%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO146+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n009.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 11:12:01 EDT 2023

% Result   : Theorem 0.38s 1.38s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO146+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n009.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 04:15:32 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.38/1.38  
% 0.38/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.38/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/1.38  %-----------------------------------------------------
% 0.38/1.38  ncf(matrix, plain, [(987 ^ _128365) ^ [] : [988 ^ _128365 : [(989 ^ _128365) ^ [] : [-(connect(983 ^ [], 984 ^ [], 985 ^ []))], (991 ^ _128365) ^ [] : [connect(984 ^ [], 983 ^ [], 985 ^ [])]], 992 ^ _128365 : [(993 ^ _128365) ^ [] : [-(connect(984 ^ [], 983 ^ [], 985 ^ []))], (995 ^ _128365) ^ [] : [connect(983 ^ [], 984 ^ [], 985 ^ [])]]], (246 ^ _128365) ^ [_136607, _136609, _136611, _136613] : [-(sum(_136613, _136609) = sum(_136611, _136607)), _136613 = _136611, _136609 = _136607], (256 ^ _128365) ^ [_136938, _136940] : [_136940 = _136938, -(underlying_curve(_136940) = underlying_curve(_136938))], (262 ^ _128365) ^ [_137156, _137158] : [_137158 = _137156, -(trajectory_of(_137158) = trajectory_of(_137156))], (268 ^ _128365) ^ [_137402, _137404, _137406, _137408] : [-(at_the_same_time(_137408, _137404) = at_the_same_time(_137406, _137402)), _137408 = _137406, _137404 = _137402], (278 ^ _128365) ^ [_137741, _137743, _137745, _137747] : [-(at(_137747, _137743) = at(_137745, _137741)), _137747 = _137745, _137743 = _137741], (2 ^ _128365) ^ [_128509] : [-(_128509 = _128509)], (4 ^ _128365) ^ [_128616, _128618] : [_128618 = _128616, -(_128616 = _128618)], (10 ^ _128365) ^ [_128820, _128822, _128824] : [-(_128824 = _128820), _128824 = _128822, _128822 = _128820], (20 ^ _128365) ^ [_129133, _129135] : [-(closed(_129133)), _129135 = _129133, closed(_129135)], (30 ^ _128365) ^ [_129484, _129486, _129488, _129490, _129492, _129494] : [-(meet(_129492, _129488, _129484)), meet(_129494, _129490, _129486), _129494 = _129492, _129490 = _129488, _129486 = _129484], (48 ^ _128365) ^ [_130065, _130067, _130069, _130071] : [-(part_of(_130069, _130065)), part_of(_130071, _130067), _130071 = _130069, _130067 = _130065], (62 ^ _128365) ^ [_130509, _130511, _130513, _130515] : [-(end_point(_130513, _130509)), end_point(_130515, _130511), _130515 = _130513, _130511 = _130509], (76 ^ _128365) ^ [_130953, _130955, _130957, _130959] : [-(inner_point(_130957, _130953)), inner_point(_130959, _130955), _130959 = _130957, _130955 = _130953], (90 ^ _128365) ^ [_131397, _131399, _131401, _131403] : [-(finish_point(_131401, _131397)), finish_point(_131403, _131399), _131403 = _131401, _131399 = _131397], (104 ^ _128365) ^ [_131897, _131899, _131901, _131903, _131905, _131907, _131909, _131911] : [-(between_o(_131909, _131905, _131901, _131897)), between_o(_131911, _131907, _131903, _131899), _131911 = _131909, _131907 = _131905, _131903 = _131901, _131899 = _131897], (126 ^ _128365) ^ [_132687, _132689, _132691, _132693, _132695, _132697, _132699, _132701] : [-(between_c(_132699, _132695, _132691, _132687)), between_c(_132701, _132697, _132693, _132689), _132701 = _132699, _132697 = _132695, _132693 = _132691, _132689 = _132687], (148 ^ _128365) ^ [_133421, _133423, _133425, _133427] : [-(start_point(_133425, _133421)), start_point(_133427, _133423), _133427 = _133425, _133423 = _133421], (162 ^ _128365) ^ [_133837, _133839] : [-(open(_133837)), _133839 = _133837, open(_133839)], (172 ^ _128365) ^ [_134160, _134162, _134164, _134166] : [-(incident_c(_134164, _134160)), incident_c(_134166, _134162), _134166 = _134164, _134162 = _134160], (186 ^ _128365) ^ [_134604, _134606, _134608, _134610] : [-(incident_o(_134608, _134604)), incident_o(_134610, _134606), _134610 = _134608, _134606 = _134604], (200 ^ _128365) ^ [_135076, _135078, _135080, _135082, _135084, _135086] : [-(ordered_by(_135084, _135080, _135076)), ordered_by(_135086, _135082, _135078), _135086 = _135084, _135082 = _135080, _135078 = _135076], (218 ^ _128365) ^ [_135629, _135631] : [-(once _135629), _135631 = _135629, once _135631], (228 ^ _128365) ^ [_135960, _135962, _135964, _135966, _135968, _135970] : [-(connect(_135968, _135964, _135960)), connect(_135970, _135966, _135962), _135970 = _135968, _135966 = _135964, _135962 = _135960], (298 ^ _128365) ^ [_138457, _138459] : [300 ^ _128365 : [(301 ^ _128365) ^ [] : [-(incident_c(299 ^ [_138457, _138459], _138457))], (303 ^ _128365) ^ [] : [incident_c(299 ^ [_138457, _138459], _138459)]], -(part_of(_138457, _138459))], (288 ^ _128365) ^ [_138143, _138145] : [part_of(_138143, _138145), 291 ^ _128365 : [(292 ^ _128365) ^ [_138280] : [incident_c(_138280, _138143), -(incident_c(_138280, _138145))]]], (329 ^ _128365) ^ [_139582, _139584, _139586] : [-(_139586 = sum(_139584, _139582)), 333 ^ _128365 : [(334 ^ _128365) ^ [] : [-(incident_c(330 ^ [_139582, _139584, _139586], _139586))], (336 ^ _128365) ^ [] : [incident_c(330 ^ [_139582, _139584, _139586], _139584)], (338 ^ _128365) ^ [] : [incident_c(330 ^ [_139582, _139584, _139586], _139582)]], 339 ^ _128365 : [(346 ^ _128365) ^ [] : [incident_c(330 ^ [_139582, _139584, _139586], _139586)], (340 ^ _128365) ^ [] : [-(incident_c(330 ^ [_139582, _139584, _139586], _139584)), -(incident_c(330 ^ [_139582, _139584, _139586], _139582))]]], (307 ^ _128365) ^ [_138857, _138859, _138861] : [_138861 = sum(_138859, _138857), 310 ^ _128365 : [(321 ^ _128365) ^ [_139317] : [322 ^ _128365 : [(323 ^ _128365) ^ [] : [incident_c(_139317, _138859)], (325 ^ _128365) ^ [] : [incident_c(_139317, _138857)]], -(incident_c(_139317, _138861))], (311 ^ _128365) ^ [_139039] : [incident_c(_139039, _138861), -(incident_c(_139039, _138859)), -(incident_c(_139039, _138857))]]], (378 ^ _128365) ^ [_141190, _141192] : [-(end_point(_141192, _141190)), incident_c(_141192, _141190), 385 ^ _128365 : [(386 ^ _128365) ^ [] : [-(part_of(383 ^ [_141190, _141192], _141190))], (388 ^ _128365) ^ [] : [-(part_of(384 ^ [_141190, _141192], _141190))], (390 ^ _128365) ^ [] : [-(incident_c(_141192, 383 ^ [_141190, _141192]))], (392 ^ _128365) ^ [] : [-(incident_c(_141192, 384 ^ [_141190, _141192]))], (394 ^ _128365) ^ [] : [part_of(383 ^ [_141190, _141192], 384 ^ [_141190, _141192])], (396 ^ _128365) ^ [] : [part_of(384 ^ [_141190, _141192], 383 ^ [_141190, _141192])]]], (350 ^ _128365) ^ [_140362, _140364] : [end_point(_140364, _140362), 353 ^ _128365 : [(354 ^ _128365) ^ [] : [-(incident_c(_140364, _140362))], (356 ^ _128365) ^ [_140614, _140616] : [-(part_of(_140616, _140614)), -(part_of(_140614, _140616)), part_of(_140616, _140362), part_of(_140614, _140362), incident_c(_140364, _140616), incident_c(_140364, _140614)]]], (400 ^ _128365) ^ [_142145, _142147] : [inner_point(_142147, _142145), 403 ^ _128365 : [(404 ^ _128365) ^ [] : [-(incident_c(_142147, _142145))], (406 ^ _128365) ^ [] : [end_point(_142147, _142145)]]], (408 ^ _128365) ^ [_142383, _142385] : [-(inner_point(_142385, _142383)), incident_c(_142385, _142383), -(end_point(_142385, _142383))], (418 ^ _128365) ^ [_142730, _142732, _142734] : [meet(_142734, _142732, _142730), 421 ^ _128365 : [(422 ^ _128365) ^ [] : [-(incident_c(_142734, _142732))], (424 ^ _128365) ^ [] : [-(incident_c(_142734, _142730))], (426 ^ _128365) ^ [_143033] : [433 ^ _128365 : [(434 ^ _128365) ^ [] : [-(end_point(_143033, _142732))], (436 ^ _128365) ^ [] : [-(end_point(_143033, _142730))]], incident_c(_143033, _142732), incident_c(_143033, _142730)]]], (438 ^ _128365) ^ [_143398, _143400, _143402] : [-(meet(_143402, _143400, _143398)), incident_c(_143402, _143400), incident_c(_143402, _143398), 448 ^ _128365 : [(449 ^ _128365) ^ [] : [-(incident_c(447 ^ [_143398, _143400, _143402], _143400))], (451 ^ _128365) ^ [] : [-(incident_c(447 ^ [_143398, _143400, _143402], _143398))], (453 ^ _128365) ^ [] : [end_point(447 ^ [_143398, _143400, _143402], _143400), end_point(447 ^ [_143398, _143400, _143402], _143398)]]], (461 ^ _128365) ^ [_144175] : [closed(_144175), 464 ^ _128365 : [(465 ^ _128365) ^ [_144286] : [end_point(_144286, _144175)]]], (467 ^ _128365) ^ [_144352] : [-(end_point(468 ^ [_144352], _144352)), -(closed(_144352))], (474 ^ _128365) ^ [_144625] : [open(_144625), -(end_point(477 ^ [_144625], _144625))], (481 ^ _128365) ^ [_144830] : [482 ^ _128365 : [(483 ^ _128365) ^ [_144897] : [end_point(_144897, _144830)]], -(open(_144830))], (487 ^ _128365) ^ [_145056, _145058] : [-(open(_145056)), part_of(_145056, _145058), -(_145056 = _145058)], (497 ^ _128365) ^ [_145384, _145386, _145388, _145390] : [part_of(_145388, _145390), part_of(_145386, _145390), part_of(_145384, _145390), 510 ^ _128365 : [(511 ^ _128365) ^ [_145795] : [end_point(_145795, _145388), end_point(_145795, _145386), end_point(_145795, _145384)]], -(part_of(_145386, _145384)), -(part_of(_145384, _145386)), -(part_of(_145388, _145386)), -(part_of(_145386, _145388)), -(part_of(_145388, _145384)), -(part_of(_145384, _145388))], (544 ^ _128365) ^ [_146674] : [-(inner_point(542 ^ [_146674], _146674))], (546 ^ _128365) ^ [_146786, _146788] : [inner_point(_146786, _146788), 551 ^ _128365 : [(552 ^ _128365) ^ [] : [-(meet(_146786, 549 ^ [_146786, _146788], 550 ^ [_146786, _146788]))], (554 ^ _128365) ^ [] : [-(_146788 = sum(549 ^ [_146786, _146788], 550 ^ [_146786, _146788]))]]], (556 ^ _128365) ^ [_147274, _147276, _147278, _147280] : [end_point(_147278, _147280), end_point(_147276, _147280), end_point(_147274, _147280), -(_147278 = _147276), -(_147278 = _147274), -(_147276 = _147274)], (578 ^ _128365) ^ [_147890, _147892] : [end_point(_147890, _147892), 582 ^ _128365 : [(583 ^ _128365) ^ [] : [-(end_point(581 ^ [_147890, _147892], _147892))], (585 ^ _128365) ^ [] : [_147890 = 581 ^ [_147890, _147892]]]], (587 ^ _128365) ^ [_148276, _148278, _148280, _148282] : [598 ^ _128365 : [(599 ^ _128365) ^ [_148622] : [end_point(_148622, _148280), -(meet(_148622, _148280, _148278))]], closed(_148282), meet(_148276, _148280, _148278), _148282 = sum(_148280, _148278)], (605 ^ _128365) ^ [_148865, _148867] : [606 ^ _128365 : [(607 ^ _128365) ^ [_148944] : [meet(_148944, _148867, _148865)]], -(608 ^ [_148865, _148867] = sum(_148867, _148865))], (612 ^ _128365) ^ [_149145, _149147] : [-(_149147 = _149145), 616 ^ _128365 : [(617 ^ _128365) ^ [] : [-(incident_c(613 ^ [_149145, _149147], _149147))], (619 ^ _128365) ^ [] : [incident_c(613 ^ [_149145, _149147], _149145)]], 620 ^ _128365 : [(621 ^ _128365) ^ [] : [-(incident_c(613 ^ [_149145, _149147], _149145))], (623 ^ _128365) ^ [] : [incident_c(613 ^ [_149145, _149147], _149147)]]], (627 ^ _128365) ^ [_149812, _149814, _149816, _149818] : [between_c(_149818, _149816, _149814, _149812), 630 ^ _128365 : [(631 ^ _128365) ^ [] : [_149816 = _149812], (634 ^ _128365) ^ [] : [-(part_of(632 ^ [_149812, _149814, _149816, _149818], _149818))], (636 ^ _128365) ^ [] : [-(end_point(_149816, 632 ^ [_149812, _149814, _149816, _149818]))], (638 ^ _128365) ^ [] : [-(end_point(_149812, 632 ^ [_149812, _149814, _149816, _149818]))], (640 ^ _128365) ^ [] : [-(inner_point(_149814, 632 ^ [_149812, _149814, _149816, _149818]))]]], (642 ^ _128365) ^ [_150424, _150426, _150428, _150430] : [-(between_c(_150430, _150428, _150426, _150424)), -(_150428 = _150424), 647 ^ _128365 : [(648 ^ _128365) ^ [_150630] : [part_of(_150630, _150430), end_point(_150428, _150630), end_point(_150424, _150630), inner_point(_150426, _150630)]]], (898 ^ _128365) ^ [_159749, _159751, _159753] : [connect(_159753, _159751, _159749), -(once at_the_same_time(at(_159753, _159749), at(_159751, _159749)))], (904 ^ _128365) ^ [_159935, _159937, _159939] : [once at_the_same_time(at(_159939, _159935), at(_159937, _159935)), -(connect(_159939, _159937, _159935))], (910 ^ _128365) ^ [_160200, _160202] : [once at_the_same_time(_160202, _160200), -(once at_the_same_time(_160200, _160202))], (916 ^ _128365) ^ [_160370, _160372] : [once at_the_same_time(_160370, _160372), -(once at_the_same_time(_160372, _160370))], (922 ^ _128365) ^ [_160633, _160635, _160637] : [once at_the_same_time(at_the_same_time(_160637, _160635), _160633), -(once at_the_same_time(_160637, at_the_same_time(_160635, _160633)))], (928 ^ _128365) ^ [_160821, _160823, _160825] : [once at_the_same_time(_160825, at_the_same_time(_160823, _160821)), -(once at_the_same_time(at_the_same_time(_160825, _160823), _160821))], (934 ^ _128365) ^ [_161045] : [once _161045, -(once at_the_same_time(_161045, _161045))], (940 ^ _128365) ^ [_161251, _161253] : [once