%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET804+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n002.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 11:56:27 EDT 2023

% Result   : Theorem 2.15s 2.35s
% Output   : Proof 2.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SET804+4 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.09  % Command  : nanocop.sh %s %d
% 0.09/0.28  % Computer : n002.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 300
% 0.09/0.28  % DateTime : Thu May 18 19:20:19 EDT 2023
% 0.09/0.28  % CPUTime  : 
% 2.15/2.35  
% 2.15/2.35  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 2.15/2.35  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.15/2.35  %-----------------------------------------------------
% 2.15/2.35  ncf(matrix, plain, [(586 ^ _98572) ^ [] : [-(order(583 ^ [], 584 ^ []))], (590 ^ _98572) ^ [] : [-(min(587 ^ [], 583 ^ [], 584 ^ []))], (592 ^ _98572) ^ [] : [-(min(588 ^ [], 583 ^ [], 584 ^ []))], (594 ^ _98572) ^ [] : [587 ^ [] = 588 ^ []], (597 ^ _98572) ^ [] : [-(least(595 ^ [], 583 ^ [], 584 ^ []))], (2 ^ _98572) ^ [_98696] : [-(_98696 = _98696)], (4 ^ _98572) ^ [_98803, _98805] : [_98805 = _98803, -(_98803 = _98805)], (10 ^ _98572) ^ [_99007, _99009, _99011] : [-(_99011 = _99007), _99011 = _99009, _99009 = _99007], (20 ^ _98572) ^ [_99348, _99350, _99352, _99354] : [-(total_order(_99352, _99348)), total_order(_99354, _99350), _99354 = _99352, _99350 = _99348], (34 ^ _98572) ^ [_99820, _99822, _99824, _99826, _99828, _99830] : [-(greatest(_99828, _99824, _99820)), greatest(_99830, _99826, _99822), _99830 = _99828, _99826 = _99824, _99822 = _99820], (52 ^ _98572) ^ [_100429, _100431, _100433, _100435, _100437, _100439] : [-(max(_100437, _100433, _100429)), max(_100439, _100435, _100431), _100439 = _100437, _100435 = _100433, _100431 = _100429], (70 ^ _98572) ^ [_101066, _101068, _101070, _101072, _101074, _101076, _101078, _101080] : [-(least_upper_bound(_101078, _101074, _101070, _101066)), least_upper_bound(_101080, _101076, _101072, _101068), _101080 = _101078, _101076 = _101074, _101072 = _101070, _101068 = _101066], (92 ^ _98572) ^ [_101828, _101830, _101832, _101834, _101836, _101838] : [-(upper_bound(_101836, _101832, _101828)), upper_bound(_101838, _101834, _101830), _101838 = _101836, _101834 = _101832, _101830 = _101828], (110 ^ _98572) ^ [_102465, _102467, _102469, _102471, _102473, _102475, _102477, _102479] : [-(greatest_lower_bound(_102477, _102473, _102469, _102465)), greatest_lower_bound(_102479, _102475, _102471, _102467), _102479 = _102477, _102475 = _102473, _102471 = _102469, _102467 = _102465], (132 ^ _98572) ^ [_103199, _103201, _103203, _103205] : [-(member(_103203, _103199)), member(_103205, _103201), _103205 = _103203, _103201 = _103199], (146 ^ _98572) ^ [_103671, _103673, _103675, _103677, _103679, _103681] : [-(lower_bound(_103679, _103675, _103671)), lower_bound(_103681, _103677, _103673), _103681 = _103679, _103677 = _103675, _103673 = _103671], (164 ^ _98572) ^ [_104280, _104282, _104284, _104286, _104288, _104290] : [-(apply(_104288, _104284, _104280)), apply(_104290, _104286, _104282), _104290 = _104288, _104286 = _104284, _104282 = _104280], (182 ^ _98572) ^ [_104861, _104863, _104865, _104867] : [-(order(_104865, _104861)), order(_104867, _104863), _104867 = _104865, _104863 = _104861], (196 ^ _98572) ^ [_105333, _105335, _105337, _105339, _105341, _105343] : [-(min(_105341, _105337, _105333)), min(_105343, _105339, _105335), _105343 = _105341, _105339 = _105337, _105335 = _105333], (214 ^ _98572) ^ [_105922, _105924, _105926, _105928, _105930, _105932] : [-(least(_105930, _105926, _105922)), least(_105932, _105928, _105924), _105932 = _105930, _105928 = _105926, _105924 = _105922], (282 ^ _98572) ^ [_108132, _108134] : [-(order(_108134, _108132)), 286 ^ _98572 : [(287 ^ _98572) ^ [] : [-(member(285 ^ [_108132, _108134], _108132))], (289 ^ _98572) ^ [] : [apply(_108134, 285 ^ [_108132, _108134], 285 ^ [_108132, _108134])]], 294 ^ _98572 : [(295 ^ _98572) ^ [] : [-(member(292 ^ [_108132, _108134], _108132))], (297 ^ _98572) ^ [] : [-(member(293 ^ [_108132, _108134], _108132))], (299 ^ _98572) ^ [] : [-(apply(_108134, 292 ^ [_108132, _108134], 293 ^ [_108132, _108134]))], (301 ^ _98572) ^ [] : [-(apply(_108134, 