%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET803+4 : TPTP v8.1.2. Released v3.2.0.
% 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 11:56:27 EDT 2023

% Result   : Theorem 2.41s 3.46s
% Output   : Proof 2.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET803+4 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n029.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 19:32:13 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 2.41/3.46  
% 2.41/3.46  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 2.41/3.46  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.41/3.46  %-----------------------------------------------------
% 2.41/3.46  ncf(matrix, plain, [(586 ^ _98348) ^ [] : [-(order(583 ^ [], 584 ^ []))], (590 ^ _98348) ^ [] : [-(max(587 ^ [], 583 ^ [], 584 ^ []))], (592 ^ _98348) ^ [] : [-(max(588 ^ [], 583 ^ [], 584 ^ []))], (594 ^ _98348) ^ [] : [587 ^ [] = 588 ^ []], (597 ^ _98348) ^ [] : [-(greatest(595 ^ [], 583 ^ [], 584 ^ []))], (2 ^ _98348) ^ [_98472] : [-(_98472 = _98472)], (4 ^ _98348) ^ [_98579, _98581] : [_98581 = _98579, -(_98579 = _98581)], (10 ^ _98348) ^ [_98783, _98785, _98787] : [-(_98787 = _98783), _98787 = _98785, _98785 = _98783], (20 ^ _98348) ^ [_99124, _99126, _99128, _99130] : [-(total_order(_99128, _99124)), total_order(_99130, _99126), _99130 = _99128, _99126 = _99124], (34 ^ _98348) ^ [_99596, _99598, _99600, _99602, _99604, _99606] : [-(least(_99604, _99600, _99596)), least(_99606, _99602, _99598), _99606 = _99604, _99602 = _99600, _99598 = _99596], (52 ^ _98348) ^ [_100205, _100207, _100209, _100211, _100213, _100215] : [-(min(_100213, _100209, _100205)), min(_100215, _100211, _100207), _100215 = _100213, _100211 = _100209, _100207 = _100205], (70 ^ _98348) ^ [_100842, _100844, _100846, _100848, _100850, _100852, _100854, _100856] : [-(least_upper_bound(_100854, _100850, _100846, _100842)), least_upper_bound(_100856, _100852, _100848, _100844), _100856 = _100854, _100852 = _100850, _100848 = _100846, _100844 = _100842], (92 ^ _98348) ^ [_101604, _101606, _101608, _101610, _101612, _101614] : [-(upper_bound(_101612, _101608, _101604)), upper_bound(_101614, _101610, _101606), _101614 = _101612, _101610 = _101608, _101606 = _101604], (110 ^ _98348) ^ [_102241, _102243, _102245, _102247, _102249, _102251, _102253, _102255] : [-(greatest_lower_bound(_102253, _102249, _102245, _102241)), greatest_lower_bound(_102255, _102251, _102247, _102243), _102255 = _102253, _102251 = _102249, _102247 = _102245, _102243 = _102241], (132 ^ _98348) ^ [_102975, _102977, _102979, _102981] : [-(member(_102979, _102975)), member(_102981, _102977), _102981 = _102979, _102977 = _102975], (146 ^ _98348) ^ [_103447, _103449, _103451, _103453, _103455, _103457] : [-(lower_bound(_103455, _103451, _103447)), lower_bound(_103457, _103453, _103449), _103457 = _103455, _103453 = _103451, _103449 = _103447], (164 ^ _98348) ^ [_104056, _104058, _104060, _104062, _104064, _104066] : [-(apply(_104064, _104060, _104056)), apply(_104066, _104062, _104058), _104066 = _104064, _104062 = _104060, _104058 = _104056], (182 ^ _98348) ^ [_104637, _104639, _104641, _104643] : [-(order(_104641, _104637)), order(_104643, _104639), _104643 = _104641, _104639 = _104637], (196 ^ _98348) ^ [_105109, _105111, _105113, _105115, _105117, _105119] : [-(max(_105117, _105113, _105109)), max(_105119, _105115, _105111), _105119 = _105117, _105115 = _105113, _105111 = _105109], (214 ^ _98348) ^ [_105698, _105700, _105702, _105704, _105706, _105708] : [-(greatest(_105706, _105702, _105698)), greatest(_105708, _105704, _105700), _105708 = _105706, _105704 = _105702, _105700 = _105698], (282 ^ _98348) ^ [_107908, _107910] : [-(order(_107910, _107908)), 286 ^ _98348 : [(287 ^ _98348) ^ [] : [-(member(285 ^ [_107908, _107910], _107908))], (289 ^ _98348) ^ [] : [apply(_107910, 285 ^ [_107908, _107910], 285 ^ [_107908, _107910])]], 294 ^ _98348 : [(295 ^ _98348) ^ [] : [-(member(292 ^ [_107908, _107910], _107908))], (297 ^ _98348) ^ [] : [-(member(293 ^ [_107908, _107910], _107908))], (299 ^ _98348) ^ [] : [-(apply(_107910, 292 ^ [_107908, _107910], 293 ^ [_107908, _107910]))], (301 ^ _98348) ^ [] : [-(apply(_107910, 293 ^ [_107908, _107910], 292 ^ [_107908, _107910]))], (303 ^ _98348) ^ [] : [292 ^ [_107908, _107910] = 293 ^ [_107908, _107910]]], 307 ^ _98348 : [(308 ^ _98348) ^ [] : [-(member(304 ^ [_107908, _107910], _107908))], (310 ^ _98348) ^ [] : [-(member(305 ^ [_107908, _107910], _107908))], (312 ^ _98348) ^ [] : [-(member(306 ^ [_107908, _107910], _107908))], (314 ^ _98348) ^ [] : [-(apply(_107910, 304 ^ [_107908, _107910], 305 ^ [_107908, _107910]))], (316 ^ _98348) ^ [] : [-(apply(_107910, 305 ^ [_107908, _107910], 306 ^ [_107908, _107910]))], (318 ^ _98348) ^ [] : [apply(_107910, 304 ^ [_107908, _107910], 306 ^ [_107908, _107910])]]], (232 ^ _98348) ^ [_106308, _106310] : [order(_106310, _106308), 235 ^ _98348 : [(236 ^ _98348) ^ [_106562] : [member(_106562, _106308), -(apply(_106310, _106562, _106562))], (242 ^ _98348) ^ [_106784, _106786] : [member(_106786, _106308), member(_106784, _106308), -(_106786 = _106784), apply(_106310, _106786, _106784), apply(_106310, _106784, _106786)], (260 ^ _98348) ^ [_107301, _107303, _107305] : [member(_107305, _106308), member(_107303, _106308), member(_107301, _106308), -(apply(_106310, _107305, _107301)), apply(_106310, _107305, _107303), apply(_106310, _107303, _107301)]]], (342 ^ _98348) ^ [_110429, _110431] : [-(total_order(_110431, _110429)), order(_110431, _110429), 349 ^ _98348 : [(350 ^ _98348) ^ [] : [-(member(347 ^ [_110429, _110431], _110429))], (352 ^ _98348) ^ [] : [-(member(348 ^ [_110429, _110431], _110429))], (354 ^ _98348) ^ [] : [apply(_110431, 347 ^ [_110429, _110431], 348 ^ [_110429, _110431])], (356 ^ _98348) ^ [] : [apply(_110431, 348 ^ [_110429, _110431], 347 ^ [_110429, _110431])]]], (322 ^ _98348) ^ [_109801, _109803] : [total_order(_109803, _109801), 325 ^ _98348 : [(326 ^ _98348) ^ [] : [-(order(_109803, _109801))], (328 ^ _98348) ^ [_110043, _110045] : [member(_110045, _109801), member(_110043, _109801), -(apply(_109803, _110045, _110043)), -(apply(_109803, _110043, _110045))]]], (370 ^ _98348) ^ [_111540, _111542, _111544] : [372 ^ _98348 : [(373 ^ _98348) ^ [] : [-(member(371 ^ [_111540, _111542, _111544], _111542))], (375 ^ _98348) ^ [] : [apply(_111544, 371 ^ [_111540, _111542, _111544], _111540)]], -(upper_bound(_111540, _111544, _111542))], (360 ^ _98348) ^ [_111209, _111211, _111213] : [upper_bound(_111209, _111213, _111211), 363 ^ _98348 : [(364 ^ _98348) ^ [_111353] : [member(_111353, _111211), -(apply(_111213, _111353, _111209))]]], (389 ^ _98348) ^ [_112292, _112294, _112296] : [391 ^ _98348 : [(392 ^ _98348) ^ [] : [-(member(390 ^ [_112292, _112294, _112296], _112294))], (394 ^ _98348) ^ [] : [apply(_112296, _112292, 390 ^ [_112292, _112294, _112296])]], -(lower_bound(_112292, _112296, _112294))], (379 ^ _98348) ^ [_111961, _111963, _111965] : [lower_bound(_111961, _111965, _111963), 382 ^ _98348 : [(383 ^ _98348) ^ [_112105] : [member(_112105, _111963), -(apply(_111965, _111961, _112105))]]], (398 ^ _98348) ^ [_112713, _112715, _112717] : [greatest(_112713, _112717, _112715), 401 ^ _98348 : [(402 ^ _98348) ^ [] : [-(member(_112713, _112715))], (404 ^ _98348) ^ [_112931] : [member(_112931, _112715), -(apply(_112717, _112931, _112713))]]], (410 ^ _98348) ^ [_113120, _113122, _113124] : [-(greatest(_113120, _113124, _113122)), member(_113120, _113122), 416 ^ _98348 : [(417 ^ _98348) ^ [] : [-(member(415 ^ [_113120, _113122, _113124], _113122))], (419 ^ _98348) ^ [] : [apply(_113124, 415 ^ [_113120, _113122, _113124], _113120)]]], (423 ^ _98348) ^ [_113634, _113636, _113638] : [least(_113634, _113638, _113636), 426 ^ _98348 : [(427 ^ _98348) ^ [] : [-(member(_113634, _113636))], (429 ^ _98348) ^ [_113852] : [member(_113852, _113636), -(apply(_113638, _113634, _113852))]]], (435 ^ _98348) ^ [_114041, _114043, _114045] : [-(least(_114041, _114045, _114043)), member(_114041, _114043), 441 ^ _98348 : [(442 ^ _98348) ^ [] : [-(member(440 ^ [_114041, _114043, _114045], _114043))], (444 ^ _98348) ^ [] : [apply(_114045, _114041, 440 ^ [_114041, _114043, _114045])]]], (464 ^ _98348) ^ [_115065, _115067, _115069] : [-(max(_115065, _115069, _115067)), member(_115065, _115067), 470 ^ _98348 : [(471 ^ _98348) ^ [] : [-(member(469 ^ [_115065, _115067, _115069], _115067))], (473 ^ _98348) ^ [] : [-(apply(_115069, _115065, 469 ^ [_115065, _115067, _115069]))], (475 ^ _98348) ^ [] : [_115065 = 469 ^ [_115065, _115067, _115069]]]], (448 ^ _98348) ^ [_114555, _114557, _114559] : [max(_114555, _114559, _114557), 451 ^ _98348 : [(452 ^ _98348) ^ [] : [-(member(_114555, _114557))], (454 ^ _98348) ^ [_114779] : [-(_114555 = _114779), member(_114779, _114557), apply(_114559, _114555, _114779)]]], (495 ^ _98348) ^ [_116182, _116184, _116186] : [-(min(_116182, _116186, _116184)), member(_116182, _116184), 501 ^ _98348 : [(502 ^ _98348) ^ [] : [-(member(500 ^ [_116182, _116184, _116186], _116184))], (504 ^ _98348) ^ [] : [-(apply(_116186, 500 ^ [_116182, _116184, _116186], _116182))], (506 ^ _98348) ^ [] : [_116182 = 500 ^ [_116182, _116184, _116186]]]], (479 ^ _98348) ^ [_115672, _115674, _115676] : [min(_115672, _115676, _115674), 482 ^ _98348 : [(483 ^ _98348) ^ [] : [-(member(_115672, _115674))], (485 ^ _98348) ^ [_115896] : [-(_115672 = _115896), member(_115896, _115674), apply(_115676, _115896, _115672)]]], (510 ^ _98348) ^ [_116803, _116805, _116807, _116809] : [least_upper_bound(_116809, _116807, _116805, _116803), 513 ^ _98348 : [(514 ^ _98348) ^ [] : [-(member(_116809, _116807))], (516 ^ _98348) ^ [] : [-(upper_bound(_116809, _116805, _116807))], (518 ^ _98348) ^ [_117114] : [-(apply(_116805, _116809, _117114)), member(_117114, _116803), upper_bound(_117114, _116805, _116807)]]], (528 ^ _98348) ^ [_117416, _117418, _117420, _117422] : [-(least_upper_bound(_117422, _117420, _117418, _117416)), member(_117422, _117420), upper_bound(_117422, _117418, _117420), 538 ^ _98348 : [(539 ^ _98348) ^ [] : [-(member(537 ^ [_117416, _117418, _117420, _117422], _117416))], (541 ^ _98348) ^ [] : [-(upper_bound(537 ^ [_117416, _117418, _117420, _117422], _117418, _117420))], (543 ^ _98348) ^ [] : [apply(_117418, _117422, 537 ^ [_117416, _117418, _117420, _117422])]]], (547 ^ _98348) ^ [_118145, _118147, _118149, _118151] : [greatest_lower_bound(_118151, _118149, _118147, _118145), 550 ^ _98348 : [(551 ^ _98348) ^ [] : [-(member(_118151, _118149))], (553 ^ _98348) ^ [] : [-(lower_bound(_118151, _118147, _118149))], (555 ^ _98348) ^ [_118456] : [-(apply(_118147, _118456, _118151)), member(_118456, _118145), lower_bound(_118456, _118147, _118149)]]], (565 ^ _98348) ^ [_118758, _118760, _118762, _118764] : [-(greatest_lower_bound(_118764, _118762, _118760, _118758)), member(_118764, _118762), lower_bound(_118764, _118760, _118762), 575 ^ _98348 : [(576 ^ _98348) ^ [] : [-(member(574 ^ [_118758, _118760, _118762, _118764], _118758))], (578 ^ _98348) ^ [] : [-(lower_bound(574 ^ [_118758, _118760, _118762, _118764], _118760, _118762))], (580 ^ _98348) ^ [] : [apply(_118760, 574 ^ [_118758, _118760, _118762, _118764], _118764)]]]], input).
% 2.41/3.46  ncf('1',plain,[587 ^ [] = 588 ^ []],start(594 ^ 0)).
% 2.41/3.46  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([[_106308, _106310, _106784, _106786], [584 ^ [], 583 ^ [], 588 ^ [], 587 ^ []]]))).
% 2.41/3.46  ncf('1.1.1',plain,[-(member(587 ^ [], 584 ^ [])), member(595 ^ [], 584 ^ []), 595 ^ [] = 587 ^ [], 584 ^ [] = 584 ^ []],extension(132 ^ 4,bind([[_102975, _102977, _102979, _102981], [584 ^ [], 584 ^ [], 587 ^ [], 595 ^ []]]))).
% 2.41/3.46  ncf('1.1.1.1',plain,[-(member(595 ^ [], 584 ^ [])), member(595 ^ [], 584 ^ []), 595 ^ [] = 595 ^ [], 584 ^ [] = 584 ^ []],extension(132 ^ 5,bind([[_102975, _102977, _102979, _102981], [584 ^ [], 584 ^ [], 595 ^ [], 595 ^ []]]))).
% 2.41/3.46  ncf('1.1.1.1.1',plain,[-(member(595 ^ [], 584 ^ [])), member(595 ^ [], 584 ^ []), 595 ^ [] = 595 ^ [], 584 ^ [] = 584 ^ []],extension(132 ^ 6,bind([[_102975, _102977, _102979, _102981], [584 ^ [], 584 ^ [], 595 ^ [], 595 ^ []]]))).
% 2.41/3.46  ncf('1.1.1.1.1.1',plain,[-(member(595 ^ [], 584 ^ [])), member(595 ^ [], 584 ^ []), 595 ^ [] = 595 ^ [], 584 ^ [] = 584 ^ []],extension(132 ^ 7,bind([[_102975, _102977, _102979, _102981], [584 ^ [], 584 ^ [], 595 ^ [], 595 ^ []]]))).
% 2.41/3.46  ncf('1.1.1.1.1.1.1',plain,[-(member(595 ^ [], 584 ^ [])), greatest(595 ^ [], 583 ^ [], 584 ^ [])],extension(398 ^ 8,bind([[_112713, _112715, _112717], [595 ^ [], 584 ^ [], 583 ^ []]]))).
