TSTP Solution File: SET793+4 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET793+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n031.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 11:56:26 EDT 2023
% Result : Theorem 1.10s 1.36s
% Output : Proof 1.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET793+4 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.12 % Command : nanocop.sh %s %d
% 0.11/0.33 % Computer : n031.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 18 19:17:55 EDT 2023
% 0.11/0.33 % CPUTime :
% 1.10/1.36
% 1.10/1.36 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 1.10/1.36 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.10/1.36 %-----------------------------------------------------
% 1.10/1.36 ncf(matrix, plain, [(587 ^ _80633) ^ [] : [-(total_order(583 ^ [], 584 ^ []))], (589 ^ _80633) ^ [] : [-(max(585 ^ [], 583 ^ [], 584 ^ []))], (591 ^ _80633) ^ [] : [greatest(585 ^ [], 583 ^ [], 584 ^ [])], (2 ^ _80633) ^ [_80757] : [-(_80757 = _80757)], (4 ^ _80633) ^ [_80864, _80866] : [_80866 = _80864, -(_80864 = _80866)], (10 ^ _80633) ^ [_81068, _81070, _81072] : [-(_81072 = _81068), _81072 = _81070, _81070 = _81068], (20 ^ _80633) ^ [_81409, _81411, _81413, _81415] : [-(order(_81413, _81409)), order(_81415, _81411), _81415 = _81413, _81411 = _81409], (34 ^ _80633) ^ [_81881, _81883, _81885, _81887, _81889, _81891] : [-(least(_81889, _81885, _81881)), least(_81891, _81887, _81883), _81891 = _81889, _81887 = _81885, _81883 = _81881], (52 ^ _80633) ^ [_82490, _82492, _82494, _82496, _82498, _82500] : [-(min(_82498, _82494, _82490)), min(_82500, _82496, _82492), _82500 = _82498, _82496 = _82494, _82492 = _82490], (70 ^ _80633) ^ [_83127, _83129, _83131, _83133, _83135, _83137, _83139, _83141] : [-(least_upper_bound(_83139, _83135, _83131, _83127)), least_upper_bound(_83141, _83137, _83133, _83129), _83141 = _83139, _83137 = _83135, _83133 = _83131, _83129 = _83127], (92 ^ _80633) ^ [_83889, _83891, _83893, _83895, _83897, _83899] : [-(upper_bound(_83897, _83893, _83889)), upper_bound(_83899, _83895, _83891), _83899 = _83897, _83895 = _83893, _83891 = _83889], (110 ^ _80633) ^ [_84526, _84528, _84530, _84532, _84534, _84536, _84538, _84540] : [-(greatest_lower_bound(_84538, _84534, _84530, _84526)), greatest_lower_bound(_84540, _84536, _84532, _84528), _84540 = _84538, _84536 = _84534, _84532 = _84530, _84528 = _84526], (132 ^ _80633) ^ [_85260, _85262, _85264, _85266] : [-(member(_85264, _85260)), member(_85266, _85262), _85266 = _85264, _85262 = _85260], (146 ^ _80633) ^ [_85732, _85734, _85736, _85738, _85740, _85742] : [-(lower_bound(_85740, _85736, _85732)), lower_bound(_85742, _85738, _85734), _85742 = _85740, _85738 = _85736, _85734 = _85732], (164 ^ _80633) ^ [_86341, _86343, _86345, _86347, _86349, _86351] : [-(apply(_86349, _86345, _86341)), apply(_86351, _86347, _86343), _86351 = _86349, _86347 = _86345, _86343 = _86341], (182 ^ _80633) ^ [_86922, _86924, _86926, _86928] : [-(total_order(_86926, _86922)), total_order(_86928, _86924), _86928 = _86926, _86924 = _86922], (196 ^ _80633) ^ [_87394, _87396, _87398, _87400, _87402, _87404] : [-(max(_87402, _87398, _87394)), max(_87404, _87400, _87396), _87404 = _87402, _87400 = _87398, _87396 = _87394], (214 ^ _80633) ^ [_87983, _87985, _87987, _87989, _87991, _87993] : [-(greatest(_87991, _87987, _87983)), greatest(_87993, _87989, _87985), _87993 = _87991, _87989 = _87987, _87985 = _87983], (282 ^ _80633) ^ [_90193, _90195] : [-(order(_90195, _90193)), 286 ^ _80633 : [(287 ^ _80633) ^ [] : [-(member(285 ^ [_90193, _90195], _90193))], (289 ^ _80633) ^ [] : [apply(_90195, 285 ^ [_90193, _90195], 285 ^ [_90193, _90195])]], 294 ^ _80633 : [(295 ^ _80633) ^ [] : [-(member(292 ^ [_90193, _90195], _90193))], (297 ^ _80633) ^ [] : [-(member(293 ^ [_90193, _90195], _90193))], (299 ^ _80633) ^ [] : [-(apply(_90195, 292 ^ [_90193, _90195], 293 ^ [_90193, _90195]))], (301 ^ _80633) ^ [] : [-(apply(_90195, 293 ^ [_90193, _90195], 292 ^ [_90193, _90195]))], (303 ^ _80633) ^ [] : [292 ^ [_90193, _90195] = 293 ^ [_90193, _90195]]], 307 ^ _80633 : [(308 ^ _80633) ^ [] : [-(member(304 ^ [_90193, _90195], _90193))], (310 ^ _80633) ^ [] : [-(member(305 ^ [_90193, _90195], _90193))], (312 ^ _80633) ^ [] : [-(member(306 ^ [_90193, _90195], _90193))], (314 ^ _80633) ^ [] : [-(apply(_90195, 304 ^ [_90193, _90195], 305 ^ [_90193, _90195]))], (316 ^ _80633) ^ [] : [-(apply(_90195, 305 ^ [_90193, _90195], 306 ^ [_90193, _90195]))], (318 ^ _80633) ^ [] : [apply(_90195, 304 ^ [_90193, _90195], 306 ^ [_90193, _90195])]]], (232 ^ _80633) ^ [_88593, _88595] : [order(_88595, _88593), 235 ^ _80633 : [(236 ^ _80633) ^ [_88847] : [member(_88847, _88593), -(apply(_88595, _88847, _88847))], (242 ^ _80633) ^ [_89069, _89071] : [member(_89071, _88593), member(_89069, _88593), -(_89071 = _89069), apply(_88595, _89071, _89069), apply(_88595, _89069, _89071)], (260 ^ _80633) ^ [_89586, _89588, _89590] : [member(_89590, _88593), member(_89588, _88593), member(_89586, _88593), -(apply(_88595, _89590, _89586)), apply(_88595, _89590, _89588), apply(_88595, _89588, _89586)]]], (342 ^ _80633) ^ [_92714, _92716] : [-(total_order(_92716, _92714)), order(_92716, _92714), 349 ^ _80633 : [(350 ^ _80633) ^ [] : [-(member(347 ^ [_92714, _92716], _92714))], (352 ^ _80633) ^ [] : [-(member(348 ^ [_92714, _92716], _92714))], (354 ^ _80633) ^ [] : [apply(_92716, 347 ^ [_92714, _92716], 348 ^ [_92714, _92716])], (356 ^ _80633) ^ [] : [apply(_92716, 348 ^ [_92714, _92716], 347 ^ [_92714, _92716])]]], (322 ^ _80633) ^ [_92086, _92088] : [total_order(_92088, _92086), 325 ^ _80633 : [(326 ^ _80633) ^ [] : [-(order(_92088, _92086))], (328 ^ _80633) ^ [_92328, _92330] : [member(_92330, _92086), member(_92328, _92086), -(apply(_92088, _92330, _92328)), -(apply(_92088, _92328, _92330))]]], (370 ^ _80633) ^ [_93825, _93827, _93829] : [372 ^ _80633 : [(373 ^ _80633) ^ [] : [-(member(371 ^ [_93825, _93827, _93829], _93827))], (375 ^ _80633) ^ [] : [apply(_93829, 371 ^ [_93825, _93827, _93829], _93825)]], -(upper_bound(_93825, _93829, _93827))], (360 ^ _80633) ^ [_93494, _93496, _93498] : [upper_bound(_93494, _93498, _93496), 363 ^ _80633 : [(364 ^ _80633) ^ [_93638] : [member(_93638, _93496), -(apply(_93498, _93638, _93494))]]], (389 ^ _80633) ^ [_94577, _94579, _94581] : [391 ^ _80633 : [(392 ^ _80633) ^ [] : [-(member(390 ^ [_94577, _94579, _94581], _94579))], (394 ^ _80633) ^ [] : [apply(_94581, _94577, 390 ^ [_94577, _94579, _94581])]], -(lower_bound(_94577, _94581, _94579))], (379 ^ _80633) ^ [_94246, _94248, _94250] : [lower_bound(_94246, _94250, _94248), 382 ^ _80633 : [(383 ^ _80633) ^ [_94390] : [member(_94390, _94248), -(apply(_94250, _94246, _94390))]]], (398 ^ _80633) ^ [_94998, _95000, _95002] : [greatest(_94998, _95002, _95000), 401 ^ _80633 : [(402 ^ _80633) ^ [] : [-(member(_94998, _95000))], (404 ^ _80633) ^ [_95216] : [member(_95216, _95000), -(apply(_95002, _95216, _94998))]]], (410 ^ _80633) ^ [_95405, _95407, _95409] : [-(greatest(_95405, _95409, _95407)), member(_95405, _95407), 416 ^ _80633 : [(417 ^ _80633) ^ [] : [-(member(415 ^ [_95405, _95407, _95409], _95407))], (419 ^ _80633) ^ [] : [apply(_95409, 415 ^ [_95405, _95407, _95409], _95405)]]], (423 ^ _80633) ^ [_95919, _95921, _95923] : [least(_95919, _95923, _95921), 426 ^ _80633 : [(427 ^ _80633) ^ [] : [-(member(_95919, _95921))], (429 ^ _80633) ^ [_96137] : [member(_96137, _95921), -(apply(_95923, _95919, _96137))]]], (435 ^ _80633) ^ [_96326, _96328, _96330] : [-(least(_96326, _96330, _96328)), member(_96326, _96328), 441 ^ _80633 : [(442 ^ _80633) ^ [] : [-(member(440 ^ [_96326, _96328, _96330], _96328))], (444 ^ _80633) ^ [] : [apply(_96330, _96326, 440 ^ [_96326, _96328, _96330])]]], (464 ^ _80633) ^ [_97350, _97352, _97354] : [-(max(_97350, _97354, _97352)), member(_97350, _97352), 470 ^ _80633 : [(471 ^ _80633) ^ [] : [-(member(469 ^ [_97350, _97352, _97354], _97352))], (473 ^ _80633) ^ [] : [-(apply(_97354, _97350, 469 ^ [_97350, _97352, _97354]))], (475 ^ _80633) ^ [] : [_97350 = 469 ^ [_97350, _97352, _97354]]]], (448 ^ _80633) ^ [_96840, _96842, _96844] : [max(_96840, _96844, _96842), 451 ^ _80633 : [(452 ^ _80633) ^ [] : [-(member(_96840, _96842))], (454 ^ _80633) ^ [_97064] : [-(_96840 = _97064), member(_97064, _96842), apply(_96844, _96840, _97064)]]], (495 ^ _80633) ^ [_98467, _98469, _98471] : [-(min(_98467, _98471, _98469)), member(_98467, _98469), 501 ^ _80633 : [(502 ^ _80633) ^ [] : [-(member(500 ^ [_98467, _98469, _98471], _98469))], (504 ^ _80633) ^ [] : [-(apply(_98471, 500 ^ [_98467, _98469, _98471], _98467))], (506 ^ _80633) ^ [] : [_98467 = 500 ^ [_98467, _98469, _98471]]]], (479 ^ _80633) ^ [_97957, _97959, _97961] : [min(_97957, _97961, _97959), 