293 ^ [_108132, _108134], 292 ^ [_108132, _108134]))], (303 ^ _98572) ^ [] : [292 ^ [_108132, _108134] = 293 ^ [_108132, _108134]]], 307 ^ _98572 : [(308 ^ _98572) ^ [] : [-(member(304 ^ [_108132, _108134], _108132))], (310 ^ _98572) ^ [] : [-(member(305 ^ [_108132, _108134], _108132))], (312 ^ _98572) ^ [] : [-(member(306 ^ [_108132, _108134], _108132))], (314 ^ _98572) ^ [] : [-(apply(_108134, 304 ^ [_108132, _108134], 305 ^ [_108132, _108134]))], (316 ^ _98572) ^ [] : [-(apply(_108134, 305 ^ [_108132, _108134], 306 ^ [_108132, _108134]))], (318 ^ _98572) ^ [] : [apply(_108134, 304 ^ [_108132, _108134], 306 ^ [_108132, _108134])]]], (232 ^ _98572) ^ [_106532, _106534] : [order(_106534, _106532), 235 ^ _98572 : [(236 ^ _98572) ^ [_106786] : [member(_106786, _106532), -(apply(_106534, _106786, _106786))], (242 ^ _98572) ^ [_107008, _107010] : [member(_107010, _106532), member(_107008, _106532), -(_107010 = _107008), apply(_106534, _107010, _107008), apply(_106534, _107008, _107010)], (260 ^ _98572) ^ [_107525, _107527, _107529] : [member(_107529, _106532), member(_107527, _106532), member(_107525, _106532), -(apply(_106534, _107529, _107525)), apply(_106534, _107529, _107527), apply(_106534, _107527, _107525)]]], (342 ^ _98572) ^ [_110653, _110655] : [-(total_order(_110655, _110653)), order(_110655, _110653), 349 ^ _98572 : [(350 ^ _98572) ^ [] : [-(member(347 ^ [_110653, _110655], _110653))], (352 ^ _98572) ^ [] : [-(member(348 ^ [_110653, _110655], _110653))], (354 ^ _98572) ^ [] : [apply(_110655, 347 ^ [_110653, _110655], 348 ^ [_110653, _110655])], (356 ^ _98572) ^ [] : [apply(_110655, 348 ^ [_110653, _110655], 347 ^ [_110653, _110655])]]], (322 ^ _98572) ^ [_110025, _110027] : [total_order(_110027, _110025), 325 ^ _98572 : [(326 ^ _98572) ^ [] : [-(order(_110027, _110025))], (328 ^ _98572) ^ [_110267, _110269] : [member(_110269, _110025), member(_110267, _110025), -(apply(_110027, _110269, _110267)), -(apply(_110027, _110267, _110269))]]], (370 ^ _98572) ^ [_111764, _111766, _111768] : [372 ^ _98572 : [(373 ^ _98572) ^ [] : [-(member(371 ^ [_111764, _111766, _111768], _111766))], (375 ^ _98572) ^ [] : [apply(_111768, 371 ^ [_111764, _111766, _111768], _111764)]], -(upper_bound(_111764, _111768, _111766))], (360 ^ _98572) ^ [_111433, _111435, _111437] : [upper_bound(_111433, _111437, _111435), 363 ^ _98572 : [(364 ^ _98572) ^ [_111577] : [member(_111577, _111435), -(apply(_111437, _111577, _111433))]]], (389 ^ _98572) ^ [_112516, _112518, _112520] : [391 ^ _98572 : [(392 ^ _98572) ^ [] : [-(member(390 ^ [_112516, _112518, _112520], _112518))], (394 ^ _98572) ^ [] : [apply(_112520, _112516, 390 ^ [_112516, _112518, _112520])]], -(lower_bound(_112516, _112520, _112518))], (379 ^ _98572) ^ [_112185, _112187, _112189] : [lower_bound(_112185, _112189, _112187), 382 ^ _98572 : [(383 ^ _98572) ^ [_112329] : [member(_112329, _112187), -(apply(_112189, _112185, _112329))]]], (398 ^ _98572) ^ [_112937, _112939, _112941] : [greatest(_112937, _112941, _112939), 401 ^ _98572 : [(402 ^ _98572) ^ [] : [-(member(_112937, _112939))], (404 ^ _98572) ^ [_113155] : [member(_113155, _112939), -(apply(_112941, _113155, _112937))]]], (410 ^ _98572) ^ [_113344, _113346, _113348] : [-(greatest(_113344, _113348, _113346)), member(_113344, _113346), 416 ^ _98572 : [(417 ^ _98572) ^ [] : [-(member(415 ^ [_113344, _113346, _113348], _113346))], (419 ^ _98572) ^ [] : [apply(_113348, 415 ^ [_113344, _113346, _113348], _113344)]]], (423 ^ _98572) ^ [_113858, _113860, _113862] : [least(_113858, _113862, _113860), 426 ^ _98572 : [(427 ^ _98572) ^ [] : [-(member(_113858, _113860))], (429 ^ _98572) ^ [_114076] : [member(_114076, _113860), -(apply(_113862, _113858, _114076))]]], (435 ^ _98572) ^ [_114265, _114267, _114269] : [-(least(_114265, _114269, _114267)), member(_114265, _114267), 441 ^ _98572 : [(442 ^ _98572) ^ [] : [-(member(440 ^ [_114265, _114267, _114269], _114267))], (444 ^ _98572) ^ [] : [apply(_114269, _114265, 440 ^ [_114265, _114267, _114269])]]], (464 ^ _98572) ^ [_115289, _115291, _115293] : [-(max(_115289, _115293, _115291)), member(_115289, _115291), 470 ^ _98572 : [(471 ^ _98572) ^ [] : [-(member(469 ^ [_115289, _115291, _115293], _115291))], (473 ^ _98572) ^ [] : [-(apply(_115293, _115289, 469 ^ [_115289, _115291, _115293]))], (475 ^ _98572) ^ [] : [_115289 = 469 ^ [_115289, _115291, _115293]]]], (448 ^ _98572) ^ [_114779, _114781, _114783] : [max(_114779, _114783, _114781), 451 ^ _98572 : [(452 ^ _98572) ^ [] : [-(member(_114779, _114781))], (454 ^ _98572) ^ [_115003] : [-(_114779 = _115003), member(_115003, _114781), apply(_114783, _114779, _115003)]]], (495 ^ _98572) ^ [_116406, _116408, _116410] : [-(min(_116406, _116410, _116408)), member(_116406, _116408), 501 ^ _98572 : [(502 ^ _98572) ^ [] : [-(member(500 ^ [_116406, _116408, _116410], _116408))], (504 ^ _98572) ^ [] : [-(apply(_116410, 500 ^ [_116406, _116408, _116410], _116406))], (506 ^ _98572) ^ [] : [_116406 = 500 ^ [_116406, _116408, _116410]]]], (479 ^ _98572) ^ [_115896, _115898, _115900] : [min(_115896, _115900, _115898), 482 ^ _98572 : [(483 ^ _98572) ^ [] : [-(member(_115896, _115898))], (485 ^ _98572) ^ [_116120] : [-(_115896 = _116120), member(_116120, _115898), apply(_115900, _116120, _115896)]]], (510 ^ _98572) ^ [_117027, _117029, _117031, _117033] : [least_upper_bound(_117033, _117031, _117029, _117027), 513 ^ _98572 : [(514 ^ _98572) ^ [] : [-(member(_117033, _117031))], (516 ^ _98572) ^ [] : [-(upper_bound(_117033, _117029, _117031))], (518 ^ _98572) ^ [_117338] : [-(apply(_117029, _117033, _117338)), member(_117338, _117027), upper_bound(_117338, _117029, _117031)]]], (528 ^ _98572) ^ [_117640, _117642, _117644, _117646] : [-(least_upper_bound(_117646, _117644, _117642, _117640)), member(_117646, _117644), upper_bound(_117646, _117642, _117644), 538 ^ _98572 : [(539 ^ _98572) ^ [] : [-(member(537 ^ [_117640, _117642, _117644, _117646], _117640))], (541 ^ _98572) ^ [] : [-(upper_bound(537 ^ [_117640, _117642, _117644, _117646], _117642, _117644))], (543 ^ _98572) ^ [] : [apply(_117642, _117646, 537 ^ [_117640, _117642, _117644, _117646])]]], (547 ^ _98572) ^ [_118369, _118371, _118373, _118375] : [greatest_lower_bound(_118375, _118373, _118371, _118369), 550 ^ _98572 : [(551 ^ _98572) ^ [] : [-(member(_118375, _118373))], (553 ^ _98572) ^ [] : [-(lower_bound(_118375, _118371, _118373))], (555 ^ _98572) ^ [_118680] : [-(apply(_118371, _118680, _118375)), member(_118680, _118369), lower_bound(_118680, _118371, _118373)]]], (565 ^ _98572) ^ [_118982, _118984, _118986, _118988] : [-(greatest_lower_bound(_118988, _118986, _118984, _118982)), member(_118988, _118986), lower_bound(_118988, _118984, _118986), 575 ^ _98572 : [(576 ^ _98572) ^ [] : [-(member(574 ^ [_118982, _118984, _118986, _118988], _118982))], (578 ^ _98572) ^ [] : [-(lower_bound(574 ^ [_118982, _118984, _118986, _118988], _118984, _118986))], (580 ^ _98572) ^ [] : [apply(_118984, 574 ^ [_118982, _118984, _118986, _118988], _118988)]]]], input).
% 2.15/2.35  ncf('1',plain,[587 ^ [] = 588 ^ []],start(594 ^ 0)).
% 2.15/2.35  ncf('1.1',plain,[-(587 ^ [] = 588 ^ []), 242 : member(587 ^ [], 584 ^ []), 242 : member(588 ^ [], 584 ^ []), 242 : apply(583 ^ [], 587 ^ [], 588 ^ []), 242 : apply(583 ^ [], 588 ^ [], 587 ^ []), 242 : order(583 ^ [], 584 ^ [])],extension(232 ^ 1,bind([[_106532, _106534, _107008, _107010], [584 ^ [], 583 ^ [], 588 ^ [], 587 ^ []]]))).
% 2.15/2.35  ncf('1.1.1',plain,[-(member(587 ^ [], 584 ^ [])), member(595 ^ [], 584 ^ []), 595 ^ [] = 587 ^ [], 584 ^ [] = 584 ^ []],extension(132 ^ 4,bind([[_103199, _103201, _103203, _103205], [584 ^ [], 584 ^ [], 587 ^ [], 595 ^ []]]))).
% 2.15/2.35  ncf('1.1.1.1',plain,[-(member(595 ^ [], 584 ^ [])), member(595 ^ [], 584 ^ []), 595 ^ [] = 595 ^ [], 584 ^ [] = 584 ^ []],extension(132 ^ 5,bind([[_103199, _103201, _103203, _103205], [584 ^ [], 584 ^ [], 595 ^ [], 595 ^ []]]))).
% 2.15/2.35  ncf('1.1.1.1.1',plain,[-(member(595 ^ [], 584 ^ [])), member(595 ^ [], 584 ^ []), 595 ^ [] = 595 ^ [], 584 ^ [] = 584 ^ []],extension(132 ^ 6,bind([[_103199, _103201, _103203, _103205], [584 ^ [], 584 ^ [], 595 ^ [], 595 ^ []]]))).
% 2.15/2.35  ncf('1.1.1.1.1.1',plain,[-(member(595 ^ [], 584 ^ [])), member(595 ^ [], 584 ^ []), 595 ^ [] = 595 ^ [], 584 ^ [] = 584 ^ []],extension(132 ^ 7,bind([[_103199, _103201, _103203, _103205], [584 ^ [], 584 ^ [], 595 ^ [], 595 ^ []]]))).
% 2.15/2.35  ncf('1.1.1.1.1.1.1',plain,[-(member(595 ^ [], 584 ^ [])), least(595 ^ [], 583 ^ [], 584 ^ [])],extension(423 ^ 8,bind([[_113858, _113860, _113862], [595 ^ [], 584 ^ [], 583 ^ []]]))).
