TSTP Solution File: GEO125+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO125+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n018.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 11:11:59 EDT 2023
% Result : Theorem 1.61s 2.42s
% Output : Proof 1.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO125+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri May 19 04:13:58 EDT 2023
% 0.13/0.33 % CPUTime :
% 1.61/2.42
% 1.61/2.42 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 1.61/2.42 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.61/2.42 %-----------------------------------------------------
% 1.61/2.42 ncf(matrix, plain, [(847 ^ _106337) ^ [] : [-(finish_point(844 ^ [], 843 ^ []))], (849 ^ _106337) ^ [] : [-(finish_point(845 ^ [], 843 ^ []))], (851 ^ _106337) ^ [] : [844 ^ [] = 845 ^ []], (228 ^ _106337) ^ [_113950, _113952] : [_113952 = _113950, -(underlying_curve(_113952) = underlying_curve(_113950))], (218 ^ _106337) ^ [_113639, _113641, _113643, _113645] : [-(sum(_113645, _113641) = sum(_113643, _113639)), _113645 = _113643, _113641 = _113639], (2 ^ _106337) ^ [_106481] : [-(_106481 = _106481)], (4 ^ _106337) ^ [_106588, _106590] : [_106590 = _106588, -(_106588 = _106590)], (10 ^ _106337) ^ [_106792, _106794, _106796] : [-(_106796 = _106792), _106796 = _106794, _106794 = _106792], (20 ^ _106337) ^ [_107105, _107107] : [-(closed(_107105)), _107107 = _107105, closed(_107107)], (30 ^ _106337) ^ [_107456, _107458, _107460, _107462, _107464, _107466] : [-(meet(_107464, _107460, _107456)), meet(_107466, _107462, _107458), _107466 = _107464, _107462 = _107460, _107458 = _107456], (48 ^ _106337) ^ [_108037, _108039, _108041, _108043] : [-(part_of(_108041, _108037)), part_of(_108043, _108039), _108043 = _108041, _108039 = _108037], (62 ^ _106337) ^ [_108481, _108483, _108485, _108487] : [-(end_point(_108485, _108481)), end_point(_108487, _108483), _108487 = _108485, _108483 = _108481], (76 ^ _106337) ^ [_108925, _108927, _108929, _108931] : [-(inner_point(_108929, _108925)), inner_point(_108931, _108927), _108931 = _108929, _108927 = _108925], (90 ^ _106337) ^ [_109425, _109427, _109429, _109431, _109433, _109435, _109437, _109439] : [-(between_o(_109437, _109433, _109429, _109425)), between_o(_109439, _109435, _109431, _109427), _109439 = _109437, _109435 = _109433, _109431 = _109429, _109427 = _109425], (112 ^ _106337) ^ [_110215, _110217, _110219, _110221, _110223, _110225, _110227, _110229] : [-(between_c(_110227, _110223, _110219, _110215)), between_c(_110229, _110225, _110221, _110217), _110229 = _110227, _110225 = _110223, _110221 = _110219, _110217 = _110215], (134 ^ _106337) ^ [_110949, _110951, _110953, _110955] : [-(start_point(_110953, _110949)), start_point(_110955, _110951), _110955 = _110953, _110951 = _110949], (148 ^ _106337) ^ [_111365, _111367] : [-(open(_111365)), _111367 = _111365, open(_111367)], (158 ^ _106337) ^ [_111716, _111718, _111720, _111722, _111724, _111726] : [-(ordered_by(_111724, _111720, _111716)), ordered_by(_111726, _111722, _111718), _111726 = _111724, _111722 = _111720, _111718 = _111716], (176 ^ _106337) ^ [_112297, _112299, _112301, _112303] : [-(incident_o(_112301, _112297)), incident_o(_112303, _112299), _112303 = _112301, _112299 = _112297], (190 ^ _106337) ^ [_112741, _112743, _112745, _112747] : [-(incident_c(_112745, _112741)), incident_c(_112747, _112743), _112747 = _112745, _112743 = _112741], (204 ^ _106337) ^ [_113165, _113167, _113169, _113171] : [-(finish_point(_113169, _113165)), finish_point(_113171, _113167), _113171 = _113169, _113167 = _113165], (573 ^ _106337) ^ [_125924, _125926, _125928, _125930] : [between_c(_125930, _125928, _125926, _125924), 576 ^ _106337 : [(577 ^ _106337) ^ [] : [_125928 = _125924], (580 ^ _106337) ^ [] : [-(part_of(578 ^ [_125924, _125926, _125928, _125930], _125930))], (582 ^ _106337) ^ [] : [-(end_point(_125928, 578 ^ [_125924, _125926, _125928, _125930]))], (584 ^ _106337) ^ [] : [-(end_point(_125924, 578 ^ [_125924, _125926, _125928, _125930]))], (586 ^ _106337) ^ [] : [-(inner_point(_125926, 578 ^ [_125924, _125926, _125928, _125930]))]]], (588 ^ _106337) ^ [_126536, _126538, _126540, _126542] : [-(between_c(_126542, _126540, _126538, _126536)), -(_126540 = _126536), 593 ^ _106337 : [(594 ^ _106337) ^ [_126742] : [part_of(_126742, _126542), end_point(_126540, _126742), end_point(_126536, _126742), inner_point(_126538, _126742)]]], (610 ^ _106337) ^ [_127299, _127301, _127303, _127305] : [between_o(_127305, _127303, _127301, _127299), 615 ^ _106337 : [(616 ^ _106337) ^ [] : [-(ordered_by(_127305, _127303, _127301))], (618 ^ _106337) ^ [] : [-(ordered_by(_127305, _127301, _127299))]], 619 ^ _106337 : [(620 ^ _106337) ^ [] : [-(ordered_by(_127305, _127299, _127301))], (622 ^ _106337) ^ [] : [-(ordered_by(_127305, _127301, _127303))]]], (624 ^ _106337) ^ [_127741, _127743, _127745, _127747] : [-(between_o(_127747, _127745, _127743, _127741)), 625 ^ _106337 : [(626 ^ _106337) ^ [] : [ordered_by(_127747, _127745, _127743), ordered_by(_127747, _127743, _127741)], (632 ^ _106337) ^ [] : [ordered_by(_127747, _127741, _127743), ordered_by(_127747, _127743, _127745)]]], (656 ^ _106337) ^ [_128773, _128775] : [-(start_point(_128775, _128773)), incident_o(_128775, _128773), 662 ^ _106337 : [(663 ^ _106337) ^ [] : [_128775 = 661 ^ [_128773, _128775]], (665 ^ _106337) ^ [] : [-(incident_o(661 ^ [_128773, _128775], _128773))], (667 ^ _106337) ^ [] : [ordered_by(_128773, _128775, 661 ^ [_128773, _128775])]]], (640 ^ _106337) ^ [_128278, _128280] : [start_point(_128280, _128278), 643 ^ _106337 : [(644 ^ _106337) ^ [] : [-(incident_o(_128280, _128278))], (646 ^ _106337) ^ [_128496] : [-(ordered_by(_128278, _128280, _128496)), -(_128280 = _128496), incident_o(_128496, _128278)]]], (687 ^ _106337) ^ [_129838, _129840] : [-(finish_point(_129840, _129838)), incident_o(_129840, _129838), 693 ^ _106337 : [(694 ^ _106337) ^ [] : [_129840 = 692 ^ [_129838, _129840]], (696 ^ _106337) ^ [] : [-(incident_o(692 ^ [_129838, _129840], _129838))], (698 ^ _106337) ^ [] : [ordered_by(_129838, 692 ^ [_129838, _129840], _129840)]]], (671 ^ _106337) ^ [_129343, _129345] : [finish_point(_129345, _129343), 674 ^ _106337 : [(675 ^ _106337) ^ [] : [-(incident_o(_129345, _129343))], (677 ^ _106337) ^ [_129561] : [-(ordered_by(_129343, _129561, _129345)), -(_129345 = _129561), incident_o(_129561, _129343)]]], (702 ^ _106337) ^ [_130393, _130395, _130397] : [ordered_by(_130397, _130395, _130393), 705 ^ _106337 : [(706 ^ _106337) ^ [] : [-(incident_o(_130395, _130397))], (708 ^ _106337) ^ [] : [-(incident_o(_130393, _130397))]]], (711 ^ _106337) ^ [_130734] : [-(open(709 ^ [_130734]))], (713 ^ _106337) ^ [_130840, _130842] : [incident_o(_130840, _130842), -(incident_c(_130840, 709 ^ [_130842]))], (719 ^ _106337) ^ [_131012, _131014] : [incident_c(_131012, 709 ^ [_131014]), -(incident_o(_131012, _131014))], (744 ^ _106337) ^ [_132068, _132070, _132072, _132074] : [-(between_o(_132068, _132074, _132072, _132070)), 745 ^ _106337 : [(746 ^ _106337) ^ [_132179] : [between_c(_132179, _132074, _132072, _132070), 750 ^ _106337 : [(751 ^ _106337) ^ [] : [-(incident_o(747 ^ [_132068, _132070, _132072, _132074, _132179], _132068))], (753 ^ _106337) ^ [] : [incident_c(747 ^ [_132068, _132070, _132072, _132074, _132179], _132179)]], 754 ^ _106337 : [(755 ^ _106337) ^ [] : [-(incident_c(747 ^ [_132068, _132070, _132072, _132074, _132179], _132179))], (757 ^ _106337) ^ [] : [incident_o(747 ^ [_132068, _132070, _132072, _132074, _132179], _132068)]]]]], (725 ^ _106337) ^ [_131293, _131295, _131297, _131299] : [between_o(_131293, _131299, _131297, _131295), 729 ^ _106337 : [(742 ^ _106337) ^ [] : [-(between_c(728 ^ [_131293, _131295, _131297, _131299], _131299, _131297, _131295))], (730 ^ _106337) ^ [_131576] : [incident_o(_131576, _131293), -(incident_c(_131576, 728 ^ [_131293, _131295, _131297, _131299]))], (736 ^ _106337) ^ [_131786] : [incident_c(_131786, 728 ^ [_131293, _131295, _131297, _131299]), -(incident_o(_131786, _131293))]]], (764 ^ _106337) ^ [_132867] : [-(start_point(762 ^ [_132867], _132867))], (766 ^ _106337) ^ [_132993, _132995, _132997] : [open(_132993), -(_132997 = _132995), incident_c(_132997, _132993), incident_c(_132995, _132993), 782 ^ _106337 : [(795 ^ _106337) ^ [] : [-(ordered_by(781 ^ [_132993, _132995, _132997], _132997, _132995))], (783 ^ _106337) ^ [_133542] : [incident_o(_133542, 781 ^ [_132993, _132995, _132997]), -(incident_c(_133542, _132993))], (789 ^ _106337) ^ [_133740] : [incident_c(_133740, _132993), -(incident_o(_133740, 781 ^ [_132993, _132995, _132997]))]]], (797 ^ _106337) ^ [_134059, _134061] : [-(_134061 = _134059), 802 ^ _106337 : [(803 ^ _106337) ^ [] : [-(ordered_by(_134061, 798 ^ [_134059, _134061], 799 ^ [_134059, _134061]))], (805 ^ _106337) ^ [] : [ordered_by(_134059, 798 ^ [_134059, _134061], 799 ^ [_134059, _134061])]], 806 ^ _106337 : [(807 ^ _106337) ^ [] : [-(ordered_by(_134059, 798 ^ [_134059, _134061], 799 ^ [_134059, _134061]))], (809 ^ _106337) ^ [] : [ordered_by(_134061, 798 ^ [_134059, _134061], 799 ^ [_134059, _134061])]]], (829 ^ _106337) ^ [_135232, _135234] : [-(_135234 = underlying_curve(_135232)), 833 ^ _106337 : [(834 ^ _106337) ^ [] : [-(incident_o(830 ^ [_135232, _135234], _135232))], (836 ^ _106337) ^ [] : [incident_c(830 ^ [_135232, _135234], _135234)]], 837 ^ _106337 : [(838 ^ _106337) ^ [] : [-(incident_c(830 ^ [_135232, _135234], _135234))], (840 ^ _106337) ^ [] : [incident_o(830 ^ [_135232, _135234], _135232)]]], (813 ^ _106337) ^ [_134711, _134713] : [_134713 = underlying_curve(_134711), 816 ^ _106337 : [(817 ^ _106337) ^ [_134881] : [incident_o(_134881, _134711), -(incident_c(_134881, _134713))], (823 ^ _106337) ^ [_135053] : [incident_c(_135053, _134713), -(incident_o(_135053, _134711))]]], (244 ^ _106337) ^ [_114569, _114571] : [246 ^ _106337 : [(247 ^ _106337) ^ [] : [-(incident_c(245 ^ [_114569, _114571], _114569))], (249 ^ _106337) ^ [] : [incident_c(245 ^ [_114569, _114571], _114571)]], -(part_of(_114569, _114571))], (234 ^ _106337) ^ [_114255, _114257] : [part_of(_114255, _114257), 237 ^ _106337 : [(238 ^ _106337) ^ [_114392] : [incident_c(_114392, _114255), -(incident_c(_114392, _114257))]]], (275 ^ _106337) ^ [_115694, _115696, _115698] : [-(_115698 = sum(_115696, _115694)), 279 ^ _106337 : [(280 ^ _106337) ^ [] : [-(incident_c(276 ^ [_115694, _115696, _115698], _115698))], (282 ^ _106337) ^ [] : [incident_c(276 ^ [_115694, _115696, _115698], _115696)], (284 ^ _106337) ^ [] : [incident_c(276 ^ [_115694, _115696, _115698], _115694)]], 285 ^ _106337 : [(292 ^ _106337) ^ [] : [incident_c(276 ^ [_115694, _115696, _115698], _115698)], (286 ^ _106337) ^ [] : [-(incident_c(276 ^ [_115694, _115696, _115698], _115696)), -(incident_c(276 ^ [_115694, _115696, _115698], _115694))]]], (253 ^ _106337) ^ [_114969, _114971, _114973] : [_114973 = sum(_114971, _114969), 256 ^ _106337 : [(267 ^ _106337) ^ [_115429] : [268 ^ _106337 : [(269 ^ _106337) ^ [] : [incident_c(_115429, _114971)], (271 ^ _106337) ^ [] : [incident_c(_115429, _114969)]], -(incident_c(_115429, _114973))], (257 ^ _106337) ^ [_115151] : [incident_c(_115151, _114973), -(incident_c(_115151, _114971)), -(incident_c(_115151, _114969))]]], (324 ^ _106337) ^ [_117302, _117304] : [-(end_point(_117304, _117302)), incident_c(_117304, _117302), 331 ^ _106337 : [(332 ^ _106337) ^ [] : [-(part_of(329 ^ [_117302, _117304], _117302))], (334 ^ _106337) ^ [] : [-(part_of(330 ^ [_117302, _117304], _117302))], (336 ^ _106337) ^ [] : [-(incident_c(_117304, 329 ^ [_117302, _117304]))], (338 ^ _106337) ^ [] : [-(incident_c(_117304, 330 ^ [_117302, _117304]))], (340 ^ _106337) ^ [] : [part_of(329 ^ [_117302, _117304], 330 ^ [_117302, _117304])], (342 ^ _106337) ^ [] : [part_of(330 ^ [_117302, _117304], 329 ^ [_117302, _117304])]]], (296 ^ _106337) ^ [_116474, _116476] : [end_point(_116476, _116474), 299 ^ _106337 : [(300 ^ _106337) ^ [] : [-(incident_c(_116476, _116474))], (302 ^ _106337) ^ [_116726, _116728] : [-(part_of(_116728, _116726)), -(part_of(_116726, _116728)), part_of(_116728, _116474), part_of(_116726, _116474), incident_c(_116476, _116728), incident_c(_116476, _116726)]]], (346 ^ _106337) ^ [_118257, _118259] : [inner_point(_118259, _118257), 349 ^ _106337 : [(350 ^ _106337) ^ [] : [-(incident_c(_118259, _118257))], (352 ^ _106337) ^ [] : [end_point(_118259, _118257)]]], (354 ^ _106337) ^ [_118495, _118497] : [-(inner_point(_118497, _118495)), incident_c(_118497, _118495), -(end_point(_118497, _118495))], (364 ^ _106337) ^ [_118842, _118844, _118846] : [meet(_118846, _118844, _118842), 367 ^ _106337 : [(368 ^ _106337) ^ [] : [-(incident_c(_118846, _118844))], (370 ^ _106337) ^ [] : [-(incident_c(_118846, _118842))], (372 ^ _106337) ^ [_119145] : [379 ^ _106337 : [(380 ^ _106337) ^ [] : [-(end_point(_119145, _118844))], (382 ^ _106337) ^ [] : [-(end_point(_119145, _118842))]], incident_c(_119145, _118844), incident_c(_119145, _118842)]]], (384 ^ _106337) ^ [_119510, _119512, _119514] : [-(meet(_119514, _119512, _119510)), incident_c(_119514, _119512), incident_c(_119514, _119510), 394 ^ _106337 : [(395 ^ _106337) ^ [] : [-(incident_c(393 ^ [_119510, _119512, _119514], _119512))], (397 ^ _106337) ^ [] : [-(incident_c(393 ^ [_119510, _119512, _119514], _119510))], (399 ^ _106337) ^ [] : [end_point(393 ^ [_119510, _119512, _119514], _119512), end_point(393 ^ [_119510, _119512, _119514], _119510)]]], (407 ^ _106337) ^ [_120287] : [closed(_120287), 410 ^ _106337 : [(411 ^ _106337) ^ [_120398] : [end_point(_120398, _120287)]]], (413 ^ _106337) ^ [_120464] : [-(end_point(414 ^ [_120464], _120464)), -(closed(_120464))], (420 ^ _106337) ^ [_120737] : [open(_120737), -(end_point(423 ^ [_120737], _120737))], (427 ^ _106337) ^ [_120942] : [428 ^ _106337 : [(429 ^ _106337) ^ [_121009] : [end_point(_121009, _120942)]], -(open(_120942))], (433 ^ _106337) ^ [_121168, _121170] : [-(open(_121168)), part_of(_121168, _121170), -(_121168 = _121170)], (443 ^ _106337) ^ [_121496, _121498, _121500, _121502] : [part_of(_121500, _121502), part_of(_121498, _121502), part_of(_121496, _121502), 456 ^ _106337 : [(457 ^ _106337) ^ [_121907] : [end_point(_121907, _121500), end_point(_121907, _121498), end_point(_121907, _121496)]], -(part_of(_121498, _121496)), -(part_of(_121496, _121498)), -(part_of(_121500, _121498)), -(part_of(_121498, _121500)), -(part_of(_121500, _121496)), -(part_of(_121496, _121500))], (490 ^ _106337) ^ [_122786] : [-(inner_point(488 ^ [_122786], _122786))], (492 ^ _106337) ^ [_122898, _122900] : [inner_point(_122898, _122900), 497 ^ _106337 : [(498 ^ _106337) ^ [] : [-(meet(_122898, 495 ^ [_122898, _122900], 496 ^ [_122898, _122900]))], (500 ^ _106337) ^ [] : [-(_122900 = sum(495 ^ [_122898, _122900], 496 ^ [_122898, _122900]))]]], (502 ^ _106337) ^ [_123386, _123388, _123390, _123392] : [end_point(_123390, _123392), end_point(_123388, _123392), end_point(_123386, _123392), -(_123390 = _123388), -(_123390 = _123386), -(_123388 = _123386)], (524 ^ _106337) ^ [_124002, _124004] : [end_point(_124002, _124004), 528 ^ _106337 : [(529 ^ _106337) ^ [] : [-(end_point(527 ^ [_124002, _124004], _124004))], (531 ^ _106337) ^ [] : [_124002 = 527 ^ [_124002, _124004]]]], (533 ^ _106337) ^ [_124388, _124390, _124392, _124394] : [544 ^ _106337 : [(545 ^ _106337) ^ [_124734] : [end_point(_124734, _124392), -(meet(_124734, _124392, _124390))]], closed(_124394), meet(_124388, _124392, _124390), _124394 = sum(_124392, _124390)], (551 ^ _106337) ^ [_124977, _124979] : [552 ^ _106337 : [(553 ^ _106337) ^ [_125056] : [meet(_125056, _124979, _124977)]], -(554 ^ [_124977, _124979] = sum(_124979, _124977))], (558 ^ _106337) ^ [_125257, _125259] : [-(_125259 = _125257), 562 ^ _106337 : [(563 ^ _106337) ^ [] : [-(incident_c(559 ^ [_125257, _125259], _125259))], (565 ^ _106337) ^ [] : [incident_c(559 ^ [_125257, _125259], _125257)]], 566 ^ _106337 : [(567 ^ _106337) ^ [] : [-(incident_c(559 ^ [_125257, _125259], _125257))], (569 ^ _106337) ^ [] : [incident_c(559 ^ [_125257, _125259], _125259)]]]], input).
