TSTP Solution File: GRA010+2 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GRA010+2 : 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 11:12:52 EDT 2023
% Result : Theorem 0.32s 1.37s
% Output : Proof 0.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRA010+2 : TPTP v8.1.2. Bugfixed v3.2.0.
% 0.12/0.13 % Command : nanocop.sh %s %d
% 0.12/0.32 % Computer : n021.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu May 18 20:30:57 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.32/1.37
% 0.32/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.32/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.37 %-----------------------------------------------------
% 0.32/1.37 ncf(matrix, plain, [(595 ^ _93136) ^ [] : [-(complete)], (617 ^ _93136) ^ [] : [number_of_in(sequential_pairs, 596 ^ []) = number_of_in(triangles, 596 ^ [])], (600 ^ _93136) ^ [] : [-(path(597 ^ [], 598 ^ [], 596 ^ []))], (602 ^ _93136) ^ [_114577, _114579] : [-(triangle(_114579, _114577, 613 ^ [_114577, _114579])), on_path(_114579, 596 ^ []), on_path(_114577, 596 ^ []), sequential(_114579, _114577)], (168 ^ _93136) ^ [_98738, _98740, _98742, _98744] : [-(path_cons(_98744, _98740) = path_cons(_98742, _98738)), _98744 = _98742, _98740 = _98738], (178 ^ _93136) ^ [_99069, _99071] : [_99071 = _99069, -(tail_of(_99071) = tail_of(_99069))], (184 ^ _93136) ^ [_99287, _99289] : [_99289 = _99287, -(head_of(_99289) = head_of(_99287))], (190 ^ _93136) ^ [_99533, _99535, _99537, _99539] : [-(minus(_99539, _99535) = minus(_99537, _99533)), _99539 = _99537, _99535 = _99533], (200 ^ _93136) ^ [_99864, _99866] : [_99866 = _99864, -(length_of(_99866) = length_of(_99864))], (206 ^ _93136) ^ [_100090, _100092, _100094, _100096] : [-(number_of_in(_100096, _100092) = number_of_in(_100094, _100090)), _100096 = _100094, _100092 = _100090], (2 ^ _93136) ^ [_93280] : [-(_93280 = _93280)], (4 ^ _93136) ^ [_93387, _93389] : [_93389 = _93387, -(_93387 = _93389)], (10 ^ _93136) ^ [_93591, _93593, _93595] : [-(_93595 = _93591), _93595 = _93593, _93593 = _93591], (20 ^ _93136) ^ [_93932, _93934, _93936, _93938] : [-(in_path(_93936, _93932)), in_path(_93938, _93934), _93938 = _93936, _93934 = _93932], (34 ^ _93136) ^ [_94348, _94350] : [-(vertex(_94348)), _94350 = _94348, vertex(_94350)], (44 ^ _93136) ^ [_94643, _94645] : [-(edge(_94643)), _94645 = _94643, edge(_94645)], (54 ^ _93136) ^ [_94966, _94968, _94970, _94972] : [-(less_or_equal(_94970, _94966)), less_or_equal(_94972, _94968), _94972 = _94970, _94968 = _94966], (68 ^ _93136) ^ [_95438, _95440, _95442, _95444, _95446, _95448] : [-(shortest_path(_95446, _95442, _95438)), shortest_path(_95448, _95444, _95440), _95448 = _95446, _95444 = _95442, _95440 = _95438], (86 ^ _93136) ^ [_96047, _96049, _96051, _96053, _96055, _96057] : [-(precedes(_96055, _96051, _96047)), precedes(_96057, _96053, _96049), _96057 = _96055, _96053 = _96051, _96049 = _96047], (104 ^ _93136) ^ [_96656, _96658, _96660, _96662, _96664, _96666] : [-(path(_96664, _96660, _96656)), path(_96666, _96662, _96658), _96666 = _96664, _96662 = _96660, _96658 = _96656], (122 ^ _93136) ^ [_97237, _97239, _97241, _97243] : [-(on_path(_97241, _97237)), on_path(_97243, _97239), _97243 = _97241, _97239 = _97237], (136 ^ _93136) ^ [_97681, _97683, _97685, _97687] : [-(sequential(_97685, _97681)), sequential(_97687, _97683), _97687 = _97685, _97683 = _97681], (150 ^ _93136) ^ [_98133, _98135, _98137, _98139, _98141, _98143] : [-(triangle(_98141, _98137, _98133)), triangle(_98143, _98139, _98135), _98143 = _98141, _98139 = _98137, _98135 = _98133], (502 ^ _93136) ^ [_110853, _110855, _110857] : [triangle(_110857, _110855, _110853), 505 ^ _93136 : [(506 ^ _93136) ^ [] : [-(edge(_110857))], (508 ^ _93136) ^ [] : [-(edge(_110855))], (510 ^ _93136) ^ [] : [-(edge(_110853))], (512 ^ _93136) ^ [] : [-(sequential(_110857, _110855))], (514 ^ _93136) ^ [] : [-(sequential(_110855, _110853))], (516 ^ _93136) ^ [] : [-(sequential(_110853, _110857))]]], (518 ^ _93136) ^ [_111398, _111400, _111402] : [-(triangle(_111402, _111400, _111398)), edge(_111402), edge(_111400), edge(_111398), sequential(_111402, _111400), sequential(_111400, _111398), sequential(_111398, _111402)], (544 ^ _93136) ^ [_112091, _112093, _112095] : [path(_112095, _112093, _112091), -(length_of(_112091) = number_of_in(edges, _112091))], (550 ^ _93136) ^ [_112333, _112335, _112337] : [path(_112337, _112335, _112333), -(number_of_in(sequential_pairs, _112333) = minus(length_of(_112333), n1))], (556 ^ _93136) ^ [_112581, _112583, _112585] : [-(number_of_in(sequential_pairs, _112585) = number_of_in(triangles, _112585)), path(_112583, _112581, _112585), 563 ^ _93136 : [(564 ^ _93136) ^ [] : [-(on_path(561 ^ [_112581, _112583, _112585], _112585))], (566 ^ _93136) ^ [] : [-(on_path(562 ^ [_112581, _112583, _112585], _112585))], (568 ^ _93136) ^ [] : [-(sequential(561 ^ [_112581, _112583, _112585], 562 ^ [_112581, _112583, _112585]))], (570 ^ _93136) ^ [_113201] : [triangle(561 ^ [_112581, _112583, _112585], 562 ^ [_112581, _112583, _112585], _113201)]]], (574 ^ _93136) ^ [_113387, _113389] : [-(less_or_equal(number_of_in(_113389, _113387), number_of_in(_113389, graph)))], (576 ^ _93136) ^ [] : [complete, 579 ^ _93136 : [(580 ^ _93136) ^ [_113586, _113588, _113590, _113592, _113594] : [-(triangle(_113590, _113588, 591 ^ [_113586, _113588, _113590, _113592, _113594])), shortest_path(_113594, _113592, _113586), precedes(_113590, _113588, _113586), sequential(_113590, _113588)]]], (216 ^ _93136) ^ [_100449] : [edge(_100449), head_of(_100449) = tail_of(_100449)], (222 ^ _93136) ^ [_100646] : [edge(_100646), 225 ^ _93136 : [(226 ^ _93136) ^ [] : [-(vertex(head_of(_100646)))], (228 ^ _93136) ^ [] : [-(vertex(tail_of(_100646)))]]], (230 ^ _93136) ^ [] : [complete, 233 ^ _93136 : [(234 ^ _93136) ^ [_100987, _100989] : [vertex(_100989), vertex(_100987), -(_100989 = _100987), 246 ^ _93136 : [(247 ^ _93136) ^ [] : [-(edge(245 ^ [_100987, _100989]))], (249 ^ _93136) ^ [] : [250 ^ _93136 : [(251 ^ _93136) ^ [] : [-(_100989 = head_of(245 ^ [_100987, _100989]))], (253 ^ _93136) ^ [] : [-(_100987 = tail_of(245 ^ [_100987, _100989]))], (255 ^ _93136) ^ [] : [_100987 = head_of(245 ^ [_100987, _100989]), _100989 = tail_of(245 ^ [_100987, _100989])]], 260 ^ _93136 : [(261 ^ _93136) ^ [] : [-(_100987 = head_of(245 ^ [_100987, _100989]))], (263 ^ _93136) ^ [] : [-(_100989 = tail_of(245 ^ [_100987, _100989]))], (265 ^ _93136) ^ [] : [_100989 = head_of(245 ^ [_100987, _100989]), _100987 = tail_of(245 ^ [_100987, _100989])]]]]]]], (271 ^ _93136) ^ [_102195, _102197, _102199] : [-(path(_102199, _102197, _102195)), vertex(_102199), vertex(_102197), 