482 ^ _80633 : [(483 ^ _80633) ^ [] : [-(member(_97957, _97959))], (485 ^ _80633) ^ [_98181] : [-(_97957 = _98181), member(_98181, _97959), apply(_97961, _98181, _97957)]]], (510 ^ _80633) ^ [_99088, _99090, _99092, _99094] : [least_upper_bound(_99094, _99092, _99090, _99088), 513 ^ _80633 : [(514 ^ _80633) ^ [] : [-(member(_99094, _99092))], (516 ^ _80633) ^ [] : [-(upper_bound(_99094, _99090, _99092))], (518 ^ _80633) ^ [_99399] : [-(apply(_99090, _99094, _99399)), member(_99399, _99088), upper_bound(_99399, _99090, _99092)]]], (528 ^ _80633) ^ [_99701, _99703, _99705, _99707] : [-(least_upper_bound(_99707, _99705, _99703, _99701)), member(_99707, _99705), upper_bound(_99707, _99703, _99705), 538 ^ _80633 : [(539 ^ _80633) ^ [] : [-(member(537 ^ [_99701, _99703, _99705, _99707], _99701))], (541 ^ _80633) ^ [] : [-(upper_bound(537 ^ [_99701, _99703, _99705, _99707], _99703, _99705))], (543 ^ _80633) ^ [] : [apply(_99703, _99707, 537 ^ [_99701, _99703, _99705, _99707])]]], (547 ^ _80633) ^ [_100430, _100432, _100434, _100436] : [greatest_lower_bound(_100436, _100434, _100432, _100430), 550 ^ _80633 : [(551 ^ _80633) ^ [] : [-(member(_100436, _100434))], (553 ^ _80633) ^ [] : [-(lower_bound(_100436, _100432, _100434))], (555 ^ _80633) ^ [_100741] : [-(apply(_100432, _100741, _100436)), member(_100741, _100430), lower_bound(_100741, _100432, _100434)]]], (565 ^ _80633) ^ [_101043, _101045, _101047, _101049] : [-(greatest_lower_bound(_101049, _101047, _101045, _101043)), member(_101049, _101047), lower_bound(_101049, _101045, _101047), 575 ^ _80633 : [(576 ^ _80633) ^ [] : [-(member(574 ^ [_101043, _101045, _101047, _101049], _101043))], (578 ^ _80633) ^ [] : [-(lower_bound(574 ^ [_101043, _101045, _101047, _101049], _101045, _101047))], (580 ^ _80633) ^ [] : [apply(_101045, 574 ^ [_101043, _101045, _101047, _101049], _101049)]]]], input).
% 1.10/1.36 ncf('1',plain,[greatest(585 ^ [], 583 ^ [], 584 ^ [])],start(591 ^ 0)).
% 1.10/1.36 ncf('1.1',plain,[-(greatest(585 ^ [], 583 ^ [], 584 ^ [])), member(585 ^ [], 584 ^ []), 417 : -(member(415 ^ [585 ^ [], 584 ^ [], 583 ^ []], 584 ^ []))],extension(410 ^ 1,bind([[_95405, _95407, _95409], [585 ^ [], 584 ^ [], 583 ^ []]]))).
% 1.10/1.36 ncf('1.1.1',plain,[-(member(585 ^ [], 584 ^ [])), member(585 ^ [], 584 ^ []), 585 ^ [] = 585 ^ [], 584 ^ [] = 584 ^ []],extension(132 ^ 2,bind([[_85260, _85262, _85264, _85266], [584 ^ [], 584 ^ [], 585 ^ [], 585 ^ []]]))).
% 1.10/1.36 ncf('1.1.1.1',plain,[-(member(585 ^ [], 584 ^ [])), member(585 ^ [], 584 ^ []), 585 ^ [] = 585 ^ [], 584 ^ [] = 584 ^ []],extension(132 ^ 3,bind([[_85260, _85262, _85264, _85266], [584 ^ [], 584 ^ [], 585 ^ [], 585 ^ []]]))).
% 1.10/1.36 ncf('1.1.1.1.1',plain,[-(member(585 ^ [], 584 ^ [])), member(585 ^ [], 584 ^ []), 585 ^ [] = 585 ^ [], 584 ^ [] = 584 ^ []],extension(132 ^ 4,bind([[_85260, _85262, _85264, _85266], [584 ^ [], 584 ^ [], 585 ^ [], 585 ^ []]]))).
