TSTP Solution File: GEO124+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO124+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n006.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 11:11:58 EDT 2023
% Result : Theorem 1.56s 2.41s
% Output : Proof 1.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO124+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n006.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 : Fri May 19 04:27:06 EDT 2023
% 0.12/0.33 % CPUTime :
% 1.56/2.41
% 1.56/2.41 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 1.56/2.41 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.56/2.41 %-----------------------------------------------------
% 1.56/2.41 ncf(matrix, plain, [(847 ^ _106305) ^ [] : [-(start_point(844 ^ [], 843 ^ []))], (849 ^ _106305) ^ [] : [-(start_point(845 ^ [], 843 ^ []))], (851 ^ _106305) ^ [] : [844 ^ [] = 845 ^ []], (228 ^ _106305) ^ [_113918, _113920] : [_113920 = _113918, -(underlying_curve(_113920) = underlying_curve(_113918))], (218 ^ _106305) ^ [_113607, _113609, _113611, _113613] : [-(sum(_113613, _113609) = sum(_113611, _113607)), _113613 = _113611, _113609 = _113607], (2 ^ _106305) ^ [_106449] : [-(_106449 = _106449)], (4 ^ _106305) ^ [_106556, _106558] : [_106558 = _106556, -(_106556 = _106558)], (10 ^ _106305) ^ [_106760, _106762, _106764] : [-(_106764 = _106760), _106764 = _106762, _106762 = _106760], (20 ^ _106305) ^ [_107073, _107075] : [-(closed(_107073)), _107075 = _107073, closed(_107075)], (30 ^ _106305) ^ [_107424, _107426, _107428, _107430, _107432, _107434] : [-(meet(_107432, _107428, _107424)), meet(_107434, _107430, _107426), _107434 = _107432, _107430 = _107428, _107426 = _107424], (48 ^ _106305) ^ [_108005, _108007, _108009, _108011] : [-(part_of(_108009, _108005)), part_of(_108011, _108007), _108011 = _108009, _108007 = _108005], (62 ^ _106305) ^ [_108449, _108451, _108453, _108455] : [-(end_point(_108453, _108449)), end_point(_108455, _108451), _108455 = _108453, _108451 = _108449], (76 ^ _106305) ^ [_108893, _108895, _108897, _108899] : [-(inner_point(_108897, _108893)), inner_point(_108899, _108895), _108899 = _108897, _108895 = _108893], (90 ^ _106305) ^ [_109337, _109339, _109341, _109343] : [-(finish_point(_109341, _109337)), finish_point(_109343, _109339), _109343 = _109341, _109339 = _109337], (104 ^ _106305) ^ [_109837, _109839, _109841, _109843, _109845, _109847, _109849, _109851] : [-(between_o(_109849, _109845, _109841, _109837)), between_o(_109851, _109847, _109843, _109839), _109851 = _109849, _109847 = _109845, _109843 = _109841, _109839 = _109837], (126 ^ _106305) ^ [_110627, _110629, _110631, _110633, _110635, _110637, _110639, _110641] : [-(between_c(_110639, _110635, _110631, _110627)), between_c(_110641, _110637, _110633, _110629), _110641 = _110639, _110637 = _110635, _110633 = _110631, _110629 = _110627], (148 ^ _106305) ^ [_111333, _111335] : [-(open(_111333)), _111335 = _111333, open(_111335)], (158 ^ _106305) ^ [_111684, _111686, _111688, _111690, _111692, _111694] : [-(ordered_by(_111692, _111688, _111684)), ordered_by(_111694, _111690, _111686), _111694 = _111692, _111690 = _111688, _111686 = _111684], (176 ^ _106305) ^ [_112265, _112267, _112269, _112271] : [-(incident_o(_112269, _112265)), incident_o(_112271, _112267), _112271 = _112269, _112267 = _112265], (190 ^ _106305) ^ [_112709, _112711, _112713, _112715] : [-(incident_c(_112713, _112709)), incident_c(_112715, _112711), _112715 = _112713, _112711 = _112709], (204 ^ _106305) ^ [_113133, _113135, _113137, _113139] : [-(start_point(_113137, _113133)), start_point(_113139, _113135), _113139 = _113137, _113135 = _113133], (573 ^ _106305) ^ [_125892, _125894, _125896, _125898] : [between_c(_125898, _125896, _125894, _125892), 576 ^ _106305 : [(577 ^ _106305) ^ [] : [_125896 = _125892], (580 ^ _106305) ^ [] : [-(part_of(578 ^ [_125892, _125894, _125896, _125898], _125898))], (582 ^ _106305) ^ [] : [-(end_point(_125896, 578 ^ [_125892, _125894, _125896, _125898]))], (584 ^ _106305) ^ [] : [-(end_point(_125892, 578 ^ [_125892, _125894, _125896, _125898]))], (586 ^ _106305) ^ [] : [-(inner_point(_125894, 578 ^ [_125892, _125894, _125896, _125898]))]]], (588 ^ _106305) ^ [_126504, _126506, _126508, _126510] : [-(between_c(_126510, _126508, _126506, _126504)), -(_126508 = _126504), 593 ^ _106305 : [(594 ^ _106305) ^ [_126710] : [part_of(_126710, _126510), end_point(_126508, _126710), end_point(_126504, _126710), inner_point(_126506, _126710)]]], (610 ^ _106305) ^ [_127267, _127269, _127271, _127273] : [between_o(_127273, _127271, _127269, _127267), 615 ^ _106305 : [(616 ^ _106305) ^ [] : [-(ordered_by(_127273, _127271, _127269))], (618 ^ _106305) ^ [] : [-(ordered_by(_127273, _127269, _127267))]], 619 ^ _106305 : [(620 ^ _106305) ^ [] : [-(ordered_by(_127273, _127267, _127269))], (622 ^ _106305) ^ [] : [-(ordered_by(_127273, _127269, _127271))]]], (624 ^ _106305) ^ [_127709, _127711, _127713, _127715] : [-(between_o(_127715, _127713, _127711, _127709)), 625 ^ _106305 : [(626 ^ _106305) ^ [] : [ordered_by(_127715, _127713, _127711), ordered_by(_127715, _127711, _127709)], (632 ^ _106305) ^ [] : [ordered_by(_127715, _127709, _127711), ordered_by(_127715, _127711, _127713)]]], (656 ^ _106305) ^ [_128741, _128743] : [-(start_point(_128743, _128741)), incident_o(_128743, _128741), 662 ^ _106305 : [(663 ^ _106305) ^ [] : [_128743 = 661 ^ [_128741, _128743]], (665 ^ _106305) ^ [] : [-(incident_o(661 ^ [_128741, _128743], _128741))], (667 ^ _106305) ^ [] : [ordered_by(_128741, _128743, 661 ^ [_128741, _128743])]]], (640 ^ _106305) ^ [_128246, _128248] : [start_point(_128248, _128246), 643 ^ _106305 : [(644 ^ _106305) ^ [] : [-(incident_o(_128248, _128246))], (646 ^ _106305) ^ [_128464] : [-(ordered_by(_128246, _128248, _128464)), -(_128248 = _128464), incident_o(_128464, _128246)]]], (687 ^ _106305) ^ [_129806, _129808] : [-(finish_point(_129808, _129806)), incident_o(_129808, _129806), 693 ^ _106305 : [(694 ^ _106305) ^ [] : [_129808 = 692 ^ [_129806, _129808]], (696 ^ _106305) ^ [] : [-(incident_o(692 ^ [_129806, _129808], _129806))], (698 ^ _106305) ^ [] : [ordered_by(_129806, 692 ^ [_129806, _129808], _129808)]]], (671 ^ _106305) ^ [_129311, _129313] : [finish_point(_129313, _129311), 674 ^ _106305 : [(675 ^ _106305) ^ [] : [-(incident_o(_129313, _129311))], (677 ^ _106305) ^ [_129529] : [-(ordered_by(_129311, _129529, _129313)), -(_129313 = _129529), incident_o(_129529, _129311)]]], (702 ^ _106305) ^ [_130361, _130363, _130365] : [ordered_by(_130365, _130363, _130361), 705 ^ _106305 : [(706 ^ _106305) ^ [] : [-(incident_o(_130363, _130365))], (708 ^ _106305) ^ [] : [-(incident_o(_130361, _130365))]]], (711 ^ _106305) ^ [_130702] : [-(open(709 ^ [_130702]))], (713 ^ _106305) ^ [_130808, _130810] : [incident_o(_130808, _130810), -(incident_c(_130808, 709 ^ [_130810]))], (719 ^ _106305) ^ [_130980, _130982] : [incident_c(_130980, 709 ^ [_130982]), -(incident_o(_130980, _130982))], (744 ^ _106305) ^ [_132036, _132038, _132040, _132042] : [-(between_o(_132036, _132042, _132040, _132038)), 745 ^ _106305 : [(746 ^ _106305) ^ [_132147] : [between_c(_132147, _132042, _132040, _132038), 750 ^ _106305 : [(751 ^ _106305) ^ [] : [-(incident_o(747 ^ [_132036, _132038, _132040, _132042, _132147], _132036))], (753 ^ _106305) ^ [] : [incident_c(747 ^ [_132036, _132038, _132040, _132042, _132147], _132147)]], 754 ^ _106305 : [(755 ^ _106305) ^ [] : [-(incident_c(747 ^ [_132036, _132038, _132040, _132042, _132147], _132147))], (757 ^ _106305) ^ [] : [incident_o(747 ^ [_132036, _132038, _132040, _132042, _132147], _132036)]]]]], (725 ^ _106305) ^ [_131261, _131263, _131265, _131267] : [between_o(_131261, _131267, _131265, _131263), 729 ^ _106305 : [(742 ^ _106305) ^ [] : [-(between_c(728 ^ [_131261, _131263, _131265, _131267], _131267, _131265, _131263))], (730 ^ _106305) ^ [_131544] : [incident_o(_131544, _131261), -(incident_c(_131544, 728 ^ [_131261, _131263, _131265, _131267]))], (736 ^ _106305) ^ [_131754] : [incident_c(_131754, 728 ^ [_131261, _131263, _131265, _131267]), -(incident_o(_131754, _131261))]]], (764 ^ _106305) ^ [_132835] : [-(start_point(762 ^ [_132835], _132835))], (766 ^ _106305) ^ [_132961, _132963, _132965] : [open(_132961), -(_132965 = _132963), incident_c(_132965, _132961), incident_c(_132963, _132961), 782 ^ _106305 : [(795 ^ _106305) ^ [] : [-(ordered_by(781 ^ [_132961, _132963, _132965], _132965, _132963))], (783 ^ _106305) ^ [_133510] : [incident_o(_133510, 781 ^ [_132961, _132963, _132965]), -(incident_c(_133510, _132961))], (789 ^ _106305) ^ [_133708] : [incident_c(_133708, _132961), -(incident_o(_133708, 781 ^ [_132961, _132963, _132965]))]]], (797 ^ _106305) ^ [_134027, _134029] : [-(_134029 = _134027), 802 ^ _106305 : [(803 ^ _106305) ^ [] : [-(ordered_by(_134029, 798 ^ [_134027, _134029], 799 ^ [_134027, _134029]))], (805 ^ _106305) ^ [] : [ordered_by(_134027, 798 ^ [_134027, _134029], 799 ^ [_134027, _134029])]], 806 ^ _106305 : [(807 ^ _106305) ^ [] : [-(ordered_by(_134027, 798 ^ [_134027, _134029], 799 ^ [_134027, _134029]))], (809 ^ _106305) ^ [] : [ordered_by(_134029, 798 ^ [_134027, _134029], 799 ^ [_134027, _134029])]]], (829 ^ _106305) ^ [_135200, _135202] : [-(_135202 = underlying_curve(_135200)), 833 ^ _106305 : [(834 ^ _106305) ^ [] : [-(incident_o(830 ^ [_135200, _135202], _135200))], (836 ^ _106305) ^ [] : [incident_c(830 ^ [_135200, _135202], _135202)]], 837 ^ _106305 : [(838 ^ _106305) ^ [] : [-(incident_c(830 ^ [_135200, _135202], _135202))], (840 ^ _106305) ^ [] : [incident_o(830 ^ [_135200, _135202], _135200)]]], (813 ^ _106305) ^ [_134679, _134681] : [_134681 = underlying_curve(_134679), 816 ^ _106305 : [(817 ^ _106305) ^ [_134849] : [incident_o(_134849, _134679), -(incident_c(_134849, _134681))], (823 ^ _106305) ^ [_135021] : [incident_c(_135021, _134681), -(incident_o(_135021, _134679))]]], (244 ^ _106305) ^ [_114537, _114539] : [246 ^ _106305 : [(247 ^ _106305) ^ [] : [-(incident_c(245 ^ [_114537, _114539], _114537))], (249 ^ _106305) ^ [] : [incident_c(245 ^ [_114537, _114539], _114539)]], -(part_of(_114537, _114539))], (234 ^ _106305) ^ [_114223, _114225] : [part_of(_114223, _114225), 237 ^ _106305 : [(238 ^ _106305) ^ [_114360] : [incident_c(_114360, _114223), -(incident_c(_114360, _114225))]]], (275 ^ _106305) ^ [_115662, _115664, _115666] : [-(_115666 = sum(_115664, _115662)), 279 ^ _106305 : [(280 ^ _106305) ^ [] : [-(incident_c(276 ^ [_115662, _115664, _115666], _115666))], (282 ^ _106305) ^ [] : [incident_c(276 ^ [_115662, _115664, _115666], _115664)], (284 ^ _106305) ^ [] : [incident_c(276 ^ [_115662, _115664, _115666], _115662)]], 285 ^ _106305 : [(292 ^ _106305) ^ [] : [incident_c(276 ^ [_115662, _115664, _115666], _115666)], (286 ^ _106305) ^ [] : [-(incident_c(276 ^ [_115662, _115664, _115666], _115664)), -(incident_c(276 ^ [_115662, _115664, _115666], _115662))]]], (253 ^ _106305) ^ [_114937, _114939, _114941] : [_114941 = sum(_114939, _114937), 256 ^ _106305 : [(267 ^ _106305) ^ [_115397] : [268 ^ _106305 : [(269 ^ _106305) ^ [] : [incident_c(_115397, _114939)], (271 ^ _106305) ^ [] : [incident_c(_115397, _114937)]], -(incident_c(_115397, _114941))], (257 ^ _106305) ^ [_115119] : [incident_c(_115119, _114941), -(incident_c(_115119, _114939)), -(incident_c(_115119, _114937))]]], (324 ^ _106305) ^ [_117270, _117272] : [-(end_point(_117272, _117270)), incident_c(_117272, _117270), 331 ^ _106305 : [(332 ^ _106305) ^ [] : [-(part_of(329 ^ [_117270, _117272], _117270))], (334 ^ _106305) ^ [] : [-(part_of(330 ^ [_117270, _117272], _117270))], (336 ^ _106305) ^ [] : [-(incident_c(_117272, 329 ^ [_117270, _117272]))], (338 ^ _106305) ^ [] : [-(incident_c(_117272, 330 ^ [_117270, _117272]))], (340 ^ _106305) ^ [] : [part_of(329 ^ [_117270, _117272], 330 ^ [_117270, _117272])], (342 ^ _106305) ^ [] : [part_of(330 ^ [_117270, _117272], 329 ^ [_117270, _117272])]]], (296 ^ _106305) ^ [_116442, _116444] : [end_point(_116444, _116442), 299 ^ _106305 : [(300 ^ _106305) ^ [] : [-(incident_c(_116444, _116442))], (302 ^ _106305) ^ [_116694, _116696] : [-(part_of(_116696, _116694)), -(part_of(_116694, _116696)), part_of(_116696, _116442), part_of(_116694, _116442), incident_c(_116444, _116696), incident_c(_116444, _116694)]]], (346 ^ _106305) ^ [_118225, _118227] : [inner_point(_118227, _118225), 349 ^ _106305 : [(350 ^ _106305) ^ [] : [-(incident_c(_118227, _118225))], (352 ^ _106305) ^ [] : [end_point(_118227, _118225)]]], (354 ^ _106305) ^ [_118463, _118465] : [-(inner_point(_118465, _118463)), incident_c(_118465, _118463), -(end_point(_118465, _118463))], (364 ^ _106305) ^ [_118810, _118812, _118814] : [meet(_118814, _118812, _118810), 367 ^ _106305 : [(368 ^ _106305) ^ [] : [-(incident_c(_118814, _118812))], (370 ^ _106305) ^ [] : [-(incident_c(_118814, _118810))], (372 ^ _106305) ^ [_119113] : [379 ^ _106305 : [(380 ^ _106305) ^ [] : [-(end_point(_119113, _118812))], (382 ^ _106305) ^ [] : [-(end_point(_119113, _118810))]], incident_c(_119113, _118812), incident_c(_119113, _118810)]]], (384 ^ _106305) ^ [_119478, _119480, _119482] : [-(meet(_119482, _119480, _119478)), incident_c(_119482, _119480), incident_c(_119482, _119478), 394 ^ _106305 : [(395 ^ _106305) ^ [] : [-(incident_c(393 ^ [_119478, _119480, _119482], _119480))], (397 ^ _106305) ^ [] : [-(incident_c(393 ^ [_119478, _119480, _119482], _119478))], (399 ^ _106305) ^ [] : [end_point(393 ^ [_119478, _119480, _119482], _119480), end_point(393 ^ [_119478, _119480, _119482], _119478)]]], (407 ^ _106305) ^ [_120255] : [closed(_120255), 410 ^ _106305 : [(411 ^ _106305) ^ [_120366] : [end_point(_120366, _120255)]]], (413 ^ _106305) ^ [_120432] : [-(end_point(414 ^ [_120432], _120432)), -(closed(_120432))], (420 ^ _106305) ^ [_120705] : [open(_120705), -(end_point(423 ^ [_120705], _120705))], (427 ^ _106305) ^ [_120910] : [428 ^ _106305 : [(429 ^ _106305) ^ [_120977] : [end_point(_120977, _120910)]], -(open(_120910))], (433 ^ _106305) ^ [_121136, _121138] : [-(open(_121136)), part_of(_121136, _121138), -(_121136 = _121138)], (443 ^ _106305) ^ [_121464, _121466, _121468, _121470] : [part_of(_121468, _121470), part_of(_121466, _121470), part_of(_121464, _121470), 456 ^ _106305 : [(457 ^ _106305) ^ [_121875] : [end_point(_121875, _121468), end_point(_121875, _121466), end_point(_121875, _121464)]], -(part_of(_121466, _121464)), -(part_of(_121464, _121466)), -(part_of(_121468, _121466)), -(part_of(_121466, _121468)), -(part_of(_121468, _121464)), -(part_of(_121464, _121468))], (490 ^ _106305) ^ [_122754] : [-(inner_point(488 ^ [_122754], _122754))], (492 ^ _106305) ^ [_122866, _122868] : [inner_point(_122866, _122868), 497 ^ _106305 : [(498 ^ _106305) ^ [] : [-(meet(_122866, 495 ^ [_122866, _122868], 496 ^ [_122866, _122868]))], (500 ^ _106305) ^ [] : [-(_122868 = sum(495 ^ [_122866, _122868], 496 ^ [_122866, _122868]))]]], (502 ^ _106305) ^ [_123354, _123356, _123358, _123360] : [end_point(_123358, _123360), end_point(_123356, _123360), end_point(_123354, _123360), -(_123358 = _123356), -(_123358 = _123354), -(_123356 = _123354)], (524 ^ _106305) ^ [_123970, _123972] : [end_point(_123970, _123972), 528 ^ _106305 : [(529 ^ _106305) ^ [] : [-(end_point(527 ^ [_123970, _123972], _123972))], (531 ^ _106305) ^ [] : [_123970 = 527 ^ [_123970, _123972]]]], (533 ^ _106305) ^ [_124356, _124358, _124360, _124362] : [544 ^ _106305 : [(545 ^ _106305) ^ [_124702] : [end_point(_124702, _124360), -(meet(_124702, _124360, _124358))]], closed(_124362), meet(_124356, _124360, _124358), _124362 = sum(_124360, _124358)], (551 ^ _106305) ^ [_124945, _124947] : [552 ^ _106305 : [(553 ^ _106305) ^ [_125024] : [meet(_125024, _124947, _124945)]], -(554 ^ [_124945, _124947] = sum(_124947, _124945))], (558 ^ _106305) ^ [_125225, _125227] : [-(_125227 = _125225), 562 ^ _106305 : [(563 ^ _106305) ^ [] : [-(incident_c(559 ^ [_125225, _125227], _125227))], (565 ^ _106305) ^ [] : [incident_c(559 ^ [_125225, _125227], _125225)]], 566 ^ _106305 : [(567 ^ _106305) ^ [] : [-(incident_c(559 ^ [_125225, _125227], _125225))], (569 ^ _106305) ^ [] : [incident_c(559 ^ [_125225, _125227], _125227)]]]], input).
