TSTP Solution File: GEO147+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO147+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n010.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 0.37s 1.37s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : GEO147+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n010.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 04:10:56 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.37/1.37  
% 0.37/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.37/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.37  %-----------------------------------------------------
% 0.37/1.37  ncf(matrix, plain, [(987 ^ _128346) ^ [] : [-(connect(984 ^ [], 985 ^ [], 983 ^ []))], (989 ^ _128346) ^ [] : [incident_o(983 ^ [], trajectory_of(984 ^ [])), incident_o(983 ^ [], trajectory_of(985 ^ []))], (246 ^ _128346) ^ [_136588, _136590, _136592, _136594] : [-(sum(_136594, _136590) = sum(_136592, _136588)), _136594 = _136592, _136590 = _136588], (256 ^ _128346) ^ [_136919, _136921] : [_136921 = _136919, -(underlying_curve(_136921) = underlying_curve(_136919))], (262 ^ _128346) ^ [_137165, _137167, _137169, _137171] : [-(at_the_same_time(_137171, _137167) = at_the_same_time(_137169, _137165)), _137171 = _137169, _137167 = _137165], (282 ^ _128346) ^ [_137835, _137837] : [_137837 = _137835, -(trajectory_of(_137837) = trajectory_of(_137835))], (272 ^ _128346) ^ [_137524, _137526, _137528, _137530] : [-(at(_137530, _137526) = at(_137528, _137524)), _137530 = _137528, _137526 = _137524], (2 ^ _128346) ^ [_128490] : [-(_128490 = _128490)], (4 ^ _128346) ^ [_128597, _128599] : [_128599 = _128597, -(_128597 = _128599)], (10 ^ _128346) ^ [_128801, _128803, _128805] : [-(_128805 = _128801), _128805 = _128803, _128803 = _128801], (20 ^ _128346) ^ [_129114, _129116] : [-(closed(_129114)), _129116 = _129114, closed(_129116)], (30 ^ _128346) ^ [_129465, _129467, _129469, _129471, _129473, _129475] : [-(meet(_129473, _129469, _129465)), meet(_129475, _129471, _129467), _129475 = _129473, _129471 = _129469, _129467 = _129465], (48 ^ _128346) ^ [_130046, _130048, _130050, _130052] : [-(part_of(_130050, _130046)), part_of(_130052, _130048), _130052 = _130050, _130048 = _130046], (62 ^ _128346) ^ [_130490, _130492, _130494, _130496] : [-(end_point(_130494, _130490)), end_point(_130496, _130492), _130496 = _130494, _130492 = _130490], (76 ^ _128346) ^ [_130934, _130936, _130938, _130940] : [-(inner_point(_130938, _130934)), inner_point(_130940, _130936), _130940 = _130938, _130936 = _130934], (90 ^ _128346) ^ [_131378, _131380, _131382, _131384] : [-(finish_point(_131382, _131378)), finish_point(_131384, _131380), _131384 = _131382, _131380 = _131378], (104 ^ _128346) ^ [_131878, _131880, _131882, _131884, _131886, _131888, _131890, _131892] : [-(between_o(_131890, _131886, _131882, _131878)), between_o(_131892, _131888, _131884, _131880), _131892 = _131890, _131888 = _131886, _131884 = _131882, _131880 = _131878], (126 ^ _128346) ^ [_132668, _132670, _132672, _132674, _132676, _132678, _132680, _132682] : [-(between_c(_132680, _132676, _132672, _132668)), between_c(_132682, _132678, _132674, _132670), _132682 = _132680, _132678 = _132676, _132674 = _132672, _132670 = _132668], (148 ^ _128346) ^ [_133402, _133404, _133406, _133408] : [-(start_point(_133406, _133402)), start_point(_133408, _133404), _133408 = _133406, _133404 = _133402], (162 ^ _128346) ^ [_133818, _133820] : [-(open(_133818)), _133820 = _133818, open(_133820)], (172 ^ _128346) ^ [_134141, _134143, _134145, _134147] : [-(incident_c(_134145, _134141)), incident_c(_134147, _134143), _134147 = _134145, _134143 = _134141], (186 ^ _128346) ^ [_134613, _134615, _134617, _134619, _134621, _134623] : [-(ordered_by(_134621, _134617, _134613)), ordered_by(_134623, _134619, _134615), _134623 = _134621, _134619 = _134617, _134615 = _134613], (204 ^ _128346) ^ [_135166, _135168] : [-(once _135166), _135168 = _135166, once _135168], (232 ^ _128346) ^ [_136078, _136080, _136082, _136084] : [-(incident_o(_136082, _136078)), incident_o(_136084, _136080), _136084 = _136082, _136080 = _136078], (214 ^ _128346) ^ [_135517, _135519, _135521, _135523, _135525, _135527] : [-(connect(_135525, _135521, _135517)), connect(_135527, _135523, _135519), _135527 = _135525, _135523 = _135521, _135519 = _135517], (298 ^ _128346) ^ [_138438, _138440] : [300 ^ _128346 : [(301 ^ _128346) ^ [] : [-(incident_c(299 ^ [_138438, _138440], _138438))], (303 ^ _128346) ^ [] : [incident_c(299 ^ [_138438, _138440], _138440)]], -(part_of(_138438, _138440))], (288 ^ _128346) ^ [_138124, _138126] : [part_of(_138124, _138126), 291 ^ _128346 : [(292 ^ _128346) ^ [_138261] : [incident_c(_138261, _138124), -(incident_c(_138261, _138126))]]], (329 ^ _128346) ^ [_139563, _139565, _139567] : [-(_139567 = sum(_139565, _139563)), 333 ^ _128346 : [(334 ^ _128346) ^ [] : [-(incident_c(330 ^ [_139563, _139565, _139567], _139567))], (336 ^ _128346) ^ [] : [incident_c(330 ^ [_139563, _139565, _139567], _139565)], (338 ^ _128346) ^ [] : [incident_c(330 ^ [_139563, _139565, _139567], _139563)]], 339 ^ _128346 : [(346 ^ _128346) ^ [] : [incident_c(330 ^ [_139563, _139565, _139567], _139567)], (340 ^ _128346) ^ [] : [-(incident_c(330 ^ [_139563, _139565, _139567], _139565)), -(incident_c(330 ^ [_139563, _139565, _139567], _139563))]]], (307 ^ _128346) ^ [_138838, _138840, _138842] : [_138842 = sum(_138840, _138838), 310 ^ _128346 : [(321 ^ _128346) ^ [_139298] : [322 ^ _128346 : [(323 ^ _128346) ^ [] : [incident_c(_139298, _138840)], (325 ^ _128346) ^ [] : [incident_c(_139298, _138838)]], -(incident_c(_139298, _138842))], (311 ^ _128346) ^ [_139020] : [incident_c(_139020, _138842), -(incident_c(_139020, _138840)), -(incident_c(_139020, _138838))]]], (378 ^ _128346) ^ [_141171, _141173] : [-(end_point(_141173, _141171)), incident_c(_141173, _141171), 385 ^ _128346 : [(386 ^ _128346) ^ [] : [-(part_of(383 ^ [_141171, _141173], _141171))], (388 ^ _128346) ^ [] : [-(part_of(384 ^ [_141171, _141173], _141171))], (390 ^ _128346) ^ [] : [-(incident_c(_141173, 383 ^ [_141171, _141173]))], (392 ^ _128346) ^ [] : [-(incident_c(_141173, 384 ^ [_141171, _141173]))], (394 ^ _128346) ^ [] : [part_of(383 ^ [_141171, _141173], 384 ^ [_141171, _141173])], (396 ^ _128346) ^ [] : [part_of(384 ^ [_141171, _141173], 383 ^ [_141171, _141173])]]], (350 ^ _128346) ^ [_140343, _140345] : [end_point(_140345, _140343), 353 ^ _128346 : [(354 ^ _128346) ^ [] : [-(incident_c(_140345, _140343))], (356 ^ _128346) ^ [_140595, _140597] : [-(part_of(_140597, _140595)), -(part_of(_140595, _140597)), part_of(_140597, _140343), part_of(_140595, _140343), incident_c(_140345, _140597), incident_c(_140345, _140595)]]], (400 ^ _128346) ^ [_142126, _142128] : [inner_point(_142128, _142126), 403 ^ _128346 : [(404 ^ _128346) ^ [] : [-(incident_c(_142128, _142126))], (406 ^ _128346) ^ [] : [end_point(_142128, _142126)]]], (408 ^ _128346) ^ [_142364, _142366] : [-(inner_point(_142366, _142364)), incident_c(_142366, _142364), -(end_point(_142366, _142364))], (418 ^ _128346) ^ [_142711, _142713, _142715] : [meet(_142715, _142713, _142711), 421 ^ _128346 : [(422 ^ _128346) ^ [] : [-(incident_c(_142715, _142713))], (424 ^ _128346) ^ [] : [-(incident_c(_142715, _142711))], (426 ^ _128346) ^ [_143014] : [433 ^ _128346 : [(434 ^ _128346) ^ [] : [-(end_point(_143014, _142713))], (436 ^ _128346) ^ [] : [-(end_point(_143014, _142711))]], incident_c(_143014, _142713), incident_c(_143014, _142711)]]], (438 ^ _128346) ^ [_143379, _143381, _143383] : [-(meet(_143383, _143381, _143379)), incident_c(_143383, _143381), incident_c(_143383, _143379), 448 ^ _128346 : [(449 ^ _128346) ^ [] : [-(incident_c(447 ^ [_143379, _143381, _143383], _143381))], (451 ^ _128346) ^ [] : [-(incident_c(447 ^ [_143379, _143381, _143383], _143379))], (453 ^ _128346) ^ [] : [end_point(447 ^ [_143379, _143381, _143383], _143381), end_point(447 ^ [_143379, _143381, _143383], _143379)]]], (461 ^ _128346) ^ [_144156] : [closed(_144156), 464 ^ _128346 : [(465 ^ _128346) ^ [_144267] : [end_point(_144267, _144156)]]], (467 ^ _128346) ^ [_144333] : [-(end_point(468 ^ [_144333], _144333)), -(closed(_144333))], (474 ^ _128346) ^ [_144606] : [open(_144606), -(end_point(477 ^ [_144606], _144606))], (481 ^ _128346) ^ [_144811] : [482 ^ _128346 : [(483 ^ _128346) ^ [_144878] : [end_point(_144878, _144811)]], -(open(_144811))], (487 ^ _128346) ^ [_145037, _145039] : [-(open(_145037)), part_of(_145037, _145039), -(_145037 = _145039)], (497 ^ _128346) ^ [_145365, _145367, _145369, _145371] : [part_of(_145369, _145371), part_of(_145367, _145371), part_of(_145365, _145371), 510 ^ _128346 : [(511 ^ _128346) ^ [_145776] : [end_point(_145776, _145369), end_point(_145776, _145367), end_point(_145776, _145365)]], -(part_of(_145367, _145365)), -(part_of(_145365, _145367)), -(part_of(_145369, _145367)), -(part_of(_145367, _145369)), -(part_of(_145369, _145365)), -(part_of(_145365, _145369))], (544 ^ _128346) ^ [_146655] : [-(inner_point(542 ^ [_146655], _146655))], (546 ^ _128346) ^ [_146767, _146769] : [inner_point(_146767, _146769), 551 ^ _128346 : [(552 ^ _128346) ^ [] : [-(meet(_146767, 549 ^ [_146767, _146769], 550 ^ [_146767, _146769]))], (554 ^ _128346) ^ [] : [-(_146769 = sum(549 ^ [_146767, _146769], 550 ^ [_146767, _146769]))]]], (556 ^ _128346) ^ [_147255, _147257, _147259, _147261] : [end_point(_147259, _147261), end_point(_147257, _147261), end_point(_147255, _147261), -(_147259 = _147257), -(_147259 = _147255), -(_147257 = _147255)], (578 ^ _128346) ^ [_147871, _147873] : [end_point(_147871, _147873), 582 ^ _128346 : [(583 ^ _128346) ^ [] : [-(end_point(581 ^ [_147871, _147873], _147873))], (585 ^ _128346) ^ [] : [_147871 = 581 ^ [_147871, _147873]]]], (587 ^ _128346) ^ [_148257, _148259, _148261, _148263] : [598 ^ _128346 : [(599 ^ _128346) ^ [_148603] : [end_point(_148603, _148261), -(meet(_148603, _148261, _148259))]], closed(_148263), meet(_148257, _148261, _148259), _148263 = sum(_148261, _148259)], (605 ^ _128346) ^ [_148846, _148848] : [606 ^ _128346 : [(607 ^ _128346) ^ [_148925] : [meet(_148925, _148848, _148846)]], -(608 ^ [_148846, _148848] = sum(_148848, _148846))], (612 ^ _128346) ^ [_149126, _149128] : [-(_149128 = _149126), 616 ^ _128346 : [(617 ^ _128346) ^ [] : [-(incident_c(613 ^ [_149126, _149128], _149128))], (619 ^ _128346) ^ [] : [incident_c(613 ^ [_149126, _149128], _149126)]], 620 ^ _128346 : [(621 ^ _128346) ^ [] : [-(incident_c(613 ^ [_149126, _149128], _149126))], (623 ^ _128346) ^ [] : [incident_c(613 ^ [_149126, _149128], _149128)]]], (627 ^ _128346) ^ [_149793, _149795, _149797, _149799] : [between_c(_149799, _149797, _149795, _149793), 630 ^ _128346 : [(631 ^ _128346) ^ [] : [_149797 = _149793], (634 ^ _128346) ^ [] : [-(part_of(632 ^ [_149793, _149795, _149797, _149799], _149799))], (636 ^ _128346) ^ [] : [-(end_point(_149797, 632 ^ [_149793, _149795, _149797, _149799]))], (638 ^ _128346) ^ [] : [-(end_point(_149793, 632 ^ [_149793, _149795, _149797, _149799]))], (640 ^ _128346) ^ [] : [-(inner_point(_149795, 632 ^ [_149793, _149795, _149797, _149799]))]]], (642 ^ _128346) ^ [_150405, _150407, _150409, _150411] : [-(between_c(_150411, _150409, _150407, _150405)), -(_150409 = _150405), 647 ^ _128346 : [(648 ^ _128346) ^ [_150611] : [part_of(_150611, _150411), end_point(_150409, _150611), end_point(_150405, _150611), inner_point(_150407, _150611)]]], (898 ^ _128346) ^ [_159730, _159732, _159734] : [connect(_159734, _159732, _159730), -(once at_the_same_time(at(_159734, _159730), at(_159732, _159730)))], (904 ^ _128346) ^ [_159916, _159918, _159920] : [once at_the_same_time(at(_159920, _159916), at(_159918, _159916)), -(connect(_159920, _159918, _159916))], (910 ^ _128346) ^ [_160181, _160183] : [once