% 2.15/2.35  ncf('1.1.1.1.1.1.1.1',plain,[-(least(595 ^ [], 583 ^ [], 584 ^ []))],extension(597 ^ 9)).
% 2.15/2.35  ncf('1.1.1.1.1.1.2',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 8,bind([[_98696], [595 ^ []]]))).
% 2.15/2.35  ncf('1.1.1.1.1.1.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 8,bind([[_98696], [584 ^ []]]))).
% 2.15/2.35  ncf('1.1.1.1.1.2',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 7,bind([[_98696], [595 ^ []]]))).
% 2.15/2.35  ncf('1.1.1.1.1.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 7,bind([[_98696], [584 ^ []]]))).
% 2.15/2.35  ncf('1.1.1.1.2',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 6,bind([[_98696], [595 ^ []]]))).
% 2.15/2.35  ncf('1.1.1.1.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 6,bind([[_98696], [584 ^ []]]))).
% 2.15/2.35  ncf('1.1.1.2',plain,[-(595 ^ [] = 587 ^ []), 587 ^ [] = 595 ^ []],extension(4 ^ 5,bind([[_98803, _98805], [595 ^ [], 587 ^ []]]))).
% 2.15/2.35  ncf('1.1.1.2.1',plain,[-(587 ^ [] = 595 ^ []), 485 : member(595 ^ [], 584 ^ []), 485 : apply(583 ^ [], 595 ^ [], 587 ^ []), 485 : min(587 ^ [], 583 ^ [], 584 ^ [])],extension(479 ^ 6,bind([[_115896, _115898, _115900, _116120], [587 ^ [], 584 ^ [], 583 ^ [], 595 ^ []]]))).
% 2.15/2.35  ncf('1.1.1.2.1.1',plain,[-(member(595 ^ [], 584 ^ [])), member(595 ^ [], 584 ^ []), 595 ^ [] = 595 ^ [], 584 ^ [] = 584 ^ []],extension(132 ^ 9,bind([[_103199, _103201, _103203, _103205], [584 ^ [], 584 ^ [], 595 ^ [], 595 ^ []]]))).
% 2.15/2.35  ncf('1.1.1.2.1.1.1',plain,[-(member(595 ^ [], 584 ^ [])), least(595 ^ [], 583 ^ [], 584 ^ [])],extension(423 ^ 10,bind([[_113858, _113860, _113862], [595 ^ [], 584 ^ [], 583 ^ []]]))).
% 2.15/2.35  ncf('1.1.1.2.1.1.1.1',plain,[-(least(595 ^ [], 583 ^ [], 584 ^ []))],extension(597 ^ 11)).
% 2.15/2.35  ncf('1.1.1.2.1.1.2',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 10,bind([[_98696], [595 ^ []]]))).
% 2.15/2.35  ncf('1.1.1.2.1.1.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 10,bind([[_98696], [584 ^ []]]))).
% 2.15/2.35  ncf('1.1.1.2.1.2',plain,[-(apply(583 ^ [], 595 ^ [], 587 ^ [])), 429 : member(587 ^ [], 584 ^ []), 429 : least(595 ^ [], 583 ^ [], 584 ^ [])],extension(423 ^ 9,bind([[_113858, _113860, _113862, _114076], [595 ^ [], 584 ^ [], 583 ^ [], 587 ^ []]]))).
% 2.15/2.35  ncf('1.1.1.2.1.2.1',plain,[-(member(587 ^ [], 584 ^ []))],extension(483 ^ 12)).
% 2.15/2.35  ncf('1.1.1.2.1.2.2',plain,[-(least(595 ^ [], 583 ^ [], 584 ^ []))],extension(597 ^ 10)).
% 2.15/2.35  ncf('1.1.1.2.1.3',plain,[-(min(587 ^ [], 583 ^ [], 584 ^ []))],extension(590 ^ 7)).
% 2.15/2.35  ncf('1.1.1.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 5,bind([[_98696], [584 ^ []]]))).
% 2.15/2.35  ncf('1.1.2',plain,[-(member(588 ^ [], 584 ^ [])), member(595 ^ [], 584 ^ []), 595 ^ [] = 588 ^ [], 584 ^ [] = 584 ^ []],extension(132 ^ 4,bind([[_103199, _103201, _103203, _103205], [584 ^ [], 584 ^ [], 588 ^ [], 595 ^ []]]))).
% 2.15/2.35  ncf('1.1.2.1',plain,[-(member(595 ^ [], 584 ^ [])), member(595 ^ [], 584 ^ []), 595 ^ [] = 595 ^ [], 584 ^ [] = 584 ^ []],extension(132 ^ 5,bind([[_103199, _103201, _103203, _103205], [584 ^ [], 584 ^ [], 595 ^ [], 595 ^ []]]))).
% 2.15/2.35  ncf('1.1.2.1.1',plain,[-(member(595 ^ [], 584 ^ [])), member(595 ^ [], 584 ^ []), 595 ^ [] = 595 ^ [], 584 ^ [] = 584 ^ []],extension(132 ^ 6,bind([[_103199, _103201, _103203, _103205], [584 ^ [], 584 ^ [], 595 ^ [], 595 ^ []]]))).
% 2.15/2.35  ncf('1.1.2.1.1.1',plain,[-(member(595 ^ [], 584 ^ [])), member(595 ^ [], 584 ^ []), 595 ^ [] = 595 ^ [], 584 ^ [] = 584 ^ []],extension(132 ^ 7,bind([[_103199, _103201, _103203, _103205], [584 ^ [], 584 ^ [], 595 ^ [], 595 ^ []]]))).
