%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GRA002+3 : TPTP v8.1.2. Bugfixed v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n021.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 11:12:51 EDT 2023

% Result   : Theorem 77.44s 75.02s
% Output   : Proof 77.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : GRA002+3 : TPTP v8.1.2. Bugfixed v3.2.0.
% 0.06/0.11  % Command  : nanocop.sh %s %d
% 0.10/0.31  % Computer : n021.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Thu May 18 20:36:27 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 77.44/75.02  
% 77.44/75.02  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 77.44/75.02  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 77.44/75.02  %-----------------------------------------------------
% 77.44/75.02  ncf(matrix, plain, [(602 ^ _120042) ^ [] : [less_or_equal(minus(length_of(596 ^ []), n1), number_of_in(triangles, graph))], (600 ^ _120042) ^ [] : [-(shortest_path(597 ^ [], 598 ^ [], 596 ^ []))], (595 ^ _120042) ^ [] : [-(complete)], !, (518 ^ _99087) ^ [_117329, _117331, _117333] : [-(triangle(_117333, _117331, _117329)), edge(_117333), edge(_117331), edge(_117329), sequential(_117333, _117331), sequential(_117331, _117329), sequential(_117329, _117333)], (184 ^ _99087) ^ [_105218, _105220] : [_105220 = _105218, -(head_of(_105220) = head_of(_105218))], (2 ^ _99087) ^ [_99211] : [-(_99211 = _99211)], (426 ^ _99087) ^ [_113763, _113765, _113767] : [path(_113765, _113763, _113767), 429 ^ _99087 : [(430 ^ _99087) ^ [_113958, _113960] : [precedes(_113960, _113958, _113767), 433 ^ _99087 : [(438 ^ _99087) ^ [] : [448 ^ _99087 : [(453 ^ _99087) ^ [] : [sequential(_113960, _113958)], (451 ^ _99087) ^ [] : [-(precedes(447 ^ [_113763, _113765, _113767, _113958, _113960], _113958, _113767))], (449 ^ _99087) ^ [] : [-(sequential(_113960, 447 ^ [_113763, _113765, _113767, _113958, _113960]))]], 439 ^ _99087 : [(442 ^ _99087) ^ [_114401] : [sequential(_113960, _114401), precedes(_114401, _113958, _113767)], (440 ^ _99087) ^ [] : [-(sequential(_113960, _113958))]]], (436 ^ _99087) ^ [] : [-(on_path(_113958, _113767))], (434 ^ _99087) ^ [] : [-(on_path(_113960, _113767))]]]]], (4 ^ _99087) ^ [_99318, _99320] : [_99320 = _99318, -(_99318 = _99320)], (544 ^ _99087) ^ [_118022, _118024, _118026] : [path(_118026, _118024, _118022), -(length_of(_118022) = number_of_in(edges, _118022))], (574 ^ _99087) ^ [_119318, _119320] : [-(less_or_equal(number_of_in(_119320, _119318), number_of_in(_119320, graph)))], (372 ^ _99087) ^ [_111971, _111973] : [sequential(_111973, _111971), 375 ^ _99087 : [(378 ^ _99087) ^ [] : [-(edge(_111971))], (380 ^ _99087) ^ [] : [_111973 = _111971], (382 ^ _99087) ^ [] : [-(head_of(_111973) = tail_of(_111971))], (376 ^ _99087) ^ [] : [-(edge(_111973))]]], (469 ^ _99087) ^ [_115501, _115503, _115505] : [-(shortest_path(_115505, _115503, _115501)), path(_115505, _115503, _115501), -(_115505 = _115503), 479 ^ _99087 : [(482 ^ _99087) ^ [] : [less_or_equal(length_of(_115501), length_of(478 ^ [_115501, _115503, _115505]))], (480 ^ _99087) ^ [] : [-(path(_115505, _115503, 478 ^ [_115501, _115503, _115505]))]]], (216 ^ _99087) ^ [_106380] : [edge(_106380), head_of(_106380) = tail_of(_106380)], (136 ^ _99087) ^ [_103640, _103642, _103644, _103646, _103648, _103650] : [-(shortest_path(_103648, _103644, _103640)), shortest_path(_103650, _103646, _103642), _103650 = _103648, _103646 = _103644, _103642 = _103640], (34 ^ _99087) ^ [_100279, _100281] : [-(vertex(_100279)), _100281 = _100279, vertex(_100281)], (402 ^ _99087) ^ [_112861, _112863, _112865] : [path(_112863, _112861, _112865), 405 ^ _99087 : [(406 ^ _99087) ^ [_113054, _113056] : [-(precedes(_113056, _113054, _112865)), on_path(_113056, _112865), on_path(_113054, _112865), 415 ^ _99087 : [(418 ^ _99087) ^ [_113431] : [sequential(_113056, _113431), precedes(_113431, _113054, _112865)], (416 ^ _99087) ^ [] : [sequential(_113056, _113054)]]]]], (339 ^ _99087) ^ [_110739, _110741, _110743, _110745] : [346 ^ _99087 : [(351 ^ _99087) ^ [] : [-(in_path(tail_of(_110739), _110741))], (349 ^ _99087) ^ [] : [-(in_path(head_of(_110739), _110741))], (347 ^ _99087) ^ [] : [-(edge(_110739))]], path(_110745, _110743, _110741), on_path(_110739, _110741)], (486 ^ _99087) ^ [_116104, _116106, _116108, _116110, _116112] : [shortest_path(_116112, _116110, _116104), precedes(_116108, _116106, _116104), 493 ^ _99087 : [(494 ^ _99087) ^ [_116397] : [tail_of(_116397) = tail_of(_116108), head_of(_116397) = head_of(_116106)], (500 ^ _99087) ^ [] : [precedes(_116106, _116108, _116104)]]], (154 ^ _99087) ^ [_104201, _104203, _104205, _104207] : [-(less_or_equal(_104205, _104201)), less_or_equal(_104207, _104203), _104207 = _104205, _104203 = _104201], (556 ^ _99087) ^ [_118512, _118514, _118516] : [-(number_of_in(sequential_pairs, _118516) = number_of_in(triangles, _118516)), path(_118514, _118512, _118516), 563 ^ _99087 : [(566 ^ _99087) ^ [] : [-(on_path(562 ^ [_118512, _118514, _118516], _118516))], (568 ^ _99087) ^ [] : [-(sequential(561 ^ [_118512, _118514, _118516], 562 ^ [_118512, _118514, _118516]))], (570 ^ _99087) ^ [_119132] : [triangle(561 ^ [_118512, _118514, _118516], 562 ^ [_118512, _118514, _118516], _119132)], (564 ^ _99087) ^ [] : [-(on_path(561 ^ [_118512, _118514, _118516], _118516))]]], (168 ^ _99087) ^ [_104669, _104671, _104673, _104675] : [-(path_cons(_104675, _104671) = path_cons(_104673, _104669)), _104675 = _104673, _104671 = _104669], (178 ^ _99087) ^ [_105000, _105002] : [_105002 = _105000, -(tail_of(_105002) = tail_of(_105000))], (303 ^ _99087) ^ [_109204, _109206, _109208] : [path(_109208, _109206, _109204), 306 ^ _99087 : [(307 ^ _99087) ^ [] : [-(vertex(_109208))], (312 ^ _99087) ^ [] : [-(edge(310 ^ [_109204, _109206, _109208]))], (316 ^ _99087) ^ [] : [317 ^ _99087 : [(322 ^ _99087) ^ [_109993] : [path(head_of(310 ^ [_109204, _109206, _109208]), _109206, _109993), _109204 = path_cons(310 ^ [_109204, _109206, _109208], _109993)], (320 ^ _99087) ^ [] : [-(_109204 = path_cons(310 ^ [_109204, _109206, _109208], empty))], (318 ^ _99087) ^ [] : [-(_109206 = head_of(310 ^ [_109204, _109206, _109208]))]], 328 ^ _99087 : [(333 ^ _99087) ^ [] : [_109206 = head_of(310 ^ [_109204, _109206, _109208]), _109204 = path_cons(310 ^ [_109204, _109206, _109208], empty)], (331 ^ _99087) ^ [] : [-(_109204 = path_cons(310 ^ [_109204, _109206, _109208], 327 ^ [_109204, _109206, _109208]))], (329 ^ _99087) ^ [] : [-(path(head_of(310 ^ [_109204, _109206, _109208]), _109206, 327 ^ [_109204, _109206, _109208]))]]], (314 ^ _99087) ^ [] : [-(_109208 = tail_of(310 ^ [_109204, _109206, _109208]))], (309 ^ _99087) ^ [] : [-(vertex(_109206))]]], (86 ^ _99087) ^ [_101978, _101980, _101982, _101984, _101986, _101988] : [-(precedes(_101986, _101982, _101978)), precedes(_101988, _101984, _101980), _101988 = _101986, _101984 = _101982, _101980 = _101978], (54 ^ _99087) ^ [_100925, _100927, _100929, _100931, _100933, _100935] : [-(path(_100933, _100929, _100925)), path(_100935, _100931, _100927), _100935 = _100933, _100931 = _100929, _100927 = _100925], (20 ^ _99087) ^ [_99863, _99865, _99867, _99869] : [-(in_path(_99867, _99863)), in_path(_99869, _99865), _99869 = _99867, _99865 = _99863], (206 ^ _99087) ^ [_106021, _106023, _106025, _106027] : [-(number_of_in(_106027, _106023) = number_of_in(_106025, _106021)), _106027 = _106025, _106023 = _106021], (190 ^ _99087) ^ [_105464, _105466, _105468, _105470] : [-(minus(_105470, _105466) = minus(_105468, _105464)), _105470 = _105468, _105466 = _105464], (10 ^ _99087) ^ [_99522, _99524, _99526] : [-(_99526 = _99522), _99526 = _99524, _99524 = _99522], (44 ^ _99087) ^ [_100574, _100576] : [-(edge(_100574)), _100576 = _100574, edge(_100576)], (271 ^ _99087) ^ [_108126, _108128, _108130] : [-(path(_108130, _108128, _108126)), vertex(_108130), vertex(_108128), 280 ^ _99087 : [(281 ^ _99087) ^ [_108436] : [edge(_108436), _108130 = tail_of(_108436), 288 ^ _99087 : [(295 ^ _99087) ^ [_108870] : [path(head_of(_108436), _108128, _108870), _108126 = path_cons(_108436, _108870)], (289 ^ _99087) ^ [] : [_108128 = head_of(_108436), _108126 = path_cons(_108436, empty)]]]]], (550 ^ _99087) ^ [_118264, _118266, _118268] : [path(_118268, _118266, _118264), -(number_of_in(sequential_pairs, _118264) = minus(length_of(_118264), n1))], (384 ^ _99087) ^ [_112361, _112363] : [-(sequential(_112363, _112361)), edge(_112363), edge(_112361), -(_112363 = _112361), head_of(_112363) = tail_of(_112361)], (118 ^ _99087) ^ [_103031, _103033, _103035, _103037, _103039, _103041] : [-(triangle(_103039, _103035, _103031)), triangle(_103041, _103037, _103033), _103041 = _103039, _103037 = _103035, _103033 = _103031], (353 ^ _99087) ^ [_111251, _111253, _111255, _111257] : [path(_111257, _111255, _111253), in_path(_111251, _111253), 360 ^ _99087 : [(366 ^ _99087) ^ [] : [-(_111251 = head_of(362 ^ [_111251, _111253, _111255, _111257])), -(_111251 = tail_of(362 ^ [_111251, _111253, _111255, _111257]))], (364 ^ _99087) ^ [] : [-(on_path(362 ^ [_111251, _111253, _111255, _111257], _111253))], (361 ^ _99087) ^ [] : [-(vertex(_111251))]]], (72 ^ _99087) ^ [_101506, _101508, _101510, _101512] : [-(on_path(_101510, _101506)), on_path(_101512, _101508), _101512 = _101510, _101508 = _101506], (455 ^ _99087) ^ [_115003, _115005, _115007] : [shortest_path(_115007, _115005, _115003), 