TSTP Solution File: GEO271+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO271+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n028.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 11:12:24 EDT 2023

% Result   : Theorem 43.56s 42.80s
% Output   : Proof 43.56s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : GEO271+1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri May 19 04:21:48 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 43.56/42.80  
% 43.56/42.80  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 43.56/42.80  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.56/42.80  %-----------------------------------------------------
% 43.56/42.80  ncf(matrix, plain, [(4553 ^ _356274) ^ [] : [-(rcenter(vd1055, 4549 ^ []))], (4555 ^ _356274) ^ [] : [-(rcircle(4549 ^ []))], (4557 ^ _356274) ^ [] : [4549 ^ [] = vd1061], (4551 ^ _356274) ^ [] : [-(ron(vd1057, 4549 ^ []))], !, (4436 ^ _197713) ^ [_351097, _351099, _351101] : [4460 ^ _197713 : [(4463 ^ _197713) ^ [] : [4459 ^ [_351097, _351099, _351101] = _351099], (4465 ^ _197713) ^ [] : [4459 ^ [_351097, _351099, _351101] = _351101], (4467 ^ _197713) ^ [] : [-(rpoint(4459 ^ [_351097, _351099, _351101]))], (4461 ^ _197713) ^ [] : [4459 ^ [_351097, _351099, _351101] = _351097]], 4439 ^ _197713 : [(4440 ^ _197713) ^ [_351286] : [_351097 = _351286, rpoint(_351286)]], 4447 ^ _197713 : [(4448 ^ _197713) ^ [_351513] : [_351099 = _351513, rpoint(_351513)]], 4453 ^ _197713 : [(4454 ^ _197713) ^ [_351704] : [_351101 = _351704, rpoint(_351704)]]], (266 ^ _197713) ^ [] : [-(ron(vd1057, vd1061))], (272 ^ _197713) ^ [] : [-(vd1057 = vd1058)], (4505 ^ _197713) ^ [] : [-(rpoint(vd14))], (3632 ^ _197713) ^ [_323304, _323306, _323308, _323310] : [3653 ^ _197713 : [(3658 ^ _197713) ^ [] : [-(ron(3652 ^ [_323304, _323306, _323308, _323310], _323306))], (3664 ^ _197713) ^ [] : [-(ron(3651 ^ [_323304, _323306, _323308, _323310], _323306))], (3666 ^ _197713) ^ [] : [-(rpoint(3651 ^ [_323304, _323306, _323308, _323310]))], (3660 ^ _197713) ^ [] : [-(rpoint(3652 ^ [_323304, _323306, _323308, _323310]))], (3654 ^ _197713) ^ [] : [3651 ^ [_323304, _323306, _323308, _323310] = 3652 ^ [_323304, _323306, _323308, _323310]], (3656 ^ _197713) ^ [] : [-(ron(3652 ^ [_323304, _323306, _323308, _323310], _323310))], (3662 ^ _197713) ^ [] : [-(ron(3651 ^ [_323304, _323306, _323308, _323310], _323310))]], rintersect(_323306, _323310), _323306 = _323304, rline(_323304), _323310 = _323308, rcircle(_323308)], (2175 ^ _197713) ^ [_275007, _275009, _275011, _275013, _275015, _275017, _275019] : [-(rR(_275019, _275017, _275015)), -(_275017 = _275015), ron(_275015, _275009), ron(_275017, _275009), rinside(_275019, _275009), ron(_275015, _275013), ron(_275017, _275013), ron(_275019, _275013), _275009 = _275007, rcircle(_275007), _275013 = _275011, rline(_275011), 2222 ^ _197713 : [(2223 ^ _197713) ^ [_276339] : [_275015 = _276339, rpoint(_276339)]], 2230 ^ _197713 : [(2231 ^ _197713) ^ [_276606] : [_275017 = _276606, rpoint(_276606)]], 2236 ^ _197713 : [(2237 ^ _197713) ^ [_276829] : [_275019 = _276829, rpoint(_276829)]]], (4380 ^ _197713) ^ [_349000, _349002] : [4388 ^ _197713 : [(4391 ^ _197713) ^ [] : [-(rpoint(4387 ^ [_349000, _349002]))], (4389 ^ _197713) ^ [] : [-(ron(4387 ^ [_349000, _349002], _349002))]], _349002 = _349000, rline(_349000)], (4469 ^ _197713) ^ [_352307, _352309] : [4485 ^ _197713 : [(4490 ^ _197713) ^ [] : [-(rpoint(4484 ^ [_352307, _352309]))], (4488 ^ _197713) ^ [] : [4484 ^ [_352307, _352309] = _352309], (4486 ^ _197713) ^ [] : [4484 ^ [_352307, _352309] = _352307]], 4472 ^ _197713 : [(4473 ^ _197713) ^ [_352468] : [_352307 = _352468, rpoint(_352468)]], 4478 ^ _197713 : [(4479 ^ _197713) ^ [_352651] : [_352309 = _352651, rpoint(_352651)]]], (1438 ^ _197713) ^ [_251288, _251290] : [-(vf(_251290, _251288) = vf(_251288, _251290)), 1441 ^ _197713 : [(1442 ^ _197713) ^ [_251435] : [_251288 = _251435, rpoint(_251435)]], 1447 ^ _197713 : [(1448 ^ _197713) ^ [_251618] : [_251290 = _251618, rpoint(_251618)]]], (204 ^ _197713) ^ [_204330, _204332, _204334, _204336, _204338, _204340] : [-(vg(_204340, _204336, _204332) = vg(_204338, _204334, _204330)), _204340 = _204338, _204336 = _204334, _204332 = _204330], (1734 ^ _197713) ^ [_260545, _260547, _260549, _260551] : [1750 ^ _197713 : [(1753 ^ _197713) ^ [] : [-(rreal(1749 ^ [_260545, _260547, _260549, _260551]))], (1751 ^ _197713) ^ [] : [-(vplus(_260551, _260547) = 1749 ^ [_260545, _260547, _260549, _260551])]], _260547 = _260545, rreal(_260545), _260551 = _260549, rreal(_260549)], (4167 ^ _197713) ^ [_341808, _341810, _341812, _341814, _341816] : [4211 ^ _197713 : [(4216 ^ _197713) ^ [] : [-(rpoint(4210 ^ [_341808, _341810, _341812, _341814, _341816]))], (4214 ^ _197713) ^ [] : [-(rR(4210 ^ [_341808, _341810, _341812, _341814, _341816], _341812, _341810))], (4212 ^ _197713) ^ [] : [4210 ^ [_341808, _341810, _341812, _341814, _341816] = _341808]], rR(_341808, _341812, _341810), ron(_341810, _341816), ron(_341812, _341816), 4182 ^ _197713 : [(4183 ^ _197713) ^ [_342300] : [_341808 = _342300, rpoint(_342300)]], 4190 ^ _197713 : [(4191 ^ _197713) ^ [_342547] : [_341810 = _342547, rpoint(_342547)]], 4198 ^ _197713 : [(4199 ^ _197713) ^ [_342794] : [_341812 = _342794, rpoint(_342794)]], _341816 = _341814, rline(_341814)], (20 ^ _197713) ^ [_198489, _198491, _198493, _198495] : [-(rgeq(_198493, _198489)), rgeq(_198495, _198491), _198495 = _198493, _198491 = _198489], (648 ^ _197713) ^ [_224934, _224936, _224938, _224940, _224942, _224944, _224946, _224948] : [747 ^ _197713 : [(748 ^ _197713) ^ [] : [-(rS(_224940, _224948, _224936)), ron(_224940, _224936), ron(_224940, _224938)], (758 ^ _197713) ^ [] : [-(rintersect(_224938, _224936))]], rless(vplus(vangle(_224948, _224946, _224944), vangle(_224946, _224944, _224942)), vplus(vperp, vperp)), rS(_224948, _224942, _224936), -(_224946 = _224944), ron(_224942, _224934), ron(_224944, _224934), ron(_224944, _224936), ron(_224946, _224936), ron(_224946, _224938), ron(_224948, _224938), 687 ^ _197713 : [(688 ^ _197713) ^ [_226222] : [_224934 = _226222, rline(_226222)]], 695 ^ _197713 : [(696 ^ _197713) ^ [_226499] : [_224936 = _226499, rline(_226499)]], 703 ^ _197713 : [(704 ^ _197713) ^ [_226776] : [_224938 = _226776, rline(_226776)]], 711 ^ _197713 : [(712 ^ _197713) ^ [_227053] : [_224940 = _227053, rpoint(_227053)]], 719 ^ _197713 : [(720 ^ _197713) ^ [_227330] : [_224942 = _227330, rpoint(_227330)]], 727 ^ _197713 : [(728 ^ _197713) ^ [_227607] : [_224944 = _227607, rpoint(_227607)]], 735 ^ _197713 : [(736 ^ _197713) ^ [_227884] : [_224946 = _227884, rpoint(_227884)]], 741 ^ _197713 : [(742 ^ _197713) ^ [_228115] : [_224948 = _228115, rpoint(_228115)]]], (3451 ^ _197713) ^ [_316890, _316892] : [3472 ^ _197713 : [(3477 ^ _197713) ^ [] : [-(ron(3471 ^ [_316890, _316892], _316892))], (3483 ^ _197713) ^ [] : [-(ron(3470 ^ [_316890, _316892], _316892))], (3485 ^ _197713) ^ [] : [-(rpoint(3470 ^ [_316890, _316892]))], (3479 ^ _197713) ^ [] : [-(rpoint(3471 ^ [_316890, _316892]))], (3473 ^ _197713) ^ [] : [3470 ^ [_316890, _316892] = 3471 ^ [_316890, _316892]], (3475 ^ _197713) ^ [] : [-(ron(3471 ^ [_316890, _316892], _316890))], (3481 ^ _197713) ^ [] : [-(ron(3470 ^ [_316890, _316892], _316890))]], rintersect(_316892, _316890), 3458 ^ _197713 : [(3459 ^ _197713) ^ [_317162] : [_316890 = _317162, rcircle(_317162)]], 3464 ^ _197713 : [(3465 ^ _197713) ^ [_317345] : [_316892 = _317345, rcircle(_317345)]]], (180 ^ _197713) ^ [_203551, _203553, _203555, _203557] : [-(rcenter(_203555, _203551)), rcenter(_203557, _203553), _203557 = _203555, _203553 = _203551], (62 ^ _197713) ^ [_199793, _199795] : [-(rreal(_199793)), _199795 = _199793, rreal(_199795)], (274 ^ _197713) ^ [] : [vd1055 = vd1057], (10 ^ _197713) ^ [_198148, _198150, _198152] : [-(_198152 = _198148), _198152 = _198150, _198150 = _198148], (3883 ^ _197713) ^ [_332007, _332009, _332011, _332013, _332015, _332017, _332019, _332021] : [3927 ^ _197713 : [(3928 ^ _197713) ^ [] : [3926 ^ [_332007, _332009, _332011, _332013, _332015, _332017, _332019, _332021] = _332009], (3932 ^ _197713) ^ [] : [3926 ^ [_332007, _332009, _332011, _332013, _332015, _332017, _332019, _332021] = _332017], (3936 ^ _197713) ^ [] : [-(rpoint(3926 ^ [_332007, _332009, _332011, _332013, _332015, _332017, _332019, _332021]))], (3934 ^ _197713) ^ [] : [-(rS(3926 ^ [_332007, _332009, _332011, _332013, _332015, _332017, _332019, _332021], _332017, _332021))], (3930 ^ _197713) ^ [] : [3926 ^ [_332007, _332009, _332011, _332013, _332015, _332017, _332019, _332021] = _332013]], _332017 = _332015, _332013 = _332011, _332009 = _332007, rS(_332009, _332017, _332021), rpoint(_332007), rS(_332013, _332017, _332021), rpoint(_332011), -(ron(_332017, _332021)), rpoint(_332015), _332021 = _332019, rline(_332019)], (1358 ^ _197713) ^ [_248620, _248622] : [-(vg(_248622, _248622, _248620) = v0), 1361 ^ _197713 : [(1362 ^ _197713) ^ [_248765] : [_248620 = _248765, rpoint(_248765)]], 1367 ^ _197713 : [(1368 ^ _197713) ^ [_248948] : [_248622 = _248948, rpoint(_248948)]]], (72 ^ _197713) ^ [_200116, _200118, _200120, _200122] : [-(rintersect(_200120, _200116)), rintersect(_200122, _200118), _200122 = _200120, _200118 = _200116], (1523 ^ _197713) ^ [_254162, _254164, _254166, _254168, _254170, _254172] : [-(_254172 = _254168), vplus(_254172, _254164) = vplus(_254168, _254164), _254164 = _254162, rreal(_254162), _254168 = _254166, rreal(_254166), _254172 = _254170, rreal(_254170)], (2739 ^ _197713) ^ [_293786, _293788, _293790, _293792, _293794] : [-(rS(_293794, _293790, _293788)), -(rS(_293792, _293790, _293788)), -(rS(_293794, _293792, _293788)), -(ron(_293790, _293788)), -(ron(_293792, _293788)), -(ron(_293794, _293788)), _293788 = _293786, rline(_293786), 2766 ^ _197713 : [(2767 ^ _197713) ^ [_294557] : [_293790 = _294557, rpoint(_294557)]], 2774 ^ _197713 : [(2775 ^ _197713) ^ [_294804] : [_293792 = _294804, rpoint(_294804)]], 2780 ^ _197713 : [(2781 ^ _197713) ^ [_295011] : [_293794 = _295011, rpoint(_295011)]]], (4393 ^ _197713) ^ [_349467, _349469, _349471, _349473] : [4425 ^ _197713 : [(4426 ^ _197713) ^ [] : [4424 ^ [_349467, _349469, _349471, _349473] = _349467], (4430 ^ _197713) ^ [] : [4424 ^ [_349467, _349469, _349471, _349473] = _349471], (4434 ^ _197713) ^ [] : [-(rpoint(4424 ^ [_349467, _349469, _349471, _349473]))], (4432 ^ _197713) ^ [] : [4424 ^ [_349467, _349469, _349471, _349473] = _349473], (4428 ^ _197713) ^ [] : [4424 ^ [_349467, _349469, _349471, _349473] = _349469]], 4396 ^ _197713 : [(4397 ^ _197713) ^ [_349684] : [_349467 = _349684, rpoint(_349684)]], 4404 ^ _197713 : [(4405 ^ _197713) ^ [_349921] : [_349469 = _349921, rpoint(_349921)]], 4412 ^ _197713 : [(4413 ^ _197713) ^ [_350158] : [_349471 = _350158, rpoint(_350158)]], 4418 ^ _197713 : [(4419 ^ _197713) ^ [_350357] : [_349473 = _350357, rpoint(_350357)]]], (1724 ^ _197713) ^ [_260214, _260216] : [-(vplus(_260216, v0) = _260216), _260216 = _260214, rreal(_260214)], (619 ^ _197713) ^ [_223819, _223821, _223823] : [643 ^ _197713 : [(646 ^ _197713) ^ [] : [-(rreal(642 ^ [_223819, _223821, _223823]))], (644 ^ _197713) ^ [] : [-(vg(_223823, _223821, _223819) = 642 ^ [_223819, _223821, _223823])]], 622 ^ _197713 : [(623 ^ _197713) ^ [_223994] : [_223819 = _223994, rpoint(_223994)]], 630 ^ _197713 : [(631 ^ _197713) ^ [_224221] : [_223821 = _224221, rpoint(_224221)]], 636 ^ _197713 : [(637 ^ _197713) ^ [_224412] : [_223823 = _224412, rpoint(_224412)]]], (3668 ^ _197713) ^ [_324729, _324731, _324733, _324735] : [3688 ^ _197713 : [(3693 ^ _197713) ^ [] : [-(rpoint(3687 ^ [_324729, _324731, _324733, _324735]))], (3691 ^ _197713) ^ [] : [-(ron(3687 ^ [_324729, _324731, _324733, _324735], _324731))], (3689 ^ _197713) ^ [] : [-(ron(3687 ^ [_324729, _324731, _324733, _324735], _324735))]], rintersect(_324731, _324735), _324731 = _324729, rline(_324729), _324735 = _324733, rcircle(_324733)], (86 ^ _197713) ^ [_200560, _200562, _200564, _200566] : [-(rinside(_200564, _200560)), rinside(_200566, _200562), _200566 = _200564, _200562 = _200560], (1935 ^ _197713) ^ [_266993, _266995, _266997, _266999, _267001, _267003] : [-(rintersect(_266999, _266995)), _266999 = _266997, _266995 = _266993, ron(_267001, _266995), ron(_267003, _266995), rline(_266993), -(rS(_267003, _267001, _266999)), rline(_266997), 1966 ^ _197713 : [(1967 ^ _197713) ^ [_267858] : [_267001 = _267858, rpoint(_267858)]], 1972 ^ _197713 : [(1973 ^ _197713) ^ [_268073] : [_267003 = _268073, rpoint(_268073)]]], (100 ^ _197713) ^ [_201032, _201034, _201036, _201038, _201040, _201042] : [-(rS(_201040, _201036, _201032)), rS(_201042, _201038, _201034), _201042 = _201040, _201038 = _201036, _201034 = _201032], (3109 ^ _197713) ^ [_305586, _305588, _305590, _305592, _305594] : [-(ron(_305592, _305588)), _305588 = _305586, ron(_305590, _305588), ron(_305594, _305588), rR(_305592, _305594, _305590), rline(_305586), 3132 ^ _197713 : [(3133 ^ _197713) ^ [_306240] : [_305590 = _306240, rpoint(_306240)]], 3140 ^ _197713 : [(3141 ^ _197713) ^ [_306487] : [_305592 = _306487, rpoint(_306487)]], 3146 ^ _197713 : [(3147 ^ _197713) ^ [_306694] : [_305594 = _306694, rpoint(_306694)]]], (3979 ^ _197713) ^ [_335378, _335380, _335382, _335384] : [3999 ^ _197713 : [(4004 ^ _197713) ^ [] : [-(rpoint(3998 ^ [_335378, _335380, _335382, _335384]))], (4002 ^ _197713) ^ [] : [-(rS(3998 ^ [_335378, _335380, _335382, _335384], _335380, _335384))], (4000 ^ _197713) ^ [] : [3998 ^ [_335378, _335380, _335382, _335384] = _335380]], _335380 = _335378, -(ron(_335380, _335384)), rpoint(_335378), _335384 = _335382, rline(_335382)], (2067 ^ _197713) ^ [_271341, _271343, _271345, _271347, _271349] : [2112 ^ _197713 : [(2115 ^ _197713) ^ [] : [ron(_271347, _271343)], (2113 ^ _197713) ^ [] : [ron(_271347, _271343)]], rR(_271345, _271349, _271347), -(rinside(_271345, _271343)), 2078 ^ _197713 : [(2081 ^ _197713) ^ [] : [rinside(_271349, _271343)], (2079 ^ _197713) ^ [] : [ron(_271349, _271343)]], _271343 = _271341, rcircle(_271341), 2092 ^ _197713 : [(2093 ^ _197713) ^ [_272087] : [_271345 = _272087, rpoint(_272087)]], 2100 ^ _197713 : [(2101 ^ _197713) ^ [_272334] : [_271347 = _272334, rpoint(_272334)]], 2106 ^ _197713 : [(2107 ^ _197713) ^ [_272541] : [_271349 = _272541, rpoint(_272541)]]], (1126 ^ _197713) ^ [_240945, _240947, _240949, _240951, _240953, _240955] : [1149 ^ _197713 : [(1156 ^ _197713) ^ [] : [ron(_240955, _240949), -(vf(_240951, _240955) = vf(_240951, _240947))], (1150 ^ _197713) ^ [] : [vf(_240951, _240955) = vf(_240951, _240947), -(ron(_240955, _240949))]], ron(_240947, _240949), _240947 = _240945, rpoint(_240945), rcenter(_240951, _240949), _240955 = _240953, rpoint(_240953)], (268 ^ _197713) ^ [] : [-(rcenter(vd1055, vd1061))], (2441 ^ _197713) ^ [_284037, _284039, _284041, _284043, _284045, _284047, _284049] : [rS(_284041, _284037, _284047), rS(_284041, _284039, _284045), rS(_284039, _284037, _284049), ron(_284037, _284045), ron(_284039, _284045), ron(_284041, _284049), ron(_284043, _284045), ron(_284043, _284047), ron(_284043, _284049), 2476 ^ _197713 : [(2477 ^ _197713) ^ [_285125] : [_284037 = _285125, rpoint(_285125)]], 2484 ^ _197713 : [(2485 ^ _197713) ^ [_285392] : [_284039 = _285392, rpoint(_285392)]], 2492 ^ _197713 : [(2493 ^ _197713) ^ [_285659] : [_284041 = _285659, rpoint(_285659)]], 2500 ^ _197713 : [(2501 ^ _197713) ^ [_285926] : [_284043 = _285926, rpoint(_285926)]], 2508 ^ _197713 : [(2509 ^ _197713) ^ [_286193] : [_284045 = _286193, rline(_286193)]], 2516 ^ _197713 : [(2517 ^ _197713) ^ [_286460] : [_284047 = _286460, rline(_286460)]], 2522 ^ _197713 : [(2523 ^ _197713) ^ [_286683] : [_284049 = _286683, rline(_286683)]]], (3067 ^ _197713) ^ [_304187, _304189, _304191, _304193] : [-(rR(_304187, _304193, _304189)), rR(_304187, _304193, _304191), rR(_304191, _304193, _304189), 3078 ^ _197713 : [(3079 ^ _197713) ^ [_304559] : [_304187 = _304559, rpoint(_304559)]], 3086 ^ _197713 : [(3087 ^ _197713) ^ [_304796] : [_304189 = _304796, rpoint(_304796)]], 3094 ^ _197713 : [(3095 ^ _197713) ^ [_305033] : [_304191 = _305033, rpoint(_305033)]], 3100 ^ _197713 : [(3101 ^ _197713) ^ [_305232] : [_304193 = _305232, rpoint(_305232)]]], (3858 ^ _197713) ^ [_331146, _331148, _331150, _331152] : [3878 ^ _197713 : [(3881 ^ _197713) ^ [] : [-(rpoint(3877 ^ [_331146, _331148, _331150, _331152]))], (3879 ^ _197713) ^ [] : [rS(3877 ^ [_331146, _331148, _331150, _331152], _331148, _331152)]], _331148 = _331146, -(ron(_331148, _331152)), rpoint(_331146), _331152 = _331150, rline(_331150)], (862 ^ _197713) ^ [_232320, _232322, _232324, _232326, _232328, _232330] : [909 ^ _197713 : [(916 ^ _197713) ^ [] : [vangle(_232330, _232326, _232324) = vperp, -(vangle(_232330, _232326, _232324) = vangle(_232324, _232326, _232328))], (910 ^ _197713) ^ [] : [vangle(_232330, _232326, _232324) = vangle(_232324, _232326, _232328), -(vangle(_232330, _232326, _232324) = vperp)]], -(ron(_232324, _232322)), rR(_232326, _232330, _232328), _232322 = _232320, rline(_232320), 881 ^ _197713 : [(882 ^ _197713) ^ [_232934] : [_232324 = _232934, rpoint(_232934)]], 889 ^ _197713 : [(890 ^ _197713) ^ [_233191] : [_232326 = _233191, rpoint(_233191)]], 897 ^ _197713 : [(898 ^ _197713) ^ [_233448] : [_232328 = _233448, rpoint(_233448)]], 903 ^ _197713 : [(904 ^ _197713) ^ [_233663] : [_232330 = _233663, rpoint(_233663)]]], (1757 ^ _197713) ^ [] : [-(rreal(vd684))], (4259 ^ _197713) ^ [_344883, _344885, _344887, _344889, _344891] : [4303 ^ _197713 : [(4306 ^ _197713) ^ [] : [4302 ^ [_344883, _344885, _344887, _344889, _344891] = _344887], (4308 ^ _197713) ^ [] : [-(ron(4302 ^ [_344883, _344885, _344887, _344889, _344891], _344891))], (4310 ^ _197713) ^ [] : [-(rpoint(4302 ^ [_344883, _344885, _344887, _344889, _344891]))], (4304 ^ _197713) ^ [] : [4302 ^ [_344883, _344885, _344887, _344889, _344891] = _344885]], ron(_344883, _344891), ron(_344885, _344891), ron(_344887, _344891), 4274 ^ _197713 : [(4275 ^ _197713) ^ [_345380] : [_344883 = _345380, rpoint(_345380)]], 4282 ^ _197713 : [(4283 ^ _197713) ^ [_345627] : [_344885 = _345627, rpoint(_345627)]], 4290 ^ _197713 : [(4291 ^ _197713) ^ [_345874] : [_344887 = _345874, rpoint(_345874)]], _344891 = _344889, rline(_344889)], (2697 ^ _197713) ^ [_292405, _292407, _292409, _292411, _292413] : [-(rS(_292413, _292411, _292407)), rS(_292413, _292409, _292407), rR(_292411, _292413, _292409), _292407 = _292405, rline(_292405), 2716 ^ _197713 : [(2717 ^ _197713) ^ [_292965] : [_292409 = _292965, rpoint(_292965)]], 2724 ^ _197713 : [(2725 ^ _197713) ^ [_293212] : [_292411 = _293212, rpoint(_293212)]], 2730 ^ _197713 : [(2731 ^ _197713) ^ [_293419] : [_292413 = _293419, rpoint(_293419)]]], (2117 ^ _197713) ^ [_273013, _273015, _273017, _273019, _273021, _273023, _273025] : [-(rinside(_273021, _273015)), rR(_273021, _273025, _273023), 2124 ^ _197713 : [(2127 ^ _197713) ^ [] : [rinside(_273023, _273015)], (2125 ^ _197713) ^ [] : [ron(_273023, _273015)]], 2130 ^ _197713 : [(2133 ^ _197713) ^ [] : [rinside(_273025, _273015)], (2131 ^ _197713) ^ [] : [ron(_273025, _273015)]], _273015 = _273013, rcircle(_273013), _273019 = _273017, rline(_273017), 2152 ^ _197713 : [(2153 ^ _197713) ^ [_274089] : [_273021 = _274089, rpoint(_274089)]], 2160 ^ _197713 : [(2161 ^ _197713) ^ [_274356] : [_273023 = _274356, rpoint(_274356)]], 2166 ^ _197713 : [(2167 ^ _197713) ^ [_274579] : [_273025 = _274579, rpoint(_274579)]]], (3201 ^ _197713) ^ [_308514, _308516, _308518] : [3228 ^ _197713 : [(3231 ^ _197713) ^ [] : [_308518 = _308514], (3233 ^ _197713) ^ [] : [_308518 = _308516], (3235 ^ _197713) ^ [] : [-(rR(_308516, _308514, _308518))], (3229 ^ _197713) ^ [] : [rR(_308518, _308516, _308514)]], rR(_308516, _308518, _308514), 3208 ^ _197713 : [(3209 ^ _197713) ^ [_308792] : [_308514 = _308792, rpoint(_308792)]], 3216 ^ _197713 : [(3217 ^ _197713) ^ [_309019] : [_308516 = _309019, rpoint(_309019)]], 3222 ^ _197713 : [(3223 ^ _197713) ^ [_309210] : [_308518 = _309210, rpoint(_309210)]]], (1200 ^ _197713) ^ [_243244, _243246, _243248] : [-(vplus(vf(_243248, _243246), vf(_243246, _243244)) = vf(_243248, _243244)), rR(_243246, _243248, _243244), 1207 ^ _197713 : [(1208 ^ _197713) ^ [_243508] : [_243244 = _243508, rpoint(_243508)]], 1215 ^ _197713 : [(1216 ^ _197713) ^ [_243735] : [_243246 = _243735, rpoint(_243735)]], 1221 ^ _197713 : [(1222 ^ _197713) ^ [_243926] : [_243248 = _243926, rpoint(_243926)]]], (278 ^ _197713) ^ [] : [-(vd1055 = vd1056)], (483 ^ _197713) ^ [_219491, _219493, _219495, _219497, _219499, _219501] : [550 ^ _197713 : [(557 ^ _197713) ^ [] : [vplus(vg(_219501, _219497, _219495), vg(_219495, _219497, _219499)) = vg(_219501, _219495, _219499), -(rR(_219497, _219501, _219499))], (551 ^ _197713) ^ [] : [rR(_219497, _219501, _219499), -(vplus(vg(_219501, _219497, _219495), vg(_219495, _219497, _219499)) = vg(_219501, _219495, _219499))]], -(ron(_219495, _219493)), _219493 = _219491, rline(_219491), -(_219497 = _219495), -(_219499 = _219495), -(_219499 = _219497), -(_219501 = _219495), -(_219501 = _219497), -(_219501 = _219499), 522 ^ _197713 : [(523 ^ _197713) ^ [_220630] : [_219495 = _220630, rpoint(_220630)]], 530 ^ _197713 : [(531 ^ _197713) ^ [_220887] : [_219497 = _220887, rpoint(_220887)]], 538 ^ _197713 : [(539 ^ _197713) ^ [_221144] : [_219499 = _221144, rpoint(_221144)]], 544 ^ _197713 : [(545 ^ _197713) ^ [_221359] : [_219501 = _221359, rpoint(_221359)]]], (1793 ^ _197713) ^ [_262416, _262418, _262420, _262422] : [-(rintersect(_262418, _262416)), -(rinside(_262420, _262416)), -(ron(_262420, _262416)), rinside(_262422, _262416), 1808 ^ _197713 : [(1811 ^ _197713) ^ [] : [rinside(_262420, _262418)], (1809 ^ _197713) ^ [] : [ron(_262420, _262418)]], ron(_262422, _262418), 1818 ^ _197713 : [(1819 ^ _197713) ^ [_263145] : [_262416 = _263145, rcircle(_263145)]], 1826 ^ _197713 : [(1827 ^ _197713) ^ [_263382] : [_262418 = _263382, rcircle(_263382)]], 1834 ^ _197713 : [(1835 ^ _197713) ^ [_263619] : [_262420 = _263619, rpoint(_263619)]], 1840 ^ _197713 : [(1841 ^ _197713) ^ [_263818] : [_262422 = _263818, rpoint(_263818)]]], (3749 ^ _197713) ^ [_327401, _327403] : [3757 ^ _197713 : [(3762 ^ _197713) ^ [] : [-(rpoint(3756 ^ [_327401, _327403]))], (3760 ^ _197713) ^ [] : [rinside(3756 ^ [_327401, _327403], _327403)], (3758 ^ _197713) ^ [] : [ron(3756 ^ [_327401, _327403], _327403)]], _327403 = _327401, rcircle(_327401)], (3938 ^ _197713) ^ [_333985, _333987, _333989, _333991, _333993, _333995] : [3970 ^ _197713 : [(3973 ^ _197713) ^ [] : [3969 ^ [_333985, _333987, _333989, _333991, _333993, _333995] = _333991], (3975 ^ _197713) ^ [] : [-(rS(3969 ^ [_333985, _333987, _333989, _333991, _333993, _333995], _333991, _333995))], (3977 ^ _197713) ^ [] : [-(rpoint(3969 ^ [_333985, _333987, _333989, _333991, _333993, _333995]))], (3971 ^ _197713) ^ [] : [3969 ^ [_333985, _333987, _333989, _333991, _333993, _333995] = _333987]], _333991 = _333989, _333987 = _333985, rS(_333987, _333991, _333995), rpoint(_333985), -(ron(_333991, _333995)), rpoint(_333989), _333995 = _333993, rline(_333993)], (282 ^ _197713) ^ [_207229, _207231, _207233, _207235, _207237, _207239, _207241, _207243, _207245, _207247, _207249, _207251, _207253, _207255, _207257, _207259, _207261, _207263] : [478 ^ _197713 : [(481 ^ _197713) ^ [] : [-(vf(_207251, _207249) = vf(_207247, _207245))], (479 ^ _197713) ^ [] : [-(vangle(_207243, _207241, _207239) = vangle(_207237, _207235, _207233))]], _207231 = _207229, 292 ^ _197713 : [(315 ^ _197713) ^ [] : [-(rpoint(290 ^ [_207229, _207231, _207233, _207235, _207237, _207239, _207241, _207243, _207245, _207247, _207249, _207251, _207253, _207255, _207257, _207259, _207261, _207263]))], (305 ^ _197713) ^ [] : [-(vangle(289 ^ [_207229, _207231, _207233, _207235, _207237, _207239, _207241, _207243, _207245, _207247, _207249, _207251, _207253, _207255, _207257, _207259, _207261, _207263], 291 ^ [_207229, _207231, _207233, _207235, _207237, _207239, _207241, _207243, _207245, _207247, _207249, _207251, _207253, _207255, _207257, _207259, _207261, _207263], 290 ^ [_207229, _207231, _207233, _207235, _207237, _207239, _207241, _207243, _207245, _207247, _207249, _207251, _207253, _207255, _207257, _207259, _207261, _207263]) = vangle(_207263, _207259, _207261))], (303 ^ _197713) ^ [] : [-(vf(_207263, _207261) = vf(289 ^ [_207229, _207231, _207233, _207235, _207237, _207239, _207241, _207243, _207245, _207247, _207249, _207251, _207253, _207255, _207257, _207259, _207261, _207263], 290 ^ [_207229, _207231, _207233, _207235, _207237, _207239, _207241, _207243, _207245, _207247, _207249, _207251, _207253, _207255, _207257, _207259, _207261, _207263]))], (295 ^ _197713) ^ [] : [rR(_207257, 290 ^ [_207229, _207231, _207233, _207235, _207237, _207239, _207241, _207243, _207245, _207247, _207249, _207251, _207253, _207255, _207257, _207259, _207261, _207263], _207255)], (311 ^ _197713) ^ [] : [-(289 ^ [_207229, _207231, _207233, _207235, _207237, _207239, _207241, _207243, _207245, _207247, _207249, _207251, _207253, _207255, _207257, _207259, _207261, _207263] = _207257)], (301 ^ _197713) ^ [] : [-(vf(_207261, _207259) = vf(290 ^ [_207229, _207231, _207233, _207235, _207237, _207239, _207241, _207243, _207245, _207247, _207249, _207251, _207253, _207255, _207257, _207259, _207261, _207263], 291 ^ [_207229, _207231, _207233, _207235, _207237, _207239, _207241, _207243, _207245, _207247, _207249, _207251, _207253, _207255, _207257, _207259, _207261, _207263]))], (293 ^ _197713) ^ [] : [-(rS(291 ^ [_207229, _207231, _207233, _207235, _207237, _207239, _207241, _207243, _207245, _207247, _207249, _207251, _207253, _207255, _207257, _207259, _207261, _207263], _207253, _207231))], (307 ^ _197713) ^ [] : [-(vangle(290 ^ [_207229, _207231, _207233, _207235, _207237, _207239, _207241, _207243, _207245, _207247, _207249, _207251, _207253, _207255, _207257, _207259, _207261, _207263], 289 ^ [_207229, _207231, _207233, _207235, _207237, _207239, _207241, _207243, _207245, _207247, _207249, _207251, _207253, _207255, _207257, _207259, _207261, _207263], 291 ^ [_207229, _207231, _207233, _207235, _207237, _207239, _207241, _207243, _207245, _207247, _207249, _207251, _207253, _207255, _207257, _207259, _207261, _207263]) = vangle(_207261, _207263, _207259))], (317 ^ _197713) ^ [] : [-(rpoint(289 ^ [_207229, _207231, _207233, _207235, _207237, _207239, _207241, _207243, _207245, _207247, _207249, _207251, _207253, _207255, _207257, _207259, _207261, _207263]))], (313 ^ _197713) ^ [] : [-(rpoint(291 ^ [_207229, _207231, _207233, _207235, _207237, _207239, _207241, _207243, _207245, _207247, _207249, _207251, _207253, _207255, _207257, _207259, _207261, _207263]))], (297 ^ _197713) ^ [] : [-(ron(290 ^ [_207229, _207231, _207233, _207235, _207237, _207239, _207241, _207243, _207245, _207247, _207249, _207251, _207253, _207255, _207257, _207259, _207261, _207263], _207231))], (319 ^ _197713) ^ [] : [vangle(_207243, _207241, _207239) = vangle(_207237, _207235, _207233), vf(_207251, _207249) = vf(_207247, _207245)], (299 ^ _197713) ^ [] : [-(vf(_207263, _207259) = vf(289 ^ [_207229, _207231, _207233, _207235, _207237, _207239, _207241, _207243, _207245, _207247, _207249, _207251, _207253, _207255, _207257, _207259, _207261, _207263], 291 ^ [_207229, _207231, _207233, _207235, _207237, _207239, _207241, _207243, _207245, _207247, _207249, _207251, _207253, _207255, _207257, _207259, _207261, _207263]))], (309 ^ _197713) ^ [] : [-(vangle(291 ^ [_207229, _207231, _207233, _207235, _207237, _207239, _207241, _207243, _207245, _207247, _207249, _207251, _207253, _207255, _207257, _207259, _207261, _207263], 290 ^ [_207229, _207231, _207233, _207235, _207237, _207239, _207241, _207243, _207245, _207247, _207249, _207251, _207253, _207255, _207257, _207259, _207261, _207263], 289 ^ [_207229, _207231, _207233, _207235, _207237, _207239, _207241, _207243, _207245, _207247, _207249, _207251, _207253, _207255, _207257, _207259, _207261, _207263]) = vangle(_207259, _207261, _207263))]], -(ron(_207253, _207231)), ron(_207255, _207231), ron(_207257, _207231), rline(_207229), 342 ^ _197713 : [(343 ^ _197713) ^ [_212759] : [_207233 = _212759, rpoint(_212759)]], 350 ^ _197713 : [(351 ^ _197713) ^ [_213136] : [_207235 = _213136, rpoint(_213136)]], 358 ^ _197713 : [(359 ^ _197713) ^ [_213513] : [_207237 = _213513, rpoint(_213513)]], 366 ^ _197713 : [(367 ^ _197713) ^ [_213890] : [_207239 = _213890, rpoint(_213890)]], 374 ^ _197713 : [(375 ^ _197713) ^ [_214267] : [_207241 = _214267, rpoint(_214267)]], 382 ^ _197713 : [(383 ^ _197713) ^ [_214644] : [_207243 = _214644, rpoint(_214644)]], 390 ^ _197713 : [(391 ^ _197713) ^ [_215021] : [_207245 = _215021, rpoint(_215021)]], 398 ^ _197713 : [(399 ^ _197713) ^ [_215398] : [_207247 = _215398, rpoint(_215398)]], 406 ^ _197713 : [(407 ^ _197713) ^ [_215775] : [_207249 = _215775, rpoint(_215775)]], 414 ^ _197713 : [(415 ^ _197713) ^ [_216152] : [_207251 = _216152, rpoint(_216152)]], 422 ^ _197713 : [(423 ^ _197713) ^ [_216529] : [_207253 = _216529, rpoint(_216529)]], 430 ^ _197713 : [(431 ^ _197713) ^ [_216906] : [_207255 = _216906, rpoint(_216906)]], 438 ^ _197713 : [(439 ^ _197713) ^ [_217283] : [_207257 = _217283, rpoint(_217283)]], -(_207261 = _207259), -(_207263 = _207259), -(_207263 = _207261), 458 ^ _197713 : [(459 ^ _197713) ^ [_218092] : [_207259 = _218092, rpoint(_218092)]], 466 ^ _197713 : [(467 ^ _197713) ^ [_218469] : [_207261 = _218469, rpoint(_218469)]], 472 ^ _197713 : [(473 ^ _197713) ^ [_218780] : [_207263 = _218780, rpoint(_218780)]]], (4492 ^ _197713) ^ [_353139, _353141] : [4500 ^ _197713 : [(4503 ^ _197713) ^ [] : [-(rpoint(4499 ^ [_353139, _353141]))], (4501 ^ _197713) ^ [] : [4499 ^ [_353139, _353141] = _353141]], _353141 = _353139, rpoint(_353139)], (3337 ^ _197713) ^ [_312839, _312841, _312843, _312845, _312847, _312849, _312851] : [3385 ^ _197713 : [(3388 ^ _197713) ^ [] : [-(ron(3384 ^ [_312839, _312841, _312843, _312845, _312847, _312849, _312851], _312849))], (3390 ^ _197713) ^ [] : [-(ron(3384 ^ [_312839, _312841, _312843, _312845, _312847, _312849, _312851], _312851))], (3392 ^ _197713) ^ [] : [-(rpoint(3384 ^ [_312839, _312841, _312843, _312845, _312847, _312849, _312851]))], (3386 ^ _197713) ^ [] : [rS(3384 ^ [_312839, _312841, _312843, _312845, _312847, _312849, _312851], _312839, _312847)]], -(ron(_312839, _312847)), ron(_312841, _312847), ron(_312843, _312847), rcenter(_312841, _312849), rcenter(_312843, _312851), rintersect(_312851, _312849), _312847 = _312845, rline(_312845), 3372 ^ _197713 : [(3373 ^ _197713) ^ [_313866] : [_312849 = _313866, rcircle(_313866)]], 3378 ^ _197713 : [(3379 ^ _197713) ^ [_314089] : [_312851 = _314089, rcircle(_314089)]]], (118 ^ _197713) ^ [_201641, _201643, _201645, _201647, _201649, _201651] : [-(rR(_201649, _201645, _201641)), rR(_201651, _201647, _201643), _201651 = _201649, _201647 = _201645, _201643 = _201641], (4312 ^ _197713) ^ [_346749, _346751, _346753, _346755, _346757, _346759] : [4344 ^ _197713 : [(4347 ^ _197713) ^ [] : [4343 ^ [_346749, _346751, _346753, _346755, _346757, _346759] = _346755], (4349 ^ _197713) ^ [] : [-(ron(4343 ^ [_346749, _346751, _346753, _346755, _346757, _346759], _346759))], (4351 ^ _197713) ^ [] : [-(rpoint(4343 ^ [_346749, _346751, _346753, _346755, _346757, _346759]))], (4345 ^ _197713) ^ [] : [4343 ^ [_346749, _346751, _346753, _346755, _346757, _346759] = _346751]], ron(_346751, _346759), ron(_346755, _346759), _346751 = _346749, rpoint(_346749), _346755 = _346753, rpoint(_346753), _346759 = _346757, rline(_346757)], (1849 ^ _197713) ^ [_264198, _264200, _264202, _264204, _264206, _264208] : [-(rintersect(_264200, _264204)), ron(_264208, _264200), rinside(_264208, _264204), _264200 = _264198, rline(_264198), _264204 = _264202, rcircle(_264202), _264208 = _264206, rpoint(_264206)], (2609 ^ _197713) ^ [_289542, _289544, _289546, _289548, _289550] : [rS(_289550, _289546, _289544), ron(_289548, _289544), rR(_289548, _289550, _289546), _289544 = _289542, rline(_289542), 2628 ^ _197713 : [(2629 ^ _197713) ^ [_290102] : [_289546 = _290102, rpoint(_290102)]], 2636 ^ _197713 : [(2637 ^ _197713) ^ [_290349] : [_289548 = _290349, rpoint(_290349)]], 2642 ^ _197713 : [(2643 ^ _197713) ^ [_290556] : [_289550 = _290556, rpoint(_290556)]]], (1024 ^ _197713) ^ [_237730, _237732, _237734, _237736, _237738, _237740, _237742, _237744] : [1071 ^ _197713 : [(1072 ^ _197713) ^ [] : [-(vangle(_237740, _237744, _237736) = v0), -(rR(_237744, _237740, _237736)), ron(_237736, _237732)], (1082 ^ _197713) ^ [] : [vangle(_237740, _237744, _237736) = v0, 1085 ^ _197713 : [(1088 ^ _197713) ^ [] : [-(ron(_237736, _237732))], (1086 ^ _197713) ^ [] : [rR(_237744, _237740, _237736)]]]], ron(_237740, _237732), ron(_237744, _237732), -(_237744 = _237736), -(_237744 = _237740), _237732 = _237730, rline(_237730), _237736 = _237734, rpoint(_237734), _237740 = _237738, rpoint(_237738), _237744 = _237742, rpoint(_237742)], (4006 ^ _197713) ^ [_336306, _336308, _336310, _336312, _336314, _336316] : [4050 ^ _197713 : [(4055 ^ _197713) ^ [] : [-(rpoint(4049 ^ [_336306, _336308, _336310, _336312, _336314, _336316]))], (4053 ^ _197713) ^ [] : [-(rR(_336310, _336312, 4049 ^ [_336306, _336308, _336310, _336312, _336314, _336316]))], (4051 ^ _197713) ^ [] : [4049 ^ [_336306, _336308, _336310, _336312, _336314, _336316] = _336308]], _336308 = _336306, rR(_336310, _336312, _336308), rpoint(_336306), ron(_336310, _336316), ron(_336312, _336316), 4029 ^ _197713 : [(4030 ^ _197713) ^ [_336998] : [_336310 = _336998, rpoint(_336998)]], 4037 ^ _197713 : [(4038 ^ _197713) ^ [_337255] : [_336312 = _337255, rpoint(_337255)]], _336316 = _336314, rline(_336314)], (48 ^ _197713) ^ [_199377, _199379, _199381, _199383] : [-(rless(_199381, _199377)), rless(_199383, _199379), _199383 = _199381, _199379 = _199377], (2917 ^ _197713) ^ [_299414, _299416, _299418, _299420] : [rR(_299418, _299416, _299414), rR(_299418, _299420, _299414), rR(_299418, _299420, _299416), 2928 ^ _197713 : [(2929 ^ _197713) ^ [_299788] : [_299414 = _299788, rpoint(_299788)]], 2936 ^ _197713 : [(2937 ^ _197713) ^ [_300025] : [_299416 = _300025, rpoint(_300025)]], 2944 ^ _197713 : [(2945 ^ _197713) ^ [_300262] : [_299418 = _300262, rpoint(_300262)]], 2950 ^ _197713 : [(2951 ^ _197713) ^ [_300461] : [_299420 = _300461, rpoint(_300461)]]], (280 ^ _197713) ^ [] : [-(rpoint(vd1056))], (1332 ^ _197713) ^ [_247859, _247861, _247863, _247865, _247867, _247869] : [-(rgeq(vg(_247869, _247865, _247861), v0)), _247861 = _247859, rpoint(_247859), _247865 = _247863, rpoint(_247863), _247869 = _247867, rpoint(_247867)], (2245 ^ _197713) ^ [_277286, _277288, _277290, _277292, _277294, _277296, _277298, _277300] : [-(rS(_277290, _277286, _277300)), rS(_277290, _277286, _277296), rS(_277288, _277286, _277298), rS(_277292, _277290, _277296), rS(_277290, _277288, _277300), ron(_277288, _277296), ron(_277290, _277298), ron(_277292, _277300), ron(_277294, _277296), ron(_277294, _277298), ron(_277294, _277300), 2288 ^ _197713 : [(2289 ^ _197713) ^ [_278630] : [_277288 = _278630, rpoint(_278630)]], 2296 ^ _197713 : [(2297 ^ _197713) ^ [_278907] : [_277290 = _278907, rpoint(_278907)]], 2304 ^ _197713 : [(2305 ^ _197713) ^ [_279184] : [_277292 = _279184, rpoint(_279184)]], 2312 ^ _197713 : [(2313 ^ _197713) ^ [_279461] : [_277294 = _279461, rpoint(_279461)]], 2320 ^ _197713 : [(2321 ^ _197713) ^ [_279738] : [_277296 = _279738, rline(_279738)]], 2328 ^ _197713 : [(2329 ^ _197713) ^ [_280015] : [_277298 = _280015, rline(_280015)]], 2334 ^ _197713 : [(2335 ^ _197713) ^ [_280246] : [_277300 = _280246, rline(_280246)]]], (2531 ^ _197713) ^ [_287105, _287107, _287109, _287111, _287113] : [-(rR(_287111, _287113, _287109)), ron(_287111, _287107), ron(_287111, _287105), -(rS(_287113, _287109, _287107)), ron(_287109, _287105), ron(_287113, _287105), -(_287107 = _287105), 2558 ^ _197713 : [(2559 ^ _197713) ^ [_287921] : [_287105 = _287921, rline(_287921)]], 2566 ^ _197713 : [(2567 ^ _197713) ^ [_288168] : [_287107 = _288168, rline(_288168)]], -(_287111 = _287109), -(_287113 = _287109), -(_287113 = _287111), 2586 ^ _197713 : [(2587 ^ _197713) ^ [_288691] : [_287109 = _288691, rpoint(_288691)]], 2594 ^ _197713 : [(2595 ^ _197713) ^ [_288938] : [_287111 = _288938, rpoint(_288938)]], 2600 ^ _197713 : [(2601 ^ _197713) ^ [_289145] : [_287113 = _289145, rpoint(_289145)]]], (1759 ^ _197713) ^ [_261359, _261361, _261363, _261365] : [-(rintersect(_261361, _261359)), ron(_261363, _261359), rinside(_261365, _261359), rinside(_261363, _261361), ron(_261365, _261361), 1778 ^ _197713 : [(1779 ^ _197713) ^ [_261880] : [_261363 = _261880, rpoint(_261880)]], 1784 ^ _197713 : [(1785 ^ _197713) ^ [_262079] : [_261365 = _262079, rpoint(_262079)]]], (2835 ^ _197713) ^ [_296852, _296854, _296856, _296858] : [ron(_296858, _296854), rS(_296858, _296856, _296854), _296854 = _296852, rline(_296852), 2850 ^ _197713 : [(2851 ^ _197713) ^ [_297282] : [_296856 = _297282, rpoint(_297282)]], 2856 ^ _197713 : [(2857 ^ _197713) ^ [_297481] : [_296858 = _297481, rpoint(_297481)]]], (4353 ^ _197713) ^ [_348134, _348136, _348138, _348140] : [4373 ^ _197713 : [(4378 ^ _197713) ^ [] : [-(rpoint(4372 ^ [_348134, _348136, _348138, _348140]))], (4376 ^ _197713) ^ [] : [-(ron(4372 ^ [_348134, _348136, _348138, _348140], _348140))], (4374 ^ _197713) ^ [] : [4372 ^ [_348134, _348136, _348138, _348140] = _348136]], ron(_348136, _348140), _348136 = _348134, rpoint(_348134), _348140 = _348138, rline(_348138)], (194 ^ _197713) ^ [_203947, _203949] : [-(rcircle(_203947)), _203949 = _203947, rcircle(_203949)], (1644 ^ _197713) ^ [_257895, _257897] : [rless(_257897, _257897), _257897 = _257895, rreal(_257895)], (3283 ^ _197713) ^ [_311124, _311126, _311128, _311130] : [-(_311126 = _311124), ron(_311128, _311124), ron(_311128, _311126), ron(_311130, _311124), ron(_311130, _311126), 3302 ^ _197713 : [(3303 ^ _197713) ^ [_311685] : [_311124 = _311685, rline(_311685)]], 3310 ^ _197713 : [(3311 ^ _197713) ^ [_311922] : [_311126 = _311922, rline(_311922)]], -(_311130 = _311128), 3322 ^ _197713 : [(3323 ^ _197713) ^ [_312247] : [_311128 = _312247, rpoint(_312247)]], 3328 ^ _197713 : [(3329 ^ _197713) ^ [_312446] : [_311130 = _312446, rpoint(_312446)]]], (3845 ^ _197713) ^ [_330679, _330681] : [3853 ^ _197713 : [(3856 ^ _197713) ^ [] : [-(rpoint(3852 ^ [_330679, _330681]))], (3854 ^ _197713) ^ [] : [-(ron(3852 ^ [_330679, _330681], _330681))]], _330681 = _330679, rcircle(_330679)], (166 ^ _197713) ^ [_203107, _203109, _203111, _203113] : [-(ron(_203111, _203107)), ron(_203113, _203109), _203113 = _203111, _203109 = _203107], (276 ^ _197713) ^ [] : [-(rpoint(vd1058))], (156 ^ _197713) ^ [_202784, _202786] : [-(rpoint(_202784)), _202786 = _202784, rpoint(_202786)], (232 ^ _197713) ^ [_205334, _205336, _205338, _205340] : [-(vf(_205340, _205336) = vf(_205338, _205334)), _205340 = _205338, _205336 = _205334], (2343 ^ _197713) ^ [_280715, _280717, _280719, _280721, _280723, _280725, _280727] : [-(rS(_280719, _280717, _280723)), -(_280719 = _280721), -(ron(_280715, _280725)), -(rS(_280719, _280715, _280725)), rS(_280717, _280715, _280727), ron(_280715, _280723), ron(_280717, _280725), ron(_280719, _280727), ron(_280721, _280723), ron(_280721, _280725), ron(_280721, _280727), 2386 ^ _197713 : [(2387 ^ _197713) ^ [_282020] : [_280715 = _282020, rpoint(_282020)]], 2394 ^ _197713 : [(2395 ^ _197713) ^ [_282287] : [_280717 = _282287, rpoint(_282287)]], 2402 ^ _197713 : [(2403 ^ _197713) ^ [_282554] : [_280719 = _282554, rpoint(_282554)]], 2410 ^ _197713 : [(2411 ^ _197713) ^ [_282821] : [_280721 = _282821, rpoint(_282821)]], 2418 ^ _197713 : [(2419 ^ _197713) ^ [_283088] : [_280723 = _283088, rline(_283088)]], 2426 ^ _197713 : [(2427 ^ _197713) ^ [_283355] : [_280725 = _283355, rline(_283355)]], 2432 ^ _197713 : [(2433 ^ _197713) ^ [_283578] : [_280727 = _283578, rline(_283578)]]], (2793 ^ _197713) ^ [_295485, _295487, _295489, _295491, _295493] : [-(rS(_295491, _295489, _295487)), rS(_295493, _295489, _295487), rS(_295493, _295491, _295487), _295487 = _295485, rline(_295485), 2812 ^ _197713 : [(2813 ^ _197713) ^ [_296045] : [_295489 = _296045, rpoint(_296045)]], 2820 ^ _197713 : [(2821 ^ _197713) ^ [_296292] : [_295491 = _296292, rpoint(_296292)]], 2826 ^ _197713 : [(2827 ^ _197713) ^ [_296499] : [_295493 = _296499, rpoint(_296499)]]], (3818 ^ _197713) ^ [_329813, _329815, _329817, _329819] : [3838 ^ _197713 : [(3843 ^ _197713) ^ [] : [-(rpoint(3837 ^ [_329813, _329815, _329817, _329819]))], (3841 ^ _197713) ^ [] : [-(ron(3837 ^ [_329813, _329815, _329817, _329819], _329819))], (3839 ^ _197713) ^ [] : [3837 ^ [_329813, _329815, _329817, _329819] = _329815]], ron(_329815, _329819), _329815 = _329813, rpoint(_329813), _329819 = _329817, rcircle(_329817)], (4098 ^ _197713) ^ [_339391, _339393, _339395, _339397, _339399, _339401] : [4158 ^ _197713 : [(4161 ^ _197713) ^ [] : [4157 ^ [_339391, _339393, _339395, _339397, _339399, _339401] = _339393], (4163 ^ _197713) ^ [] : [-(rR(4157 ^ [_339391, _339393, _339395, _339397, _339399, _339401], _339397, _339395))], (4165 ^ _197713) ^ [] : [-(rpoint(4157 ^ [_339391, _339393, _339395, _339397, _339399, _339401]))], (4159 ^ _197713) ^ [] : [4157 ^ [_339391, _339393, _339395, _339397, _339399, _339401] = _339391]], rR(_339391, _339397, _339395), rR(_339393, _339397, _339395), ron(_339393, _339401), ron(_339395, _339401), ron(_339397, _339401), 4121 ^ _197713 : [(4122 ^ _197713) ^ [_340127] : [_339391 = _340127, rpoint(_340127)]], 4129 ^ _197713 : [(4130 ^ _197713) ^ [_340384] : [_339393 = _340384, rpoint(_340384)]], 4137 ^ _197713 : [(4138 ^ _197713) ^ [_340641] : [_339395 = _340641, rpoint(_340641)]], 4145 ^ _197713 : [(4146 ^ _197713) ^ [_340898] : [_339397 = _340898, rpoint(_340898)]], _339401 = _339399, rline(_339399)], (2959 ^ _197713) ^ [_300814, _300816, _300818, _300820, _300822] : [-(rR(_300820, _300822, _300818)), -(rR(_300822, _300820, _300818)), -(rR(_300818, _300822, _300820)), _300816 = _300814, ron(_300818, _300816), ron(_300820, _300816), ron(_300822, _300816), rline(_300814), -(_300820 = _300818), -(_300822 = _300818), -(_300822 = _300820), 2994 ^ _197713 : [(2995 ^ _197713) ^ [_301781] : [_300818 = _301781, rpoint(_301781)]], 3002 ^ _197713 : [(3003 ^ _197713) ^ [_302028] : [_300820 = _302028, rpoint(_302028)]], 3008 ^ _197713 : [(3009 ^ _197713) ^ [_302235] : [_300822 = _302235, rpoint(_302235)]]], (3695 ^ _197713) ^ [_325620, _325622, _325624, _325626] : [3715 ^ _197713 : [(3720 ^ _197713) ^ [] : [-(rpoint(3714 ^ [_325620, _325622, _325624, _325626]))], (3718 ^ _197713) ^ [] : [-(ron(3714 ^ [_325620, _325622, _325624, _325626], _325626))], (3716 ^ _197713) ^ [] : [-(ron(3714 ^ [_325620, _325622, _325624, _325626], _325622))]], rintersect(_325626, _325622), _325622 = _325620, rline(_325620), _325626 = _325624, rline(_325624)], (2895 ^ _197713) ^ [_298775, _298777, _298779, _298781] : [-(rS(_298781, _298781, _298777)), -(ron(_298781, _298777)), _298777 = _298775, rline(_298775), _298781 = _298779, rpoint(_298779)], (1981 ^ _197713) ^ [_268498, _268500, _268502, _268504, _268506, _268508, _268510, _268512] : [rS(_268508, _268506, _268500), ron(_268502, _268500), ron(_268504, _268500), _268500 = _268498, rline(_268498), rcenter(_268502, _268510), rcenter(_268504, _268512), -(_268508 = _268506), ron(_268506, _268510), ron(_268506, _268512), ron(_268508, _268510), ron(_268508, _268512), 2028 ^ _197713 : [(2029 ^ _197713) ^ [_269912] : [_268506 = _269912, rpoint(_269912)]], 2036 ^ _197713 : [(2037 ^ _197713) ^ [_270189] : [_268508 = _270189, rpoint(_270189)]], rintersect(_268512, _268510), -(_268512 = _268510), 2052 ^ _197713 : [(2053 ^ _197713) ^ [_270673] : [_268510 = _270673, rcircle(_270673)]], 2058 ^ _197713 : [(2059 ^ _197713) ^ [_270904] : [_268512 = _270904, rcircle(_270904)]]], (1304 ^ _197713) ^ [_246827, _246829, _246831] : [1327 ^ _197713 : [(1330 ^ _197713) ^ [] : [-(vg(_246831, _246829, _246827) = vg(_246827, _246831, _246829))], (1328 ^ _197713) ^ [] : [-(vg(_246831, _246829, _246827) = vg(_246831, _246827, _246829))]], 1307 ^ _197713 : [(1308 ^ _197713) ^ [_247010] : [_246827 = _247010, rpoint(_247010)]], 1315 ^ _197713 : [(1316 ^ _197713) ^ [_247237] : [_246829 = _247237, rpoint(_247237)]], 1321 ^ _197713 : [(1322 ^ _197713) ^ [_247428] : [_246831 = _247428, rpoint(_247428)]]], (1230 ^ _197713) ^ [_244286, _244288, _244290, _244292, _244294, _244296] : [-(vg(_244296, _244294, _244292) = vg(_244290, _244288, _244286)), vangle(_244292, _244296, _244294) = vangle(_244286, _244290, _244288), vangle(_244294, _244292, _244296) = vangle(_244288, _244286, _244290), vangle(_244296, _244294, _244292) = vangle(_244290, _244288, _244286), vf(_244292, _244296) = vf(_244286, _244290), vf(_244294, _244292) = vf(_244288, _244286), vf(_244296, _244294) = vf(_244290, _244288), 