% 2.15/2.35  ncf('1.1.2.1.1.1.1',plain,[-(member(595 ^ [], 584 ^ [])), least(595 ^ [], 583 ^ [], 584 ^ [])],extension(423 ^ 8,bind([[_113858, _113860, _113862], [595 ^ [], 584 ^ [], 583 ^ []]]))).
% 2.15/2.35  ncf('1.1.2.1.1.1.1.1',plain,[-(least(595 ^ [], 583 ^ [], 584 ^ []))],extension(597 ^ 9)).
% 2.15/2.35  ncf('1.1.2.1.1.1.2',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 8,bind([[_98696], [595 ^ []]]))).
% 2.15/2.35  ncf('1.1.2.1.1.1.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 8,bind([[_98696], [584 ^ []]]))).
% 2.15/2.35  ncf('1.1.2.1.1.2',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 7,bind([[_98696], [595 ^ []]]))).
% 2.15/2.35  ncf('1.1.2.1.1.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 7,bind([[_98696], [584 ^ []]]))).
% 2.15/2.35  ncf('1.1.2.1.2',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 6,bind([[_98696], [595 ^ []]]))).
% 2.15/2.35  ncf('1.1.2.1.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 6,bind([[_98696], [584 ^ []]]))).
% 2.15/2.35  ncf('1.1.2.2',plain,[-(595 ^ [] = 588 ^ []), 588 ^ [] = 595 ^ []],extension(4 ^ 5,bind([[_98803, _98805], [595 ^ [], 588 ^ []]]))).
% 2.15/2.35  ncf('1.1.2.2.1',plain,[-(588 ^ [] = 595 ^ []), 485 : member(595 ^ [], 584 ^ []), 485 : apply(583 ^ [], 595 ^ [], 588 ^ []), 485 : min(588 ^ [], 583 ^ [], 584 ^ [])],extension(479 ^ 6,bind([[_115896, _115898, _115900, _116120], [588 ^ [], 584 ^ [], 583 ^ [], 595 ^ []]]))).
% 2.15/2.35  ncf('1.1.2.2.1.1',plain,[-(member(595 ^ [], 584 ^ [])), member(595 ^ [], 584 ^ []), 595 ^ [] = 595 ^ [], 584 ^ [] = 584 ^ []],extension(132 ^ 9,bind([[_103199, _103201, _103203, _103205], [584 ^ [], 584 ^ [], 595 ^ [], 595 ^ []]]))).
% 2.15/2.35  ncf('1.1.2.2.1.1.1',plain,[-(member(595 ^ [], 584 ^ [])), least(595 ^ [], 583 ^ [], 584 ^ [])],extension(423 ^ 10,bind([[_113858, _113860, _113862], [595 ^ [], 584 ^ [], 583 ^ []]]))).
% 2.15/2.35  ncf('1.1.2.2.1.1.1.1',plain,[-(least(595 ^ [], 583 ^ [], 584 ^ []))],extension(597 ^ 11)).
% 2.15/2.35  ncf('1.1.2.2.1.1.2',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 10,bind([[_98696], [595 ^ []]]))).
% 2.15/2.35  ncf('1.1.2.2.1.1.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 10,bind([[_98696], [584 ^ []]]))).
% 2.15/2.35  ncf('1.1.2.2.1.2',plain,[-(apply(583 ^ [], 595 ^ [], 588 ^ [])), 429 : member(588 ^ [], 584 ^ []), 429 : least(595 ^ [], 583 ^ [], 584 ^ [])],extension(423 ^ 9,bind([[_113858, _113860, _113862, _114076], [595 ^ [], 584 ^ [], 583 ^ [], 588 ^ []]]))).
% 2.15/2.35  ncf('1.1.2.2.1.2.1',plain,[-(member(588 ^ [], 584 ^ []))],extension(483 ^ 12)).
% 2.15/2.35  ncf('1.1.2.2.1.2.2',plain,[-(least(595 ^ [], 583 ^ [], 584 ^ []))],extension(597 ^ 10)).
% 2.15/2.35  ncf('1.1.2.2.1.3',plain,[-(min(588 ^ [], 583 ^ [], 584 ^ []))],extension(592 ^ 7)).
% 2.15/2.35  ncf('1.1.2.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 5,bind([[_98696], [584 ^ []]]))).
% 2.15/2.35  ncf('1.1.3',plain,[-(apply(583 ^ [], 587 ^ [], 588 ^ [])), apply(583 ^ [], 595 ^ [], 595 ^ []), 583 ^ [] = 583 ^ [], 595 ^ [] = 587 ^ [], 595 ^ [] = 588 ^ []],extension(164 ^ 4,bind([[_104280, _104282, _104284, _104286, _104288, _104290], [588 ^ [], 595 ^ [], 587 ^ [], 595 ^ [], 583 ^ [], 583 ^ []]]))).
% 2.15/2.35  ncf('1.1.3.1',plain,[-(apply(583 ^ [], 595 ^ [], 595 ^ [])), apply(583 ^ [], 595 ^ [], 595 ^ []), 583 ^ [] = 583 ^ [], 595 ^ [] = 595 ^ [], 595 ^ [] = 595 ^ []],extension(164 ^ 5,bind([[_104280, _104282, _104284, _104286, _104288, _104290], [595 ^ [], 595 ^ [], 595 ^ [], 595 ^ [], 583 ^ [], 583 ^ []]]))).
% 2.15/2.35  ncf('1.1.3.1.1',plain,[-(apply(583 ^ [], 595 ^ [], 595 ^ [])), apply(583 ^ [], 595 ^ [], 595 ^ []), 583 ^ [] = 583 ^ [], 595 ^ [] = 595 ^ [], 595 ^ [] = 595 ^ []],extension(164 ^ 6,bind([[_104280, _104282, _104284, _104286, _104288, _104290], [595 ^ [], 595 ^ [], 595 ^ [], 595 ^ [], 583 ^ [], 583 ^ []]]))).