% 1.56/2.41 ncf('1',plain,[between_c(728 ^ [843 ^ [], 844 ^ [], 845 ^ [], 844 ^ []], 844 ^ [], 845 ^ [], 844 ^ []), 577 : 844 ^ [] = 844 ^ []],start(573 ^ 0,bind([[_125892, _125894, _125896, _125898], [844 ^ [], 845 ^ [], 844 ^ [], 728 ^ [843 ^ [], 844 ^ [], 845 ^ [], 844 ^ []]]]))).
% 1.56/2.41 ncf('1.1',plain,[-(between_c(728 ^ [843 ^ [], 844 ^ [], 845 ^ [], 844 ^ []], 844 ^ [], 845 ^ [], 844 ^ [])), between_o(843 ^ [], 844 ^ [], 845 ^ [], 844 ^ [])],extension(725 ^ 1,bind([[_131261, _131263, _131265, _131267], [843 ^ [], 844 ^ [], 845 ^ [], 844 ^ []]]))).
% 1.56/2.41 ncf('1.1.1',plain,[-(between_o(843 ^ [], 844 ^ [], 845 ^ [], 844 ^ [])), 626 : ordered_by(843 ^ [], 844 ^ [], 845 ^ []), 626 : ordered_by(843 ^ [], 845 ^ [], 844 ^ [])],extension(624 ^ 2,bind([[_127709, _127711, _127713, _127715], [844 ^ [], 845 ^ [], 844 ^ [], 843 ^ []]]))).
% 1.56/2.41 ncf('1.1.1.1',plain,[-(ordered_by(843 ^ [], 844 ^ [], 845 ^ [])), 646 : -(844 ^ [] = 845 ^ []), 646 : incident_o(845 ^ [], 843 ^ []), 646 : start_point(844 ^ [], 843 ^ [])],extension(640 ^ 5,bind([[_128246, _128248, _128464], [843 ^ [], 844 ^ [], 845 ^ []]]))).
% 1.56/2.41 ncf('1.1.1.1.1',plain,[844 ^ [] = 845 ^ []],extension(851 ^ 8)).
% 1.56/2.41 ncf('1.1.1.1.2',plain,[-(incident_o(845 ^ [], 843 ^ [])), start_point(845 ^ [], 843 ^ [])],extension(640 ^ 8,bind([[_128246, _128248], [843 ^ [], 845 ^ []]]))).
% 1.56/2.41 ncf('1.1.1.1.2.1',plain,[-(start_point(845 ^ [], 843 ^ []))],extension(849 ^ 9)).
% 1.56/2.41 ncf('1.1.1.1.3',plain,[-(start_point(844 ^ [], 843 ^ []))],extension(847 ^ 6)).
% 1.56/2.41 ncf('1.1.1.2',plain,[-(ordered_by(843 ^ [], 845 ^ [], 844 ^ [])), 646 : -(845 ^ [] = 844 ^ []), 646 : incident_o(844 ^ [], 843 ^ []), 646 : start_point(845 ^ [], 843 ^ [])],extension(640 ^ 5,bind([[_128246, _128248, _128464], [843 ^ [], 845 ^ [], 844 ^ []]]))).
% 1.56/2.41 ncf('1.1.1.2.1',plain,[845 ^ [] = 844 ^ [], -(844 ^ [] = 845 ^ [])],extension(4 ^ 8,bind([[_106556, _106558], [844 ^ [], 845 ^ []]]))).
% 1.56/2.41 ncf('1.1.1.2.1.1',plain,[844 ^ [] = 845 ^ []],extension(851 ^ 9)).
% 1.56/2.41 ncf('1.1.1.2.2',plain,[-(incident_o(844 ^ [], 843 ^ [])), start_point(844 ^ [], 843 ^ [])],extension(640 ^ 8,bind([[_128246, _128248], [843 ^ [], 844 ^ []]]))).
% 1.56/2.41 ncf('1.1.1.2.2.1',plain,[-(start_point(844 ^ [], 843 ^ []))],extension(847 ^ 9)).
% 1.56/2.41 ncf('1.1.1.2.3',plain,[-(start_point(845 ^ [], 843 ^ []))],extension(849 ^ 6)).
% 1.56/2.41 ncf('1.2',plain,[-(844 ^ [] = 844 ^ [])],extension(2 ^ 3,bind([[_106449], [844 ^ []]]))).
% 1.56/2.41 %-----------------------------------------------------
% 1.56/2.41 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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