%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU199+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n009.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 12:02:37 EDT 2023

% Result   : Theorem 8.62s 8.62s
% Output   : Proof 8.62s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU199+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n009.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 13:22:33 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 8.62/8.62  
% 8.62/8.62  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 8.62/8.62  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.62/8.62  %-----------------------------------------------------
% 8.62/8.62  ncf(matrix, plain, [(2601 ^ _350349) ^ [] : [-(relation(2599 ^ []))], (2603 ^ _350349) ^ [] : [subset(relation_rng_restriction(2598 ^ [], 2599 ^ []), 2599 ^ [])], (2 ^ _350349) ^ [_350493] : [-(_350493 = _350493)], (4 ^ _350349) ^ [_350600, _350602] : [_350602 = _350600, -(_350600 = _350602)], (10 ^ _350349) ^ [_350804, _350806, _350808] : [-(_350808 = _350804), _350808 = _350806, _350806 = _350804], (20 ^ _350349) ^ [_351145, _351147, _351149, _351151] : [-(element(_351149, _351145)), element(_351151, _351147), _351151 = _351149, _351147 = _351145], (34 ^ _350349) ^ [_351589, _351591, _351593, _351595] : [-(proper_subset(_351593, _351589)), proper_subset(_351595, _351591), _351595 = _351593, _351591 = _351589], (48 ^ _350349) ^ [_352033, _352035, _352037, _352039] : [-(disjoint(_352037, _352033)), disjoint(_352039, _352035), _352039 = _352037, _352035 = _352033], (62 ^ _350349) ^ [_352449, _352451] : [-(empty(_352449)), _352451 = _352449, empty(_352451)], (72 ^ _350349) ^ [_352772, _352774, _352776, _352778] : [-(are_equipotent(_352776, _352772)), are_equipotent(_352778, _352774), _352778 = _352776, _352774 = _352772], (86 ^ _350349) ^ [_353216, _353218, _353220, _353222] : [-(in(_353220, _353216)), in(_353222, _353218), _353222 = _353220, _353218 = _353216], (100 ^ _350349) ^ [_353632, _353634] : [-(relation(_353632)), _353634 = _353632, relation(_353634)], (110 ^ _350349) ^ [_353935, _353937, _353939, _353941] : [-(subset(_353939, _353935)), subset(_353941, _353937), _353941 = _353939, _353937 = _353935], (124 ^ _350349) ^ [_354371, _354373] : [_354373 = _354371, -(set_meet(_354373) = set_meet(_354371))], (130 ^ _350349) ^ [_354617, _354619, _354621, _354623] : [-(cartesian_product2(_354623, _354619) = cartesian_product2(_354621, _354617)), _354623 = _354621, _354619 = _354617], (140 ^ _350349) ^ [_354948, _354950] : [_354950 = _354948, -(relation_field(_354950) = relation_field(_354948))], (146 ^ _350349) ^ [_355166, _355168] : [_355168 = _355166, -(relation_inverse(_355168) = relation_inverse(_355166))], (152 ^ _350349) ^ [_355412, _355414, _355416, _355418] : [-(union_of_subsets(_355418, _355414) = union_of_subsets(_355416, _355412)), _355418 = _355416, _355414 = _355412], (162 ^ _350349) ^ [_355771, _355773, _355775, _355777] : [-(complements_of_subsets(_355777, _355773) = complements_of_subsets(_355775, _355771)), _355777 = _355775, _355773 = _355771], (172 ^ _350349) ^ [_356158, _356160, _356162, _356164, _356166, _356168] : [-(subset_difference(_356168, _356164, _356160) = subset_difference(_356166, _356162, _356158)), _356168 = _356166, _356164 = _356162, _356160 = _356158], (186 ^ _350349) ^ [_356618, _356620] : [_356620 = _356618, -(cast_to_subset(_356620) = cast_to_subset(_356618))], (192 ^ _350349) ^ [_356864, _356866, _356868, _356870] : [-(meet_of_subsets(_356870, _356866) = meet_of_subsets(_356868, _356864)), _356870 = _356868, _356866 = _356864], (202 ^ _350349) ^ [_357223, _357225, _357227, _357229] : [-(subset_complement(_357229, _357225) = subset_complement(_357227, _357223)), _357229 = _357227, _357225 = _357223], (212 ^ _350349) ^ [_357582, _357584, _357586, _357588] : [-(ordered_pair(_357588, _357584) = ordered_pair(_357586, _357582)), _357588 = _357586, _357584 = _357582], (222 ^ _350349) ^ [_357941, _357943, _357945, _357947] : [-(set_difference(_357947, _357943) = set_difference(_357945, _357941)), _357947 = _357945, _357943 = _357941], (232 ^ _350349) ^ [_358300, _358302, _358304, _358306] : [-(set_union2(_358306, _358302) = set_union2(_358304, _358300)), _358306 = _358304, _358302 = _358300], (242 ^ _350349) ^ [_358659, _358661, _358663, _358665] : [-(set_intersection2(_358665, _358661) = set_intersection2(_358663, _358659)), _358665 = _358663, _358661 = _358659], (252 ^ _350349) ^ [_358990, _358992] : [_358992 = _358990, -(relation_dom(_358992) = relation_dom(_358990))], (258 ^ _350349) ^ [_359236, _359238, _359240, _359242] : [-(relation_composition(_359242, _359238) = relation_composition(_359240, _359236)), _359242 = _359240, _359238 = _359236], (268 ^ _350349) ^ [_359567, _359569] : [_359569 = _359567, -(identity_relation(_359569) = identity_relation(_359567))], (274 ^ _350349) ^ [_359813, _359815, _359817, _359819] : [-(relation_dom_restriction(_359819, _359815) = relation_dom_restriction(_359817, _359813)), _359819 = _359817, _359815 = _359813], (284 ^ _350349) ^ [_360144, _360146] : [_360146 = _360144, -(relation_rng(_360146) = relation_rng(_360144))], (290 ^ _350349) ^ [_360362, _360364] : [_360364 = _360362, -(union(_360364) = union(_360362))], (296 ^ _350349) ^ [_360580, _360582] : [_360582 = _360580, -(powerset(_360582) = powerset(_360580))], (302 ^ _350349) ^ [_360798, _360800] : [_360800 = _360798, -(singleton(_360800) = singleton(_360798))], (308 ^ _350349) ^ [_361044, _361046, _361048, _361050] : [-(unordered_pair(_361050, _361046) = unordered_pair(_361048, _361044)), _361050 = _361048, _361046 = _361044], (318 ^ _350349) ^ [_361383, _361385, _361387, _361389] : [-(relation_rng_restriction(_361389, _361385) = relation_rng_restriction(_361387, _361383)), _361389 = _361387, _361385 = _361383], (328 ^ _350349) ^ [_361822, _361824] : [in(_361824, _361822), in(_361822, _361824)], (334 ^ _350349) ^ [_362033, _362035] : [proper_subset(_362035, _362033), proper_subset(_362033, _362035)], (340 ^ _350349) ^ [_362230] : [empty(_362230), -(relation(_362230))], (346 ^ _350349) ^ [_362415, _362417] : [-(unordered_pair(_362417, _362415) = unordered_pair(_362415, _362417))], (348 ^ _350349) ^ [_362515, _362517] : [-(set_union2(_362517, _362515) = set_union2(_362515, _362517))], (350 ^ _350349) ^ [_362615, _362617] : [-(set_intersection2(_362617, _362615) = set_intersection2(_362615, _362617))], (352 ^ _350349) ^ [_362730, _362732] : [relation(_362730), 355 ^ _350349 : [(378 ^ _350349) ^ [] : [-(_362730 = identity_relation(_362732)), 391 ^ _350349 : [(392 ^ _350349) ^ [] : [-(in(379 ^ [_362730, _362732], _362732))], (394 ^ _350349) ^ [] : [-(379 ^ [_362730, _362732] = 380 ^ [_362730, _362732])], (396 ^ _350349) ^ [] : [in(ordered_pair(379 ^ [_362730, _362732], 380 ^ [_362730, _362732]), _362730)]], 383 ^ _350349 : [(384 ^ _350349) ^ [] : [-(in(ordered_pair(379 ^ [_362730, _362732], 380 ^ [_362730, _362732]), _362730))], (386 ^ _350349) ^ [] : [in(379 ^ [_362730, _362732], _362732), 379 ^ [_362730, _362732] = 380 ^ [_362730, _362732]]]], (356 ^ _350349) ^ [] : [_362730 = identity_relation(_362732), 359 ^ _350349 : [(360 ^ _350349) ^ [_363040, _363042] : [in(ordered_pair(_363042, _363040), _362730), 363 ^ _350349 : [(364 ^ _350349) ^ [] : [-(in(_363042, _362732))], (366 ^ _350349) ^ [] : [-(_363042 = _363040)]]], (368 ^ _350349) ^ [_363303, _363305] : [-(in(ordered_pair(_363305, _363303), _362730)), in(_363305, _362732), _363305 = _363303]]]]], (400 ^ _350349) ^ [_364411, _364413] : [_364413 = _364411, 403 ^ _350349 : [(404 ^ _350349) ^ [] : [-(subset(_364413, _364411))], (406 ^ _350349) ^ [] : [-(subset(_364411, _364413))]]], (408 ^ _350349) ^ [_364648, _364650] : [-(_364650 = _364648), subset(_364650, _364648), subset(_364648, _364650)], (418 ^ _350349) ^ [_364935] : [relation(_364935), 421 ^ _350349 : [(422 ^ _350349) ^ [_365121, _365123] : [relation(_365121), 425 ^ _350349 : [(448 ^ _350349) ^ [] : [-(_365121 = relation_dom_restriction(_364935, _365123)), 461 ^ _350349 : [(462 ^ _350349) ^ [] : [-(in(449 ^ [_364935, _365121, _365123], _365123))], (464 ^ _350349) ^ [] : [-(in(ordered_pair(449 ^ [_364935, _365121, _365123], 450 ^ [_364935, _365121, _365123]), _364935))], (466 ^ _350349) ^ [] : [in(ordered_pair(449 ^ [_364935, _365121, _365123], 450 ^ [_364935, _365121, _365123]), _365121)]], 453 ^ _350349 : [(454 ^ _350349) ^ [] : [-(in(ordered_pair(449 ^ [_364935, _365121, _365123], 450 ^ [_364935, _365121, _365123]), _365121))], (456 ^ _350349) ^ [] : [in(449 ^ [_364935, _365121, _365123], _365123), in(ordered_pair(449 ^ [_364935, _365121, _365123], 450 ^ [_364935, _365121, _365123]), _364935)]]], (426 ^ _350349) ^ [] : [_365121 = relation_dom_restriction(_364935, _365123), 429 ^ _350349 : [(430 ^ _350349) ^ [_365446, _365448] : [in(ordered_pair(_365448, _365446), _365121), 433 ^ _350349 : [(434 ^ _350349) ^ [] : [-(in(_365448, _365123))], (436 ^ _350349) ^ [] : [-(in(ordered_pair(_365448, _365446), _364935))]]], (438 ^ _350349) ^ [_365725, _365727] : [-(in(ordered_pair(_365727, _365725), _365121)), in(_365727, _365123), in(ordered_pair(_365727, _365725), _364935)]]]]]]], (470 ^ _350349) ^ [_366894, _366896] : [relation(_366894), 473 ^ _350349 : [(474 ^ _350349) ^ [_367065] : [relation(_367065), 477 ^ _350349 : [(500 ^ _350349) ^ [] : [-(_367065 = relation_rng_restriction(_366896, _366894)), 513 ^ _350349 : [(514 ^ _350349) ^ [] : [-(in(502 ^ [_366894, _366896, _367065], _366896))], (516 ^ _350349) ^ [] : [-(in(ordered_pair(501 ^ [_366894, _366896, _367065], 502 ^ [_366894, _366896, _367065]), _366894))], (518 ^ _350349) ^ [] : [in(ordered_pair(501 ^ [_366894, _366896, _367065], 502 ^ [_366894, _366896, _367065]), _367065)]], 505 ^ _350349 : [(506 ^ _350349) ^ [] : [-(in(ordered_pair(501 ^ [_366894, _366896, _367065], 502 ^ [_366894, _366896, _367065]), _367065))], (508 ^ _350349) ^ [] : [in(502 ^ [_366894, _366896, _367065], _366896), in(ordered_pair(501 ^ [_366894, _366896, _367065], 502 ^ [_366894, _366896, _367065]), _366894)]]], (478 ^ _350349) ^ [] : [_367065 = relation_rng_restriction(_366896, _366894), 481 ^ _350349 : [(482 ^ _350349) ^ [_367392, _367394] : [in(ordered_pair(_367394, _367392), _367065), 485 ^ _350349 : [(486 ^ _350349) ^ [] : [-(in(_367392, _366896))], (488 ^ _350349) ^ [] : [-(in(ordered_pair(_367394, _367392), _366894))]]], (490 ^ _350349) ^ [_367671, _367673] : [-(in(ordered_pair(_367673, _367671), _367065)), in(_367671, _366896), in(ordered_pair(_367673, _367671), _366894)]]]]]]], (534 ^ _350349) ^ [_369307] : [536 ^ _350349 : [(537 ^ _350349) ^ [] : [-(in(535 ^ [_369307], _369307))], (539 ^ _350349) ^ [_369544, _369546] : [535 ^ [_369307] = ordered_pair(_369546, _369544)]], -(relation(_369307))], (522 ^ _350349) ^ [_368846] : [relation(_368846), 525 ^ _350349 : [(526 ^ _350349) ^ [_368994] : [in(_368994, _368846), -(_368994 = ordered_pair(529 ^ [_368846, _368994], 530 ^ [_368846, _368994]))]]], (592 ^ _350349) ^ [_371442, _371444] : [_371444 = empty_set, 595 ^ _350349 : [(596 ^ _350349) ^ [] : [_371442 = set_meet(_371444), -(_371442 = empty_set)], (602 ^ _350349) ^ [] : [_371442 = empty_set, -(_371442 = set_meet(_371444))]]], (543 ^ _350349) ^ [_369735, _369737] : [-(_369737 = empty_set), 546 ^ _350349 : [(570 ^ _350349) ^ [] : [-(_369735 = set_meet(_369737)), 574 ^ _350349 : [(575 ^ _350349) ^ [] : [-(in(571 ^ [_369735, _369737], _369735))], (578 ^ _350349) ^ [] : [-(in(576 ^ [_369735, _369737], _369737))], (580 ^ _350349) ^ [] : [in(571 ^ [_369735, _369737], 576 ^ [_369735, _369737])]], 581 ^ _350349 : [(588 ^ _350349) ^ [] : [in(571 ^ [_369735, _369737], _369735)], (582 ^ _350349) ^ [_371137] : [in(_371137, _369737), -(in(571 ^ [_369735, _369737], _371137))]]], (547 ^ _350349) ^ [] : [_369735 = set_meet(_369737), 550 ^ _350349 : [(561 ^ _350349) ^ [_370363] : [563 ^ _350349 : [(564 ^ _350349) ^ [] : [-(in(562 ^ [_369735, _369737, _370363], _369737))], (566 ^ _350349) ^ [] : [in(_370363, 562 ^ [_369735, _369737, _370363])]], -(in(_370363, _369735))], (551 ^ _350349) ^ [_370033] : [in(_370033, _369735), 554 ^ _350349 : [(555 ^ _350349) ^ [_370178] : [in(_370178, _369737), -(in(_370033, _370178))]]]]]]], (624 ^ _350349) ^ [_372460, _372462] : [-(_372460 = singleton(_372462)), 628 ^ _350349 : [(629 ^ _350349) ^ [] : [-(in(625 ^ [_372460, _372462], _372460))], (631 ^ _350349) ^ [] : [625 ^ [_372460, _372462] = _372462]], 632 ^ _350349 : [(633 ^ _350349) ^ [] : [-(625 ^ [_372460, _372462] = _372462)], (635 ^ _350349) ^ [] : [in(625 ^ [_372460, _372462], _372460)]]], (608 ^ _350349) ^ [_371939, _371941] : [_371939 = singleton(_371941), 611 ^ _350349 : [(612 ^ _350349) ^ [_372109] : [in(_372109, _371939), -(_372109 = _371941)], (618 ^ _350349) ^ [_372281] : [_372281 = _371941, -(in(_372281, _371939))]]], (639 ^ _350349) ^ [_373011] : [_373011 = empty_set, 642 ^ _350349 : [(643 ^ _350349) ^ [_373124] : [in(_373124, _373011)]]], (645 ^ _350349) ^ [_373190] : [-(in(646 ^ [_373190], _373190)), -(_373190 = empty_set)], (668 ^ _350349) ^ [_374002, _374004] : [-(_374002 = powerset(_374004)), 672 ^ _350349 : [(673 ^ _350349) ^ [] : [-(in(669 ^ [_374002, _374004], _374002))], (675 ^ _350349) ^ [] : [subset(669 ^ [_374002, _374004], _374004)]], 676 ^ _350349 : [(677 ^ _350349) ^ [] : [-(subset(669 ^ [_374002, _374004], _374004))], (679 ^ _350349) ^ [] : [in(669 ^ [_374002, _374004], _374002)]]], (652 ^ _350349) ^ [_373481, _373483] : [_373481 = powerset(_373483), 655 ^ _350349 : [(656 ^ _350349) ^ [_373651] : [in(_373651, _373481), -(subset(_373651, _373483))], (662 ^ _350349) ^ [_373823] : [subset(_373823, _373483), -(in(_373823, _373481))]]], (683 ^ _350349) ^ [_374524] : [relation(_374524), 686 ^ _350349 : [(687 ^ _350349) ^ [_374682] : [relation(_374682), 690 ^ _350349 : [(707 ^ _350349) ^ [] : [-(_374524 = _374682), 712 ^ _350349 : [(713 ^ _350349) ^ [] : [-(in(ordered_pair(708 ^ [_374524, _374682], 709 ^ [_374524, _374682]), _374524))], (715 ^ _350349) ^ [] : [in(ordered_pair(708 ^ [_374524, _374682], 709 ^ [_374524, _374682]), _374682)]], 716 ^ _350349 : [(717 ^ _350349) ^ [] : [-(in(ordered_pair(708 ^ [_374524, _374682], 709 ^ [_374524, _374682]), _374682))], (719 ^ _350349) ^ [] : [in(ordered_pair(708 ^ [_374524, _374682], 709 ^ [_374524, _374682]), _374524)]]], (691 ^ _350349) ^ [] : [_374524 = _374682, 694 ^ _350349 : [(695 ^ _350349) ^ [_374987, _374989] : [in(ordered_pair(_374989, _374987), _374524), -(in(ordered_pair(_374989, _374987), _374682))], (701 ^ _350349) ^ [_375177, _375179] : [in(ordered_pair(_375179, _375177), _374682), -(in(ordered_pair(_375179, _375177), _374524))]]]]]]], (723 ^ _350349) ^ [_376014, _376016] : [-(empty(_376016)), 726 ^ _350349 : [(727 ^ _350349) ^ [] : [element(_376014, _376016), -(in(_376014, _376016))], (733 ^ _350349) ^ [] : [in(_376014, _376016), -(element(_376014, _376016))]]], (739 ^ _350349) ^ [_376427, _376429] : [empty(_376429), 742 ^ _350349 : [(743 ^ _350349) ^ [] : [element(_376427, _376429), -(empty(_376427))], (749 ^ _350349) ^ [] : [empty(_376427), -(element(_376427, _376429))]]], (777 ^ _350349) ^ [_377652, _377654, _377656] : [-(_377652 = unordered_pair(_377656, _377654)), 781 ^ _350349 : [(782 ^ _350349) ^ [] : [-(in(778 ^ [_377652, _377654, _377656], _377652))], (784 ^ _350349) ^ [] : [778 ^ [_377652, _377654, _377656] = _377656], (786 ^ _350349) ^ [] : [778 ^ [_377652, _377654, _377656] = _377654]], 787 ^ _350349 : [(794 ^ _350349) ^ [] : [in(778 ^ [_377652, _377654, _377656], _377652)], (788 ^ _350349) ^ [] : [-(778 ^ [_377652, _377654, _377656] = _377656), -(778 ^ [_377652, _377654, _377656] = _377654)]]], (755 ^ _350349) ^ [_376927, _376929, _376931] : [_376927 = unordered_pair(_376931, _376929), 758 ^ _350349 : [(769 ^ _350349) ^ [_377387] : [770 ^ _350349 : [(771 ^ _350349) ^ [] : [_377387 = _376931], (773 ^ _350349) ^ [] : [_377387 = _376929]], -(in(_377387, _376927))], (759 ^ _350349) ^ [_377109] : [in(_377109, _376927), -(_377109 = _376931), -(_377109 = _376929)]]], (820 ^ _350349) ^ [_379171, _379173, _379175] : [-(_379171 = set_union2(_379175, _379173)), 824 ^ _350349 : [(825 ^ _350349) ^ [] : [-(in(821 ^ [_379171, _379173, _379175], _379171))], (827 ^ _350349) ^ [] : [in(821 ^ [_379171, _379173, _379175], _379175)], (829 ^ _350349) ^ [] : [in(821 ^ [_379171, _379173, _379175], _379173)]], 830 ^ _350349 : [(837 ^ _350349) ^ [] : [in(821 ^ [_379171, _379173, _379175], _379171)], (831 ^ _350349) ^ [] : [-(in(821 ^ [_379171, _379173, _379175], _379175)), -(in(821 ^ [_379171, _379173, _379175], _379173))]]], (798 ^ _350349) ^ [_378446, _378448, _378450] : [_378446 = set_union2(_378450, _378448), 801 ^ _350349 : [(812 ^ _350349) ^ [_378906] : [813 ^ _350349 : [(814 ^ _350349) ^ [] : [in(_378906, _378450)], (816 ^ _350349) ^ [] : [in(_378906, _378448)]], -(in(_378906, _378446))], (802 ^ _350349) ^ [_378628] : [in(_378628, _378446), -(in(_378628, _378450)), -(in(_378628, _378448))]]], (871 ^ _350349) ^ [_381222, _381224, _381226] : [-(_381222 = cartesian_product2(_381226, _381224)), 889 ^ _350349 : [(890 ^ _350349) ^ [] : [-(in(887 ^ [_381222, _381224, _381226], _381226))], (892 ^ _350349) ^ [] : [-(in(888 ^ [_381222, _381224, _381226], _381224))], (894 ^ _350349) ^ [] : [-(872 ^ [_381222, _381224, _381226] = ordered_pair(887 ^ [_381222, _381224, _381226], 888 ^ [_381222, _381224, _381226]))], (896 ^ _350349) ^ [] : [in(872 ^ [_381222, _381224, _381226], _381222)]], 875 ^ _350349 : [(876 ^ _350349) ^ [] : [-(in(872 ^ [_381222, _381224, _381226], _381222))], (878 ^ _350349) ^ [_381560, _381562] : [in(_381562, _381226), in(_381560, _381224), 872 ^ [_381222, _381224, _381226] = ordered_pair(_381562, _381560)]]], (841 ^ _350349) ^ [_379965, _379967, _379969] : [_379965 = cartesian_product2(_379969, _379967), 844 ^ _350349 : [(845 ^ _350349) ^ [_380166] : [in(_380166, _379965), 850 ^ _350349 : [(851 ^ _350349) ^ [] : [-(in(848 ^ [_379965, _379967, _379969, _380166], _379969))], (853 ^ _350349) ^ [] : [-(in(849 ^ [_379965, _379967, _379969, _380166], _379967))], (855 ^ _350349) ^ [] : [-(_380166 = ordered_pair(848 ^ [_379965, _379967, _379969, _380166], 849 ^ [_379965, _379967, _379969, _380166]))]]], (857 ^ _350349) ^ [_380726] : [-(in(_380726, _379965)), 858 ^ _350349 : [(859 ^ _350349) ^ [_380856, _380858] : [in(_380858, _379969), in(_380856, _379967), _380726 = ordered_pair(_380858, _380856)]]]]], (900 ^ _350349) ^ [_382456] : [relation(_382456), 903 ^ _350349 : [(904 ^ _350349) ^ [_382614] : [relation(_382614), 907 ^ _350349 : [(918 ^ _350349) ^ [] : [921 ^ _350349 : [(922 ^ _350349) ^ [] : [-(in(ordered_pair(919 ^ [_382456, _382614], 920 ^ [_382456, _382614]), _382456))], (924 ^ _350349) ^ [] : [in(ordered_pair(919 ^ [_382456, _382614], 920 ^ [_382456, _382614]), _382614)]], -(subset(_382456, _382614))], (908 ^ _350349) ^ [] : [subset(_382456, _382614), 911 ^ _350349 : [(912 ^ _350349) ^ [_382890, _382892] : [in(ordered_pair(_382892, _382890), _382456), -(in(ordered_pair(_382892, _382890), _382614))]]]]]]], (938 ^ _350349) ^ [_383853, _383855] : [940 ^ _350349 : [(941 ^ _350349) ^ [] : [-(in(939 ^ [_383853, _383855], _383855))], (943 ^ _350349) ^ [] : [in(939 ^ [_383853, _383855], _383853)]], -(subset(_383855, _383853))], (928 ^ _350349) ^ [_383539, _383541] : [subset(_383541, _383539), 931 ^ _350349 : [(932 ^ _350349) ^ [_383676] : [in(_383676, _383541), -(in(_383676, _383539))]]], (969 ^ _350349) ^ [_384978, _384980, _384982] : [-(_384978 = set_intersection2(_384982, _384980)), 981 ^ _350349 : [(982 ^ _350349) ^ [] : [-(in(970 ^ [_384978, _384980, _384982], _384982))], (984 ^ _350349) ^ [] : [-(in(970 ^ [_384978, _384980, _384982], _384980))], (986 ^ _350349) ^ [] : [in(970 ^ [_384978, _384980, _384982], _384978)]], 973 ^ _350349 : [(974 ^ _350349) ^ [] : [-(in(970 ^ [_384978, _384980, _384982], _384978))], (976 ^ _350349) ^ [] : [in(970 ^ [_384978, _384980, _384982], _384982), in(970 ^ [_384978, _384980, _384982], _384980)]]], (947 ^ _350349) ^ [_384253, _384255, _384257] : [_384253 = set_intersection2(_384257, _384255), 950 ^ _350349 : [(951 ^ _350349) ^ [_384435] : [in(_384435, _384253), 954 ^ _350349 : [(955 ^ _350349) ^ [] : [-(in(_384435, _384257))], (957 ^ _350349) ^ [] : [-(in(_384435, _384255))]]], (959 ^ _350349) ^ [_384694] : [-(in(_384694, _384253)), in(_384694, _384257), in(_384694, _384255)]]], (990 ^ _350349) ^ [_385717] : [relation(_385717), 993 ^ _350349 : [(1011 ^ _350349) ^ [_386529] : [-(_386529 = relation_dom(_385717)), 1015 ^ _350349 : [(1016 ^ _350349) ^ [] : [-(in(1012 ^ [_385717, _386529], _386529))], (1018 ^ _350349) ^ [_386792] : [in(ordered_pair(1012 ^ [_385717, _386529], _386792), _385717)]], 1020 ^ _350349 : [(1021 ^ _350349) ^ [] : [-(in(ordered_pair(1012 ^ [_385717, _386529], 1019 ^ [_385717, _386529]), _385717))], (1023 ^ _350349) ^ [] : [in(1012 ^ [_385717, _386529], _386529)]]], (994 ^ _350349) ^ [_385898] : [_385898 = relation_dom(_385717), 997 ^ _350349 : [(998 ^ _350349) ^ [_386078] : [in(_386078, _385898), -(in(ordered_pair(_386078, 1001 ^ [_385717, _385898, _386078]), _385717))], (1005 ^ _350349) ^ [_386322] : [1006 ^ _350349 : [(1007 ^ _350349) ^ [_386401] : [in(ordered_pair(_386322, _386401), _385717)]], -(in(_386322, _385898))]]]]], (1027 ^ _350349) ^ [_387143] : [-(cast_to_subset(_387143) = _387143)], (1052 ^ _350349) ^ [_388126, _388128] : [-(_388126 = union(_388128)), 1065 ^ _350349 : [(1066 ^ _350349) ^ [] : [-(in(1053 ^ [_388126, _388128], 1064 ^ [_388126, _388128]))], (1068 ^ _350349) ^ [] : [-(in(1064 ^ [_388126, _388128], _388128))], (1070 ^ _350349) ^ [] : [in(1053 ^ [_388126, _388128], _388126)]], 1056 ^ _350349 : [(1057 ^ _350349) ^ [] : [-(in(1053 ^ [_388126, _388128], _388126))], (1059 ^ _350349) ^ [_388409] : [in(1053 ^ [_388126, _388128], _388409), in(_388409, _388128)]]], (1029 ^ _350349) ^ [_387281, _387283] : [_387281 = union(_387283), 1032 ^ _350349 : [(1033 ^ _350349) ^ [_387462] : [in(_387462, _387281), 1037 ^ _350349 : [(1038 ^ _350349) ^ [] : [-(in(_387462, 1036 ^ [_387281, _387283, _387462]))], (1040 ^ _350349) ^ [] : [-(in(1036 ^ [_387281, _387283, _387462], _387283))]]], (1042 ^ _350349) ^ [_387789] : [-(in(_387789, _387281)), 1043 ^ _350349 : [(1044 ^ _350349) ^ [_387887] : [in(_387789, _387887), in(_387887, _387283)]]]]], (1096 ^ _350349) ^ [_389747, _389749, _389751] : [-(_389747 = set_difference(_389751, _389749)), 1108 ^ _350349 : [(1109 ^ _350349) ^ [] : [-(in(1097 ^ [_389747, _389749, _389751], _389751))], (1111 ^ _350349) ^ [] : [in(1097 ^ [_389747, _389749, _389751], _389749)], (1113 ^ _350349) ^ [] : [in(1097 ^ [_389747, _389749, _389751], _389747)]], 1100 ^ _350349 : [(1101 ^ _350349) ^ [] : [-(in(1097 ^ [_389747, _389749, _389751], _389747))], (1103 ^ _350349) ^ [] : [in(1097 ^ [_389747, _389749, _389751], _389751), -(in(1097 ^ [_389747, _389749, _389751], _389749))]]], (1074 ^ _350349) ^ [_389016, _389018, _389020] : [_389016 = set_difference(_389020, _389018), 1077 ^ _350349 : [(1078 ^ _350349) ^ [_389200] : [in(_389200, _389016), 1081 ^ _350349 : [(1082 ^ _350349) ^ [] : [-(in(_389200, _389020))], (1084 ^ _350349) ^ [] : [in(_389200, _389018)]]], (1086 ^ _350349) ^ [_389460] : [-(in(_389460, _389016)), in(_389460, _389020), -(in(_389460, _389018))]]], (1117 ^ _350349) ^ [_390490] : [relation(_390490), 1120 ^ _350349 : [(1138 ^ _350349) ^ [_391302] : [-(_391302 = relation_rng(_390490)), 1142 ^ _350349 : [(1143 ^ _350349) ^ [] : [-(in(1139 ^ [_390490, _391302], _391302))], (1145 ^ _350349) ^ [_391565] : [in(ordered_pair(_391565, 1139 ^ [_390490, _391302]), _390490)]], 1147 ^ _350349 : [(1148 ^ _350349) ^ [] : [-(in(ordered_pair(1146 ^ [_390490, _391302], 1139 ^ [_390490, _391302]), _390490))], (1150 ^ _350349) ^ [] : [in(1139 ^ [_390490, _391302], _391302)]]], (1121 ^ _350349) ^ [_390671] : [_390671 = relation_rng(_390490), 1124 ^ _350349 : [(1125 ^ _350349) ^ [_390851] : [in(_390851, _390671), -(in(ordered_pair(1128 ^ [_390490, _390671, _390851], _390851), _390490))], (1132 ^ _350349) ^ [_391095] : [1133 ^ _350349 : [(1134 ^ _350349) ^ [_391174] : [in(ordered_pair(_391174, _391095), _390490)]], -(in(_391095, _390671))]]]]], (1154 ^ _350349) ^ [_391945, _391947] : [element(_391945, powerset(_391947)), -(subset_complement(_391947, _391945) = set_difference(_391947, _391945))], (1160 ^ _350349) ^ [_392156, _392158] : [-(ordered_pair(_392158, _392156) = unordered_pair(unordered_pair(_392158, _392156), singleton(_392158)))], (1162 ^ _350349) ^ [_392262] : [relation(_392262), -(relation_field(_392262) = set_union2(relation_dom(_392262), relation_rng(_392262)))], (1168 ^ _350349) ^ [_392468] : [relation(_392468), 1171 ^ _350349 : [(1172 ^ _350349) ^ [_392628] : [relation(_392628), 1175 ^ _350349 : [(1192 ^ _350349) ^ [] : [-(_392628 = relation_inverse(_392468)), 1197 ^ _350349 : [(1198 ^ _350349) ^ [] : [-(in(ordered_pair(1193 ^ [_392468, _392628], 1194 ^ [_392468, _392628]), _392628))], (1200 ^ _350349) ^ [] : [in(ordered_pair(1194 ^ [_392468, _392628], 1193 ^ [_392468, _392628]), _392468)]], 1201 ^ _350349 : [(1202 ^ _350349) ^ [] : [-(in(ordered_pair(1194 ^ [_392468, _392628], 1193 ^ [_392468, _392628]), _392468))], (1204 ^ _350349) ^ [] : [in(ordered_pair(1193 ^ [_392468, _392628], 1194 ^ [_392468, _392628]), _392628)]]], (1176 ^ _350349) ^ [] : [_392628 = relation_inverse(_392468), 1179 ^ _350349 : [(1180 ^ _350349) ^ [_392937, _392939] : [in(ordered_pair(_392939, _392937), _392628), -(in(ordered_pair(_392937, _392939), _392468))], (1186 ^ _350349) ^ [_393127, _393129] : [in(ordered_pair(_393127, _393129), _392468), -(in(ordered_pair(_393129, _393127), _392628))]]]]]]], (1208 ^ _350349) ^ [_393975, _393977] : [disjoint(_393977, _393975), -(set_intersection2(_393977, _393975) = empty_set)], (1214 ^ _350349) ^ [_394143, _394145] : [set_intersection2(_394145, _394143) = empty_set, -(disjoint(_394145, _394143))], (1220 ^ _350349) ^ [_394347] : [relation(_394347), 1223 ^ _350349 : [(1224 ^ _350349) ^ [_394532] : [relation(_394532), 1227 ^ _350349 : [(1228 ^ _350349) ^ [_394713] : [relation(_394713), 1231 ^ _350349 : [(1255 ^ _350349) ^ [] : [-(_394713 = relation_composition(_394347, _394532)), 1269 ^ _350349 : [(1270 ^ _350349) ^ [] : [-(in(ordered_pair(1256 ^ [_394347, _394532, _394713], 1268 ^ [_394347, _394532, _394713]), _394347))], (1272 ^ _350349) ^ [] : [-(in(ordered_pair(1268 ^ [_394347, _394532, _394713], 1257 ^ [_394347, _394532, _394713]), _394532))], (1274 ^ _350349) ^ [] : [in(ordered_pair(1256 ^ [_394347, _394532, _394713], 1257 ^ [_394347, _394532, _394713]), _394713)]], 1260 ^ _350349 : [(1261 ^ _350349) ^ [] : [-(in(ordered_pair(1256 ^ [_394347, _394532, _394713], 1257 ^ [_394347, _394532, _394713]), _394713))], (1263 ^ _350349) ^ [_396177] : [in(ordered_pair(1256 ^ [_394347, _394532, _394713], _396177), _394347), in(ordered_pair(_396177, 1257 ^ [_394347, _394532, _394713]), _394532)]]], (1232 ^ _350349) ^ [] : [_394713 = relation_composition(_394347, _394532), 1235 ^ _350349 : [(1236 ^ _350349) ^ [_395048, _395050] : [in(ordered_pair(_395050, _395048), _394713), 1240 ^ _350349 : [(1241 ^ _350349) ^ [] : [-(in(ordered_pair(_395050, 1239 ^ [_394347, _394532, _394713, _395048, _395050]), _394347))], (1243 ^ _350349) ^ [] : [-(in(ordered_pair(1239 ^ [_394347, _394532, _394713, _395048, _395050], _395048), _394532))]]], (1245 ^ _350349) ^ [_395433, _395435] : [-(in(ordered_pair(_395435, _395433), _394713)), 1246 ^ _350349 : [(1247 ^ _350349) ^ [_395546] : [in(ordered_pair(_395435, _395546), _394347), in(ordered_pair(_395546, _395433), _394532)]]]]]]]]]]], (1278 ^ _350349) ^ [_396863, _396865] : [element(_396863, powerset(powerset(_396865))), 1281 ^ _350349 : [(1282 ^ _350349) ^ [_397043] : [element(_397043, powerset(powerset(_396865))), 1285 ^ _350349 : [(1306 ^ _350349) ^ [] : [-(_397043 = complements_of_subsets(_396865, _396863)), 1308 ^ _350349 : [(1309 ^ _350349) ^ [] : [-(element(1307 ^ [_396863, _396865, _397043], powerset(_396865)))], (1311 ^ _350349) ^ [] : [1312 ^ _350349 : [(1313 ^ _350349) ^ [] : [-(in(1307 ^ [_396863, _396865, _397043], _397043))], (1315 ^ _350349) ^ [] : [in(subset_complement(_396865, 1307 ^ [_396863, _396865, _397043]), _396863)]], 1316 ^ _350349 : [(1317 ^ _350349) ^ [] : [-(in(subset_complement(_396865, 1307 ^ [_396863, _396865, _397043]), _396863))], (1319 ^ _350349) ^ [] : [in(1307 ^ [_396863, _396865, _397043], _397043)]]]]], (1286 ^ _350349) ^ [] : [_397043 = complements_of_subsets(_396865, _396863), 1289 ^ _350349 : [(1290 ^ _350349) ^ [_397331] : [element(_397331, powerset(_396865)), 