% 2.41/3.46  ncf('1.1.1.1.1.1.1.1',plain,[-(greatest(595 ^ [], 583 ^ [], 584 ^ []))],extension(597 ^ 9)).
% 2.41/3.46  ncf('1.1.1.1.1.1.2',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 8,bind([[_98472], [595 ^ []]]))).
% 2.41/3.46  ncf('1.1.1.1.1.1.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 8,bind([[_98472], [584 ^ []]]))).
% 2.41/3.46  ncf('1.1.1.1.1.2',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 7,bind([[_98472], [595 ^ []]]))).
% 2.41/3.46  ncf('1.1.1.1.1.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 7,bind([[_98472], [584 ^ []]]))).
% 2.41/3.46  ncf('1.1.1.1.2',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 6,bind([[_98472], [595 ^ []]]))).
% 2.41/3.46  ncf('1.1.1.1.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 6,bind([[_98472], [584 ^ []]]))).
% 2.41/3.46  ncf('1.1.1.2',plain,[-(595 ^ [] = 587 ^ []), 587 ^ [] = 595 ^ []],extension(4 ^ 5,bind([[_98579, _98581], [595 ^ [], 587 ^ []]]))).
% 2.41/3.46  ncf('1.1.1.2.1',plain,[-(587 ^ [] = 595 ^ []), 454 : member(595 ^ [], 584 ^ []), 454 : apply(583 ^ [], 587 ^ [], 595 ^ []), 454 : max(587 ^ [], 583 ^ [], 584 ^ [])],extension(448 ^ 6,bind([[_114555, _114557, _114559, _114779], [587 ^ [], 584 ^ [], 583 ^ [], 595 ^ []]]))).
% 2.41/3.46  ncf('1.1.1.2.1.1',plain,[-(member(595 ^ [], 584 ^ [])), member(595 ^ [], 584 ^ []), 595 ^ [] = 595 ^ [], 584 ^ [] = 584 ^ []],extension(132 ^ 9,bind([[_102975, _102977, _102979, _102981], [584 ^ [], 584 ^ [], 595 ^ [], 595 ^ []]]))).
% 2.41/3.46  ncf('1.1.1.2.1.1.1',plain,[-(member(595 ^ [], 584 ^ [])), greatest(595 ^ [], 583 ^ [], 584 ^ [])],extension(398 ^ 10,bind([[_112713, _112715, _112717], [595 ^ [], 584 ^ [], 583 ^ []]]))).
% 2.41/3.46  ncf('1.1.1.2.1.1.1.1',plain,[-(greatest(595 ^ [], 583 ^ [], 584 ^ []))],extension(597 ^ 11)).
% 2.41/3.46  ncf('1.1.1.2.1.1.2',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 10,bind([[_98472], [595 ^ []]]))).
% 2.41/3.46  ncf('1.1.1.2.1.1.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 10,bind([[_98472], [584 ^ []]]))).
% 2.41/3.46  ncf('1.1.1.2.1.2',plain,[-(apply(583 ^ [], 587 ^ [], 595 ^ [])), 404 : member(587 ^ [], 584 ^ []), 404 : greatest(595 ^ [], 583 ^ [], 584 ^ [])],extension(398 ^ 9,bind([[_112713, _112715, _112717, _112931], [595 ^ [], 584 ^ [], 583 ^ [], 587 ^ []]]))).
% 2.41/3.46  ncf('1.1.1.2.1.2.1',plain,[-(member(587 ^ [], 584 ^ []))],extension(452 ^ 12)).
% 2.41/3.46  ncf('1.1.1.2.1.2.2',plain,[-(greatest(595 ^ [], 583 ^ [], 584 ^ []))],extension(597 ^ 10)).
% 2.41/3.46  ncf('1.1.1.2.1.3',plain,[-(max(587 ^ [], 583 ^ [], 584 ^ []))],extension(590 ^ 7)).
% 2.41/3.46  ncf('1.1.1.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 5,bind([[_98472], [584 ^ []]]))).
% 2.41/3.46  ncf('1.1.2',plain,[-(member(588 ^ [], 584 ^ [])), member(595 ^ [], 584 ^ []), 595 ^ [] = 588 ^ [], 584 ^ [] = 584 ^ []],extension(132 ^ 4,bind([[_102975, _102977, _102979, _102981], [584 ^ [], 584 ^ [], 588 ^ [], 595 ^ []]]))).
% 2.41/3.46  ncf('1.1.2.1',plain,[-(member(595 ^ [], 584 ^ [])), member(595 ^ [], 584 ^ []), 595 ^ [] = 595 ^ [], 584 ^ [] = 584 ^ []],extension(132 ^ 5,bind([[_102975, _102977, _102979, _102981], [584 ^ [], 584 ^ [], 595 ^ [], 595 ^ []]]))).
% 2.41/3.46  ncf('1.1.2.1.1',plain,[-(member(595 ^ [], 584 ^ [])), member(595 ^ [], 584 ^ []), 595 ^ [] = 595 ^ [], 584 ^ [] = 584 ^ []],extension(132 ^ 6,bind([[_102975, _102977, _102979, _102981], [584 ^ [], 584 ^ [], 595 ^ [], 595 ^ []]]))).
% 2.41/3.46  ncf('1.1.2.1.1.1',plain,[-(member(595 ^ [], 584 ^ [])), member(595 ^ [], 584 ^ []), 595 ^ [] = 595 ^ [], 584 ^ [] = 584 ^ []],extension(132 ^ 7,bind([[_102975, _102977, _102979, _102981], [584 ^ [], 584 ^ [], 595 ^ [], 595 ^ []]]))).