% 1.10/1.36 ncf('1.1.1.1.1.1',plain,[-(member(585 ^ [], 584 ^ [])), max(585 ^ [], 583 ^ [], 584 ^ [])],extension(448 ^ 5,bind([[_96840, _96842, _96844], [585 ^ [], 584 ^ [], 583 ^ []]]))).
% 1.10/1.36 ncf('1.1.1.1.1.1.1',plain,[-(max(585 ^ [], 583 ^ [], 584 ^ []))],extension(589 ^ 6)).
% 1.10/1.36 ncf('1.1.1.1.1.2',plain,[-(585 ^ [] = 585 ^ [])],extension(2 ^ 5,bind([[_80757], [585 ^ []]]))).
% 1.10/1.36 ncf('1.1.1.1.1.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 5,bind([[_80757], [584 ^ []]]))).
% 1.10/1.36 ncf('1.1.1.1.2',plain,[-(585 ^ [] = 585 ^ [])],extension(2 ^ 4,bind([[_80757], [585 ^ []]]))).
% 1.10/1.36 ncf('1.1.1.1.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 4,bind([[_80757], [584 ^ []]]))).
% 1.10/1.36 ncf('1.1.1.2',plain,[-(585 ^ [] = 585 ^ [])],extension(2 ^ 3,bind([[_80757], [585 ^ []]]))).
% 1.10/1.36 ncf('1.1.1.3',plain,[-(584 ^ [] = 584 ^ [])],extension(2 ^ 3,bind([[_80757], [584 ^ []]]))).
% 1.10/1.36 ncf('1.1.2',plain,[member(415 ^ [585 ^ [], 584 ^ [], 583 ^ []], 584 ^ []), 454 : -(585 ^ [] = 415 ^ [585 ^ [], 584 ^ [], 583 ^ []]), 454 : apply(583 ^ [], 585 ^ [], 415 ^ [585 ^ [], 584 ^ [], 583 ^ []]), 454 : max(585 ^ [], 583 ^ [], 584 ^ [])],extension(448 ^ 4,bind([[_96840, _96842, _96844, _97064], [585 ^ [], 584 ^ [], 583 ^ [], 415 ^ [585 ^ [], 584 ^ [], 583 ^ []]]]))).
% 1.10/1.36 ncf('1.1.2.1',plain,[585 ^ [] = 415 ^ [585 ^ [], 584 ^ [], 583 ^ []], -(415 ^ [585 ^ [], 584 ^ [], 583 ^ []] = 585 ^ [])],extension(4 ^ 7,bind([[_80864, _80866], [415 ^ [585 ^ [], 584 ^ [], 583 ^ []], 585 ^ []]]))).
% 1.10/1.36 ncf('1.1.2.1.1',plain,[415 ^ [585 ^ [], 584 ^ [], 583 ^ []] = 585 ^ [], -(apply(583 ^ [], 415 ^ [585 ^ [], 584 ^ [], 583 ^ []], 585 ^ [])), apply(583 ^ [], 415 ^ [585 ^ [], 584 ^ [], 583 ^ []], 415 ^ [585 ^ [], 584 ^ [], 583 ^ []]), 583 ^ [] = 583 ^ [], 415 ^ [585 ^ [], 584 ^ [], 583 ^ []] = 415 ^ [585 ^ [], 584 ^ [], 583 ^ []]],extension(164 ^ 8,bind([[_86341, _86343, _86345, _86347, _86349, _86351], [585 ^ [], 415 ^ [585 ^ [], 584 ^ [], 583 ^ []], 415 ^ [585 ^ [], 584 ^ [], 583 ^ []], 415 ^ [585 ^ [], 584 ^ [], 583 ^ []], 583 ^ [], 583 ^ []]]))).
% 1.10/1.36 ncf('1.1.2.1.1.1',plain,[apply(583 ^ [], 415 ^ [585 ^ [], 584 ^ [], 583 ^ []], 585 ^ [])],extension(419 ^ 9)).