% 2.15/2.35  ncf('1.1.3.1.1.1',plain,[-(apply(583 ^ [], 595 ^ [], 595 ^ [])), member(595 ^ [], 584 ^ [])],extension(236 ^ 7,bind([[_106786], [595 ^ []]]))).
% 2.15/2.35  ncf('1.1.3.1.1.1.1',plain,[-(member(595 ^ [], 584 ^ [])), least(595 ^ [], 583 ^ [], 584 ^ [])],extension(423 ^ 8,bind([[_113858, _113860, _113862], [595 ^ [], 584 ^ [], 583 ^ []]]))).
% 2.15/2.35  ncf('1.1.3.1.1.1.1.1',plain,[-(least(595 ^ [], 583 ^ [], 584 ^ []))],extension(597 ^ 9)).
% 2.15/2.35  ncf('1.1.3.1.1.2',plain,[-(583 ^ [] = 583 ^ [])],extension(2 ^ 7,bind([[_98696], [583 ^ []]]))).
% 2.15/2.35  ncf('1.1.3.1.1.3',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 7,bind([[_98696], [595 ^ []]]))).
% 2.15/2.35  ncf('1.1.3.1.1.4',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 7,bind([[_98696], [595 ^ []]]))).
% 2.15/2.35  ncf('1.1.3.1.2',plain,[-(583 ^ [] = 583 ^ [])],extension(2 ^ 6,bind([[_98696], [583 ^ []]]))).
% 2.15/2.35  ncf('1.1.3.1.3',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 6,bind([[_98696], [595 ^ []]]))).
% 2.15/2.35  ncf('1.1.3.1.4',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 6,bind([[_98696], [595 ^ []]]))).
% 2.15/2.35  ncf('1.1.3.2',plain,[-(583 ^ [] = 583 ^ [])],extension(2 ^ 5,bind([[_98696], [583 ^ []]]))).
% 2.15/2.35  ncf('1.1.3.3',plain,[-(595 ^ [] = 587 ^ []), 587 ^ [] = 595 ^ []],extension(4 ^ 5,bind([[_98803, _98805], [595 ^ [], 587 ^ []]]))).
% 2.15/2.35  ncf('1.1.3.3.1',plain,[-(587 ^ [] = 595 ^ []), 485 : member(595 ^ [], 584 ^ []), 485 : apply(583 ^ [], 595 ^ [], 587 ^ []), 485 : min(587 ^ [], 583 ^ [], 584 ^ [])],extension(479 ^ 6,bind([[_115896, _115898, _115900, _116120], [587 ^ [], 584 ^ [], 583 ^ [], 595 ^ []]]))).
% 2.15/2.35  ncf('1.1.3.3.1.1',plain,[-(member(595 ^ [], 584 ^ [])), member(595 ^ [], 584 ^ []), 595 ^ [] = 595 ^ [], 584 ^ [] = 584 ^ []],extension(132 ^ 9,bind([[_103199, _103201, _103203, _103205], [584 ^ [], 584 ^ [], 595 ^ [], 595 ^ []]]))).
% 2.15/2.35  ncf('1.1.3.3.1.1.1',plain,[-(member(595 ^ [], 584 ^ [])), least(595 ^ [], 583 ^ [], 584 ^ [])],extension(423 ^ 10,bind([[_113858, _113860, _113862], [595 ^ [], 584 ^ [], 583 ^ []]]))).
% 2.15/2.35  ncf('1.1.3.3.1.1.1.1',plain,[-(least(595 ^ [], 583 ^ [], 584 ^ []))],extension(597 ^ 11)).
% 2.15/2.35  ncf('1.1.3.3.1.1.2',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 10,bind([[_98696], [595 ^ []]]))).
% 2.15/2.35  ncf('1.1.3.3.1.1.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 10,bind([[_98696], [584 ^ []]]))).
% 2.15/2.35  ncf('1.1.3.3.1.2',plain,[-(apply(583 ^ [], 595 ^ [], 587 ^ [])), 429 : member(587 ^ [], 584 ^ []), 429 : least(595 ^ [], 583 ^ [], 584 ^ [])],extension(423 ^ 9,bind([[_113858, _113860, _113862, _114076], [595 ^ [], 584 ^ [], 583 ^ [], 587 ^ []]]))).
% 2.15/2.35  ncf('1.1.3.3.1.2.1',plain,[-(member(587 ^ [], 584 ^ []))],extension(483 ^ 12)).
% 2.15/2.35  ncf('1.1.3.3.1.2.2',plain,[-(least(595 ^ [], 583 ^ [], 584 ^ []))],extension(597 ^ 10)).
% 2.15/2.35  ncf('1.1.3.3.1.3',plain,[-(min(587 ^ [], 583 ^ [], 584 ^ []))],extension(590 ^ 7)).
% 2.15/2.35  ncf('1.1.3.4',plain,[-(595 ^ [] = 588 ^ []), 588 ^ [] = 595 ^ []],extension(4 ^ 5,bind([[_98803, _98805], [595 ^ [], 588 ^ []]]))).
% 2.15/2.35  ncf('1.1.3.4.1',plain,[-(588 ^ [] = 595 ^ []), 485 : member(595 ^ [], 584 ^ []), 485 : apply(583 ^ [], 595 ^ [], 588 ^ []), 485 : min(588 ^ [], 583 ^ [], 584 ^ [])],extension(479 ^ 6,bind([[_115896, _115898, _115900, _116120], [588 ^ [], 584 ^ [], 583 ^ [], 595 ^ []]]))).
