%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU298+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n012.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 12:03:03 EDT 2023

% Result   : Theorem 44.09s 43.76s
% Output   : Proof 44.09s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU298+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May 18 13:18:47 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 44.09/43.76  
% 44.09/43.76  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 44.09/43.76  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 44.09/43.76  %-----------------------------------------------------
% 44.09/43.76  ncf(matrix, plain, [(559 ^ _121210) ^ [_121451] : [572 ^ _121210 : [(576 ^ _121210) ^ [] : [-(in(574 ^ [_121451], 552 ^ []))], (578 ^ _121210) ^ [] : [-(557 ^ [_121451] = set_difference(574 ^ [_121451], singleton(551 ^ [])))], (580 ^ _121210) ^ [] : [in(557 ^ [_121451], _121451)], (573 ^ _121210) ^ [] : [-(in(557 ^ [_121451], powerset(551 ^ [])))]], 560 ^ _121210 : [(563 ^ _121210) ^ [] : [in(557 ^ [_121451], powerset(551 ^ [])), 566 ^ _121210 : [(567 ^ _121210) ^ [_121761] : [in(_121761, 552 ^ []), 557 ^ [_121451] = set_difference(_121761, singleton(551 ^ []))]]], (561 ^ _121210) ^ [] : [-(in(557 ^ [_121451], _121451))]]], (556 ^ _121210) ^ [] : [-(element(552 ^ [], powerset(powerset(succ(551 ^ [])))))], (554 ^ _121210) ^ [] : [-(ordinal(551 ^ []))], !, (326 ^ _102652) ^ [_113048] : [empty(_113048), -(function(_113048))], (446 ^ _102652) ^ [_116497] : [empty(singleton(_116497))], (405 ^ _102652) ^ [] : [-(empty(403 ^ []))], (365 ^ _102652) ^ [] : [-(epsilon_transitive(363 ^ []))], (217 ^ _102652) ^ [] : [-(empty(213 ^ []))], (299 ^ _102652) ^ [_112087] : [-(empty(_112087)), 303 ^ _102652 : [(308 ^ _102652) ^ [] : [-(finite(302 ^ [_112087]))], (306 ^ _102652) ^ [] : [empty(302 ^ [_112087])], (304 ^ _102652) ^ [] : [-(element(302 ^ [_112087], powerset(_112087)))]]], (173 ^ _102652) ^ [_108240] : [-(function(165 ^ [_108240]))], (167 ^ _102652) ^ [_108033] : [-(element(165 ^ [_108033], powerset(_108033)))], (338 ^ _102652) ^ [_113420] : [345 ^ _102652 : [(348 ^ _102652) ^ [] : [-(epsilon_connected(_113420))], (350 ^ _102652) ^ [] : [-(ordinal(_113420))], (352 ^ _102652) ^ [] : [-(natural(_113420))], (346 ^ _102652) ^ [] : [-(epsilon_transitive(_113420))]], empty(_113420), ordinal(_113420)], (144 ^ _102652) ^ [_107167, _107169] : [_107169 = _107167, -(powerset(_107169) = powerset(_107167))], (402 ^ _102652) ^ [_115409] : [-(empty(398 ^ [_115409]))], (179 ^ _102652) ^ [_108444] : [-(epsilon_connected(165 ^ [_108444]))], (205 ^ _102652) ^ [] : [-(epsilon_connected(193 ^ []))], (371 ^ _102652) ^ [_114378] : [empty(_114378), 374 ^ _102652 : [(379 ^ _102652) ^ [] : [-(ordinal(_114378))], (377 ^ _102652) ^ [] : [-(epsilon_connected(_114378))], (375 ^ _102652) ^ [] : [-(epsilon_transitive(_114378))]]], (466 ^ _102652) ^ [_117202] : [ordinal(_117202), 469 ^ _102652 : [(472 ^ _102652) ^ [] : [-(epsilon_connected(_117202))], (470 ^ _102652) ^ [] : [-(epsilon_transitive(_117202))]]], (266 ^ _102652) ^ [] : [-(ordinal(258 ^ []))], (160 ^ _102652) ^ [_107724, _107726] : [_107726 = _107724, -(singleton(_107726) = singleton(_107724))], (192 ^ _102652) ^ [] : [-(one_to_one(186 ^ []))], (367 ^ _102652) ^ [] : [-(epsilon_connected(363 ^ []))], (80 ^ _102652) ^ [_105170, _105172] : [-(epsilon_connected(_105170)), _105172 = _105170, epsilon_connected(_105172)], (428 ^ _102652) ^ [] : [true___, -(true___)], (199 ^ _102652) ^ [] : [-(one_to_one(193 ^ []))], (268 ^ _102652) ^ [] : [-(natural(258 ^ []))], (171 ^ _102652) ^ [_108172] : [-(relation(165 ^ [_108172]))], (408 ^ _102652) ^ [] : [empty(406 ^ [])], (195 ^ _102652) ^ [] : [-(relation(193 ^ []))], (100 ^ _102652) ^ [_105760, _105762] : [-(ordinal(_105760)), _105762 = _105760, ordinal(_105762)], (416 ^ _102652) ^ [] : [true___, -(true___)], (207 ^ _102652) ^ [] : [-(ordinal(193 ^ []))], (90 ^ _102652) ^ [_105465, _105467] : [-(empty(_105465)), _105467 = _105465, empty(_105467)], (257 ^ _102652) ^ [] : [-(relation(253 ^ []))], (30 ^ _102652) ^ [_103695, _103697] : [-(function(_103695)), _103697 = _103695, function(_103697)], (440 ^ _102652) ^ [] : [true___, -(true___)], (434 ^ _102652) ^ [] : [true___, -(true___)], (448 ^ _102652) ^ [_116542] : [-(finite(singleton(_116542)))], (262 ^ _102652) ^ [] : [-(epsilon_transitive(258 ^ []))], (382 ^ _102652) ^ [] : [empty(380 ^ [])], (332 ^ _102652) ^ [_113234] : [empty(_113234), -(relation(_113234))], (293 ^ _102652) ^ [_111901] : [empty(_111901), -(finite(_111901))], (464 ^ _102652) ^ [_117108] : [empty(succ(_117108))], (210 ^ _102652) ^ [] : [-(relation(208 ^ []))], (488 ^ _102652) ^ [_117935] : [empty(singleton(_117935))], (289 ^ _102652) ^ [] : [empty(287 ^ [])], (185 ^ _102652) ^ [_108628] : [-(finite(165 ^ [_108628]))], (270 ^ _102652) ^ [_111180] : [277 ^ _102652 : [(278 ^ _102652) ^ [] : [empty(succ(_111180))], (282 ^ _102652) ^ [] : [-(epsilon_connected(succ(_111180)))], (286 ^ _102652) ^ [] : [-(natural(succ(_111180)))], (284 ^ _102652) ^ [] : [-(ordinal(succ(_111180)))], (280 ^ _102652) ^ [] : [-(epsilon_transitive(succ(_111180)))]], ordinal(_111180), natural(_111180)], (181 ^ _102652) ^ [_108512] : [-(ordinal(165 ^ [_108512]))], (124 ^ _102652) ^ [_106507, _106509, _106511, _106513] : [-(in(_106511, _106507)), in(_106513, _106509), _106513 = _106511, _106509 = _106507], (212 ^ _102652) ^ [] : [-(function(208 ^ []))], (291 ^ _102652) ^ [] : [-(finite(287 ^ []))], (215 ^ _102652) ^ [] : [-(relation(213 ^ []))], (400 ^ _102652) ^ [_115358] : [-(element(398 ^ [_115358], powerset(_115358)))], (40 ^ _102652) ^ [_103990, _103992] : [-(relation(_103990)), _103992 = _103990, relation(_103992)], (221 ^ _102652) ^ [_109759] : [232 ^ _102652 : [(237 ^ _102652) ^ [] : [-(one_to_one(_109759))], (235 ^ _102652) ^ [] : [-(function(_109759))], (233 ^ _102652) ^ [] : [-(relation(_109759))]], relation(_109759), empty(_109759), function(_109759)], (422 ^ _102652) ^ [] : [true___, -(true___)], (354 ^ _102652) ^ [_113900] : [-(ordinal(_113900)), epsilon_transitive(_113900), epsilon_connected(_113900)], (386 ^ _102652) ^ [] : [-(epsilon_connected(380 ^ []))], (110 ^ _102652) ^ [_106083, _106085, _106087, _106089] : [-(element(_106087, _106083)), element(_106089, _106085), _106089 = _106087, _106085 = _106083], (255 ^ _102652) ^ [] : [empty(253 ^ [])], (50 ^ _102652) ^ [_104285, _104287] : [-(natural(_104285)), _104287 = _104285, natural(_104287)], (264 ^ _102652) ^ [] : [-(epsilon_connected(258 ^ []))], (474 ^ _102652) ^ [_117459] : [ordinal(_117459), 477 ^ _102652 : [(480 ^ _102652) ^ [] : [-(epsilon_transitive(succ(_117459)))], (482 ^ _102652) ^ [] : [-(epsilon_connected(succ(_117459)))], (484 ^ _102652) ^ [] : [-(ordinal(succ(_117459)))], (478 ^ _102652) ^ [] : [empty(succ(_117459))]]], (169 ^ _102652) ^ [_108104] : [-(empty(165 ^ [_108104]))], (242 ^ _102652) ^ [] : [-(relation(238 ^ []))], (190 ^ _102652) ^ [] : [-(function(186 ^ []))], (240 ^ _102652) ^ [] : [-(empty(238 ^ []))], (310 ^ _102652) ^ [_112499] : [finite(_112499), 313 ^ _102652 : [(314 ^ _102652) ^ [_112631] : [element(_112631, powerset(_112499)), -(finite(_112631))]]], (490 ^ _102652) ^ [_118023, _118025] : [ordinal(_118025), element(_118023, powerset(powerset(succ(_118025)))), 502 ^ _102652 : [(508 ^ _102652) ^ [] : [-(500 ^ [_118023, _118025] = set_difference(504 ^ [_118023, _118025], singleton(_118025)))], (515 ^ _102652) ^ [] : [-(501 ^ [_118023, _118025] = set_difference(511 ^ [_118023, _118025], singleton(_118025)))], (517 ^ _102652) ^ [] : [500 ^ [_118023, _118025] = 501 ^ [_118023, _118025]], (510 ^ _102652) ^ [] : [-(499 ^ [_118023, _118025] = 501 ^ [_118023, _118025])], (503 ^ _102652) ^ [] : [-(499 ^ [_118023, _118025] = 500 ^ [_118023, _118025])], (506 ^ _102652) ^ [] : [-(in(504 ^ [_118023, _118025], _118023))], (513 ^ _102652) ^ [] : [-(in(511 ^ [_118023, _118025], _118023))]], 519 ^ _102652 : [(534 ^ _102652) ^ [_120196] : [-(in(_120196, 518 ^ [_118023, _118025])), 535 ^ _102652 : [(536 ^ _102652) ^ [_120325] : [in(_120325, powerset(_118025)), _120325 = _120196, 543 ^ _102652 : [(544 ^ _102652) ^ [_120578] : [in(_120578, _118023), _120196 = set_difference(_120578, singleton(_118025))]]]]], (520 ^ _102652) ^ [_119582] : [in(_119582, 518 ^ [_118023, _118025]), 524 ^ _102652 : [(527 ^ _102652) ^ [] : [-(523 ^ [_118023, _118025, _119582] = _119582)], (530 ^ _102652) ^ [] : [-(in(528 ^ [_118023, _118025, _119582], _118023))], (532 ^ _102652) ^ [] : [-(_119582 = set_difference(528 ^ [_118023, _118025, _119582], singleton(_118025)))], (525 ^ _102652) ^ [] : [-(in(523 ^ [_118023, _118025, _119582], powerset(_118025)))]]]]], (10 ^ _102652) ^ [_103087, _103089, _103091] : [-(_103091 = _103087), _103091 = _103089, _103089 = _103087], (320 ^ _102652) ^ [_112850, _112852] : [finite(_112852), -(finite(set_difference(_112852, _112850)))], (188 ^ _102652) ^ [] : [-(relation(186 ^ []))], (197 ^ _102652) ^ [] : [-(function(193 ^ []))], (410 ^ _102652) ^ [_115701, _115703] : [in(_115703, _115701), in(_115701, _115703)], (70 ^ _102652) ^ [_104875, _104877] : [-(epsilon_transitive(_104875)), _104877 = _104875, epsilon_transitive(_104877)], (388 ^ _102652) ^ [] : [-(ordinal(380 ^ []))], (219 ^ _102652) ^ [] : [-(function(213 ^ []))], (390 ^ _102652) ^ [_114975] : [-(empty(_114975)), 394 ^ _102652 : [(397 ^ _102652) ^ [] : [empty(393 ^ [_114975])], (395 ^ _102652) ^ [] : [-(element(393 ^ [_114975], powerset(_114975)))]]], (244 ^ _102652) ^ [_110415, _110417] : [-(relation(set_difference(_110417, _110415))), relation(_110417), relation(_110415)], (384 ^ _102652) ^ [] : [-(epsilon_transitive(380 ^ []))], (2 ^ _102652) ^ [_102776] : [-(_102776 = _102776)], (201 ^ _102652) ^ [] : [-(empty(193 ^ []))], (150 ^ _102652) ^ [_107413, _107415, _107417, _107419] : [-(set_difference(_107419, _107415) = set_difference(_107417, _107413)), _107419 = _107417, _107415 = _107413], (260 ^ _102652) ^ [] : [empty(258 ^ [])], (203 ^ _102652) ^ [] : [-(epsilon_transitive(193 ^ []))], (138 ^ _102652) ^ [_106949, _106951] : [_106951 = _106949, -(succ(_106951) = succ(_106949))], (175 ^ _102652) ^ [_108308] : [-(one_to_one(165 ^ [_108308]))], (450 ^ _102652) ^ [_116638] : [ordinal(_116638), 453 ^ _102652 : [(454 ^ _102652) ^ [_116778] : [element(_116778, _116638), 457 ^ _102652 : [(462 ^ _102652) ^ [] : [-(ordinal(_116778))], (460 ^ _102652) ^ [] : [-(epsilon_connected(_116778))], (458 ^ _102652) ^ [] : [-(epsilon_transitive(_116778))]]]]], (4 ^ _102652) ^ [_102883, _102885] : [_102885 = _102883, -(_102883 = _102885)], (183 ^ _102652) ^ [_108580] : [-(natural(165 ^ [_108580]))], (177 ^ _102652) ^ [_108376] : [-(epsilon_transitive(165 ^ [_108376]))], (486 ^ _102652) ^ [_117857] : [empty(powerset(_117857))], (20 ^ _102652) ^ [_103400, _103402] : [-(one_to_one(_103400)), _103402 = _103400, one_to_one(_103402)], (369 ^ _102652) ^ [] : [-(ordinal(363 ^ []))], (60 ^ _102652) ^ [_104580, _104582] : [-(finite(_104580)), _104582 = _104580, finite(_104582)]], input).
% 44.09/43.76  ncf('1',plain,[576 : -(in(574 ^ [518 ^ [552 ^ [], 551 ^ []]], 552 ^ [])), 561 : -(in(557 ^ [518 ^ [552 ^ [], 551 ^ []]], 518 ^ [552 ^ [], 551 ^ []]))],start(559 ^ 0,bind([[_121451], [518 ^ [552 ^ [], 551 ^ []]]]))).