458 ^ _99087 : [(463 ^ _99087) ^ [_115302] : [path(_115007, _115005, _115302), -(less_or_equal(length_of(_115003), length_of(_115302)))], (461 ^ _99087) ^ [] : [_115007 = _115005], (459 ^ _99087) ^ [] : [-(path(_115007, _115005, _115003))]]], (230 ^ _99087) ^ [] : [complete, 233 ^ _99087 : [(234 ^ _99087) ^ [_106918, _106920] : [vertex(_106920), vertex(_106918), -(_106920 = _106918), 246 ^ _99087 : [(249 ^ _99087) ^ [] : [250 ^ _99087 : [(255 ^ _99087) ^ [] : [_106918 = head_of(245 ^ [_106918, _106920]), _106920 = tail_of(245 ^ [_106918, _106920])], (253 ^ _99087) ^ [] : [-(_106918 = tail_of(245 ^ [_106918, _106920]))], (251 ^ _99087) ^ [] : [-(_106920 = head_of(245 ^ [_106918, _106920]))]], 260 ^ _99087 : [(265 ^ _99087) ^ [] : [_106920 = head_of(245 ^ [_106918, _106920]), _106918 = tail_of(245 ^ [_106918, _106920])], (263 ^ _99087) ^ [] : [-(_106920 = tail_of(245 ^ [_106918, _106920]))], (261 ^ _99087) ^ [] : [-(_106918 = head_of(245 ^ [_106918, _106920]))]]], (247 ^ _99087) ^ [] : [-(edge(245 ^ [_106918, _106920]))]]]]], (200 ^ _99087) ^ [_105795, _105797] : [_105797 = _105795, -(length_of(_105797) = length_of(_105795))], (576 ^ _99087) ^ [] : [complete, 579 ^ _99087 : [(580 ^ _99087) ^ [_119517, _119519, _119521, _119523, _119525] : [-(triangle(_119521, _119519, 591 ^ [_119517, _119519, _119521, _119523, _119525])), shortest_path(_119525, _119523, _119517), precedes(_119521, _119519, _119517), sequential(_119521, _119519)]]], (222 ^ _99087) ^ [_106577] : [edge(_106577), 225 ^ _99087 : [(228 ^ _99087) ^ [] : [-(vertex(tail_of(_106577)))], (226 ^ _99087) ^ [] : [-(vertex(head_of(_106577)))]]], (104 ^ _99087) ^ [_102559, _102561, _102563, _102565] : [-(sequential(_102563, _102559)), sequential(_102565, _102561), _102565 = _102563, _102561 = _102559], (502 ^ _99087) ^ [_116784, _116786, _116788] : [triangle(_116788, _116786, _116784), 505 ^ _99087 : [(508 ^ _99087) ^ [] : [-(edge(_116786))], (506 ^ _99087) ^ [] : [-(edge(_116788))], (516 ^ _99087) ^ [] : [-(sequential(_116784, _116788))], (512 ^ _99087) ^ [] : [-(sequential(_116788, _116786))], (514 ^ _99087) ^ [] : [-(sequential(_116786, _116784))], (510 ^ _99087) ^ [] : [-(edge(_116784))]]]], input).
% 77.44/75.02  ncf('1',plain,[-(shortest_path(597 ^ [], 598 ^ [], 596 ^ []))],start(600 ^ 0)).
% 77.44/75.02  ncf('1.1',plain,[shortest_path(597 ^ [], 598 ^ [], 596 ^ []), 459 : -(path(597 ^ [], 598 ^ [], 596 ^ []))],extension(455 ^ 1,bind([[_115003, _115005, _115007], [596 ^ [], 598 ^ [], 597 ^ []]]))).
% 77.44/75.02  ncf('1.1.1',plain,[path(597 ^ [], 598 ^ [], 596 ^ []), -(number_of_in(sequential_pairs, 596 ^ []) = number_of_in(triangles, 596 ^ [])), 566 : -(on_path(562 ^ [598 ^ [], 597 ^ [], 596 ^ []], 596 ^ []))],extension(556 ^ 4,bind([[_118512, _118514, _118516], [598 ^ [], 597 ^ [], 596 ^ []]]))).
% 77.44/75.02  ncf('1.1.1.1',plain,[number_of_in(sequential_pairs, 596 ^ []) = number_of_in(triangles, 596 ^ []), -(number_of_in(triangles, 596 ^ []) = number_of_in(sequential_pairs, 596 ^ []))],extension(4 ^ 5,bind([[_99318, _99320], [number_of_in(triangles, 596 ^ []), number_of_in(sequential_pairs, 596 ^ [])]]))).