at_the_same_time(_161253, _161251), 943 ^ _128365 : [(944 ^ _128365) ^ [] : [-(once _161253)], (946 ^ _128365) ^ [] : [-(once _161251)]]], (948 ^ _128365) ^ [_161565, _161567] : [once at(_161567, _161565), -(incident_o(_161565, trajectory_of(_161567)))], (954 ^ _128365) ^ [_161735, _161737] : [incident_o(_161735, trajectory_of(_161737)), -(once at(_161737, _161735))], (961 ^ _128365) ^ [_161967] : [-(trajectory_of(_161967) = 959 ^ [_161967])], (977 ^ _128365) ^ [_162594] : [once _162594, 981 ^ _128365 : [(982 ^ _128365) ^ [_162762] : [-(once at_the_same_time(_162594, at(_162762, 980 ^ [_162594, _162762])))]]], (963 ^ _128365) ^ [_162137, _162139, _162141, _162143, _162145, _162147] : [once at_the_same_time(at(_162139, _162147), at(_162137, _162145)), once at_the_same_time(at(_162139, _162143), at(_162137, _162141)), ordered_by(trajectory_of(_162139), _162147, _162143), ordered_by(trajectory_of(_162137), _162141, _162145)], (664 ^ _128365) ^ [_151207, _151209, _151211, _151213] : [between_o(_151213, _151211, _151209, _151207), 669 ^ _128365 : [(670 ^ _128365) ^ [] : [-(ordered_by(_151213, _151211, _151209))], (672 ^ _128365) ^ [] : [-(ordered_by(_151213, _151209, _151207))]], 673 ^ _128365 : [(674 ^ _128365) ^ [] : [-(ordered_by(_151213, _151207, _151209))], (676 ^ _128365) ^ [] : [-(ordered_by(_151213, _151209, _151211))]]], (678 ^ _128365) ^ [_151649, _151651, _151653, _151655] : [-(between_o(_151655, _151653, _151651, _151649)), 679 ^ _128365 : [(680 ^ _128365) ^ [] : [ordered_by(_151655, _151653, _151651), ordered_by(_151655, _151651, _151649)], (686 ^ _128365) ^ [] : [ordered_by(_151655, _151649, _151651), ordered_by(_151655, _151651, _151653)]]], (710 ^ _128365) ^ [_152681, _152683] : [-(start_point(_152683, _152681)), incident_o(_152683, _152681), 716 ^ _128365 : [(717 ^ _128365) ^ [] : [_152683 = 715 ^ [_152681, _152683]], (719 ^ _128365) ^ [] : [-(incident_o(715 ^ [_152681, _152683], _152681))], (721 ^ _128365) ^ [] : [ordered_by(_152681, _152683, 715 ^ [_152681, _152683])]]], (694 ^ _128365) ^ [_152186, _152188] : [start_point(_152188, _152186), 697 ^ _128365 : [(698 ^ _128365) ^ [] : [-(incident_o(_152188, _152186))], (700 ^ _128365) ^ [_152404] : [-(ordered_by(_152186, _152188, _152404)), -(_152188 = _152404), incident_o(_152404, _152186)]]], (741 ^ _128365) ^ [_153746, _153748] : [-(finish_point(_153748, _153746)), incident_o(_153748, _153746), 747 ^ _128365 : [(748 ^ _128365) ^ [] : [_153748 = 746 ^ [_153746, _153748]], (750 ^ _128365) ^ [] : [-(incident_o(746 ^ [_153746, _153748], _153746))], (752 ^ _128365) ^ [] : [ordered_by(_153746, 746 ^ [_153746, _153748], _153748)]]], (725 ^ _128365) ^ [_153251, _153253] : [finish_point(_153253, _153251), 728 ^ _128365 : [(729 ^ _128365) ^ [] : [-(incident_o(_153253, _153251))], (731 ^ _128365) ^ [_153469] : [-(ordered_by(_153251, _153469, _153253)), -(_153253 = _153469), incident_o(_153469, _153251)]]], (756 ^ _128365) ^ [_154301, _154303, _154305] : [ordered_by(_154305, _154303, _154301), 759 ^ _128365 : [(760 ^ _128365) ^ [] : [-(incident_o(_154303, _154305))], (762 ^ _128365) ^ [] : [-(incident_o(_154301, _154305))]]], (765 ^ _128365) ^ [_154642] : [-(open(763 ^ [_154642]))], (767 ^ _128365) ^ [_154748, _154750] : [incident_o(_154748, _154750), -(incident_c(_154748, 763 ^ [_154750]))], (773 ^ _128365) ^ [_154920, _154922] : [incident_c(_154920, 763 ^ [_154922]), -(incident_o(_154920, _154922))], (798 ^ _128365) ^ [_155976, _155978, _155980, _155982] : [-(between_o(_155976, _155982, _155980, _155978)), 799 ^ _128365 : [(800 ^ _128365) ^ [_156087] : [between_c(_156087, _155982, _155980, _155978), 804 ^ _128365 : [(805 ^ _128365) ^ [] : [-(incident_o(801 ^ [_155976, _155978, _155980, _155982, _156087], _155976))], (807 ^ _128365) ^ [] : [incident_c(801 ^ [_155976, _155978, _155980, _155982, _156087], _156087)]], 808 ^ _128365 : [(809 ^ _128365) ^ [] : [-(incident_c(801 ^ [_155976, _155978, _155980, _155982, _156087], _156087))], (811 ^ _128365) ^ [] : [incident_o(801 ^ [_155976, _155978, _155980, _155982, _156087], _155976)]]]]], (779 ^ _128365) ^ [_155201, _155203, _155205, _155207] : [between_o(_155201, _155207, _155205, _155203), 783 ^ _128365 : [(796 ^ _128365) ^ [] : [-(between_c(782 ^ [_155201, _155203, _155205, _155207], _155207, _155205, _155203))], (784 ^ _128365) ^ [_155484] : [incident_o(_155484, _155201), -(incident_c(_155484, 782 ^ [_155201, _155203, _155205, _155207]))], (790 ^ _128365) ^ [_155694] : [incident_c(_155694, 782 ^ [_155201, _155203, _155205, _155207]), -(incident_o(_155694, _155201))]]], (818 ^ _128365) ^ [_156775] : [-(start_point(816 ^ [_156775], _156775))], (820 ^ _128365) ^ [_156901, _156903, _156905] : [open(_156901), -(_156905 = _156903), incident_c(_156905, _156901), incident_c(_156903, _156901), 836 ^ _128365 : [(849 ^ _128365) ^ [] : [-(ordered_by(835 ^ [_156901, _156903, _156905], _156905, _156903))], (837 ^ _128365) ^ [_157450] : [incident_o(_157450, 835 ^ [_156901, _156903, _156905]), -(incident_c(_157450, _156901))], (843 ^ _128365) ^ [_157648] : [incident_c(_157648, _156901), -(incident_o(_157648, 835 ^ [_156901, _156903, _156905]))]]], (851 ^ _128365) ^ [_157967, _157969] : [-(_157969 = _157967), 856 ^ _128365 : [(857 ^ _128365) ^ [] : [-(ordered_by(_157969, 852 ^ [_157967, _157969], 853 ^ [_157967, _157969]))], (859 ^ _128365) ^ [] : [ordered_by(_157967, 852 ^ [_157967, _157969], 853 ^ [_157967, _157969])]], 860 ^ _128365 : [(861 ^ _128365) ^ [] : [-(ordered_by(_157967, 852 ^ [_157967, _157969], 853 ^ [_157967, _157969]))], (863 ^ _128365) ^ [] : [ordered_by(_157969, 852 ^ [_157967, _157969], 853 ^ [_157967, _157969])]]], (883 ^ _128365) ^ [_159140, _159142] : [-(_159142 = underlying_curve(_159140)), 887 ^ _128365 : [(888 ^ _128365) ^ [] : [-(incident_o(884 ^ [_159140, _159142], _159140))], (890 ^ _128365) ^ [] : [incident_c(884 ^ [_159140, _159142], _159142)]], 891 ^ _128365 : [(892 ^ _128365) ^ [] : [-(incident_c(884 ^ [_159140, _159142], _159142))], (894 ^ _128365) ^ [] : [incident_o(884 ^ [_159140, _159142], _159140)]]], (867 ^ _128365) ^ [_158619, _158621] : [_158621 = underlying_curve(_158619), 870 ^ _128365 : [(871 ^ _128365) ^ [_158789] : [incident_o(_158789, _158619), -(incident_c(_158789, _158621))], (877 ^ _128365) ^ [_158961] : [incident_c(_158961, _158621), -(incident_o(_158961, _158619))]]]], input).