% 2.41/3.46  ncf('1.1.2.1.1.1.1',plain,[-(member(595 ^ [], 584 ^ [])), greatest(595 ^ [], 583 ^ [], 584 ^ [])],extension(398 ^ 8,bind([[_112713, _112715, _112717], [595 ^ [], 584 ^ [], 583 ^ []]]))).
% 2.41/3.46  ncf('1.1.2.1.1.1.1.1',plain,[-(greatest(595 ^ [], 583 ^ [], 584 ^ []))],extension(597 ^ 9)).
% 2.41/3.46  ncf('1.1.2.1.1.1.2',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 8,bind([[_98472], [595 ^ []]]))).
% 2.41/3.46  ncf('1.1.2.1.1.1.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 8,bind([[_98472], [584 ^ []]]))).
% 2.41/3.46  ncf('1.1.2.1.1.2',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 7,bind([[_98472], [595 ^ []]]))).
% 2.41/3.46  ncf('1.1.2.1.1.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 7,bind([[_98472], [584 ^ []]]))).
% 2.41/3.46  ncf('1.1.2.1.2',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 6,bind([[_98472], [595 ^ []]]))).
% 2.41/3.46  ncf('1.1.2.1.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 6,bind([[_98472], [584 ^ []]]))).
% 2.41/3.46  ncf('1.1.2.2',plain,[-(595 ^ [] = 588 ^ []), 588 ^ [] = 595 ^ []],extension(4 ^ 5,bind([[_98579, _98581], [595 ^ [], 588 ^ []]]))).
% 2.41/3.46  ncf('1.1.2.2.1',plain,[-(588 ^ [] = 595 ^ []), 454 : member(595 ^ [], 584 ^ []), 454 : apply(583 ^ [], 588 ^ [], 595 ^ []), 454 : max(588 ^ [], 583 ^ [], 584 ^ [])],extension(448 ^ 6,bind([[_114555, _114557, _114559, _114779], [588 ^ [], 584 ^ [], 583 ^ [], 595 ^ []]]))).
% 2.41/3.46  ncf('1.1.2.2.1.1',plain,[-(member(595 ^ [], 584 ^ [])), member(595 ^ [], 584 ^ []), 595 ^ [] = 595 ^ [], 584 ^ [] = 584 ^ []],extension(132 ^ 9,bind([[_102975, _102977, _102979, _102981], [584 ^ [], 584 ^ [], 595 ^ [], 595 ^ []]]))).
% 2.41/3.46  ncf('1.1.2.2.1.1.1',plain,[-(member(595 ^ [], 584 ^ [])), greatest(595 ^ [], 583 ^ [], 584 ^ [])],extension(398 ^ 10,bind([[_112713, _112715, _112717], [595 ^ [], 584 ^ [], 583 ^ []]]))).
% 2.41/3.46  ncf('1.1.2.2.1.1.1.1',plain,[-(greatest(595 ^ [], 583 ^ [], 584 ^ []))],extension(597 ^ 11)).
% 2.41/3.46  ncf('1.1.2.2.1.1.2',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 10,bind([[_98472], [595 ^ []]]))).
% 2.41/3.46  ncf('1.1.2.2.1.1.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 10,bind([[_98472], [584 ^ []]]))).
% 2.41/3.46  ncf('1.1.2.2.1.2',plain,[-(apply(583 ^ [], 588 ^ [], 595 ^ [])), 404 : member(588 ^ [], 584 ^ []), 404 : greatest(595 ^ [], 583 ^ [], 584 ^ [])],extension(398 ^ 9,bind([[_112713, _112715, _112717, _112931], [595 ^ [], 584 ^ [], 583 ^ [], 588 ^ []]]))).
% 2.41/3.46  ncf('1.1.2.2.1.2.1',plain,[-(member(588 ^ [], 584 ^ []))],extension(452 ^ 12)).
% 2.41/3.46  ncf('1.1.2.2.1.2.2',plain,[-(greatest(595 ^ [], 583 ^ [], 584 ^ []))],extension(597 ^ 10)).
% 2.41/3.46  ncf('1.1.2.2.1.3',plain,[-(max(588 ^ [], 583 ^ [], 584 ^ []))],extension(592 ^ 7)).
% 2.41/3.46  ncf('1.1.2.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 5,bind([[_98472], [584 ^ []]]))).
% 2.41/3.46  ncf('1.1.3',plain,[-(apply(583 ^ [], 587 ^ [], 588 ^ [])), apply(583 ^ [], 595 ^ [], 595 ^ []), 583 ^ [] = 583 ^ [], 595 ^ [] = 587 ^ [], 595 ^ [] = 588 ^ []],extension(164 ^ 4,bind([[_104056, _104058, _104060, _104062, _104064, _104066], [588 ^ [], 595 ^ [], 587 ^ [], 595 ^ [], 583 ^ [], 583 ^ []]]))).
% 2.41/3.46  ncf('1.1.3.1',plain,[-(apply(583 ^ [], 595 ^ [], 595 ^ [])), apply(583 ^ [], 595 ^ [], 595 ^ []), 583 ^ [] = 583 ^ [], 595 ^ [] = 595 ^ [], 595 ^ [] = 595 ^ []],extension(164 ^ 5,bind([[_104056, _104058, _104060, _104062, _104064, _104066], [595 ^ [], 595 ^ [], 595 ^ [], 595 ^ [], 583 ^ [], 583 ^ []]]))).
% 2.41/3.46  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([[_104056, _104058, _104060, _104062, _104064, _104066], [595 ^ [], 595 ^ [], 595 ^ [], 595 ^ [], 583 ^ [], 583 ^ []]]))).