280 ^ _93136 : [(281 ^ _93136) ^ [_102505] : [edge(_102505), _102199 = tail_of(_102505), 288 ^ _93136 : [(289 ^ _93136) ^ [] : [_102197 = head_of(_102505), _102195 = path_cons(_102505, empty)], (295 ^ _93136) ^ [_102939] : [path(head_of(_102505), _102197, _102939), _102195 = path_cons(_102505, _102939)]]]]], (303 ^ _93136) ^ [_103273, _103275, _103277] : [path(_103277, _103275, _103273), 306 ^ _93136 : [(307 ^ _93136) ^ [] : [-(vertex(_103277))], (309 ^ _93136) ^ [] : [-(vertex(_103275))], (312 ^ _93136) ^ [] : [-(edge(310 ^ [_103273, _103275, _103277]))], (314 ^ _93136) ^ [] : [-(_103277 = tail_of(310 ^ [_103273, _103275, _103277]))], (316 ^ _93136) ^ [] : [317 ^ _93136 : [(318 ^ _93136) ^ [] : [-(_103275 = head_of(310 ^ [_103273, _103275, _103277]))], (320 ^ _93136) ^ [] : [-(_103273 = path_cons(310 ^ [_103273, _103275, _103277], empty))], (322 ^ _93136) ^ [_104062] : [path(head_of(310 ^ [_103273, _103275, _103277]), _103275, _104062), _103273 = path_cons(310 ^ [_103273, _103275, _103277], _104062)]], 328 ^ _93136 : [(329 ^ _93136) ^ [] : [-(path(head_of(310 ^ [_103273, _103275, _103277]), _103275, 327 ^ [_103273, _103275, _103277]))], (331 ^ _93136) ^ [] : [-(_103273 = path_cons(310 ^ [_103273, _103275, _103277], 327 ^ [_103273, _103275, _103277]))], (333 ^ _93136) ^ [] : [_103275 = head_of(310 ^ [_103273, _103275, _103277]), _103273 = path_cons(310 ^ [_103273, _103275, _103277], empty)]]]]], (339 ^ _93136) ^ [_104808, _104810, _104812, _104814] : [346 ^ _93136 : [(347 ^ _93136) ^ [] : [-(edge(_104808))], (349 ^ _93136) ^ [] : [-(in_path(head_of(_104808), _104810))], (351 ^ _93136) ^ [] : [-(in_path(tail_of(_104808), _104810))]], path(_104814, _104812, _104810), on_path(_104808, _104810)], (353 ^ _93136) ^ [_105320, _105322, _105324, _105326] : [path(_105326, _105324, _105322), in_path(_105320, _105322), 360 ^ _93136 : [(361 ^ _93136) ^ [] : [-(vertex(_105320))], (364 ^ _93136) ^ [] : [-(on_path(362 ^ [_105320, _105322, _105324, _105326], _105322))], (366 ^ _93136) ^ [] : [-(_105320 = head_of(362 ^ [_105320, _105322, _105324, _105326])), -(_105320 = tail_of(362 ^ [_105320, _105322, _105324, _105326]))]]], (372 ^ _93136) ^ [_106040, _106042] : [sequential(_106042, _106040), 375 ^ _93136 : [(376 ^ _93136) ^ [] : [-(edge(_106042))], (378 ^ _93136) ^ [] : [-(edge(_106040))], (380 ^ _93136) ^ [] : [_106042 = _106040], (382 ^ _93136) ^ [] : [-(head_of(_106042) = tail_of(_106040))]]], (384 ^ _93136) ^ [_106430, _106432] : [-(sequential(_106432, _106430)), edge(_106432), edge(_106430), -(_106432 = _106430), head_of(_106432) = tail_of(_106430)], (402 ^ _93136) ^ [_106930, _106932, _106934] : [path(_106932, _106930, _106934), 405 ^ _93136 : [(406 ^ _93136) ^ [_107123, _107125] : [-(precedes(_107125, _107123, _106934)), on_path(_107125, _106934), on_path(_107123, _106934), 415 ^ _93136 : [(416 ^ _93136) ^ [] : [sequential(_107125, _107123)], (418 ^ _93136) ^ [_107500] : [sequential(_107125, _107500), precedes(_107500, _107123, _106934)]]]]], (426 ^ _93136) ^ [_107832, _107834, _107836] : [path(_107834, _107832, _107836), 429 ^ _93136 : [(430 ^ _93136) ^ [_108027, _108029] : [precedes(_108029, _108027, _107836), 433 ^ _93136 : [(434 ^ _93136) ^ [] : [-(on_path(_108029, _107836))], (436 ^ _93136) ^ [] : [-(on_path(_108027, _107836))], (438 ^ _93136) ^ [] : [448 ^ _93136 : [(449 ^ _93136) ^ [] : [-(sequential(_108029, 447 ^ [_107832, _107834, _107836, _108027, _108029]))], (451 ^ _93136) ^ [] : [-(precedes(447 ^ [_107832, _107834, _107836, _108027, _108029], _108027, _107836))], (453 ^ _93136) ^ [] : [sequential(_108029, _108027)]], 439 ^ _93136 : [(440 ^ _93136) ^ [] : [-(sequential(_108029, _108027))], (442 ^ _93136) ^ [_108470] : [sequential(_108029, _108470), precedes(_108470, _108027, _107836)]]]]]]], (486 ^ _93136) ^ [_110173, _110175, _110177, _110179, _110181] : [shortest_path(_110181, _110179, _110173), precedes(_110177, _110175, _110173), 493 ^ _93136 : [(500 ^ _93136) ^ [] : [precedes(_110175, _110177, _110173)], (494 ^ _93136) ^ [_110466] : [tail_of(_110466) = tail_of(_110177), head_of(_110466) = head_of(_110175)]]], (455 ^ _93136) ^ [_109072, _109074, _109076] : [shortest_path(_109076, _109074, _109072), 458 ^ _93136 : [(459 ^ _93136) ^ [] : [-(path(_109076, _109074, _109072))], (461 ^ _93136) ^ [] : [_109076 = _109074], (463 ^ _93136) ^ [_109371] : [path(_109076, _109074, _109371), -(less_or_equal(length_of(_109072), length_of(_109371)))]]], (469 ^ _93136) ^ [_109570, _109572, _109574] : [-(shortest_path(_109574, _109572, _109570)), path(_109574, _109572, _109570), -(_109574 = _109572), 479 ^ _93136 : [(480 ^ _93136) ^ [] : [-(path(_109574, _109572, 478 ^ [_109570, _109572, _109574]))], (482 ^ _93136) ^ [] : [less_or_equal(length_of(_109570), length_of(478 ^ [_109570, _109572, _109574]))]]]], input).
% 0.32/1.37 ncf('1',plain,[number_of_in(sequential_pairs, 596 ^ []) = number_of_in(triangles, 596 ^ [])],start(617 ^ 0)).
% 0.32/1.37 ncf('1.1',plain,[-(number_of_in(sequential_pairs, 596 ^ []) = number_of_in(triangles, 596 ^ [])), path(597 ^ [], 598 ^ [], 596 ^ []), 564 : -(on_path(561 ^ [598 ^ [], 597 ^ [], 596 ^ []], 596 ^ []))],extension(556 ^ 1,bind([[_112581, _112583, _112585], [598 ^ [], 597 ^ [], 596 ^ []]]))).
% 0.32/1.37 ncf('1.1.1',plain,[-(path(597 ^ [], 598 ^ [], 596 ^ []))],extension(600 ^ 2)).
% 0.32/1.37 ncf('1.1.2',plain,[on_path(561 ^ [598 ^ [], 597 ^ [], 596 ^ []], 596 ^ []), -(triangle(561 ^ [598 ^ [], 597 ^ [], 596 ^ []], 562 ^ [598 ^ [], 597 ^ [], 596 ^ []], 613 ^ [562 ^ [598 ^ [], 597 ^ [], 596 ^ []], 561 ^ [598 ^ [], 597 ^ [], 596 ^ []]])), on_path(562 ^ [598 ^ [], 597 ^ [], 596 ^ []], 596 ^ []), sequential(561 ^ [598 ^ [], 597 ^ [], 596 ^ []], 562 ^ [598 ^ [], 597 ^ [], 596 ^ []])],extension(602 ^ 4,bind([[_114577, _114579], [562 ^ [598 ^ [], 597 ^ [], 596 ^ []], 561 ^ [598 ^ [], 597 ^ [], 596 ^ []]]]))).
% 0.32/1.37 ncf('1.1.2.1',plain,[triangle(561 ^ [598 ^ [], 597 ^ [], 596 ^ []], 562 ^ [598 ^ [], 597 ^ [], 596 ^ []], 613 ^ [562 ^ [598 ^ [], 597 ^ [], 596 ^ []], 561 ^ [598 ^ [], 597 ^ [], 596 ^ []]])],extension(570 ^ 5,bind([[_113201], [613 ^ [562 ^ [598 ^ [], 597 ^ [], 596 ^ []], 561 ^ [598 ^ [], 597 ^ [], 596 ^ []]]]]))).
% 0.32/1.37 ncf('1.1.2.2',plain,[-(on_path(562 ^ [598 ^ [], 597 ^ [], 596 ^ []], 596 ^ []))],extension(566 ^ 5)).
% 0.32/1.37 ncf('1.1.2.3',plain,[-(sequential(561 ^ [598 ^ [], 597 ^ [], 596 ^ []], 562 ^ [598 ^ [], 597 ^ [], 596 ^ []]))],extension(568 ^ 5)).
% 0.32/1.37 %-----------------------------------------------------
% 0.32/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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