TSTP Solution File: GEO148+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO148+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n027.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 43.22s 42.72s
% Output   : Proof 43.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO148+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri May 19 04:52:36 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 43.22/42.72  
% 43.22/42.72  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 43.22/42.72  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.22/42.72  %-----------------------------------------------------
% 43.22/42.72  ncf(matrix, plain, [(991 ^ _171950) ^ [] : [-(ordered_by(trajectory_of(985 ^ []), 989 ^ [], 983 ^ []))], (993 ^ _171950) ^ [] : [-(ordered_by(trajectory_of(984 ^ []), 983 ^ [], 988 ^ []))], (995 ^ _171950) ^ [] : [-(once at_the_same_time(at(984 ^ [], 988 ^ []), at(985 ^ [], 989 ^ [])))], (987 ^ _171950) ^ [] : [-(connect(984 ^ [], 985 ^ [], 983 ^ []))], !, (922 ^ _137093) ^ [_169341, _169343, _169345] : [once at_the_same_time(at_the_same_time(_169345, _169343), _169341), -(once at_the_same_time(_169345, at_the_same_time(_169343, _169341)))], (948 ^ _137093) ^ [_170273, _170275] : [once at(_170275, _170273), -(incident_o(_170273, trajectory_of(_170275)))], (4 ^ _137093) ^ [_137324, _137326] : [_137326 = _137324, -(_137324 = _137326)], (200 ^ _137093) ^ [_143784, _143786, _143788, _143790, _143792, _143794] : [-(connect(_143792, _143788, _143784)), connect(_143794, _143790, _143786), _143794 = _143792, _143790 = _143788, _143786 = _143784], (246 ^ _137093) ^ [_145315, _145317, _145319, _145321] : [-(sum(_145321, _145317) = sum(_145319, _145315)), _145321 = _145319, _145317 = _145315], (262 ^ _137093) ^ [_145864, _145866] : [_145866 = _145864, -(trajectory_of(_145866) = trajectory_of(_145864))], (218 ^ _137093) ^ [_144393, _144395, _144397, _144399, _144401, _144403] : [-(ordered_by(_144401, _144397, _144393)), ordered_by(_144403, _144399, _144395), _144403 = _144401, _144399 = _144397, _144395 = _144393], (544 ^ _137093) ^ [_155382] : [-(inner_point(542 ^ [_155382], _155382))], (642 ^ _137093) ^ [_159132, _159134, _159136, _159138] : [-(between_c(_159138, _159136, _159134, _159132)), -(_159136 = _159132), 647 ^ _137093 : [(648 ^ _137093) ^ [_159338] : [part_of(_159338, _159138), end_point(_159136, _159338), end_point(_159132, _159338), inner_point(_159134, _159338)]]], (236 ^ _137093) ^ [_144926, _144928] : [-(once _144926), _144928 = _144926, once _144928], (883 ^ _137093) ^ [_167848, _167850] : [-(_167850 = underlying_curve(_167848)), 887 ^ _137093 : [(890 ^ _137093) ^ [] : [incident_c(884 ^ [_167848, _167850], _167850)], (888 ^ _137093) ^ [] : [-(incident_o(884 ^ [_167848, _167850], _167848))]], 891 ^ _137093 : [(894 ^ _137093) ^ [] : [incident_o(884 ^ [_167848, _167850], _167848)], (892 ^ _137093) ^ [] : [-(incident_c(884 ^ [_167848, _167850], _167850))]]], (820 ^ _137093) ^ [_165609, _165611, _165613] : [open(_165609), -(_165613 = _165611), incident_c(_165613, _165609), incident_c(_165611, _165609), 836 ^ _137093 : [(843 ^ _137093) ^ [_166356] : [incident_c(_166356, _165609), -(incident_o(_166356, 835 ^ [_165609, _165611, _165613]))], (837 ^ _137093) ^ [_166158] : [incident_o(_166158, 835 ^ [_165609, _165611, _165613]), -(incident_c(_166158, _165609))], (849 ^ _137093) ^ [] : [-(ordered_by(835 ^ [_165609, _165611, _165613], _165613, _165611))]]], (148 ^ _137093) ^ [_142129, _142131, _142133, _142135] : [-(start_point(_142133, _142129)), start_point(_142135, _142131), _142135 = _142133, _142131 = _142129], (20 ^ _137093) ^ [_137841, _137843] : [-(closed(_137841)), _137843 = _137841, closed(_137843)], (546 ^ _137093) ^ [_155494, _155496] : [inner_point(_155494, _155496), 551 ^ _137093 : [(554 ^ _137093) ^ [] : [-(_155496 = sum(549 ^ [_155494, _155496], 550 ^ [_155494, _155496]))], (552 ^ _137093) ^ [] : [-(meet(_155494, 549 ^ [_155494, _155496], 550 ^ [_155494, _155496]))]]], (934 ^ _137093) ^ [_169753] : [once _169753, -(once at_the_same_time(_169753, _169753))], (329 ^ _137093) ^ [_148290, _148292, _148294] : [-(_148294 = sum(_148292, _148290)), 333 ^ _137093 : [(338 ^ _137093) ^ [] : [incident_c(330 ^ [_148290, _148292, _148294], _148290)], (336 ^ _137093) ^ [] : [incident_c(330 ^ [_148290, _148292, _148294], _148292)], (334 ^ _137093) ^ [] : [-(incident_c(330 ^ [_148290, _148292, _148294], _148294))]], 339 ^ _137093 : [(340 ^ _137093) ^ [] : [-(incident_c(330 ^ [_148290, _148292, _148294], _148292)), -(incident_c(330 ^ [_148290, _148292, _148294], _148290))], (346 ^ _137093) ^ [] : [incident_c(330 ^ [_148290, _148292, _148294], _148294)]]], (556 ^ _137093) ^ [_155982, _155984, _155986, _155988] : [end_point(_155986, _155988), end_point(_155984, _155988), end_point(_155982, _155988), -(_155986 = _155984), -(_155986 = _155982), -(_155984 = _155982)], (725 ^ _137093) ^ [_161959, _161961] : [finish_point(_161961, _161959), 728 ^ _137093 : [(731 ^ _137093) ^ [_162177] : [-(ordered_by(_161959, _162177, _161961)), -(_161961 = _162177), incident_o(_162177, _161959)], (729 ^ _137093) ^ [] : [-(incident_o(_161961, _161959))]]], (977 ^ _137093) ^ [_171302] : [once _171302, 981 ^ _137093 : [(982 ^ _137093) ^ [_171470] : [-(once at_the_same_time(_171302, at(_171470, 980 ^ [_171302, _171470])))]]], (694 ^ _137093) ^ [_160894, _160896] : [start_point(_160896, _160894), 697 ^ _137093 : [(700 ^ _137093) ^ [_161112] : [-(ordered_by(_160894, _160896, _161112)), -(_160896 = _161112), incident_o(_161112, _160894)], (698 ^ _137093) ^ [] : [-(incident_o(_160896, _160894))]]], (126 ^ _137093) ^ [_141395, _141397, _141399, _141401, _141403, _141405, _141407, _141409] : [-(between_c(_141407, _141403, _141399, _141395)), between_c(_141409, _141405, _141401, _141397), _141409 = _141407, _141405 = _141403, _141401 = _141399, _141397 = _141395], (928 ^ _137093) ^ [_169529, _169531, _169533] : [once at_the_same_time(_169533, at_the_same_time(_169531, _169529)), -(once at_the_same_time(at_the_same_time(_169533, _169531), _169529))], (288 ^ _137093) ^ [_146851, _146853] : [part_of(_146851, _146853), 291 ^ _137093 : [(292 ^ _137093) ^ [_146988] : [incident_c(_146988, _146851), -(incident_c(_146988, _146853))]]], (408 ^ _137093) ^ [_151091, _151093] : [-(inner_point(_151093, _151091)), incident_c(_151093, _151091), -(end_point(_151093, _151091))], (172 ^ _137093) ^ [_142868, _142870, _142872, _142874] : [-(incident_c(_142872, _142868)), incident_c(_142874, _142870), _142874 = _142872, _142870 = _142868], (916 ^ _137093) ^ [_169078, _169080] : [once at_the_same_time(_169078, _169080), -(once at_the_same_time(_169080, _169078))], (741 ^ _137093) ^ [_162454, _162456] : [-(finish_point(_162456, _162454)), incident_o(_162456, _162454), 747 ^ _137093 : [(752 ^ _137093) ^ [] : [ordered_by(_162454, 746 ^ [_162454, _162456], _162456)], (750 ^ _137093) ^ [] : [-(incident_o(746 ^ [_162454, _162456], _162454))], (748 ^ _137093) ^ [] : [_162456 = 746 ^ [_162454, _162456]]]], (678 ^ _137093) ^ [_160357, _160359, _160361, _160363] : [-(between_o(_160363, _160361, _160359, _160357)), 679 ^ _137093 : [(686 ^ _137093) ^ [] : [ordered_by(_160363, _160357, _160359), ordered_by(_160363, _160359, _160361)], (680 ^ _137093) ^ [] : [ordered_by(_160363, _160361, _160359), ordered_by(_160363, _160359, _160357)]]], (481 ^ _137093) ^ [_153538] : [482 ^ _137093 : [(483 ^ _137093) ^ [_153605] : [end_point(_153605, _153538)]], -(open(_153538))], (767 ^ _137093) ^ [_163456, _163458] : [incident_o(_163456, _163458), -(incident_c(_163456, 763 ^ [_163458]))], (76 ^ _137093) ^ [_139661, _139663, _139665, _139667] : [-(inner_point(_139665, _139661)), inner_point(_139667, _139663), _139667 = _139665, _139663 = _139661], (90 ^ _137093) ^ [_140105, _140107, _140109, _140111] : [-(finish_point(_140109, _140105)), finish_point(_140111, _140107), _140111 = _140109, _140107 = _140105], (710 ^ _137093) ^ [_161389, _161391] : [-(start_point(_161391, _161389)), incident_o(_161391, _161389), 716 ^ _137093 : [(721 ^ _137093) ^ [] : [ordered_by(_161389, _161391, 715 ^ [_161389, _161391])], (719 ^ _137093) ^ [] : [-(incident_o(715 ^ [_161389, _161391], _161389))], (717 ^ _137093) ^ [] : [_161391 = 715 ^ [_161389, _161391]]]], (798 ^ _137093) ^ [_164684, _164686, _164688, _164690] : [-(between_o(_164684, _164690, _164688, _164686)), 799 ^ _137093 : [(800 ^ _137093) ^ [_164795] : [between_c(_164795, _164690, _164688, _164686), 804 ^ _137093 : [(807 ^ _137093) ^ [] : [incident_c(801 ^ [_164684, _164686, _164688, _164690, _164795], _164795)], (805 ^ _137093) ^ [] : [-(incident_o(801 ^ [_164684, _164686, _164688, _164690, _164795], _164684))]], 808 ^ _137093 : [(811 ^ _137093) ^ [] : [incident_o(801 ^ [_164684, _164686, _164688, _164690, _164795], _164684)], (809 ^ _137093) ^ [] : [-(incident_c(801 ^ [_164684, _164686, _164688, _164690, _164795], _164795))]]]]], (940 ^ _137093) ^ [_169959, _169961] : [once at_the_same_time(_169961, _169959), 943 ^ _137093 : [(946 ^ _137093) ^ [] : [-(once _169959)], (944 ^ _137093) ^ [] : [-(once _169961)]]], (954 ^ _137093) ^ [_170443, _170445] : [incident_o(_170443, trajectory_of(_170445)), -(once at(_170445, _170443))], (765 ^ _137093) ^ [_163350] : [-(open(763 ^ [_163350]))], (756 ^ _137093) ^ [_163009, _163011, _163013] : [ordered_by(_163013, _163011, _163009), 759 ^ _137093 : [(762 ^ _137093) ^ [] : [-(incident_o(_163009, _163013))], (760 ^ _137093) ^ [] : [-(incident_o(_163011, _163013))]]], (779 ^ _137093) ^ [_163909, _163911, _163913, _163915] : [between_o(_163909, _163915, _163913, _163911), 783 ^ _137093 : [(790 ^ _137093) ^ [_164402] : [incident_c(_164402, 782 ^ [_163909, _163911, _163913, _163915]), -(incident_o(_164402, _163909))], (784 ^ _137093) ^ [_164192] : [incident_o(_164192, _163909), -(incident_c(_164192, 782 ^ [_163909, _163911, _163913, _163915]))], (796 ^ _137093) ^ [] : [-(between_c(782 ^ [_163909, _163911, _163913, _163915], _163915, _163913, _163911))]]], (2 ^ _137093) ^ [_137217] : [-(_137217 = _137217)], (62 ^ _137093) ^ [_139217, _139219, _139221, _139223] : [-(end_point(_139221, _139217)), end_point(_139223, _139219), _139223 = _139221, _139219 = _139217], (48 ^ _137093) ^ [_138773, _138775, _138777, _138779] : [-(part_of(_138777, _138773)), part_of(_138779, _138775), _138779 = _138777, _138775 = _138773], (256 ^ _137093) ^ [_145646, _145648] : [_145648 = _145646, -(underlying_curve(_145648) = underlying_curve(_145646))], (664 ^ _137093) ^ [_159915, _159917, _159919, _159921] : [between_o(_159921, _159919, _159917, _159915), 669 ^ _137093 : [(672 ^ _137093) ^ [] : [-(ordered_by(_159921, _159917, _159915))], (670 ^ _137093) ^ [] : [-(ordered_by(_159921, _159919, _159917))]], 673 ^ _137093 : [(676 ^ _137093) ^ [] : [-(ordered_by(_159921, _159917, _159919))], (674 ^ _137093) ^ [] : [-(ordered_by(_159921, _159915, _159917))]]], (400 ^ _137093) ^ [_150853, _150855] : [inner_point(_150855, _150853), 403 ^ _137093 : [(406 ^ _137093) ^ [] : [end_point(_150855, _150853)], (404 ^ _137093) ^ [] : [-(incident_c(_150855, _150853))]]], (910 ^ _137093) ^ [_168908, _168910] : [once at_the_same_time(_168910, _168908), -(once at_the_same_time(_168908, _168910))], (474 ^ _137093) ^ [_153333] : [open(_153333), -(end_point(477 ^ [_153333], _153333))], (378 ^ _137093) ^ [_149898, _149900] : [-(end_point(_149900, _149898)), incident_c(_149900, _149898), 385 ^ _137093 : [(388 ^ _137093) ^ [] : [-(part_of(384 ^ [_149898, _149900], _149898))], (386 ^ _137093) ^ [] : [-(part_of(383 ^ [_149898, _149900], _149898))], (396 ^ _137093) ^ [] : [part_of(384 ^ [_149898, _149900], 383 ^ [_149898, _149900])], (392 ^ _137093) ^ [] : [-(incident_c(_149900, 384 ^ [_149898, _149900]))], (394 ^ _137093) ^ [] : [part_of(383 ^ [_149898, _149900], 384 ^ [_149898, _149900])], (390 ^ _137093) ^ [] : [-(incident_c(_149900, 383 ^ [_149898, _149900]))]]], (898 ^ _137093) ^ [_168457, _168459, _168461] : [connect(_168461, _168459, _168457), -(once at_the_same_time(at(_168461, _168457), at(_168459, _168457)))], (487 ^ _137093) ^ [_153764, _153766] : [-(open(_153764)), part_of(_153764, _153766), -(_153764 = _153766)], (298 ^ _137093) ^ [_147165, _147167] : [300 ^ _137093 : [(303 ^ _137093) ^ [] : [incident_c(299 ^ [_147165, _147167], _147167)], (301 ^ _137093) ^ [] : [-(incident_c(299 ^ [_147165, _147167], _147165))]], -(part_of(_147165, _147167))], (578 ^ _137093) ^ [_156598, _156600] : [end_point(_156598, _156600), 582 ^ _137093 : [(585 ^ _137093) ^ [] : [_156598 = 581 ^ [_156598, _156600]], (583 ^ _137093) ^ [] : [-(end_point(581 ^ [_156598, _156600], _156600))]]], (818 ^ _137093) ^ [_165483] : [-(start_point(816 ^ [_165483], _165483))], (851 ^ _137093) ^ [_166675, _166677] : [-(_166677 = _166675), 856 ^ _137093 : [(859 ^ _137093) ^ [] : [ordered_by(_166675, 852 ^ [_166675, _166677], 853 ^ [_166675, _166677])], (857 ^ _137093) ^ [] : [-(ordered_by(_166677, 852 ^ [_166675, _166677], 853 ^ [_166675, _166677]))]], 860 ^ _137093 : [(863 ^ _137093) ^ [] : [ordered_by(_166677, 852 ^ [_166675, _166677], 853 ^ [_166675, _166677])], (861 ^ _137093) ^ [] : [-(ordered_by(_166675, 852 ^ [_166675, _166677], 853 ^ [_166675, _166677]))]]], (904 ^ _137093) ^ [_168643, _168645, _168647] : [once at_the_same_time(at(_168647, _168643), at(_168645, _168643)), -(connect(_168647, _168645, _168643))], (162 ^ _137093) ^ [_142545, _142547] : [-(open(_142545)), _142547 = _142545, open(_142547)], (773 ^ _137093) ^ [_163628, _163630] : [incident_c(_163628, 763 ^ [_163630]), -(incident_o(_163628, _163630))], (587 ^ _137093) ^ [_156984, _156986, _156988, _156990] : [598 ^ _137093 : [(599 ^ _137093) ^ [_157330] : [end_point(_157330, _156988), -(meet(_157330, _156988, _156986))]], closed(_156990), meet(_156984, _156988, _156986), _156990 = sum(_156988, _156986)], (186 ^ _137093) ^ [_143312, _143314, _143316, _143318] : [-(incident_o(_143316, _143312)), incident_o(_143318, _143314), _143318 = _143316, _143314 = _143312], (350 ^ _137093) ^ [_149070, _149072] : [end_point(_149072, _149070), 353 ^ _137093 : [(356 ^ _137093) ^ [_149322, _149324] : [-(part_of(_149324, _149322)), -(part_of(_149322, _149324)), part_of(_149324, _149070), part_of(_149322, _149070), incident_c(_149072, _149324), incident_c(_149072, _149322)], (354 ^ _137093) ^ [] : [-(incident_c(_149072, _149070))]]], (438 ^ _137093) ^ [_152106, _152108, _152110] : [-(meet(_152110, _152108, _152106)), incident_c(_152110, _152108), incident_c(_152110, _152106), 448 ^ _137093 : [(453 ^ _137093) ^ [] : [end_point(447 ^ [_152106, _152108, _152110], _152108), end_point(447 ^ [_152106, _152108, _152110], _152106)], (451 ^ _137093) ^ [] : [-(incident_c(447 ^ [_152106, _152108, _152110], _152106))], (449 ^ _137093) ^ [] : [-(incident_c(447 ^ [_152106, _152108, _152110], _152108))]]], (30 ^ _137093) ^ [_138192, _138194, _138196, _138198, _138200, _138202] : [-(meet(_138200, _138196, _138192)), meet(_138202, _138198, _138194), _138202 = _138200, _138198 = _138196, _138194 = _138192], (278 ^ _137093) ^ [_146449, _146451, _146453, _146455] : [-(at(_146455, _146451) = at(_146453, _146449)), _146455 = _146453, _146451 = _146449], (627 ^ _137093) ^ [_158520, _158522, _158524, _158526] : [between_c(_158526, _158524, _158522, _158520), 630 ^ _137093 : [(631 ^ _137093) ^ [] : [_158524 = _158520], (636 ^ _137093) ^ [] : [-(end_point(_158524, 632 ^ [_158520, _158522, _158524, _158526]))], (640 ^ _137093) ^ [] : [-(inner_point(_158522, 632 ^ [_158520, _158522, _158524, _158526]))], (638 ^ _137093) ^ [] : [-(end_point(_158520, 632 ^ [_158520, _158522, _158524, _158526]))], (634 ^ _137093) ^ [] : [-(part_of(632 ^ [_158520, _158522, _158524, _158526], _158526))]]], (418 ^ _137093) ^ [_151438, _151440, _151442] : [meet(_151442, _151440, _151438), 421 ^ _137093 : [(426 ^ _137093) ^ [_151741] : [433 ^ _137093 : [(436 ^ _137093) ^ [] : [-(end_point(_151741, _151438))], (434 ^ _137093) ^ [] : [-(end_point(_151741, _151440))]], incident_c(_151741, _151440), incident_c(_151741, _151438)], (424 ^ _137093) ^ [] : [-(incident_c(_151442, _151438))], (422 ^ _137093) ^ [] : [-(incident_c(_151442, _151440))]]], (461 ^ _137093) ^ [_152883] : [closed(_152883), 464 ^ _137093 : [(465 ^ _137093) ^ [_152994] : [end_point(_152994, _152883)]]], (268 ^ _137093) ^ [_146110, _146112, _146114, _146116] : [-(at_the_same_time(_146116, _146112) = at_the_same_time(_146114, _146110)), _146116 = _146114, _146112 = _146110], (963 ^ _137093) ^ [_170845, _170847, _170849, _170851, _170853, _170855] : [once at_the_same_time(at(_170847, _170855), at(_170845, _170853)), once at_the_same_time(at(_170847, _170851), at(_170845, _170849)), ordered_by(trajectory_of(_170847), _170855, _170851), ordered_by(trajectory_of(_170845), _170849, _170853)], (961 ^ _137093) ^ [_170675] : [-(trajectory_of(_170675) = 959 ^ [_170675])], (497 ^ _137093) ^ [_154092, _154094, _154096, _154098] : [part_of(_154096, _154098), part_of(_154094, _154098), part_of(_154092, _154098), 510 ^ _137093 : [(511 ^ _137093) ^ [_154503] : [end_point(_154503, _154096), end_point(_154503, _154094), end_point(_154503, _154092)]], -(part_of(_154094, _154092)), -(part_of(_154092, _154094)), -(part_of(_154096, _154094)), -(part_of(_154094, _154096)), -(part_of(_154096, _154092)), -(part_of(_154092, _154096))], (104 ^ _137093) ^ [_140605, _140607, _140609, _140611, _140613, _140615, _140617, _140619] : [-(between_o(_140617, _140613, _140609, _140605)), between_o(_140619, _140615, _140611, _140607), _140619 = _140617, _140615 = _140613, _140611 = _140609, _140607 = _140605], (605 ^ _137093) ^ [_157573, _157575] : [606 ^ _137093 : [(607 ^ _137093) ^ [_157652] : [meet(_157652, _157575, _157573)]], -(608 ^ [_157573, _157575] = sum(_157575, _157573))], (10 ^ _137093) ^ [_137528, _137530, _137532] : [-(_137532 = _137528), _137532 = _137530, _137530 = _137528], (467 ^ _137093) ^ [_153060] : [-(end_point(468 ^ [_153060], _153060)), -(closed(_153060))], (612 ^ _137093) ^ [_157853, _157855] : [-(_157855 = _157853), 616 ^ _137093 : [(619 ^ _137093) ^ [] : [incident_c(613 ^ [_157853, _157855], _157853)], (617 ^ _137093) ^ [] : [-(incident_c(613 ^ [_157853, _157855], _157855))]], 620 ^ _137093 : [(623 ^ _137093) ^ [] : [incident_c(613 ^ [_157853, _157855], _157855)], (621 ^ _137093) ^ [] : [-(incident_c(613 ^ [_157853, _157855], _157853))]]], (867 ^ _137093) ^ [_167327, _167329] : [_167329 = underlying_curve(_167327), 870 ^ _137093 : [(877 ^ _137093) ^ [_167669] : [incident_c(_167669, _167329), -(incident_o(_167669, _167327))], (871 ^ _137093) ^ [_167497] : [incident_o(_167497, _167327), -(incident_c(_167497, _167329))]]], (307 ^ _137093) ^ [_147565, _147567, _147569] : [_147569 = sum(_147567, _147565), 310 ^ _137093 : [(311 ^ _137093) ^ [_147747] : [incident_c(_147747, _147569), -(incident_c(_147747, _147567)), -(incident_c(_147747, _147565))], (321 ^ _137093) ^ [_148025] : [322 ^ _137093 : [(325 ^ _137093) ^ [] : [incident_c(_148025, _147565)], (323 ^ _137093) ^ [] : [incident_c(_148025, _147567)]], -(incident_c(_148025, _147569))]]]], input).
% 43.22/42.72  ncf('1',plain,[-(ordered_by(trajectory_of(985 ^ []), 989 ^ [], 983 ^ []))],start(991 ^ 0)).
% 43.22/42.72  ncf('1.1',plain,[ordered_by(trajectory_of(985 ^ []), 989 ^ [], 983 ^ []), once at_the_same_time(at(984 ^ [], 983 ^ []), at(985 ^ [], 983 ^ [])), once at_the_same_time(at(984 ^ [], 988 ^ []), at(985 ^ [], 989 ^ [])), ordered_by(trajectory_of(984 ^ []), 983 ^ [], 988 ^ [])],extension(963 ^ 1,bind([[_170845, _170847, _170849, _170851, _170853, _170855], [985 ^ [], 984 ^ [], 989 ^ [], 988 ^ [], 983 ^ [], 983 ^ []]]))).
% 43.22/42.72  ncf('1.1.1',plain,[-(once at_the_same_time(at(984 ^ [], 983 ^ []), at(985 ^ [], 983 ^ []))), connect(984 ^ [], 985 ^ [], 983 ^ [])],extension(898 ^ 2,bind([[_168457, _168459, _168461], [983 ^ [], 985 ^ [], 984 ^ []]]))).
% 43.22/42.72  ncf('1.1.1.1',plain,[-(connect(984 ^ [], 985 ^ [], 983 ^ []))],extension(987 ^ 3)).
% 43.22/42.72  ncf('1.1.2',plain,[-(once at_the_same_time(at(984 ^ [], 988 ^ []), at(985 ^ [], 989 ^ [])))],extension(995 ^ 2)).
% 43.22/42.72  ncf('1.1.3',plain,[-(ordered_by(trajectory_of(984 ^ []), 983 ^ [], 988 ^ []))],extension(993 ^ 2)).
% 43.22/42.72  %-----------------------------------------------------
% 43.22/42.72  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------