%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO531+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n029.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 11:12:38 EDT 2023

% Result   : Theorem 51.67s 51.00s
% Output   : Proof 51.67s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GEO531+1 : TPTP v8.1.2. Released v7.0.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n029.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 04:34:58 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 51.67/51.00  
% 51.67/51.00  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 51.67/51.00  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 51.67/51.00  %-----------------------------------------------------
% 51.67/51.00  ncf(matrix, plain, [(4811 ^ _264142) ^ [] : [congruent(4803 ^ [], 4804 ^ [], 4805 ^ [], 4803 ^ [], 4804 ^ [], 4805 ^ [])], (4809 ^ _264142) ^ [] : [4805 ^ [] = 4804 ^ []], (4807 ^ _264142) ^ [] : [4803 ^ [] = 4804 ^ []], !, (3618 ^ _89521) ^ [_219872, _219874, _219876] : [-(_219876 = _219874), s_col(_219876, _219874, _219872), -(reflect(_219876, _219874, _219872) = _219872)], (4156 ^ _89521) ^ [_238700, _238702, _238704, _238706, _238708, _238710, _238712, _238714] : [s_afs(_238714, _238712, _238710, _238708, _238706, _238704, _238702, _238700), -(s_e(_238714, _238708, _238706, _238700))], (1696 ^ _89521) ^ [_154652, _154654, _154656] : [s_col(_154656, _154654, _154652), -(s_t(_154656, _154654, _154652)), le(_154656, _154654, _154656, _154652), le(_154654, _154652, _154656, _154652)], (1158 ^ _89521) ^ [_134851, _134853, _134855, _134857] : [s_e(_134857, _134855, _134853, _134851), -(s_e(_134853, _134851, _134857, _134855))], (2694 ^ _89521) ^ [_188924, _188926, _188928, _188930, _188932] : [-(_188932 = _188930), -(_188928 = _188926), s_col(_188932, _188930, _188928), s_col(_188932, _188930, _188926), s_col(_188928, _188926, _188924), -(s_col(_188932, _188930, _188924))], (2242 ^ _89521) ^ [_173153, _173155, _173157] : [s_col(_173157, _173155, _173153), s_e(_173155, _173157, _173155, _173153), -(_173157 = _173153), -(s_m(_173157, _173155, _173153))], (4320 ^ _89521) ^ [_244694, _244696, _244698, _244700, _244702, _244704, _244706, _244708] : [s_fs(_244708, _244706, _244704, _244702, _244700, _244698, _244696, _244694), -(s_col(_244708, _244706, _244704))], (3950 ^ _89521) ^ [_231230, _231232, _231234, _231236, _231238, _231240] : [-(_231240 = _231238), -(_231236 = _231238), -(_231234 = _231232), -(_231230 = _231232), -(sameside(f113f(_231240, _231238, _231236, _231234, _231232, _231230), _231232, _231230)), -(congruent(_231240, _231238, _231236, _231234, _231232, _231230))], (2658 ^ _89521) ^ [_187554, _187556, _187558] : [-(s_col(_187558, _187556, _187554)), -(perp(_187558, _187556, _187554, foot(_187558, _187556, _187554)))], (1338 ^ _89521) ^ [] : [alpha = beta], (480 ^ _89521) ^ [_108367, _108369, _108371, _108373, _108375, _108377, _108379, _108381, _108383, _108385] : [-(insert5(_108385, _108381, _108377, _108373, _108369) = insert5(_108383, _108379, _108375, _108371, _108367)), _108385 = _108383, _108381 = _108379, _108377 = _108375, _108373 = _108371, _108369 = _108367], (4374 ^ _89521) ^ [_246731, _246733, _246735, _246737, _246739] : [s_t(_246735, _246731, _246733), s_e(_246739, _246737, _246735, _246731), -(le(_246739, _246737, _246735, _246733))], (1676 ^ _89521) ^ [_153984, _153986, _153988] : [s_col(_153988, _153986, _153984), s_t(_153988, _153986, _153984), -(le(_153986, _153984, _153988, _153984))], (1454 ^ _89521) ^ [_145850, _145852, _145854] : [s_col(_145854, _145852, _145850), -(s_col(_145854, _145850, _145852))], (1860 ^ _89521) ^ [_159970, _159972, _159974, _159976] : [-(_159976 = _159974), -(_159972 = _159970), -(s_e(_159974, insert(_159972, _159970, _159974, _159976), _159972, _159970))], (780 ^ _89521) ^ [_119887, _119889, _119891, _119893, _119895, _119897, _119899, _119901, _119903, _119905, _119907, _119909] : [-(triangle(_119909, _119905, _119901, _119897, _119893, _119889) = triangle(_119907, _119903, _119899, _119895, _119891, _119887)), _119909 = _119907, _119905 = _119903, _119901 = _119899, _119897 = _119895, _119893 = _119891, _119889 = _119887], (1658 ^ _89521) ^ [_153292, _153294, _153296, _153298] : [-(le(_153298, _153296, _153294, _153292)), -(le(_153294, _153292, _153298, _153296))], (2166 ^ _89521) ^ [_169995, _169997, _169999, _170001] : [s(_170001, _169999) = _169997, s(_170001, _169995) = _169997, -(_169999 = _169995)], (126 ^ _89521) ^ [_95013, _95015, _95017, _95019, _95021, _95023, _95025, _95027, _95029, _95031, _95033, _95035, _95037, _95039, _95041, _95043] : [-(s_fs(_95041, _95037, _95033, _95029, _95025, _95021, _95017, _95013)), s_fs(_95043, _95039, _95035, _95031, _95027, _95023, _95019, _95015), _95043 = _95041, _95039 = _95037, _95035 = _95033, _95031 = _95029, _95027 = _95025, _95023 = _95021, _95019 = _95017, _95015 = _95013], (2110 ^ _89521) ^ [_167937, _167939, _167941, _167943, _167945, _167947] : [sameside(_167947, _167945, _167943), sameside(_167941, _167939, _167937), s_e(_167945, _167947, _167939, _167941), s_e(_167945, _167943, _167939, _167937), -(s_e(_167947, _167943, _167941, _167937))], (2932 ^ _89521) ^ [_196834, _196836, _196838, _196840] : [-(_196840 = _196838), -(_196840 = _196836), -(_196838 = _196836), -(_196834 = _196836), -(_196840 = _196834), perp(_196838, _196840, _196840, _196836), s_col(_196840, _196836, _196834), -(perp(_196838, _196840, _196840, _196834))], (956 ^ _89521) ^ [_127011, _127013, _127015, _127017, _127019, _127021, _127023, _127025, _127027, _127029] : [-(f811(_127029, _127025, _127021, _127017, _127013) = f811(_127027, _127023, _127019, _127015, _127011)), _127029 = _127027, _127025 = _127023, _127021 = _127019, _127017 = _127015, _127013 = _127011], (2324 ^ _89521) ^ [_176031, _176033, _176035] : [s_e(_176035, _176033, _176035, _176031), -(s_m(_176033, isomidpoint(_176033, _176031, _176035), _176031))], (3588 ^ _89521) ^ [_218818, _218820, _218822, _218824] : [-(_218824 = _218822), reflect(_218824, _218822, _218820) = _218818, -(_218820 = reflect(_218824, _218822, _218818))], (1594 ^ _89521) ^ [_150763, _150765, _150767, _150769] : [le(_150769, _150767, _150765, _150763), -(s_t(_150769, _150767, ins(_150765, _150763, _150769, _150767)))], (3456 ^ _89521) ^ [_214474, _214476, _214478, _214480] : [-(_214480 = _214478), -(s_col(_214480, _214478, _214476)), -(s_col(_214480, _214478, _214474)), -(samesideline(_214476, _214474, _214480, _214478)), -(opposite(_214476, _214480, _214478, _214474)), -(_214480 = foot(_214480, _214478, _214476))], (2164 ^ _89521) ^ [_169852, _169854] : [-(s(_169854, s(_169854, _169852)) = _169852)], (3358 ^ _89521) ^ [_211137, _211139, _211141, _211143] : [samesideline(_211143, _211141, _211139, _211137), -(samesideline(_211143, _211141, _211137, _211139))], (978 ^ _89521) ^ [_127889, _127891, _127893, _127895, _127897, _127899, _127901, _127903, _127905, _127907] : [-(g811(_127907, _127903, _127899, _127895, _127891) = g811(_127905, _127901, _127897, _127893, _127889)), _127907 = _127905, _127903 = _127901, _127899 = _127897, _127895 = _127893, _127891 = _127889], (616 ^ _89521) ^ [_113541, _113543, _113545, _113547, _113549, _113551] : [-(erect21a(_113551, _113547, _113543) = erect21a(_113549, _113545, _113541)), _113551 = _113549, _113547 = _113545, _113543 = _113541], (1130 ^ _89521) ^ [_133911, _133913, _133915, _133917, _133919] : [s_t(_133919, _133917, _133915), s_t(_133913, _133911, _133915), -(s_t(_133917, ip(_133919, _133917, _133915, _133913, _133911), _133913))], (1270 ^ _89521) ^ [_139142, _139144, _139146, _139148] : [s_t(_139148, _139146, _139144), s_t(_139146, _139142, _139144), -(s_t(_139148, _139146, _139142))], (544 ^ _89521) ^ [_110753, _110755, _110757, _110759, _110761, _110763] : [-(isomidpoint(_110763, _110759, _110755) = isomidpoint(_110761, _110757, _110753)), _110763 = _110761, _110759 = _110757, _110755 = _110753], (1156 ^ _89521) ^ [_134712, _134714] : [-(s_e(_134714, _134712, _134714, _134712))], (4440 ^ _89521) ^ [_248796, _248798, _248800] : [s_m(_248800, _248798, _248796), -(s_e(_248798, _248800, _248798, _248796))], (1606 ^ _89521) ^ [_151169, _151171, _151173, _151175] : [le(_151175, _151173, _151171, _151169), -(ins(_151171, _151169, _151175, _151173) = ext(_151175, _151173, insert(_151175, _151173, _151171, _151169), _151169))], (946 ^ _89521) ^ [_126568, _126570, _126572, _126574] : [-(s(_126574, _126570) = s(_126572, _126568)), _126574 = _126572, _126570 = _126568], (1250 ^ _89521) ^ [_138342, _138344] : [-(s_t(_138344, _138342, _138342))], (2746 ^ _89521) ^ [_190547, _190549, _190551] : [-(_190551 = _190549), -(perp(_190551, _190549, erect(_190551, _190549, _190547), _190551))], (738 ^ _89521) ^ [_118211, _118213, _118215, _118217] : [-(midpoint(_118217, _118213) = midpoint(_118215, _118211)), _118217 = _118215, _118213 = _118211], (2962 ^ _89521) ^ [_197685, _197687, _197689, _197691] : [perp(_197691, _197689, _197687, _197685), -(perp(_197691, _197689, _197685, _197687))], (3850 ^ _89521) ^ [_227793, _227795, _227797, _227799, _227801, _227803] : [congruent(_227803, _227801, _227799, _227797, _227795, _227793), -(sameside(ext(_227795, _227793, _227801, _227799), _227795, _227793))], (1220 ^ _89521) ^ [_137246, _137248, _137250] : [s_e(_137250, _137248, _137246, _137246), -(_137250 = _137248)], (2968 ^ _89521) ^ [_197973, _197975, _197977, _197979, _197981, _197983] : [s_col(_197983, _197981, _197979), s_col(_197983, _197981, _197977), -(_197979 = _197977), -(_197983 = _197981), -(perp(_197979, _197977, _197975, _197973)), perp(_197983, _197981, _197975, _197973)], (2128 ^ _89521) ^ [_168524, _168526, _168528] : [s_m(_168528, _168526, _168524), -(s_m(_168524, _168526, _168528))], (2048 ^ _89521) ^ [_165915, _165917, _165919, _165921, _165923] : [-(_165923 = _165921), -(_165919 = _165917), s_col(_165919, _165917, _165923), s_col(_165919, _165917, _165921), s_col(_165919, _165917, _165915), -(s_col(_165923, _165921, _165915))], (2688 ^ _89521) ^ [_188650, _188652, _188654, _188656] : [perp(_188656, _188654, _188652, _188650), -(perp(_188654, _188656, _188652, _188650))], (2282 ^ _89521) ^ [_174439, _174441, _174443, _174445, _174447, _174449, _174451] : [s_kf(_174451, _174449, _174447, _174445, _174443, _174441, _174439), -(s_t(_174449, _174445, _174441)), le(_174445, _174451, _174445, _174439)], (344 ^ _89521) ^ [_103188, _103190, _103192, _103194, _103196, _103198, _103200, _103202] : [-(opposite(_103200, _103196, _103192, _103188)), opposite(_103202, _103198, _103194, _103190), _103202 = _103200, _103198 = _103196, _103194 = _103192, _103190 = _103188], (3416 ^ _89521) ^ [_213231, _213233, _213235, _213237, _213239] : [-(_213239 = _213237), perpAt(_213239, _213237, _213235, _213233, _213235), perpAt(_213239, _213237, _213235, _213231, _213235), -(_213233 = _213235), -(s_col(_213235, _213233, _213231))], (3972 ^ _89521) ^ [_231885, _231887, _231889, _231891, _231893, _231895] : [-(_231895 = _231893), -(_231891 = _231893), -(_231889 = _231887), -(_231885 = _231887), -(s_e(_231893, f113a(_231895, _231893, _231891, _231889, _231887, _231885), _231887, f113d(_231895, _231893, _231891, _231889, _231887, _231885))), -(congruent(_231895, _231893, _231891, _231889, _231887, _231885))], (2388 ^ _89521) ^ [_178306, _178308, _178310] : [s_r(_178310, _178308, _178306), s_col(_178310, _178308, _178306), -(_178310 = _178308), -(_178306 = _178308)], (1344 ^ _89521) ^ [_141593, _141595] : [-(s_t(_141595, _141593, ext(_141595, _141593, alpha, gamma)))], (1410 ^ _89521) ^ [_144122, _144124, _144126, _144128, _144130] : [s_t(_144130, _144128, _144126), s_e(_144130, _144126, _144124, _144122), -(s_e3(_144130, _144128, _144126, _144124, insert(_144130, _144128, _144124, _144122), _144122))], (4368 ^ _89521) ^ [_246531, _246533, _246535, _246537, _246539] : [le(_246539, _246537, _246535, _246533), -(s_e(_246539, _246537, _246535, insert(_246539, _246537, _246535, _246533)))], (2540 ^ _89521) ^ [_183822, _183824, _183826, _183828, _183830] : [perpAt(_183830, _183828, _183826, _183824, _183822), -(_183826 = il(_183830, _183828, _183824, _183822))], (4406 ^ _89521) ^ [_247788, _247790, _247792] : [s_t(_247790, _247792, _247788), -(_247792 = _247790), -(xb = _247790), -(sameside(_247792, _247790, _247788))], (1850 ^ _89521) ^ [_159685, _159687, _159689, _159691] : [-(_159691 = _159689), -(_159687 = _159685), -(sameside(insert(_159687, _159685, _159689, _159691), _159689, _159691))], (3396 ^ _89521) ^ [_212472, _212474, _212476, _212478] : [-(_212478 = _212476), samesideline(_212474, _212472, _212478, _212476), -(samesideline(_212472, _212474, _212478, _212476))], (2196 ^ _89521) ^ [_171156, _171158, _171160, _171162] : [s_t(_171162, _171160, _171158), -(s_t(s(_171156, _171162), s(_171156, _171160), s(_171156, _171158)))], (318 ^ _89521) ^ [_102229, _102231, _102233, _102235, _102237, _102239, _102241, _102243, _102245, _102247] : [-(perpAt(_102245, _102241, _102237, _102233, _102229)), perpAt(_102247, _102243, _102239, _102235, _102231), _102247 = _102245, _102243 = _102241, _102239 = _102237, _102235 = _102233, _102231 = _102229], (4200 ^ _89521) ^ [_240357, _240359, _240361, _240363, _240365, _240367, _240369, _240371] : [s_ifs(_240371, _240369, _240367, _240365, _240363, _240361, _240359, _240357), -(s_t(_240363, _240361, _240359))], (1074 ^ _89521) ^ [_131788, _131790, _131792, _131794, _131796, _131798] : [s_e(_131798, _131796, _131794, _131792), s_e(_131798, _131796, _131790, _131788), -(s_e(_131794, _131792, _131790, _131788))], (3558 ^ _89521) ^ [_217738, _217740, _217742, _217744] : [-(_217744 = _217742), s_col(_217744, _217742, midpoint(_217740, _217738)), _217740 = _217738, -(_217738 = reflect(_217744, _217742, _217740))], (2848 ^ _89521) ^ [_194054, _194056, _194058, _194060, _194062, _194064] : [perp(_194064, _194062, _194062, _194060), perp(_194058, _194060, _194062, _194060), s_col(_194062, _194060, _194056), s_t(_194064, _194056, _194058), s_t(_194060, _194054, _194058), s_e(_194062, _194064, _194060, _194054), -(s_m(_194064, midpoint(_194062, _194060), _194054))], (278 ^ _89521) ^ [_100774, _100776, _100778, _100780, _100782, _100784] : [-(s_r(_100782, _100778, _100774)), s_r(_100784, _100780, _100776), _100784 = _100782, _100780 = _100778, _100776 = _100774], (4698 ^ _89521) ^ [_257867, _257869, _257871, _257873, _257875, _257877, _257879] : [samesideline(_257879, _257877, _257875, _257873), -(s_col(_257875, _257873, ss2(_257879, _257877, _257875, _257873)))], (2356 ^ _89521) ^ [_177181, _177183] : [-(s_r(_177183, _177181, _177181))], (2014 ^ _89521) ^ [_164805, _164807, _164809, _164811] : [-(_164811 = _164809), -(_164807 = _164811), s_col(_164811, _164809, _164807), s_col(_164811, _164809, _164805), -(s_col(_164811, _164807, _164805))], (1916 ^ _89521) ^ [_161842, _161844, _161846, _161848] : [-(_161848 = _161846), -(_161848 = _161844), s_t(_161846, _161848, _161844), s_col(_161842, _161848, _161846), -(_161842 = _161848), -(sameside(_161842, _161848, _161846)), -(sameside(_161842, _161848, _161844))], (1340 ^ _89521) ^ [] : [beta = gamma], (186 ^ _89521) ^ [_97337, _97339, _97341, _97343, _97345, _97347] : [-(sameside(_97345, _97341, _97337)), sameside(_97347, _97343, _97339), _97347 = _97345, _97343 = _97341, _97339 = _97337], (1252 ^ _89521) ^ [_138466, _138468, _138470] : [s_t(_138470, _138468, _138466), -(s_t(_138466, _138468, _138470))], (3328 ^ _89521) ^ [_210014, _210016, _210018, _210020, _210022] : [opposite(_210022, _210020, _210018, _210016), -(opposite(_210014, _210020, _210018, _210016)), samesideline(_210022, _210014, _210020, _210018)], (3496 ^ _89521) ^ [_215708, _215710, _215712, _215714, _215716] : [samesideline(_215716, _215714, _215712, _215710), sameside(_215716, _215710, _215708), -(samesideline(_215708, _215714, _215712, _215710))], (222 ^ _89521) ^ [_98667, _98669, _98671, _98673, _98675, _98677, _98679, _98681, _98683, _98685, _98687, _98689, _98691, _98693] : [-(s_kf(_98691, _98687, _98683, _98679, _98675, _98671, _98667)), s_kf(_98693, _98689, _98685, _98681, _98677, _98673, _98669), _98693 = _98691, _98689 = _98687, _98685 = _98683, _98681 = _98679, _98677 = _98675, _98673 = _98671, _98669 = _98667], (3884 ^ _89521) ^ [_229265, _229267, _229269, _229271, _229273, _229275] : [-(_229275 = _229273), -(_229271 = _229273), -(_229269 = _229267), -(_229265 = _229267), -(sameside(f113a(_229275, _229273, _229271, _229269, _229267, _229265), _229273, _229275)), -(congruent(_229275, _229273, _229271, _229269, _229267, _229265))], (4590 ^ _89521) ^ [_254113, _254115, _254117, _254119, _254121, _254123, _254125] : [-(perpAt(_254125, _254123, _254121, _254119, _254117)), -(_254125 = _254123), -(_254119 = _254117), s_col(_254125, _254123, _254121), s_col(_254119, _254117, _254121), -(s_col(_254119, _254117, g811(_254125, _254123, _254119, _254117, _254121)))], (4434 ^ _89521) ^ [_248602, _248604, _248606] : [s_m(_248606, _248604, _248602), -(s_t(_248606, _248604, _248602))], (4308 ^ _89521) ^ [_244188, _244190, _244192] : [-(s_col(_244192, _244190, _244188)), s_t(_244190, _244188, _244192)], (2910 ^ _89521) ^ [_196132, _196134, _196136, _196138, _196140, _196142] : [s_col(_196142, _196140, _196138), s_col(_196142, _196140, _196136), -(_196138 = _196136), -(_196142 = _196140), perp(_196138, _196136, _196134, _196132), -(perp(_196142, _196140, _196134, _196132))], (1442 ^ _89521) ^ [_145378, _145380, _145382] : [s_col(_145382, _145380, _145378), -(s_col(_145378, _145380, _145382))], (2716 ^ _89521) ^ [_189606, _189608, _189610] : [-(_189610 = _189608), -(perp(_189610, _189608, erect21a(_189610, _189608, _189606), _189610)), -(s_col(_189610, _189608, _189606))], (4530 ^ _89521) ^ [_252100, _252102, _252104, _252106, _252108, _252110, _252112] : [perpAt(_252112, _252110, _252108, _252106, _252104), -(s_col(_252112, _252110, _252108))], (4646 ^ _89521) ^ [_256074, _256076, _256078, _256080, _256082] : [-(_256082 = _256080), -(s_col(_256082, _256080, _256078)), -(s_col(_256082, _256080, _256076)), s_t(_256078, _256074, _256076), s_col(_256082, _256080, _256074), -(opposite(_256078, _256082, _256080, _256076))], (1686 ^ _89521) ^ [_154319, _154321, _154323] : [s_t(_154323, _154321, _154319), s_e(_154323, _154319, _154323, _154321), -(_154319 = _154321)], (1448 ^ _89521) ^ [_145614, _145616, _145618] : [s_col(_145618, _145616, _145614), -(s_col(_145616, _145618, _145614))], (3294 ^ _89521) ^ [_208792, _208794, _208796, _208798, _208800, _208802] : [opposite(_208802, _208800, _208798, _208796), s_col(_208800, _208798, _208794), sameside(_208802, _208794, _208792), -(opposite(_208792, _208800, _208798, _208796))], (2032 ^ _89521) ^ [_165330, _165332] : [-(_165332 = _165330), -(s_col(_165332, _165330, _165332))], (2194 ^ _89521) ^ [_171009, _171011, _171013] : [-(s_e(_171013, _171011, s(_171009, _171013), s(_171009, _171011)))], (1612 ^ _89521) ^ [_151473, _151475, _151477, _151479, _151481] : [-(le(_151481, _151479, _151477, _151475)), s_t(_151481, _151479, _151473), s_e(_151481, _151473, _151477, _151475)], (702 ^ _89521) ^ [_116901, _116903, _116905, _116907, _116909, _116911, _116913, _116915, _116917, _116919] : [-(op(_116919, _116915, _116911, _116907, _116903) = op(_116917, _116913, _116909, _116905, _116901)), _116919 = _116917, _116915 = _116913, _116911 = _116909, _116907 = _116905, _116903 = _116901], (3406 ^ _89521) ^ [_212844, _212846, _212848, _212850, _212852] : [opposite(_212852, _212850, _212848, _212846), samesideline(_212846, _212844, _212850, _212848), -(opposite(_212852, _212850, _212848, _212844))], (2430 ^ _89521) ^ [_179943, _179945, _179947, _179949, _179951] : [perpAt(_179951, _179949, _179947, _179945, _179943), _179945 = _179943], (502 ^ _89521) ^ [_109217, _109219, _109221, _109223, _109225, _109227, _109229, _109231] : [-(ins(_109231, _109227, _109223, _109219) = ins(_109229, _109225, _109221, _109217)), _109231 = _109229, _109227 = _109225, _109223 = _109221, _109219 = _109217], (3856 ^ _89521) ^ [_228001, _228003, _228005, _228007, _228009, _228011] : [congruent(_228011, _228009, _228007, _228005, _228003, _228001), -(s_e3(ext(_228009, _228011, _228003, _228005), _228009, ext(_228009, _228007, _228003, _228001), ext(_228003, _228005, _228009, _228011), _228003, ext(_228003, _228001, _228009, _228007)))], (2208 ^ _89521) ^ [_171718, _171720, _171722, _171724, _171726] : [s_e(_171726, _171724, _171722, _171720), -(s_e(s(_171718, _171726), s(_171718, _171724), s(_171718, _171722), s(_171718, _171720)))], (3100 ^ _89521) ^ [_202254, _202256, _202258, _202260, _202262, _202264, _202266, _202268] : [opposite(_202268, _202266, _202264, _202262), -(_202266 = _202264), s_col(_202266, _202264, _202260), s_col(_202266, _202264, _202258), perp(_202266, _202264, _202268, _202258), perp(_202266, _202264, _202262, _202260), s_m(_202258, _202256, _202260), sameside(_202254, _202258, _202268), le(_202260, _202262, _202258, _202268), -(_202258 = _202260), -(sameside(s(_202256, _202254), _202260, _202262))], (164 ^ _89521) ^ [_96575, _96577, _96579, _96581, _96583, _96585, _96587, _96589] : [-(le(_96587, _96583, _96579, _96575)), le(_96589, _96585, _96581, _96577), _96589 = _96587, _96585 = _96583, _96581 = _96579, _96577 = _96575], (2070 ^ _89521) ^ [_166633, _166635, _166637, _166639, _166641, _166643, _166645] : [-(_166645 = _166643), -(_166641 = _166639), s_col(_166645, _166643, _166637), s_col(_166641, _166639, _166637), s_col(_166645, _166643, _166635), s_col(_166641, _166639, _166635), -(_166637 = _166635), s_col(_166645, _166643, _166633), -(s_col(_166641, _166639, _166633))], (2 ^ _89521) ^ [_89645] : [-(_89645 = _89645)], (3318 ^ _89521) ^ [_209619, _209621, _209623, _209625, _209627] : [s_t(_209627, _209625, _209623), s_t(_209621, _209619, _209625), -(s_t(_209623, _209619, op(_209619, _209621, _209623, _209625, _209627)))], (3094 ^ _89521) ^ [_201924, _201926, _201928, _201930] : [sameside(_201930, _201928, _201926), -(sameside(s(_201924, _201930), s(_201924, _201928), s(_201924, _201926)))], (4518 ^ _89521) ^ [_251596, _251598, _251600] : [s_r(_251600, _251598, _251596), -(s_e(_251600, _251596, _251600, s(_251598, _251596)))], (2176 ^ _89521) ^ [_170344, _170346, _170348] : [s(_170348, _170346) = s(_170348, _170344), -(_170346 = _170344)], (2888 ^ _89521) ^ [_195376, _195378, _195380, _195382, _195384, _195386, _195388] : [s_col(_195388, _195386, _195384), s_col(_195388, _195386, _195382), -(_195384 = _195382), -(_195388 = _195386), perpAt(_195384, _195382, _195380, _195378, _195376), -(perpAt(_195388, _195386, _195380, _195378, _195376))], (1666 ^ _89521) ^ [_153649, _153651, _153653] : [s_col(_153653, _153651, _153649), s_t(_153653, _153651, _153649), -(le(_153653, _153651, _153653, _153649))], (2526 ^ _89521) ^ [_183330, _183332, _183334, _183336, _183338] : [perp(_183338, _183336, _183334, _183332), s_col(_183338, _183336, _183330), s_col(_183334, _183332, _183330), -(perpAt(_183338, _183336, _183330, _183334, _183332))], (2460 ^ _89521) ^ [_181016, _181018, _181020, _181022, _181024] : [perpAt(_181024, _181022, _181020, _181018, _181016), _181020 = f813(_181024, _181022, _181018, _181016, _181020)], (1000 ^ _89521) ^ [_128739, _128741, _128743, _128745, _128747, _128749, _128751, _128753] : [-(il(_128753, _128749, _128745, _128741) = il(_128751, _128747, _128743, _128739)), _128753 = _128751, _128749 = _128747, _128745 = _128743, _128741 = _128739], (2134 ^ _89521) ^ [_168746, _168748] : [s_m(_168748, _168746, _168748), -(_168746 = _168748)], (1152 ^ _89521) ^ [] : [s_t(beta, gamma, alpha)], (4362 ^ _89521) ^ [_246313, _246315, _246317, _246319, _246321] : [le(_246321, _246319, _246317, _246315), -(s_t(_246317, insert(_246321, _246319, _246317, _246315), _246315))], (4314 ^ _89521) ^ [_244362, _244364, _244366] : [-(s_col(_244366, _244364, _244362)), s_t(_244362, _244366, _244364)], (4144 ^ _89521) ^ [_238228, _238230, _238232, _238234, _238236, _238238, _238240, _238242] : [s_afs(_238242, _238240, _238238, _238236, _238234, _238232, _238230, _238228), -(s_e(_238242, _238240, _238234, _238232))], (4568 ^ _89521) ^ [_253434, _253436, _253438, _253440, _253442, _253444, _253446] : [-(perpAt(_253446, _253444, _253442, _253440, _253438)), -(_253446 = _253444), -(_253440 = _253438), s_col(_253446, _253444, _253442), s_col(_253440, _253438, _253442), -(s_col(_253446, _253444, f811(_253446, _253444, _253440, _253438, _253442)))], (4130 ^ _89521) ^ [_237528, _237530, _237532, _237534] : [-(insert(_237534, _237532, _237530, _237528) = ext(ext(_237528, _237530, alpha, gamma), _237530, _237534, _237532))], (3222 ^ _89521) ^ [_206327, _206329, _206331, _206333, _206335, _206337, _206339, _206341] : [opposite(_206341, _206339, _206337, _206335), -(_206339 = _206337), s_col(_206339, _206337, _206333), s_col(_206339, _206337, _206331), perp(_206339, _206337, _206341, _206331), perp(_206339, _206337, _206335, _206333), s_m(_206331, _206329, _206333), sameside(_206327, _206331, _206341), -(sameside(s(_206329, _206327), _206333, _206335))], (3072 ^ _89521) ^ [_201194, _201196, _201198, _201200, _201202, _201204, _201206] : [opposite(_201206, _201204, _201202, _201200), s_col(_201204, _201202, _201198), s_m(_201206, _201198, _201200), s_col(_201204, _201202, _201196), sameside(_201206, _201196, _201194), -(opposite(_201194, _201204, _201202, _201200))], (4486 ^ _89521) ^ [_250521, _250523, _250525, _250527, _250529, _250531, _250533] : [s_kf(_250533, _250531, _250529, _250527, _250525, _250523, _250521), -(s_m(_250521, _250523, _250525))], (1896 ^ _89521) ^ [_161158, _161160, _161162] : [sameside(_161162, _161160, _161158), le(_161160, _161162, _161160, _161158), -(s_t(_161160, _161162, _161158))], (1376 ^ _89521) ^ [_142864, _142866, _142868, _142870, _142872, _142874, _142876, _142878] : [s_ifs(_142878, _142876, _142874, _142872, _142870, _142868, _142866, _142864), -(s_e(_142876, _142872, _142868, _142864))], (4262 ^ _89521) ^ [_242678, _242680, _242682, _242684, _242686, _242688] : [s_e3(_242688, _242686, _242684, _242682, _242680, _242678), -(s_e(_242688, _242684, _242682, _242678))], (2786 ^ _89521) ^ [_191865, _191867] : [-(s_m(_191867, midpoint(_191867, _191865), _191865))], (3528 ^ _89521) ^ [_216779, _216781, _216783] : [-(_216783 = _216781), -(s_col(_216783, _216781, midpoint(_216779, reflect(_216783, _216781, _216779))))], (1348 ^ _89521) ^ [_141882, _141884, _141886, _141888, _141890, _141892] : [s_t(_141892, _141890, _141888), s_t(_141886, _141884, _141888), s_t(_141892, _141882, _141886), -(s_t(_141882, crossbar(_141892, _141890, _141888, _141886, _141884, _141882), _141888))], (1772 ^ _89521) ^ [_156995, _156997, _156999] : [sameside(_156999, _156997, _156995), -(s_t(_156999, _156997, c63(_156999, _156997, _156995)))], (3798 ^ _89521) ^ [_225951, _225953, _225955, _225957, _225959, _225961, _225963, _225965] : [-(_225965 = _225963), -(s_col(_225965, _225963, _225961)), -(s_col(_225959, _225957, _225955)), s_e(_225965, _225963, _225959, _225957), s_e3(_225965, _225963, _225961, _225959, _225957, _225953), samesideline(_225953, _225955, _225959, _225957), s_e3(_225965, _225963, _225961, _225959, _225957, _225951), samesideline(_225951, _225955, _225959, _225957), -(_225953 = _225951)], (1806 ^ _89521) ^ [_158100, _158102, _158104] : [sameside(_158104, _158102, _158100), -(s_col(_158104, _158102, _158100))], (20 ^ _89521) ^ [_90465, _90467, _90469, _90471, _90473, _90475, _90477, _90479, _90481, _90483, _90485, _90487, _90489, _90491, _90493, _90495] : [-(s_afs(_90493, _90489, _90485, _90481, _90477, _90473, _90469, _90465)), s_afs(_90495, _90491, _90487, _90483, _90479, _90475, _90471, _90467), _90495 = _90493, _90491 = _90489, _90487 = _90485, _90483 = _90481, _90479 = _90477, _90475 = _90473, _90471 = _90469, _90467 = _90465], (2336 ^ _89521) ^ [_176527, _176529, _176531, _176533] : [s_r(_176533, _176531, _176529), -(_176533 = _176531), s_col(_176531, _176533, _176527), -(s_r(_176527, _176531, _176529))], (2330 ^ _89521) ^ [_176277, _176279, _176281] : [s_r(_176281, _176279, _176277), -(s_r(_176277, _176279, _176281))], (1090 ^ _89521) ^ [_132412, _132414, _132416, _132418] : [-(s_t(_132418, _132416, ext(_132418, _132416, _132414, _132412)))], (3572 ^ _89521) ^ [_218205, _218207, _218209, _218211] : [-(_218211 = _218209), reflect(_218211, _218209, _218207) = _218205, -(reflect(_218211, _218209, _218205) = _218207)], (296 ^ _89521) ^ [_101411, _101413, _101415, _101417, _101419, _101421, _101423, _101425] : [-(perp(_101423, _101419, _101415, _101411)), perp(_101425, _101421, _101417, _101413), _101425 = _101423, _101421 = _101419, _101417 = _101415, _101413 = _101411], (520 ^ _89521) ^ [_109878, _109880, _109882, _109884, _109886, _109888] : [-(c63(_109888, _109884, _109880) = c63(_109886, _109882, _109878)), _109888 = _109886, _109884 = _109882, _109880 = _109878], (2442 ^ _89521) ^ [_180362, _180364, _180366, _180368, _180370] : [perpAt(_180370, _180368, _180366, _180364, _180362), -(s_col(_180370, _180368, _180366))], (3658 ^ _89521) ^ [_221341, _221343, _221345, _221347, _221349] : [s_r(_221349, _221347, _221345), s_r(_221343, _221347, _221341), s_e(_221349, _221347, _221343, _221347), s_e(_221347, _221345, _221347, _221341), -(s_e(_221349, _221345, _221343, _221341)), _221347 = midpoint(_221345, _221341), -(_221345 = _221341)], (2214 ^ _89521) ^ [_172022, _172024, _172026, _172028, _172030] : [-(s_e(_172030, _172028, _172026, _172024)), s_e(s(_172022, _172030), s(_172022, _172028), s(_172022, _172026), s(_172022, _172024))], (2478 ^ _89521) ^ [_181786, _181788, _181790, _181792, _181794, _181796, _181798] : [-(_181798 = _181796), -(_181794 = _181792), s_col(_181794, _181792, _181790), s_col(_181798, _181796, _181790), s_col(_181798, _181796, _181788), s_col(_181794, _181792, _181786), -(_181790 = _181788), -(_181790 = _181786), s_r(_181788, _181790, _181786), -(perpAt(_181798, _181796, _181790, _181794, _181792))], (3434 ^ _89521) ^ [_213810, _213812, _213814, _213816] : [-(_213816 = _213814), -(s_col(_213816, _213814, _213812)), -(s_col(_213816, _213814, _213810)), -(samesideline(_213812, _213810, _213816, _213814)), -(opposite(_213812, _213816, _213814, _213810)), _213816 = foot(_213816, _213814, _213812)], (4692 ^ _89521) ^ [_257637, _257639, _257641, _257643, _257645, _257647, _257649] : [samesideline(_257649, _257647, _257645, _257643), -(s_col(_257645, _257643, ss1(_257649, _257647, _257645, _257643)))], (2104 ^ _89521) ^ [_167661, _167663] : [-(_167663 = _167661), s_col(_167663, _167661, pointOffLine(_167663, _167661))], (1342 ^ _89521) ^ [] : [alpha = gamma], (1346 ^ _89521) ^ [_141692, _141694] : [_141694 = ext(_141692, _141694, alpha, gamma)], (1778 ^ _89521) ^ [_157177, _157179, _157181] : [sameside(_157181, _157179, _157177), -(s_t(_157177, _157179, c63(_157181, _157179, _157177)))], (2236 ^ _89521) ^ [_172897, _172899, _172901] : [s(_172901, s(_172899, _172897)) = s(_172899, s(_172901, _172897)), -(_172901 = _172899)], (1978 ^ _89521) ^ [_163699, _163701, _163703, _163705] : [-(_163705 = _163703), -(_163705 = _163701), s_t(_163703, _163705, _163701), _163699 = _163705, -(s_col(_163699, _163705, _163703))], (1188 ^ _89521) ^ [_136166, _136168, _136170, _136172, _136174, _136176] : [s_t(_136176, _136174, _136172), s_t(_136170, _136168, _136166), s_e(_136176, _136174, _136170, _136168), s_e(_136174, _136172, _136168, _136166), -(s_e(_136176, _136172, _136170, _136166))], (2582 ^ _89521) ^ [_185194, _185196, _185198, _185200, _185202] : [-(_185202 = _185200), s_col(_185202, _185200, _185198), s_col(_185202, _185200, _185196), -(_185196 = _185198), -(s_r(_185194, _185198, _185196)), perp(_185202, _185200, _185194, _185198)], (2298 ^ _89521) ^ [_175202, _175204, _175206, _175208, _175210, _175212, _175214] : [s_t(_175214, _175212, _175210), s_t(_175208, _175212, _175206), s_e(_175212, _175214, _175212, _175208), s_e(_175212, _175210, _175212, _175206), s_m(_175214, _175204, _175208), s_m(_175210, _175202, _175206), -(s_t(_175204, _175212, _175202))], (2436 ^ _89521) ^ [_180152, _180154, _180156, _180158, _180160] : [perpAt(_180160, _180158, _180156, _180154, _180152), -(s_col(_180154, _180152, _180156))], (4326 ^ _89521) ^ [_244928, _244930, _244932, _244934, _244936, _244938, _244940, _244942] : [s_fs(_244942, _244940, _244938, _244936, _244934, _244932, _244930, _244928), -(s_e3(_244942, _244940, _244938, _244934, _244932, _244930))], (3040 ^ _89521) ^ [_200007, _200009, _200011, _200013] : [opposite(_200013, _200011, _200009, _200007), -(opposite(_200007, _200011, _200009, _200013))], (1290 ^ _89521) ^ [_139856, _139858, _139860, _139862] : [s_t(_139862, _139860, _139858), s_t(_139860, _139858, _139856), -(_139860 = _139858), -(s_t(_139862, _139858, _139856))], (1766 ^ _89521) ^ [_156794, _156796, _156798] : [sameside(_156798, _156796, _156794), c63(_156798, _156796, _156794) = _156796], (2764 ^ _89521) ^ [_191208, _191210, _191212, _191214, _191216] : [le(_191216, _191214, _191212, _191210), perp(_191216, _191212, _191216, _191214), perp(_191216, _191212, _191212, _191210), s_t(_191214, _191208, _191210), s_col(_191216, _191212, _191208), -(s_m(_191216, midpointAux(_191216, _191212, _191214, _191210, _191208), _191212))], (680 ^ _89521) ^ [_116023, _116025, _116027, _116029, _116031, _116033, _116035, _116037, _116039, _116041] : [-(ip(_116041, _116037, _116033, _116029, _116025) = ip(_116039, _116035, _116031, _116027, _116023)), _116041 = _116039, _116037 = _116035, _116033 = _116031, _116029 = _116027, _116025 = _116023], (4384 ^ _89521) ^ [_247112, _247114, _247116] : [sameside(_247116, _247114, _247112), _247116 = _247114], (1260 ^ _89521) ^ [_138797, _138799, _138801] : [s_t(_138801, _138799, _138797), s_t(_138799, _138801, _138797), -(_138801 = _138799)], (1072 ^ _89521) ^ [_131621, _131623] : [-(s_e(_131623, _131621, _131621, _131623))], (3838 ^ _89521) ^ [_227337, _227339, _227341, _227343, _227345, _227347] : [congruent(_227347, _227345, _227343, _227341, _227339, _227337), -(sameside(ext(_227345, _227343, _227339, _227337), _227345, _227343))], (3256 ^ _89521) ^ [_207505, _207507, _207509, _207511, _207513, _207515, _207517, _207519, _207521] : [opposite(_207521, _207519, _207517, _207515), -(_207519 = _207517), s_col(_207519, _207517, _207513), s_col(_207519, _207517, _207511), perp(_207519, _207517, _207521, _207511), perp(_207519, _207517, _207515, _207513), s_m(_207511, _207509, _207513), sameside(_207507, _207511, _207521), sameside(_207505, _207513, _207515), -(opposite(_207507, _207519, _207517, _207505))], (256 ^ _89521) ^ [_100012, _100014, _100016, _100018, _100020, _100022, _100024, _100026] : [-(s_e(_100024, _100020, _100016, _100012)), s_e(_100026, _100022, _100018, _100014), _100026 = _100024, _100022 = _100020, _100018 = _100016, _100014 = _100012], (558 ^ _89521) ^ [_111325, _111327, _111329, _111331, _111333, _111335, _111337, _111339, _111341, _111343] : [-(f813(_111343, _111339, _111335, _111331, _111327) = f813(_111341, _111337, _111333, _111329, _111325)), _111343 = _111341, _111339 = _111337, _111335 = _111333, _111331 = _111329, _111327 = _111325], (4612 ^ _89521) ^ [_254772, _254774, _254776, _254778, _254780, _254782, _254784] : [-(perpAt(_254784, _254782, _254780, _254778, _254776)), -(_254784 = _254782), -(_254778 = _254776), s_col(_254784, _254782, _254780), s_col(_254778, _254776, _254780), s_r(f811(_254784, _254782, _254778, _254776, _254780), _254780, g811(_254784, _254782, _254778, _254776, _254780))], (1314 ^ _89521) ^ [_140668, _140670, _140672, _140674] : [s_t(_140674, _140672, _140670), s_t(_140674, _140670, _140668), -(s_t(_140674, _140672, _140668))], (1462 ^ _89521) ^ [_146152, _146154] : [-(s_col(_146154, _146152, _146154))], (1484 ^ _89521) ^ [_147158, _147160, _147162, _147164, _147166, _147168, _147170, _147172] : [s_fs(_147172, _147170, _147168, _147166, _147164, _147162, _147160, _147158), -(_147172 = _147170), -(s_e(_147168, _147166, _147160, _147158))], (580 ^ _89521) ^ [_112203, _112205, _112207, _112209, _112211, _112213, _112215, _112217, _112219, _112221] : [-(g813(_112221, _112217, _112213, _112209, _112205) = g813(_112219, _112215, _112211, _112207, _112203)), _112221 = _112219, _112217 = _112215, _112213 = _112211, _112209 = _112207, _112205 = _112203], (1512 ^ _89521) ^ [_148158, _148160, _148162, _148164] : [-(_148164 = _148162), s_col(_148164, _148162, _148160), s_e(_148164, _148160, _148164, _148158), s_e(_148162, _148160, _148162, _148158), -(_148160 = _148158)], (1092 ^ _89521) ^ [_132468, _132470, _132472, _132474] : [-(s_e(_132472, ext(_132474, _132472, _132470, _132468), _132470, _132468))], (1530 ^ _89521) ^ [_148716, _148718, _148720, _148722] : [s_t(_148722, _148720, _148718), s_e(_148722, _148720, _148722, _148716), s_e(_148718, _148720, _148718, _148716), -(_148720 = _148716)], (3638 ^ _89521) ^ [_220594, _220596, _220598, _220600] : [-(_220600 = _220598), -(s_e(_220596, _220594, reflect(_220600, _220598, _220596), reflect(_220600, _220598, _220594)))], (2818 ^ _89521) ^ [_193058, _193060, _193062, _193064, _193066, _193068, _193070] : [perp(_193070, _193068, _193068, _193066), perp(_193064, _193066, _193068, _193066), s_col(_193068, _193066, _193062), s_t(_193070, _193062, _193064), s_t(_193066, _193060, _193064), s_e(_193068, _193070, _193066, _193060), _193058 = ip(_193070, _193062, _193064, _193066, _193060), -(s_m(_193070, _193058, _193060))], (3608 ^ _89521) ^ [_219536, _219538, _219540] : [-(_219540 = _219538), reflect(_219540, _219538, _219536) = _219536, -(s_col(_219540, _219538, _219536))], (1430 ^ _89521) ^ [_144906, _144908, _144910] : [s_col(_144910, _144908, _144906), -(s_col(_144908, _144906, _144910))], (2140 ^ _89521) ^ [_168960, _168962] : [-(s_m(_168962, _168960, _168962)), _168960 = _168962], (1840 ^ _89521) ^ [_159308, _159310, _159312, _159314] : [sameside(_159314, _159312, _159310), sameside(_159310, _159312, _159308), -(sameside(_159314, _159312, _159308))], (4038 ^ _89521) ^ [_234059, _234061, _234063, _234065, _234067, _234069, _234071, _234073, _234075, _234077] : [congruent(_234077, _234075, _234073, _234071, _234069, _234067), sameside(_234065, _234075, _234077), sameside(_234063, _234075, _234073), sameside(_234061, _234069, _234071), sameside(_234059, _234069, _234067), s_e(_234075, _234065, _234069, _234061), s_e(_234075, _234063, _234069, _234059), -(s_e(_234065, _234063, _234061, _234059))], (2758 ^ _89521) ^ [_190927, _190929, _190931] : [-(_190931 = _190929), -(s_t(_190927, erectAux(_190931, _190929, _190927), erect(_190931, _190929, _190927)))], (3544 ^ _89521) ^ [_217345, _217347, _217349, _217351] : [-(_217351 = _217349), s_col(_217351, _217349, midpoint(_217347, _217345)), perp(_217351, _217349, _217347, _217345), -(_217345 = reflect(_217351, _217349, _217347))], (2674 ^ _89521) ^ [_188184, _188186, _188188, _188190] : [s_r(_188190, _188188, _188186), s_m(s(_188190, _188186), _188184, s(_188188, _188186)), -(_188188 = _188186), _188190 = _188184], (4068 ^ _89521) ^ [_235253, _235255, _235257, _235259, _235261, _235263, _235265, _235267, _235269, _235271, _235273, _235275, _235277, _235279] : [sameside(_235279, _235277, _235275), sameside(_235273, _235277, _235271), sameside(_235269, _235267, _235265), sameside(_235263, _235267, _235261), s_e3(_235279, _235277, _235273, _235269, _235267, _235263), -(_235259 = _235277), -(_235257 = _235277), -(_235255 = _235267), -(_235253 = _235267), sameside(_235275, _235277, _235259), sameside(_235271, _235277, _235257), sameside(_235265, _235267, _235255), sameside(_235261, _235267, _235253), s_e(_235277, _235275, _235267, _235265), s_e(_235277, _235271, _235267, _235261), -(s_e(_235275, _235271, _235265, _235261))], (2604 ^ _89521) ^ [_185888, _185890, _185892, _185894, _185896] : [-(_185896 = _185894), s_col(_185896, _185894, _185892), s_col(_185896, _185894, _185890), -(_185890 = _185892), -(perp(_185896, _185894, _185888, _185892)), -(s_col(_185896, _185894, _185888)), s_r(_185888, _185892, _185890)], (2256 ^ _89521) ^ [_173610, _173612, _173614, _173616, _173618] : [-(s_col(_173618, _173616, _173614)), -(_173616 = _173612), s_e(_173618, _173616, _173614, _173612), s_e(_173616, _173614, _173612, _173618), s_col(_173618, _173610, _173614), s_col(_173616, _173610, _173612), -(s_m(_173618, _173610, _173614))], (2188 ^ _89521) ^ [_170792, _170794] : [-(s(_170794, _170792) = _170792), _170792 = _170794], (2418 ^ _89521) ^ [_179440, _179442, _179444, _179446] : [perp(_179446, _179444, _179442, _179440), -(perp(_179442, _179440, _179446, _179444))], (3478 ^ _89521) ^ [_215137, _215139, _215141, _215143] : [-(_215143 = _215141), -(s_col(_215143, _215141, _215139)), -(s_col(_215143, _215141, _215137)), -(samesideline(_215139, _215137, _215143, _215141)), -(opposite(_215139, _215143, _215141, _215137))], (4462 ^ _89521) ^ [_249613, _249615, _249617, _249619, _249621, _249623, _249625] : [s_kf(_249625, _249623, _249621, _249619, _249617, _249615, _249613), -(s_t(_249621, _249619, _249617))], (4740 ^ _89521) ^ [_259513, _259515, _259517, _259519, _259521, _259523, _259525] : [samesideline(_259525, _259523, _259521, _259519), _259521 = _259519], (658 ^ _89521) ^ [_115145, _115147, _115149, _115151, _115153, _115155, _115157, _115159, _115161, _115163] : [-(midpointAux(_115163, _115159, _115155, _115151, _115147) = midpointAux(_115161, _115157, _115153, _115149, _115145)), _115163 = _115161, _115159 = _115157, _115155 = _115153, _115151 = _115149, _115147 = _115145], (2148 ^ _89521) ^ [_169300, _169302, _169304, _169306] : [s_m(_169306, _169304, _169302), s_m(_169306, _169304, _169300), -(_169302 = _169300)], (1420 ^ _89521) ^ [_144537, _144539, _144541, _144543, _144545, _144547] : [s_t(_144547, _144545, _144543), s_e3(_144547, _144545, _144543, _144541, _144539, _144537), -(s_t(_144541, _144539, _144537))], (4554 ^ _89521) ^ [_252986, _252988, _252990, _252992, _252994, _252996, _252998] : [perpAt(_252998, _252996, _252994, _252992, _252990), s_col(_252998, _252996, _252988), s_col(_252992, _252990, _252986), -(s_r(_252988, _252994, _252986))], (3012 ^ _89521) ^ [_199074, _199076, _199078, _199080, _199082] : [s_col(_199082, _199080, _199078), -(_199082 = _199080), -(_199082 = _199078), samesideline(_199076, _199074, _199082, _199080), -(samesideline(_199076, _199074, _199082, _199078))], (1834 ^ _89521) ^ [_159058, _159060, _159062] : [sameside(_159062, _159060, _159058), -(sameside(_159058, _159060, _159062))], (630 ^ _89521) ^ [_114057, _114059, _114061, _114063, _114065, _114067] : [-(erectAux(_114067, _114063, _114059) = erectAux(_114065, _114061, _114057)), _114067 = _114065, _114063 = _114061, _114059 = _114057], (10 ^ _89521) ^ [_89956, _89958, _89960] : [-(_89960 = _89956), _89960 = _89958, _89958 = _89956], (4274 ^ _89521) ^ [_243098, _243100, _243102, _243104, _243106, _243108] : [s_e(_243108, _243106, _243102, _243100), s_e(_243108, _243104, _243102, _243098), s_e(_243106, _243104, _243100, _243098), -(s_e3(_243108, _243106, _243104, _243102, _243100, _243098))], (1382 ^ _89521) ^ [_143184, _143186, _143188, _143190, _143192, _143194] : [s_t(_143194, _143192, _143190), s_t(_143188, _143186, _143184), s_e(_143194, _143190, _143188, _143184), s_e(_143192, _143190, _143186, _143184), -(s_e(_143194, _143192, _143188, _143186))], (884 ^ _89521) ^ [_124219, _124221, _124223, _124225, _124227, _124229, _124231, _124233, _124235, _124237, _124239, _124241] : [-(f113f(_124241, _124237, _124233, _124229, _124225, _124221) = f113f(_124239, _124235, _124231, _124227, _124223, _124219)), _124241 = _124239, _124237 = _124235, _124233 = _124231, _124229 = _124227, _124225 = _124223, _124221 = _124219], (2202 ^ _89521) ^ [_171430, _171432, _171434, _171436] : [-(s_t(_171436, _171434, _171432)), s_t(s(_171430, _171436), s(_171430, _171434), s(_171430, _171432))], (748 ^ _89521) ^ [_118598, _118600, _118602, _118604, _118606, _118608] : [-(reflect(_118608, _118604, _118600) = reflect(_118606, _118602, _118598)), _118608 = _118606, _118604 = _118602, _118600 = _118598], (2372 ^ _89521) ^ [_177761, _177763, _177765] : [s_r(_177765, _177763, _177761), s_r(_177765, _177761, _177763), -(_177763 = _177761)], (1154 ^ _89521) ^ [] : [s_t(gamma, alpha, beta)], (4138 ^ _89521) ^ [_237994, _237996, _237998, _238000, _238002, _238004, _238006, _238008] : [s_afs(_238008, _238006, _238004, _238002, _238000, _237998, _237996, _237994), -(s_t(_238000, _237998, _237996))], (4640 ^ _89521) ^ [_255770, _255772, _255774, _255776, _255778] : [-(perp(_255778, _255776, _255774, _255772)), perpAt(_255778, _255776, _255770, _255774, _255772)], (3720 ^ _89521) ^ [_223361, _223363, _223365, _223367] : [-(_223367 = _223365), reflect(_223367, _223365, _223363) = _223361, -(s_col(_223367, _223365, _223363)), -(opposite(_223363, _223367, _223365, _223361))], (4734 ^ _89521) ^ [_259274, _259276, _259278, _259280, _259282, _259284, _259286] : [samesideline(_259286, _259284, _259282, _259280), ss3(_259286, _259284, _259282, _259280) = ss2(_259286, _259284, _259282, _259280)], (3598 ^ _89521) ^ [_219184, _219186, _219188, _219190] : [-(_219190 = _219188), reflect(_219190, _219188, _219186) = reflect(_219190, _219188, _219184), -(_219186 = _219184)], (1648 ^ _89521) ^ [_152929, _152931, _152933, _152935] : [le(_152935, _152933, _152931, _152929), le(_152931, _152929, _152935, _152933), -(s_e(_152935, _152933, _152931, _152929))], (1600 ^ _89521) ^ [_150975, _150977, _150979, _150981] : [le(_150981, _150979, _150977, _150975), -(s_e(_150981, ins(_150977, _150975, _150981, _150979), _150977, _150975))], (2230 ^ _89521) ^ [_172653, _172655, _172657] : [s(_172657, _172655) = s(_172653, _172655), -(_172657 = _172653)], (4132 ^ _89521) ^ [_237760, _237762, _237764, _237766, _237768, _237770, _237772, _237774] : [s_afs(_237774, _237772, _237770, _237768, _237766, _237764, _237762, _237760), -(s_t(_237774, _237772, _237770))], (3046 ^ _89521) ^ [_200309, _200311, _200313, _200315, _200317, _200319, _200321] : [opposite(_200321, _200319, _200317, _200315), s_col(_200319, _200317, _200313), s_m(_200321, _200313, _200315), s_col(_200319, _200317, _200311), sameside(_200321, _200311, _200309), -(opposite(_200309, _200319, _200317, _200315)), s_t(_200311, _200309, _200321)], (4288 ^ _89521) ^ [_243608, _243610, _243612] : [s_col(_243612, _243610, _243608), -(s_t(_243612, _243610, _243608)), -(s_t(_243610, _243608, _243612)), -(s_t(_243608, _243612, _243610))], (4668 ^ _89521) ^ [_256697, _256699, _256701, _256703, _256705] : [opposite(_256701, _256705, _256703, _256699), s_col(_256705, _256703, _256701)], (3364 ^ _89521) ^ [_211411, _211413, _211415, _211417, _211419] : [-(_211419 = _211417), s_m(_211415, _211413, _211411), s_col(_211419, _211417, _211415), s_col(_211419, _211417, _211411), -(s_col(_211419, _211417, _211413))], (1140 ^ _89521) ^ [_134214, _134216, _134218, _134220, _134222] : [s_t(_134222, _134220, _134218), s_t(_134216, _134214, _134218), -(s_t(_134214, ip(_134222, _134220, _134218, _134216, _134214), _134222))], (2158 ^ _89521) ^ [_169641, _169643, _169645] : [s_m(_169645, _169643, _169641), -(_169641 = s(_169643, _169645))], (4332 ^ _89521) ^ [_245168, _245170, _245172, _245174, _245176, _245178, _245180, _245182] : [s_fs(_245182, _245180, _245178, _245176, _245174, _245172, _245170, _245168), -(s_e(_245182, _245176, _245174, _245168))], (2630 ^ _89521) ^ [_186684, _186686, _186688, _186690, _186692] : [-(s_col(_186692, _186690, _186688)), s_col(_186692, _186690, _186686), s_col(_186692, _186690, _186684), perp(_186692, _186690, _186688, _186686), perp(_186692, _186690, _186688, _186684), -(_186686 = _186684)], (1710 ^ _89521) ^ [_155100, _155102, _155104, _155106] : [-(_155106 = _155104), -(_155102 = _155104), -(_155100 = _155104), s_t(_155106, _155104, _155100), s_t(_155102, _155104, _155100), -(sameside(_155106, _155104, _155102))], (4536 ^ _89521) ^ [_252322, _252324, _252326, _252328, _252330, _252332, _252334] : [perpAt(_252334, _252332, _252330, _252328, _252326), -(s_col(_252328, _252326, _252330))], (3382 ^ _89521) ^ [_211999, _212001, _212003, _212005, _212007] : [-(_212007 = _212005), s_t(_212005, _212007, _212003), samesideline(_212001, _211999, _212003, _212005), -(samesideline(_212001, _211999, _212007, _212005))], (1818 ^ _89521) ^ [_158513, _158515, _158517] : [-(sameside(_158517, _158515, _158513)), s_col(_158517, _158515, _158513), -(s_t(_158517, _158515, _158513))], (1362 ^ _89521) ^ [_142306, _142308, _142310, _142312, _142314, _142316] : [s_t(_142316, _142314, _142312), s_t(_142310, _142308, _142312), s_t(_142316, _142306, _142310), -(s_t(_142314, crossbar(_142316, _142314, _142312, _142310, _142308, _142306), _142308))], (3338 ^ _89521) ^ [_210387, _210389, _210391, _210393] : [opposite(_210393, _210391, _210389, _210387), samesideline(_210393, _210387, _210391, _210389)], (4704 ^ _89521) ^ [_258097, _258099, _258101, _258103, _258105, _258107, _258109] : [samesideline(_258109, _258107, _258105, _258103), -(s_t(_258109, ss1(_258109, _258107, _258105, _258103), ss3(_258109, _258107, _258105, _258103)))], (4634 ^ _89521) ^ [_255568, _255570, _255572, _255574, _255576] : [perp(_255576, _255574, _255572, _255570), -(perpAt(_255576, _255574, il(_255576, _255574, _255572, _255570), _255572, _255570))], (3862 ^ _89521) ^ [_228413, _228415, _228417, _228419, _228421, _228423, _228425, _228427, _228429, _228431] : [sameside(_228431, _228429, _228427), sameside(_228425, _228429, _228423), sameside(_228421, _228419, _228417), sameside(_228415, _228419, _228413), s_e3(_228431, _228429, _228425, _228421, _228419, _228415), -(congruent(_228427, _228429, _228423, _228417, _228419, _228413))], (2382 ^ _89521) ^ [_178078, _178080] : [s_r(_178080, _178078, _178080), -(_178080 = _178078)], (602 ^ _89521) ^ [_113025, _113027, _113029, _113031, _113033, _113035] : [-(erectAux21a(_113035, _113031, _113027) = erectAux21a(_113033, _113029, _113025)), _113035 = _113033, _113031 = _113029, _113027 = _113025], (2038 ^ _89521) ^ [_165557, _165559, _165561] : [-(_165561 = _165559), s_col(_165561, _165559, _165557), -(s_col(_165559, _165561, _165557))], (3762 ^ _89521) ^ [_224749, _224751, _224753, _224755, _224757, _224759] : [-(_224759 = _224757), -(s_col(_224759, _224757, _224755)), -(s_col(_224753, _224751, _224749)), s_e(_224759, _224757, _224753, _224751), -(s_e3(_224759, _224757, _224755, _224753, _224751, triangle(_224759, _224757, _224755, _224753, _224751, _224749)))], (910 ^ _89521) ^ [_125246, _125248, _125250, _125252, _125254, _125256, _125258, _125260] : [-(ext(_125260, _125256, _125252, _125248) = ext(_125258, _125254, _125250, _125246)), _125260 = _125258, _125256 = _125254, _125252 = _125250, _125248 = _125246], (4150 ^ _89521) ^ [_238464, _238466, _238468, _238470, _238472, _238474, _238476, _238478] : [s_afs(_238478, _238476, _238474, _238472, _238470, _238468, _238466, _238464), -(s_e(_238476, _238474, _238468, _238466))], (3780 ^ _89521) ^ [_225285, _225287, _225289, _225291, _225293, _225295] : [-(_225295 = _225293), -(s_col(_225295, _225293, _225291)), -(s_col(_225289, _225287, _225285)), s_e(_225295, _225293, _225289, _225287), -(samesideline(triangle(_225295, _225293, _225291, _225289, _225287, _225285), _225285, _225289, _225287))], (4542 ^ _89521) ^ [_252544, _252546, _252548, _252550, _252552, _252554, _252556] : [perpAt(_252556, _252554, _252552, _252550, _252548), _252556 = _252554], (1084 ^ _89521) ^ [_132157, _132159, _132161] : [s_e(_132161, _132159, _132157, _132157), -(_132161 = _132159)], (4396 ^ _89521) ^ [_247498, _247500, _247502] : [sameside(_247502, _247500, _247498), -(s_t(_247500, _247502, _247498)), -(s_t(_247500, _247498, _247502))], (384 ^ _89521) ^ [_104559, _104561, _104563, _104565, _104567, _104569] : [-(s_col(_104567, _104563, _104559)), s_col(_104569, _104565, _104561), _104569 = _104567, _104565 = _104563, _104561 = _104559], (2472 ^ _89521) ^ [_181438, _181440, _181442, _181444, _181446] : [perpAt(_181446, _181444, _181442, _181440, _181438), -(s_r(f813(_181446, _181444, _181440, _181438, _181442), _181442, g813(_181446, _181444, _181440, _181438, _181442)))], (3928 ^ _89521) ^ [_230575, _230577, _230579, _230581, _230583, _230585] : [-(_230585 = _230583), -(_230581 = _230583), -(_230579 = _230577), -(_230575 = _230577), -(sameside(f113d(_230585, _230583, _230581, _230579, _230577, _230575), _230577, _230579)), -(congruent(_230585, _230583, _230581, _230579, _230577, _230575))], (3994 ^ _89521) ^ [_232556, _232558, _232560, _232562, _232564, _232566] : [-(_232566 = _232564), -(_232562 = _232564), -(_232560 = _232558), -(_232556 = _232558), -(s_e(_232564, f113c(_232566, _232564, _232562, _232560, _232558, _232556), _232558, f113f(_232566, _232564, _232562, _232560, _232558, _232556))), -(congruent(_232566, _232564, _232562, _232560, _232558, _232556))], (4206 ^ _89521) ^ [_240591, _240593, _240595, _240597, _240599, _240601, _240603, _240605] : [s_ifs(_240605, _240603, _240601, _240599, _240597, _240595, _240593, _240591), -(s_e(_240605, _240601, _240597, _240593))], (4016 ^ _89521) ^ [_233207, _233209, _233211, _233213, _233215, _233217] : [-(_233217 = _233215), -(_233213 = _233215), -(_233211 = _233209), -(_233207 = _233209), s_e(f113a(_233217, _233215, _233213, _233211, _233209, _233207), f113c(_233217, _233215, _233213, _233211, _233209, _233207), f113d(_233217, _233215, _233213, _233211, _233209, _233207), f113f(_233217, _233215, _233213, _233211, _233209, _233207)), -(congruent(_233217, _233215, _233213, _233211, _233209, _233207))], (4468 ^ _89521) ^ [_249839, _249841, _249843, _249845, _249847, _249849, _249851] : [s_kf(_249851, _249849, _249847, _249845, _249843, _249841, _249839), -(s_e(_249845, _249851, _249845, _249847))], (1036 ^ _89521) ^ [_130117, _130119, _130121, _130123, _130125, _130127, _130129, _130131] : [-(ss3(_130131, _130127, _130123, _130119) = ss3(_130129, _130125, _130121, _130117)), _130131 = _130129, _130127 = _130125, _130123 = _130121, _130119 = _130117], (58 ^ _89521) ^ [_92139, _92141, _92143, _92145, _92147, _92149, _92151, _92153, _92155, _92157, _92159, _92161, _92163, _92165, _92167, _92169] : [-(s_ifs(_92167, _92163, _92159, _92155, _92151, _92147, _92143, _92139)), s_ifs(_92169, _92165, _92161, _92157, _92153, _92149, _92145, _92141), _92169 = _92167, _92165 = _92163, _92161 = _92159, _92157 = _92155, _92153 = _92151, _92149 = _92147, _92145 = _92143, _92141 = _92139], (3030 ^ _89521) ^ [_199649, _199651, _199653, _199655] : [-(_199655 = _199653), samesideline(_199651, _199649, _199655, _199653), -(samesideline(_199651, _199649, _199653, _199655))], (1784 ^ _89521) ^ [_157443, _157445, _157447, _157449] : [-(sameside(_157449, _157447, _157445)), -(_157449 = _157447), -(_157445 = _157447), -(_157443 = _157447), s_t(_157449, _157447, _157443), s_t(_157445, _157447, _157443)], (2412 ^ _89521) ^ [_179170, _179172, _179174, _179176, _179178] : [perpAt(_179178, _179176, _179174, _179172, _179170), -(perpAt(_179172, _179170, _179174, _179178, _179176))], (1094 ^ _89521) ^ [_132674, _132676, _132678, _132680, _132682, _132684, _132686, _132688] : [s_e(_132688, _132686, _132684, _132682), s_e(_132686, _132680, _132682, _132678), s_e(_132688, _132676, _132684, _132674), s_e(_132686, _132676, _132682, _132674), s_t(_132688, _132686, _132680), s_t(_132684, _132682, _132678), -(_132688 = _132686), -(s_e(_132680, _132676, _132678, _132674))], (1436 ^ _89521) ^ [_145142, _145144, _145146] : [s_col(_145146, _145144, _145142), -(s_col(_145142, _145146, _145144))], (1622 ^ _89521) ^ [_151900, _151902, _151904, _151906, _151908, _151910, _151912, _151914] : [le(_151914, _151912, _151910, _151908), s_e(_151914, _151912, _151906, _151904), s_e(_151910, _151908, _151902, _151900), -(le(_151906, _151904, _151902, _151900))], (1174 ^ _89521) ^ [_135522, _135524, _135526, _135528] : [s_e(_135528, _135526, _135524, _135522), -(s_e(_135526, _135528, _135524, _135522))], (4162 ^ _89521) ^ [_238936, _238938, _238940, _238942, _238944, _238946, _238948, _238950] : [s_afs(_238950, _238948, _238946, _238944, _238942, _238940, _238938, _238936), -(s_e(_238948, _238944, _238940, _238936))], (4680 ^ _89521) ^ [_257115, _257117, _257119, _257121, _257123] : [opposite(_257119, _257123, _257121, _257117), -(s_t(_257119, il(_257119, _257117, _257123, _257121), _257117))], (4256 ^ _89521) ^ [_242458, _242460, _242462, _242464, _242466, _242468] : [s_e3(_242468, _242466, _242464, _242462, _242460, _242458), -(s_e(_242468, _242466, _242462, _242460))], (2220 ^ _89521) ^ [_172312, _172314, _172316, _172318] : [s_m(_172318, _172316, _172314), s_m(_172318, _172312, _172314), -(_172316 = _172312)], (1474 ^ _89521) ^ [_146715, _146717, _146719, _146721, _146723] : [s_col(_146723, _146721, _146719), s_e(_146723, _146721, _146717, _146715), -(s_e3(_146723, _146721, _146719, _146717, _146715, insert5(_146723, _146721, _146719, _146717, _146715)))], (1018 ^ _89521) ^ [_129428, _129430, _129432, _129434, _129436, _129438, _129440, _129442] : [-(ss1(_129442, _129438, _129434, _129430) = ss1(_129440, _129436, _129432, _129428)), _129442 = _129440, _129438 = _129436, _129434 = _129432, _129430 = _129428], (2788 ^ _89521) ^ [_192048, _192050, _192052, _192054, _192056, _192058, _192060] : [perp(_192060, _192058, _192058, _192056), perp(_192054, _192056, _192058, _192056), s_col(_192058, _192056, _192052), s_t(_192060, _192052, _192054), s_t(_192056, _192050, _192054), s_e(_192058, _192060, _192056, _192050), _192048 = ip(_192060, _192052, _192054, _192056, _192050), -(s_m(_192058, _192048, _192056))], (1304 ^ _89521) ^ [_140311, _140313, _140315, _140317] : [s_t(_140317, _140315, _140313), s_t(_140315, _140311, _140313), -(s_t(_140317, _140311, _140313))], (3702 ^ _89521) ^ [_222760, _222762, _222764, _222766, _222768, _222770] : [s_r(_222770, _222768, _222766), s_r(_222764, _222762, _222760), s_e(_222770, _222768, _222764, _222762), s_e(_222768, _222766, _222762, _222760), -(s_e(_222770, _222766, _222764, _222760))], (1942 ^ _89521) ^ [_162593, _162595, _162597, _162599] : [-(_162599 = _162597), -(_162599 = _162595), s_t(_162597, _162599, _162595), sameside(_162593, _162599, _162597), -(s_col(_162593, _162599, _162597))], (2358 ^ _89521) ^ [_177319, _177321, _177323, _177325] : [s_r(_177325, _177323, _177321), s_r(_177319, _177323, _177321), s_t(_177325, _177321, _177319), -(_177323 = _177321)], (1186 ^ _89521) ^ [_135999, _136001] : [-(s_e(_136001, _136001, _135999, _135999))], (2454 ^ _89521) ^ [_180794, _180796, _180798, _180800, _180802] : [perpAt(_180802, _180800, _180798, _180796, _180794), -(s_col(_180796, _180794, g813(_180802, _180800, _180796, _180794, _180798)))], (1562 ^ _89521) ^ [_149731, _149733, _149735, _149737] : [-(_149737 = _149735), s_t(_149737, _149735, _149733), s_t(_149737, _149735, _149731), -(s_t(_149735, _149733, _149731)), -(s_t(_149735, _149731, _149733))], (858 ^ _89521) ^ [_123136, _123138, _123140, _123142, _123144, _123146, _123148, _123150, _123152, _123154, _123156, _123158] : [-(f113d(_123158, _123154, _123150, _123146, _123142, _123138) = f113d(_123156, _123152, _123148, _123144, _123140, _123136)), _123158 = _123156, _123154 = _123152, _123150 = _123148, _123146 = _123144, _123142 = _123140, _123138 = _123136], (2466 ^ _89521) ^ [_181237, _181239, _181241, _181243, _181245] : [perpAt(_181245, _181243, _181241, _181239, _181237), _181241 = g813(_181245, _181243, _181239, _181237, _181241)], (4302 ^ _89521) ^ [_243994, _243996, _243998] : [-(s_col(_243998, _243996, _243994)), s_t(_243998, _243996, _243994)], (3734 ^ _89521) ^ [_223843, _223845, _223847, _223849] : [-(_223849 = _223847), s_col(_223849, _223847, _223845), -(s_col(_223849, _223847, _223843)), -(perp(_223849, _223847, erectsameside(_223849, _223847, _223845, _223843), _223845))], (1960 ^ _89521) ^ [_163146, _163148, _163150, _163152] : [-(_163152 = _163150), -(_163152 = _163148), s_t(_163150, _163152, _163148), sameside(_163146, _163152, _163148), -(s_col(_163146, _163152, _163150))], (4728 ^ _89521) ^ [_259035, _259037, _259039, _259041, _259043, _259045, _259047] : [samesideline(_259047, _259045, _259043, _259041), ss3(_259047, _259045, _259043, _259041) = ss1(_259047, _259045, _259043, _259041)], (4390 ^ _89521) ^ [_247305, _247307, _247309] : [sameside(_247309, _247307, _247305), _247305 = _247307], (4168 ^ _89521) ^ [_239152, _239154, _239156, _239158, _239160, _239162, _239164, _239166] : [s_t(_239166, _239164, _239162), s_t(_239158, _239156, _239154), s_e(_239166, _239164, _239158, _239156), s_e(_239164, _239162, _239156, _239154), s_e(_239166, _239160, _239158, _239152), s_e(_239164, _239160, _239156, _239152), -(s_afs(_239166, _239164, _239162, _239160, _239158, _239156, _239154, _239152))], (1906 ^ _89521) ^ [_161493, _161495, _161497] : [sameside(_161497, _161495, _161493), -(le(_161495, _161497, _161495, _161493)), s_t(_161495, _161497, _161493)], (2292 ^ _89521) ^ [_174878, _174880, _174882, _174884, _174886, _174888, _174890] : [s_kf(_174890, _174888, _174886, _174884, _174882, _174880, _174878), -(s_t(_174888, _174884, _174880))], (1400 ^ _89521) ^ [_143819, _143821, _143823, _143825, _143827] : [s_t(_143827, _143825, _143823), s_e(_143827, _143823, _143821, _143819), -(s_t(_143821, insert(_143827, _143825, _143821, _143819), _143819))], (3684 ^ _89521) ^ [_222149, _222151, _222153, _222155, _222157] : [s_r(_222157, _222155, _222153), s_r(_222151, _222155, _222149), s_e(_222157, _222155, _222151, _222155), s_e(_222155, _222153, _222155, _222149), -(s_e(_222157, _222153, _222151, _222149))], (2736 ^ _89521) ^ [_190178, _190180, _190182] : [-(_190182 = _190180), -(s_t(_190178, erectAux21a(_190182, _190180, _190178), erect21a(_190182, _190180, _190178))), -(s_col(_190182, _190180, _190178))], (3142 ^ _89521) ^ [_203651, _203653, _203655, _203657, _203659, _203661, _203663, _203665] : [opposite(_203665, _203663, _203661, _203659), -(_203663 = _203661), s_col(_203663, _203661, _203657), s_col(_203663, _203661, _203655), perp(_203663, _203661, _203665, _203655), perp(_203663, _203661, _203659, _203657), s_m(_203655, _203653, _203657), -(sameside(_203651, _203655, _203665)), le(_203657, _203659, _203655, _203665), -(_203655 = _203657), sameside(s(_203653, _203651), _203657, _203659)], (1150 ^ _89521) ^ [] : [s_t(alpha, beta, gamma)], (2726 ^ _89521) ^ [_189903, _189905, _189907] : [-(_189907 = _189905), -(s_col(_189907, _189905, erectAux21a(_189907, _189905, _189903))), -(s_col(_189907, _189905, _189903))], (1638 ^ _89521) ^ [_152546, _152548, _152550, _152552, _152554, _152556] : [le(_152556, _152554, _152552, _152550), le(_152552, _152550, _152548, _152546), -(le(_152556, _152554, _152548, _152546))], (3506 ^ _89521) ^ [_216093, _216095, _216097, _216099, _216101] : [-(_216101 = _216099), s_col(_216101, _216099, _216097), s_col(_216095, _216093, _216097), sameside(_216095, _216097, _216093), -(s_col(_216101, _216099, _216095)), -(samesideline(_216095, _216093, _216101, _216099))], (4710 ^ _89521) ^ [_258337, _258339, _258341, _258343, _258345, _258347, _258349] : [samesideline(_258349, _258347, _258345, _258343), -(s_t(_258347, ss2(_258349, _258347, _258345, _258343), ss3(_258349, _258347, _258345, _258343)))], (3308 ^ _89521) ^ [_209316, _209318, _209320, _209322, _209324] : [s_t(_209324, _209322, _209320), s_t(_209318, _209316, _209322), -(s_t(_209324, op(_209316, _209318, _209320, _209322, _209324), _209318))], (366 ^ _89521) ^ [_103950, _103952, _103954, _103956, _103958, _103960] : [-(s_t(_103958, _103954, _103950)), s_t(_103960, _103956, _103952), _103960 = _103958, _103956 = _103954, _103952 = _103950], (4344 ^ _89521) ^ [_245620, _245622, _245624, _245626, _245628, _245630, _245632, _245634] : [s_col(_245634, _245632, _245630), s_e3(_245634, _245632, _245630, _245626, _245624, _245622), s_e(_245634, _245628, _245626, _245620), s_e(_245632, _245628, _245624, _245620), -(s_fs(_245634, _245632, _245630, _245628, _245626, _245624, _245622, _245620))], (762 ^ _89521) ^ [_119142, _119144, _119146, _119148, _119150, _119152, _119154, _119156] : [-(erectsameside(_119156, _119152, _119148, _119144) = erectsameside(_119154, _119150, _119146, _119142)), _119156 = _119154, _119152 = _119150, _119148 = _119146, _119144 = _119142], (644 ^ _89521) ^ [_114573, _114575, _114577, _114579, _114581, _114583] : [-(erect(_114583, _114579, _114575) = erect(_114581, _114577, _114573)), _114583 = _114581, _114579 = _114577, _114575 = _114573], (1754 ^ _89521) ^ [_156408, _156410, _156412] : [sameside(_156412, _156410, _156408), _156412 = _156410], (4686 ^ _89521) ^ [_257313, _257315, _257317, _257319, _257321] : [opposite(_257317, _257321, _257319, _257315), -(s_col(_257321, _257319, il(_257317, _257315, _257321, _257319)))], (1732 ^ _89521) ^ [_155751, _155753, _155755, _155757] : [-(_155757 = _155755), -(_155753 = _155755), -(_155751 = _155755), s_t(_155757, _155755, _155751), -(s_t(_155753, _155755, _155751)), sameside(_155757, _155755, _155753)], (1580 ^ _89521) ^ [_150286, _150288, _150290, _150292] : [s_t(_150292, _150290, _150288), s_t(_150292, _150286, _150288), -(s_t(_150292, _150290, _150286)), -(s_t(_150292, _150286, _150290))], (2424 ^ _89521) ^ [_179734, _179736, _179738, _179740, _179742] : [perpAt(_179742, _179740, _179738, _179736, _179734), _179742 = _179740], (1812 ^ _89521) ^ [_158274, _158276, _158278] : [sameside(_158278, _158276, _158274), s_t(_158278, _158276, _158274)], (2874 ^ _89521) ^ [_194879, _194881, _194883, _194885] : [s_col(_194885, _194883, _194881), s_col(_194885, _194883, _194879), -(_194885 = _194883), -(s_col(_194885, _194881, _194879))], (724 ^ _89521) ^ [_117723, _117725, _117727, _117729, _117731, _117733] : [-(foot(_117733, _117729, _117725) = foot(_117731, _117727, _117723)), _117733 = _117731, _117729 = _117727, _117725 = _117723], (2402 ^ _89521) ^ [_178773, _178775, _178777, _178779, _178781, _178783] : [s_r(_178783, _178781, _178779), s_e3(_178783, _178781, _178779, _178777, _178775, _178773), -(s_r(_178777, _178775, _178773))], (3344 ^ _89521) ^ [_210662, _210664, _210666, _210668, _210670] : [-(_210670 = _210668), samesideline(_210666, _210664, _210670, _210668), samesideline(_210664, _210662, _210670, _210668), -(samesideline(_210666, _210662, _210670, _210668))], (3748 ^ _89521) ^ [_224233, _224235, _224237, _224239] : [-(_224239 = _224237), s_col(_224239, _224237, _224235), -(s_col(_224239, _224237, _224233)), -(samesideline(erectsameside(_224239, _224237, _224235, _224233), _224233, _224239, _224237))], (832 ^ _89521) ^ [_122053, _122055, _122057, _122059, _122061, _122063, _122065, _122067, _122069, _122071, _122073, _122075] : [-(f113c(_122075, _122071, _122067, _122063, _122059, _122055) = f113c(_122073, _122069, _122065, _122061, _122057, _122053)), _122075 = _122073, _122071 = _122069, _122067 = _122065, _122063 = _122061, _122059 = _122057, _122055 = _122053], (4492 ^ _89521) ^ [_250727, _250729, _250731, _250733, _250735, _250737, _250739] : [s_t(_250739, _250733, _250727), s_t(_250735, _250733, _250731), s_e(_250733, _250739, _250733, _250735), s_e(_250733, _250727, _250733, _250731), s_m(_250739, _250737, _250735), s_m(_250727, _250729, _250731), -(s_kf(_250739, _250737, _250735, _250733, _250731, _250729, _250727))], (204 ^ _89521) ^ [_97946, _97948, _97950, _97952, _97954, _97956] : [-(s_m(_97954, _97950, _97946)), s_m(_97956, _97952, _97948), _97956 = _97954, _97952 = _97950, _97948 = _97946], (424 ^ _89521) ^ [_106022, _106024, _106026, _106028, _106030, _106032, _106034, _106036, _106038, _106040, _106042, _106044] : [-(congruent(_106042, _106038, _106034, _106030, _106026, _106022)), congruent(_106044, _106040, _106036, _106032, _106028, _106024), _106044 = _106042, _106040 = _106038, _106036 = _106034, _106032 = _106030, _106028 = _106026, _106024 = _106022], (1226 ^ _89521) ^ [_137496, _137498, _137500, _137502] : [s_e(_137502, _137500, _137498, _137496), -(s_e(_137500, _137502, _137496, _137498))], (4716 ^ _89521) ^ [_258577, _258579, _258581, _258583, _258585, _258587, _258589] : [samesideline(_258589, _258587, _258585, _258583), _258589 = ss1(_258589, _258587, _258585, _258583)], (1324 ^ _89521) ^ [_141025, _141027, _141029, _141031] : [s_t(_141031, _141029, _141027), s_t(_141029, _141027, _141025), -(_141029 = _141027), -(s_t(_141031, _141029, _141025))], (2752 ^ _89521) ^ [_190748, _190750, _190752] : [-(_190752 = _190750), -(s_col(_190752, _190750, erectAux(_190752, _190750, _190748)))], (3534 ^ _89521) ^ [_216964, _216966, _216968] : [-(_216968 = _216966), -(_216964 = reflect(_216968, _216966, _216964)), -(perp(_216968, _216966, _216964, reflect(_216968, _216966, _216964)))], (1996 ^ _89521) ^ [_164250, _164252, _164254, _164256] : [-(_164256 = _164254), s_t(_164252, _164256, _164254), s_t(_164250, _164256, _164254), -(s_t(_164250, _164252, _164254)), -(s_t(_164252, _164250, _164254))], (1180 ^ _89521) ^ [_135782, _135784, _135786, _135788] : [s_e(_135788, _135786, _135784, _135782), -(s_e(_135788, _135786, _135782, _135784))], (3644 ^ _89521) ^ [_220865, _220867, _220869, _220871] : [s_r(_220871, _220869, _220867), s_r(_220865, _220869, _220867), s_e(_220871, _220869, _220865, _220869), -(s_e(_220871, _220867, _220865, _220867))], (2182 ^ _89521) ^ [_170574, _170576] : [s(_170576, _170574) = _170574, -(_170574 = _170576)], (3906 ^ _89521) ^ [_229920, _229922, _229924, _229926, _229928, _229930] : [-(_229930 = _229928), -(_229926 = _229928), -(_229924 = _229922), -(_229920 = _229922), -(sameside(f113c(_229930, _229928, _229926, _229924, _229922, _229920), _229928, _229926)), -(congruent(_229930, _229928, _229926, _229924, _229922, _229920))], (1054 ^ _89521) ^ [_130786, _130788, _130790, _130792, _130794, _130796, _130798, _130800] : [-(ss2(_130800, _130796, _130792, _130788) = ss2(_130798, _130794, _130790, _130786)), _130800 = _130798, _130796 = _130794, _130792 = _130790, _130788 = _130786], (4446 ^ _89521) ^ [_248972, _248974, _248976] : [s_t(_248976, _248974, _248972), s_e(_248974, _248976, _248974, _248972), -(s_m(_248976, _248974, _248972))], (4218 ^ _89521) ^ [_241063, _241065, _241067, _241069, _241071, _241073, _241075, _241077] : [s_ifs(_241077, _241075, _241073, _241071, _241069, _241067, _241065, _241063), -(s_e(_241077, _241071, _241069, _241063))], (96 ^ _89521) ^ [_93757, _93759, _93761, _93763, _93765, _93767, _93769, _93771, _93773, _93775, _93777, _93779] : [-(s_e3(_93777, _93773, _93769, _93765, _93761, _93757)), s_e3(_93779, _93775, _93771, _93767, _93763, _93759), _93779 = _93777, _93775 = _93773, _93771 = _93769, _93767 = _93765, _93763 = _93761, _93759 = _93757], (1232 ^ _89521) ^ [_137784, _137786, _137788, _137790, _137792, _137794] : [s_t(_137794, _137792, _137790), s_t(_137788, _137786, _137784), s_e(_137794, _137792, _137786, _137784), s_e(_137792, _137790, _137788, _137786), -(s_e(_137794, _137790, _137788, _137784))], (2350 ^ _89521) ^ [_176968, _176970, _176972] : [s_r(_176972, _176970, _176968), -(s_r(_176972, _176970, s(_176970, _176968)))], (2652 ^ _89521) ^ [_187373, _187375, _187377] : [-(s_col(_187377, _187375, _187373)), -(s_col(_187377, _187375, foot(_187377, _187375, _187373)))], (3628 ^ _89521) ^ [_220222, _220224, _220226, _220228] : [-(_220228 = _220226), s_col(_220228, _220226, _220224), -(s_e(_220224, _220222, reflect(_220228, _220226, _220224), reflect(_220228, _220226, _220222)))], (928 ^ _89521) ^ [_125935, _125937, _125939, _125941, _125943, _125945, _125947, _125949] : [-(insert(_125949, _125945, _125941, _125937) = insert(_125947, _125943, _125939, _125935)), _125949 = _125947, _125945 = _125943, _125941 = _125939, _125937 = _125935], (4722 ^ _89521) ^ [_258806, _258808, _258810, _258812, _258814, _258816, _258818] : [samesideline(_258818, _258816, _258814, _258812), _258816 = ss2(_258818, _258816, _258814, _258812)], (4456 ^ _89521) ^ [_249387, _249389, _249391, _249393, _249395, _249397, _249399] : [s_kf(_249399, _249397, _249395, _249393, _249391, _249389, _249387), -(s_t(_249399, _249393, _249387))], (4752 ^ _89521) ^ [_259953, _259955, _259957, _259959, _259961, _259963, _259965] : [samesideline(_259965, _259963, _259961, _259959), s_col(_259961, _259959, _259963)], (1460 ^ _89521) ^ [_146057, _146059] : [-(s_col(_146059, _146059, _146057))], (1828 ^ _89521) ^ [_158831, _158833] : [-(_158833 = _158831), -(sameside(_158833, _158831, _158833))], (2560 ^ _89521) ^ [_184591, _184593, _184595, _184597, _184599] : [-(_184599 = _184597), s_col(_184599, _184597, _184595), s_col(_184599, _184597, _184593), -(_184593 = _184595), s_col(_184599, _184597, _184591), perp(_184599, _184597, _184591, _184595)], (4480 ^ _89521) ^ [_250295, _250297, _250299, _250301, _250303, _250305, _250307] : [s_kf(_250307, _250305, _250303, _250301, _250299, _250297, _250295), -(s_m(_250307, _250305, _250303))], (4548 ^ _89521) ^ [_252765, _252767, _252769, _252771, _252773, _252775, _252777] : [perpAt(_252777, _252775, _252773, _252771, _252769), _252771 = _252769], (4674 ^ _89521) ^ [_256906, _256908, _256910, _256912, _256914] : [opposite(_256910, _256914, _256912, _256908), s_col(_256914, _256912, _256908)], (3832 ^ _89521) ^ [_227109, _227111, _227113, _227115, _227117, _227119] : [congruent(_227119, _227117, _227115, _227113, _227111, _227109), -(sameside(ext(_227117, _227119, _227111, _227113), _227117, _227119))], (2664 ^ _89521) ^ [_187815, _187817, _187819, _187821] : [s_r(_187821, _187819, _187817), s_m(s(_187821, _187817), _187815, s(_187819, _187817)), -(s_r(_187819, _187821, _187815))], (4338 ^ _89521) ^ [_245404, _245406, _245408, _245410, _245412, _245414, _245416, _245418] : [s_fs(_245418, _245416, _245414, _245412, _245410, _245408, _245406, _245404), -(s_e(_245416, _245412, _245408, _245404))], (2146 ^ _89521) ^ [_169159, _169161] : [-(s_m(_169161, _169159, s(_169159, _169161)))], (4230 ^ _89521) ^ [_241515, _241517, _241519, _241521, _241523, _241525, _241527, _241529] : [s_t(_241529, _241527, _241525), s_t(_241521, _241519, _241517), s_e(_241529, _241525, _241521, _241517), s_e(_241527, _241525, _241519, _241517), s_e(_241529, _241523, _241521, _241515), s_e(_241525, _241523, _241517, _241515), -(s_ifs(_241529, _241527, _241525, _241523, _241521, _241519, _241517, _241515))], (4746 ^ _89521) ^ [_259732, _259734, _259736, _259738, _259740, _259742, _259744] : [samesideline(_259744, _259742, _259740, _259738), s_col(_259740, _259738, _259744)], (1464 ^ _89521) ^ [_146318, _146320, _146322, _146324, _146326, _146328] : [s_col(_146328, _146326, _146324), s_e3(_146328, _146326, _146324, _146322, _146320, _146318), -(s_col(_146322, _146320, _146318))], (4474 ^ _89521) ^ [_250067, _250069, _250071, _250073, _250075, _250077, _250079] : [s_kf(_250079, _250077, _250075, _250073, _250071, _250069, _250067), -(s_e(_250073, _250067, _250073, _250071))], (1544 ^ _89521) ^ [_149176, _149178, _149180, _149182] : [-(_149182 = _149180), s_t(_149182, _149180, _149178), s_t(_149182, _149180, _149176), -(s_t(_149182, _149178, _149176)), -(s_t(_149182, _149176, _149178))], (4758 ^ _89521) ^ [_260154, _260156, _260158, _260160, _260162, _260164, _260166] : [s_t(_260166, _260158, _260156), s_t(_260164, _260154, _260156), s_col(_260162, _260160, _260158), s_col(_260162, _260160, _260154), -(_260162 = _260160), -(_260156 = _260158), -(_260156 = _260154), -(_260166 = _260158), -(_260164 = _260154), -(s_col(_260162, _260160, _260166)), -(s_col(_260162, _260160, _260164)), -(samesideline(_260166, _260164, _260162, _260160))], (1760 ^ _89521) ^ [_156601, _156603, _156605] : [sameside(_156605, _156603, _156601), _156601 = _156603], (2448 ^ _89521) ^ [_180572, _180574, _180576, _180578, _180580] : [perpAt(_180580, _180578, _180576, _180574, _180572), -(s_col(_180580, _180578, f813(_180580, _180578, _180574, _180572, _180576)))], (4 ^ _89521) ^ [_89752, _89754] : [_89754 = _89752, -(_89752 = _89754)], (1206 ^ _89521) ^ [_136781, _136783, _136785, _136787, _136789] : [-(_136789 = _136787), s_t(_136789, _136787, _136785), s_e(_136787, _136785, _136783, _136781), -(_136785 = ext(_136789, _136787, _136783, _136781))], (1124 ^ _89521) ^ [_133635, _133637] : [s_t(_133637, _133635, _133637), -(_133637 = _133635)], (402 ^ _89521) ^ [_105196, _105198, _105200, _105202, _105204, _105206, _105208, _105210] : [-(samesideline(_105208, _105204, _105200, _105196)), samesideline(_105210, _105206, _105202, _105198), _105210 = _105208, _105206 = _105204, _105202 = _105200, _105198 = _105196], (1636 ^ _89521) ^ [_152379, _152381] : [-(le(_152381, _152379, _152381, _152379))], (1164 ^ _89521) ^ [_135139, _135141, _135143, _135145, _135147, _135149] : [s_e(_135149, _135147, _135145, _135143), s_e(_135145, _135143, _135141, _135139), -(s_e(_135149, _135147, _135141, _135139))], (534 ^ _89521) ^ [_110366, _110368, _110370, _110372] : [-(pointOffLine(_110372, _110368) = pointOffLine(_110370, _110366)), _110372 = _110370, _110368 = _110366], (4268 ^ _89521) ^ [_242898, _242900, _242902, _242904, _242906, _242908] : [s_e3(_242908, _242906, _242904, _242902, _242900, _242898), -(s_e(_242906, _242904, _242900, _242898))], (4194 ^ _89521) ^ [_240123, _240125, _240127, _240129, _240131, _240133, _240135, _240137] : [s_ifs(_240137, _240135, _240133, _240131, _240129, _240127, _240125, _240123), -(s_t(_240137, _240135, _240133))], (2516 ^ _89521) ^ [_182956, _182958, _182960, _182962] : [perp(_182962, _182960, _182958, _182956), s_col(_182962, _182960, _182958), s_col(_182962, _182960, _182956)], (1280 ^ _89521) ^ [_139499, _139501, _139503, _139505] : [s_t(_139505, _139503, _139501), s_t(_139505, _139501, _139499), -(s_t(_139503, _139501, _139499))], (4212 ^ _89521) ^ [_240827, _240829, _240831, _240833, _240835, _240837, _240839, _240841] : [s_ifs(_240841, _240839, _240837, _240835, _240833, _240831, _240829, _240827), -(s_e(_240839, _240837, _240831, _240829))], (1870 ^ _89521) ^ [_160363, _160365, _160367, _160369, _160371, _160373] : [-(_160373 = _160371), -(_160369 = _160367), sameside(_160365, _160371, _160373), s_e(_160371, _160365, _160369, _160367), sameside(_160363, _160371, _160373), s_e(_160371, _160363, _160369, _160367), -(_160365 = _160363)], (1258 ^ _89521) ^ [_138673, _138675] : [-(s_t(_138675, _138675, _138673))], (3582 ^ _89521) ^ [_218557, _218559, _218561] : [-(_218561 = _218559), -(reflect(_218561, _218559, reflect(_218561, _218559, _218557)) = _218557)], (1664 ^ _89521) ^ [_153522, _153524, _153526] : [-(le(_153526, _153526, _153524, _153522))], (1494 ^ _89521) ^ [_147578, _147580, _147582, _147584, _147586] : [-(_147586 = _147584), s_col(_147586, _147584, _147582), s_e(_147586, _147580, _147586, _147578), s_e(_147584, _147580, _147584, _147578), -(s_e(_147582, _147580, _147582, _147578))], (454 ^ _89521) ^ [_107312, _107314, _107316, _107318, _107320, _107322, _107324, _107326, _107328, _107330, _107332, _107334] : [-(crossbar(_107334, _107330, _107326, _107322, _107318, _107314) = crossbar(_107332, _107328, _107324, _107320, _107316, _107312)), _107334 = _107332, _107330 = _107328, _107326 = _107324, _107322 = _107320, _107318 = _107316, _107314 = _107312], (3844 ^ _89521) ^ [_227565, _227567, _227569, _227571, _227573, _227575] : [congruent(_227575, _227573, _227571, _227569, _227567, _227565), -(sameside(ext(_227567, _227569, _227573, _227575), _227567, _227569))], (4524 ^ _89521) ^ [_251778, _251780, _251782] : [-(s_r(_251782, _251780, _251778)), s_e(_251782, _251778, _251782, s(_251780, _251778))], (3184 ^ _89521) ^ [_205048, _205050, _205052, _205054, _205056, _205058, _205060, _205062] : [opposite(_205062, _205060, _205058, _205056), -(_205060 = _205058), s_col(_205060, _205058, _205054), s_col(_205060, _205058, _205052), perp(_205060, _205058, _205062, _205052), perp(_205060, _205058, _205056, _205054), s_m(_205052, _205050, _205054), sameside(_205048, _205052, _205062), _205052 = _205054, -(sameside(s(_205050, _205048), _205054, _205056))], (4224 ^ _89521) ^ [_241299, _241301, _241303, _241305, _241307, _241309, _241311, _241313] : [s_ifs(_241313, _241311, _241309, _241307, _241305, _241303, _241301, _241299), -(s_e(_241309, _241307, _241301, _241299))], (4420 ^ _89521) ^ [_248150, _248152, _248154] : [s_t(_248152, _248150, _248154), -(_248154 = _248152), -(_248150 = _248152), -(sameside(_248154, _248152, _248150))], (2990 ^ _89521) ^ [] : [s_col(xa, xb, xp), s_col(xa, xb, xq), -(xp = xq), -(xa = xb), -(perp(xc, xd, xp, xq)), perp(xc, xd, xa, xb)], (806 ^ _89521) ^ [_120970, _120972, _120974, _120976, _120978, _120980, _120982, _120984, _120986, _120988, _120990, _120992] : [-(f113a(_120992, _120988, _120984, _120980, _120976, _120972) = f113a(_120990, _120986, _120982, _120978, _120974, _120970)), _120992 = _120990, _120988 = _120986, _120984 = _120982, _120980 = _120978, _120976 = _120974, _120972 = _120970], (2546 ^ _89521) ^ [_184096, _184098, _184100, _184102] : [-(_184102 = _184100), s_col(_184102, _184100, _184098), perp(_184102, _184100, _184096, _184098), -(perpAt(_184102, _184100, _184098, _184096, _184098))]], input).
% 51.67/51.00  ncf('1',plain,[congruent(4803 ^ [], 4804 ^ [], 4805 ^ [], 4803 ^ [], 4804 ^ [], 4805 ^ [])],start(4811 ^ 0)).
% 51.67/51.00  ncf('1.1',plain,[-(congruent(4803 ^ [], 4804 ^ [], 4805 ^ [], 4803 ^ [], 4804 ^ [], 4805 ^ [])), sameside(insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4803 ^ []), 4804 ^ [], 4803 ^ []), sameside(insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4805 ^ []), 4804 ^ [], 4805 ^ []), sameside(insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4803 ^ []), 4804 ^ [], 4803 ^ []), sameside(insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4805 ^ []), 4804 ^ [], 4805 ^ []), s_e3(insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4803 ^ []), 4804 ^ [], insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4805 ^ []), insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4803 ^ []), 4804 ^ [], insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4805 ^ []))],extension(3862 ^ 1,bind([[_228413, _228415, _228417, _228419, _228421, _228423, _228425, _228427, _228429, _228431], [4805 ^ [], insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4805 ^ []), 4803 ^ [], 4804 ^ [], insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4803 ^ []), 4805 ^ [], insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4805 ^ []), 4803 ^ [], 4804 ^ [], insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4803 ^ [])]]))).
% 51.67/51.00  ncf('1.1.1',plain,[-(sameside(insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4803 ^ []), 4804 ^ [], 4803 ^ [])), -(4803 ^ [] = 4804 ^ []), -(4805 ^ [] = 4804 ^ [])],extension(1850 ^ 2,bind([[_159685, _159687, _159689, _159691], [4804 ^ [], 4805 ^ [], 4804 ^ [], 4803 ^ []]]))).
% 51.67/51.00  ncf('1.1.1.1',plain,[4803 ^ [] = 4804 ^ []],extension(4807 ^ 3)).
% 51.67/51.00  ncf('1.1.1.2',plain,[4805 ^ [] = 4804 ^ []],extension(4809 ^ 3)).
% 51.67/51.00  ncf('1.1.2',plain,[-(sameside(insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4805 ^ []), 4804 ^ [], 4805 ^ [])), -(4805 ^ [] = 4804 ^ []), -(4805 ^ [] = 4804 ^ [])],extension(1850 ^ 2,bind([[_159685, _159687, _159689, _159691], [4804 ^ [], 4805 ^ [], 4804 ^ [], 4805 ^ []]]))).
% 51.67/51.00  ncf('1.1.2.1',plain,[4805 ^ [] = 4804 ^ []],extension(4809 ^ 3)).
% 51.67/51.00  ncf('1.1.2.2',plain,[4805 ^ [] = 4804 ^ []],extension(4809 ^ 3)).
% 51.67/51.00  ncf('1.1.3',plain,[-(sameside(insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4803 ^ []), 4804 ^ [], 4803 ^ [])), -(4803 ^ [] = 4804 ^ []), -(4805 ^ [] = 4804 ^ [])],extension(1850 ^ 2,bind([[_159685, _159687, _159689, _159691], [4804 ^ [], 4805 ^ [], 4804 ^ [], 4803 ^ []]]))).
% 51.67/51.00  ncf('1.1.3.1',plain,[4803 ^ [] = 4804 ^ []],extension(4807 ^ 3)).
% 51.67/51.00  ncf('1.1.3.2',plain,[4805 ^ [] = 4804 ^ []],extension(4809 ^ 3)).
% 51.67/51.00  ncf('1.1.4',plain,[-(sameside(insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4805 ^ []), 4804 ^ [], 4805 ^ [])), -(4805 ^ [] = 4804 ^ []), -(4805 ^ [] = 4804 ^ [])],extension(1850 ^ 2,bind([[_159685, _159687, _159689, _159691], [4804 ^ [], 4805 ^ [], 4804 ^ [], 4805 ^ []]]))).
% 51.67/51.00  ncf('1.1.4.1',plain,[4805 ^ [] = 4804 ^ []],extension(4809 ^ 3)).
% 51.67/51.00  ncf('1.1.4.2',plain,[4805 ^ [] = 4804 ^ []],extension(4809 ^ 3)).
% 51.67/51.00  ncf('1.1.5',plain,[-(s_e3(insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4803 ^ []), 4804 ^ [], insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4805 ^ []), insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4803 ^ []), 4804 ^ [], insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4805 ^ []))), s_e(insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4803 ^ []), 4804 ^ [], insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4803 ^ []), 4804 ^ []), s_e(insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4803 ^ []), insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4805 ^ []), insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4803 ^ []), insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4805 ^ [])), s_e(4804 ^ [], insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4805 ^ []), 4804 ^ [], insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4805 ^ []))],extension(4274 ^ 2,bind([[_243098, _243100, _243102, _243104, _243106, _243108], [insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4805 ^ []), 4804 ^ [], insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4803 ^ []), insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4805 ^ []), 4804 ^ [], insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4803 ^ [])]]))).
% 51.67/51.00  ncf('1.1.5.1',plain,[-(s_e(insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4803 ^ []), 4804 ^ [], insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4803 ^ []), 4804 ^ []))],extension(1156 ^ 3,bind([[_134712, _134714], [4804 ^ [], insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4803 ^ [])]]))).
% 51.67/51.00  ncf('1.1.5.2',plain,[-(s_e(insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4803 ^ []), insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4805 ^ []), insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4803 ^ []), insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4805 ^ [])))],extension(1156 ^ 3,bind([[_134712, _134714], [insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4805 ^ []), insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4803 ^ [])]]))).
% 51.67/51.00  ncf('1.1.5.3',plain,[-(s_e(4804 ^ [], insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4805 ^ []), 4804 ^ [], insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4805 ^ [])))],extension(1156 ^ 3,bind([[_134712, _134714], [insert(4805 ^ [], 4804 ^ [], 4804 ^ [], 4805 ^ []), 4804 ^ []]]))).
% 51.67/51.00  %-----------------------------------------------------
% 51.67/51.00  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------