ [_393035, _393037] : [relation(_393037), -(relation(relation_dom_restriction(_393037, _393035)))], (1417 ^ _343351) ^ [_393247, _393249] : [element(_393247, powerset(powerset(_393249))), -(element(complements_of_subsets(_393249, _393247), powerset(powerset(_393249))))], (1423 ^ _343351) ^ [] : [true___, -(true___)], (1430 ^ _343351) ^ [_393608] : [-(element(1428 ^ [_393608], _393608))], (1432 ^ _343351) ^ [_393720, _393722] : [1439 ^ _343351 : [(1440 ^ _343351) ^ [] : [-(empty(relation_composition(_393720, _393722)))], (1442 ^ _343351) ^ [] : [-(relation(relation_composition(_393720, _393722)))]], empty(_393722), relation(_393720)], (1444 ^ _343351) ^ [_394098, _394100] : [-(relation(set_intersection2(_394100, _394098))), relation(_394100), relation(_394098)], (1454 ^ _343351) ^ [_394367] : [empty(powerset(_394367))], (1456 ^ _343351) ^ [] : [-(empty(empty_set))], (1458 ^ _343351) ^ [_394512, _394514] : [empty(ordered_pair(_394514, _394512))], (1460 ^ _343351) ^ [_394623, _394625] : [-(relation(set_union2(_394625, _394623))), relation(_394625), relation(_394623)], (1470 ^ _343351) ^ [_394892] : [empty(singleton(_394892))], (1472 ^ _343351) ^ [_395000, _395002] : [-(empty(_395002)), empty(set_union2(_395002, _395000))], (1478 ^ _343351) ^ [_395200, _395202] : [empty(unordered_pair(_395202, _395200))], (1480 ^ _343351) ^ [_395311, _395313] : [-(empty(_395313)), empty(set_union2(_395311, _395313))], (1486 ^ _343351) ^ [] : [-(empty(empty_set))], (1488 ^ _343351) ^ [] : [-(relation(empty_set))], (1490 ^ _343351) ^ [_395635, _395637] : [empty(cartesian_product2(_395637, _395635)), -(empty(_395637)), -(empty(_395635))], (1500 ^ _343351) ^ [_395927] : [empty(relation_dom(_395927)), -(empty(_395927)), relation(_395927)], (1510 ^ _343351) ^ [_396204] : [empty(relation_rng(_396204)), -(empty(_396204)), relation(_396204)], (1520 ^ _343351) ^ [_396481] : [empty(_396481), 1523 ^ _343351 : [(1524 ^ _343351) ^ [] : [-(empty(relation_dom(_396481)))], (1526 ^ _343351) ^ [] : [-(relation(relation_dom(_396481)))]]], (1528 ^ _343351) ^ [_396746] : [empty(_396746), 1531 ^ _343351 : [(1532 ^ _343351) ^ [] : [-(empty(relation_rng(_396746)))], (1534 ^ _343351) ^ [] : [-(relation(relation_rng(_396746)))]]], (1536 ^ _343351) ^ [_397025, _397027] : [1543 ^ _343351 : [(1544 ^ _343351) ^ [] : [-(empty(relation_composition(_397027, _397025)))], (1546 ^ _343351) ^ [] : [-(relation(relation_composition(_397027, _397025)))]], empty(_397027), relation(_397025)], (1548 ^ _343351) ^ [_397388, _397390] : [-(set_union2(_397390, _397390) = _397390)], (1550 ^ _343351) ^ [_397485, _397487] : [-(set_intersection2(_397487, _397487) = _397487)], (1552 ^ _343351) ^ [_397597, _397599] : [element(_397597, powerset(_397599)), -(subset_complement(_397599, subset_complement(_397599, _397597)) = _397597)], (1558 ^ _343351) ^ [_397809] : [relation(_397809), -(relation_inverse(relation_inverse(_397809)) = _397809)], (1564 ^ _343351) ^ [_398019, _398021] : [element(_398019, powerset(powerset(_398021))), -(complements_of_subsets(_398021, complements_of_subsets(_398021, _398019)) = _398019)], (1570 ^ _343351) ^ [_398233, _398235] : [proper_subset(_398235, _398235)], (1572 ^ _343351) ^ [_398312] : [singleton(_398312) = empty_set], (1574 ^ _343351) ^ [_398421, _398423] : [in(_398423, _398421), -(set_union2(singleton(_398423), _398421) = _398421)], (1580 ^ _343351) ^ [_398641, _398643] : [disjoint(singleton(_398643), _398641), in(_398643, _398641)], (1586 ^ _343351) ^ [_398854, _398856] : [-(in(_398856, _398854)), -(disjoint(singleton(_398856), _398854))], (1592 ^ _343351) ^ [_399100, _399102] : [subset(singleton(_399102), _399100), -(in(_399102, _399100))], (1598 ^ _343351) ^ [_399266, _399268] : [in(_399268, _399266), -(subset(singleton(_399268), _399266))], (1604 ^ _343351) ^ [_399511, _399513] : [set_difference(_399513, _399511) = empty_set, -(subset(_399513, _399511))], (1610 ^ _343351) ^ [_399679, _399681] : [subset(_399681, _399679), -(set_difference(_399681, _399679) = empty_set)], (1616 ^ _343351) ^ [_399897, _399899] : [element(_399897, powerset(_399899)), 1619 ^ _343351 : [(1620 ^ _343351) ^ [_400038] : [in(_400038, _399897), -(in(_400038, _399899))]]], (1626 ^ _343351) ^ [_400277, _400279, _400281] : [subset(_400281, _400279), -(in(_400277, _400281)), -(subset(_400281, set_difference(_400279, singleton(_400277))))], (1646 ^ _343351) ^ [_400886, _400888] : [1647 ^ _343351 : [(1648 ^ _343351) ^ [] : [_400888 = empty_set], (1650 ^ _343351) ^ [] : [_400888 = singleton(_400886)]], -(subset(_400888, singleton(_400886)))], (1636 ^ _343351) ^ [_400626, _400628] : [subset(_400628, singleton(_400626)), -(_400628 = empty_set), -(_400628 = singleton(_400626))], (1654 ^ _343351) ^ [_401180, _401182] : [in(_401182, _401180), -(subset(_401182, union(_401180)))], (1660 ^ _343351) ^ [_401451, _401453, _401455, _401457] : [in(ordered_pair(_401457, _401455), cartesian_product2(_401453, _401451)), 1663 ^ _343351 : [(1664 ^ _343351) ^ [] : [-(in(_401457, _401453))], (1666 ^ _343351) ^ [] : [-(in(_401455, _401451))]]], (1668 ^ _343351) ^ [_401716, _401718, _401720, _401722] : [-(in(ordered_pair(_401722, _401720), cartesian_product2(_401718, _401716))), in(_401722, _401718), in(_401720, _401716)], (1678 ^ _343351) ^ [_402049, _402051] : [1680 ^ _343351 : [(1681 ^ _343351) ^ [] : [-(in(1679 ^ [_402049, _402051], _402051))], (1683 ^ _343351) ^ [] : [in(1679 ^ [_402049, _402051], _402049)]], -(element(_402051, powerset(_402049)))], (1688 ^ _343351) ^ [] : [-(empty(1686 ^ []))], (1690 ^ _343351) ^ [] : [-(relation(1686 ^ []))], (1692 ^ _343351) ^ [_402543] : [-(empty(_402543)), 1696 ^ _343351 : [(1697 ^ _343351) ^ [] : [-(element(1695 ^ [_402543], powerset(_402543)))], (1699 ^ _343351) ^ [] : [empty(1695 ^ [_402543])]]], (1702 ^ _343351) ^ [] : [-(empty(1700 ^ []))], (1705 ^ _343351) ^ [] : [empty(1703 ^ [])], (1707 ^ _343351) ^ [] : [-(relation(1703 ^ []))], (1710 ^ _343351) ^ [_403165] : [-(element(1708 ^ [_403165], powerset(_403165)))], (1712 ^ _343351) ^ [_403216] : [-(empty(1708 ^ [_403216]))], (1715 ^ _343351) ^ [] : [empty(1713 ^ [])], (1717 ^ _343351) ^ [_403419, _403421] : [element(_403419, powerset(powerset(_403421))), -(union_of_subsets(_403421, _403419) = union(_403419))], (1723 ^ _343351) ^ [_403647, _403649] : [element(_403647, powerset(powerset(_403649))), -(meet_of_subsets(_403649, _403647) = set_meet(_403647))], (1729 ^ _343351) ^ [_403889, _403891, _403893] : [-(subset_difference(_403893, _403891, _403889) = set_difference(_403891, _403889)), element(_403891, powerset(_403893)), element(_403889, powerset(_403893))], (1739 ^ _343351) ^ [_404205, _404207] : [-(subset(_404207, _404207))], (1741 ^ _343351) ^ [_404314, _404316] : [disjoint(_404316, _404314), -(disjoint(_404314, _404316))], (1747 ^ _343351) ^ [_404581, _404583, _404585, _404587] : [in(ordered_pair(_404587, _404585), cartesian_product2(_404583, _404581)), 1750 ^ _343351 : [(1751 ^ _343351) ^ [] : [-(in(_404587, _404583))], (1753 ^ _343351) ^ [] : [-(in(_404585, _404581))]]], (1755 ^ _343351) ^ [_404846, _404848, _404850, _404852] : [-(in(ordered_pair(_404852, _404850), cartesian_product2(_404848, _404846))), in(_404852, _404848), in(_404850, _404846)], (1765 ^ _343351) ^ [_405207, _405209, _405211, _405213] : [unordered_pair(_405213, _405211) = unordered_pair(_405209, _405207), -(_405213 = _405209), -(_405213 = _405207)], (1775 ^ _343351) ^ [_405557, _405559, _405561] : [subset(_405561, _405559), 