% 1.10/1.36 ncf('1.1.2.1.1.2',plain,[-(apply(583 ^ [], 415 ^ [585 ^ [], 584 ^ [], 583 ^ []], 415 ^ [585 ^ [], 584 ^ [], 583 ^ []])), 328 : member(415 ^ [585 ^ [], 584 ^ [], 583 ^ []], 584 ^ []), 328 : member(415 ^ [585 ^ [], 584 ^ [], 583 ^ []], 584 ^ []), 328 : -(apply(583 ^ [], 415 ^ [585 ^ [], 584 ^ [], 583 ^ []], 415 ^ [585 ^ [], 584 ^ [], 583 ^ []])), 328 : total_order(583 ^ [], 584 ^ [])],extension(322 ^ 9,bind([[_92086, _92088, _92328, _92330], [584 ^ [], 583 ^ [], 415 ^ [585 ^ [], 584 ^ [], 583 ^ []], 415 ^ [585 ^ [], 584 ^ [], 583 ^ []]]]))).
% 1.10/1.36 ncf('1.1.2.1.1.2.1',plain,[-(member(415 ^ [585 ^ [], 584 ^ [], 583 ^ []], 584 ^ []))],reduction('1.1')).
% 1.10/1.36 ncf('1.1.2.1.1.2.2',plain,[-(member(415 ^ [585 ^ [], 584 ^ [], 583 ^ []], 584 ^ []))],lemmata('[1, 1, 2, 1, 1].x')).
% 1.10/1.36 ncf('1.1.2.1.1.2.3',plain,[apply(583 ^ [], 415 ^ [585 ^ [], 584 ^ [], 583 ^ []], 415 ^ [585 ^ [], 584 ^ [], 583 ^ []])],reduction('1.1.2.1.1')).
% 1.10/1.36 ncf('1.1.2.1.1.2.4',plain,[-(total_order(583 ^ [], 584 ^ []))],extension(587 ^ 10)).
% 1.10/1.36 ncf('1.1.2.1.1.3',plain,[-(583 ^ [] = 583 ^ [])],extension(2 ^ 9,bind([[_80757], [583 ^ []]]))).
% 1.10/1.36 ncf('1.1.2.1.1.4',plain,[-(415 ^ [585 ^ [], 584 ^ [], 583 ^ []] = 415 ^ [585 ^ [], 584 ^ [], 583 ^ []])],extension(2 ^ 9,bind([[_80757], [415 ^ [585 ^ [], 584 ^ [], 583 ^ []]]]))).
% 1.10/1.36 ncf('1.1.2.2',plain,[-(apply(583 ^ [], 585 ^ [], 415 ^ [585 ^ [], 584 ^ [], 583 ^ []])), 328 : member(585 ^ [], 584 ^ []), 328 : member(415 ^ [585 ^ [], 584 ^ [], 583 ^ []], 584 ^ []), 328 : -(apply(583 ^ [], 415 ^ [585 ^ [], 584 ^ [], 583 ^ []], 585 ^ [])), 328 : total_order(583 ^ [], 584 ^ [])],extension(322 ^ 7,bind([[_92086, _92088, _92328, _92330], [584 ^ [], 583 ^ [], 415 ^ [585 ^ [], 584 ^ [], 583 ^ []], 585 ^ []]]))).
% 1.10/1.36 ncf('1.1.2.2.1',plain,[-(member(585 ^ [], 584 ^ []))],extension(452 ^ 10)).
% 1.10/1.36 ncf('1.1.2.2.2',plain,[-(member(415 ^ [585 ^ [], 584 ^ [], 583 ^ []], 584 ^ []))],reduction('1.1')).
% 1.10/1.36 ncf('1.1.2.2.3',plain,[apply(583 ^ [], 415 ^ [585 ^ [], 584 ^ [], 583 ^ []], 585 ^ [])],extension(419 ^ 10)).
% 1.10/1.36 ncf('1.1.2.2.4',plain,[-(total_order(583 ^ [], 584 ^ []))],extension(587 ^ 8)).
% 1.10/1.36 ncf('1.1.2.3',plain,[-(max(585 ^ [], 583 ^ [], 584 ^ []))],extension(589 ^ 5)).
% 1.10/1.36 %-----------------------------------------------------
% 1.10/1.36 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------