% 44.09/43.76  ncf('1.1',plain,[in(574 ^ [518 ^ [552 ^ [], 551 ^ []]], 552 ^ []), 544 : 557 ^ [518 ^ [552 ^ [], 551 ^ []]] = set_difference(574 ^ [518 ^ [552 ^ [], 551 ^ []]], singleton(551 ^ [])), 544 : in(557 ^ [518 ^ [552 ^ [], 551 ^ []]], powerset(551 ^ [])), 544 : 557 ^ [518 ^ [552 ^ [], 551 ^ []]] = 557 ^ [518 ^ [552 ^ [], 551 ^ []]], 536 : -(in(557 ^ [518 ^ [552 ^ [], 551 ^ []]], 518 ^ [552 ^ [], 551 ^ []])), 534 : ordinal(551 ^ []), 534 : element(552 ^ [], powerset(powerset(succ(551 ^ [])))), 510 : -(499 ^ [552 ^ [], 551 ^ []] = 501 ^ [552 ^ [], 551 ^ []])],extension(490 ^ 3,bind([[_118023, _118025, _120196, _120325, _120578], [552 ^ [], 551 ^ [], 557 ^ [518 ^ [552 ^ [], 551 ^ []]], 557 ^ [518 ^ [552 ^ [], 551 ^ []]], 574 ^ [518 ^ [552 ^ [], 551 ^ []]]]]))).
% 44.09/43.76  ncf('1.1.1',plain,[-(557 ^ [518 ^ [552 ^ [], 551 ^ []]] = set_difference(574 ^ [518 ^ [552 ^ [], 551 ^ []]], singleton(551 ^ [])))],extension(578 ^ 10)).
% 44.09/43.76  ncf('1.1.2',plain,[-(in(557 ^ [518 ^ [552 ^ [], 551 ^ []]], powerset(551 ^ [])))],extension(573 ^ 8)).
% 44.09/43.76  ncf('1.1.3',plain,[-(557 ^ [518 ^ [552 ^ [], 551 ^ []]] = 557 ^ [518 ^ [552 ^ [], 551 ^ []]]), 557 ^ [518 ^ [552 ^ [], 551 ^ []]] = set_difference(574 ^ [518 ^ [552 ^ [], 551 ^ []]], singleton(551 ^ [])), set_difference(574 ^ [518 ^ [552 ^ [], 551 ^ []]], singleton(551 ^ [])) = 557 ^ [518 ^ [552 ^ [], 551 ^ []]]],extension(10 ^ 8,bind([[_103087, _103089, _103091], [557 ^ [518 ^ [552 ^ [], 551 ^ []]], set_difference(574 ^ [518 ^ [552 ^ [], 551 ^ []]], singleton(551 ^ [])), 557 ^ [518 ^ [552 ^ [], 551 ^ []]]]]))).
% 44.09/43.76  ncf('1.1.3.1',plain,[-(557 ^ [518 ^ [552 ^ [], 551 ^ []]] = set_difference(574 ^ [518 ^ [552 ^ [], 551 ^ []]], singleton(551 ^ [])))],extension(578 ^ 9)).
% 44.09/43.76  ncf('1.1.3.2',plain,[-(set_difference(574 ^ [518 ^ [552 ^ [], 551 ^ []]], singleton(551 ^ [])) = 557 ^ [518 ^ [552 ^ [], 551 ^ []]]), 557 ^ [518 ^ [552 ^ [], 551 ^ []]] = set_difference(574 ^ [518 ^ [552 ^ [], 551 ^ []]], singleton(551 ^ []))],extension(4 ^ 9,bind([[_102883, _102885], [set_difference(574 ^ [518 ^ [552 ^ [], 551 ^ []]], singleton(551 ^ [])), 557 ^ [518 ^ [552 ^ [], 551 ^ []]]]]))).
% 44.09/43.76  ncf('1.1.3.2.1',plain,[-(557 ^ [518 ^ [552 ^ [], 551 ^ []]] = set_difference(574 ^ [518 ^ [552 ^ [], 551 ^ []]], singleton(551 ^ [])))],lemmata('[1, 1].x')).