1778 ^ _343351 : [(1779 ^ _343351) ^ [] : [-(subset(cartesian_product2(_405561, _405557), cartesian_product2(_405559, _405557)))], (1781 ^ _343351) ^ [] : [-(subset(cartesian_product2(_405557, _405561), cartesian_product2(_405557, _405559)))]]], (1783 ^ _343351) ^ [_405902, _405904, _405906, _405908] : [-(subset(cartesian_product2(_405908, _405904), cartesian_product2(_405906, _405902))), subset(_405908, _405906), subset(_405904, _405902)], (1793 ^ _343351) ^ [_406233, _406235] : [subset(_406235, _406233), -(set_union2(_406235, _406233) = _406233)], (1800 ^ _343351) ^ [_406555] : [-(in(_406555, 1798 ^ [_406555]))], (1802 ^ _343351) ^ [_406667, _406669, _406671] : [-(in(_406667, 1798 ^ [_406671])), in(_406669, 1798 ^ [_406671]), subset(_406667, _406669)], (1812 ^ _343351) ^ [_406982, _406984] : [in(_406982, 1798 ^ [_406984]), -(in(powerset(_406982), 1798 ^ [_406984]))], (1818 ^ _343351) ^ [_407182, _407184] : [subset(_407182, 1798 ^ [_407184]), -(are_equipotent(_407182, 1798 ^ [_407184])), -(in(_407182, 1798 ^ [_407184]))], (1828 ^ _343351) ^ [_407507, _407509] : [-(subset(set_intersection2(_407509, _407507), _407509))], (1830 ^ _343351) ^ [_407633, _407635, _407637] : [-(subset(_407637, set_intersection2(_407635, _407633))), subset(_407637, _407635), subset(_407637, _407633)], (1840 ^ _343351) ^ [_407919] : [-(set_union2(_407919, empty_set) = _407919)], (1842 ^ _343351) ^ [_408029, _408031] : [in(_408031, _408029), -(element(_408031, _408029))], (1848 ^ _343351) ^ [_408253, _408255, _408257] : [-(subset(_408257, _408253)), subset(_408257, _408255), subset(_408255, _408253)], (1858 ^ _343351) ^ [] : [-(powerset(empty_set) = singleton(empty_set))], (1860 ^ _343351) ^ [_408629, _408631, _408633] : [relation(_408629), in(ordered_pair(_408633, _408631), _408629), 1867 ^ _343351 : [(1868 ^ _343351) ^ [] : [-(in(_408633, relation_dom(_408629)))], (1870 ^ _343351) ^ [] : [-(in(_408631, relation_rng(_408629)))]]], (1872 ^ _343351) ^ [_409013] : [relation(_409013), -(subset(_409013, cartesian_product2(relation_dom(_409013), relation_rng(_409013))))], (1878 ^ _343351) ^ [_409215] : [relation(_409215), 1881 ^ _343351 : [(1882 ^ _343351) ^ [_409365] : [relation(_409365), subset(_409215, _409365), 1889 ^ _343351 : [(1890 ^ _343351) ^ [] : [-(subset(relation_dom(_409215), relation_dom(_409365)))], (1892 ^ _343351) ^ [] : [-(subset(relation_rng(_409215), relation_rng(_409365)))]]]]], (1894 ^ _343351) ^ [_409774, _409776, _409778] : [subset(_409778, _409776), -(subset(set_intersection2(_409778, _409774), set_intersection2(_409776, _409774)))], (1900 ^ _343351) ^ [_410002, _410004] : [subset(_410004, _410002), -(set_intersection2(_410004, _410002) = _410004)], (1906 ^ _343351) ^ [_410189] : [-(set_intersection2(_410189, empty_set) = empty_set)], (1908 ^ _343351) ^ [_410299, _410301] : [element(_410301, _410299), -(empty(_410299)), -(in(_410301, _410299))], (1918 ^ _343351) ^ [_410597, _410599] : [-(_410599 = _410597), 1922 ^ _343351 : [(1923 ^ _343351) ^ [] : [-(in(1919 ^ [_410597, _410599], _410599))], (1925 ^ _343351) ^ [] : [in(1919 ^ [_410597, _410599], _410597)]], 1926 ^ _343351 : [(1927 ^ _343351) ^ [] : [-(in(1919 ^ [_410597, _410599], _410597))], (1929 ^ _343351) ^ [] : [in(1919 ^ [_410597, _410599], _410599)]]], (1933 ^ _343351) ^ [_411098] : [-(subset(empty_set, _411098))], (1935 ^ _343351) ^ [_411219, _411221, _411223] : [relation(_411219), in(ordered_pair(_411223, _411221), _411219), 1942 ^ _343351 : [(1943 ^ _343351) ^ [] : [-(in(_411223, relation_field(_411219)))], (1945 ^ _343351) ^ [] : [-(in(_411221, relation_field(_411219)))]]], (1947 ^ _343351) ^ [_411631, _411633, _411635] : [subset(_411635, _411633), -(subset(set_difference(_411635, _411631), set_difference(_411633, _411631)))], (1953 ^ _343351) ^ [_411887, _411889, _411891, _411893] : [ordered_pair(_411893, _411891) = ordered_pair(_411889, _411887), 1956 ^ _343351 : [(1957 ^ _343351) ^ [] : [-(_411893 = _411889)], (1959 ^ _343351) ^ [] : [-(_411891 = _411887)]]], (1961 ^ _343351) ^ [_412185, _412187] : [-(subset(set_difference(_412187, _412185), _412187))], (1963 ^ _343351) ^ [_412283] : [relation(_412283), 1966 ^ _343351 : [(1967 ^ _343351) ^ [] : [-(relation_rng(_412283) = relation_dom(relation_inverse(_412283)))], (1969 ^ _343351) ^ [] : [-(relation_dom(_412283) = relation_rng(relation_inverse(_412283)))]]], (1971 ^ _343351) ^ [_412611, _412613] : [set_difference(_412613, _412611) = empty_set, -(subset(_412613, _412611))], (1977 ^ _343351) ^ [_412779, _412781] : [subset(_412781, _412779), -(set_difference(_412781, _412779) = empty_set)], (1983 ^ _343351) ^ [_413026, _413028] : [subset(singleton(_413028), _413026), -(in(_413028, _413026))], (1989 ^ _343351) ^ [_413192, _413194] : [in(_413194, _413192), -(subset(singleton(_413194), _413192))], (1995 ^ _343351) ^ [_413451, _413453, _413455] : [subset(unordered_pair(_413455, _413453), _413451), 1998 ^ _343351 : [(1999 ^ _343351) ^ [] : [-(in(_413455, _413451))], (2001 ^ _343351) ^ [] : [-(in(_413453, _413451))]]], (2003 ^ _343351) ^ [_413702, _413704, _413706] : [-(subset(unordered_pair(_413706, _413704), _413702)), in(_413706, _413702), in(_413704, _413702)], (2013 ^ _343351) ^ [_414004, _414006] : [-(set_union2(_414006, set_difference(_414004, _414006)) = set_union2(_414006, _414004))], (2025 ^ _343351) ^ [_414411, _414413] : [2026 ^ _343351 : [(2027 ^ _343351) ^ [] : [_414413 = empty_set], (2029 ^ _343351) ^ [] : [_414413 = singleton(_414411)]], -(subset(_414413, singleton(_414411)))], (2015 ^ _343351) ^ [_414151, _414153] : [subset(_414153, singleton(_414151)), -(_414153 = empty_set), -(_414153 = singleton(_414151))], (2033 ^ _343351) ^ [_414676] : [-(set_difference(_414676, empty_set) = _414676)], (2035 ^ _343351) ^ [_414815, _414817] : [element(_414817, powerset(_414815)), -(subset(_414817, _414815))], (2041 ^ _343351) ^ [_414981, _414983] : [subset(_414983, _414981), -(element(_414983, powerset(_414981)))], (2047 ^ _343351) ^ [_415217, _415219] : [-(disjoint(_415219, _415217)), 2051 ^ _343351 : [(2052 ^ _343351) ^ [] : [-(in(2050 ^ [_415217, _415219], _415219))], (2054 ^ _343351) ^ [] : [-(in(2050 ^ [_415217, _415219], _415217))]]], (2056 ^ _343351) ^ [_415531, _415533] : [disjoint(_415533, _415531), 2057 ^ _343351 : [(2058 ^ _343351) ^ [_415623] : [in(_415623, _415533), in(_415623, _415531)]]], (2066 ^ _343351) ^ [_415880] : [subset(_415880, empty_set), -(_415880 = empty_set)], (2072 ^ _343351) ^ [_416069, _416071] : [-(set_difference(set_union2(_416071, _416069), _416069) = set_difference(_416071, _416069))], (2074 ^ _343351) ^ [_416187, _416189] : [element(_416187, powerset(_416189)), 2077 ^ _343351 : [(2078 ^ _343351) ^ [_416339] : [element(_416339, powerset(_416189)), 2081 ^ _343351 : [(2082 ^ _343351) ^ [] : [disjoint(_416187, _416339), -(subset(_416187, subset_complement(_416189, _416339)))], (2088 ^ _343351) ^ [] : [subset(_416187, subset_complement(_416189, _416339)), -(disjoint(_416187, _416339))]]]]], (2094 ^ _343351) ^ [_416823] : [relation(_416823), 2097 ^ _343351 : [(2098 ^ _343351) ^ [_416960] : [relation(_416960), -(subset(relation_dom(relation_composition(_416823, _416960)), relation_dom(_416823)))]]], (2104 ^ _343351) ^ [_417175] : [relation(_417175), 2107 ^ _343351 : [(2108 ^ _343351) ^ [_417312] : [relation(_417312), -(subset(relation_rng(relation_composition(_417175, _417312)), relation_rng(_417312)))]]], (2114 ^ _343351) ^ [_417541, _417543] : [subset(_417543, _417541), -(_417541 = set_union2(_417543, set_difference(_417541, _417543)))], (2120 ^ _343351) ^ [_417749] : [relation(_417749), 2123 ^ _343351 : [(2124 ^ _343351) ^ [_417896] : [relation(_417896), subset(relation_rng(_417749), relation_dom(_417896)), -(relation_dom(relation_composition(_417749, _417896)) = relation_dom(_417749))]]], (2134 ^ _343351) ^ [_418222, _418224] : [element(_418222, powerset(powerset(_418224))), -(_418222 = empty_set), complements_of_subsets(_418224, _418222) = empty_set], (2144 ^ _343351) ^ [_418539, _418541] : [in(_418541, _418539), -(set_union2(singleton(_418541), _418539) = _418539)], (2150 ^ _343351) ^ [_418745] : [relation(_418745), 2153 ^ _343351 : [(2154 ^ _343351) ^ [_418892] : [relation(_418892), subset(relation_dom(_418745), relation_rng(_418892)), -(relation_rng(relation_composition(_418892, _418745)) = relation_rng(_418745))]]], (2164 ^ _343351) ^ [_419218, _419220] : [element(_419218, powerset(powerset(_419220))), -(_419218 = empty_set), -(subset_difference(_419220, cast_to_subset(_419220), union_of_subsets(_419220, _419218)) = meet_of_subsets(_419220, complements_of_subsets(_419220, _419218)))], (2174 ^ _343351) ^ [_419558, _419560] : [element(_419558, powerset(powerset(_419560))), -(_419558 = empty_set), -(union_of_subsets(_419560, complements_of_subsets(_419560, _419558)) = subset_difference(_419560, cast_to_subset(_419560), meet_of_subsets(_419560, _419558)))], (2184 ^ _343351) ^ [_419883, _419885] : [-(set_difference(_419885, set_difference(_419885, _419883)) = set_intersection2(_419885, _419883))], (2186 ^ _343351) ^ [_419972] : [-(set_difference(empty_set, _419972) = empty_set)], (2188 ^ _343351) ^ [_420096, _420098, _420100] : [-(element(_420100, _420096)), in(_420100, _420098), element(_420098, powerset(_420096))], (2198 ^ _343351) ^ [_420429, _420431] : [-(disjoint(_420431, _420429)), -(in(2201 ^ [_420429, _420431], set_intersection2(_420431, _420429)))], (2205 ^ _343351) ^ [_420664, _420666] : [2206 ^ _343351 : [(2207 ^ _343351) ^ [_420737] : [in(_420737, set_intersection2(_420666, _420664))]], disjoint(_420666, _420664)], (2211 ^ _343351) ^ [_420889] : [-(_420889 = empty_set), 2214 ^ _343351 : [(2215 ^ _343351) ^ [_421049] : [element(_421049, powerset(_420889)), 2218 ^ _343351 : [(2219 ^ _343351) ^ [_421203] : [element(_421203, _420889), -(in(_421203, _421049)), -(in(_421203, subset_complement(_420889, _421049)))]]]]], (2229 ^ _343351) ^ [_421549, _421551, _421553] : [element(_421549, powerset(_421553)), in(_421551, subset_complement(_421553, _421549)), in(_421551, _421549)], (2239 ^ _343351) ^ [_421855] : [relation(_421855), -(in(ordered_pair(2244 ^ [_421855], 2245 ^ [_421855]), _421855)), -(_421855 = empty_set)], (2251 ^ _343351) ^ [_422287, _422289, _422291] : [in(_422291, _422289), element(_422289, powerset(_422287)), empty(_422287)], (2261 ^ _343351) ^ [] : [-(relation_dom(empty_set) = empty_set)], (2263 ^ _343351) ^ [] : [-(relation_rng(empty_set) = empty_set)], (2265 ^ _343351) ^ [_422705, _422707] : [subset(_422707, _422705), proper_subset(_422705, _422707)], (2271 ^ _343351) ^ [_422928, _422930, _422932] : [-(disjoint(_422932, _422928)), subset(_422932, _422930), disjoint(_422930, _422928)], (2281 ^ _343351) ^ [_423223] : [relation(_423223), 2286 ^ _343351 : [(2287 ^ _343351) ^ [] : [relation_dom(_423223) = empty_set], (2289 ^ _343351) ^ [] : [relation_rng(_423223) = empty_set]], -(_423223 = empty_set)], (2293 ^ _343351) ^ [_423576] : [relation(_423576), 2296 ^ _343351 : [(2297 ^ _343351) ^ [] : [relation_dom(_423576) = empty_set, -(relation_rng(_423576) = empty_set)], (2303 ^ _343351) ^ [] : [relation_rng(_423576) = empty_set, -(relation_dom(_423576) = empty_set)]]], (2309 ^ _343351) ^ [_424059, _424061] : [set_difference(_424061, singleton(_424059)) = _424061, in(_424059, _424061)], (2315 ^ _343351) ^ [_424232, _424234] : [-(in(_424232, _424234)), -(set_difference(_424234, singleton(_424232)) = _424234)], (2321 ^ _343351) ^ [_424428] : [-(unordered_pair(_424428, _424428) = singleton(_424428))], (2323 ^ _343351) ^ [_424526] : [empty(_424526), -(_424526 = empty_set)], (2329 ^ _343351) ^ [_424728, _424730] : [subset(singleton(_424730), singleton(_424728)), -(_424730 = _424728)], (2335 ^ _343351) ^ [_424937] : [-(relation_dom(identity_relation(_424937)) = _424937)], (2337 ^ _343351) ^ [_424985] : [-(relation_rng(identity_relation(_424985)) = _424985)], (2339 ^ _343351) ^ [_425126, _425128, _425130, _425132] : [relation(_425126), 2342 ^ _343351 : [(2343 ^ _343351) ^ [] : [in(ordered_pair(_425132, _425130), relation_composition(identity_relation(_425128), _425126)), 2346 ^ _343351 : [(2347 ^ _343351) ^ [] : [-(in(_425132, _425128))], (2349 ^ _343351) ^ [] : [-(in(ordered_pair(_425132, _425130), _425126))]]], (2351 ^ _343351) ^ [] : [-(in(ordered_pair(_425132, _425130), relation_composition(identity_relation(_425128), _425126))), in(_425132, _425128), in(ordered_pair(_425132, _425130), _425126)]]], (2361 ^ _343351) ^ [_425819, _425821] : [in(_425821, _425819), empty(_425819)], (2367 ^ _343351) ^ [_426011, _426013] : [-(subset(_426013, set_union2(_426013, _426011)))], (2369 ^ _343351) ^ [_426152, _426154] : [disjoint(_426154, _426152), -(set_difference(_426154, _426152) = _426154)], (2375 ^ _343351) ^ [_426320, _426322] : [set_difference(_426322, _426320) = _426322, -(disjoint(_426322, _426320))], (2381 ^ _343351) ^ [_426552, _426554, _426556] : [relation(_426552), 2384 ^ _343351 : [(2385 ^ _343351) ^ [] : [in(_426556, relation_dom(relation_dom_restriction(_426552, _426554))), 2388 ^ _343351 : [(2389 ^ _343351) ^ [] : [-(in(_426556, _426554))], (2391 ^ _343351) ^ [] : [-(in(_426556, relation_dom(_426552)))]]], (2393 ^ _343351) ^ [] : [-(in(_426556, relation_dom(relation_dom_restriction(_426552, _426554)))), in(_426556, _426554), in(_426556, relation_dom(_426552))]]], (2403 ^ _343351) ^ [_427211, _427213] : [relation(_427211), -(subset(relation_dom_restriction(_427211, _427213), _427211))], (2409 ^ _343351) ^ [_427425, _427427] : [empty(_427427), -(_427427 = _427425), empty(_427425)], (2419 ^ _343351) ^ [_427736, _427738, _427740] : [-(subset(set_union2(_427740, _427736), _427738)), subset(_427740, _427738), subset(_427736, _427738)], (2429 ^ _343351) ^ [_428065, _428067, _428069] : [singleton(_428069) = unordered_pair(_428067, _428065), -(_428069 = _428067)], (2435 ^ _343351) ^ [_428291, _428293] : [relation(_428291), -(relation_dom(relation_dom_restriction(_428291, _428293)) = set_intersection2(relation_dom(_428291), _428293))], (2441 ^ _343351) ^ [_428519, _428521] : [in(_428521, _428519), -(subset(_428521, union(_428519)))], (2447 ^ _343351) ^ [_428704] : [-(union(powerset(_428704)) = _428704)], (2485 ^ _343351) ^ [_430225, _430227, _430229] : [singleton(_430229) = unordered_pair(_430227, _430225), -(_430227 = _430225)], (2450 ^ _343351) ^ [_428945] : [-(in(_428945, 2448 ^ [_428945]))], (2452 ^ _343351) ^ [_429057, _429059, _429061] : [-(in(_429057, 2448 ^ [_429061])), in(_429059, 2448 ^ [_429061]), subset(_429057, _429059)], (2462 ^ _343351) ^ [_429372, _429374] : [in(_429372, 2448 ^ [_429374]), 2466 ^ _343351 : [(2467 ^ _343351) ^ [] : [-(in(2465 ^ [_429372, _429374], 2448 ^ [_429374]))], (2469 ^ _343351) ^ [_429684] : [subset(_429684, _429372), -(in(_429684, 2465 ^ [_429372, _429374]))]]], (2475 ^ _343351) ^ [_429891, _429893] : [subset(_429891, 2448 ^ [_429893]), -(are_equipotent(_429891, 2448 ^ [_429893])), -(in(_429891, 2448 ^ [_429893]))]], input).