% 2.41/3.46  ncf('1.1.3.1.1.1',plain,[-(apply(583 ^ [], 595 ^ [], 595 ^ [])), member(595 ^ [], 584 ^ [])],extension(236 ^ 7,bind([[_106562], [595 ^ []]]))).
% 2.41/3.46  ncf('1.1.3.1.1.1.1',plain,[-(member(595 ^ [], 584 ^ [])), greatest(595 ^ [], 583 ^ [], 584 ^ [])],extension(398 ^ 8,bind([[_112713, _112715, _112717], [595 ^ [], 584 ^ [], 583 ^ []]]))).
% 2.41/3.46  ncf('1.1.3.1.1.1.1.1',plain,[-(greatest(595 ^ [], 583 ^ [], 584 ^ []))],extension(597 ^ 9)).
% 2.41/3.46  ncf('1.1.3.1.1.2',plain,[-(583 ^ [] = 583 ^ [])],extension(2 ^ 7,bind([[_98472], [583 ^ []]]))).
% 2.41/3.46  ncf('1.1.3.1.1.3',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 7,bind([[_98472], [595 ^ []]]))).
% 2.41/3.46  ncf('1.1.3.1.1.4',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 7,bind([[_98472], [595 ^ []]]))).
% 2.41/3.46  ncf('1.1.3.1.2',plain,[-(583 ^ [] = 583 ^ [])],extension(2 ^ 6,bind([[_98472], [583 ^ []]]))).
% 2.41/3.46  ncf('1.1.3.1.3',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 6,bind([[_98472], [595 ^ []]]))).
% 2.41/3.46  ncf('1.1.3.1.4',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 6,bind([[_98472], [595 ^ []]]))).
% 2.41/3.46  ncf('1.1.3.2',plain,[-(583 ^ [] = 583 ^ [])],extension(2 ^ 5,bind([[_98472], [583 ^ []]]))).
% 2.41/3.46  ncf('1.1.3.3',plain,[-(595 ^ [] = 587 ^ []), 587 ^ [] = 595 ^ []],extension(4 ^ 5,bind([[_98579, _98581], [595 ^ [], 587 ^ []]]))).
% 2.41/3.46  ncf('1.1.3.3.1',plain,[-(587 ^ [] = 595 ^ []), 454 : member(595 ^ [], 584 ^ []), 454 : apply(583 ^ [], 587 ^ [], 595 ^ []), 454 : max(587 ^ [], 583 ^ [], 584 ^ [])],extension(448 ^ 6,bind([[_114555, _114557, _114559, _114779], [587 ^ [], 584 ^ [], 583 ^ [], 595 ^ []]]))).
% 2.41/3.47  ncf('1.1.3.3.1.1',plain,[-(member(595 ^ [], 584 ^ [])), member(595 ^ [], 584 ^ []), 595 ^ [] = 595 ^ [], 584 ^ [] = 584 ^ []],extension(132 ^ 9,bind([[_102975, _102977, _102979, _102981], [584 ^ [], 584 ^ [], 595 ^ [], 595 ^ []]]))).
% 2.41/3.47  ncf('1.1.3.3.1.1.1',plain,[-(member(595 ^ [], 584 ^ [])), greatest(595 ^ [], 583 ^ [], 584 ^ [])],extension(398 ^ 10,bind([[_112713, _112715, _112717], [595 ^ [], 584 ^ [], 583 ^ []]]))).
% 2.41/3.47  ncf('1.1.3.3.1.1.1.1',plain,[-(greatest(595 ^ [], 583 ^ [], 584 ^ []))],extension(597 ^ 11)).
% 2.41/3.47  ncf('1.1.3.3.1.1.2',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 10,bind([[_98472], [595 ^ []]]))).
% 2.41/3.47  ncf('1.1.3.3.1.1.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 10,bind([[_98472], [584 ^ []]]))).
% 2.41/3.47  ncf('1.1.3.3.1.2',plain,[-(apply(583 ^ [], 587 ^ [], 595 ^ [])), 404 : member(587 ^ [], 584 ^ []), 404 : greatest(595 ^ [], 583 ^ [], 584 ^ [])],extension(398 ^ 9,bind([[_112713, _112715, _112717, _112931], [595 ^ [], 584 ^ [], 583 ^ [], 587 ^ []]]))).
% 2.41/3.47  ncf('1.1.3.3.1.2.1',plain,[-(member(587 ^ [], 584 ^ []))],extension(452 ^ 12)).
% 2.41/3.47  ncf('1.1.3.3.1.2.2',plain,[-(greatest(595 ^ [], 583 ^ [], 584 ^ []))],extension(597 ^ 10)).
% 2.41/3.47  ncf('1.1.3.3.1.3',plain,[-(max(587 ^ [], 583 ^ [], 584 ^ []))],extension(590 ^ 7)).
% 2.41/3.47  ncf('1.1.3.4',plain,[-(595 ^ [] = 588 ^ []), 588 ^ [] = 595 ^ []],extension(4 ^ 5,bind([[_98579, _98581], [595 ^ [], 588 ^ []]]))).
% 2.41/3.47  ncf('1.1.3.4.1',plain,[-(588 ^ [] = 595 ^ []), 454 : member(595 ^ [], 584 ^ []), 454 : apply(583 ^ [], 588 ^ [], 595 ^ []), 454 : max(588 ^ [], 583 ^ [], 584 ^ [])],extension(448 ^ 6,bind([[_114555, _114557, _114559, _114779], [588 ^ [], 584 ^ [], 583 ^ [], 595 ^ []]]))).
% 2.41/3.47  ncf('1.1.3.4.1.1',plain,[-(member(595 ^ [], 584 ^ [])), member(595 ^ [], 584 ^ []), 595 ^ [] = 595 ^ [], 584 ^ [] = 584 ^ []],extension(132 ^ 9,bind([[_102975, _102977, _102979, _102981], [584 ^ [], 584 ^ [], 595 ^ [], 595 ^ []]]))).