% 0.38/1.38  ncf('1',plain,[991 : connect(984 ^ [], 983 ^ [], 985 ^ []), 995 : connect(983 ^ [], 984 ^ [], 985 ^ [])],start(987 ^ 0)).
% 0.38/1.38  ncf('1.1',plain,[-(connect(984 ^ [], 983 ^ [], 985 ^ [])), once at_the_same_time(at(984 ^ [], 985 ^ []), at(983 ^ [], 985 ^ []))],extension(904 ^ 3,bind([[_159935, _159937, _159939], [985 ^ [], 983 ^ [], 984 ^ []]]))).
% 0.38/1.38  ncf('1.1.1',plain,[-(once at_the_same_time(at(984 ^ [], 985 ^ []), at(983 ^ [], 985 ^ []))), once at_the_same_time(at(983 ^ [], 985 ^ []), at(984 ^ [], 985 ^ []))],extension(910 ^ 4,bind([[_160200, _160202], [at(984 ^ [], 985 ^ []), at(983 ^ [], 985 ^ [])]]))).
% 0.38/1.38  ncf('1.1.1.1',plain,[-(once at_the_same_time(at(983 ^ [], 985 ^ []), at(984 ^ [], 985 ^ []))), connect(983 ^ [], 984 ^ [], 985 ^ [])],extension(898 ^ 5,bind([[_159749, _159751, _159753], [985 ^ [], 984 ^ [], 983 ^ []]]))).
% 0.38/1.38  ncf('1.1.1.1.1',plain,[-(connect(983 ^ [], 984 ^ [], 985 ^ []))],extension(989 ^ 6)).
% 0.38/1.38  ncf('1.2',plain,[-(connect(983 ^ [], 984 ^ [], 985 ^ [])), once at_the_same_time(at(983 ^ [], 985 ^ []), at(984 ^ [], 985 ^ []))],extension(904 ^ 3,bind([[_159935, _159937, _159939], [985 ^ [], 984 ^ [], 983 ^ []]]))).
% 0.38/1.38  ncf('1.2.1',plain,[-(once at_the_same_time(at(983 ^ [], 985 ^ []), at(984 ^ [], 985 ^ []))), once at_the_same_time(at(984 ^ [], 985 ^ []), at(983 ^ [], 985 ^ []))],extension(910 ^ 4,bind([[_160200, _160202], [at(983 ^ [], 985 ^ []), at(984 ^ [], 985 ^ [])]]))).
% 0.38/1.38  ncf('1.2.1.1',plain,[-(once at_the_same_time(at(984 ^ [], 985 ^ []), at(983 ^ [], 985 ^ []))), connect(984 ^ [], 983 ^ [], 985 ^ [])],extension(898 ^ 5,bind([[_159749, _159751, _159753], [985 ^ [], 983 ^ [], 984 ^ []]]))).
% 0.38/1.38  ncf('1.2.1.1.1',plain,[-(connect(984 ^ [], 983 ^ [], 985 ^ []))],extension(993 ^ 6)).
% 0.38/1.38  %-----------------------------------------------------
% 0.38/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------