at_the_same_time(_160183, _160181), -(once at_the_same_time(_160181, _160183))], (916 ^ _128346) ^ [_160351, _160353] : [once at_the_same_time(_160351, _160353), -(once at_the_same_time(_160353, _160351))], (922 ^ _128346) ^ [_160614, _160616, _160618] : [once at_the_same_time(at_the_same_time(_160618, _160616), _160614), -(once at_the_same_time(_160618, at_the_same_time(_160616, _160614)))], (928 ^ _128346) ^ [_160802, _160804, _160806] : [once at_the_same_time(_160806, at_the_same_time(_160804, _160802)), -(once at_the_same_time(at_the_same_time(_160806, _160804), _160802))], (934 ^ _128346) ^ [_161026] : [once _161026, -(once at_the_same_time(_161026, _161026))], (940 ^ _128346) ^ [_161232, _161234] : [once at_the_same_time(_161234, _161232), 943 ^ _128346 : [(944 ^ _128346) ^ [] : [-(once _161234)], (946 ^ _128346) ^ [] : [-(once _161232)]]], (948 ^ _128346) ^ [_161546, _161548] : [once at(_161548, _161546), -(incident_o(_161546, trajectory_of(_161548)))], (954 ^ _128346) ^ [_161716, _161718] : [incident_o(_161716, trajectory_of(_161718)), -(once at(_161718, _161716))], (961 ^ _128346) ^ [_161948] : [-(trajectory_of(_161948) = 959 ^ [_161948])], (977 ^ _128346) ^ [_162575] : [once _162575, 981 ^ _128346 : [(982 ^ _128346) ^ [_162743] : [-(once at_the_same_time(_162575, at(_162743, 980 ^ [_162575, _162743])))]]], (963 ^ _128346) ^ [_162118, _162120, _162122, _162124, _162126, _162128] : [once at_the_same_time(at(_162120, _162128), at(_162118, _162126)), once at_the_same_time(at(_162120, _162124), at(_162118, _162122)), ordered_by(trajectory_of(_162120), _162128, _162124), ordered_by(trajectory_of(_162118), _162122, _162126)], (664 ^ _128346) ^ [_151188, _151190, _151192, _151194] : [between_o(_151194, _151192, _151190, _151188), 669 ^ _128346 : [(670 ^ _128346) ^ [] : [-(ordered_by(_151194, _151192, _151190))], (672 ^ _128346) ^ [] : [-(ordered_by(_151194, _151190, _151188))]], 673 ^ _128346 : [(674 ^ _128346) ^ [] : [-(ordered_by(_151194, _151188, _151190))], (676 ^ _128346) ^ [] : [-(ordered_by(_151194, _151190, _151192))]]], (678 ^ _128346) ^ [_151630, _151632, _151634, _151636] : [-(between_o(_151636, _151634, _151632, _151630)), 679 ^ _128346 : [(680 ^ _128346) ^ [] : [ordered_by(_151636, _151634, _151632), ordered_by(_151636, _151632, _151630)], (686 ^ _128346) ^ [] : [ordered_by(_151636, _151630, _151632), ordered_by(_151636, _151632, _151634)]]], (710 ^ _128346) ^ [_152662, _152664] : [-(start_point(_152664, _152662)), incident_o(_152664, _152662), 716 ^ _128346 : [(717 ^ _128346) ^ [] : [_152664 = 715 ^ [_152662, _152664]], (719 ^ _128346) ^ [] : [-(incident_o(715 ^ [_152662, _152664], _152662))], (721 ^ _128346) ^ [] : [ordered_by(_152662, _152664, 715 ^ [_152662, _152664])]]], (694 ^ _128346) ^ [_152167, _152169] : [start_point(_152169, _152167), 697 ^ _128346 : [(698 ^ _128346) ^ [] : [-(incident_o(_152169, _152167))], (700 ^ _128346) ^ [_152385] : [-(ordered_by(_152167, _152169, _152385)), -(_152169 = _152385), incident_o(_152385, _152167)]]], (741 ^ _128346) ^ [_153727, _153729] : [-(finish_point(_153729, _153727)), incident_o(_153729, _153727), 747 ^ _128346 : [(748 ^ _128346) ^ [] : [_153729 = 746 ^ [_153727, _153729]], (750 ^ _128346) ^ [] : [-(incident_o(746 ^ [_153727, _153729], _153727))], (752 ^ _128346) ^ [] : [ordered_by(_153727, 746 ^ [_153727, _153729], _153729)]]], (725 ^ _128346) ^ [_153232, _153234] : [finish_point(_153234, _153232), 728 ^ _128346 : [(729 ^ _128346) ^ [] : [-(incident_o(_153234, _153232))], (731 ^ _128346) ^ [_153450] : [-(ordered_by(_153232, _153450, _153234)), -(_153234 = _153450), incident_o(_153450, _153232)]]], (756 ^ _128346) ^ [_154282, _154284, _154286] : [ordered_by(_154286, _154284, _154282), 759 ^ _128346 : [(760 ^ _128346) ^ [] : [-(incident_o(_154284, _154286))], (762 ^ _128346) ^ [] : [-(incident_o(_154282, _154286))]]], (765 ^ _128346) ^ [_154623] : [-(open(763 ^ [_154623]))], (767 ^ _128346) ^ [_154729, _154731] : [incident_o(_154729, _154731), -(incident_c(_154729, 763 ^ [_154731]))], (773 ^ _128346) ^ [_154901, _154903] : [incident_c(_154901, 763 ^ [_154903]), -(incident_o(_154901, _154903))], (798 ^ _128346) ^ [_155957, _155959, _155961, _155963] : [-(between_o(_155957, _155963, _155961, _155959)), 799 ^ _128346 : [(800 ^ _128346) ^ [_156068] : [between_c(_156068, _155963, _155961, _155959), 804 ^ _128346 : [(805 ^ _128346) ^ [] : [-(incident_o(801 ^ [_155957, _155959, _155961, _155963, _156068], _155957))], (807 ^ _128346) ^ [] : [incident_c(801 ^ [_155957, _155959, _155961, _155963, _156068], _156068)]], 808 ^ _128346 : [(809 ^ _128346) ^ [] : [-(incident_c(801 ^ [_155957, _155959, _155961, _155963, _156068], _156068))], (811 ^ _128346) ^ [] : [incident_o(801 ^ [_155957, _155959, _155961, _155963, _156068], _155957)]]]]], (779 ^ _128346) ^ [_155182, _155184, _155186, _155188] : [between_o(_155182, _155188, _155186, _155184), 783 ^ _128346 : [(796 ^ _128346) ^ [] : [-(between_c(782 ^ [_155182, _155184, _155186, _155188], _155188, _155186, _155184))], (784 ^ _128346) ^ [_155465] : [incident_o(_155465, _155182), -(incident_c(_155465, 782 ^ [_155182, _155184, _155186, _155188]))], (790 ^ _128346) ^ [_155675] : [incident_c(_155675, 782 ^ [_155182, _155184, _155186, _155188]), -(incident_o(_155675, _155182))]]], (818 ^ _128346) ^ [_156756] : [-(start_point(816 ^ [_156756], _156756))], (820 ^ _128346) ^ [_156882, _156884, _156886] : [open(_156882), -(_156886 = _156884), incident_c(_156886, _156882), incident_c(_156884, _156882), 836 ^ _128346 : [(849 ^ _128346) ^ [] : [-(ordered_by(835 ^ [_156882, _156884, _156886], _156886, _156884))], (837 ^ _128346) ^ [_157431] : [incident_o(_157431, 835 ^ [_156882, _156884, _156886]), -(incident_c(_157431, _156882))], (843 ^ _128346) ^ [_157629] : [incident_c(_157629, _156882), -(incident_o(_157629, 835 ^ [_156882, _156884, _156886]))]]], (851 ^ _128346) ^ [_157948, _157950] : [-(_157950 = _157948), 856 ^ _128346 : [(857 ^ _128346) ^ [] : [-(ordered_by(_157950, 852 ^ [_157948, _157950], 853 ^ [_157948, _157950]))], (859 ^ _128346) ^ [] : [ordered_by(_157948, 852 ^ [_157948, _157950], 853 ^ [_157948, _157950])]], 860 ^ _128346 : [(861 ^ _128346) ^ [] : [-(ordered_by(_157948, 852 ^ [_157948, _157950], 853 ^ [_157948, _157950]))], (863 ^ _128346) ^ [] : [ordered_by(_157950, 852 ^ [_157948, _157950], 853 ^ [_157948, _157950])]]], (883 ^ _128346) ^ [_159121, _159123] : [-(_159123 = underlying_curve(_159121)), 887 ^ _128346 : [(888 ^ _128346) ^ [] : [-(incident_o(884 ^ [_159121, _159123], _159121))], (890 ^ _128346) ^ [] : [incident_c(884 ^ [_159121, _159123], _159123)]], 891 ^ _128346 : [(892 ^ _128346) ^ [] : [-(incident_c(884 ^ [_159121, _159123], _159123))], (894 ^ _128346) ^ [] : [incident_o(884 ^ [_159121, _159123], _159121)]]], (867 ^ _128346) ^ [_158600, _158602] : [_158602 = underlying_curve(_158600), 870 ^ _128346 : [(871 ^ _128346) ^ [_158770] : [incident_o(_158770, _158600), -(incident_c(_158770, _158602))], (877 ^ _128346) ^ [_158942] : [incident_c(_158942, _158602), -(incident_o(_158942, _158600))]]]], input).
% 0.37/1.37  ncf('1',plain,[incident_o(983 ^ [], trajectory_of(984 ^ [])), incident_o(983 ^ [], trajectory_of(985 ^ []))],start(989 ^ 0)).
% 0.37/1.37  ncf('1.1',plain,[-(incident_o(983 ^ [], trajectory_of(984 ^ []))), once at(984 ^ [], 983 ^ [])],extension(948 ^ 1,bind([[_161546, _161548], [983 ^ [], 984 ^ []]]))).
% 0.37/1.37  ncf('1.1.1',plain,[-(once at(984 ^ [], 983 ^ [])), once at_the_same_time(at(984 ^ [], 983 ^ []), at(985 ^ [], 983 ^ []))],extension(940 ^ 2,bind([[_161232, _161234], [at(985 ^ [], 983 ^ []), at(984 ^ [], 983 ^ [])]]))).
% 0.37/1.37  ncf('1.1.1.1',plain,[-(once at_the_same_time(at(984 ^ [], 983 ^ []), at(985 ^ [], 983 ^ []))), connect(984 ^ [], 985 ^ [], 983 ^ [])],extension(898 ^ 3,bind([[_159730, _159732, _159734], [983 ^ [], 985 ^ [], 984 ^ []]]))).
% 0.37/1.37  ncf('1.1.1.1.1',plain,[-(connect(984 ^ [], 985 ^ [], 983 ^ []))],extension(987 ^ 4)).
% 0.37/1.37  ncf('1.2',plain,[-(incident_o(983 ^ [], trajectory_of(985 ^ []))), once at(985 ^ [], 983 ^ [])],extension(948 ^ 1,bind([[_161546, _161548], [983 ^ [], 985 ^ []]]))).
% 0.37/1.37  ncf('1.2.1',plain,[-(once at(985 ^ [], 983 ^ [])), once at_the_same_time(at(984 ^ [], 983 ^ []), at(985 ^ [], 983 ^ []))],extension(940 ^ 2,bind([[_161232, _161234], [at(985 ^ [], 983 ^ []), at(984 ^ [], 983 ^ [])]]))).
% 0.37/1.37  ncf('1.2.1.1',plain,[-(once at_the_same_time(at(984 ^ [], 983 ^ []), at(985 ^ [], 983 ^ []))), connect(984 ^ [], 985 ^ [], 983 ^ [])],extension(898 ^ 3,bind([[_159730, _159732, _159734], [983 ^ [], 985 ^ [], 984 ^ []]]))).
% 0.37/1.37  ncf('1.2.1.1.1',plain,[-(connect(984 ^ [], 985 ^ [], 983 ^ []))],extension(987 ^ 4)).
% 0.37/1.37  %-----------------------------------------------------
% 0.37/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------