% 44.09/43.76  ncf('1.1.4',plain,[in(557 ^ [518 ^ [552 ^ [], 551 ^ []]], 518 ^ [552 ^ [], 551 ^ []])],extension(580 ^ 6)).
% 44.09/43.76  ncf('1.1.5',plain,[-(ordinal(551 ^ []))],extension(554 ^ 4)).
% 44.09/43.76  ncf('1.1.6',plain,[-(element(552 ^ [], powerset(powerset(succ(551 ^ [])))))],extension(556 ^ 4)).
% 44.09/43.76  ncf('1.1.7',plain,[499 ^ [552 ^ [], 551 ^ []] = 501 ^ [552 ^ [], 551 ^ []], -(500 ^ [552 ^ [], 551 ^ []] = 501 ^ [552 ^ [], 551 ^ []]), 500 ^ [552 ^ [], 551 ^ []] = 499 ^ [552 ^ [], 551 ^ []]],extension(10 ^ 6,bind([[_103087, _103089, _103091], [501 ^ [552 ^ [], 551 ^ []], 499 ^ [552 ^ [], 551 ^ []], 500 ^ [552 ^ [], 551 ^ []]]]))).
% 44.09/43.76  ncf('1.1.7.1',plain,[500 ^ [552 ^ [], 551 ^ []] = 501 ^ [552 ^ [], 551 ^ []]],extension(517 ^ 7)).
% 44.09/43.76  ncf('1.1.7.2',plain,[-(500 ^ [552 ^ [], 551 ^ []] = 499 ^ [552 ^ [], 551 ^ []]), 499 ^ [552 ^ [], 551 ^ []] = 500 ^ [552 ^ [], 551 ^ []]],extension(4 ^ 7,bind([[_102883, _102885], [500 ^ [552 ^ [], 551 ^ []], 499 ^ [552 ^ [], 551 ^ []]]]))).
% 44.09/43.76  ncf('1.1.7.2.1',plain,[-(499 ^ [552 ^ [], 551 ^ []] = 500 ^ [552 ^ [], 551 ^ []])],extension(503 ^ 8)).
% 44.09/43.76  ncf('1.2',plain,[in(557 ^ [518 ^ [552 ^ [], 551 ^ []]], 518 ^ [552 ^ [], 551 ^ []]), 525 : -(in(523 ^ [552 ^ [], 551 ^ [], 557 ^ [518 ^ [552 ^ [], 551 ^ []]]], powerset(551 ^ []))), 520 : ordinal(551 ^ []), 520 : element(552 ^ [], powerset(powerset(succ(551 ^ [])))), 510 : -(499 ^ [552 ^ [], 551 ^ []] = 501 ^ [552 ^ [], 551 ^ []])],extension(490 ^ 3,bind([[_118023, _118025, _119582], [552 ^ [], 551 ^ [], 557 ^ [518 ^ [552 ^ [], 551 ^ []]]]]))).
% 44.09/43.76  ncf('1.2.1',plain,[in(523 ^ [552 ^ [], 551 ^ [], 557 ^ [518 ^ [552 ^ [], 551 ^ []]]], powerset(551 ^ [])), -(in(557 ^ [518 ^ [552 ^ [], 551 ^ []]], powerset(551 ^ []))), 523 ^ [552 ^ [], 551 ^ [], 557 ^ [518 ^ [552 ^ [], 551 ^ []]]] = 557 ^ [518 ^ [552 ^ [], 551 ^ []]], powerset(551 ^ []) = powerset(551 ^ [])],extension(124 ^ 8,bind([[_106507, _106509, _106511, _106513], [powerset(551 ^ []), powerset(551 ^ []), 557 ^ [518 ^ [552 ^ [], 551 ^ []]], 523 ^ [552 ^ [], 551 ^ [], 557 ^ [518 ^ [552 ^ [], 551 ^ []]]]]]))).
