%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU201+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n031.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 12:02:38 EDT 2023

% Result   : Theorem 17.36s 17.89s
% Output   : Proof 17.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU201+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n031.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 13:22:10 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 17.36/17.89  
% 17.36/17.89  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 17.36/17.89  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.36/17.89  %-----------------------------------------------------
% 17.36/17.89  ncf(matrix, plain, [(2613 ^ _356374) ^ [] : [-(relation(2611 ^ []))], (2615 ^ _356374) ^ [] : [relation_rng(relation_rng_restriction(2610 ^ [], 2611 ^ [])) = set_intersection2(relation_rng(2611 ^ []), 2610 ^ [])], (2 ^ _356374) ^ [_356518] : [-(_356518 = _356518)], (4 ^ _356374) ^ [_356625, _356627] : [_356627 = _356625, -(_356625 = _356627)], (10 ^ _356374) ^ [_356829, _356831, _356833] : [-(_356833 = _356829), _356833 = _356831, _356831 = _356829], (20 ^ _356374) ^ [_357170, _357172, _357174, _357176] : [-(element(_357174, _357170)), element(_357176, _357172), _357176 = _357174, _357172 = _357170], (34 ^ _356374) ^ [_357614, _357616, _357618, _357620] : [-(proper_subset(_357618, _357614)), proper_subset(_357620, _357616), _357620 = _357618, _357616 = _357614], (48 ^ _356374) ^ [_358058, _358060, _358062, _358064] : [-(disjoint(_358062, _358058)), disjoint(_358064, _358060), _358064 = _358062, _358060 = _358058], (62 ^ _356374) ^ [_358474, _358476] : [-(empty(_358474)), _358476 = _358474, empty(_358476)], (72 ^ _356374) ^ [_358797, _358799, _358801, _358803] : [-(subset(_358801, _358797)), subset(_358803, _358799), _358803 = _358801, _358799 = _358797], (86 ^ _356374) ^ [_359241, _359243, _359245, _359247] : [-(are_equipotent(_359245, _359241)), are_equipotent(_359247, _359243), _359247 = _359245, _359243 = _359241], (114 ^ _356374) ^ [_360081, _360083] : [-(relation(_360081)), _360083 = _360081, relation(_360083)], (100 ^ _356374) ^ [_359685, _359687, _359689, _359691] : [-(in(_359689, _359685)), in(_359691, _359687), _359691 = _359689, _359687 = _359685], (124 ^ _356374) ^ [_360396, _360398] : [_360398 = _360396, -(set_meet(_360398) = set_meet(_360396))], (130 ^ _356374) ^ [_360642, _360644, _360646, _360648] : [-(cartesian_product2(_360648, _360644) = cartesian_product2(_360646, _360642)), _360648 = _360646, _360644 = _360642], (140 ^ _356374) ^ [_360973, _360975] : [_360975 = _360973, -(relation_field(_360975) = relation_field(_360973))], (146 ^ _356374) ^ [_361191, _361193] : [_361193 = _361191, -(relation_inverse(_361193) = relation_inverse(_361191))], (152 ^ _356374) ^ [_361437, _361439, _361441, _361443] : [-(union_of_subsets(_361443, _361439) = union_of_subsets(_361441, _361437)), _361443 = _361441, _361439 = _361437], (162 ^ _356374) ^ [_361796, _361798, _361800, _361802] : [-(complements_of_subsets(_361802, _361798) = complements_of_subsets(_361800, _361796)), _361802 = _361800, _361798 = _361796], (172 ^ _356374) ^ [_362183, _362185, _362187, _362189, _362191, _362193] : [-(subset_difference(_362193, _362189, _362185) = subset_difference(_362191, _362187, _362183)), _362193 = _362191, _362189 = _362187, _362185 = _362183], (186 ^ _356374) ^ [_362643, _362645] : [_362645 = _362643, -(cast_to_subset(_362645) = cast_to_subset(_362643))], (192 ^ _356374) ^ [_362889, _362891, _362893, _362895] : [-(meet_of_subsets(_362895, _362891) = meet_of_subsets(_362893, _362889)), _362895 = _362893, _362891 = _362889], (202 ^ _356374) ^ [_363248, _363250, _363252, _363254] : [-(subset_complement(_363254, _363250) = subset_complement(_363252, _363248)), _363254 = _363252, _363250 = _363248], (212 ^ _356374) ^ [_363607, _363609, _363611, _363613] : [-(ordered_pair(_363613, _363609) = ordered_pair(_363611, _363607)), _363613 = _363611, _363609 = _363607], (222 ^ _356374) ^ [_363966, _363968, _363970, _363972] : [-(set_difference(_363972, _363968) = set_difference(_363970, _363966)), _363972 = _363970, _363968 = _363966], (232 ^ _356374) ^ [_364325, _364327, _364329, _364331] : [-(set_union2(_364331, _364327) = set_union2(_364329, _364325)), _364331 = _364329, _364327 = _364325], (242 ^ _356374) ^ [_364656, _364658] : [_364658 = _364656, -(relation_dom(_364658) = relation_dom(_364656))], (248 ^ _356374) ^ [_364902, _364904, _364906, _364908] : [-(relation_composition(_364908, _364904) = relation_composition(_364906, _364902)), _364908 = _364906, _364904 = _364902], (258 ^ _356374) ^ [_365233, _365235] : [_365235 = _365233, -(identity_relation(_365235) = identity_relation(_365233))], (264 ^ _356374) ^ [_365479, _365481, _365483, _365485] : [-(relation_dom_restriction(_365485, _365481) = relation_dom_restriction(_365483, _365479)), _365485 = _365483, _365481 = _365479], (274 ^ _356374) ^ [_365810, _365812] : [_365812 = _365810, -(union(_365812) = union(_365810))], (280 ^ _356374) ^ [_366028, _366030] : [_366030 = _366028, -(powerset(_366030) = powerset(_366028))], (286 ^ _356374) ^ [_366246, _366248] : [_366248 = _366246, -(singleton(_366248) = singleton(_366246))], (292 ^ _356374) ^ [_366492, _366494, _366496, _366498] : [-(unordered_pair(_366498, _366494) = unordered_pair(_366496, _366492)), _366498 = _366496, _366494 = _366492], (302 ^ _356374) ^ [_366851, _366853, _366855, _366857] : [-(relation_rng_restriction(_366857, _366853) = relation_rng_restriction(_366855, _366851)), _366857 = _366855, _366853 = _366851], (322 ^ _356374) ^ [_367521, _367523] : [_367523 = _367521, -(relation_rng(_367523) = relation_rng(_367521))], (312 ^ _356374) ^ [_367210, _367212, _367214, _367216] : [-(set_intersection2(_367216, _367212) = set_intersection2(_367214, _367210)), _367216 = _367214, _367212 = _367210], (328 ^ _356374) ^ [_367847, _367849] : [in(_367849, _367847), in(_367847, _367849)], (334 ^ _356374) ^ [_368058, _368060] : [proper_subset(_368060, _368058), proper_subset(_368058, _368060)], (340 ^ _356374) ^ [_368255] : [empty(_368255), -(relation(_368255))], (346 ^ _356374) ^ [_368440, _368442] : [-(unordered_pair(_368442, _368440) = unordered_pair(_368440, _368442))], (348 ^ _356374) ^ [_368540, _368542] : [-(set_union2(_368542, _368540) = set_union2(_368540, _368542))], (350 ^ _356374) ^ [_368640, _368642] : [-(set_intersection2(_368642, _368640) = set_intersection2(_368640, _368642))], (352 ^ _356374) ^ [_368755, _368757] : [relation(_368755), 355 ^ _356374 : [(378 ^ _356374) ^ [] : [-(_368755 = identity_relation(_368757)), 391 ^ _356374 : [(392 ^ _356374) ^ [] : [-(in(379 ^ [_368755, _368757], _368757))], (394 ^ _356374) ^ [] : [-(379 ^ [_368755, _368757] = 380 ^ [_368755, _368757])], (396 ^ _356374) ^ [] : [in(ordered_pair(379 ^ [_368755, _368757], 380 ^ [_368755, _368757]), _368755)]], 383 ^ _356374 : [(384 ^ _356374) ^ [] : [-(in(ordered_pair(379 ^ [_368755, _368757], 380 ^ [_368755, _368757]), _368755))], (386 ^ _356374) ^ [] : [in(379 ^ [_368755, _368757], _368757), 379 ^ [_368755, _368757] = 380 ^ [_368755, _368757]]]], (356 ^ _356374) ^ [] : [_368755 = identity_relation(_368757), 359 ^ _356374 : [(360 ^ _356374) ^ [_369065, _369067] : [in(ordered_pair(_369067, _369065), _368755), 363 ^ _356374 : [(364 ^ _356374) ^ [] : [-(in(_369067, _368757))], (366 ^ _356374) ^ [] : [-(_369067 = _369065)]]], (368 ^ _356374) ^ [_369328, _369330] : [-(in(ordered_pair(_369330, _369328), _368755)), in(_369330, _368757), _369330 = _369328]]]]], (400 ^ _356374) ^ [_370436, _370438] : [_370438 = _370436, 403 ^ _356374 : [(404 ^ _356374) ^ [] : [-(subset(_370438, _370436))], (406 ^ _356374) ^ [] : [-(subset(_370436, _370438))]]], (408 ^ _356374) ^ [_370673, _370675] : [-(_370675 = _370673), subset(_370675, _370673), subset(_370673, _370675)], (418 ^ _356374) ^ [_370960] : [relation(_370960), 421 ^ _356374 : [(422 ^ _356374) ^ [_371146, _371148] : [relation(_371146), 425 ^ _356374 : [(448 ^ _356374) ^ [] : [-(_371146 = relation_dom_restriction(_370960, _371148)), 461 ^ _356374 : [(462 ^ _356374) ^ [] : [-(in(449 ^ [_370960, _371146, _371148], _371148))], (464 ^ _356374) ^ [] : [-(in(ordered_pair(449 ^ [_370960, _371146, _371148], 450 ^ [_370960, _371146, _371148]), _370960))], (466 ^ _356374) ^ [] : [in(ordered_pair(449 ^ [_370960, _371146, _371148], 450 ^ [_370960, _371146, _371148]), _371146)]], 453 ^ _356374 : [(454 ^ _356374) ^ [] : [-(in(ordered_pair(449 ^ [_370960, _371146, _371148], 450 ^ [_370960, _371146, _371148]), _371146))], (456 ^ _356374) ^ [] : [in(449 ^ [_370960, _371146, _371148], _371148), in(ordered_pair(449 ^ [_370960, _371146, _371148], 450 ^ [_370960, _371146, _371148]), _370960)]]], (426 ^ _356374) ^ [] : [_371146 = relation_dom_restriction(_370960, _371148), 429 ^ _356374 : [(430 ^ _356374) ^ [_371471, _371473] : [in(ordered_pair(_371473, _371471), _371146), 433 ^ _356374 : [(434 ^ _356374) ^ [] : [-(in(_371473, _371148))], (436 ^ _356374) ^ [] : [-(in(ordered_pair(_371473, _371471), _370960))]]], (438 ^ _356374) ^ [_371750, _371752] : [-(in(ordered_pair(_371752, _371750), _371146)), in(_371752, _371148), in(ordered_pair(_371752, _371750), _370960)]]]]]]], (470 ^ _356374) ^ [_372919, _372921] : [relation(_372919), 473 ^ _356374 : [(474 ^ _356374) ^ [_373090] : [relation(_373090), 477 ^ _356374 : [(500 ^ _356374) ^ [] : [-(_373090 = relation_rng_restriction(_372921, _372919)), 513 ^ _356374 : [(514 ^ _356374) ^ [] : [-(in(502 ^ [_372919, _372921, _373090], _372921))], (516 ^ _356374) ^ [] : [-(in(ordered_pair(501 ^ [_372919, _372921, _373090], 502 ^ [_372919, _372921, _373090]), _372919))], (518 ^ _356374) ^ [] : [in(ordered_pair(501 ^ [_372919, _372921, _373090], 502 ^ [_372919, _372921, _373090]), _373090)]], 505 ^ _356374 : [(506 ^ _356374) ^ [] : [-(in(ordered_pair(501 ^ [_372919, _372921, _373090], 502 ^ [_372919, _372921, _373090]), _373090))], (508 ^ _356374) ^ [] : [in(502 ^ [_372919, _372921, _373090], _372921), in(ordered_pair(501 ^ [_372919, _372921, _373090], 502 ^ [_372919, _372921, _373090]), _372919)]]], (478 ^ _356374) ^ [] : [_373090 = relation_rng_restriction(_372921, _372919), 481 ^ _356374 : [(482 ^ _356374) ^ [_373417, _373419] : [in(ordered_pair(_373419, _373417), _373090), 485 ^ _356374 : [(486 ^ _356374) ^ [] : [-(in(_373417, _372921))], (488 ^ _356374) ^ [] : [-(in(ordered_pair(_373419, _373417), _372919))]]], (490 ^ _356374) ^ [_373696, _373698] : [-(in(ordered_pair(_373698, _373696), _373090)), in(_373696, _372921), in(ordered_pair(_373698, _373696), _372919)]]]]]]], (534 ^ _356374) ^ [_375332] : [536 ^ _356374 : [(537 ^ _356374) ^ [] : [-(in(535 ^ [_375332], _375332))], (539 ^ _356374) ^ [_375569, _375571] : [535 ^ [_375332] = ordered_pair(_375571, _375569)]], -(relation(_375332))], (522 ^ _356374) ^ [_374871] : [relation(_374871), 525 ^ _356374 : [(526 ^ _356374) ^ [_375019] : [in(_375019, _374871), -(_375019 = ordered_pair(529 ^ [_374871, _375019], 530 ^ [_374871, _375019]))]]], (592 ^ _356374) ^ [_377467, _377469] : [_377469 = empty_set, 595 ^ _356374 : [(596 ^ _356374) ^ [] : [_377467 = set_meet(_377469), -(_377467 = empty_set)], (602 ^ _356374) ^ [] : [_377467 = empty_set, -(_377467 = set_meet(_377469))]]], (543 ^ _356374) ^ [_375760, _375762] : [-(_375762 = empty_set), 546 ^ _356374 : [(570 ^ _356374) ^ [] : [-(_375760 = set_meet(_375762)), 574 ^ _356374 : [(575 ^ _356374) ^ [] : [-(in(571 ^ [_375760, _375762], _375760))], (578 ^ _356374) ^ [] : [-(in(576 ^ [_375760, _375762], _375762))], (580 ^ _356374) ^ [] : [in(571 ^ [_375760, _375762], 576 ^ [_375760, _375762])]], 581 ^ _356374 : [(588 ^ _356374) ^ [] : [in(571 ^ [_375760, _375762], _375760)], (582 ^ _356374) ^ [_377162] : [in(_377162, _375762), -(in(571 ^ [_375760, _375762], _377162))]]], (547 ^ _356374) ^ [] : [_375760 = set_meet(_375762), 550 ^ _356374 : [(561 ^ _356374) ^ [_376388] : [563 ^ _356374 : [(564 ^ _356374) ^ [] : [-(in(562 ^ [_375760, _375762, _376388], _375762))], (566 ^ _356374) ^ [] : [in(_376388, 562 ^ [_375760, _375762, _376388])]], -(in(_376388, _375760))], (551 ^ _356374) ^ [_376058] : [in(_376058, _375760), 554 ^ _356374 : [(555 ^ _356374) ^ [_376203] : [in(_376203, _375762), -(in(_376058, _376203))]]]]]]], (624 ^ _356374) ^ [_378485, _378487] : [-(_378485 = singleton(_378487)), 628 ^ _356374 : [(629 ^ _356374) ^ [] : [-(in(625 ^ [_378485, _378487], _378485))], (631 ^ _356374) ^ [] : [625 ^ [_378485, _378487] = _378487]], 632 ^ _356374 : [(633 ^ _356374) ^ [] : [-(625 ^ [_378485, _378487] = _378487)], (635 ^ _356374) ^ [] : [in(625 ^ [_378485, _378487], _378485)]]], (608 ^ _356374) ^ [_377964, _377966] : [_377964 = singleton(_377966), 611 ^ _356374 : [(612 ^ _356374) ^ [_378134] : [in(_378134, _377964), -(_378134 = _377966)], (618 ^ _356374) ^ [_378306] : [_378306 = _377966, -(in(_378306, _377964))]]], (639 ^ _356374) ^ [_379036] : [_379036 = empty_set, 642 ^ _356374 : [(643 ^ _356374) ^ [_379149] : [in(_379149, _379036)]]], (645 ^ _356374) ^ [_379215] : [-(in(646 ^ [_379215], _379215)), -(_379215 = empty_set)], (668 ^ _356374) ^ [_380027, _380029] : [-(_380027 = powerset(_380029)), 672 ^ _356374 : [(673 ^ _356374) ^ [] : [-(in(669 ^ [_380027, _380029], _380027))], (675 ^ _356374) ^ [] : [subset(669 ^ [_380027, _380029], _380029)]], 676 ^ _356374 : [(677 ^ _356374) ^ [] : [-(subset(669 ^ [_380027, _380029], _380029))], (679 ^ _356374) ^ [] : [in(669 ^ [_380027, _380029], _380027)]]], (652 ^ _356374) ^ [_379506, _379508] : [_379506 = powerset(_379508), 655 ^ _356374 : [(656 ^ _356374) ^ [_379676] : [in(_379676, _379506), -(subset(_379676, _379508))], (662 ^ _356374) ^ [_379848] : [subset(_379848, _379508), -(in(_379848, _379506))]]], (683 ^ _356374) ^ [_380549] : [relation(_380549), 686 ^ _356374 : [(687 ^ _356374) ^ [_380707] : [relation(_380707), 690 ^ _356374 : [(707 ^ _356374) ^ [] : [-(_380549 = _380707), 712 ^ _356374 : [(713 ^ _356374) ^ [] : [-(in(ordered_pair(708 ^ [_380549, _380707], 709 ^ [_380549, _380707]), _380549))], (715 ^ _356374) ^ [] : [in(ordered_pair(708 ^ [_380549, _380707], 709 ^ [_380549, _380707]), _380707)]], 716 ^ _356374 : [(717 ^ _356374) ^ [] : [-(in(ordered_pair(708 ^ [_380549, _380707], 709 ^ [_380549, _380707]), _380707))], (719 ^ _356374) ^ [] : [in(ordered_pair(708 ^ [_380549, _380707], 709 ^ [_380549, _380707]), _380549)]]], (691 ^ _356374) ^ [] : [_380549 = _380707, 694 ^ _356374 : [(695 ^ _356374) ^ [_381012, _381014] : [in(ordered_pair(_381014, _381012), _380549), -(in(ordered_pair(_381014, _381012), _380707))], (701 ^ _356374) ^ [_381202, _381204] : [in(ordered_pair(_381204, _381202), _380707), -(in(ordered_pair(_381204, _381202), _380549))]]]]]]], (723 ^ _356374) ^ [_382039, _382041] : [-(empty(_382041)), 726 ^ _356374 : [(727 ^ _356374) ^ [] : [element(_382039, _382041), -(in(_382039, _382041))], (733 ^ _356374) ^ [] : [in(_382039, _382041), -(element(_382039, _382041))]]], (739 ^ _356374) ^ [_382452, _382454] : [empty(_382454), 742 ^ _356374 : [(743 ^ _356374) ^ [] : [element(_382452, _382454), -(empty(_382452))], (749 ^ _356374) ^ [] : [empty(_382452), -(element(_382452, _382454))]]], (777 ^ _356374) ^ [_383677, _383679, _383681] : [-(_383677 = unordered_pair(_383681, _383679)), 781 ^ _356374 : [(782 ^ _356374) ^ [] : [-(in(778 ^ [_383677, _383679, _383681], _383677))], (784 ^ _356374) ^ [] : [778 ^ [_383677, _383679, _383681] = _383681], (786 ^ _356374) ^ [] : [778 ^ [_383677, _383679, _383681] = _383679]], 787 ^ _356374 : [(794 ^ _356374) ^ [] : [in(778 ^ [_383677, _383679, _383681], _383677)], (788 ^ _356374) ^ [] : [-(778 ^ [_383677, _383679, _383681] = _383681), -(778 ^ [_383677, _383679, _383681] = _383679)]]], (755 ^ _356374) ^ [_382952, _382954, _382956] : [_382952 = unordered_pair(_382956, _382954), 758 ^ _356374 : [(769 ^ _356374) ^ [_383412] : [770 ^ _356374 : [(771 ^ _356374) ^ [] : [_383412 = _382956], (773 ^ _356374) ^ [] : [_383412 = _382954]], -(in(_383412, _382952))], (759 ^ _356374) ^ [_383134] : [in(_383134, _382952), -(_383134 = _382956), -(_383134 = _382954)]]], (820 ^ _356374) ^ [_385196, _385198, _385200] : [-(_385196 = set_union2(_385200, _385198)), 824 ^ _356374 : [(825 ^ _356374) ^ [] : [-(in(821 ^ [_385196, _385198, _385200], _385196))], (827 ^ _356374) ^ [] : [in(821 ^ [_385196, _385198, _385200], _385200)], (829 ^ _356374) ^ [] : [in(821 ^ [_385196, _385198, _385200], _385198)]], 830 ^ _356374 : [(837 ^ _356374) ^ [] : [in(821 ^ [_385196, _385198, _385200], _385196)], (831 ^ _356374) ^ [] : [-(in(821 ^ [_385196, _385198, _385200], _385200)), -(in(821 ^ [_385196, _385198, _385200], _385198))]]], (798 ^ _356374) ^ [_384471, _384473, _384475] : [_384471 = set_union2(_384475, _384473), 801 ^ _356374 : [(812 ^ _356374) ^ [_384931] : [813 ^ _356374 : [(814 ^ _356374) ^ [] : [in(_384931, _384475)], (816 ^ _356374) ^ [] : [in(_384931, _384473)]], -(in(_384931, _384471))], (802 ^ _356374) ^ [_384653] : [in(_384653, _384471), -(in(_384653, _384475)), -(in(_384653, _384473))]]], (871 ^ _356374) ^ [_387247, _387249, _387251] : [-(_387247 = cartesian_product2(_387251, _387249)), 889 ^ _356374 : [(890 ^ _356374) ^ [] : [-(in(887 ^ [_387247, _387249, _387251], _387251))], (892 ^ _356374) ^ [] : [-(in(888 ^ [_387247, _387249, _387251], _387249))], (894 ^ _356374) ^ [] : [-(872 ^ [_387247, _387249, _387251] = ordered_pair(887 ^ [_387247, _387249, _387251], 888 ^ [_387247, _387249, _387251]))], (896 ^ _356374) ^ [] : [in(872 ^ [_387247, _387249, _387251], _387247)]], 875 ^ _356374 : [(876 ^ _356374) ^ [] : [-(in(872 ^ [_387247, _387249, _387251], _387247))], (878 ^ _356374) ^ [_387585, _387587] : [in(_387587, _387251), in(_387585, _387249), 872 ^ [_387247, _387249, _387251] = ordered_pair(_387587, _387585)]]], (841 ^ _356374) ^ [_385990, _385992, _385994] : [_385990 = cartesian_product2(_385994, _385992), 844 ^ _356374 : [(845 ^ _356374) ^ [_386191] : [in(_386191, _385990), 850 ^ _356374 : [(851 ^ _356374) ^ [] : [-(in(848 ^ [_385990, _385992, _385994, _386191], _385994))], (853 ^ _356374) ^ [] : [-(in(849 ^ [_385990, _385992, _385994, _386191], _385992))], (855 ^ _356374) ^ [] : [-(_386191 = ordered_pair(848 ^ [_385990, _385992, _385994, _386191], 849 ^ [_385990, _385992, _385994, _386191]))]]], (857 ^ _356374) ^ [_386751] : [-(in(_386751, _385990)), 858 ^ _356374 : [(859 ^ _356374) ^ [_386881, _386883] : [in(_386883, _385994), in(_386881, _385992), _386751 = ordered_pair(_386883, _386881)]]]]], (900 ^ _356374) ^ [_388481] : [relation(_388481), 903 ^ _356374 : [(904 ^ _356374) ^ [_388639] : [relation(_388639), 907 ^ _356374 : [(918 ^ _356374) ^ [] : [921 ^ _356374 : [(922 ^ _356374) ^ [] : [-(in(ordered_pair(919 ^ [_388481, _388639], 920 ^ [_388481, _388639]), _388481))], (924 ^ _356374) ^ [] : [in(ordered_pair(919 ^ [_388481, _388639], 920 ^ [_388481, _388639]), _388639)]], -(subset(_388481, _388639))], (908 ^ _356374) ^ [] : [subset(_388481, _388639), 911 ^ _356374 : [(912 ^ _356374) ^ [_388915, _388917] : [in(ordered_pair(_388917, _388915), _388481), -(in(ordered_pair(_388917, _388915), _388639))]]]]]]], (938 ^ _356374) ^ [_389878, _389880] : [940 ^ _356374 : [(941 ^ _356374) ^ [] : [-(in(939 ^ [_389878, _389880], _389880))], (943 ^ _356374) ^ [] : [in(939 ^ [_389878, _389880], _389878)]], -(subset(_389880, _389878))], (928 ^ _356374) ^ [_389564, _389566] : [subset(_389566, _389564), 931 ^ _356374 : [(932 ^ _356374) ^ [_389701] : [in(_389701, _389566), -(in(_389701, _389564))]]], (969 ^ _356374) ^ [_391003, _391005, _391007] : [-(_391003 = set_intersection2(_391007, _391005)), 981 ^ _356374 : [(982 ^ _356374) ^ [] : [-(in(970 ^ [_391003, _391005, _391007], _391007))], (984 ^ _356374) ^ [] : [-(in(970 ^ [_391003, _391005, _391007], _391005))], (986 ^ _356374) ^ [] : [in(970 ^ [_391003, _391005, _391007], _391003)]], 973 ^ _356374 : [(974 ^ _356374) ^ [] : [-(in(970 ^ [_391003, _391005, _391007], _391003))], (976 ^ _356374) ^ [] : [in(970 ^ [_391003, _391005, _391007], _391007), in(970 ^ [_391003, _391005, _391007], _391005)]]], (947 ^ _356374) ^ [_390278, _390280, _390282] : [_390278 = set_intersection2(_390282, _390280), 950 ^ _356374 : [(951 ^ _356374) ^ [_390460] : [in(_390460, _390278), 954 ^ _356374 : [(955 ^ _356374) ^ [] : [-(in(_390460, _390282))], (957 ^ _356374) ^ [] : [-(in(_390460, _390280))]]], (959 ^ _356374) ^ [_390719] : [-(in(_390719, _390278)), in(_390719, _390282), in(_390719, _390280)]]], (990 ^ _356374) ^ [_391742] : [relation(_391742), 993 ^ _356374 : [(1011 ^ _356374) ^ [_392554] : [-(_392554 = relation_dom(_391742)), 1015 ^ _356374 : [(1016 ^ _356374) ^ [] : [-(in(1012 ^ [_391742, _392554], _392554))], (1018 ^ _356374) ^ [_392817] : [in(ordered_pair(1012 ^ [_391742, _392554], _392817), _391742)]], 1020 ^ _356374 : [(1021 ^ _356374) ^ [] : [-(in(ordered_pair(1012 ^ [_391742, _392554], 1019 ^ [_391742, _392554]), _391742))], (1023 ^ _356374) ^ [] : [in(1012 ^ [_391742, _392554], _392554)]]], (994 ^ _356374) ^ [_391923] : [_391923 = relation_dom(_391742), 997 ^ _356374 : [(998 ^ _356374) ^ [_392103] : [in(_392103, _391923), -(in(ordered_pair(_392103, 1001 ^ [_391742, _391923, _392103]), _391742))], (1005 ^ _356374) ^ [_392347] : [1006 ^ _356374 : [(1007 ^ _356374) ^ [_392426] : [in(ordered_pair(_392347, _392426), _391742)]], -(in(_392347, _391923))]]]]], (1027 ^ _356374) ^ [_393168] : [-(cast_to_subset(_393168) = _393168)], (1052 ^ _356374) ^ [_394151, _394153] : [-(_394151 = union(_394153)), 1065 ^ _356374 : [(1066 ^ _356374) ^ [] : [-(in(1053 ^ [_394151, _394153], 1064 ^ [_394151, _394153]))], (1068 ^ _356374) ^ [] : [-(in(1064 ^ [_394151, _394153], _394153))], (1070 ^ _356374) ^ [] : [in(1053 ^ [_394151, _394153], _394151)]], 1056 ^ _356374 : [(1057 ^ _356374) ^ [] : [-(in(1053 ^ [_394151, _394153], _394151))], (1059 ^ _356374) ^ [_394434] : [in(1053 ^ [_394151, _394153], _394434), in(_394434, _394153)]]], (1029 ^ _356374) ^ [_393306, _393308] : [_393306 = union(_393308), 1032 ^ _356374 : [(1033 ^ _356374) ^ [_393487] : [in(_393487, _393306), 1037 ^ _356374 : [(1038 ^ _356374) ^ [] : [-(in(_393487, 1036 ^ [_393306, _393308, _393487]))], (1040 ^ _356374) ^ [] : [-(in(1036 ^ [_393306, _393308, _393487], _393308))]]], (1042 ^ _356374) ^ [_393814] : [-(in(_393814, _393306)), 1043 ^ _356374 : [(1044 ^ _356374) ^ [_393912] : [in(_393814, _393912), in(_393912, _393308)]]]]], (1096 ^ _356374) ^ [_395772, _395774, _395776] : [-(_395772 = set_difference(_395776, _395774)), 1108 ^ _356374 : [(1109 ^ _356374) ^ [] : [-(in(1097 ^ [_395772, _395774, _395776], _395776))], (1111 ^ _356374) ^ [] : [in(1097 ^ [_395772, _395774, _395776], _395774)], (1113 ^ _356374) ^ [] : [in(1097 ^ [_395772, _395774, _395776], _395772)]], 1100 ^ _356374 : [(1101 ^ _356374) ^ [] : [-(in(1097 ^ [_395772, _395774, _395776], _395772))], (1103 ^ _356374) ^ [] : [in(1097 ^ [_395772, _395774, _395776], _395776), -(in(1097 ^ [_395772, _395774, _395776], _395774))]]], (1074 ^ _356374) ^ [_395041, _395043, _395045] : [_395041 = set_difference(_395045, _395043), 1077 ^ _356374 : [(1078 ^ _356374) ^ [_395225] : [in(_395225, _395041), 1081 ^ _356374 : [(1082 ^ _356374) ^ [] : [-(in(_395225, _395045))], (1084 ^ _356374) ^ [] : [in(_395225, _395043)]]], (1086 ^ _356374) ^ [_395485] : [-(in(_395485, _395041)), in(_395485, _395045), -(in(_395485, _395043))]]], (1117 ^ _356374) ^ [_396515] : [relation(_396515), 1120 ^ _356374 : [(1138 ^ _356374) ^ [_397327] : [-(_397327 = relation_rng(_396515)), 1142 ^ _356374 : [(1143 ^ _356374) ^ [] : [-(in(1139 ^ [_396515, _397327], _397327))], (1145 ^ _356374) ^ [_397590] : [in(ordered_pair(_397590, 1139 ^ [_396515, _397327]), _396515)]], 1147 ^ _356374 : [(1148 ^ _356374) ^ [] : [-(in(ordered_pair(1146 ^ [_396515, _397327], 1139 ^ [_396515, _397327]), _396515))], (1150 ^ _356374) ^ [] : [in(1139 ^ [_396515, _397327], _397327)]]], (1121 ^ _356374) ^ [_396696] : [_396696 = relation_rng(_396515), 1124 ^ _356374 : [(1125 ^ _356374) ^ [_396876] : [in(_396876, _396696), -(in(ordered_pair(1128 ^ [_396515, _396696, _396876], _396876), _396515))], (1132 ^ _356374) ^ [_397120] : [1133 ^ _356374 : [(1134 ^ _356374) ^ [_397199] : [in(ordered_pair(_397199, _397120), _396515)]], -(in(_397120, _396696))]]]]], (1154 ^ _356374) ^ [_397970, _397972] : [element(_397970, powerset(_397972)), -(subset_complement(_397972, _397970) = set_difference(_397972, _397970))], (1160 ^ _356374) ^ [_398181, _398183] : [-(ordered_pair(_398183, _398181) = unordered_pair(unordered_pair(_398183, _398181), singleton(_398183)))], (1162 ^ _356374) ^ [_398287] : [relation(_398287), -(relation_field(_398287) = set_union2(relation_dom(_398287), relation_rng(_398287)))], (1168 ^ _356374) ^ [_398493] : [relation(_398493), 1171 ^ _356374 : [(1172 ^ _356374) ^ [_398653] : [relation(_398653), 1175 ^ _356374 : [(1192 ^ _356374) ^ [] : [-(_398653 = relation_inverse(_398493)), 1197 ^ _356374 : [(1198 ^ _356374) ^ [] : [-(in(ordered_pair(1193 ^ [_398493, _398653], 1194 ^ [_398493, _398653]), _398653))], (1200 ^ _356374) ^ [] : [in(ordered_pair(1194 ^ [_398493, _398653], 1193 ^ [_398493, _398653]), _398493)]], 1201 ^ _356374 : [(1202 ^ _356374) ^ [] : [-(in(ordered_pair(1194 ^ [_398493, _398653], 1193 ^ [_398493, _398653]), _398493))], (1204 ^ _356374) ^ [] : [in(ordered_pair(1193 ^ [_398493, _398653], 1194 ^ [_398493, _398653]), _398653)]]], (1176 ^ _356374) ^ [] : [_398653 = relation_inverse(_398493), 1179 ^ _356374 : [(1180 ^ _356374) ^ [_398962, _398964] : [in(ordered_pair(_398964, _398962), _398653), -(in(ordered_pair(_398962, _398964), _398493))], (1186 ^ _356374) ^ [_399152, _399154] : [in(ordered_pair(_399152, _399154), _398493), -(in(ordered_pair(_399154, _399152), _398653))]]]]]]], (1208 ^ _356374) ^ [_400000, _400002] : [disjoint(_400002, _400000), -(set_intersection2(_400002, _400000) = empty_set)], (1214 ^ _356374) ^ [_400168, _400170] : [set_intersection2(_400170, _400168) = empty_set, -(disjoint(_400170, _400168))], (1220 ^ _356374) ^ [_400372] : [relation(_400372), 1223 ^ _356374 : [(1224 ^ _356374) ^ [_400557] : [relation(_400557), 1227 ^ _356374 : [(1228 ^ _356374) ^ [_400738] : [relation(_400738), 1231 ^ _356374 : [(1255 ^ _356374) ^ [] : [-(_400738 = relation_composition(_400372, _400557)), 1269 ^ _356374 : [(1270 ^ _356374) ^ [] : [-(in(ordered_pair(1256 ^ [_400372, _400557, _400738], 1268 ^ [_400372, _400557, _400738]), _400372))], (1272 ^ _356374) ^ [] : [-(in(ordered_pair(1268 ^ [_400372, _400557, _400738], 1257 ^ [_400372, _400557, _400738]), _400557))], (1274 ^ _356374) ^ [] : [in(ordered_pair(1256 ^ [_400372, _400557, _400738], 1257 ^ [_400372, _400557, _400738]), _400738)]], 1260 ^ _356374 : [(1261 ^ _356374) ^ [] : [-(in(ordered_pair(1256 ^ [_400372, _400557, _400738], 1257 ^ [_400372, _400557, _400738]), _400738))], (1263 ^ _356374) ^ [_402202] : [in(ordered_pair(1256 ^ [_400372, _400557, _400738], _402202), _400372), in(ordered_pair(_402202, 1257 ^ [_400372, _400557, _400738]), _400557)]]], (1232 ^ _356374) ^ [] : [_400738 = relation_composition(_400372, _400557), 1235 ^ _356374 : [(1236 ^ _356374) ^ [_401073, _401075] : [in(ordered_pair(_401075, _401073), _400738), 1240 ^ _356374 : [(1241 ^ _356374) ^ [] : [-(in(ordered_pair(_401075, 1239 ^ [_400372, _400557, _400738, _401073, _401075]), _400372))], (1243 ^ _356374) ^ [] : [-(in(ordered_pair(1239 ^ [_400372, _400557, _400738, _401073, _401075], _401073), _400557))]]], (1245 ^ _356374) ^ [_401458, _401460] : [-(in(ordered_pair(_401460, _401458), _400738)), 1246 ^ _356374 : [(1247 ^ _356374) ^ [_401571] : [in(ordered_pair(_401460, _401571), _400372), in(ordered_pair(_401571, _401458), _400557)]]]]]]]]]]], (1278 ^ _356374) ^ [_402888, _402890] : [element(_402888, powerset(powerset(_402890))), 1281 ^ _356374 : [(1282 ^ _356374) ^ [_403068] : [element(_403068, powerset(powerset(_402890))), 1285 ^ _356374 : [(1306 ^ _356374) ^ [] : [-(_403068 = complements_of_subsets(_402890, _402888)), 1308 ^ _356374 : [(1309 ^ _356374) ^ [] : [-(element(1307 ^ [_402888, _402890, _403068], powerset(_402890)))], (1311 ^ _356374) ^ [] : [1312 ^ _356374 : [(1313 ^ _356374) ^ [] : [-(in(1307 ^ [_402888, _402890, _403068], _403068))], (1315 ^ _356374) ^ [] : [in(subset_complement(_402890, 1307 ^ [_402888, _402890, _403068]), _402888)]], 1316 ^ _356374 : [(1317 ^ _356374) ^ [] : [-(in(subset_complement(_402890, 1307 ^ [_402888, _402890, _403068]), _402888))], (1319 ^ _356374) ^ [] : [in(1307 ^ [_402888, _402890, _403068], _403068)]]]]], (1286 ^ _356374) ^ [] : [_403068 = complements_of_subsets(_402890, _402888), 1289 ^ _356374 : [(1290 ^ _356374) ^ [_403356] : [element(_403356, powerset(_402890)), 1293 ^ _356374 : [(1294 ^ _356374) ^ [] : [in(_403356, _403068), -(in(subset_complement(_402890, _403356), _402888))], (1300 ^ _356374) ^ [] : [in(subset_complement(_402890, _403356), _402888), -(in(_403356, _403068))]]]]]]]]], (1323 ^ _356374) ^ [_404479, _404481] : [proper_subset(_404481, _404479), 1326 ^ _356374 : [(1327 ^ _356374) ^ [] : [-(subset(_404481, _404479))], (1329 ^ _356374) ^ [] : [_404481 = _404479]]], (1331 ^ _356374) ^ [_404717, _404719] : [-(proper_subset(_404719, _404717)), subset(_404719, _404717), -(_404719 = _404717)], (1341 ^ _356374) ^ [] : [true___, -(true___)], (1347 ^ _356374) ^ [] : [true___, -(true___)], (1353 ^ _356374) ^ [] : [true___, -(true___)], (1359 ^ _356374) ^ [] : [true___, -(true___)], (1365 ^ _356374) ^ [] : [true___, -(true___)], (1371 ^ _356374) ^ [] : [true___, -(true___)], (1377 ^ _356374) ^ [_405706] : [-(element(cast_to_subset(_405706), powerset(_405706)))], (1379 ^ _356374) ^ [] : [true___, -(true___)], (1385 ^ _356374) ^ [] : [true___, -(true___)], (1391 ^ _356374) ^ [] : [true___, -(true___)], (1397 ^ _356374) ^ [] : [true___, -(true___)], (1403 ^ _356374) ^ [_406293, _406295] : [element(_406293, powerset(_406295)), -(element(subset_complement(_406295, _406293), powerset(_406295)))], (1409 ^ _356374) ^ [] : [true___, -(true___)], (1415 ^ _356374) ^ [] : [true___, -(true___)], (1421 ^ _356374) ^ [_406741] : [relation(_406741), -(relation(relation_inverse(_406741)))], (1427 ^ _356374) ^ [] : [true___, -(true___)], (1433 ^ _356374) ^ [] : [true___, -(true___)], (1439 ^ _356374) ^ [_407183, _407185] : [-(relation(relation_composition(_407185, _407183))), relation(_407185), relation(_407183)], (1449 ^ _356374) ^ [_407482, _407484] : [element(_407482, powerset(powerset(_407484))), -(element(union_of_subsets(_407484, _407482), powerset(_407484)))], (1455 ^ _356374) ^ [_407681] : [-(relation(identity_relation(_407681)))], (1457 ^ _356374) ^ [_407789, _407791] : [element(_407789, powerset(powerset(_407791))), -(element(meet_of_subsets(_407791, _407789), powerset(_407791)))], (1463 ^ _356374) ^ [_408031, _408033, _408035] : [-(element(subset_difference(_408035, _408033, _408031), powerset(_408035))), element(_408033, powerset(_408035)), element(_408031, powerset(_408035))], (1473 ^ _356374) ^ [_408360, _408362] : [relation(_408362), -(relation(relation_dom_restriction(_408362, _408360)))], (1479 ^ _356374) ^ [_408572, _408574] : [element(_408572, powerset(powerset(_408574))), -(element(complements_of_subsets(_408574, _408572), powerset(powerset(_408574))))], (1485 ^ _356374) ^ [_408804, _408806] : [relation(_408804), -(relation(relation_rng_restriction(_408806, _408804)))], (1491 ^ _356374) ^ [] : [true___, -(true___)], (1498 ^ _356374) ^ [_409145] : [-(element(1496 ^ [_409145], _409145))], (1500 ^ _356374) ^ [_409257, _409259] : [1507 ^ _356374 : [(1508 ^ _356374) ^ [] : [-(empty(relation_composition(_409257, _409259)))], (1510 ^ _356374) ^ [] : [-(relation(relation_composition(_409257, _409259)))]], empty(_409259), relation(_409257)], (1512 ^ _356374) ^ [_409635, _409637] : [-(relation(set_intersection2(_409637, _409635))), relation(_409637), relation(_409635)], (1522 ^ _356374) ^ [_409904] : [empty(powerset(_409904))], (1524 ^ _356374) ^ [] : [-(empty(empty_set))], (1526 ^ _356374) ^ [_410049, _410051] : [empty(ordered_pair(_410051, _410049))], (1528 ^ _356374) ^ [_410160, _410162] : [-(relation(set_union2(_410162, _410160))), relation(_410162), relation(_410160)], (1538 ^ _356374) ^ [_410429] : [empty(singleton(_410429))], (1540 ^ _356374) ^ [_410537, _410539] : [-(empty(_410539)), empty(set_union2(_410539, _410537))], (1546 ^ _356374) ^ [_410737, _410739] : [empty(unordered_pair(_410739, _410737))], (1548 ^ _356374) ^ [_410848, _410850] : [-(empty(_410850)), empty(set_union2(_410848, _410850))], (1554 ^ _356374) ^ [] : [-(empty(empty_set))], (1556 ^ _356374) ^ [] : [-(relation(empty_set))], (1558 ^ _356374) ^ [_411172, _411174] : [empty(cartesian_product2(_411174, _411172)), -(empty(_411174)), -(empty(_411172))], (1568 ^ _356374) ^ [_411464] : [empty(relation_dom(_411464)), -(empty(_411464)), relation(_411464)], (1578 ^ _356374) ^ [_411741] : [empty(relation_rng(_411741)), -(empty(_411741)), relation(_411741)], (1588 ^ _356374) ^ [_412018] : [empty(_412018), 1591 ^ _356374 : [(1592 ^ _356374) ^ [] : [-(empty(relation_dom(_412018)))], (1594 ^ _356374) ^ [] : [-(relation(relation_dom(_412018)))]]], (1596 ^ _356374) ^ [_412283] : [empty(_412283), 1599 ^ _356374 : [(1600 ^ _356374) ^ [] : [-(empty(relation_rng(_412283)))], (1602 ^ _356374) ^ [] : [-(relation(relation_rng(_412283)))]]], (1604 ^ _356374) ^ [_412562, _412564] : [1611 ^ _356374 : [(1612 ^ _356374) ^ [] : [-(empty(relation_composition(_412564, _412562)))], (1614 ^ _356374) ^ [] : [-(relation(relation_composition(_412564, _412562)))]], empty(_412564), relation(_412562)], (1616 ^ _356374) ^ [_412925, _412927] : [-(set_union2(_412927, _412927) = _412927)], (1618 ^ _356374) ^ [_413022, _413024] : [-(set_intersection2(_413024, _413024) = _413024)], (1620 ^ _356374) ^ [_413134, _413136] : [element(_413134, powerset(_413136)), -(subset_complement(_413136, subset_complement(_413136, _413134)) = _413134)], (1626 ^ _356374) ^ [_413346] : [relation(_413346), -(relation_inverse(relation_inverse(_413346)) = _413346)], (1632 ^ _356374) ^ [_413556, _413558] : [element(_413556, powerset(powerset(_413558))), -(complements_of_subsets(_413558, complements_of_subsets(_413558, _413556)) = _413556)], (1638 ^ _356374) ^ [_413770, _413772] : [proper_subset(_413772, _413772)], (1640 ^ _356374) ^ [_413849] : [singleton(_413849) = empty_set], (1642 ^ _356374) ^ [_413958, _413960] : [in(_413960, _413958), -(set_union2(singleton(_413960), _413958) = _413958)], (1648 ^ _356374) ^ [_414178, _414180] : [disjoint(singleton(_414180), _414178), in(_414180, _414178)], (1654 ^ _356374) ^ [_414391, _414393] : [-(in(_414393, _414391)), -(disjoint(singleton(_414393), _414391))], (1660 ^ _356374) ^ [_414637, _414639] : [subset(singleton(_414639), _414637), -(in(_414639, _414637))], (1666 ^ _356374) ^ [_414803, _414805] : [in(_414805, _414803), -(subset(singleton(_414805), _414803))], (1672 ^ _356374) ^ [_415048, _415050] : [set_difference(_415050, _415048) = empty_set, -(subset(_415050, _415048))], (1678 ^ _356374) ^ [_415216, _415218] : [subset(_415218, _415216), -(set_difference(_415218, _415216) = empty_set)], (1684 ^ _356374) ^ [_415434, _415436] : [element(_415434, powerset(_415436)), 1687 ^ _356374 : [(1688 ^ _356374) ^ [_415575] : [in(_415575, _415434), -(in(_415575, _415436))]]], (1694 ^ _356374) ^ [_415814, _415816, _415818] : [subset(_415818, _415816), -(in(_415814, _415818)), -(subset(_415818, set_difference(_415816, singleton(_415814))))], (1714 ^ _356374) ^ [_416423, _416425] : [1715 ^ _356374 : [(1716 ^ _356374) ^ [] : [_416425 = empty_set], (1718 ^ _356374) ^ [] : [_416425 = singleton(_416423)]], -(subset(_416425, singleton(_416423)))], (1704 ^ _356374) ^ [_416163, _416165] : [subset(_416165, singleton(_416163)), -(_416165 = empty_set), -(_416165 = singleton(_416163))], (1722 ^ _356374) ^ [_416717, _416719] : [in(_416719, _416717), -(subset(_416719, union(_416717)))], (1728 ^ _356374) ^ [_416988, _416990, _416992, _416994] : [in(ordered_pair(_416994, _416992), cartesian_product2(_416990, _416988)), 1731 ^ _356374 : [(1732 ^ _356374) ^ [] : [-(in(_416994, _416990))], (1734 ^ _356374) ^ [] : [-(in(_416992, _416988))]]], (1736 ^ _356374) ^ [_417253, _417255, _417257, _417259] : [-(in(ordered_pair(_417259, _417257), cartesian_product2(_417255, _417253))), in(_417259, _417255), in(_417257, _417253)], (1746 ^ _356374) ^ [_417586, _417588] : [1748 ^ _356374 : [(1749 ^ _356374) ^ [] : [-(in(1747 ^ [_417586, _417588], _417588))], (1751 ^ _356374) ^ [] : [in(1747 ^ [_417586, _417588], _417586)]], -(element(_417588, powerset(_417586)))], (1756 ^ _356374) ^ [] : [-(empty(1754 ^ []))], (1758 ^ _356374) ^ [] : [-(relation(1754 ^ []))], (1760 ^ _356374) ^ [_418080] : [-(empty(_418080)), 1764 ^ _356374 : [(1765 ^ _356374) ^ [] : [-(element(1763 ^ [_418080], powerset(_418080)))], (1767 ^ _356374) ^ [] : [empty(1763 ^ [_418080])]]], (1770 ^ _356374) ^ [] : [-(empty(1768 ^ []))], (1773 ^ _356374) ^ [] : [empty(1771 ^ [])], (1775 ^ _356374) ^ [] : [-(relation(1771 ^ []))], (1778 ^ _356374) ^ [_418702] : [-(element(1776 ^ [_418702], powerset(_418702)))], (1780 ^ _356374) ^ [_418753] : [-(empty(1776 ^ [_418753]))], (1783 ^ _356374) ^ [] : [empty(1781 ^ [])], (1785 ^ _356374) ^ [_418956, _418958] : [element(_418956, powerset(powerset(_418958))), -(union_of_subsets(_418958, _418956) = union(_418956))], (1791 ^ _356374) ^ [_419184, _419186] : [element(_419184, powerset(powerset(_419186))), -(meet_of_subsets(_419186, _419184) = set_meet(_419184))], (1797 ^ _356374) ^ [_419426, _419428, _419430] : [-(subset_difference(_419430, _419428, _419426) = set_difference(_419428, _419426)), element(_419428, powerset(_419430)), element(_419426, powerset(_419430))], (1807 ^ _356374) ^ [_419742, _419744] : [-(subset(_419744, _419744))], (1809 ^ _356374) ^ [_419851, _419853] : [disjoint(_419853, _419851), -(disjoint(_419851, _419853))], (1815 ^ _356374) ^ [_420118, _420120, _420122, _420124] : [in(ordered_pair(_420124, _420122), cartesian_product2(_420120, _420118)), 1818 ^ _356374 : [(1819 ^ _356374) ^ [] : [-(in(_420124, _420120))], (1821 ^ _356374) ^ [] : [-(in(_420122, _420118))]]], (1823 ^ _356374) ^ [_420383, _420385, _420387, _420389] : [-(in(ordered_pair(_420389, _420387), cartesian_product2(_420385, _420383))), in(_420389, _420385), in(_420387, _420383)], (1833 ^ _356374) ^ [_420744, _420746, _420748, _420750] : [unordered_pair(_420750, _420748) = unordered_pair(_420746, _420744), -(_420750 = _420746), -(_420750 = _420744)], (1843 ^ _356374) ^ [_421094, _421096, _421098] : [relation(_421094), 1846 ^ _356374 : [(1847 ^ _356374) ^ [] : [in(_421098, relation_rng(relation_rng_restriction(_421096, _421094))), 1850 ^ _356374 : [(1851 ^ _356374) ^ [] : [-(in(_421098, _421096))], (1853 ^ _356374) ^ [] : [-(in(_421098, relation_rng(_421094)))]]], (1855 ^ _356374) ^ [] : [-(in(_421098, relation_rng(relation_rng_restriction(_421096, _421094)))), in(_421098, _421096), in(_421098, relation_rng(_421094))]]], (1865 ^ _356374) ^ [_421753, _421755] : [relation(_421753), -(subset(relation_rng(relation_rng_restriction(_421755, _421753)), _421755))], (1871 ^ _356374) ^ [_421971, _421973] : [relation(_421971), -(subset(relation_rng_restriction(_421973, _421971), _421971))], (1877 ^ _356374) ^ [_422185, _422187] : [relation(_422185), -(subset(relation_rng(relation_rng_restriction(_422187, _422185)), relation_rng(_422185)))], (1883 ^ _356374) ^ [_422421, _422423, _422425] : [subset(_422425, _422423), 1886 ^ _356374 : [(1887 ^ _356374) ^ [] : [-(subset(cartesian_product2(_422425, _422421), cartesian_product2(_422423, _422421)))], (1889 ^ _356374) ^ [] : [-(subset(cartesian_product2(_422421, _422425), cartesian_product2(_422421, _422423)))]]], (1891 ^ _356374) ^ [_422766, _422768, _422770, _422772] : [-(subset(cartesian_product2(_422772, _422768), cartesian_product2(_422770, _422766))), subset(_422772, _422770), subset(_422768, _422766)], (1901 ^ _356374) ^ [_423097, _423099] : [subset(_423099, _423097), -(set_union2(_423099, _423097) = _423097)], (1908 ^ _356374) ^ [_423419] : [-(in(_423419, 1906 ^ [_423419]))], (1910 ^ _356374) ^ [_423531, _423533, _423535] : [-(in(_423531, 1906 ^ [_423535])), in(_423533, 1906 ^ [_423535]), subset(_423531, _423533)], (1920 ^ _356374) ^ [_423846, _423848] : [in(_423846, 1906 ^ [_423848]), -(in(powerset(_423846), 1906 ^ [_423848]))], (1926 ^ _356374) ^ [_424046, _424048] : [subset(_424046, 1906 ^ [_424048]), -(are_equipotent(_424046, 1906 ^ [_424048])), -(in(_424046, 1906 ^ [_424048]))], (1936 ^ _356374) ^ [_424371, _424373] : [-(subset(set_intersection2(_424373, _424371), _424373))], (1938 ^ _356374) ^ [_424497, _424499, _424501] : [-(subset(_424501, set_intersection2(_424499, _424497))), subset(_424501, _424499), subset(_424501, _424497)], (1948 ^ _356374) ^ [_424783] : [-(set_union2(_424783, empty_set) = _424783)], (1950 ^ _356374) ^ [_424893, _424895] : [in(_424895, _424893), -(element(_424895, _424893))], (1956 ^ _356374) ^ [_425117, _425119, _425121] : [-(subset(_425121, _425117)), subset(_425121, _425119), subset(_425119, _425117)], (1966 ^ _356374) ^ [] : [-(powerset(empty_set) = singleton(empty_set))], (1968 ^ _356374) ^ [_425493, _425495, _425497] : [relation(_425493), in(ordered_pair(_425497, _425495), _425493), 1975 ^ _356374 : [(1976 ^ _356374) ^ [] : [-(in(_425497, relation_dom(_425493)))], (1978 ^ _356374) ^ [] : [-(in(_425495, relation_rng(_425493)))]]], (1980 ^ _356374) ^ [_425877] : [relation(_425877), -(subset(_425877, cartesian_product2(relation_dom(_425877), relation_rng(_425877))))], (1986 ^ _356374) ^ [_426079] : [relation(_426079), 1989 ^ _356374 : [(1990 ^ _356374) ^ [_426229] : [relation(_426229), subset(_426079, _426229), 1997 ^ _356374 : [(1998 ^ _356374) ^ [] : [-(subset(relation_dom(_426079), relation_dom(_426229)))], (2000 ^ _356374) ^ [] : [-(subset(relation_rng(_426079), relation_rng(_426229)))]]]]], (2002 ^ _356374) ^ [_426638, _426640, _426642] : [subset(_426642, _426640), -(subset(set_intersection2(_426642, _426638), set_intersection2(_426640, _426638)))], (2008 ^ _356374) ^ [_426866, _426868] : [subset(_426868, _426866), -(set_intersection2(_426868, _426866) = _426868)], (2014 ^ _356374) ^ [_427053] : [-(set_intersection2(_427053, empty_set) = empty_set)], (2016 ^ _356374) ^ [_427163, _427165] : [element(_427165, _427163), -(empty(_427163)), -(in(_427165, _427163))], (2026 ^ _356374) ^ [_427461, _427463] : [-(_427463 = _427461), 2030 ^ _356374 : [(2031 ^ _356374) ^ [] : [-(in(2027 ^ [_427461, _427463], _427463))], (2033 ^ _356374) ^ [] : [in(2027 ^ [_427461, _427463], _427461)]], 2034 ^ _356374 : [(2035 ^ _356374) ^ [] : [-(in(2027 ^ [_427461, _427463], _427461))], (2037 ^ _356374) ^ [] : [in(2027 ^ [_427461, _427463], _427463)]]], (2041 ^ _356374) ^ [_427962] : [-(subset(empty_set, _427962))], (2043 ^ _356374) ^ [_428083, _428085, _428087] : [relation(_428083), in(ordered_pair(_428087, _428085), _428083), 2050 ^ _356374 : [(2051 ^ _356374) ^ [] : [-(in(_428087, relation_field(_428083)))], (2053 ^ _356374) ^ [] : [-(in(_428085, relation_field(_428083)))]]], (2055 ^ _356374) ^ [_428495, _428497, _428499] : [subset(_428499, _428497), -(subset(set_difference(_428499, _428495), set_difference(_428497, _428495)))], (2061 ^ _356374) ^ [_428751, _428753, _428755, _428757] : [ordered_pair(_428757, _428755) = ordered_pair(_428753, _428751), 2064 ^ _356374 : [(2065 ^ _356374) ^ [] : [-(_428757 = _428753)], (2067 ^ _356374) ^ [] : [-(_428755 = _428751)]]], (2069 ^ _356374) ^ [_429049, _429051] : [-(subset(set_difference(_429051, _429049), _429051))], (2071 ^ _356374) ^ [_429147] : [relation(_429147), 2074 ^ _356374 : [(2075 ^ _356374) ^ [] : [-(relation_rng(_429147) = relation_dom(relation_inverse(_429147)))], (2077 ^ _356374) ^ [] : [-(relation_dom(_429147) = relation_rng(relation_inverse(_429147)))]]], (2079 ^ _356374) ^ [_429475, _429477] : [set_difference(_429477, _429475) = empty_set, -(subset(_429477, _429475))], (2085 ^ _356374) ^ [_429643, _429645] : [subset(_429645, _429643), -(set_difference(_429645, _429643) = empty_set)], (2091 ^ _356374) ^ [_429890, _429892] : [subset(singleton(_429892), _429890), -(in(_429892, _429890))], (2097 ^ _356374) ^ [_430056, _430058] : [in(_430058, _430056), -(subset(singleton(_430058), _430056))], (2103 ^ _356374) ^ [_430315, _430317, _430319] : [subset(unordered_pair(_430319, _430317), _430315), 2106 ^ _356374 : [(2107 ^ _356374) ^ [] : [-(in(_430319, _430315))], (2109 ^ _356374) ^ [] : [-(in(_430317, _430315))]]], (2111 ^ _356374) ^ [_430566, _430568, _430570] : [-(subset(unordered_pair(_430570, _430568), _430566)), in(_430570, _430566), in(_430568, _430566)], (2121 ^ _356374) ^ [_430868, _430870] : [-(set_union2(_430870, set_difference(_430868, _430870)) = set_union2(_430870, _430868))], (2133 ^ _356374) ^ [_431275, _431277] : [2134 ^ _356374 : [(2135 ^ _356374) ^ [] : [_431277 = empty_set], (2137 ^ _356374) ^ [] : [_431277 = singleton(_431275)]], -(subset(_431277, singleton(_431275)))], (2123 ^ _356374) ^ [_431015, _431017] : [subset(_431017, singleton(_431015)), -(_431017 = empty_set), -(_431017 = singleton(_431015))], (2141 ^ _356374) ^ [_431540] : [-(set_difference(_431540, empty_set) = _431540)], (2143 ^ _356374) ^ [_431679, _431681] : [element(_431681, powerset(_431679)), -(subset(_431681, _431679))], (2149 ^ _356374) ^ [_431845, _431847] : [subset(_431847, _431845), -(element(_431847, powerset(_431845)))], (2155 ^ _356374) ^ [_432081, _432083] : [-(disjoint(_432083, _432081)), 2159 ^ _356374 : [(2160 ^ _356374) ^ [] : [-(in(2158 ^ [_432081, _432083], _432083))], (2162 ^ _356374) ^ [] : [-(in(2158 ^ [_432081, _432083], _432081))]]], (2164 ^ _356374) ^ [_432395, _432397] : [disjoint(_432397, _432395), 2165 ^ _356374 : [(2166 ^ _356374) ^ [_432487] : [in(_432487, _432397), in(_432487, _432395)]]], (2174 ^ _356374) ^ [_432744] : [subset(_432744, empty_set), -(_432744 = empty_set)], (2180 ^ _356374) ^ [_432933, _432935] : [-(set_difference(set_union2(_432935, _432933), _432933) = set_difference(_432935, _432933))], (2182 ^ _356374) ^ [_433051, _433053] : [element(_433051, powerset(_433053)), 2185 ^ _356374 : [(2186 ^ _356374) ^ [_433203] : [element(_433203, powerset(_433053)), 2189 ^ _356374 : [(2190 ^ _356374) ^ [] : [disjoint(_433051, _433203), -(subset(_433051, subset_complement(_433053, _433203)))], (2196 ^ _356374) ^ [] : [subset(_433051, subset_complement(_433053, _433203)), -(disjoint(_433051, _433203))]]]]], (2202 ^ _356374) ^ [_433687] : [relation(_433687), 2205 ^ _356374 : [(2206 ^ _356374) ^ [_433824] : [relation(_433824), -(subset(relation_dom(relation_composition(_433687, _433824)), relation_dom(_433687)))]]], (2212 ^ _356374) ^ [_434039] : [relation(_434039), 2215 ^ _356374 : [(2216 ^ _356374) ^ [_434176] : [relation(_434176), -(subset(relation_rng(relation_composition(_434039, _434176)), relation_rng(_434176)))]]], (2222 ^ _356374) ^ [_434405, _434407] : [subset(_434407, _434405), -(_434405 = set_union2(_434407, set_difference(_434405, _434407)))], (2228 ^ _356374) ^ [_434613] : [relation(_434613), 2231 ^ _356374 : [(2232 ^ _356374) ^ [_434760] : [relation(_434760), subset(relation_rng(_434613), relation_dom(_434760)), -(relation_dom(relation_composition(_434613, _434760)) = relation_dom(_434613))]]], (2242 ^ _356374) ^ [_435086, _435088] : [element(_435086, powerset(powerset(_435088))), -(_435086 = empty_set), complements_of_subsets(_435088, _435086) = empty_set], (2252 ^ _356374) ^ [_435403, _435405] : [in(_435405, _435403), -(set_union2(singleton(_435405), _435403) = _435403)], (2258 ^ _356374) ^ [_435609] : [relation(_435609), 2261 ^ _356374 : [(2262 ^ _356374) ^ [_435756] : [relation(_435756), subset(relation_dom(_435609), relation_rng(_435756)), -(relation_rng(relation_composition(_435756, _435609)) = relation_rng(_435609))]]], (2272 ^ _356374) ^ [_436082, _436084] : [element(_436082, powerset(powerset(_436084))), -(_436082 = empty_set), -(subset_difference(_436084, cast_to_subset(_436084), union_of_subsets(_436084, _436082)) = meet_of_subsets(_436084, complements_of_subsets(_436084, _436082)))], (2282 ^ _356374) ^ [_436422, _436424] : [element(_436422, powerset(powerset(_436424))), -(_436422 = empty_set), -(union_of_subsets(_436424, complements_of_subsets(_436424, _436422)) = subset_difference(_436424, cast_to_subset(_436424), meet_of_subsets(_436424, _436422)))], (2292 ^ _356374) ^ [_436747, _436749] : [-(set_difference(_436749, set_difference(_436749, _436747)) = set_intersection2(_436749, _436747))], (2294 ^ _356374) ^ [_436836] : [-(set_difference(empty_set, _436836) = empty_set)], (2296 ^ _356374) ^ [_436960, _436962, _436964] : [-(element(_436964, _436960)), in(_436964, _436962), element(_436962, powerset(_436960))], (2306 ^ _356374) ^ [_437293, _437295] : [-(disjoint(_437295, _437293)), -(in(2309 ^ [_437293, _437295], set_intersection2(_437295, _437293)))], (2313 ^ _356374) ^ [_437528, _437530] : [2314 ^ _356374 : [(2315 ^ _356374) ^ [_437601] : [in(_437601, set_intersection2(_437530, _437528))]], disjoint(_437530, _437528)], (2319 ^ _356374) ^ [_437753] : [-(_437753 = empty_set), 2322 ^ _356374 : [(2323 ^ _356374) ^ [_437913] : [element(_437913, powerset(_437753)), 2326 ^ _356374 : [(2327 ^ _356374) ^ [_438067] : [element(_438067, _437753), -(in(_438067, _437913)), -(in(_438067, subset_complement(_437753, _437913)))]]]]], (2337 ^ _356374) ^ [_438413, _438415, _438417] : [element(_438413, powerset(_438417)), in(_438415, subset_complement(_438417, _438413)), in(_438415, _438413)], (2347 ^ _356374) ^ [_438719] : [relation(_438719), -(in(ordered_pair(2352 ^ [_438719], 2353 ^ [_438719]), _438719)), -(_438719 = empty_set)], (2359 ^ _356374) ^ [_439151, _439153, _439155] : [in(_439155, _439153), element(_439153, powerset(_439151)), empty(_439151)], (2369 ^ _356374) ^ [] : [-(relation_dom(empty_set) = empty_set)], (2371 ^ _356374) ^ [] : [-(relation_rng(empty_set) = empty_set)], (2373 ^ _356374) ^ [_439569, _439571] : [subset(_439571, _439569), proper_subset(_439569, _439571)], (2379 ^ _356374) ^ [_439792, _439794, _439796] : [-(disjoint(_439796, _439792)), subset(_439796, _439794), disjoint(_439794, _439792)], (2389 ^ _356374) ^ [_440087] : [relation(_440087), 2394 ^ _356374 : [(2395 ^ _356374) ^ [] : [relation_dom(_440087) = empty_set], (2397 ^ _356374) ^ [] : [relation_rng(_440087) = empty_set]], -(_440087 = empty_set)], (2401 ^ _356374) ^ [_440440] : [relation(_440440), 2404 ^ _356374 : [(2405 ^ _356374) ^ [] : [relation_dom(_440440) = empty_set, -(relation_rng(_440440) = empty_set)], (2411 ^ _356374) ^ [] : [relation_rng(_440440) = empty_set, -(relation_dom(_440440) = empty_set)]]], (2417 ^ _356374) ^ [_440923, _440925] : [set_difference(_440925, singleton(_440923)) = _440925, in(_440923, _440925)], (2423 ^ _356374) ^ [_441096, _441098] : [-(in(_441096, _441098)), -(set_difference(_441098, singleton(_441096)) = _441098)], (2429 ^ _356374) ^ [_441292] : [-(unordered_pair(_441292, _441292) = singleton(_441292))], (2431 ^ _356374) ^ [_441390] : [empty(_441390), -(_441390 = empty_set)], (2437 ^ _356374) ^ [_441592, _441594] : [subset(singleton(_441594), singleton(_441592)), -(_441594 = _441592)], (2443 ^ _356374) ^ [_441801] : [-(relation_dom(identity_relation(_441801)) = _441801)], (2445 ^ _356374) ^ [_441849] : [-(relation_rng(identity_relation(_441849)) = _441849)], (2447 ^ _356374) ^ [_441990, _441992, _441994, _441996] : [relation(_441990), 2450 ^ _356374 : [(2451 ^ _356374) ^ [] : [in(ordered_pair(_441996, _441994), relation_composition(identity_relation(_441992), _441990)), 2454 ^ _356374 : [(2455 ^ _356374) ^ [] : [-(in(_441996, _441992))], (2457 ^ _356374) ^ [] : [-(in(ordered_pair(_441996, _441994), _441990))]]], (2459 ^ _356374) ^ [] : [-(in(ordered_pair(_441996, _441994), relation_composition(identity_relation(_441992), _441990))), in(_441996, _441992), in(ordered_pair(_441996, _441994), _441990)]]], (2469 ^ _356374) ^ [_442683, _442685] : [in(_442685, _442683), empty(_442683)], (2475 ^ _356374) ^ [_442875, _442877] : [-(subset(_442877, set_union2(_442877, _442875)))], (2477 ^ _356374) ^ [_443016, _443018] : [disjoint(_443018, _443016), -(set_difference(_443018, _443016) = _443018)], (2483 ^ _356374) ^ [_443184, _443186] : [set_difference(_443186, _443184) = _443186, -(disjoint(_443186, _443184))], (2489 ^ _356374) ^ [_443416, _443418, _443420] : [relation(_443416), 2492 ^ _356374 : [(2493 ^ _356374) ^ [] : [in(_443420, relation_dom(relation_dom_restriction(_443416, _443418))), 2496 ^ _356374 : [(2497 ^ _356374) ^ [] : [-(in(_443420, _443418))], (2499 ^ _356374) ^ [] : [-(in(_443420, relation_dom(_443416)))]]], (2501 ^ _356374) ^ [] : [-(in(_443420, relation_dom(relation_dom_restriction(_443416, _443418)))), in(_443420, _443418), in(_443420, relation_dom(_443416))]]], (2511 ^ _356374) ^ [_444075, _444077] : [relation(_444075), -(subset(relation_dom_restriction(_444075, _444077), _444075))], (2517 ^ _356374) ^ [_444289, _444291] : [empty(_444291), -(_444291 = _444289), empty(_444289)], (2527 ^ _356374) ^ [_444600, _444602, _444604] : [-(subset(set_union2(_444604, _444600), _444602)), subset(_444604, _444602), subset(_444600, _444602)], (2537 ^ _356374) ^ [_444929, _444931, _444933] : [singleton(_444933) = unordered_pair(_444931, _444929), -(_444933 = _444931)], (2543 ^ _356374) ^ [_445155, _445157] : [relation(_445155), -(relation_dom(relation_dom_restriction(_445155, _445157)) = set_intersection2(relation_dom(_445155), _445157))], (2549 ^ _356374) ^ [_445383, _445385] : [in(_445385, _445383), -(subset(_445385, union(_445383)))], (2555 ^ _356374) ^ [_445597, _445599] : [relation(_445597), -(relation_dom_restriction(_445597, _445599) = relation_composition(identity_relation(_445599), _445597))], (2561 ^ _356374) ^ [_445821, _445823] : [relation(_445821), -(subset(relation_rng(relation_dom_restriction(_445821, _445823)), relation_rng(_445821)))], (2567 ^ _356374) ^ [_446014] : [-(union(powerset(_446014)) = _446014)], (2605 ^ _356374) ^ [_447535, _447537, _447539] : [singleton(_447539) = unordered_pair(_447537, _447535), -(_447537 = _447535)], (2570 ^ _356374) ^ [_446255] : [-(in(_446255, 2568 ^ [_446255]))], (2572 ^ _356374) ^ [_446367, _446369, _446371] : [-(in(_446367, 2568 ^ [_446371])), in(_446369, 2568 ^ [_446371]), subset(_446367, _446369)], (2582 ^ _356374) ^ [_446682, _446684] : [in(_446682, 2568 ^ [_446684]), 2586 ^ _356374 : [(2587 ^ _356374) ^ [] : [-(in(2585 ^ [_446682, _446684], 2568 ^ [_446684]))], (2589 ^ _356374) ^ [_446994] : [subset(_446994, _446682), -(in(_446994, 2585 ^ [_446682, _446684]))]]], (2595 ^ _356374) ^ [_447201, _447203] : [subset(_447201, 2568 ^ [_447203]), -(are_equipotent(_447201, 2568 ^ [_447203])), -(in(_447201, 2568 ^ [_447203]))]], input).
% 17.36/17.89  ncf('1',plain,[relation_rng(relation_rng_restriction(2610 ^ [], 2611 ^ [])) = set_intersection2(relation_rng(2611 ^ []), 2610 ^ [])],start(2615 ^ 0)).
% 17.36/17.89  ncf('1.1',plain,[-(relation_rng(relation_rng_restriction(2610 ^ [], 2611 ^ [])) = set_intersection2(relation_rng(2611 ^ []), 2610 ^ [])), 982 : -(in(970 ^ [relation_rng(relation_rng_restriction(2610 ^ [], 2611 ^ [])), 2610 ^ [], relation_rng(2611 ^ [])], relation_rng(2611 ^ []))), 976 : in(970 ^ [relation_rng(relation_rng_restriction(2610 ^ [], 2611 ^ [])), 2610 ^ [], relation_rng(2611 ^ [])], relation_rng(2611 ^ [])), 976 : in(970 ^ [relation_rng(relation_rng_restriction(2610 ^ [], 2611 ^ [])), 2610 ^ [], relation_rng(2611 ^ [])], 2610 ^ [])],extension(969 ^ 1,bind([[_391003, _391005, _391007], [relation_rng(relation_rng_restriction(2610 ^ [], 2611 ^ [])), 2610 ^ [], relation_rng(2611 ^ [])]]))).
% 17.36/17.89  ncf('1.1.1',plain,[in(970 ^ [relation_rng(relation_rng_restriction(2610 ^ [], 2611 ^ [])), 2610 ^ [], relation_rng(2611 ^ [])], relation_rng(2611 ^ [])), 1855 : -(in(970 ^ [relation_rng(relation_rng_restriction(2610 ^ [], 2611 ^ [])), 2610 ^ [], relation_rng(2611 ^ [])], relation_rng(relation_rng_restriction(2610 ^ [], 2611 ^ [])))), 1855 : in(970 ^ [relation_rng(relation_rng_restriction(2610 ^ [], 2611 ^ [])), 2610 ^ [], relation_rng(2611 ^ [])], 2610 ^ []), 1855 : relation(2611 ^ [])],extension(1843 ^ 4,bind([[_421094, _421096, _421098], [2611 ^ [], 2610 ^ [], 970 ^ [relation_rng(relation_rng_restriction(2610 ^ [], 2611 ^ [])), 2610 ^ [], relation_rng(2611 ^ [])]]]))).
% 17.36/17.89  ncf('1.1.1.1',plain,[in(970 ^ [relation_rng(relation_rng_restriction(2610 ^ [], 2611 ^ [])), 2610 ^ [], relation_rng(2611 ^ [])], relation_rng(relation_rng_restriction(2610 ^ [], 2611 ^ [])))],extension(986 ^ 7)).
% 17.36/17.89  ncf('1.1.1.2',plain,[-(in(970 ^ [relation_rng(relation_rng_restriction(2610 ^ [], 2611 ^ [])), 2610 ^ [], relation_rng(2611 ^ [])], 2610 ^ []))],extension(984 ^ 7)).
% 17.36/17.89  ncf('1.1.1.3',plain,[-(relation(2611 ^ []))],extension(2613 ^ 5)).
% 17.36/17.89  ncf('1.1.2',plain,[-(in(970 ^ [relation_rng(relation_rng_restriction(2610 ^ [], 2611 ^ [])), 2610 ^ [], relation_rng(2611 ^ [])], relation_rng(2611 ^ []))), 932 : in(970 ^ [relation_rng(relation_rng_restriction(2610 ^ [], 2611 ^ [])), 2610 ^ [], relation_rng(2611 ^ [])], relation_rng(relation_rng_restriction(2610 ^ [], 2611 ^ []))), 932 : subset(relation_rng(relation_rng_restriction(2610 ^ [], 2611 ^ [])), relation_rng(2611 ^ []))],extension(928 ^ 4,bind([[_389564, _389566, _389701], [relation_rng(2611 ^ []), relation_rng(relation_rng_restriction(2610 ^ [], 2611 ^ [])), 970 ^ [relation_rng(relation_rng_restriction(2610 ^ [], 2611 ^ [])), 2610 ^ [], relation_rng(2611 ^ [])]]]))).
% 17.36/17.89  ncf('1.1.2.1',plain,[-(in(970 ^ [relation_rng(relation_rng_restriction(2610 ^ [], 2611 ^ [])), 2610 ^ [], relation_rng(2611 ^ [])], relation_rng(relation_rng_restriction(2610 ^ [], 2611 ^ []))))],extension(974 ^ 7)).
% 17.36/17.89  ncf('1.1.2.2',plain,[-(subset(relation_rng(relation_rng_restriction(2610 ^ [], 2611 ^ [])), relation_rng(2611 ^ []))), relation(2611 ^ [])],extension(1877 ^ 5,bind([[_422185, _422187], [2611 ^ [], 2610 ^ []]]))).
% 17.36/17.89  ncf('1.1.2.2.1',plain,[-(relation(2611 ^ []))],extension(2613 ^ 6)).
% 17.36/17.89  ncf('1.1.3',plain,[-(in(970 ^ [relation_rng(relation_rng_restriction(2610 ^ [], 2611 ^ [])), 2610 ^ [], relation_rng(2611 ^ [])], 2610 ^ [])), 932 : in(970 ^ [relation_rng(relation_rng_restriction(2610 ^ [], 2611 ^ [])), 2610 ^ [], relation_rng(2611 ^ [])], relation_rng(relation_rng_restriction(2610 ^ [], 2611 ^ []))), 932 : subset(relation_rng(relation_rng_restriction(2610 ^ [], 2611 ^ [])), 2610 ^ [])],extension(928 ^ 4,bind([[_389564, _389566, _389701], [2610 ^ [], relation_rng(relation_rng_restriction(2610 ^ [], 2611 ^ [])), 970 ^ [relation_rng(relation_rng_restriction(2610 ^ [], 2611 ^ [])), 2610 ^ [], relation_rng(2611 ^ [])]]]))).
% 17.36/17.89  ncf('1.1.3.1',plain,[-(in(970 ^ [relation_rng(relation_rng_restriction(2610 ^ [], 2611 ^ [])), 2610 ^ [], relation_rng(2611 ^ [])], relation_rng(relation_rng_restriction(2610 ^ [], 2611 ^ []))))],extension(974 ^ 7)).
% 17.36/17.89  ncf('1.1.3.2',plain,[-(subset(relation_rng(relation_rng_restriction(2610 ^ [], 2611 ^ [])), 2610 ^ [])), relation(2611 ^ [])],extension(1865 ^ 5,bind([[_421753, _421755], [2611 ^ [], 2610 ^ []]]))).
% 17.36/17.89  ncf('1.1.3.2.1',plain,[-(relation(2611 ^ []))],extension(2613 ^ 6)).
% 17.36/17.89  %-----------------------------------------------------
% 17.36/17.89  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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