TSTP Solution File: SEU200+2 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU200+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n017.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 0.61s 1.38s
% Output   : Proof 0.61s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU200+2 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n017.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 13:10:00 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.61/1.38  
% 0.61/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.61/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/1.38  %-----------------------------------------------------
% 0.61/1.38  ncf(matrix, plain, [(2607 ^ _350357) ^ [] : [-(relation(2605 ^ []))], (2609 ^ _350357) ^ [] : [subset(relation_rng(relation_rng_restriction(2604 ^ [], 2605 ^ [])), relation_rng(2605 ^ []))], (2 ^ _350357) ^ [_350501] : [-(_350501 = _350501)], (4 ^ _350357) ^ [_350608, _350610] : [_350610 = _350608, -(_350608 = _350610)], (10 ^ _350357) ^ [_350812, _350814, _350816] : [-(_350816 = _350812), _350816 = _350814, _350814 = _350812], (20 ^ _350357) ^ [_351153, _351155, _351157, _351159] : [-(element(_351157, _351153)), element(_351159, _351155), _351159 = _351157, _351155 = _351153], (34 ^ _350357) ^ [_351597, _351599, _351601, _351603] : [-(proper_subset(_351601, _351597)), proper_subset(_351603, _351599), _351603 = _351601, _351599 = _351597], (48 ^ _350357) ^ [_352041, _352043, _352045, _352047] : [-(disjoint(_352045, _352041)), disjoint(_352047, _352043), _352047 = _352045, _352043 = _352041], (62 ^ _350357) ^ [_352457, _352459] : [-(empty(_352457)), _352459 = _352457, empty(_352459)], (72 ^ _350357) ^ [_352780, _352782, _352784, _352786] : [-(are_equipotent(_352784, _352780)), are_equipotent(_352786, _352782), _352786 = _352784, _352782 = _352780], (86 ^ _350357) ^ [_353224, _353226, _353228, _353230] : [-(in(_353228, _353224)), in(_353230, _353226), _353230 = _353228, _353226 = _353224], (100 ^ _350357) ^ [_353640, _353642] : [-(relation(_353640)), _353642 = _353640, relation(_353642)], (110 ^ _350357) ^ [_353943, _353945, _353947, _353949] : [-(subset(_353947, _353943)), subset(_353949, _353945), _353949 = _353947, _353945 = _353943], (124 ^ _350357) ^ [_354379, _354381] : [_354381 = _354379, -(set_meet(_354381) = set_meet(_354379))], (130 ^ _350357) ^ [_354625, _354627, _354629, _354631] : [-(cartesian_product2(_354631, _354627) = cartesian_product2(_354629, _354625)), _354631 = _354629, _354627 = _354625], (140 ^ _350357) ^ [_354956, _354958] : [_354958 = _354956, -(relation_field(_354958) = relation_field(_354956))], (146 ^ _350357) ^ [_355174, _355176] : [_355176 = _355174, -(relation_inverse(_355176) = relation_inverse(_355174))], (152 ^ _350357) ^ [_355420, _355422, _355424, _355426] : [-(union_of_subsets(_355426, _355422) = union_of_subsets(_355424, _355420)), _355426 = _355424, _355422 = _355420], (162 ^ _350357) ^ [_355779, _355781, _355783, _355785] : [-(complements_of_subsets(_355785, _355781) = complements_of_subsets(_355783, _355779)), _355785 = _355783, _355781 = _355779], (172 ^ _350357) ^ [_356166, _356168, _356170, _356172, _356174, _356176] : [-(subset_difference(_356176, _356172, _356168) = subset_difference(_356174, _356170, _356166)), _356176 = _356174, _356172 = _356170, _356168 = _356166], (186 ^ _350357) ^ [_356626, _356628] : [_356628 = _356626, -(cast_to_subset(_356628) = cast_to_subset(_356626))], (192 ^ _350357) ^ [_356872, _356874, _356876, _356878] : [-(meet_of_subsets(_356878, _356874) = meet_of_subsets(_356876, _356872)), _356878 = _356876, _356874 = _356872], (202 ^ _350357) ^ [_357231, _357233, _357235, _357237] : [-(subset_complement(_357237, _357233) = subset_complement(_357235, _357231)), _357237 = _357235, _357233 = _357231], (212 ^ _350357) ^ [_357590, _357592, _357594, _357596] : [-(ordered_pair(_357596, _357592) = ordered_pair(_357594, _357590)), _357596 = _357594, _357592 = _357590], (222 ^ _350357) ^ [_357949, _357951, _357953, _357955] : [-(set_difference(_357955, _357951) = set_difference(_357953, _357949)), _357955 = _357953, _357951 = _357949], (232 ^ _350357) ^ [_358308, _358310, _358312, _358314] : [-(set_union2(_358314, _358310) = set_union2(_358312, _358308)), _358314 = _358312, _358310 = _358308], (242 ^ _350357) ^ [_358667, _358669, _358671, _358673] : [-(set_intersection2(_358673, _358669) = set_intersection2(_358671, _358667)), _358673 = _358671, _358669 = _358667], (252 ^ _350357) ^ [_358998, _359000] : [_359000 = _358998, -(relation_dom(_359000) = relation_dom(_358998))], (258 ^ _350357) ^ [_359244, _359246, _359248, _359250] : [-(relation_composition(_359250, _359246) = relation_composition(_359248, _359244)), _359250 = _359248, _359246 = _359244], (268 ^ _350357) ^ [_359575, _359577] : [_359577 = _359575, -(identity_relation(_359577) = identity_relation(_359575))], (274 ^ _350357) ^ [_359821, _359823, _359825, _359827] : [-(relation_dom_restriction(_359827, _359823) = relation_dom_restriction(_359825, _359821)), _359827 = _359825, _359823 = _359821], (284 ^ _350357) ^ [_360152, _360154] : [_360154 = _360152, -(union(_360154) = union(_360152))], (290 ^ _350357) ^ [_360370, _360372] : [_360372 = _360370, -(powerset(_360372) = powerset(_360370))], (296 ^ _350357) ^ [_360588, _360590] : [_360590 = _360588, -(singleton(_360590) = singleton(_360588))], (302 ^ _350357) ^ [_360834, _360836, _360838, _360840] : [-(unordered_pair(_360840, _360836) = unordered_pair(_360838, _360834)), _360840 = _360838, _360836 = _360834], (322 ^ _350357) ^ [_361504, _361506] : [_361506 = _361504, -(relation_rng(_361506) = relation_rng(_361504))], (312 ^ _350357) ^ [_361193, _361195, _361197, _361199] : [-(relation_rng_restriction(_361199, _361195) = relation_rng_restriction(_361197, _361193)), _361199 = _361197, _361195 = _361193], (328 ^ _350357) ^ [_361830, _361832] : [in(_361832, _361830), in(_361830, _361832)], (334 ^ _350357) ^ [_362041, _362043] : [proper_subset(_362043, _362041), proper_subset(_362041, _362043)], (340 ^ _350357) ^ [_362238] : [empty(_362238), -(relation(_362238))], (346 ^ _350357) ^ [_362423, _362425] : [-(unordered_pair(_362425, _362423) = unordered_pair(_362423, _362425))], (348 ^ _350357) ^ [_362523, _362525] : [-(set_union2(_362525, _362523) = set_union2(_362523, _362525))], (350 ^ _350357) ^ [_362623, _362625] : [-(set_intersection2(_362625, _362623) = set_intersection2(_362623, _362625))], (352 ^ _350357) ^ [_362738, _362740] : [relation(_362738), 355 ^ _350357 : [(378 ^ _350357) ^ [] : [-(_362738 = identity_relation(_362740)), 391 ^ _350357 : [(392 ^ _350357) ^ [] : [-(in(379 ^ [_362738, _362740], _362740))], (394 ^ _350357) ^ [] : [-(379 ^ [_362738, _362740] = 380 ^ [_362738, _362740])], (396 ^ _350357) ^ [] : [in(ordered_pair(379 ^ [_362738, _362740], 380 ^ [_362738, _362740]), _362738)]], 383 ^ _350357 : [(384 ^ _350357) ^ [] : [-(in(ordered_pair(379 ^ [_362738, _362740], 380 ^ [_362738, _362740]), _362738))], (386 ^ _350357) ^ [] : [in(379 ^ [_362738, _362740], _362740), 379 ^ [_362738, _362740] = 380 ^ [_362738, _362740]]]], (356 ^ _350357) ^ [] : [_362738 = identity_relation(_362740), 359 ^ _350357 : [(360 ^ _350357) ^ [_363048, _363050] : [in(ordered_pair(_363050, _363048), _362738), 363 ^ _350357 : [(364 ^ _350357) ^ [] : [-(in(_363050, _362740))], (366 ^ _350357) ^ [] : [-(_363050 = _363048)]]], (368 ^ _350357) ^ [_363311, _363313] : [-(in(ordered_pair(_363313, _363311), _362738)), in(_363313, _362740), _363313 = _363311]]]]], (400 ^ _350357) ^ [_364419, _364421] : [_364421 = _364419, 403 ^ _350357 : [(404 ^ _350357) ^ [] : [-(subset(_364421, _364419))], (406 ^ _350357) ^ [] : [-(subset(_364419, _364421))]]], (408 ^ _350357) ^ [_364656, _364658] : [-(_364658 = _364656), subset(_364658, _364656), subset(_364656, _364658)], (418 ^ _350357) ^ [_364943] : [relation(_364943), 421 ^ _350357 : [(422 ^ _350357) ^ [_365129, _365131] : [relation(_365129), 425 ^ _350357 : [(448 ^ _350357) ^ [] : [-(_365129 = relation_dom_restriction(_364943, _365131)), 461 ^ _350357 : [(462 ^ _350357) ^ [] : [-(in(449 ^ [_364943, _365129, _365131], _365131))], (464 ^ _350357) ^ [] : [-(in(ordered_pair(449 ^ [_364943, _365129, _365131], 450 ^ [_364943, _365129, _365131]), _364943))], (466 ^ _350357) ^ [] : [in(ordered_pair(449 ^ [_364943, _365129, _365131], 450 ^ [_364943, _365129, _365131]), _365129)]], 453 ^ _350357 : [(454 ^ _350357) ^ [] : [-(in(ordered_pair(449 ^ [_364943, _365129, _365131], 450 ^ [_364943, _365129, _365131]), _365129))], (456 ^ _350357) ^ [] : [in(449 ^ [_364943, _365129, _365131], _365131), in(ordered_pair(449 ^ [_364943, _365129, _365131], 450 ^ [_364943, _365129, _365131]), _364943)]]], (426 ^ _350357) ^ [] : [_365129 = relation_dom_restriction(_364943, _365131), 429 ^ _350357 : [(430 ^ _350357) ^ [_365454, _365456] : [in(ordered_pair(_365456, _365454), _365129), 433 ^ _350357 : [(434 ^ _350357) ^ [] : [-(in(_365456, _365131))], (436 ^ _350357) ^ [] : [-(in(ordered_pair(_365456, _365454), _364943))]]], (438 ^ _350357) ^ [_365733, _365735] : [-(in(ordered_pair(_365735, _365733), _365129)), in(_365735, _365131), in(ordered_pair(_365735, _365733), _364943)]]]]]]], (470 ^ _350357) ^ [_366902, _366904] : [relation(_366902), 473 ^ _350357 : [(474 ^ _350357) ^ [_367073] : [relation(_367073), 477 ^ _350357 : [(500 ^ _350357) ^ [] : [-(_367073 = relation_rng_restriction(_366904, _366902)), 513 ^ _350357 : [(514 ^ _350357) ^ [] : [-(in(502 ^ [_366902, _366904, _367073], _366904))], (516 ^ _350357) ^ [] : [-(in(ordered_pair(501 ^ [_366902, _366904, _367073], 502 ^ [_366902, _366904, _367073]), _366902))], (518 ^ _350357) ^ [] : [in(ordered_pair(501 ^ [_366902, _366904, _367073], 502 ^ [_366902, _366904, _367073]), _367073)]], 505 ^ _350357 : [(506 ^ _350357) ^ [] : [-(in(ordered_pair(501 ^ [_366902, _366904, _367073], 502 ^ [_366902, _366904, _367073]), _367073))], (508 ^ _350357) ^ [] : [in(502 ^ [_366902, _366904, _367073], _366904), in(ordered_pair(501 ^ [_366902, _366904, _367073], 502 ^ [_366902, _366904, _367073]), _366902)]]], (478 ^ _350357) ^ [] : [_367073 = relation_rng_restriction(_366904, _366902), 481 ^ _350357 : [(482 ^ _350357) ^ [_367400, _367402] : [in(ordered_pair(_367402, _367400), _367073), 485 ^ _350357 : [(486 ^ _350357) ^ [] : [-(in(_367400, _366904))], (488 ^ _350357) ^ [] : [-(in(ordered_pair(_367402, _367400), _366902))]]], (490 ^ _350357) ^ [_367679, _367681] : [-(in(ordered_pair(_367681, _367679), _367073)), in(_367679, _366904), in(ordered_pair(_367681, _367679), _366902)]]]]]]], (534 ^ _350357) ^ [_369315] : [536 ^ _350357 : [(537 ^ _350357) ^ [] : [-(in(535 ^ [_369315], _369315))], (539 ^ _350357) ^ [_369552, _369554] : [535 ^ [_369315] = ordered_pair(_369554, _369552)]], -(relation(_369315))], (522 ^ _350357) ^ [_368854] : [relation(_368854), 525 ^ _350357 : [(526 ^ _350357) ^ [_369002] : [in(_369002, _368854), -(_369002 = ordered_pair(529 ^ [_368854, _369002], 530 ^ [_368854, _369002]))]]], (592 ^ _350357) ^ [_371450, _371452] : [_371452 = empty_set, 595 ^ _350357 : [(596 ^ _350357) ^ [] : [_371450 = set_meet(_371452), -(_371450 = empty_set)], (602 ^ _350357) ^ [] : [_371450 = empty_set, -(_371450 = set_meet(_371452))]]], (543 ^ _350357) ^ [_369743, _369745] : [-(_369745 = empty_set), 546 ^ _350357 : [(570 ^ _350357) ^ [] : [-(_369743 = set_meet(_369745)), 574 ^ _350357 : [(575 ^ _350357) ^ [] : [-(in(571 ^ [_369743, _369745], _369743))], (578 ^ _350357) ^ [] : [-(in(576 ^ [_369743, _369745], _369745))], (580 ^ _350357) ^ [] : [in(571 ^ [_369743, _369745], 576 ^ [_369743, _369745])]], 581 ^ _350357 : [(588 ^ _350357) ^ [] : [in(571 ^ [_369743, _369745], _369743)], (582 ^ _350357) ^ [_371145] : [in(_371145, _369745), -(in(571 ^ [_369743, _369745], _371145))]]], (547 ^ _350357) ^ [] : [_369743 = set_meet(_369745), 550 ^ _350357 : [(561 ^ _350357) ^ [_370371] : [563 ^ _350357 : [(564 ^ _350357) ^ [] : [-(in(562 ^ [_369743, _369745, _370371], _369745))], (566 ^ _350357) ^ [] : [in(_370371, 562 ^ [_369743, _369745, _370371])]], -(in(_370371, _369743))], (551 ^ _350357) ^ [_370041] : [in(_370041, _369743), 554 ^ _350357 : [(555 ^ _350357) ^ [_370186] : [in(_370186, _369745), -(in(_370041, _370186))]]]]]]], (624 ^ _350357) ^ [_372468, _372470] : [-(_372468 = singleton(_372470)), 628 ^ _350357 : [(629 ^ _350357) ^ [] : [-(in(625 ^ [_372468, _372470], _372468))], (631 ^ _350357) ^ [] : [625 ^ [_372468, _372470] = _372470]], 632 ^ _350357 : [(633 ^ _350357) ^ [] : [-(625 ^ [_372468, _372470] = _372470)], (635 ^ _350357) ^ [] : [in(625 ^ [_372468, _372470], _372468)]]], (608 ^ _350357) ^ [_371947, _371949] : [_371947 = singleton(_371949), 611 ^ _350357 : [(612 ^ _350357) ^ [_372117] : [in(_372117, _371947), -(_372117 = _371949)], (618 ^ _350357) ^ [_372289] : [_372289 = _371949, -(in(_372289, _371947))]]], (639 ^ _350357) ^ [_373019] : [_373019 = empty_set, 642 ^ _350357 : [(643 ^ _350357) ^ [_373132] : [in(_373132, _373019)]]], (645 ^ _350357) ^ [_373198] : [-(in(646 ^ [_373198], _373198)), -(_373198 = empty_set)], (668 ^ _350357) ^ [_374010, _374012] : [-(_374010 = powerset(_374012)), 672 ^ _350357 : [(673 ^ _350357) ^ [] : [-(in(669 ^ [_374010, _374012], _374010))], (675 ^ _350357) ^ [] : [subset(669 ^ [_374010, _374012], _374012)]], 676 ^ _350357 : [(677 ^ _350357) ^ [] : [-(subset(669 ^ [_374010, _374012], _374012))], (679 ^ _350357) ^ [] : [in(669 ^ [_374010, _374012], _374010)]]], (652 ^ _350357) ^ [_373489, _373491] : [_373489 = powerset(_373491), 655 ^ _350357 : [(656 ^ _350357) ^ [_373659] : [in(_373659, _373489), -(subset(_373659, _373491))], (662 ^ _350357) ^ [_373831] : [subset(_373831, _373491), -(in(_373831, _373489))]]], (683 ^ _350357) ^ [_374532] : [relation(_374532), 686 ^ _350357 : [(687 ^ _350357) ^ [_374690] : [relation(_374690), 690 ^ _350357 : [(707 ^ _350357) ^ [] : [-(_374532 = _374690), 712 ^ _350357 : [(713 ^ _350357) ^ [] : [-(in(ordered_pair(708 ^ [_374532, _374690], 709 ^ [_374532, _374690]), _374532))], (715 ^ _350357) ^ [] : [in(ordered_pair(708 ^ [_374532, _374690], 709 ^ [_374532, _374690]), _374690)]], 716 ^ _350357 : [(717 ^ _350357) ^ [] : [-(in(ordered_pair(708 ^ [_374532, _374690], 709 ^ [_374532, _374690]), _374690))], (719 ^ _350357) ^ [] : [in(ordered_pair(708 ^ [_374532, _374690], 709 ^ [_374532, _374690]), _374532)]]], (691 ^ _350357) ^ [] : [_374532 = _374690, 694 ^ _350357 : [(695 ^ _350357) ^ [_374995, _374997] : [in(ordered_pair(_374997, _374995), _374532), -(in(ordered_pair(_374997, _374995), _374690))], (701 ^ _350357) ^ [_375185, _375187] : [in(ordered_pair(_375187, _375185), _374690), -(in(ordered_pair(_375187, _375185), _374532))]]]]]]], (723 ^ _350357) ^ [_376022, _376024] : [-(empty(_376024)), 726 ^ _350357 : [(727 ^ _350357) ^ [] : [element(_376022, _376024), -(in(_376022, _376024))], (733 ^ _350357) ^ [] : [in(_376022, _376024), -(element(_376022, _376024))]]], (739 ^ _350357) ^ [_376435, _376437] : [empty(_376437), 742 ^ _350357 : [(743 ^ _350357) ^ [] : [element(_376435, _376437), -(empty(_376435))], (749 ^ _350357) ^ [] : [empty(_376435), -(element(_376435, _376437))]]], (777 ^ _350357) ^ [_377660, _377662, _377664] : [-(_377660 = unordered_pair(_377664, _377662)), 781 ^ _350357 : [(782 ^ _350357) ^ [] : [-(in(778 ^ [_377660, _377662, _377664], _377660))], (784 ^ _350357) ^ [] : [778 ^ [_377660, _377662, _377664] = _377664], (786 ^ _350357) ^ [] : [778 ^ [_377660, _377662, _377664] = _377662]], 787 ^ _350357 : [(794 ^ _350357) ^ [] : [in(778 ^ [_377660, _377662, _377664], _377660)], (788 ^ _350357) ^ [] : [-(778 ^ [_377660, _377662, _377664] = _377664), -(778 ^ [_377660, _377662, _377664] = _377662)]]], (755 ^ _350357) ^ [_376935, _376937, _376939] : [_376935 = unordered_pair(_376939, _376937), 758 ^ _350357 : [(769 ^ _350357) ^ [_377395] : [770 ^ _350357 : [(771 ^ _350357) ^ [] : [_377395 = _376939], (773 ^ _350357) ^ [] : [_377395 = _376937]], -(in(_377395, _376935))], (759 ^ _350357) ^ [_377117] : [in(_377117, _376935), -(_377117 = _376939), -(_377117 = _376937)]]], (820 ^ _350357) ^ [_379179, _379181, _379183] : [-(_379179 = set_union2(_379183, _379181)), 824 ^ _350357 : [(825 ^ _350357) ^ [] : [-(in(821 ^ [_379179, _379181, _379183], _379179))], (827 ^ _350357) ^ [] : [in(821 ^ [_379179, _379181, _379183], _379183)], (829 ^ _350357) ^ [] : [in(821 ^ [_379179, _379181, _379183], _379181)]], 830 ^ _350357 : [(837 ^ _350357) ^ [] : [in(821 ^ [_379179, _379181, _379183], _379179)], (831 ^ _350357) ^ [] : [-(in(821 ^ [_379179, _379181, _379183], _379183)), -(in(821 ^ [_379179, _379181, _379183], _379181))]]], (798 ^ _350357) ^ [_378454, _378456, _378458] : [_378454 = set_union2(_378458, _378456), 801 ^ _350357 : [(812 ^ _350357) ^ [_378914] : [813 ^ _350357 : [(814 ^ _350357) ^ [] : [in(_378914, _378458)], (816 ^ _350357) ^ [] : [in(_378914, _378456)]], -(in(_378914, _378454))], (802 ^ _350357) ^ [_378636] : [in(_378636, _378454), -(in(_378636, _378458)), -(in(_378636, _378456))]]], (871 ^ _350357) ^ [_381230, _381232, _381234] : [-(_381230 = cartesian_product2(_381234, _381232)), 889 ^ _350357 : [(890 ^ _350357) ^ [] : [-(in(887 ^ [_381230, _381232, _381234], _381234))], (892 ^ _350357) ^ [] : [-(in(888 ^ [_381230, _381232, _381234], _381232))], (894 ^ _350357) ^ [] : [-(872 ^ [_381230, _381232, _381234] = ordered_pair(887 ^ [_381230, _381232, _381234], 888 ^ [_381230, _381232, _381234]))], (896 ^ _350357) ^ [] : [in(872 ^ [_381230, _381232, _381234], _381230)]], 875 ^ _350357 : [(876 ^ _350357) ^ [] : [-(in(872 ^ [_381230, _381232, _381234], _381230))], (878 ^ _350357) ^ [_381568, _381570] : [in(_381570, _381234), in(_381568, _381232), 872 ^ [_381230, _381232, _381234] = ordered_pair(_381570, _381568)]]], (841 ^ _350357) ^ [_379973, _379975, _379977] : [_379973 = cartesian_product2(_379977, _379975), 844 ^ _350357 : [(845 ^ _350357) ^ [_380174] : [in(_380174, _379973), 850 ^ _350357 : [(851 ^ _350357) ^ [] : [-(in(848 ^ [_379973, _379975, _379977, _380174], _379977))], (853 ^ _350357) ^ [] : [-(in(849 ^ [_379973, _379975, _379977, _380174], _379975))], (855 ^ _350357) ^ [] : [-(_380174 = ordered_pair(848 ^ [_379973, _379975, _379977, _380174], 849 ^ [_379973, _379975, _379977, _380174]))]]], (857 ^ _350357) ^ [_380734] : [-(in(_380734, _379973)), 858 ^ _350357 : [(859 ^ _350357) ^ [_380864, _380866] : [in(_380866, _379977), in(_380864, _379975), _380734 = ordered_pair(_380866, _380864)]]]]], (900 ^ _350357) ^ [_382464] : [relation(_382464), 903 ^ _350357 : [(904 ^ _350357) ^ [_382622] : [relation(_382622), 907 ^ _350357 : [(918 ^ _350357) ^ [] : [921 ^ _350357 : [(922 ^ _350357) ^ [] : [-(in(ordered_pair(919 ^ [_382464, _382622], 920 ^ [_382464, _382622]), _382464))], (924 ^ _350357) ^ [] : [in(ordered_pair(919 ^ [_382464, _382622], 920 ^ [_382464, _382622]), _382622)]], -(subset(_382464, _382622))], (908 ^ _350357) ^ [] : [subset(_382464, _382622), 911 ^ _350357 : [(912 ^ _350357) ^ [_382898, _382900] : [in(ordered_pair(_382900, _382898), _382464), -(in(ordered_pair(_382900, _382898), _382622))]]]]]]], (938 ^ _350357) ^ [_383861, _383863] : [940 ^ _350357 : [(941 ^ _350357) ^ [] : [-(in(939 ^ [_383861, _383863], _383863))], (943 ^ _350357) ^ [] : [in(939 ^ [_383861, _383863], _383861)]], -(subset(_383863, _383861))], (928 ^ _350357) ^ [_383547, _383549] : [subset(_383549, _383547), 931 ^ _350357 : [(932 ^ _350357) ^ [_383684] : [in(_383684, _383549), -(in(_383684, _383547))]]], (969 ^ _350357) ^ [_384986, _384988, _384990] : [-(_384986 = set_intersection2(_384990, _384988)), 981 ^ _350357 : [(982 ^ _350357) ^ [] : [-(in(970 ^ [_384986, _384988, _384990], _384990))], (984 ^ _350357) ^ [] : [-(in(970 ^ [_384986, _384988, _384990], _384988))], (986 ^ _350357) ^ [] : [in(970 ^ [_384986, _384988, _384990], _384986)]], 973 ^ _350357 : [(974 ^ _350357) ^ [] : [-(in(970 ^ [_384986, _384988, _384990], _384986))], (976 ^ _350357) ^ [] : [in(970 ^ [_384986, _384988, _384990], _384990), in(970 ^ [_384986, _384988, _384990], _384988)]]], (947 ^ _350357) ^ [_384261, _384263, _384265] : [_384261 = set_intersection2(_384265, _384263), 950 ^ _350357 : [(951 ^ _350357) ^ [_384443] : [in(_384443, _384261), 954 ^ _350357 : [(955 ^ _350357) ^ [] : [-(in(_384443, _384265))], (957 ^ _350357) ^ [] : [-(in(_384443, _384263))]]], (959 ^ _350357) ^ [_384702] : [-(in(_384702, _384261)), in(_384702, _384265), in(_384702, _384263)]]], (990 ^ _350357) ^ [_385725] : [relation(_385725), 993 ^ _350357 : [(1011 ^ _350357) ^ [_386537] : [-(_386537 = relation_dom(_385725)), 1015 ^ _350357 : [(1016 ^ _350357) ^ [] : [-(in(1012 ^ [_385725, _386537], _386537))], (1018 ^ _350357) ^ [_386800] : [in(ordered_pair(1012 ^ [_385725, _386537], _386800), _385725)]], 1020 ^ _350357 : [(1021 ^ _350357) ^ [] : [-(in(ordered_pair(1012 ^ [_385725, _386537], 1019 ^ [_385725, _386537]), _385725))], (1023 ^ _350357) ^ [] : [in(1012 ^ [_385725, _386537], _386537)]]], (994 ^ _350357) ^ [_385906] : [_385906 = relation_dom(_385725), 997 ^ _350357 : [(998 ^ _350357) ^ [_386086] : [in(_386086, _385906), -(in(ordered_pair(_386086, 1001 ^ [_385725, _385906, _386086]), _385725))], (1005 ^ _350357) ^ [_386330] : [1006 ^ _350357 : [(1007 ^ _350357) ^ [_386409] : [in(ordered_pair(_386330, _386409), _385725)]], -(in(_386330, _385906))]]]]], (1027 ^ _350357) ^ [_387151] : [-(cast_to_subset(_387151) = _387151)], (1052 ^ _350357) ^ [_388134, _388136] : [-(_388134 = union(_388136)), 1065 ^ _350357 : [(1066 ^ _350357) ^ [] : [-(in(1053 ^ [_388134, _388136], 1064 ^ [_388134, _388136]))], (1068 ^ _350357) ^ [] : [-(in(1064 ^ [_388134, _388136], _388136))], (1070 ^ _350357) ^ [] : [in(1053 ^ [_388134, _388136], _388134)]], 1056 ^ _350357 : [(1057 ^ _350357) ^ [] : [-(in(1053 ^ [_388134, _388136], _388134))], (1059 ^ _350357) ^ [_388417] : [in(1053 ^ [_388134, _388136], _388417), in(_388417, _388136)]]], (1029 ^ _350357) ^ [_387289, _387291] : [_387289 = union(_387291), 1032 ^ _350357 : [(1033 ^ _350357) ^ [_387470] : [in(_387470, _387289), 1037 ^ _350357 : [(1038 ^ _350357) ^ [] : [-(in(_387470, 1036 ^ [_387289, _387291, _387470]))], (1040 ^ _350357) ^ [] : [-(in(1036 ^ [_387289, _387291, _387470], _387291))]]], (1042 ^ _350357) ^ [_387797] : [-(in(_387797, _387289)), 1043 ^ _350357 : [(1044 ^ _350357) ^ [_387895] : [in(_387797, _387895), in(_387895, _387291)]]]]], (1096 ^ _350357) ^ [_389755, _389757, _389759] : [-(_389755 = set_difference(_389759, _389757)), 1108 ^ _350357 : [(1109 ^ _350357) ^ [] : [-(in(1097 ^ [_389755, _389757, _389759], _389759))], (1111 ^ _350357) ^ [] : [in(1097 ^ [_389755, _389757, _389759], _389757)], (1113 ^ _350357) ^ [] : [in(1097 ^ [_389755, _389757, _389759], _389755)]], 1100 ^ _350357 : [(1101 ^ _350357) ^ [] : [-(in(1097 ^ [_389755, _389757, _389759], _389755))], (1103 ^ _350357) ^ [] : [in(1097 ^ [_389755, _389757, _389759], _389759), -(in(1097 ^ [_389755, _389757, _389759], _389757))]]], (1074 ^ _350357) ^ [_389024, _389026, _389028] : [_389024 = set_difference(_389028, _389026), 1077 ^ _350357 : [(1078 ^ _350357) ^ [_389208] : [in(_389208, _389024), 1081 ^ _350357 : [(1082 ^ _350357) ^ [] : [-(in(_389208, _389028))], (1084 ^ _350357) ^ [] : [in(_389208, _389026)]]], (1086 ^ _350357) ^ [_389468] : [-(in(_389468, _389024)), in(_389468, _389028), -(in(_389468, _389026))]]], (1117 ^ _350357) ^ [_390498] : [relation(_390498), 1120 ^ _350357 : [(1138 ^ _350357) ^ [_391310] : [-(_391310 = relation_rng(_390498)), 1142 ^ _350357 : [(1143 ^ _350357) ^ [] : [-(in(1139 ^ [_390498, _391310], _391310))], (1145 ^ _350357) ^ [_391573] : [in(ordered_pair(_391573, 1139 ^ [_390498, _391310]), _390498)]], 1147 ^ _350357 : [(1148 ^ _350357) ^ [] : [-(in(ordered_pair(1146 ^ [_390498, _391310], 1139 ^ [_390498, _391310]), _390498))], (1150 ^ _350357) ^ [] : [in(1139 ^ [_390498, _391310], _391310)]]], (1121 ^ _350357) ^ [_390679] : [_390679 = relation_rng(_390498), 1124 ^ _350357 : [(1125 ^ _350357) ^ [_390859] : [in(_390859, _390679), -(in(ordered_pair(1128 ^ [_390498, _390679, _390859], _390859), _390498))], (1132 ^ _350357) ^ [_391103] : [1133 ^ _350357 : [(1134 ^ _350357) ^ [_391182] : [in(ordered_pair(_391182, _391103), _390498)]], -(in(_391103, _390679))]]]]], (1154 ^ _350357) ^ [_391953, _391955] : [element(_391953, powerset(_391955)), -(subset_complement(_391955, _391953) = set_difference(_391955, _391953))], (1160 ^ _350357) ^ [_392164, _392166] : [-(ordered_pair(_392166, _392164) = unordered_pair(unordered_pair(_392166, _392164), singleton(_392166)))], (1162 ^ _350357) ^ [_392270] : [relation(_392270), -(relation_field(_392270) = set_union2(relation_dom(_392270), relation_rng(_392270)))], (1168 ^ _350357) ^ [_392476] : [relation(_392476), 1171 ^ _350357 : [(1172 ^ _350357) ^ [_392636] : [relation(_392636), 1175 ^ _350357 : [(1192 ^ _350357) ^ [] : [-(_392636 = relation_inverse(_392476)), 1197 ^ _350357 : [(1198 ^ _350357) ^ [] : [-(in(ordered_pair(1193 ^ [_392476, _392636], 1194 ^ [_392476, _392636]), _392636))], (1200 ^ _350357) ^ [] : [in(ordered_pair(1194 ^ [_392476, _392636], 1193 ^ [_392476, _392636]), _392476)]], 1201 ^ _350357 : [(1202 ^ _350357) ^ [] : [-(in(ordered_pair(1194 ^ [_392476, _392636], 1193 ^ [_392476, _392636]), _392476))], (1204 ^ _350357) ^ [] : [in(ordered_pair(1193 ^ [_392476, _392636], 1194 ^ [_392476, _392636]), _392636)]]], (1176 ^ _350357) ^ [] : [_392636 = relation_inverse(_392476), 1179 ^ _350357 : [(1180 ^ _350357) ^ [_392945, _392947] : [in(ordered_pair(_392947, _392945), _392636), -(in(ordered_pair(_392945, _392947), _392476))], (1186 ^ _350357) ^ [_393135, _393137] : [in(ordered_pair(_393135, _393137), _392476), -(in(ordered_pair(_393137, _393135), _392636))]]]]]]], (1208 ^ _350357) ^ [_393983, _393985] : [disjoint(_393985, _393983), -(set_intersection2(_393985, _393983) = empty_set)], (1214 ^ _350357) ^ [_394151, _394153] : [set_intersection2(_394153, _394151) = empty_set, -(disjoint(_394153, _394151))], (1220 ^ _350357) ^ [_394355] : [relation(_394355), 1223 ^ _350357 : [(1224 ^ _350357) ^ [_394540] : [relation(_394540), 1227 ^ _350357 : [(1228 ^ _350357) ^ [_394721] : [relation(_394721), 1231 ^ _350357 : [(1255 ^ _350357) ^ [] : [-(_394721 = relation_composition(_394355, _394540)), 1269 ^ _350357 : [(1270 ^ _350357) ^ [] : [-(in(ordered_pair(1256 ^ [_394355, _394540, _394721], 1268 ^ [_394355, _394540, _394721]), _394355))], (1272 ^ _350357) ^ [] : [-(in(ordered_pair(1268 ^ [_394355, _394540, _394721], 1257 ^ [_394355, _394540, _394721]), _394540))], (1274 ^ _350357) ^ [] : [in(ordered_pair(1256 ^ [_394355, _394540, _394721], 1257 ^ [_394355, _394540, _394721]), _394721)]], 1260 ^ _350357 : [(1261 ^ _350357) ^ [] : [-(in(ordered_pair(1256 ^ [_394355, _394540, _394721], 1257 ^ [_394355, _394540, _394721]), _394721))], (1263 ^ _350357) ^ [_396185] : [in(ordered_pair(1256 ^ [_394355, _394540, _394721], _396185), _394355), in(ordered_pair(_396185, 1257 ^ [_394355, _394540, _394721]), _394540)]]], (1232 ^ _350357) ^ [] : [_394721 = relation_composition(_394355, _394540), 1235 ^ _350357 : [(1236 ^ _350357) ^ [_395056, _395058] : [in(ordered_pair(_395058, _395056), _394721), 1240 ^ _350357 : [(1241 ^ _350357) ^ [] : [-(in(ordered_pair(_395058, 1239 ^ [_394355, _394540, _394721, _395056, _395058]), _394355))], (1243 ^ _350357) ^ [] : [-(in(ordered_pair(1239 ^ [_394355, _394540, _394721, _395056, _395058], _395056), _394540))]]], (1245 ^ _350357) ^ [_395441, _395443] : [-(in(ordered_pair(_395443, _395441), _394721)), 1246 ^ _350357 : [(1247 ^ _350357) ^ [_395554] : [in(ordered_pair(_395443, _395554), _394355), in(ordered_pair(_395554, _395441), _394540)]]]]]]]]]]], (1278 ^ _350357) ^ [_396871, _396873] : [element(_396871, powerset(powerset(_396873))), 1281 ^ _350357 : [(1282 ^ _350357) ^ [_397051] : [element(_397051, powerset(powerset(_396873))), 1285 ^ _350357 : [(1306 ^ _350357) ^ [] : [-(_397051 = complements_of_subsets(_396873, _396871)), 1308 ^ _350357 : [(1309 ^ _350357) ^ [] : [-(element(1307 ^ [_396871, _396873, _397051], powerset(_396873)))], (1311 ^ _350357) ^ [] : [1312 ^ _350357 : [(1313 ^ _350357) ^ [] : [-(in(1307 ^ [_396871, _396873, _397051], _397051))], (1315 ^ _350357) ^ [] : [in(subset_complement(_396873, 1307 ^ [_396871, _396873, _397051]), _396871)]], 1316 ^ _350357 : [(1317 ^ _350357) ^ [] : [-(in(subset_complement(_396873, 1307 ^ [_396871, _396873, _397051]), _396871))], (1319 ^ _350357) ^ [] : [in(1307 ^ [_396871, _396873, _397051], _397051)]]]]], (1286 ^ _350357) ^ [] : [_397051 = complements_of_subsets(_396873, _396871), 1289 ^ _350357 : [(1290 ^ _350357) ^ [_397339] : [element(_397339, powerset(_396873)), 1293 ^ _350357 : [(1294 ^ _350357) ^ [] : [in(_397339, _397051), -(in(subset_complement(_396873, _397339), _396871))], (1300 ^ _350357) ^ [] : [in(subset_complement(_396873, _397339), _396871), -(in(_397339, _397051))]]]]]]]]], (1323 ^ _350357) ^ [_398462, _398464] : [proper_subset(_398464, _398462), 1326 ^ _350357 : [(1327 ^ _350357) ^ [] : [-(subset(_398464, _398462))], (1329 ^ _350357) ^ [] : [_398464 = _398462]]], (1331 ^ _350357) ^ [_398700, _398702] : [-(proper_subset(_398702, _398700)), subset(_398702, _398700), -(_398702 = _398700)], (1341 ^ _350357) ^ [] : [true___, -(true___)], (1347 ^ _350357) ^ [] : [true___, -(true___)], (1353 ^ _350357) ^ [] : [true___, -(true___)], (1359 ^ _350357) ^ [] : [true___, -(true___)], (1365 ^ _350357) ^ [] : [true___, -(true___)], (1371 ^ _350357) ^ [] : [true___, -(true___)], (1377 ^ _350357) ^ [_399689] : [-(element(cast_to_subset(_399689), powerset(_399689)))], (1379 ^ _350357) ^ [] : [true___, -(true___)], (1385 ^ _350357) ^ [] : [true___, -(true___)], (1391 ^ _350357) ^ [] : [true___, -(true___)], (1397 ^ _350357) ^ [] : [true___, -(true___)], (1403 ^ _350357) ^ [_400276, _400278] : [element(_400276, powerset(_400278)), -(element(subset_complement(_400278, _400276), powerset(_400278)))], (1409 ^ _350357) ^ [] : [true___, -(true___)], (1415 ^ _350357) ^ [] : [true___, -(true___)], (1421 ^ _350357) ^ [_400724] : [relation(_400724), -(relation(relation_inverse(_400724)))], (1427 ^ _350357) ^ [] : [true___, -(true___)], (1433 ^ _350357) ^ [] : [true___, -(true___)], (1439 ^ _350357) ^ [_401166, _401168] : [-(relation(relation_composition(_401168, _401166))), relation(_401168), relation(_401166)], (1449 ^ _350357) ^ [_401465, _401467] : [element(_401465, powerset(powerset(_401467))), -(element(union_of_subsets(_401467, _401465), powerset(_401467)))], (1455 ^ _350357) ^ [_401664] : [-(relation(identity_relation(_401664)))], (1457 ^ _350357) ^ [_401772, _401774] : [element(_401772, powerset(powerset(_401774))), -(element(meet_of_subsets(_401774, _401772), powerset(_401774)))], (1463 ^ _350357) ^ [_402014, _402016, _402018] : [-(element(subset_difference(_402018, _402016, _402014), powerset(_402018))), element(_402016, powerset(_402018)), element(_402014, powerset(_402018))], (1473 ^ _350357) ^ [_402343, _402345] : [relation(_402345), -(relation(relation_dom_restriction(_402345, _402343)))], (1479 ^ _350357) ^ [_402555, _402557] : [element(_402555, powerset(powerset(_402557))), -(element(complements_of_subsets(_402557, _402555), powerset(powerset(_402557))))], (1485 ^ _350357) ^ [_402787, _402789] : [relation(_402787), -(relation(relation_rng_restriction(_402789, _402787)))], (1491 ^ _350357) ^ [] : [true___, -(true___)], (1498 ^ _350357) ^ [_403128] : [-(element(1496 ^ [_403128], _403128))], (1500 ^ _350357) ^ [_403240, _403242] : [1507 ^ _350357 : [(1508 ^ _350357) ^ [] : [-(empty(relation_composition(_403240, _403242)))], (1510 ^ _350357) ^ [] : [-(relation(relation_composition(_403240, _403242)))]], empty(_403242), relation(_403240)], (1512 ^ _350357) ^ [_403618, _403620] : [-(relation(set_intersection2(_403620, _403618))), relation(_403620), relation(_403618)], (1522 ^ _350357) ^ [_403887] : [empty(powerset(_403887))], (1524 ^ _350357) ^ [] : [-(empty(empty_set))], (1526 ^ _350357) ^ [_404032, _404034] : [empty(ordered_pair(_404034, _404032))], (1528 ^ _350357) ^ [_404143, _404145] : [-(relation(set_union2(_404145, _404143))), relation(_404145), relation(_404143)], (1538 ^ _350357) ^ [_404412] : [empty(singleton(_404412))], (1540 ^ _350357) ^ [_404520, _404522] : [-(empty(_404522)), empty(set_union2(_404522, _404520))], (1546 ^ _350357) ^ [_404720, _404722] : [empty(unordered_pair(_404722, _404720))], (1548 ^ _350357) ^ [_404831, _404833] : [-(empty(_404833)), empty(set_union2(_404831, _404833))], (1554 ^ _350357) ^ [] : [-(empty(empty_set))], (1556 ^ _350357) ^ [] : [-(relation(empty_set))], (1558 ^ _350357) ^ [_405155, _405157] : [empty(cartesian_product2(_405157, _405155)), -(empty(_405157)), -(empty(_405155))], (1568 ^ _350357) ^ [_405447] : [empty(relation_dom(_405447)), -(empty(_405447)), relation(_405447)], (1578 ^ _350357) ^ [_405724] : [empty(relation_rng(_405724)), -(empty(_405724)), relation(_405724)], (1588 ^ _350357) ^ [_406001] : [empty(_406001), 1591 ^ _350357 : [(1592 ^ _350357) ^ [] : [-(empty(relation_dom(_406001)))], (1594 ^ _350357) ^ [] : [-(relation(relation_dom(_406001)))]]], (1596 ^ _350357) ^ [_406266] : [empty(_406266), 1599 ^ _350357 : [(1600 ^ _350357) ^ [] : [-(empty(relation_rng(_406266)))], (1602 ^ _350357) ^ [] : [-(relation(relation_rng(_406266)))]]], (1604 ^ _350357) ^ [_406545, _406547] : [1611 ^ _350357 : [(1612 ^ _350357) ^ [] : [-(empty(relation_composition(_406547, _406545)))], (1614 ^ _350357) ^ [] : [-(relation(relation_composition(_406547, _406545)))]], empty(_406547), relation(_406545)], (1616 ^ _350357) ^ [_406908, _406910] : [-(set_union2(_406910, _406910) = _406910)], (1618 ^ _350357) ^ [_407005, _407007] : [-(set_intersection2(_407007, _407007) = _407007)], (1620 ^ _350357) ^ [_407117, _407119] : [element(_407117, powerset(_407119)), -(subset_complement(_407119, subset_complement(_407119, _407117)) = _407117)], (1626 ^ _350357) ^ [_407329] : [relation(_407329), -(relation_inverse(relation_inverse(_407329)) = _407329)], (1632 ^ _350357) ^ [_407539, _407541] : [element(_407539, powerset(powerset(_407541))), -(complements_of_subsets(_407541, complements_of_subsets(_407541, _407539)) = _407539)], (1638 ^ _350357) ^ [_407753, _407755] : [proper_subset(_407755, _407755)], (1640 ^ _350357) ^ [_407832] : [singleton(_407832) = empty_set], (1642 ^ _350357) ^ [_407941, _407943] : [in(_407943, _407941), -(set_union2(singleton(_407943), _407941) = _407941)], (1648 ^ _350357) ^ [_408161, _408163] : [disjoint(singleton(_408163), _408161), in(_408163, _408161)], (1654 ^ _350357) ^ [_408374, _408376] : [-(in(_408376, _408374)), -(disjoint(singleton(_408376), _408374))], (1660 ^ _350357) ^ [_408620, _408622] : [subset(singleton(_408622), _408620), -(in(_408622, _408620))], (1666 ^ _350357) ^ [_408786, _408788] : [in(_408788, _408786), -(subset(singleton(_408788), _408786))], (1672 ^ _350357) ^ [_409031, _409033] : [set_difference(_409033, _409031) = empty_set, -(subset(_409033, _409031))], (1678 ^ _350357) ^ [_409199, _409201] : [subset(_409201, _409199), -(set_difference(_409201, _409199) = empty_set)], (1684 ^ _350357) ^ [_409417, _409419] : [element(_409417, powerset(_409419)), 1687 ^ _350357 : [(1688 ^ _350357) ^ [_409558] : [in(_409558, _409417), -(in(_409558, _409419))]]], (1694 ^ _350357) ^ [_409797, _409799, _409801] : [subset(_409801, _409799), -(in(_409797, _409801)), -(subset(_409801, set_difference(_409799, singleton(_409797))))], (1714 ^ _350357) ^ [_410406, _410408] : [1715 ^ _350357 : [(1716 ^ _350357) ^ [] : [_410408 = empty_set], (1718 ^ _350357) ^ [] : [_410408 = singleton(_410406)]], -(subset(_410408, singleton(_410406)))], (1704 ^ _350357) ^ [_410146, _410148] : [subset(_410148, singleton(_410146)), -(_410148 = empty_set), -(_410148 = singleton(_410146))], (1722 ^ _350357) ^ [_410700, _410702] : [in(_410702, _410700), -(subset(_410702, union(_410700)))], (1728 ^ _350357) ^ [_410971, _410973, _410975, _410977] : [in(ordered_pair(_410977, _410975), cartesian_product2(_410973, _410971)), 1731 ^ _350357 : [(1732 ^ _350357) ^ [] : [-(in(_410977, _410973))], (1734 ^ _350357) ^ [] : [-(in(_410975, _410971))]]], (1736 ^ _350357) ^ [_411236, _411238, _411240, _411242] : [-(in(ordered_pair(_411242, _411240), cartesian_product2(_411238, _411236))), in(_411242, _411238), in(_411240, _411236)], (1746 ^ _350357) ^ [_411569, _411571] : [1748 ^ _350357 : [(1749 ^ _350357) ^ [] : [-(in(1747 ^ [_411569, _411571], _411571))], (1751 ^ _350357) ^ [] : [in(1747 ^ [_411569, _411571], _411569)]], -(element(_411571, powerset(_411569)))], (1756 ^ _350357) ^ [] : [-(empty(1754 ^ []))], (1758 ^ _350357) ^ [] : [-(relation(1754 ^ []))], (1760 ^ _350357) ^ [_412063] : [-(empty(_412063)), 1764 ^ _350357 : [(1765 ^ _350357) ^ [] : [-(element(1763 ^ [_412063], powerset(_412063)))], (1767 ^ _350357) ^ [] : [empty(1763 ^ [_412063])]]], (1770 ^ _350357) ^ [] : [-(empty(1768 ^ []))], (1773 ^ _350357) ^ [] : [empty(1771 ^ [])], (1775 ^ _350357) ^ [] : [-(relation(1771 ^ []))], (1778 ^ _350357) ^ [_412685] : [-(element(1776 ^ [_412685], powerset(_412685)))], (1780 ^ _350357) ^ [_412736] : [-(empty(1776 ^ [_412736]))], (1783 ^ _350357) ^ [] : [empty(1781 ^ [])], (1785 ^ _350357) ^ [_412939, _412941] : [element(_412939, powerset(powerset(_412941))), -(union_of_subsets(_412941, _412939) = union(_412939))], (1791 ^ _350357) ^ [_413167, _413169] : [element(_413167, powerset(powerset(_413169))), -(meet_of_subsets(_413169, _413167) = set_meet(_413167))], (1797 ^ _350357) ^ [_413409, _413411, _413413] : [-(subset_difference(_413413, _413411, _413409) = set_difference(_413411, _413409)), element(_413411, powerset(_413413)), element(_413409, powerset(_413413))], (1807 ^ _350357) ^ [_413725, _413727] : [-(subset(_413727, _413727))], (1809 ^ _350357) ^ [_413834, _413836] : [disjoint(_413836, _413834), -(disjoint(_413834, _413836))], (1815 ^ _350357) ^ [_414101, _414103, _414105, _414107] : [in(ordered_pair(_414107, _414105), cartesian_product2(_414103, _414101)), 1818 ^ _350357 : [(1819 ^ _350357) ^ [] : [-(in(_414107, _414103))], (1821 ^ _350357) ^ [] : [-(in(_414105, _414101))]]], (1823 ^ _350357) ^ [_414366, _414368, _414370, _414372] : [-(in(ordered_pair(_414372, _414370), cartesian_product2(_414368, _414366))), in(_414372, _414368), in(_414370, _414366)], (1833 ^ _350357) ^ [_414727, _414729, _414731, _414733] : [unordered_pair(_414733, _414731) = unordered_pair(_414729, _414727), -(_414733 = _414729), -(_414733 = _414727)], (1843 ^ _350357) ^ [_415077, _415079, _415081] : [relation(_415077), 1846 ^ _350357 : [(1847 ^ _350357) ^ [] : [in(_415081, relation_rng(relation_rng_restriction(_415079, _415077))), 1850 ^ _350357 : [(1851 ^ _350357) ^ [] : [-(in(_415081, _415079))], (1853 ^ _350357) ^ [] : [-(in(_415081, relation_rng(_415077)))]]], (1855 ^ _350357) ^ [] : [-(in(_415081, relation_rng(relation_rng_restriction(_415079, _415077)))), in(_415081, _415079), in(_415081, relation_rng(_415077))]]], (1865 ^ _350357) ^ [_415736, _415738] : [relation(_415736), -(subset(relation_rng(relation_rng_restriction(_415738, _415736)), _415738))], (1871 ^ _350357) ^ [_415954, _415956] : [relation(_415954), -(subset(relation_rng_restriction(_415956, _415954), _415954))], (1877 ^ _350357) ^ [_416182, _416184, _416186] : [subset(_416186, _416184), 1880 ^ _350357 : [(1881 ^ _350357) ^ [] : [-(subset(cartesian_product2(_416186, _416182), cartesian_product2(_416184, _416182)))], (1883 ^ _350357) ^ [] : [-(subset(cartesian_product2(_416182, _416186), cartesian_product2(_416182, _416184)))]]], (1885 ^ _350357) ^ [_416527, _416529, _416531, _416533] : [-(subset(cartesian_product2(_416533, _416529), cartesian_product2(_416531, _416527))), subset(_416533, _416531), subset(_416529, _416527)], (1895 ^ _350357) ^ [_416858, _416860] : [subset(_416860, _416858), -(set_union2(_416860, _416858) = _416858)], (1902 ^ _350357) ^ [_417180] : [-(in(_417180, 1900 ^ [_417180]))], (1904 ^ _350357) ^ [_417292, _417294, _417296] : [-(in(_417292, 1900 ^ [_417296])), in(_417294, 1900 ^ [_417296]), subset(_417292, _417294)], (1914 ^ _350357) ^ [_417607, _417609] : [in(_417607, 1900 ^ [_417609]), -(in(powerset(_417607), 1900 ^ [_417609]))], (1920 ^ _350357) ^ [_417807, _417809] : [subset(_417807, 1900 ^ [_417809]), -(are_equipotent(_417807, 1900 ^ [_417809])), -(in(_417807, 1900 ^ [_417809]))], (1930 ^ _350357) ^ [_418132, _418134] : [-(subset(set_intersection2(_418134, _418132), _418134))], (1932 ^ _350357) ^ [_418258, _418260, _418262] : [-(subset(_418262, set_intersection2(_418260, _418258))), subset(_418262, _418260), subset(_418262, _418258)], (1942 ^ _350357) ^ [_418544] : [-(set_union2(_418544, empty_set) = _418544)], (1944 ^ _350357) ^ [_418654, _418656] : [in(_418656, _418654), -(element(_418656, _418654))], (1950 ^ _350357) ^ [_418878, _418880, _418882] : [-(subset(_418882, _418878)), subset(_418882, _418880), subset(_418880, _418878)], (1960 ^ _350357) ^ [] : [-(powerset(empty_set) = singleton(empty_set))], (1962 ^ _350357) ^ [_419254, _419256, _419258] : [relation(_419254), in(ordered_pair(_419258, _419256), _419254), 1969 ^ _350357 : [(1970 ^ _350357) ^ [] : [-(in(_419258, relation_dom(_419254)))], (1972 ^ _350357) ^ [] : [-(in(_419256, relation_rng(_419254)))]]], (1974 ^ _350357) ^ [_419638] : [relation(_419638), -(subset(_419638, cartesian_product2(relation_dom(_419638), relation_rng(_419638))))], (1980 ^ _350357) ^ [_419840] : [relation(_419840), 1983 ^ _350357 : [(1984 ^ _350357) ^ [_419990] : [relation(_419990), subset(_419840, _419990), 1991 ^ _350357 : [(1992 ^ _350357) ^ [] : [-(subset(relation_dom(_419840), relation_dom(_419990)))], (1994 ^ _350357) ^ [] : [-(subset(relation_rng(_419840), relation_rng(_419990)))]]]]], (1996 ^ _350357) ^ [_420399, _420401, _420403] : [subset(_420403, _420401), -(subset(set_intersection2(_420403, _420399), set_intersection2(_420401, _420399)))], (2002 ^ _350357) ^ [_420627, _420629] : [subset(_420629, _420627), -(set_intersection2(_420629, _420627) = _420629)], (2008 ^ _350357) ^ [_420814] : [-(set_intersection2(_420814, empty_set) = empty_set)], (2010 ^ _350357) ^ [_420924, _420926] : [element(_420926, _420924), -(empty(_420924)), -(in(_420926, _420924))], (2020 ^ _350357) ^ [_421222, _421224] : [-(_421224 = _421222), 2024 ^ _350357 : [(2025 ^ _350357) ^ [] : [-(in(2021 ^ [_421222, _421224], _421224))], (2027 ^ _350357) ^ [] : [in(2021 ^ [_421222, _421224], _421222)]], 2028 ^ _350357 : [(2029 ^ _350357) ^ [] : [-(in(2021 ^ [_421222, _421224], _421222))], (2031 ^ _350357) ^ [] : [in(2021 ^ [_421222, _421224], _421224)]]], (2035 ^ _350357) ^ [_421723] : [-(subset(empty_set, _421723))], (2037 ^ _350357) ^ [_421844, _421846, _421848] : [relation(_421844), in(ordered_pair(_421848, _421846), _421844), 2044 ^ _350357 : [(2045 ^ _350357) ^ [] : [-(in(_421848, relation_field(_421844)))], (2047 ^ _350357) ^ [] : [-(in(_421846, relation_field(_421844)))]]], (2049 ^ _350357) ^ [_422256, _422258, _422260] : [subset(_422260, _422258), -(subset(set_difference(_422260, _422256), set_difference(_422258, _422256)))], (2055 ^ _350357) ^ [_422512, _422514, _422516, _422518] : [ordered_pair(_422518, _422516) = ordered_pair(_422514, _422512), 2058 ^ _350357 : [(2059 ^ _350357) ^ [] : [-(_422518 = _422514)], (2061 ^ _350357) ^ [] : [-(_422516 = _422512)]]], (2063 ^ _350357) ^ [_422810, _422812] : [-(subset(set_difference(_422812, _422810), _422812))], (2065 ^ _350357) ^ [_422908] : [relation(_422908), 2068 ^ _350357 : [(2069 ^ _350357) ^ [] : [-(relation_rng(_422908) = relation_dom(relation_inverse(_422908)))], (2071 ^ _350357) ^ [] : [-(relation_dom(_422908) = relation_rng(relation_inverse(_422908)))]]], (2073 ^ _350357) ^ [_423236, _423238] : [set_difference(_423238, _423236) = empty_set, -(subset(_423238, _423236))], (2079 ^ _350357) ^ [_423404, _423406] : [subset(_423406, _423404), -(set_difference(_423406, _423404) = empty_set)], (2085 ^ _350357) ^ [_423651, _423653] : [subset(singleton(_423653), _423651), -(in(_423653, _423651))], (2091 ^ _350357) ^ [_423817, _423819] : [in(_423819, _423817), -(subset(singleton(_423819), _423817))], (2097 ^ _350357) ^ [_424076, _424078, _424080] : [subset(unordered_pair(_424080, _424078), _424076), 2100 ^ _350357 : [(2101 ^ _350357) ^ [] : [-(in(_424080, _424076))], (2103 ^ _350357) ^ [] : [-(in(_424078, _424076))]]], (2105 ^ _350357) ^ [_424327, _424329, _424331] : [-(subset(unordered_pair(_424331, _424329), _424327)), in(_424331, _424327), in(_424329, _424327)], (2115 ^ _350357) ^ [_424629, _424631] : [-(set_union2(_424631, set_difference(_424629, _424631)) = set_union2(_424631, _424629))], (2127 ^ _350357) ^ [_425036, _425038] : [2128 ^ _350357 : [(2129 ^ _350357) ^ [] : [_425038 = empty_set], (2131 ^ _350357) ^ [] : [_425038 = singleton(_425036)]], -(subset(_425038, singleton(_425036)))], (2117 ^ _350357) ^ [_424776, _424778] : [subset(_424778, singleton(_424776)), -(_424778 = empty_set), -(_424778 = singleton(_424776))], (2135 ^ _350357) ^ [_425301] : [-(set_difference(_425301, empty_set) = _425301)], (2137 ^ _350357) ^ [_425440, _425442] : [element(_425442, powerset(_425440)), -(subset(_425442, _425440))], (2143 ^ _350357) ^ [_425606, _425608] : [subset(_425608, _425606), -(element(_425608, powerset(_425606)))], (2149 ^ _350357) ^ [_425842, _425844] : [-(disjoint(_425844, _425842)), 2153 ^ _350357 : [(2154 ^ _350357) ^ [] : [-(in(2152 ^ [_425842, _425844], _425844))], (2156 ^ _350357) ^ [] : [-(in(2152 ^ [_425842, _425844], _425842))]]], (2158 ^ _350357) ^ [_426156, _426158] : [disjoint(_426158, _426156), 2159 ^ _350357 : [(2160 ^ _350357) ^ [_426248] : [in(_426248, _426158), in(_426248, _426156)]]], (2168 ^ _350357) ^ [_426505] : [subset(_426505, empty_set), -(_426505 = empty_set)], (2174 ^ _350357) ^ [_426694, _426696] : [-(set_difference(set_union2(_426696, _426694), _426694) = set_difference(_426696, _426694))], (2176 ^ _350357) ^ [_426812, _426814] : [element(_426812, powerset(_426814)), 2179 ^ _350357 : [(2180 ^ _350357) ^ [_426964] : [element(_426964, powerset(_426814)), 2183 ^ _350357 : [(2184 ^ _350357) ^ [] : [disjoint(_426812, _426964), -(subset(_426812, subset_complement(_426814, _426964)))], (2190 ^ _350357) ^ [] : [subset(_426812, subset_complement(_426814, _426964)), -(disjoint(_426812, _426964))]]]]], (2196 ^ _350357) ^ [_427448] : [relation(_427448), 2199 ^ _350357 : [(2200 ^ _350357) ^ [_427585] : [relation(_427585), -(subset(relation_dom(relation_composition(_427448, _427585)), relation_dom(_427448)))]]], (2206 ^ _350357) ^ [_427800] : [relation(_427800), 2209 ^ _350357 : [(2210 ^ _350357) ^ [_427937] : [relation(_427937), -(subset(relation_rng(relation_composition(_427800, _427937)), relation_rng(_427937)))]]], (2216 ^ _350357) ^ [_428166, _428168] : [subset(_428168, _428166), -(_428166 = set_union2(_428168, set_difference(_428166, _428168)))], (2222 ^ _350357) ^ [_428374] : [relation(_428374), 2225 ^ _350357 : [(2226 ^ _350357) ^ [_428521] : [relation(_428521), subset(relation_rng(_428374), relation_dom(_428521)), -(relation_dom(relation_composition(_428374, _428521)) = relation_dom(_428374))]]], (2236 ^ _350357) ^ [_428847, _428849] : [element(_428847, powerset(powerset(_428849))), -(_428847 = empty_set), complements_of_subsets(_428849, _428847) = empty_set], (2246 ^ _350357) ^ [_429164, _429166] : [in(_429166, _429164), -(set_union2(singleton(_429166), _429164) = _429164)], (2252 ^ _350357) ^ [_429370] : [relation(_429370), 2255 ^ _350357 : [(2256 ^ _350357) ^ [_429517] : [relation(_429517), subset(relation_dom(_429370), relation_rng(_429517)), -(relation_rng(relation_composition(_429517, _429370)) = relation_rng(_429370))]]], (2266 ^ _350357) ^ [_429843, _429845] : [element(_429843, powerset(powerset(_429845))), -(_429843 = empty_set), -(subset_difference(_429845, cast_to_subset(_429845), union_of_subsets(_429845, _429843)) = meet_of_subsets(_429845, complements_of_subsets(_429845, _429843)))], (2276 ^ _350357) ^ [_430183, _430185] : [element(_430183, powerset(powerset(_430185))), -(_430183 = empty_set), -(union_of_subsets(_430185, complements_of_subsets(_430185, _430183)) = subset_difference(_430185, cast_to_subset(_430185), meet_of_subsets(_430185, _430183)))], (2286 ^ _350357) ^ [_430508, _430510] : [-(set_difference(_430510, set_difference(_430510, _430508)) = set_intersection2(_430510, _430508))], (2288 ^ _350357) ^ [_430597] : [-(set_difference(empty_set, _430597) = empty_set)], (2290 ^ _350357) ^ [_430721, _430723, _430725] : [-(element(_430725, _430721)), in(_430725, _430723), element(_430723, powerset(_430721))], (2300 ^ _350357) ^ [_431054, _431056] : [-(disjoint(_431056, _431054)), -(in(2303 ^ [_431054, _431056], set_intersection2(_431056, _431054)))], (2307 ^ _350357) ^ [_431289, _431291] : [2308 ^ _350357 : [(2309 ^ _350357) ^ [_431362] : [in(_431362, set_intersection2(_431291, _431289))]], disjoint(_431291, _431289)], (2313 ^ _350357) ^ [_431514] : [-(_431514 = empty_set), 2316 ^ _350357 : [(2317 ^ _350357) ^ [_431674] : [element(_431674, powerset(_431514)), 2320 ^ _350357 : [(2321 ^ _350357) ^ [_431828] : [element(_431828, _431514), -(in(_431828, _431674)), -(in(_431828, subset_complement(_431514, _431674)))]]]]], (2331 ^ _350357) ^ [_432174, _432176, _432178] : [element(_432174, powerset(_432178)), in(_432176, subset_complement(_432178, _432174)), in(_432176, _432174)], (2341 ^ _350357) ^ [_432480] : [relation(_432480), -(in(ordered_pair(2346 ^ [_432480], 2347 ^ [_432480]), _432480)), -(_432480 = empty_set)], (2353 ^ _350357) ^ [_432912, _432914, _432916] : [in(_432916, _432914), element(_432914, powerset(_432912)), empty(_432912)], (2363 ^ _350357) ^ [] : [-(relation_dom(empty_set) = empty_set)], (2365 ^ _350357) ^ [] : [-(relation_rng(empty_set) = empty_set)], (2367 ^ _350357) ^ [_433330, _433332] : [subset(_433332, _433330), proper_subset(_433330, _433332)], (2373 ^ _350357) ^ [_433553, _433555, _433557] : [-(disjoint(_433557, _433553)), subset(_433557, _433555), disjoint(_433555, _433553)], (2383 ^ _350357) ^ [_433848] : [relation(_433848), 2388 ^ _350357 : [(2389 ^ _350357) ^ [] : [relation_dom(_433848) = empty_set], (2391 ^ _350357) ^ [] : [relation_rng(_433848) = empty_set]], -(_433848 = empty_set)], (2395 ^ _350357) ^ [_434201] : [relation(_434201), 2398 ^ _350357 : [(2399 ^ _350357) ^ [] : [relation_dom(_434201) = empty_set, -(relation_rng(_434201) = empty_set)], (2405 ^ _350357) ^ [] : [relation_rng(_434201) = empty_set, -(relation_dom(_434201) = empty_set)]]], (2411 ^ _350357) ^ [_434684, _434686] : [set_difference(_434686, singleton(_434684)) = _434686, in(_434684, _434686)], (2417 ^ _350357) ^ [_434857, _434859] : [-(in(_434857, _434859)), -(set_difference(_434859, singleton(_434857)) = _434859)], (2423 ^ _350357) ^ [_435053] : [-(unordered_pair(_435053, _435053) = singleton(_435053))], (2425 ^ _350357) ^ [_435151] : [empty(_435151), -(_435151 = empty_set)], (2431 ^ _350357) ^ [_435353, _435355] : [subset(singleton(_435355), singleton(_435353)), -(_435355 = _435353)], (2437 ^ _350357) ^ [_435562] : [-(relation_dom(identity_relation(_435562)) = _435562)], (2439 ^ _350357) ^ [_435610] : [-(relation_rng(identity_relation(_435610)) = _435610)], (2441 ^ _350357) ^ [_435751, _435753, _435755, _435757] : [relation(_435751), 2444 ^ _350357 : [(2445 ^ _350357) ^ [] : [in(ordered_pair(_435757, _435755), relation_composition(identity_relation(_435753), _435751)), 2448 ^ _350357 : [(2449 ^ _350357) ^ [] : [-(in(_435757, _435753))], (2451 ^ _350357) ^ [] : [-(in(ordered_pair(_435757, _435755), _435751))]]], (2453 ^ _350357) ^ [] : [-(in(ordered_pair(_435757, _435755), relation_composition(identity_relation(_435753), _435751))), in(_435757, _435753), in(ordered_pair(_435757, _435755), _435751)]]], (2463 ^ _350357) ^ [_436444, _436446] : [in(_436446, _436444), empty(_436444)], (2469 ^ _350357) ^ [_436636, _436638] : [-(subset(_436638, set_union2(_436638, _436636)))], (2471 ^ _350357) ^ [_436777, _436779] : [disjoint(_436779, _436777), -(set_difference(_436779, _436777) = _436779)], (2477 ^ _350357) ^ [_436945, _436947] : [set_difference(_436947, _436945) = _436947, -(disjoint(_436947, _436945))], (2483 ^ _350357) ^ [_437177, _437179, _437181] : [relation(_437177), 2486 ^ _350357 : [(2487 ^ _350357) ^ [] : [in(_437181, relation_dom(relation_dom_restriction(_437177, _437179))), 2490 ^ _350357 : [(2491 ^ _350357) ^ [] : [-(in(_437181, _437179))], (2493 ^ _350357) ^ [] : [-(in(_437181, relation_dom(_437177)))]]], (2495 ^ _350357) ^ [] : [-(in(_437181, relation_dom(relation_dom_restriction(_437177, _437179)))), in(_437181, _437179), in(_437181, relation_dom(_437177))]]], (2505 ^ _350357) ^ [_437836, _437838] : [relation(_437836), -(subset(relation_dom_restriction(_437836, _437838), _437836))], (2511 ^ _350357) ^ [_438050, _438052] : [empty(_438052), -(_438052 = _438050), empty(_438050)], (2521 ^ _350357) ^ [_438361, _438363, _438365] : [-(subset(set_union2(_438365, _438361), _438363)), subset(_438365, _438363), subset(_438361, _438363)], (2531 ^ _350357) ^ [_438690, _438692, _438694] : [singleton(_438694) = unordered_pair(_438692, _438690), -(_438694 = _438692)], (2537 ^ _350357) ^ [_438916, _438918] : [relation(_438916), -(relation_dom(relation_dom_restriction(_438916, _438918)) = set_intersection2(relation_dom(_438916), _438918))], (2543 ^ _350357) ^ [_439144, _439146] : [in(_439146, _439144), -(subset(_439146, union(_439144)))], (2549 ^ _350357) ^ [_439358, _439360] : [relation(_439358), -(relation_dom_restriction(_439358, _439360) = relation_composition(identity_relation(_439360), _439358))], (2555 ^ _350357) ^ [_439582, _439584] : [relation(_439582), -(subset(relation_rng(relation_dom_restriction(_439582, _439584)), relation_rng(_439582)))], (2561 ^ _350357) ^ [_439775] : [-(union(powerset(_439775)) = _439775)], (2599 ^ _350357) ^ [_441296, _441298, _441300] : [singleton(_441300) = unordered_pair(_441298, _441296), -(_441298 = _441296)], (2564 ^ _350357) ^ [_440016] : [-(in(_440016, 2562 ^ [_440016]))], (2566 ^ _350357) ^ [_440128, _440130, _440132] : [-(in(_440128, 2562 ^ [_440132])), in(_440130, 2562 ^ [_440132]), subset(_440128, _440130)], (2576 ^ _350357) ^ [_440443, _440445] : [in(_440443, 2562 ^ [_440445]), 2580 ^ _350357 : [(2581 ^ _350357) ^ [] : [-(in(2579 ^ [_440443, _440445], 2562 ^ [_440445]))], (2583 ^ _350357) ^ [_440755] : [subset(_440755, _440443), -(in(_440755, 2579 ^ [_440443, _440445]))]]], (2589 ^ _350357) ^ [_440962, _440964] : [subset(_440962, 2562 ^ [_440964]), -(are_equipotent(_440962, 2562 ^ [_440964])), -(in(_440962, 2562 ^ [_440964]))]], input).
% 0.61/1.38  ncf('1',plain,[subset(relation_rng(relation_rng_restriction(2604 ^ [], 2605 ^ [])), relation_rng(2605 ^ []))],start(2609 ^ 0)).
% 0.61/1.38  ncf('1.1',plain,[-(subset(relation_rng(relation_rng_restriction(2604 ^ [], 2605 ^ [])), relation_rng(2605 ^ []))), 1984 : relation(2605 ^ []), 1984 : subset(relation_rng_restriction(2604 ^ [], 2605 ^ []), 2605 ^ []), 1984 : relation(relation_rng_restriction(2604 ^ [], 2605 ^ []))],extension(1980 ^ 1,bind([[_419840, _419990], [relation_rng_restriction(2604 ^ [], 2605 ^ []), 2605 ^ []]]))).
% 0.61/1.38  ncf('1.1.1',plain,[-(relation(2605 ^ []))],extension(2607 ^ 4)).
% 0.61/1.38  ncf('1.1.2',plain,[-(subset(relation_rng_restriction(2604 ^ [], 2605 ^ []), 2605 ^ [])), relation(2605 ^ [])],extension(1871 ^ 4,bind([[_415954, _415956], [2605 ^ [], 2604 ^ []]]))).
% 0.61/1.38  ncf('1.1.2.1',plain,[-(relation(2605 ^ []))],lemmata('[1].x')).
% 0.61/1.38  ncf('1.1.3',plain,[-(relation(relation_rng_restriction(2604 ^ [], 2605 ^ []))), relation(2605 ^ [])],extension(1485 ^ 2,bind([[_402787, _402789], [2605 ^ [], 2604 ^ []]]))).
% 0.61/1.38  ncf('1.1.3.1',plain,[-(relation(2605 ^ []))],extension(2607 ^ 3)).
% 0.61/1.38  %-----------------------------------------------------
% 0.61/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------