% 44.09/43.76  ncf('1.2.1.1',plain,[in(557 ^ [518 ^ [552 ^ [], 551 ^ []]], powerset(551 ^ [])), 567 : in(528 ^ [552 ^ [], 551 ^ [], 557 ^ [518 ^ [552 ^ [], 551 ^ []]]], 552 ^ []), 567 : 557 ^ [518 ^ [552 ^ [], 551 ^ []]] = set_difference(528 ^ [552 ^ [], 551 ^ [], 557 ^ [518 ^ [552 ^ [], 551 ^ []]]], singleton(551 ^ []))],extension(563 ^ 9,bind([[_121761], [528 ^ [552 ^ [], 551 ^ [], 557 ^ [518 ^ [552 ^ [], 551 ^ []]]]]]))).
% 44.09/43.76  ncf('1.2.1.1.1',plain,[-(in(528 ^ [552 ^ [], 551 ^ [], 557 ^ [518 ^ [552 ^ [], 551 ^ []]]], 552 ^ []))],extension(530 ^ 12)).
% 44.09/43.76  ncf('1.2.1.1.2',plain,[-(557 ^ [518 ^ [552 ^ [], 551 ^ []]] = set_difference(528 ^ [552 ^ [], 551 ^ [], 557 ^ [518 ^ [552 ^ [], 551 ^ []]]], singleton(551 ^ [])))],extension(532 ^ 12)).
% 44.09/43.76  ncf('1.2.1.2',plain,[-(523 ^ [552 ^ [], 551 ^ [], 557 ^ [518 ^ [552 ^ [], 551 ^ []]]] = 557 ^ [518 ^ [552 ^ [], 551 ^ []]])],extension(527 ^ 9)).
% 44.09/43.76  ncf('1.2.1.3',plain,[-(powerset(551 ^ []) = powerset(551 ^ [])), 551 ^ [] = 551 ^ []],extension(144 ^ 9,bind([[_107167, _107169], [551 ^ [], 551 ^ []]]))).
% 44.09/43.76  ncf('1.2.1.3.1',plain,[-(551 ^ [] = 551 ^ [])],extension(2 ^ 10,bind([[_102776], [551 ^ []]]))).
% 44.09/43.76  ncf('1.2.2',plain,[-(ordinal(551 ^ []))],extension(554 ^ 4)).
% 44.09/43.76  ncf('1.2.3',plain,[-(element(552 ^ [], powerset(powerset(succ(551 ^ [])))))],extension(556 ^ 4)).
% 44.09/43.76  ncf('1.2.4',plain,[499 ^ [552 ^ [], 551 ^ []] = 501 ^ [552 ^ [], 551 ^ []], -(500 ^ [552 ^ [], 551 ^ []] = 501 ^ [552 ^ [], 551 ^ []]), 500 ^ [552 ^ [], 551 ^ []] = 499 ^ [552 ^ [], 551 ^ []]],extension(10 ^ 6,bind([[_103087, _103089, _103091], [501 ^ [552 ^ [], 551 ^ []], 499 ^ [552 ^ [], 551 ^ []], 500 ^ [552 ^ [], 551 ^ []]]]))).
% 44.09/43.76  ncf('1.2.4.1',plain,[500 ^ [552 ^ [], 551 ^ []] = 501 ^ [552 ^ [], 551 ^ []]],extension(517 ^ 7)).
% 44.09/43.76  ncf('1.2.4.2',plain,[-(500 ^ [552 ^ [], 551 ^ []] = 499 ^ [552 ^ [], 551 ^ []]), 499 ^ [552 ^ [], 551 ^ []] = 500 ^ [552 ^ [], 551 ^ []]],extension(4 ^ 7,bind([[_102883, _102885], [500 ^ [552 ^ [], 551 ^ []], 499 ^ [552 ^ [], 551 ^ []]]]))).
% 44.09/43.76  ncf('1.2.4.2.1',plain,[-(499 ^ [552 ^ [], 551 ^ []] = 500 ^ [552 ^ [], 551 ^ []])],extension(503 ^ 8)).
% 44.09/43.76  %-----------------------------------------------------
% 44.09/43.76  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------