% 2.15/2.35  ncf('1.1.3.4.1.1',plain,[-(member(595 ^ [], 584 ^ [])), member(595 ^ [], 584 ^ []), 595 ^ [] = 595 ^ [], 584 ^ [] = 584 ^ []],extension(132 ^ 9,bind([[_103199, _103201, _103203, _103205], [584 ^ [], 584 ^ [], 595 ^ [], 595 ^ []]]))).
% 2.15/2.35  ncf('1.1.3.4.1.1.1',plain,[-(member(595 ^ [], 584 ^ [])), least(595 ^ [], 583 ^ [], 584 ^ [])],extension(423 ^ 10,bind([[_113858, _113860, _113862], [595 ^ [], 584 ^ [], 583 ^ []]]))).
% 2.15/2.35  ncf('1.1.3.4.1.1.1.1',plain,[-(least(595 ^ [], 583 ^ [], 584 ^ []))],extension(597 ^ 11)).
% 2.15/2.35  ncf('1.1.3.4.1.1.2',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 10,bind([[_98696], [595 ^ []]]))).
% 2.15/2.35  ncf('1.1.3.4.1.1.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 10,bind([[_98696], [584 ^ []]]))).
% 2.15/2.35  ncf('1.1.3.4.1.2',plain,[-(apply(583 ^ [], 595 ^ [], 588 ^ [])), 429 : member(588 ^ [], 584 ^ []), 429 : least(595 ^ [], 583 ^ [], 584 ^ [])],extension(423 ^ 9,bind([[_113858, _113860, _113862, _114076], [595 ^ [], 584 ^ [], 583 ^ [], 588 ^ []]]))).
% 2.15/2.35  ncf('1.1.3.4.1.2.1',plain,[-(member(588 ^ [], 584 ^ []))],extension(483 ^ 12)).
% 2.15/2.35  ncf('1.1.3.4.1.2.2',plain,[-(least(595 ^ [], 583 ^ [], 584 ^ []))],extension(597 ^ 10)).
% 2.15/2.35  ncf('1.1.3.4.1.3',plain,[-(min(588 ^ [], 583 ^ [], 584 ^ []))],extension(592 ^ 7)).
% 2.15/2.35  ncf('1.1.4',plain,[-(apply(583 ^ [], 588 ^ [], 587 ^ [])), apply(583 ^ [], 595 ^ [], 595 ^ []), 583 ^ [] = 583 ^ [], 595 ^ [] = 588 ^ [], 595 ^ [] = 587 ^ []],extension(164 ^ 4,bind([[_104280, _104282, _104284, _104286, _104288, _104290], [587 ^ [], 595 ^ [], 588 ^ [], 595 ^ [], 583 ^ [], 583 ^ []]]))).
% 2.15/2.35  ncf('1.1.4.1',plain,[-(apply(583 ^ [], 595 ^ [], 595 ^ [])), apply(583 ^ [], 595 ^ [], 595 ^ []), 583 ^ [] = 583 ^ [], 595 ^ [] = 595 ^ [], 595 ^ [] = 595 ^ []],extension(164 ^ 5,bind([[_104280, _104282, _104284, _104286, _104288, _104290], [595 ^ [], 595 ^ [], 595 ^ [], 595 ^ [], 583 ^ [], 583 ^ []]]))).
% 2.15/2.35  ncf('1.1.4.1.1',plain,[-(apply(583 ^ [], 595 ^ [], 595 ^ [])), apply(583 ^ [], 595 ^ [], 595 ^ []), 583 ^ [] = 583 ^ [], 595 ^ [] = 595 ^ [], 595 ^ [] = 595 ^ []],extension(164 ^ 6,bind([[_104280, _104282, _104284, _104286, _104288, _104290], [595 ^ [], 595 ^ [], 595 ^ [], 595 ^ [], 583 ^ [], 583 ^ []]]))).
% 2.15/2.35  ncf('1.1.4.1.1.1',plain,[-(apply(583 ^ [], 595 ^ [], 595 ^ [])), member(595 ^ [], 584 ^ [])],extension(236 ^ 7,bind([[_106786], [595 ^ []]]))).
% 2.15/2.35  ncf('1.1.4.1.1.1.1',plain,[-(member(595 ^ [], 584 ^ [])), least(595 ^ [], 583 ^ [], 584 ^ [])],extension(423 ^ 8,bind([[_113858, _113860, _113862], [595 ^ [], 584 ^ [], 583 ^ []]]))).
% 2.15/2.35  ncf('1.1.4.1.1.1.1.1',plain,[-(least(595 ^ [], 583 ^ [], 584 ^ []))],extension(597 ^ 9)).
% 2.15/2.35  ncf('1.1.4.1.1.2',plain,[-(583 ^ [] = 583 ^ [])],extension(2 ^ 7,bind([[_98696], [583 ^ []]]))).
% 2.15/2.35  ncf('1.1.4.1.1.3',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 7,bind([[_98696], [595 ^ []]]))).
% 2.15/2.35  ncf('1.1.4.1.1.4',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 7,bind([[_98696], [595 ^ []]]))).
% 2.15/2.35  ncf('1.1.4.1.2',plain,[-(583 ^ [] = 583 ^ [])],extension(2 ^ 6,bind([[_98696], [583 ^ []]]))).
% 2.15/2.35  ncf('1.1.4.1.3',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 6,bind([[_98696], [595 ^ []]]))).
% 2.15/2.35  ncf('1.1.4.1.4',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 6,bind([[_98696], [595 ^ []]]))).
% 2.15/2.35  ncf('1.1.4.2',plain,[-(583 ^ [] = 583 ^ [])],extension(2 ^ 5,bind([[_98696], [583 ^ []]]))).
% 2.15/2.35  ncf('1.1.4.3',plain,[-(595 ^ [] = 588 ^ []), 588 ^ [] = 595 ^ []],extension(4 ^ 5,bind([[_98803, _98805], [595 ^ [], 588 ^ []]]))).
