%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU271+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n029.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 12:02:57 EDT 2023

% Result   : Theorem 53.49s 52.21s
% Output   : Proof 53.49s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU271+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n029.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Thu May 18 13:19:58 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 53.49/52.21  
% 53.49/52.21  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 53.49/52.21  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 53.49/52.21  %-----------------------------------------------------
% 53.49/52.21  ncf(matrix, plain, [(669 ^ _128186) ^ [] : [antisymmetric(inclusion_relation(667 ^ []))], !, (182 ^ _106847) ^ [_112613, _112615] : [_112615 = _112613, -(relation_field(_112615) = relation_field(_112613))], (596 ^ _106847) ^ [_125610] : [-(set_union2(_125610, empty_set) = _125610)], (10 ^ _106847) ^ [_107282, _107284, _107286] : [-(_107286 = _107282), _107286 = _107284, _107284 = _107282], (513 ^ _106847) ^ [] : [-(epsilon_connected(empty_set))], (505 ^ _106847) ^ [] : [-(function(empty_set))], (482 ^ _106847) ^ [] : [true___, -(true___)], (328 ^ _106847) ^ [_117408, _117410] : [relation(_117408), 331 ^ _106847 : [(332 ^ _106847) ^ [] : [_117408 = inclusion_relation(_117410), 335 ^ _106847 : [(338 ^ _106847) ^ [_117771, _117773] : [in(_117773, _117410), in(_117771, _117410), 345 ^ _106847 : [(352 ^ _106847) ^ [] : [subset(_117773, _117771), -(in(ordered_pair(_117773, _117771), _117408))], (346 ^ _106847) ^ [] : [in(ordered_pair(_117773, _117771), _117408), -(subset(_117773, _117771))]]], (336 ^ _106847) ^ [] : [-(relation_field(_117408) = _117410)]]], (358 ^ _106847) ^ [] : [-(_117408 = inclusion_relation(_117410)), relation_field(_117408) = _117410, 365 ^ _106847 : [(370 ^ _106847) ^ [] : [371 ^ _106847 : [(374 ^ _106847) ^ [] : [subset(363 ^ [_117408, _117410], 364 ^ [_117408, _117410])], (372 ^ _106847) ^ [] : [-(in(ordered_pair(363 ^ [_117408, _117410], 364 ^ [_117408, _117410]), _117408))]], 375 ^ _106847 : [(378 ^ _106847) ^ [] : [in(ordered_pair(363 ^ [_117408, _117410], 364 ^ [_117408, _117410]), _117408)], (376 ^ _106847) ^ [] : [-(subset(363 ^ [_117408, _117410], 364 ^ [_117408, _117410]))]]], (368 ^ _106847) ^ [] : [-(in(364 ^ [_117408, _117410], _117410))], (366 ^ _106847) ^ [] : [-(in(363 ^ [_117408, _117410], _117410))]]]]], (556 ^ _106847) ^ [] : [-(function(552 ^ []))], (238 ^ _106847) ^ [_114664] : [empty(_114664), -(function(_114664))], (523 ^ _106847) ^ [_123349, _123351] : [-(empty(_123351)), empty(set_union2(_123349, _123351))], (446 ^ _106847) ^ [] : [true___, -(true___)], (290 ^ _106847) ^ [_116195, _116197] : [-(unordered_pair(_116197, _116195) = unordered_pair(_116195, _116197))], (424 ^ _106847) ^ [_120830, _120832] : [-(ordered_pair(_120832, _120830) = unordered_pair(unordered_pair(_120832, _120830), singleton(_120832)))], (452 ^ _106847) ^ [] : [true___, -(true___)], (614 ^ _106847) ^ [_126257, _126259] : [element(_126259, powerset(_126257)), -(subset(_126259, _126257))], (495 ^ _106847) ^ [_122435] : [-(element(493 ^ [_122435], _122435))], (529 ^ _106847) ^ [_123550, _123552] : [-(set_union2(_123552, _123552) = _123552)], (503 ^ _106847) ^ [] : [-(relation_empty_yielding(empty_set))], (94 ^ _106847) ^ [_109809, _109811] : [-(function(_109809)), _109811 = _109809, function(_109811)], (470 ^ _106847) ^ [] : [true___, -(true___)], (4 ^ _106847) ^ [_107078, _107080] : [_107080 = _107078, -(_107078 = _107080)], (598 ^ _106847) ^ [_125720, _125722] : [in(_125722, _125720), -(element(_125722, _125720))], (210 ^ _106847) ^ [_113654, _113656, _113658, _113660] : [-(set_union2(_113660, _113656) = set_union2(_113658, _113654)), _113660 = _113658, _113656 = _113654], (604 ^ _106847) ^ [_125930, _125932] : [element(_125932, _125930), -(empty(_125930)), -(in(_125932, _125930))], (537 ^ _106847) ^ [] : [-(epsilon_transitive(535 ^ []))], (497 ^ _106847) ^ [] : [-(empty(empty_set))], (590 ^ _106847) ^ [] : [-(relation_empty_yielding(586 ^ []))], (554 ^ _106847) ^ [] : [-(relation(552 ^ []))], (118 ^ _106847) ^ [_110576, _110578, _110580, _110582] : [-(element(_110580, _110576)), element(_110582, _110578), _110582 = _110580, _110578 = _110576], (64 ^ _106847) ^ [_108924, _108926] : [-(ordinal(_108924)), _108926 = _108924, ordinal(_108926)], (544 ^ _106847) ^ [] : [-(empty(542 ^ []))], (2 ^ _106847) ^ [_106971] : [-(_106971 = _106971)], (620 ^ _106847) ^ [_126423, _126425] : [subset(_126425, _126423), -(element(_126425, powerset(_126423)))], (476 ^ _106847) ^ [] : [true___, -(true___)], (292 ^ _106847) ^ [_116295, _116297] : [-(set_union2(_116297, _116295) = set_union2(_116295, _116297))], (592 ^ _106847) ^ [] : [-(function(586 ^ []))], (566 ^ _106847) ^ [] : [-(ordinal(552 ^ []))], (270 ^ _106847) ^ [_115600] : [-(ordinal(_115600)), epsilon_transitive(_115600), epsilon_connected(_115600)], (232 ^ _106847) ^ [_114467, _114469] : [in(_114469, _114467), in(_114467, _114469)], (509 ^ _106847) ^ [] : [-(empty(empty_set))], (252 ^ _106847) ^ [_115107] : [263 ^ _106847 : [(268 ^ _106847) ^ [] : [-(one_to_one(_115107))], (266 ^ _106847) ^ [] : [-(function(_115107))], (264 ^ _106847) ^ [] : [-(relation(_115107))]], relation(_115107), empty(_115107), function(_115107)], (426 ^ _106847) ^ [_120936] : [relation(_120936), -(relation_field(_120936) = set_union2(relation_dom(_120936), relation_rng(_120936)))], (626 ^ _106847) ^ [_126653, _126655, _126657] : [-(element(_126657, _126653)), in(_126657, _126655), element(_126655, powerset(_126653))], (547 ^ _106847) ^ [] : [-(relation(545 ^ []))], (507 ^ _106847) ^ [] : [-(one_to_one(empty_set))], (574 ^ _106847) ^ [] : [-(function(570 ^ []))], (646 ^ _106847) ^ [_127276] : [empty(_127276), -(_127276 = empty_set)], (569 ^ _106847) ^ [] : [empty(567 ^ [])], (652 ^ _106847) ^ [_127478, _127480] : [in(_127480, _127478), empty(_127478)], (541 ^ _106847) ^ [] : [-(ordinal(535 ^ []))], (34 ^ _106847) ^ [_108039, _108041] : [-(one_to_one(_108039)), _108041 = _108039, one_to_one(_108041)], (188 ^ _106847) ^ [_112831, _112833] : [_112833 = _112831, -(relation_dom(_112833) = relation_dom(_112831))], (104 ^ _106847) ^ [_110132, _110134, _110136, _110138] : [-(subset(_110136, _110132)), subset(_110138, _110134), _110138 = _110136, _110134 = _110132], (54 ^ _106847) ^ [_108629, _108631] : [-(epsilon_connected(_108629)), _108631 = _108629, epsilon_connected(_108631)], (194 ^ _106847) ^ [_113049, _113051] : [_113051 = _113049, -(relation_rng(_113051) = relation_rng(_113049))], (532 ^ _106847) ^ [] : [-(relation(530 ^ []))], (551 ^ _106847) ^ [] : [-(function(545 ^ []))], (488 ^ _106847) ^ [] : [true___, -(true___)], (438 ^ _106847) ^ [] : [true___, -(true___)], (560 ^ _106847) ^ [] : [-(empty(552 ^ []))], (44 ^ _106847) ^ [_108334, _108336] : [-(epsilon_transitive(_108334)), _108336 = _108334, epsilon_transitive(_108336)], (84 ^ _106847) ^ [_109514, _109516] : [-(relation_empty_yielding(_109514)), _109516 = _109514, relation_empty_yielding(_109516)], (583 ^ _106847) ^ [] : [-(epsilon_connected(577 ^ []))], (444 ^ _106847) ^ [_121365] : [-(relation(inclusion_relation(_121365)))], (579 ^ _106847) ^ [] : [empty(577 ^ [])], (581 ^ _106847) ^ [] : [-(epsilon_transitive(577 ^ []))], (517 ^ _106847) ^ [_123133, _123135] : [-(empty(_123135)), empty(set_union2(_123135, _123133))], (499 ^ _106847) ^ [_122584, _122586] : [empty(ordered_pair(_122586, _122584))], (20 ^ _106847) ^ [_107623, _107625, _107627, _107629] : [-(is_antisymmetric_in(_107627, _107623)), is_antisymmetric_in(_107629, _107625), _107629 = _107627, _107625 = _107623], (464 ^ _106847) ^ [] : [true___, -(true___)], (226 ^ _106847) ^ [_114183, _114185] : [_114185 = _114183, -(inclusion_relation(_114185) = inclusion_relation(_114183))], (382 ^ _106847) ^ [_119194] : [relation(_119194), 385 ^ _106847 : [(386 ^ _106847) ^ [_119394] : [is_antisymmetric_in(_119194, _119394), 389 ^ _106847 : [(390 ^ _106847) ^ [_119576, _119578] : [-(_119578 = _119576), in(_119578, _119394), in(_119576, _119394), in(ordered_pair(_119578, _119576), _119194), in(ordered_pair(_119576, _119578), _119194)]]], (408 ^ _106847) ^ [_120062] : [411 ^ _106847 : [(412 ^ _106847) ^ [] : [-(in(409 ^ [_119194, _120062], _120062))], (416 ^ _106847) ^ [] : [-(in(ordered_pair(409 ^ [_119194, _120062], 410 ^ [_119194, _120062]), _119194))], (420 ^ _106847) ^ [] : [409 ^ [_119194, _120062] = 410 ^ [_119194, _120062]], (418 ^ _106847) ^ [] : [-(in(ordered_pair(410 ^ [_119194, _120062], 409 ^ [_119194, _120062]), _119194))], (414 ^ _106847) ^ [] : [-(in(410 ^ [_119194, _120062], _120062))]], -(is_antisymmetric_in(_119194, _120062))]]], (501 ^ _106847) ^ [] : [-(relation(empty_set))], (146 ^ _106847) ^ [_111436, _111438] : [-(empty(_111436)), _111438 = _111436, empty(_111438)], (302 ^ _106847) ^ [_116676, _116678] : [-(_116678 = _116676), subset(_116678, _116676), subset(_116676, _116678)], (572 ^ _106847) ^ [] : [-(relation(570 ^ []))], (539 ^ _106847) ^ [] : [-(epsilon_connected(535 ^ []))], (636 ^ _106847) ^ [_126980, _126982, _126984] : [in(_126984, _126982), element(_126982, powerset(_126980)), empty(_126980)], (658 ^ _106847) ^ [_127665, _127667] : [empty(_127667), -(_127667 = _127665), empty(_127665)], (564 ^ _106847) ^ [] : [-(epsilon_connected(552 ^ []))], (549 ^ _106847) ^ [] : [-(empty(545 ^ []))], (576 ^ _106847) ^ [] : [-(one_to_one(570 ^ []))], (585 ^ _106847) ^ [] : [-(ordinal(577 ^ []))], (432 ^ _106847) ^ [] : [true___, -(true___)], (166 ^ _106847) ^ [_112064, _112066, _112068, _112070] : [-(unordered_pair(_112070, _112066) = unordered_pair(_112068, _112064)), _112070 = _112068, _112066 = _112064], (220 ^ _106847) ^ [_113985, _113987] : [_113987 = _113985, -(powerset(_113987) = powerset(_113985))], (200 ^ _106847) ^ [_113295, _113297, _113299, _113301] : [-(ordered_pair(_113301, _113297) = ordered_pair(_113299, _113295)), _113301 = _113299, _113297 = _113295], (562 ^ _106847) ^ [] : [-(epsilon_transitive(552 ^ []))], (312 ^ _106847) ^ [_116963] : [relation(_116963), 315 ^ _106847 : [(322 ^ _106847) ^ [] : [is_antisymmetric_in(_116963, relation_field(_116963)), -(antisymmetric(_116963))], (316 ^ _106847) ^ [] : [antisymmetric(_116963), -(is_antisymmetric_in(_116963, relation_field(_116963)))]]], (132 ^ _106847) ^ [_111020, _111022, _111024, _111026] : [-(in(_111024, _111020)), in(_111026, _111022), _111026 = _111024, _111022 = _111020], (458 ^ _106847) ^ [] : [true___, -(true___)], (280 ^ _106847) ^ [_115869] : [empty(_115869), 283 ^ _106847 : [(288 ^ _106847) ^ [] : [-(ordinal(_115869))], (286 ^ _106847) ^ [] : [-(epsilon_connected(_115869))], (284 ^ _106847) ^ [] : [-(epsilon_transitive(_115869))]]], (511 ^ _106847) ^ [] : [-(epsilon_transitive(empty_set))], (244 ^ _106847) ^ [_114850] : [ordinal(_114850), 247 ^ _106847 : [(250 ^ _106847) ^ [] : [-(epsilon_connected(_114850))], (248 ^ _106847) ^ [] : [-(epsilon_transitive(_114850))]]], (515 ^ _106847) ^ [] : [-(ordinal(empty_set))], (534 ^ _106847) ^ [] : [-(function(530 ^ []))], (294 ^ _106847) ^ [_116439, _116441] : [_116441 = _116439, 297 ^ _106847 : [(300 ^ _106847) ^ [] : [-(subset(_116439, _116441))], (298 ^ _106847) ^ [] : [-(subset(_116441, _116439))]]], (594 ^ _106847) ^ [_125530, _125532] : [-(subset(_125532, _125532))], (588 ^ _106847) ^ [] : [-(relation(586 ^ []))], (558 ^ _106847) ^ [] : [-(one_to_one(552 ^ []))], (74 ^ _106847) ^ [_109219, _109221] : [-(relation(_109219)), _109221 = _109219, relation(_109221)], (176 ^ _106847) ^ [_112395, _112397] : [_112397 = _112395, -(singleton(_112397) = singleton(_112395))], (156 ^ _106847) ^ [_111711, _111713] : [-(antisymmetric(_111711)), _111713 = _111711, antisymmetric(_111713)]], input).
% 53.49/52.21  ncf('1',plain,[antisymmetric(inclusion_relation(667 ^ []))],start(669 ^ 0)).