1293 ^ _350349 : [(1294 ^ _350349) ^ [] : [in(_397331, _397043), -(in(subset_complement(_396865, _397331), _396863))], (1300 ^ _350349) ^ [] : [in(subset_complement(_396865, _397331), _396863), -(in(_397331, _397043))]]]]]]]]], (1323 ^ _350349) ^ [_398454, _398456] : [proper_subset(_398456, _398454), 1326 ^ _350349 : [(1327 ^ _350349) ^ [] : [-(subset(_398456, _398454))], (1329 ^ _350349) ^ [] : [_398456 = _398454]]], (1331 ^ _350349) ^ [_398692, _398694] : [-(proper_subset(_398694, _398692)), subset(_398694, _398692), -(_398694 = _398692)], (1341 ^ _350349) ^ [] : [true___, -(true___)], (1347 ^ _350349) ^ [] : [true___, -(true___)], (1353 ^ _350349) ^ [] : [true___, -(true___)], (1359 ^ _350349) ^ [] : [true___, -(true___)], (1365 ^ _350349) ^ [] : [true___, -(true___)], (1371 ^ _350349) ^ [] : [true___, -(true___)], (1377 ^ _350349) ^ [_399681] : [-(element(cast_to_subset(_399681), powerset(_399681)))], (1379 ^ _350349) ^ [] : [true___, -(true___)], (1385 ^ _350349) ^ [] : [true___, -(true___)], (1391 ^ _350349) ^ [] : [true___, -(true___)], (1397 ^ _350349) ^ [] : [true___, -(true___)], (1403 ^ _350349) ^ [_400268, _400270] : [element(_400268, powerset(_400270)), -(element(subset_complement(_400270, _400268), powerset(_400270)))], (1409 ^ _350349) ^ [] : [true___, -(true___)], (1415 ^ _350349) ^ [] : [true___, -(true___)], (1421 ^ _350349) ^ [_400716] : [relation(_400716), -(relation(relation_inverse(_400716)))], (1427 ^ _350349) ^ [] : [true___, -(true___)], (1433 ^ _350349) ^ [] : [true___, -(true___)], (1439 ^ _350349) ^ [_401158, _401160] : [-(relation(relation_composition(_401160, _401158))), relation(_401160), relation(_401158)], (1449 ^ _350349) ^ [_401457, _401459] : [element(_401457, powerset(powerset(_401459))), -(element(union_of_subsets(_401459, _401457), powerset(_401459)))], (1455 ^ _350349) ^ [_401656] : [-(relation(identity_relation(_401656)))], (1457 ^ _350349) ^ [_401764, _401766] : [element(_401764, powerset(powerset(_401766))), -(element(meet_of_subsets(_401766, _401764), powerset(_401766)))], (1463 ^ _350349) ^ [_402006, _402008, _402010] : [-(element(subset_difference(_402010, _402008, _402006), powerset(_402010))), element(_402008, powerset(_402010)), element(_402006, powerset(_402010))], (1473 ^ _350349) ^ [_402335, _402337] : [relation(_402337), -(relation(relation_dom_restriction(_402337, _402335)))], (1479 ^ _350349) ^ [_402547, _402549] : [element(_402547, powerset(powerset(_402549))), -(element(complements_of_subsets(_402549, _402547), powerset(powerset(_402549))))], (1485 ^ _350349) ^ [_402779, _402781] : [relation(_402779), -(relation(relation_rng_restriction(_402781, _402779)))], (1491 ^ _350349) ^ [] : [true___, -(true___)], (1498 ^ _350349) ^ [_403120] : [-(element(1496 ^ [_403120], _403120))], (1500 ^ _350349) ^ [_403232, _403234] : [1507 ^ _350349 : [(1508 ^ _350349) ^ [] : [-(empty(relation_composition(_403232, _403234)))], (1510 ^ _350349) ^ [] : [-(relation(relation_composition(_403232, _403234)))]], empty(_403234), relation(_403232)], (1512 ^ _350349) ^ [_403610, _403612] : [-(relation(set_intersection2(_403612, _403610))), relation(_403612), relation(_403610)], (1522 ^ _350349) ^ [_403879] : [empty(powerset(_403879))], (1524 ^ _350349) ^ [] : [-(empty(empty_set))], (1526 ^ _350349) ^ [_404024, _404026] : [empty(ordered_pair(_404026, _404024))], (1528 ^ _350349) ^ [_404135, _404137] : [-(relation(set_union2(_404137, _404135))), relation(_404137), relation(_404135)], (1538 ^ _350349) ^ [_404404] : [empty(singleton(_404404))], (1540 ^ _350349) ^ [_404512, _404514] : [-(empty(_404514)), empty(set_union2(_404514, _404512))], (1546 ^ _350349) ^ [_404712, _404714] : [empty(unordered_pair(_404714, _404712))], (1548 ^ _350349) ^ [_404823, _404825] : [-(empty(_404825)), empty(set_union2(_404823, _404825))], (1554 ^ _350349) ^ [] : [-(empty(empty_set))], (1556 ^ _350349) ^ [] : [-(relation(empty_set))], (1558 ^ _350349) ^ [_405147, _405149] : [empty(cartesian_product2(_405149, _405147)), -(empty(_405149)), -(empty(_405147))], (1568 ^ _350349) ^ [_405439] : [empty(relation_dom(_405439)), -(empty(_405439)), relation(_405439)], (1578 ^ _350349) ^ [_405716] : [empty(relation_rng(_405716)), -(empty(_405716)), relation(_405716)], (1588 ^ _350349) ^ [_405993] : [empty(_405993), 1591 ^ _350349 : [(1592 ^ _350349) ^ [] : [-(empty(relation_dom(_405993)))], (1594 ^ _350349) ^ [] : [-(relation(relation_dom(_405993)))]]], (1596 ^ _350349) ^ [_406258] : [empty(_406258), 1599 ^ _350349 : [(1600 ^ _350349) ^ [] : [-(empty(relation_rng(_406258)))], (1602 ^ _350349) ^ [] : [-(relation(relation_rng(_406258)))]]], (1604 ^ _350349) ^ [_406537, _406539] : [1611 ^ _350349 : [(1612 ^ _350349) ^ [] : [-(empty(relation_composition(_406539, _406537)))], (1614 ^ _350349) ^ [] : [-(relation(relation_composition(_406539, _406537)))]], empty(_406539), relation(_406537)], (1616 ^ _350349) ^ [_406900, _406902] : [-(set_union2(_406902, _406902) = _406902)], (1618 ^ _350349) ^ [_406997, _406999] : [-(set_intersection2(_406999, _406999) = _406999)], (1620 ^ _350349) ^ [_407109, _407111] : [element(_407109, powerset(_407111)), -(subset_complement(_407111, subset_complement(_407111, _407109)) = _407109)], (1626 ^ _350349) ^ [_407321] : [relation(_407321), -(relation_inverse(relation_inverse(_407321)) = _407321)], (1632 ^ _350349) ^ [_407531, _407533] : [element(_407531, powerset(powerset(_407533))), -(complements_of_subsets(_407533, complements_of_subsets(_407533, _407531)) = _407531)], (1638 ^ _350349) ^ [_407745, _407747] : [proper_subset(_407747, _407747)], (1640 ^ _350349) ^ [_407824] : [singleton(_407824) = empty_set], (1642 ^ _350349) ^ [_407933, _407935] : [in(_407935, _407933), -(set_union2(singleton(_407935), _407933) = _407933)], (1648 ^ _350349) ^ [_408153, _408155] : [disjoint(singleton(_408155), _408153), in(_408155, _408153)], (1654 ^ _350349) ^ [_408366, _408368] : [-(in(_408368, _408366)), -(disjoint(singleton(_408368), _408366))], (1660 ^ _350349) ^ [_408612, _408614] : [subset(singleton(_408614), _408612), -(in(_408614, _408612))], (1666 ^ _350349) ^ [_408778, _408780] : [in(_408780, _408778), -(subset(singleton(_408780), _408778))], (1672 ^ _350349) ^ [_409023, _409025] : [set_difference(_409025, _409023) = empty_set, -(subset(_409025, _409023))], (1678 ^ _350349) ^ [_409191, _409193] : [subset(_409193, _409191), -(set_difference(_409193, _409191) = empty_set)], (1684 ^ _350349) ^ [_409409, _409411] : [element(_409409, powerset(_409411)), 1687 ^ _350349 : [(1688 ^ _350349) ^ [_409550] : [in(_409550, _409409), -(in(_409550, _409411))]]], (1694 ^ _350349) ^ [_409789, _409791, _409793] : [subset(_409793, _409791), -(in(_409789, _409793)), -(subset(_409793, set_difference(_409791, singleton(_409789))))], (1714 ^ _350349) ^ [_410398, _410400] : [1715 ^ _350349 : [(1716 ^ _350349) ^ [] : [_410400 = empty_set], (1718 ^ _350349) ^ [] : [_410400 = singleton(_410398)]], -(subset(_410400, singleton(_410398)))], (1704 ^ _350349) ^ [_410138, _410140] : [subset(_410140, singleton(_410138)), -(_410140 = empty_set), -(_410140 = singleton(_410138))], (1722 ^ _350349) ^ [_410692, _410694] : [in(_410694, _410692), -(subset(_410694, union(_410692)))], (1728 ^ _350349) ^ [_410963, _410965, _410967, _410969] : [in(ordered_pair(_410969, _410967), cartesian_product2(_410965, _410963)), 1731 ^ _350349 : [(1732 ^ _350349) ^ [] : [-(in(_410969, _410965))], (1734 ^ _350349) ^ [] : [-(in(_410967, _410963))]]], (1736 ^ _350349) ^ [_411228, _411230, _411232, _411234] : [-(in(ordered_pair(_411234, _411232), cartesian_product2(_411230, _411228))), in(_411234, _411230), in(_411232, _411228)], (1746 ^ _350349) ^ [_411561, _411563] : [1748 ^ _350349 : [(1749 ^ _350349) ^ [] : [-(in(1747 ^ [_411561, _411563], _411563))], (1751 ^ _350349) ^ [] : [in(1747 ^ [_411561, _411563], _411561)]], -(element(_411563, powerset(_411561)))], (1756 ^ _350349) ^ [] : [-(empty(1754 ^ []))], (1758 ^ _350349) ^ [] : [-(relation(1754 ^ []))], (1760 ^ _350349) ^ [_412055] : [-(empty(_412055)), 1764 ^ _350349 : [(1765 ^ _350349) ^ [] : [-(element(1763 ^ [_412055], powerset(_412055)))], (1767 ^ _350349) ^ [] : [empty(1763 ^ [_412055])]]], (1770 ^ _350349) ^ [] : [-(empty(1768 ^ []))], (1773 ^ _350349) ^ [] : [empty(1771 ^ [])], (1775 ^ _350349) ^ [] : [-(relation(1771 ^ []))], (1778 ^ _350349) ^ [_412677] : [-(element(1776 ^ [_412677], powerset(_412677)))], (1780 ^ _350349) ^ [_412728] : [-(empty(1776 ^ [_412728]))], (1783 ^ _350349) ^ [] : [empty(1781 ^ [])], (1785 ^ _350349) ^ [_412931, _412933] : [element(_412931, powerset(powerset(_412933))), -(union_of_subsets(_412933, _412931) = union(_412931))], (1791 ^ _350349) ^ [_413159, _413161] : [element(_413159, powerset(powerset(_413161))), -(meet_of_subsets(_413161, _413159) = set_meet(_413159))], (1797 ^ _350349) ^ [_413401, _413403, _413405] : [-(subset_difference(_413405, _413403, _413401) = set_difference(_413403, _413401)), element(_413403, powerset(_413405)), element(_413401, powerset(_413405))], (1807 ^ _350349) ^ [_413717, _413719] : [-(subset(_413719, _413719))], (1809 ^ _350349) ^ [_413826, _413828] : [disjoint(_413828, _413826), -(disjoint(_413826, _413828))], (1815 ^ _350349) ^ [_414093, _414095, _414097, _414099] : [in(ordered_pair(_414099, _414097), cartesian_product2(_414095, _414093)), 1818 ^ _350349 : [(1819 ^ _350349) ^ [] : [-(in(_414099, _414095))], (1821 ^ _350349) ^ [] : [-(in(_414097, _414093))]]], (1823 ^ _350349) ^ [_414358, _414360, _414362, _414364] : [-(in(ordered_pair(_414364, _414362), cartesian_product2(_414360, _414358))), in(_414364, _414360), in(_414362, _414358)], (1833 ^ _350349) ^ [_414719, _414721, _414723, _414725] : [unordered_pair(_414725, _414723) = unordered_pair(_414721, _414719), -(_414725 = _414721), -(_414725 = _414719)], (1843 ^ _350349) ^ [_415069, _415071, _415073] : [relation(_415069), 1846 ^ _350349 : [(1847 ^ _350349) ^ [] : [in(_415073, relation_rng(relation_rng_restriction(_415071, _415069))), 1850 ^ _350349 : [(1851 ^ _350349) ^ [] : [-(in(_415073, _415071))], (1853 ^ _350349) ^ [] : [-(in(_415073, relation_rng(_415069)))]]], (1855 ^ _350349) ^ [] : [-(in(_415073, relation_rng(relation_rng_restriction(_415071, _415069)))), in(_415073, _415071), in(_415073, relation_rng(_415069))]]], (1865 ^ _350349) ^ [_415728, _415730] : [relation(_415728), -(subset(relation_rng(relation_rng_restriction(_415730, _415728)), _415730))], (1871 ^ _350349) ^ [_415960, _415962, _415964] : [subset(_415964, _415962), 1874 ^ _350349 : [(1875 ^ _350349) ^ [] : [-(subset(cartesian_product2(_415964, _415960), cartesian_product2(_415962, _415960)))], (1877 ^ _350349) ^ [] : [-(subset(cartesian_product2(_415960, _415964), cartesian_product2(_415960, _415962)))]]], (1879 ^ _350349) ^ [_416305, _416307, _416309, _416311] : [-(subset(cartesian_product2(_416311, _416307), cartesian_product2(_416309, _416305))), subset(_416311, _416309), subset(_416307, _416305)], (1889 ^ _350349) ^ [_416636, _416638] : [subset(_416638, _416636), -(set_union2(_416638, _416636) = _416636)], (1896 ^ _350349) ^ [_416958] : [-(in(_416958, 1894 ^ [_416958]))], (1898 ^ _350349) ^ [_417070, _417072, _417074] : [-(in(_417070, 1894 ^ [_417074])), in(_417072, 1894 ^ [_417074]), subset(_417070, _417072)], (1908 ^ _350349) ^ [_417385, _417387] : [in(_417385, 1894 ^ [_417387]), -(in(powerset(_417385), 1894 ^ [_417387]))], (1914 ^ _350349) ^ [_417585, _417587] : [subset(_417585, 1894 ^ [_417587]), -(are_equipotent(_417585, 1894 ^ [_417587])), -(in(_417585, 1894 ^ [_417587]))], (1924 ^ _350349) ^ [_417910, _417912] : [-(subset(set_intersection2(_417912, _417910), _417912))], (1926 ^ _350349) ^ [_418036, _418038, _418040] : [-(subset(_418040, set_intersection2(_418038, _418036))), subset(_418040, _418038), subset(_418040, _418036)], (1936 ^ _350349) ^ [_418322] : [-(set_union2(_418322, empty_set) = _418322)], (1938 ^ _350349) ^ [_418432, _418434] : [in(_418434, _418432), -(element(_418434, _418432))], (1944 ^ _350349) ^ [_418656, _418658, _418660] : [-(subset(_418660, _418656)), subset(_418660, _418658), subset(_418658, _418656)], (1954 ^ _350349) ^ [] : [-(powerset(empty_set) = singleton(empty_set))], (1956 ^ _350349) ^ [_419032, _419034, _419036] : [relation(_419032), in(ordered_pair(_419036, _419034), _419032), 1963 ^ _350349 : [(1964 ^ _350349) ^ [] : [-(in(_419036, relation_dom(_419032)))], (1966 ^ _350349) ^ [] : [-(in(_419034, relation_rng(_419032)))]]], (1968 ^ _350349) ^ [_419416] : [relation(_419416), -(subset(_419416, cartesian_product2(relation_dom(_419416), relation_rng(_419416))))], (1974 ^ _350349) ^ [_419618] : [relation(_419618), 1977 ^ _350349 : [(1978 ^ _350349) ^ [_419768] : [relation(_419768), subset(_419618, _419768), 1985 ^ _350349 : [(1986 ^ _350349) ^ [] : [-(subset(relation_dom(_419618), relation_dom(_419768)))], (1988 ^ _350349) ^ [] : [-(subset(relation_rng(_419618), relation_rng(_419768)))]]]]], (1990 ^ _350349) ^ [_420177, _420179, _420181] : [subset(_420181, _420179), -(subset(set_intersection2(_420181, _420177), set_intersection2(_420179, _420177)))], (1996 ^ _350349) ^ [_420405, _420407] : [subset(_420407, _420405), -(set_intersection2(_420407, _420405) = _420407)], (2002 ^ _350349) ^ [_420592] : [-(set_intersection2(_420592, empty_set) = empty_set)], (2004 ^ _350349) ^ [_420702, _420704] : [element(_420704, _420702), -(empty(_420702)), -(in(_420704, _420702))], (2014 ^ _350349) ^ [_421000, _421002] : [-(_421002 = _421000), 2018 ^ _350349 : [(2019 ^ _350349) ^ [] : [-(in(2015 ^ [_421000, _421002], _421002))], (2021 ^ _350349) ^ [] : [in(2015 ^ [_421000, _421002], _421000)]], 2022 ^ _350349 : [(2023 ^ _350349) ^ [] : [-(in(2015 ^ [_421000, _421002], _421000))], (2025 ^ _350349) ^ [] : [in(2015 ^ [_421000, _421002], _421002)]]], (2029 ^ _350349) ^ [_421501] : [-(subset(empty_set, _421501))], (2031 ^ _350349) ^ [_421622, _421624, _421626] : [relation(_421622), in(ordered_pair(_421626, _421624), _421622), 2038 ^ _350349 : [(2039 ^ _350349) ^ [] : [-(in(_421626, relation_field(_421622)))], (2041 ^ _350349) ^ [] : [-(in(_421624, relation_field(_421622)))]]], (2043 ^ _350349) ^ [_422034, _422036, _422038] : [subset(_422038, _422036), -(subset(set_difference(_422038, _422034), set_difference(_422036, _422034)))], (2049 ^ _350349) ^ [_422290, _422292, _422294, _422296] : [ordered_pair(_422296, _422294) = ordered_pair(_422292, _422290), 2052 ^ _350349 : [(2053 ^ _350349) ^ [] : [-(_422296 = _422292)], (2055 ^ _350349) ^ [] : [-(_422294 = _422290)]]], (2057 ^ _350349) ^ [_422588, _422590] : [-(subset(set_difference(_422590, _422588), _422590))], (2059 ^ _350349) ^ [_422686] : [relation(_422686), 2062 ^ _350349 : [(2063 ^ _350349) ^ [] : [-(relation_rng(_422686) = relation_dom(relation_inverse(_422686)))], (2065 ^ _350349) ^ [] : [-(relation_dom(_422686) = relation_rng(relation_inverse(_422686)))]]], (2067 ^ _350349) ^ [_423014, _423016] : [set_difference(_423016, _423014) = empty_set, -(subset(_423016, _423014))], (2073 ^ _350349) ^ [_423182, _423184] : [subset(_423184, _423182), -(set_difference(_423184, _423182) = empty_set)], (2079 ^ _350349) ^ [_423429, _423431] : [subset(singleton(_423431), _423429), -(in(_423431, _423429))], (2085 ^ _350349) ^ [_423595, _423597] : [in(_423597, _423595), -(subset(singleton(_423597), _423595))], (2091 ^ _350349) ^ [_423854, _423856, _423858] : [subset(unordered_pair(_423858, _423856), _423854), 2094 ^ _350349 : [(2095 ^ _350349) ^ [] : [-(in(_423858, _423854))], (2097 ^ _350349) ^ [] : [-(in(_423856, _423854))]]], (2099 ^ _350349) ^ [_424105, _424107, _424109] : [-(subset(unordered_pair(_424109, _424107), _424105)), in(_424109, _424105), in(_424107, _424105)], (2109 ^ _350349) ^ [_424407, _424409] : [-(set_union2(_424409, set_difference(_424407, _424409)) = set_union2(_424409, _424407))], (2121 ^ _350349) ^ [_424814, _424816] : [2122 ^ _350349 : [(2123 ^ _350349) ^ [] : [_424816 = empty_set], (2125 ^ _350349) ^ [] : [_424816 = singleton(_424814)]], -(subset(_424816, singleton(_424814)))], (2111 ^ _350349) ^ [_424554, _424556] : [subset(_424556, singleton(_424554)), -(_424556 = empty_set), -(_424556 = singleton(_424554))], (2129 ^ _350349) ^ [_425079] : [-(set_difference(_425079, empty_set) = _425079)], (2131 ^ _350349) ^ [_425218, _425220] : [element(_425220, powerset(_425218)), -(subset(_425220, _425218))], (2137 ^ _350349) ^ [_425384, _425386] : [subset(_425386, _425384), -(element(_425386, powerset(_425384)))], (2143 ^ _350349) ^ [_425620, _425622] : [-(disjoint(_425622, _425620)), 2147 ^ _350349 : [(2148 ^ _350349) ^ [] : [-(in(2146 ^ [_425620, _425622], _425622))], (2150 ^ _350349) ^ [] : [-(in(2146 ^ [_425620, _425622], _425620))]]], (2152 ^ _350349) ^ [_425934, _425936] : [disjoint(_425936, _425934), 2153 ^ _350349 : [(2154 ^ _350349) ^ [_426026] : [in(_426026, _425936), in(_426026, _425934)]]], (2162 ^ _350349) ^ [_426283] : [subset(_426283, empty_set), -(_426283 = empty_set)], (2168 ^ _350349) ^ [_426472, _426474] : [-(set_difference(set_union2(_426474, _426472), _426472) = set_difference(_426474, _426472))], (2170 ^ _350349) ^ [_426590, _426592] : [element(_426590, powerset(_426592)), 2173 ^ _350349 : [(2174 ^ _350349) ^ [_426742] : [element(_426742, powerset(_426592)), 2177 ^ _350349 : [(2178 ^ _350349) ^ [] : [disjoint(_426590, _426742), -(subset(_426590, subset_complement(_426592, _426742)))], (2184 ^ _350349) ^ [] : [subset(_426590, subset_complement(_426592, _426742)), -(disjoint(_426590, _426742))]]]]], (2190 ^ _350349) ^ [_427226] : [relation(_427226), 2193 ^ _350349 : [(2194 ^ _350349) ^ [_427363] : [relation(_427363), -(subset(relation_dom(relation_composition(_427226, _427363)), relation_dom(_427226)))]]], (2200 ^ _350349) ^ [_427578] : [relation(_427578), 2203 ^ _350349 : [(2204 ^ _350349) ^ [_427715] : [relation(_427715), -(subset(relation_rng(relation_composition(_427578, _427715)), relation_rng(_427715)))]]], (2210 ^ _350349) ^ [_427944, _427946] : [subset(_427946, _427944), -(_427944 = set_union2(_427946, set_difference(_427944, _427946)))], (2216 ^ _350349) ^ [_428152] : [relation(_428152), 2219 ^ _350349 : [(2220 ^ _350349) ^ [_428299] : [relation(_428299), subset(relation_rng(_428152), relation_dom(_428299)), -(relation_dom(relation_composition(_428152, _428299)) = relation_dom(_428152))]]], (2230 ^ _350349) ^ [_428625, _428627] : [element(_428625, powerset(powerset(_428627))), -(_428625 = empty_set), complements_of_subsets(_428627, _428625) = empty_set], (2240 ^ _350349) ^ [_428942, _428944] : [in(_428944, _428942), -(set_union2(singleton(_428944), _428942) = _428942)], (2246 ^ _350349) ^ [_429148] : [relation(_429148), 2249 ^ _350349 : [(2250 ^ _350349) ^ [_429295] : [relation(_429295), subset(relation_dom(_429148), relation_rng(_429295)), -(relation_rng(relation_composition(_429295, _429148)) = relation_rng(_429148))]]], (2260 ^ _350349) ^ [_429621, _429623] : [element(_429621, powerset(powerset(_429623))), -(_429621 = empty_set), -(subset_difference(_429623, cast_to_subset(_429623), union_of_subsets(_429623, _429621)) = meet_of_subsets(_429623, complements_of_subsets(_429623, _429621)))], (2270 ^ _350349) ^ [_429961, _429963] : [element(_429961, powerset(powerset(_429963))), -(_429961 = empty_set), -(union_of_subsets(_429963, complements_of_subsets(_429963, _429961)) = subset_difference(_429963, cast_to_subset(_429963), meet_of_subsets(_429963, _429961)))], (2280 ^ _350349) ^ [_430286, _430288] : [-(set_difference(_430288, set_difference(_430288, _430286)) = set_intersection2(_430288, _430286))], (2282 ^ _350349) ^ [_430375] : [-(set_difference(empty_set, _430375) = empty_set)], (2284 ^ _350349) ^ [_430499, _430501, _430503] : [-(element(_430503, _430499)), in(_430503, _430501), element(_430501, powerset(_430499))], (2294 ^ _350349) ^ [_430832, _430834] : [-(disjoint(_430834, _430832)), -(in(2297 ^ [_430832, _430834], set_intersection2(_430834, _430832)))], (2301 ^ _350349) ^ [_431067, _431069] : [2302 ^ _350349 : [(2303 ^ _350349) ^ [_431140] : [in(_431140, set_intersection2(_431069, _431067))]], disjoint(_431069, _431067)], (2307 ^ _350349) ^ [_431292] : [-(_431292 = empty_set), 2310 ^ _350349 : [(2311 ^ _350349) ^ [_431452] : [element(_431452, powerset(_431292)), 2314 ^ _350349 : [(2315 ^ _350349) ^ [_431606] : [element(_431606, _431292), -(in(_431606, _431452)), -(in(_431606, subset_complement(_431292, _431452)))]]]]], (2325 ^ _350349) ^ [_431952, _431954, _431956] : [element(_431952, powerset(_431956)), in(_431954, subset_complement(_431956, _431952)), in(_431954, _431952)], (2335 ^ _350349) ^ [_432258] : [relation(_432258), -(in(ordered_pair(2340 ^ [_432258], 2341 ^ [_432258]), _432258)), -(_432258 = empty_set)], (2347 ^ _350349) ^ [_432690, _432692, _432694] : [in(_432694, _432692), element(_432692, powerset(_432690)), empty(_432690)], (2357 ^ _350349) ^ [] : [-(relation_dom(empty_set) = empty_set)], (2359 ^ _350349) ^ [] : [-(relation_rng(empty_set) = empty_set)], (2361 ^ _350349) ^ [_433108, _433110] : [subset(_433110, _433108), proper_subset(_433108, _433110)], (2367 ^ _350349) ^ [_433331, _433333, _433335] : [-(disjoint(_433335, _433331)), subset(_433335, _433333), disjoint(_433333, _433331)], (2377 ^ _350349) ^ [_433626] : [relation(_433626), 2382 ^ _350349 : [(2383 ^ _350349) ^ [] : [relation_dom(_433626) = empty_set], (2385 ^ _350349) ^ [] : [relation_rng(_433626) = empty_set]], -(_433626 = empty_set)], (2389 ^ _350349) ^ [_433979] : [relation(_433979), 2392 ^ _350349 : [(2393 ^ _350349) ^ [] : [relation_dom(_433979) = empty_set, -(relation_rng(_433979) = empty_set)], (2399 ^ _350349) ^ [] : [relation_rng(_433979) = empty_set, -(relation_dom(_433979) = empty_set)]]], (2405 ^ _350349) ^ [_434462, _434464] : [set_difference(_434464, singleton(_434462)) = _434464, in(_434462, _434464)], (2411 ^ _350349) ^ [_434635, _434637] : [-(in(_434635, _434637)), -(set_difference(_434637, singleton(_434635)) = _434637)], (2417 ^ _350349) ^ [_434831] : [-(unordered_pair(_434831, _434831) = singleton(_434831))], (2419 ^ _350349) ^ [_434929] : [empty(_434929), -(_434929 = empty_set)], (2425 ^ _350349) ^ [_435131, _435133] : [subset(singleton(_435133), singleton(_435131)), -(_435133 = _435131)], (2431 ^ _350349) ^ [_435340] : [-(relation_dom(identity_relation(_435340)) = _435340)], (2433 ^ _350349) ^ [_435388] : [-(relation_rng(identity_relation(_435388)) = _435388)], (2435 ^ _350349) ^ [_435529, _435531, _435533, _435535] : [relation(_435529), 2438 ^ _350349 : [(2439 ^ _350349) ^ [] : [in(ordered_pair(_435535, _435533), relation_composition(identity_relation(_435531), _435529)), 2442 ^ _350349 : [(2443 ^ _350349) ^ [] : [-(in(_435535, _435531))], (2445 ^ _350349) ^ [] : [-(in(ordered_pair(_435535, _435533), _435529))]]], (2447 ^ _350349) ^ [] : [-(in(ordered_pair(_435535, _435533), relation_composition(identity_relation(_435531), _435529))), in(_435535, _435531), in(ordered_pair(_435535, _435533), _435529)]]], (2457 ^ _350349) ^ [_436222, _436224] : [in(_436224, _436222), empty(_436222)], (2463 ^ _350349) ^ [_436414, _436416] : [-(subset(_436416, set_union2(_436416, _436414)))], (2465 ^ _350349) ^ [_436555, _436557] : [disjoint(_436557, _436555), -(set_difference(_436557, _436555) = _436557)], (2471 ^ _350349) ^ [_436723, _436725] : [set_difference(_436725, _436723) = _436725, -(disjoint(_436725, _436723))], (2477 ^ _350349) ^ [_436955, _436957, _436959] : [relation(_436955), 2480 ^ _350349 : [(2481 ^ _350349) ^ [] : [in(_436959, relation_dom(relation_dom_restriction(_436955, _436957))), 2484 ^ _350349 : [(2485 ^ _350349) ^ [] : [-(in(_436959, _436957))], (2487 ^ _350349) ^ [] : [-(in(_436959, relation_dom(_436955)))]]], (2489 ^ _350349) ^ [] : [-(in(_436959, relation_dom(relation_dom_restriction(_436955, _436957)))), in(_436959, _436957), in(_436959, relation_dom(_436955))]]], (2499 ^ _350349) ^ [_437614, _437616] : [relation(_437614), -(subset(relation_dom_restriction(_437614, _437616), _437614))], (2505 ^ _350349) ^ [_437828, _437830] : [empty(_437830), -(_437830 = _437828), empty(_437828)], (2515 ^ _350349) ^ [_438139, _438141, _438143] : [-(subset(set_union2(_438143, _438139), _438141)), subset(_438143, _438141), subset(_438139, _438141)], (2525 ^ _350349) ^ [_438468, _438470, _438472] : [singleton(_438472) = unordered_pair(_438470, _438468), -(_438472 = _438470)], (2531 ^ _350349) ^ [_438694, _438696] : [relation(_438694), -(relation_dom(relation_dom_restriction(_438694, _438696)) = set_intersection2(relation_dom(_438694), _438696))], (2537 ^ _350349) ^ [_438922, _438924] : [in(_438924, _438922), -(subset(_438924, union(_438922)))], (2543 ^ _350349) ^ [_439136, _439138] : [relation(_439136), -(relation_dom_restriction(_439136, _439138) = relation_composition(identity_relation(_439138), _439136))], (2549 ^ _350349) ^ [_439360, _439362] : [relation(_439360), -(subset(relation_rng(relation_dom_restriction(_439360, _439362)), relation_rng(_439360)))], (2555 ^ _350349) ^ [_439553] : [-(union(powerset(_439553)) = _439553)], (2593 ^ _350349) ^ [_441074, _441076, _441078] : [singleton(_441078) = unordered_pair(_441076, _441074), -(_441076 = _441074)], (2558 ^ _350349) ^ [_439794] : [-(in(_439794, 2556 ^ [_439794]))], (2560 ^ _350349) ^ [_439906, _439908, _439910] : [-(in(_439906, 2556 ^ [_439910])), in(_439908, 2556 ^ [_439910]), subset(_439906, _439908)], (2570 ^ _350349) ^ [_440221, _440223] : [in(_440221, 2556 ^ [_440223]), 2574 ^ _350349 : [(2575 ^ _350349) ^ [] : [-(in(2573 ^ [_440221, _440223], 2556 ^ [_440223]))], (2577 ^ _350349) ^ [_440533] : [subset(_440533, _440221), -(in(_440533, 2573 ^ [_440221, _440223]))]]], (2583 ^ _350349) ^ [_440740, _440742] : [subset(_440740, 2556 ^ [_440742]), -(are_equipotent(_440740, 2556 ^ [_440742])), -(in(_440740, 2556 ^ [_440742]))]], input).
% 8.62/8.62  ncf('1',plain,[subset(relation_rng_restriction(2598 ^ [], 2599 ^ []), 2599 ^ [])],start(2603 ^ 0)).
% 8.62/8.62  ncf('1.1',plain,[-(subset(relation_rng_restriction(2598 ^ [], 2599 ^ []), 2599 ^ [])), 924 : in(ordered_pair(919 ^ [relation_rng_restriction(2598 ^ [], 2599 ^ []), 2599 ^ []], 920 ^ [relation_rng_restriction(2598 ^ [], 2599 ^ []), 2599 ^ []]), 2599 ^ []), 918 : relation(2599 ^ []), 904 : relation(relation_rng_restriction(2598 ^ [], 2599 ^ []))],extension(900 ^ 1,bind([[_382456, _382614], [relation_rng_restriction(2598 ^ [], 2599 ^ []), 2599 ^ []]]))).
% 8.62/8.62  ncf('1.1.1',plain,[-(in(ordered_pair(919 ^ [relation_rng_restriction(2598 ^ [], 2599 ^ []), 2599 ^ []], 920 ^ [relation_rng_restriction(2598 ^ [], 2599 ^ []), 2599 ^ []]), 2599 ^ [])), 482 : in(ordered_pair(919 ^ [relation_rng_restriction(2598 ^ [], 2599 ^ []), 2599 ^ []], 920 ^ [relation_rng_restriction(2598 ^ [], 2599 ^ []), 2599 ^ []]), relation_rng_restriction(2598 ^ [], 2599 ^ [])), 482 : relation_rng_restriction(2598 ^ [], 2599 ^ []) = relation_rng_restriction(2598 ^ [], 2599 ^ []), 478 : relation(relation_rng_restriction(2598 ^ [], 2599 ^ [])), 474 : relation(2599 ^ [])],extension(470 ^ 8,bind([[_366894, _366896, _367065, _367392, _367394], [2599 ^ [], 2598 ^ [], relation_rng_restriction(2598 ^ [], 2599 ^ []), 920 ^ [relation_rng_restriction(2598 ^ [], 2599 ^ []), 2599 ^ []], 919 ^ [relation_rng_restriction(2598 ^ [], 2599 ^ []), 2599 ^ []]]]))).
% 8.62/8.62  ncf('1.1.1.1',plain,[-(in(ordered_pair(919 ^ [relation_rng_restriction(2598 ^ [], 2599 ^ []), 2599 ^ []], 920 ^ [relation_rng_restriction(2598 ^ [], 2599 ^ []), 2599 ^ []]), relation_rng_restriction(2598 ^ [], 2599 ^ [])))],extension(922 ^ 15)).
% 8.62/8.62  ncf('1.1.1.2',plain,[-(relation_rng_restriction(2598 ^ [], 2599 ^ []) = relation_rng_restriction(2598 ^ [], 2599 ^ []))],extension(2 ^ 13,bind([[_350493], [relation_rng_restriction(2598 ^ [], 2599 ^ [])]]))).
% 8.62/8.62  ncf('1.1.1.3',plain,[-(relation(relation_rng_restriction(2598 ^ [], 2599 ^ []))), relation(2599 ^ [])],extension(1485 ^ 11,bind([[_402779, _402781], [2599 ^ [], 2598 ^ []]]))).
% 8.62/8.62  ncf('1.1.1.3.1',plain,[-(relation(2599 ^ []))],extension(2601 ^ 12)).
% 8.62/8.62  ncf('1.1.1.4',plain,[-(relation(2599 ^ []))],extension(2601 ^ 9)).
% 8.62/8.62  ncf('1.1.2',plain,[-(relation(2599 ^ []))],extension(2601 ^ 4)).
% 8.62/8.62  ncf('1.1.3',plain,[-(relation(relation_rng_restriction(2598 ^ [], 2599 ^ []))), relation(2599 ^ [])],extension(1485 ^ 2,bind([[_402779, _402781], [2599 ^ [], 2598 ^ []]]))).
% 8.62/8.62  ncf('1.1.3.1',plain,[-(relation(2599 ^ []))],extension(2601 ^ 3)).
% 8.62/8.62  %-----------------------------------------------------
% 8.62/8.62  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------