% 137.17/132.07  ncf('1',plain,[relation_dom_restriction(2491 ^ [], 2490 ^ []) = relation_composition(identity_relation(2490 ^ []), 2491 ^ [])],start(2495 ^ 0)).
% 137.17/132.07  ncf('1.1',plain,[-(relation_dom_restriction(2491 ^ [], 2490 ^ []) = relation_composition(identity_relation(2490 ^ []), 2491 ^ [])), relation_composition(identity_relation(2490 ^ []), 2491 ^ []) = relation_dom_restriction(2491 ^ [], 2490 ^ [])],extension(4 ^ 1,bind([[_343602, _343604], [relation_dom_restriction(2491 ^ [], 2490 ^ []), relation_composition(identity_relation(2490 ^ []), 2491 ^ [])]]))).
% 137.17/132.07  ncf('1.1.1',plain,[-(relation_composition(identity_relation(2490 ^ []), 2491 ^ []) = relation_dom_restriction(2491 ^ [], 2490 ^ [])), 452 : -(in(439 ^ [2491 ^ [], relation_composition(identity_relation(2490 ^ []), 2491 ^ []), 2490 ^ []], 2490 ^ [])), 446 : in(439 ^ [2491 ^ [], relation_composition(identity_relation(2490 ^ []), 2491 ^ []), 2490 ^ []], 2490 ^ []), 446 : in(ordered_pair(439 ^ [2491 ^ [], relation_composition(identity_relation(2490 ^ []), 2491 ^ []), 2490 ^ []], 440 ^ [2491 ^ [], relation_composition(identity_relation(2490 ^ []), 2491 ^ []), 2490 ^ []]), 2491 ^ []), 438 : relation(relation_composition(identity_relation(2490 ^ []), 2491 ^ [])), 412 : relation(2491 ^ [])],extension(408 ^ 2,bind([[_357572, _357758, _357760], [2491 ^ [], relation_composition(identity_relation(2490 ^ []), 2491 ^ []), 2490 ^ []]]))).
% 137.17/132.07  ncf('1.1.1.1',plain,[in(439 ^ [2491 ^ [], relation_composition(identity_relation(2490 ^ []), 2491 ^ []), 2490 ^ []], 2490 ^ []), 2351 : -(in(ordered_pair(439 ^ [2491 ^ [], relation_composition(identity_relation(2490 ^ []), 2491 ^ []), 2490 ^ []], 440 ^ [2491 ^ [], relation_composition(identity_relation(2490 ^ []), 2491 ^ []), 2490 ^ []]), relation_composition(identity_relation(2490 ^ []), 2491 ^ []))), 2351 : in(ordered_pair(439 ^ [2491 ^ [], relation_composition(identity_relation(2490 ^ []), 2491 ^ []), 2490 ^ []], 440 ^ [2491 ^ [], relation_composition(identity_relation(2490 ^ []), 2491 ^ []), 2490 ^ []]), 2491 ^ []), 2351 : relation(2491 ^ [])],extension(2339 ^ 9,bind([[_425126, _425128, _425130, _425132], [2491 ^ [], 2490 ^ [], 440 ^ [2491 ^ [], relation_composition(identity_relation(2490 ^ []), 2491 ^ []), 2490 ^ []], 439 ^ [2491 ^ [], relation_composition(identity_relation(2490 ^ []), 2491 ^ []), 2490 ^ []]]]))).
% 137.17/132.07  ncf('1.1.1.1.1',plain,[in(ordered_pair(439 ^ [2491 ^ [], relation_composition(identity_relation(2490 ^ []), 2491 ^ []), 2490 ^ []], 440 ^ [2491 ^ [], relation_composition(identity_relation(2490 ^ []), 2491 ^ []), 2490 ^ []]), relation_composition(identity_relation(2490 ^ []), 2491 ^ []))],extension(456 ^ 12)).