% 77.44/75.02  ncf('1.1.1.1.1',plain,[number_of_in(triangles, 596 ^ []) = number_of_in(sequential_pairs, 596 ^ []), -(less_or_equal(number_of_in(sequential_pairs, 596 ^ []), number_of_in(triangles, graph))), less_or_equal(number_of_in(triangles, 596 ^ []), number_of_in(triangles, graph)), number_of_in(triangles, graph) = number_of_in(triangles, graph)],extension(154 ^ 6,bind([[_104201, _104203, _104205, _104207], [number_of_in(triangles, graph), number_of_in(triangles, graph), number_of_in(sequential_pairs, 596 ^ []), number_of_in(triangles, 596 ^ [])]]))).
% 77.44/75.02  ncf('1.1.1.1.1.1',plain,[less_or_equal(number_of_in(sequential_pairs, 596 ^ []), number_of_in(triangles, graph)), -(less_or_equal(minus(length_of(596 ^ []), n1), number_of_in(triangles, graph))), number_of_in(sequential_pairs, 596 ^ []) = minus(length_of(596 ^ []), n1), number_of_in(triangles, graph) = number_of_in(triangles, graph)],extension(154 ^ 7,bind([[_104201, _104203, _104205, _104207], [number_of_in(triangles, graph), number_of_in(triangles, graph), minus(length_of(596 ^ []), n1), number_of_in(sequential_pairs, 596 ^ [])]]))).
% 77.44/75.02  ncf('1.1.1.1.1.1.1',plain,[less_or_equal(minus(length_of(596 ^ []), n1), number_of_in(triangles, graph))],extension(602 ^ 8)).
% 77.44/75.02  ncf('1.1.1.1.1.1.2',plain,[-(number_of_in(sequential_pairs, 596 ^ []) = minus(length_of(596 ^ []), n1)), path(597 ^ [], 598 ^ [], 596 ^ [])],extension(550 ^ 8,bind([[_118264, _118266, _118268], [596 ^ [], 598 ^ [], 597 ^ []]]))).
% 77.44/75.02  ncf('1.1.1.1.1.1.2.1',plain,[-(path(597 ^ [], 598 ^ [], 596 ^ []))],reduction('1.1')).
% 77.44/75.02  ncf('1.1.1.1.1.1.3',plain,[-(number_of_in(triangles, graph) = number_of_in(triangles, graph))],extension(2 ^ 8,bind([[_99211], [number_of_in(triangles, graph)]]))).
% 77.44/75.02  ncf('1.1.1.1.1.2',plain,[-(less_or_equal(number_of_in(triangles, 596 ^ []), number_of_in(triangles, graph)))],extension(574 ^ 7,bind([[_119318, _119320], [596 ^ [], triangles]]))).
% 77.44/75.02  ncf('1.1.1.1.1.3',plain,[-(number_of_in(triangles, graph) = number_of_in(triangles, graph))],extension(2 ^ 7,bind([[_99211], [number_of_in(triangles, graph)]]))).
% 77.44/75.02  ncf('1.1.1.2',plain,[on_path(562 ^ [598 ^ [], 597 ^ [], 596 ^ []], 596 ^ []), 406 : -(precedes(561 ^ [598 ^ [], 597 ^ [], 596 ^ []], 562 ^ [598 ^ [], 597 ^ [], 596 ^ []], 596 ^ [])), 406 : on_path(561 ^ [598 ^ [], 597 ^ [], 596 ^ []], 596 ^ []), 416 : sequential(561 ^ [598 ^ [], 597 ^ [], 596 ^ []], 562 ^ [598 ^ [], 597 ^ [], 596 ^ []]), 406 : path(597 ^ [], 598 ^ [], 596 ^ [])],extension(402 ^ 7,bind([[_112861, _112863, _112865, _113054, _113056], [598 ^ [], 597 ^ [], 596 ^ [], 562 ^ [598 ^ [], 597 ^ [], 596 ^ []], 561 ^ [598 ^ [], 597 ^ [], 596 ^ []]]]))).