% 2.15/2.35  ncf('1.1.4.3.1',plain,[-(588 ^ [] = 595 ^ []), 485 : member(595 ^ [], 584 ^ []), 485 : apply(583 ^ [], 595 ^ [], 588 ^ []), 485 : min(588 ^ [], 583 ^ [], 584 ^ [])],extension(479 ^ 6,bind([[_115896, _115898, _115900, _116120], [588 ^ [], 584 ^ [], 583 ^ [], 595 ^ []]]))).
% 2.15/2.35  ncf('1.1.4.3.1.1',plain,[-(member(595 ^ [], 584 ^ [])), member(595 ^ [], 584 ^ []), 595 ^ [] = 595 ^ [], 584 ^ [] = 584 ^ []],extension(132 ^ 9,bind([[_103199, _103201, _103203, _103205], [584 ^ [], 584 ^ [], 595 ^ [], 595 ^ []]]))).
% 2.15/2.35  ncf('1.1.4.3.1.1.1',plain,[-(member(595 ^ [], 584 ^ [])), least(595 ^ [], 583 ^ [], 584 ^ [])],extension(423 ^ 10,bind([[_113858, _113860, _113862], [595 ^ [], 584 ^ [], 583 ^ []]]))).
% 2.15/2.35  ncf('1.1.4.3.1.1.1.1',plain,[-(least(595 ^ [], 583 ^ [], 584 ^ []))],extension(597 ^ 11)).
% 2.15/2.35  ncf('1.1.4.3.1.1.2',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 10,bind([[_98696], [595 ^ []]]))).
% 2.15/2.35  ncf('1.1.4.3.1.1.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 10,bind([[_98696], [584 ^ []]]))).
% 2.15/2.35  ncf('1.1.4.3.1.2',plain,[-(apply(583 ^ [], 595 ^ [], 588 ^ [])), 429 : member(588 ^ [], 584 ^ []), 429 : least(595 ^ [], 583 ^ [], 584 ^ [])],extension(423 ^ 9,bind([[_113858, _113860, _113862, _114076], [595 ^ [], 584 ^ [], 583 ^ [], 588 ^ []]]))).
% 2.15/2.35  ncf('1.1.4.3.1.2.1',plain,[-(member(588 ^ [], 584 ^ []))],extension(483 ^ 12)).
% 2.15/2.35  ncf('1.1.4.3.1.2.2',plain,[-(least(595 ^ [], 583 ^ [], 584 ^ []))],extension(597 ^ 10)).
% 2.15/2.35  ncf('1.1.4.3.1.3',plain,[-(min(588 ^ [], 583 ^ [], 584 ^ []))],extension(592 ^ 7)).
% 2.15/2.35  ncf('1.1.4.4',plain,[-(595 ^ [] = 587 ^ []), 587 ^ [] = 595 ^ []],extension(4 ^ 5,bind([[_98803, _98805], [595 ^ [], 587 ^ []]]))).
% 2.15/2.35  ncf('1.1.4.4.1',plain,[-(587 ^ [] = 595 ^ []), 485 : member(595 ^ [], 584 ^ []), 485 : apply(583 ^ [], 595 ^ [], 587 ^ []), 485 : min(587 ^ [], 583 ^ [], 584 ^ [])],extension(479 ^ 6,bind([[_115896, _115898, _115900, _116120], [587 ^ [], 584 ^ [], 583 ^ [], 595 ^ []]]))).
% 2.15/2.35  ncf('1.1.4.4.1.1',plain,[-(member(595 ^ [], 584 ^ [])), member(595 ^ [], 584 ^ []), 595 ^ [] = 595 ^ [], 584 ^ [] = 584 ^ []],extension(132 ^ 9,bind([[_103199, _103201, _103203, _103205], [584 ^ [], 584 ^ [], 595 ^ [], 595 ^ []]]))).
% 2.15/2.35  ncf('1.1.4.4.1.1.1',plain,[-(member(595 ^ [], 584 ^ [])), least(595 ^ [], 583 ^ [], 584 ^ [])],extension(423 ^ 10,bind([[_113858, _113860, _113862], [595 ^ [], 584 ^ [], 583 ^ []]]))).
% 2.15/2.35  ncf('1.1.4.4.1.1.1.1',plain,[-(least(595 ^ [], 583 ^ [], 584 ^ []))],extension(597 ^ 11)).
% 2.15/2.35  ncf('1.1.4.4.1.1.2',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 10,bind([[_98696], [595 ^ []]]))).
% 2.15/2.35  ncf('1.1.4.4.1.1.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 10,bind([[_98696], [584 ^ []]]))).
% 2.15/2.35  ncf('1.1.4.4.1.2',plain,[-(apply(583 ^ [], 595 ^ [], 587 ^ [])), 429 : member(587 ^ [], 584 ^ []), 429 : least(595 ^ [], 583 ^ [], 584 ^ [])],extension(423 ^ 9,bind([[_113858, _113860, _113862, _114076], [595 ^ [], 584 ^ [], 583 ^ [], 587 ^ []]]))).
% 2.15/2.35  ncf('1.1.4.4.1.2.1',plain,[-(member(587 ^ [], 584 ^ []))],extension(483 ^ 12)).
% 2.15/2.35  ncf('1.1.4.4.1.2.2',plain,[-(least(595 ^ [], 583 ^ [], 584 ^ []))],extension(597 ^ 10)).
% 2.15/2.35  ncf('1.1.4.4.1.3',plain,[-(min(587 ^ [], 583 ^ [], 584 ^ []))],extension(590 ^ 7)).
% 2.15/2.35  ncf('1.1.5',plain,[-(order(583 ^ [], 584 ^ []))],extension(586 ^ 2)).
% 2.15/2.35  %-----------------------------------------------------
% 2.15/2.35  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------