% 53.49/52.21  ncf('1.1',plain,[-(antisymmetric(inclusion_relation(667 ^ []))), 322 : is_antisymmetric_in(inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))), 322 : relation(inclusion_relation(667 ^ []))],extension(312 ^ 1,bind([[_116963], [inclusion_relation(667 ^ [])]]))).
% 53.49/52.21  ncf('1.1.1',plain,[-(is_antisymmetric_in(inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ [])))), 416 : -(in(ordered_pair(409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], 410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))]), inclusion_relation(667 ^ []))), 408 : relation(inclusion_relation(667 ^ []))],extension(382 ^ 4,bind([[_119194, _120062], [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))]]))).
% 53.49/52.21  ncf('1.1.1.1',plain,[in(ordered_pair(409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], 410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))]), inclusion_relation(667 ^ [])), 346 : -(subset(409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], 410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))])), 346 : in(409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], relation_field(inclusion_relation(667 ^ []))), 346 : in(410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], relation_field(inclusion_relation(667 ^ []))), 338 : inclusion_relation(667 ^ []) = inclusion_relation(relation_field(inclusion_relation(667 ^ []))), 332 : relation(inclusion_relation(667 ^ []))],extension(328 ^ 9,bind([[_117408, _117410, _117771, _117773], [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ [])), 410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], 409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))]]]))).
% 53.49/52.21  ncf('1.1.1.1.1',plain,[subset(409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], 410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))]), -(409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))] = 410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))]), subset(410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], 409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))])],extension(302 ^ 16,bind([[_116676, _116678], [410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], 409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))]]]))).
% 53.49/52.21  ncf('1.1.1.1.1.1',plain,[409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))] = 410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], -(409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))] = 409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))]), 410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))] = 409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))]],extension(10 ^ 17,bind([[_107282, _107284, _107286], [409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], 410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], 409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))]]]))).
% 53.49/52.21  ncf('1.1.1.1.1.1.1',plain,[409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))] = 409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], -(409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))] = 410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))]), 409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))] = 410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))]],extension(10 ^ 18,bind([[_107282, _107284, _107286], [410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], 409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], 409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))]]]))).
% 53.49/52.21  ncf('1.1.1.1.1.1.1.1',plain,[409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))] = 410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))]],extension(420 ^ 19)).
% 53.49/52.21  ncf('1.1.1.1.1.1.1.2',plain,[-(409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))] = 410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))])],reduction('1.1.1.1.1')).
% 53.49/52.21  ncf('1.1.1.1.1.1.2',plain,[-(410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))] = 409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))]), 410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))] = 409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], 409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))] = 409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))]],extension(10 ^ 18,bind([[_107282, _107284, _107286], [409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], 409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], 410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))]]]))).
% 53.49/52.21  ncf('1.1.1.1.1.1.2.1',plain,[-(410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))] = 409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))]), 409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))] = 410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))]],extension(4 ^ 19,bind([[_107078, _107080], [410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], 409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))]]]))).
% 53.49/52.21  ncf('1.1.1.1.1.1.2.1.1',plain,[-(409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))] = 410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))])],reduction('1.1.1.1.1')).
% 53.49/52.21  ncf('1.1.1.1.1.1.2.2',plain,[-(409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))] = 409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))])],extension(2 ^ 19,bind([[_106971], [409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))]]]))).
% 53.49/52.21  ncf('1.1.1.1.1.2',plain,[-(subset(410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], 409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))])), 346 : in(ordered_pair(410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], 409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))]), inclusion_relation(667 ^ [])), 346 : in(410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], relation_field(inclusion_relation(667 ^ []))), 346 : in(409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], relation_field(inclusion_relation(667 ^ [])))],extension(338 ^ 17,bind([[_117771, _117773], [409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], 410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))]]]))).
% 53.49/52.21  ncf('1.1.1.1.1.2.1',plain,[-(in(ordered_pair(410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], 409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))]), inclusion_relation(667 ^ [])))],extension(418 ^ 20)).