% 2.41/3.47  ncf('1.1.3.4.1.1.1',plain,[-(member(595 ^ [], 584 ^ [])), greatest(595 ^ [], 583 ^ [], 584 ^ [])],extension(398 ^ 10,bind([[_112713, _112715, _112717], [595 ^ [], 584 ^ [], 583 ^ []]]))).
% 2.41/3.47  ncf('1.1.3.4.1.1.1.1',plain,[-(greatest(595 ^ [], 583 ^ [], 584 ^ []))],extension(597 ^ 11)).
% 2.41/3.47  ncf('1.1.3.4.1.1.2',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 10,bind([[_98472], [595 ^ []]]))).
% 2.41/3.47  ncf('1.1.3.4.1.1.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 10,bind([[_98472], [584 ^ []]]))).
% 2.41/3.47  ncf('1.1.3.4.1.2',plain,[-(apply(583 ^ [], 588 ^ [], 595 ^ [])), 404 : member(588 ^ [], 584 ^ []), 404 : greatest(595 ^ [], 583 ^ [], 584 ^ [])],extension(398 ^ 9,bind([[_112713, _112715, _112717, _112931], [595 ^ [], 584 ^ [], 583 ^ [], 588 ^ []]]))).
% 2.41/3.47  ncf('1.1.3.4.1.2.1',plain,[-(member(588 ^ [], 584 ^ []))],extension(452 ^ 12)).
% 2.41/3.47  ncf('1.1.3.4.1.2.2',plain,[-(greatest(595 ^ [], 583 ^ [], 584 ^ []))],extension(597 ^ 10)).
% 2.41/3.47  ncf('1.1.3.4.1.3',plain,[-(max(588 ^ [], 583 ^ [], 584 ^ []))],extension(592 ^ 7)).
% 2.41/3.47  ncf('1.1.4',plain,[-(apply(583 ^ [], 588 ^ [], 587 ^ [])), apply(583 ^ [], 595 ^ [], 595 ^ []), 583 ^ [] = 583 ^ [], 595 ^ [] = 588 ^ [], 595 ^ [] = 587 ^ []],extension(164 ^ 4,bind([[_104056, _104058, _104060, _104062, _104064, _104066], [587 ^ [], 595 ^ [], 588 ^ [], 595 ^ [], 583 ^ [], 583 ^ []]]))).
% 2.41/3.47  ncf('1.1.4.1',plain,[-(apply(583 ^ [], 595 ^ [], 595 ^ [])), apply(583 ^ [], 595 ^ [], 595 ^ []), 583 ^ [] = 583 ^ [], 595 ^ [] = 595 ^ [], 595 ^ [] = 595 ^ []],extension(164 ^ 5,bind([[_104056, _104058, _104060, _104062, _104064, _104066], [595 ^ [], 595 ^ [], 595 ^ [], 595 ^ [], 583 ^ [], 583 ^ []]]))).
% 2.41/3.47  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([[_104056, _104058, _104060, _104062, _104064, _104066], [595 ^ [], 595 ^ [], 595 ^ [], 595 ^ [], 583 ^ [], 583 ^ []]]))).
% 2.41/3.47  ncf('1.1.4.1.1.1',plain,[-(apply(583 ^ [], 595 ^ [], 595 ^ [])), member(595 ^ [], 584 ^ [])],extension(236 ^ 7,bind([[_106562], [595 ^ []]]))).
% 2.41/3.47  ncf('1.1.4.1.1.1.1',plain,[-(member(595 ^ [], 584 ^ [])), greatest(595 ^ [], 583 ^ [], 584 ^ [])],extension(398 ^ 8,bind([[_112713, _112715, _112717], [595 ^ [], 584 ^ [], 583 ^ []]]))).
% 2.41/3.47  ncf('1.1.4.1.1.1.1.1',plain,[-(greatest(595 ^ [], 583 ^ [], 584 ^ []))],extension(597 ^ 9)).
% 2.41/3.47  ncf('1.1.4.1.1.2',plain,[-(583 ^ [] = 583 ^ [])],extension(2 ^ 7,bind([[_98472], [583 ^ []]]))).
% 2.41/3.47  ncf('1.1.4.1.1.3',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 7,bind([[_98472], [595 ^ []]]))).
% 2.41/3.47  ncf('1.1.4.1.1.4',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 7,bind([[_98472], [595 ^ []]]))).
% 2.41/3.47  ncf('1.1.4.1.2',plain,[-(583 ^ [] = 583 ^ [])],extension(2 ^ 6,bind([[_98472], [583 ^ []]]))).
% 2.41/3.47  ncf('1.1.4.1.3',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 6,bind([[_98472], [595 ^ []]]))).
% 2.41/3.47  ncf('1.1.4.1.4',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 6,bind([[_98472], [595 ^ []]]))).
% 2.41/3.47  ncf('1.1.4.2',plain,[-(583 ^ [] = 583 ^ [])],extension(2 ^ 5,bind([[_98472], [583 ^ []]]))).
% 2.41/3.47  ncf('1.1.4.3',plain,[-(595 ^ [] = 588 ^ []), 588 ^ [] = 595 ^ []],extension(4 ^ 5,bind([[_98579, _98581], [595 ^ [], 588 ^ []]]))).