% 1.61/2.42 ncf('1',plain,[between_c(728 ^ [843 ^ [], 845 ^ [], 844 ^ [], 845 ^ []], 845 ^ [], 844 ^ [], 845 ^ []), 577 : 845 ^ [] = 845 ^ []],start(573 ^ 0,bind([[_125924, _125926, _125928, _125930], [845 ^ [], 844 ^ [], 845 ^ [], 728 ^ [843 ^ [], 845 ^ [], 844 ^ [], 845 ^ []]]]))).
% 1.61/2.42 ncf('1.1',plain,[-(between_c(728 ^ [843 ^ [], 845 ^ [], 844 ^ [], 845 ^ []], 845 ^ [], 844 ^ [], 845 ^ [])), between_o(843 ^ [], 845 ^ [], 844 ^ [], 845 ^ [])],extension(725 ^ 1,bind([[_131293, _131295, _131297, _131299], [843 ^ [], 845 ^ [], 844 ^ [], 845 ^ []]]))).
% 1.61/2.42 ncf('1.1.1',plain,[-(between_o(843 ^ [], 845 ^ [], 844 ^ [], 845 ^ [])), 626 : ordered_by(843 ^ [], 845 ^ [], 844 ^ []), 626 : ordered_by(843 ^ [], 844 ^ [], 845 ^ [])],extension(624 ^ 2,bind([[_127741, _127743, _127745, _127747], [845 ^ [], 844 ^ [], 845 ^ [], 843 ^ []]]))).
% 1.61/2.42 ncf('1.1.1.1',plain,[-(ordered_by(843 ^ [], 845 ^ [], 844 ^ [])), 677 : -(844 ^ [] = 845 ^ []), 677 : incident_o(845 ^ [], 843 ^ []), 677 : finish_point(844 ^ [], 843 ^ [])],extension(671 ^ 5,bind([[_129343, _129345, _129561], [843 ^ [], 844 ^ [], 845 ^ []]]))).
% 1.61/2.42 ncf('1.1.1.1.1',plain,[844 ^ [] = 845 ^ []],extension(851 ^ 8)).
% 1.61/2.42 ncf('1.1.1.1.2',plain,[-(incident_o(845 ^ [], 843 ^ [])), finish_point(845 ^ [], 843 ^ [])],extension(671 ^ 8,bind([[_129343, _129345], [843 ^ [], 845 ^ []]]))).
% 1.61/2.42 ncf('1.1.1.1.2.1',plain,[-(finish_point(845 ^ [], 843 ^ []))],extension(849 ^ 9)).
% 1.61/2.42 ncf('1.1.1.1.3',plain,[-(finish_point(844 ^ [], 843 ^ []))],extension(847 ^ 6)).
% 1.61/2.42 ncf('1.1.1.2',plain,[-(ordered_by(843 ^ [], 844 ^ [], 845 ^ [])), 677 : -(845 ^ [] = 844 ^ []), 677 : incident_o(844 ^ [], 843 ^ []), 677 : finish_point(845 ^ [], 843 ^ [])],extension(671 ^ 5,bind([[_129343, _129345, _129561], [843 ^ [], 845 ^ [], 844 ^ []]]))).
% 1.61/2.42 ncf('1.1.1.2.1',plain,[845 ^ [] = 844 ^ [], -(844 ^ [] = 845 ^ [])],extension(4 ^ 8,bind([[_106588, _106590], [844 ^ [], 845 ^ []]]))).
% 1.61/2.42 ncf('1.1.1.2.1.1',plain,[844 ^ [] = 845 ^ []],extension(851 ^ 9)).
% 1.61/2.42 ncf('1.1.1.2.2',plain,[-(incident_o(844 ^ [], 843 ^ [])), finish_point(844 ^ [], 843 ^ [])],extension(671 ^ 8,bind([[_129343, _129345], [843 ^ [], 844 ^ []]]))).
% 1.61/2.42 ncf('1.1.1.2.2.1',plain,[-(finish_point(844 ^ [], 843 ^ []))],extension(847 ^ 9)).
% 1.61/2.42 ncf('1.1.1.2.3',plain,[-(finish_point(845 ^ [], 843 ^ []))],extension(849 ^ 6)).
% 1.61/2.42 ncf('1.2',plain,[-(845 ^ [] = 845 ^ [])],extension(2 ^ 3,bind([[_106481], [845 ^ []]]))).
% 1.61/2.42 %-----------------------------------------------------
% 1.61/2.42 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------