% 53.49/52.21  ncf('1.1.1.1.1.2.2',plain,[-(in(410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], relation_field(inclusion_relation(667 ^ []))))],extension(414 ^ 18)).
% 53.49/52.21  ncf('1.1.1.1.1.2.3',plain,[-(in(409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], relation_field(inclusion_relation(667 ^ []))))],extension(412 ^ 18)).
% 53.49/52.21  ncf('1.1.1.1.2',plain,[-(in(409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], relation_field(inclusion_relation(667 ^ [])))), element(409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], relation_field(inclusion_relation(667 ^ []))), -(empty(relation_field(inclusion_relation(667 ^ []))))],extension(604 ^ 14,bind([[_125930, _125932], [relation_field(inclusion_relation(667 ^ [])), 409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))]]]))).
% 53.49/52.21  ncf('1.1.1.1.2.1',plain,[-(element(409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], relation_field(inclusion_relation(667 ^ [])))), in(409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], relation_field(inclusion_relation(667 ^ []))), element(relation_field(inclusion_relation(667 ^ [])), powerset(relation_field(inclusion_relation(667 ^ []))))],extension(626 ^ 15,bind([[_126653, _126655, _126657], [relation_field(inclusion_relation(667 ^ [])), relation_field(inclusion_relation(667 ^ [])), 409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))]]]))).
% 53.49/52.21  ncf('1.1.1.1.2.1.1',plain,[-(in(409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], relation_field(inclusion_relation(667 ^ []))))],extension(412 ^ 16)).
% 53.49/52.21  ncf('1.1.1.1.2.1.2',plain,[-(element(relation_field(inclusion_relation(667 ^ [])), powerset(relation_field(inclusion_relation(667 ^ []))))), subset(relation_field(inclusion_relation(667 ^ [])), relation_field(inclusion_relation(667 ^ [])))],extension(620 ^ 16,bind([[_126423, _126425], [relation_field(inclusion_relation(667 ^ [])), relation_field(inclusion_relation(667 ^ []))]]))).
% 53.49/52.21  ncf('1.1.1.1.2.1.2.1',plain,[-(subset(relation_field(inclusion_relation(667 ^ [])), relation_field(inclusion_relation(667 ^ []))))],extension(594 ^ 17,bind([[_125530, _125532], [_77973, relation_field(inclusion_relation(667 ^ []))]]))).
% 53.49/52.21  ncf('1.1.1.1.2.2',plain,[empty(relation_field(inclusion_relation(667 ^ []))), in(409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], relation_field(inclusion_relation(667 ^ [])))],extension(652 ^ 15,bind([[_127478, _127480], [relation_field(inclusion_relation(667 ^ [])), 409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))]]]))).
% 53.49/52.21  ncf('1.1.1.1.2.2.1',plain,[-(in(409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], relation_field(inclusion_relation(667 ^ []))))],extension(412 ^ 16)).
% 53.49/52.21  ncf('1.1.1.1.3',plain,[-(in(410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], relation_field(inclusion_relation(667 ^ [])))), element(410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], relation_field(inclusion_relation(667 ^ []))), -(empty(relation_field(inclusion_relation(667 ^ []))))],extension(604 ^ 14,bind([[_125930, _125932], [relation_field(inclusion_relation(667 ^ [])), 410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))]]]))).
% 53.49/52.21  ncf('1.1.1.1.3.1',plain,[-(element(410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], relation_field(inclusion_relation(667 ^ [])))), in(410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], relation_field(inclusion_relation(667 ^ []))), element(relation_field(inclusion_relation(667 ^ [])), powerset(relation_field(inclusion_relation(667 ^ []))))],extension(626 ^ 15,bind([[_126653, _126655, _126657], [relation_field(inclusion_relation(667 ^ [])), relation_field(inclusion_relation(667 ^ [])), 410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))]]]))).
% 53.49/52.21  ncf('1.1.1.1.3.1.1',plain,[-(in(410 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], relation_field(inclusion_relation(667 ^ []))))],extension(414 ^ 16)).