% 137.17/132.07  ncf('1.1.1.1.2',plain,[-(in(ordered_pair(439 ^ [2491 ^ [], relation_composition(identity_relation(2490 ^ []), 2491 ^ []), 2490 ^ []], 440 ^ [2491 ^ [], relation_composition(identity_relation(2490 ^ []), 2491 ^ []), 2490 ^ []]), 2491 ^ []))],extension(454 ^ 12)).
% 137.17/132.07  ncf('1.1.1.1.3',plain,[-(relation(2491 ^ []))],extension(2493 ^ 10)).
% 137.17/132.07  ncf('1.1.1.2',plain,[-(in(439 ^ [2491 ^ [], relation_composition(identity_relation(2490 ^ []), 2491 ^ []), 2490 ^ []], 2490 ^ [])), 2343 : in(ordered_pair(439 ^ [2491 ^ [], relation_composition(identity_relation(2490 ^ []), 2491 ^ []), 2490 ^ []], 440 ^ [2491 ^ [], relation_composition(identity_relation(2490 ^ []), 2491 ^ []), 2490 ^ []]), relation_composition(identity_relation(2490 ^ []), 2491 ^ [])), 2343 : relation(2491 ^ [])],extension(2339 ^ 9,bind([[_425126, _425128, _425130, _425132], [2491 ^ [], 2490 ^ [], 440 ^ [2491 ^ [], relation_composition(identity_relation(2490 ^ []), 2491 ^ []), 2490 ^ []], 439 ^ [2491 ^ [], relation_composition(identity_relation(2490 ^ []), 2491 ^ []), 2490 ^ []]]]))).
% 137.17/132.07  ncf('1.1.1.2.1',plain,[-(in(ordered_pair(439 ^ [2491 ^ [], relation_composition(identity_relation(2490 ^ []), 2491 ^ []), 2490 ^ []], 440 ^ [2491 ^ [], relation_composition(identity_relation(2490 ^ []), 2491 ^ []), 2490 ^ []]), relation_composition(identity_relation(2490 ^ []), 2491 ^ [])))],extension(444 ^ 12)).
% 137.17/132.07  ncf('1.1.1.2.2',plain,[-(relation(2491 ^ []))],extension(2493 ^ 10)).
% 137.17/132.07  ncf('1.1.1.3',plain,[-(in(ordered_pair(439 ^ [2491 ^ [], relation_composition(identity_relation(2490 ^ []), 2491 ^ []), 2490 ^ []], 440 ^ [2491 ^ [], relation_composition(identity_relation(2490 ^ []), 2491 ^ []), 2490 ^ []]), 2491 ^ [])), 2343 : in(ordered_pair(439 ^ [2491 ^ [], relation_composition(identity_relation(2490 ^ []), 2491 ^ []), 2490 ^ []], 440 ^ [2491 ^ [], relation_composition(identity_relation(2490 ^ []), 2491 ^ []), 2490 ^ []]), relation_composition(identity_relation(2490 ^ []), 2491 ^ [])), 2343 : relation(2491 ^ [])],extension(2339 ^ 9,bind([[_425126, _425128, _425130, _425132], [2491 ^ [], 2490 ^ [], 440 ^ [2491 ^ [], relation_composition(identity_relation(2490 ^ []), 2491 ^ []), 2490 ^ []], 439 ^ [2491 ^ [], relation_composition(identity_relation(2490 ^ []), 2491 ^ []), 2490 ^ []]]]))).
% 137.17/132.07  ncf('1.1.1.3.1',plain,[-(in(ordered_pair(439 ^ [2491 ^ [], relation_composition(identity_relation(2490 ^ []), 2491 ^ []), 2490 ^ []], 440 ^ [2491 ^ [], relation_composition(identity_relation(2490 ^ []), 2491 ^ []), 2490 ^ []]), relation_composition(identity_relation(2490 ^ []), 2491 ^ [])))],extension(444 ^ 12)).
% 137.17/132.07  ncf('1.1.1.3.2',plain,[-(relation(2491 ^ []))],extension(2493 ^ 10)).
% 137.17/132.07  ncf('1.1.1.4',plain,[-(relation(relation_composition(identity_relation(2490 ^ []), 2491 ^ []))), relation(identity_relation(2490 ^ [])), relation(2491 ^ [])],extension(1377 ^ 5,bind([[_391858, _391860], [2491 ^ [], identity_relation(2490 ^ [])]]))).
% 137.17/132.07  ncf('1.1.1.4.1',plain,[-(relation(identity_relation(2490 ^ [])))],extension(1393 ^ 6,bind([[_392356], [2490 ^ []]]))).
% 137.17/132.07  ncf('1.1.1.4.2',plain,[-(relation(2491 ^ []))],extension(2493 ^ 6)).
% 137.17/132.07  ncf('1.1.1.5',plain,[-(relation(2491 ^ []))],extension(2493 ^ 3)).
% 137.17/132.07  %-----------------------------------------------------
% 137.17/132.07  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------