% 2.41/3.47  ncf('1.1.4.3.1',plain,[-(588 ^ [] = 595 ^ []), 454 : member(595 ^ [], 584 ^ []), 454 : apply(583 ^ [], 588 ^ [], 595 ^ []), 454 : max(588 ^ [], 583 ^ [], 584 ^ [])],extension(448 ^ 6,bind([[_114555, _114557, _114559, _114779], [588 ^ [], 584 ^ [], 583 ^ [], 595 ^ []]]))).
% 2.41/3.47  ncf('1.1.4.3.1.1',plain,[-(member(595 ^ [], 584 ^ [])), member(595 ^ [], 584 ^ []), 595 ^ [] = 595 ^ [], 584 ^ [] = 584 ^ []],extension(132 ^ 9,bind([[_102975, _102977, _102979, _102981], [584 ^ [], 584 ^ [], 595 ^ [], 595 ^ []]]))).
% 2.41/3.47  ncf('1.1.4.3.1.1.1',plain,[-(member(595 ^ [], 584 ^ [])), greatest(595 ^ [], 583 ^ [], 584 ^ [])],extension(398 ^ 10,bind([[_112713, _112715, _112717], [595 ^ [], 584 ^ [], 583 ^ []]]))).
% 2.41/3.47  ncf('1.1.4.3.1.1.1.1',plain,[-(greatest(595 ^ [], 583 ^ [], 584 ^ []))],extension(597 ^ 11)).
% 2.41/3.47  ncf('1.1.4.3.1.1.2',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 10,bind([[_98472], [595 ^ []]]))).
% 2.41/3.47  ncf('1.1.4.3.1.1.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 10,bind([[_98472], [584 ^ []]]))).
% 2.41/3.47  ncf('1.1.4.3.1.2',plain,[-(apply(583 ^ [], 588 ^ [], 595 ^ [])), 404 : member(588 ^ [], 584 ^ []), 404 : greatest(595 ^ [], 583 ^ [], 584 ^ [])],extension(398 ^ 9,bind([[_112713, _112715, _112717, _112931], [595 ^ [], 584 ^ [], 583 ^ [], 588 ^ []]]))).
% 2.41/3.47  ncf('1.1.4.3.1.2.1',plain,[-(member(588 ^ [], 584 ^ []))],extension(452 ^ 12)).
% 2.41/3.47  ncf('1.1.4.3.1.2.2',plain,[-(greatest(595 ^ [], 583 ^ [], 584 ^ []))],extension(597 ^ 10)).
% 2.41/3.47  ncf('1.1.4.3.1.3',plain,[-(max(588 ^ [], 583 ^ [], 584 ^ []))],extension(592 ^ 7)).
% 2.41/3.47  ncf('1.1.4.4',plain,[-(595 ^ [] = 587 ^ []), 587 ^ [] = 595 ^ []],extension(4 ^ 5,bind([[_98579, _98581], [595 ^ [], 587 ^ []]]))).
% 2.41/3.47  ncf('1.1.4.4.1',plain,[-(587 ^ [] = 595 ^ []), 454 : member(595 ^ [], 584 ^ []), 454 : apply(583 ^ [], 587 ^ [], 595 ^ []), 454 : max(587 ^ [], 583 ^ [], 584 ^ [])],extension(448 ^ 6,bind([[_114555, _114557, _114559, _114779], [587 ^ [], 584 ^ [], 583 ^ [], 595 ^ []]]))).
% 2.41/3.47  ncf('1.1.4.4.1.1',plain,[-(member(595 ^ [], 584 ^ [])), member(595 ^ [], 584 ^ []), 595 ^ [] = 595 ^ [], 584 ^ [] = 584 ^ []],extension(132 ^ 9,bind([[_102975, _102977, _102979, _102981], [584 ^ [], 584 ^ [], 595 ^ [], 595 ^ []]]))).
% 2.41/3.47  ncf('1.1.4.4.1.1.1',plain,[-(member(595 ^ [], 584 ^ [])), greatest(595 ^ [], 583 ^ [], 584 ^ [])],extension(398 ^ 10,bind([[_112713, _112715, _112717], [595 ^ [], 584 ^ [], 583 ^ []]]))).
% 2.41/3.47  ncf('1.1.4.4.1.1.1.1',plain,[-(greatest(595 ^ [], 583 ^ [], 584 ^ []))],extension(597 ^ 11)).
% 2.41/3.47  ncf('1.1.4.4.1.1.2',plain,[-(595 ^ [] = 595 ^ [])],extension(2 ^ 10,bind([[_98472], [595 ^ []]]))).
% 2.41/3.47  ncf('1.1.4.4.1.1.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 10,bind([[_98472], [584 ^ []]]))).
% 2.41/3.47  ncf('1.1.4.4.1.2',plain,[-(apply(583 ^ [], 587 ^ [], 595 ^ [])), 404 : member(587 ^ [], 584 ^ []), 404 : greatest(595 ^ [], 583 ^ [], 584 ^ [])],extension(398 ^ 9,bind([[_112713, _112715, _112717, _112931], [595 ^ [], 584 ^ [], 583 ^ [], 587 ^ []]]))).
% 2.41/3.47  ncf('1.1.4.4.1.2.1',plain,[-(member(587 ^ [], 584 ^ []))],extension(452 ^ 12)).
% 2.41/3.47  ncf('1.1.4.4.1.2.2',plain,[-(greatest(595 ^ [], 583 ^ [], 584 ^ []))],extension(597 ^ 10)).
% 2.41/3.47  ncf('1.1.4.4.1.3',plain,[-(max(587 ^ [], 583 ^ [], 584 ^ []))],extension(590 ^ 7)).
% 2.41/3.47  ncf('1.1.5',plain,[-(order(583 ^ [], 584 ^ []))],extension(586 ^ 2)).
% 2.41/3.47  %-----------------------------------------------------
% 2.41/3.47  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------