% 53.49/52.21  ncf('1.1.1.1.3.1.2',plain,[-(element(relation_field(inclusion_relation(667 ^ [])), powerset(relation_field(inclusion_relation(667 ^ []))))), subset(relation_field(inclusion_relation(667 ^ [])), relation_field(inclusion_relation(667 ^ [])))],extension(620 ^ 16,bind([[_126423, _126425], [relation_field(inclusion_relation(667 ^ [])), relation_field(inclusion_relation(667 ^ []))]]))).
% 53.49/52.21  ncf('1.1.1.1.3.1.2.1',plain,[-(subset(relation_field(inclusion_relation(667 ^ [])), relation_field(inclusion_relation(667 ^ []))))],extension(594 ^ 17,bind([[_125530, _125532], [_81025, relation_field(inclusion_relation(667 ^ []))]]))).
% 53.49/52.21  ncf('1.1.1.1.3.2',plain,[empty(relation_field(inclusion_relation(667 ^ []))), in(409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], relation_field(inclusion_relation(667 ^ [])))],extension(652 ^ 15,bind([[_127478, _127480], [relation_field(inclusion_relation(667 ^ [])), 409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))]]]))).
% 53.49/52.21  ncf('1.1.1.1.3.2.1',plain,[-(in(409 ^ [inclusion_relation(667 ^ []), relation_field(inclusion_relation(667 ^ []))], relation_field(inclusion_relation(667 ^ []))))],extension(412 ^ 16)).
% 53.49/52.21  ncf('1.1.1.1.4',plain,[-(inclusion_relation(667 ^ []) = inclusion_relation(relation_field(inclusion_relation(667 ^ [])))), inclusion_relation(relation_field(inclusion_relation(667 ^ []))) = inclusion_relation(667 ^ [])],extension(4 ^ 12,bind([[_107078, _107080], [inclusion_relation(667 ^ []), inclusion_relation(relation_field(inclusion_relation(667 ^ [])))]]))).
% 53.49/52.21  ncf('1.1.1.1.4.1',plain,[-(inclusion_relation(relation_field(inclusion_relation(667 ^ []))) = inclusion_relation(667 ^ [])), relation_field(inclusion_relation(667 ^ [])) = 667 ^ []],extension(226 ^ 13,bind([[_114183, _114185], [667 ^ [], relation_field(inclusion_relation(667 ^ []))]]))).
% 53.49/52.21  ncf('1.1.1.1.4.1.1',plain,[-(relation_field(inclusion_relation(667 ^ [])) = 667 ^ []), 332 : inclusion_relation(667 ^ []) = inclusion_relation(667 ^ []), 332 : relation(inclusion_relation(667 ^ []))],extension(328 ^ 14,bind([[_117408, _117410], [inclusion_relation(667 ^ []), 667 ^ []]]))).
% 53.49/52.21  ncf('1.1.1.1.4.1.1.1',plain,[-(inclusion_relation(667 ^ []) = inclusion_relation(667 ^ []))],extension(2 ^ 17,bind([[_106971], [inclusion_relation(667 ^ [])]]))).
% 53.49/52.21  ncf('1.1.1.1.4.1.1.2',plain,[-(relation(inclusion_relation(667 ^ [])))],extension(444 ^ 15,bind([[_121365], [667 ^ []]]))).
% 53.49/52.21  ncf('1.1.1.1.5',plain,[-(relation(inclusion_relation(667 ^ [])))],extension(444 ^ 10,bind([[_121365], [667 ^ []]]))).
% 53.49/52.21  ncf('1.1.1.2',plain,[-(relation(inclusion_relation(667 ^ [])))],extension(444 ^ 5,bind([[_121365], [667 ^ []]]))).
% 53.49/52.21  ncf('1.1.2',plain,[-(relation(inclusion_relation(667 ^ [])))],extension(444 ^ 2,bind([[_121365], [667 ^ []]]))).
% 53.49/52.21  %-----------------------------------------------------
% 53.49/52.21  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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