% 77.44/75.02  ncf('1.1.1.2.1',plain,[precedes(561 ^ [598 ^ [], 597 ^ [], 596 ^ []], 562 ^ [598 ^ [], 597 ^ [], 596 ^ []], 596 ^ []), 453 : sequential(561 ^ [598 ^ [], 597 ^ [], 596 ^ []], 562 ^ [598 ^ [], 597 ^ [], 596 ^ []]), 440 : -(sequential(561 ^ [598 ^ [], 597 ^ [], 596 ^ []], 562 ^ [598 ^ [], 597 ^ [], 596 ^ []])), 430 : path(597 ^ [], 598 ^ [], 596 ^ [])],extension(426 ^ 10,bind([[_113763, _113765, _113767, _113958, _113960], [598 ^ [], 597 ^ [], 596 ^ [], 562 ^ [598 ^ [], 597 ^ [], 596 ^ []], 561 ^ [598 ^ [], 597 ^ [], 596 ^ []]]]))).
% 77.44/75.02  ncf('1.1.1.2.1.1',plain,[-(sequential(561 ^ [598 ^ [], 597 ^ [], 596 ^ []], 562 ^ [598 ^ [], 597 ^ [], 596 ^ []]))],extension(568 ^ 17)).
% 77.44/75.02  ncf('1.1.1.2.1.2',plain,[sequential(561 ^ [598 ^ [], 597 ^ [], 596 ^ []], 562 ^ [598 ^ [], 597 ^ [], 596 ^ []]), 580 : -(triangle(561 ^ [598 ^ [], 597 ^ [], 596 ^ []], 562 ^ [598 ^ [], 597 ^ [], 596 ^ []], 591 ^ [596 ^ [], 562 ^ [598 ^ [], 597 ^ [], 596 ^ []], 561 ^ [598 ^ [], 597 ^ [], 596 ^ []], 598 ^ [], 597 ^ []])), 580 : shortest_path(597 ^ [], 598 ^ [], 596 ^ []), 580 : precedes(561 ^ [598 ^ [], 597 ^ [], 596 ^ []], 562 ^ [598 ^ [], 597 ^ [], 596 ^ []], 596 ^ []), 580 : complete],extension(576 ^ 17,bind([[_119517, _119519, _119521, _119523, _119525], [596 ^ [], 562 ^ [598 ^ [], 597 ^ [], 596 ^ []], 561 ^ [598 ^ [], 597 ^ [], 596 ^ []], 598 ^ [], 597 ^ []]]))).
% 77.44/75.02  ncf('1.1.1.2.1.2.1',plain,[triangle(561 ^ [598 ^ [], 597 ^ [], 596 ^ []], 562 ^ [598 ^ [], 597 ^ [], 596 ^ []], 591 ^ [596 ^ [], 562 ^ [598 ^ [], 597 ^ [], 596 ^ []], 561 ^ [598 ^ [], 597 ^ [], 596 ^ []], 598 ^ [], 597 ^ []])],extension(570 ^ 20,bind([[_119132], [591 ^ [596 ^ [], 562 ^ [598 ^ [], 597 ^ [], 596 ^ []], 561 ^ [598 ^ [], 597 ^ [], 596 ^ []], 598 ^ [], 597 ^ []]]]))).
% 77.44/75.02  ncf('1.1.1.2.1.2.2',plain,[-(shortest_path(597 ^ [], 598 ^ [], 596 ^ []))],reduction('1')).
% 77.44/75.02  ncf('1.1.1.2.1.2.3',plain,[-(precedes(561 ^ [598 ^ [], 597 ^ [], 596 ^ []], 562 ^ [598 ^ [], 597 ^ [], 596 ^ []], 596 ^ []))],reduction('1.1.1.2')).
% 77.44/75.02  ncf('1.1.1.2.1.2.4',plain,[-(complete)],extension(595 ^ 18)).
% 77.44/75.02  ncf('1.1.1.2.1.3',plain,[-(path(597 ^ [], 598 ^ [], 596 ^ []))],reduction('1.1')).
% 77.44/75.02  ncf('1.1.1.2.2',plain,[-(on_path(561 ^ [598 ^ [], 597 ^ [], 596 ^ []], 596 ^ []))],extension(564 ^ 10)).
% 77.44/75.02  ncf('1.1.1.2.3',plain,[-(sequential(561 ^ [598 ^ [], 597 ^ [], 596 ^ []], 562 ^ [598 ^ [], 597 ^ [], 596 ^ []]))],extension(568 ^ 12)).
% 77.44/75.02  ncf('1.1.1.2.4',plain,[-(path(597 ^ [], 598 ^ [], 596 ^ []))],reduction('1.1')).
% 77.44/75.02  %-----------------------------------------------------
% 77.44/75.02  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------