1257 ^ _197713 : [(1258 ^ _197713) ^ [_245205] : [_244286 = _245205, rpoint(_245205)]], 1265 ^ _197713 : [(1266 ^ _197713) ^ [_245462] : [_244288 = _245462, rpoint(_245462)]], 1273 ^ _197713 : [(1274 ^ _197713) ^ [_245719] : [_244290 = _245719, rpoint(_245719)]], 1281 ^ _197713 : [(1282 ^ _197713) ^ [_245976] : [_244292 = _245976, rpoint(_245976)]], 1289 ^ _197713 : [(1290 ^ _197713) ^ [_246233] : [_244294 = _246233, rpoint(_246233)]], 1295 ^ _197713 : [(1296 ^ _197713) ^ [_246448] : [_244296 = _246448, rpoint(_246448)]]], (1883 ^ _197713) ^ [_265189, _265191, _265193, _265195] : [-(rintersect(1931 ^ [_265189, _265191, _265193, _265195], _265191)), -(rS(_265195, _265193, 1886 ^ [_265189, _265191, _265193, _265195])), 1891 ^ _197713 : [(1894 ^ _197713) ^ [] : [rinside(_265193, _265191)], (1892 ^ _197713) ^ [] : [ron(_265193, _265191)]], 1897 ^ _197713 : [(1900 ^ _197713) ^ [] : [rinside(_265195, _265191)], (1898 ^ _197713) ^ [] : [ron(_265195, _265191)]], 1903 ^ _197713 : [(1904 ^ _197713) ^ [_265883] : [_265189 = _265883, rcircle(_265883)]], 1911 ^ _197713 : [(1912 ^ _197713) ^ [_266120] : [_265191 = _266120, rcircle(_266120)]], 1919 ^ _197713 : [(1920 ^ _197713) ^ [_266357] : [_265193 = _266357, rpoint(_266357)]], 1925 ^ _197713 : [(1926 ^ _197713) ^ [_266556] : [_265195 = _266556, rpoint(_266556)]]], (4 ^ _197713) ^ [_197944, _197946] : [_197946 = _197944, -(_197944 = _197946)], (1456 ^ _197713) ^ [_251897, _251899] : [-(rleq(v0, vf(_251899, _251897))), 1459 ^ _197713 : [(1460 ^ _197713) ^ [_252041] : [_251897 = _252041, rpoint(_252041)]], 1465 ^ _197713 : [(1466 ^ _197713) ^ [_252224] : [_251899 = _252224, rpoint(_252224)]]], (3722 ^ _197713) ^ [_326483, _326485] : [3742 ^ _197713 : [(3747 ^ _197713) ^ [] : [-(rline(3741 ^ [_326483, _326485]))], (3745 ^ _197713) ^ [] : [-(ron(_326485, 3741 ^ [_326483, _326485]))], (3743 ^ _197713) ^ [] : [-(ron(_326483, 3741 ^ [_326483, _326485]))]], -(_326485 = _326483), 3729 ^ _197713 : [(3730 ^ _197713) ^ [_326728] : [_326483 = _326728, rpoint(_326728)]], 3735 ^ _197713 : [(3736 ^ _197713) ^ [_326911] : [_326485 = _326911, rpoint(_326911)]]], (2651 ^ _197713) ^ [_290922, _290924, _290926, _290928, _290930] : [-(rS(_290928, _290926, _290924)), -(ron(_290928, _290924)), ron(_290930, _290924), rR(_290928, _290930, _290926), _290924 = _290922, rline(_290922), 2674 ^ _197713 : [(2675 ^ _197713) ^ [_291580] : [_290926 = _291580, rpoint(_291580)]], 2682 ^ _197713 : [(2683 ^ _197713) ^ [_291827] : [_290928 = _291827, rpoint(_291827)]], 2688 ^ _197713 : [(2689 ^ _197713) ^ [_292034] : [_290930 = _292034, rpoint(_292034)]]], (922 ^ _197713) ^ [_234366, _234368, _234370, _234372, _234374, _234376] : [1005 ^ _197713 : [(1014 ^ _197713) ^ [] : [-(vangle(_234374, _234376, _234372) = vplus(vangle(_234374, _234376, _234370), vangle(_234370, _234376, _234372))), rS(_234372, _234370, _234368), rS(_234374, _234370, _234366)], (1006 ^ _197713) ^ [] : [vangle(_234374, _234376, _234372) = vplus(vangle(_234374, _234376, _234370), vangle(_234370, _234376, _234372)), 1009 ^ _197713 : [(1012 ^ _197713) ^ [] : [-(rS(_234374, _234370, _234366))], (1010 ^ _197713) ^ [] : [-(rS(_234372, _234370, _234368))]]]], -(_234368 = _234366), -(ron(_234370, _234366)), -(ron(_234370, _234368)), -(_234376 = _234372), -(_234376 = _234374), ron(_234372, _234366), ron(_234374, _234368), ron(_234376, _234366), ron(_234376, _234368), 961 ^ _197713 : [(962 ^ _197713) ^ [_235540] : [_234366 = _235540, rline(_235540)]], 969 ^ _197713 : [(970 ^ _197713) ^ [_235797] : [_234368 = _235797, rline(_235797)]], 977 ^ _197713 : [(978 ^ _197713) ^ [_236054] : [_234370 = _236054, rpoint(_236054)]], 985 ^ _197713 : [(986 ^ _197713) ^ [_236311] : [_234372 = _236311, rpoint(_236311)]], 993 ^ _197713 : [(994 ^ _197713) ^ [_236568] : [_234374 = _236568, rpoint(_236568)]], 999 ^ _197713 : [(1000 ^ _197713) ^ [_236783] : [_234376 = _236783, rpoint(_236783)]]], (1090 ^ _197713) ^ [_239766, _239768, _239770, _239772] : [1113 ^ _197713 : [(1120 ^ _197713) ^ [] : [rinside(_239772, _239766), -(rless(vf(_239768, _239772), vf(_239768, _239770)))], (1114 ^ _197713) ^ [] : [rless(vf(_239768, _239772), vf(_239768, _239770)), -(rinside(_239772, _239766))]], ron(_239770, _239766), rcenter(_239768, _239766), 1101 ^ _197713 : [(1102 ^ _197713) ^ [_240113] : [_239770 = _240113, rpoint(_240113)]], 1107 ^ _197713 : [(1108 ^ _197713) ^ [_240312] : [_239772 = _240312, rpoint(_240312)]]], (3571 ^ _197713) ^ [_321249, _321251, _321253, _321255, _321257, _321259, _321261, _321263] : [3623 ^ _197713 : [(3626 ^ _197713) ^ [] : [-(ron(3622 ^ [_321249, _321251, _321253, _321255, _321257, _321259, _321261, _321263], _321263))], (3628 ^ _197713) ^ [] : [-(ron(3622 ^ [_321249, _321251, _321253, _321255, _321257, _321259, _321261, _321263], _321259))], (3630 ^ _197713) ^ [] : [-(rpoint(3622 ^ [_321249, _321251, _321253, _321255, _321257, _321259, _321261, _321263]))], (3624 ^ _197713) ^ [] : [-(rR(3622 ^ [_321249, _321251, _321253, _321255, _321257, _321259, _321261, _321263], _321255, _321251))]], ron(_321251, _321259), -(ron(_321251, _321263)), -(rinside(_321251, _321263)), _321251 = _321249, rpoint(_321249), ron(_321255, _321259), rinside(_321255, _321263), _321255 = _321253, rpoint(_321253), _321259 = _321257, rline(_321257), _321263 = _321261, rcircle(_321261)], (3025 ^ _197713) ^ [_302802, _302804, _302806, _302808] : [-(rR(_302806, _302808, _302802)), rR(_302804, _302806, _302802), rR(_302806, _302808, _302804), 3036 ^ _197713 : [(3037 ^ _197713) ^ [_303174] : [_302802 = _303174, rpoint(_303174)]], 3044 ^ _197713 : [(3045 ^ _197713) ^ [_303411] : [_302804 = _303411, rpoint(_303411)]], 3052 ^ _197713 : [(3053 ^ _197713) ^ [_303648] : [_302806 = _303648, rpoint(_303648)]], 3058 ^ _197713 : [(3059 ^ _197713) ^ [_303847] : [_302808 = _303847, rpoint(_303847)]]], (270 ^ _197713) ^ [] : [-(rcircle(vd1061))], (252 ^ _197713) ^ [_206060, _206062, _206064, _206066, _206068, _206070] : [-(vtriangle(_206070, _206066, _206062) = vtriangle(_206068, _206064, _206060)), _206070 = _206068, _206066 = _206064, _206062 = _206060], (1755 ^ _197713) ^ [] : [-(v0 = vd684)], (3777 ^ _197713) ^ [_328400, _328402, _328404, _328406] : [3809 ^ _197713 : [(3812 ^ _197713) ^ [] : [3808 ^ [_328400, _328402, _328404, _328406] = _328402], (3814 ^ _197713) ^ [] : [-(ron(3808 ^ [_328400, _328402, _328404, _328406], _328406))], (3816 ^ _197713) ^ [] : [-(rpoint(3808 ^ [_328400, _328402, _328404, _328406]))], (3810 ^ _197713) ^ [] : [3808 ^ [_328400, _328402, _328404, _328406] = _328400]], ron(_328400, _328406), ron(_328402, _328406), 3788 ^ _197713 : [(3789 ^ _197713) ^ [_328772] : [_328400 = _328772, rpoint(_328772)]], 3796 ^ _197713 : [(3797 ^ _197713) ^ [_329009] : [_328402 = _329009, rpoint(_329009)]], _328406 = _328404, rcircle(_328404)], (3155 ^ _197713) ^ [_307064, _307066, _307068, _307070, _307072] : [-(ron(_307068, _307066)), _307066 = _307064, ron(_307070, _307066), ron(_307072, _307066), rR(_307070, _307072, _307068), rline(_307064), 3178 ^ _197713 : [(3179 ^ _197713) ^ [_307718] : [_307068 = _307718, rpoint(_307718)]], 3186 ^ _197713 : [(3187 ^ _197713) ^ [_307965] : [_307070 = _307965, rpoint(_307965)]], 3192 ^ _197713 : [(3193 ^ _197713) ^ [_308172] : [_307072 = _308172, rpoint(_308172)]]], (4507 ^ _197713) ^ [_353662, _353664, _353666, _353668] : [4514 ^ _197713 : [(4524 ^ _197713) ^ [] : [-(rpoint(4520 ^ [_353662, _353664, _353666, _353668]))], (4515 ^ _197713) ^ [] : [_353666 = _353664], (4517 ^ _197713) ^ [] : [_353668 = _353664], (4529 ^ _197713) ^ [] : [-(rpoint(4525 ^ [_353662, _353664, _353666, _353668]))], (4527 ^ _197713) ^ [] : [-(_353666 = 4525 ^ [_353662, _353664, _353666, _353668])], (4534 ^ _197713) ^ [] : [-(rpoint(4530 ^ [_353662, _353664, _353666, _353668]))], (4522 ^ _197713) ^ [] : [-(_353664 = 4520 ^ [_353662, _353664, _353666, _353668])], (4532 ^ _197713) ^ [] : [-(_353668 = 4530 ^ [_353662, _353664, _353666, _353668])], (4519 ^ _197713) ^ [] : [_353668 = _353666]], vtriangle(_353668, _353666, _353664) = _353662, rtriangle(_353662)], (3514 ^ _197713) ^ [_319254, _319256, _319258, _319260, _319262, _319264, _319266, _319268] : [3562 ^ _197713 : [(3565 ^ _197713) ^ [] : [-(ron(3561 ^ [_319254, _319256, _319258, _319260, _319262, _319264, _319266, _319268], _319264))], (3567 ^ _197713) ^ [] : [-(ron(3561 ^ [_319254, _319256, _319258, _319260, _319262, _319264, _319266, _319268], _319268))], (3569 ^ _197713) ^ [] : [-(rpoint(3561 ^ [_319254, _319256, _319258, _319260, _319262, _319264, _319266, _319268]))], (3563 ^ _197713) ^ [] : [-(rR(_319260, 3561 ^ [_319254, _319256, _319258, _319260, _319262, _319264, _319266, _319268], _319256))]], -(_319256 = _319260), ron(_319256, _319264), _319256 = _319254, rpoint(_319254), ron(_319260, _319264), rinside(_319260, _319268), _319260 = _319258, rpoint(_319258), _319264 = _319262, rline(_319262), _319268 = _319266, rcircle(_319266)], (2865 ^ _197713) ^ [_297813, _297815, _297817, _297819] : [-(rS(_297817, _297819, _297815)), rS(_297819, _297817, _297815), _297815 = _297813, rline(_297813), 2880 ^ _197713 : [(2881 ^ _197713) ^ [_298242] : [_297817 = _298242, rpoint(_298242)]], 2886 ^ _197713 : [(2887 ^ _197713) ^ [_298441] : [_297819 = _298441, rpoint(_298441)]]], (3237 ^ _197713) ^ [_309740, _309742, _309744, _309746] : [ron(_309746, _309742), rinside(_309746, _309742), _309742 = _309740, rcircle(_309740), _309746 = _309744, rpoint(_309744)], (1162 ^ _197713) ^ [_242050, _242052, _242054, _242056, _242058] : [-(_242052 = _242050), vf(_242054, _242058) = vf(_242054, _242056), ron(_242056, _242050), ron(_242058, _242052), rcenter(_242054, _242050), rcenter(_242054, _242052), 1185 ^ _197713 : [(1186 ^ _197713) ^ [_242700] : [_242056 = _242700, rpoint(_242700)]], 1191 ^ _197713 : [(1192 ^ _197713) ^ [_242907] : [_242058 = _242907, rpoint(_242907)]]], (34 ^ _197713) ^ [_198933, _198935, _198937, _198939] : [-(rleq(_198937, _198933)), rleq(_198939, _198935), _198939 = _198937, _198935 = _198933], (146 ^ _197713) ^ [_202489, _202491] : [-(rtriangle(_202489)), _202491 = _202489, rtriangle(_202491)], (3259 ^ _197713) ^ [_310347, _310349] : [rcenter(_310349, _310347), -(rinside(_310349, _310347))], (1376 ^ _197713) ^ [_249239, _249241, _249243] : [1399 ^ _197713 : [(1402 ^ _197713) ^ [] : [-(rleq(v0, vangle(_249243, _249241, _249239)))], (1400 ^ _197713) ^ [] : [-(rleq(vangle(_249243, _249241, _249239), vplus(vperp, vperp)))]], 1379 ^ _197713 : [(1380 ^ _197713) ^ [_249414] : [_249239 = _249414, rpoint(_249414)]], 1387 ^ _197713 : [(1388 ^ _197713) ^ [_249641] : [_249241 = _249641, rpoint(_249641)]], 1393 ^ _197713 : [(1394 ^ _197713) ^ [_249832] : [_249243 = _249832, rpoint(_249832)]]], (1580 ^ _197713) ^ [_256006, _256008, _256010, _256012, _256014, _256016] : [-(rless(vplus(_256016, _256008), vplus(_256012, _256008))), rless(_256016, _256012), _256008 = _256006, rreal(_256006), _256012 = _256010, rreal(_256010), _256016 = _256014, rreal(_256014)], (1680 ^ _197713) ^ [_258956, _258958, _258960, _258962] : [-(rless(_258962, _258958)), -(_258962 = _258958), -(rless(_258958, _258962)), _258958 = _258956, rreal(_258956), _258962 = _258960, rreal(_258960)], (136 ^ _197713) ^ [_202194, _202196] : [-(rline(_202194)), _202196 = _202194, rline(_202196)], (563 ^ _197713) ^ [_222076, _222078, _222080, _222082, _222084] : [606 ^ _197713 : [(613 ^ _197713) ^ [] : [ron(_222080, _222078), -(vg(_222084, _222082, _222080) = v0)], (607 ^ _197713) ^ [] : [vg(_222084, _222082, _222080) = v0, -(ron(_222080, _222078))]], ron(_222082, _222078), ron(_222084, _222078), -(_222084 = _222082), _222078 = _222076, rline(_222076), 586 ^ _197713 : [(587 ^ _197713) ^ [_222741] : [_222080 = _222741, rpoint(_222741)]], 594 ^ _197713 : [(595 ^ _197713) ^ [_222988] : [_222082 = _222988, rpoint(_222988)]], 600 ^ _197713 : [(601 ^ _197713) ^ [_223195] : [_222084 = _223195, rpoint(_223195)]]], (3265 ^ _197713) ^ [_310585, _310587, _310589, _310591] : [-(_310587 = _310585), rcenter(_310585, _310591), rcenter(_310587, _310591), _310591 = _310589, rcircle(_310589)], (4536 ^ _197713) ^ [_354848, _354850] : [rcenter(_354850, _354848), 4541 ^ _197713 : [(4544 ^ _197713) ^ [] : [-(rcircle(4540 ^ [_354848, _354850]))], (4546 ^ _197713) ^ [] : [-(_354850 = 4539 ^ [_354848, _354850])], (4548 ^ _197713) ^ [] : [-(rpoint(4539 ^ [_354848, _354850]))], (4542 ^ _197713) ^ [] : [-(_354848 = 4540 ^ [_354848, _354850])]]], (1474 ^ _197713) ^ [_252500, _252502] : [1477 ^ _197713 : [(1478 ^ _197713) ^ [_252650] : [_252500 = _252650, rpoint(_252650)]], 1483 ^ _197713 : [(1484 ^ _197713) ^ [_252833] : [_252502 = _252833, rpoint(_252833)]], 1489 ^ _197713 : [(1496 ^ _197713) ^ [] : [_252502 = _252500, -(vf(_252502, _252500) = v0)], (1490 ^ _197713) ^ [] : [vf(_252502, _252500) = v0, -(_252502 = _252500)]]], (4218 ^ _197713) ^ [_343549, _343551, _343553, _343555] : [4254 ^ _197713 : [(4257 ^ _197713) ^ [] : [-(rpoint(4253 ^ [_343549, _343551, _343553, _343555]))], (4255 ^ _197713) ^ [] : [-(rR(4253 ^ [_343549, _343551, _343553, _343555], _343551, _343549))]], -(_343551 = _343549), ron(_343549, _343555), ron(_343551, _343555), 4233 ^ _197713 : [(4234 ^ _197713) ^ [_344002] : [_343549 = _344002, rpoint(_344002)]], 4241 ^ _197713 : [(4242 ^ _197713) ^ [_344239] : [_343551 = _344239, rpoint(_344239)]], _343555 = _343553, rline(_343553)], (4057 ^ _197713) ^ [_338043, _338045, _338047, _338049] : [4093 ^ _197713 : [(4096 ^ _197713) ^ [] : [-(rpoint(4092 ^ [_338043, _338045, _338047, _338049]))], (4094 ^ _197713) ^ [] : [-(rR(_338043, _338045, 4092 ^ [_338043, _338045, _338047, _338049]))]], -(_338045 = _338043), ron(_338043, _338049), ron(_338045, _338049), 4072 ^ _197713 : [(4073 ^ _197713) ^ [_338496] : [_338043 = _338496, rpoint(_338496)]], 4080 ^ _197713 : [(4081 ^ _197713) ^ [_338733] : [_338045 = _338733, rpoint(_338733)]], _338049 = _338047, rline(_338047)], (3394 ^ _197713) ^ [_314901, _314903, _314905, _314907, _314909, _314911, _314913] : [3442 ^ _197713 : [(3445 ^ _197713) ^ [] : [-(ron(3441 ^ [_314901, _314903, _314905, _314907, _314909, _314911, _314913], _314911))], (3447 ^ _197713) ^ [] : [-(ron(3441 ^ [_314901, _314903, _314905, _314907, _314909, _314911, _314913], _314913))], (3449 ^ _197713) ^ [] : [-(rpoint(3441 ^ [_314901, _314903, _314905, _314907, _314909, _314911, _314913]))], (3443 ^ _197713) ^ [] : [-(rS(3441 ^ [_314901, _314903, _314905, _314907, _314909, _314911, _314913], _314901, _314909))]], -(ron(_314901, _314909)), ron(_314903, _314909), ron(_314905, _314909), rcenter(_314903, _314911), rcenter(_314905, _314913), rintersect(_314913, _314911), _314909 = _314907, rline(_314907), 3429 ^ _197713 : [(3430 ^ _197713) ^ [_315926] : [_314911 = _315926, rcircle(_315926)]], 3435 ^ _197713 : [(3436 ^ _197713) ^ [_316149] : [_314913 = _316149, rcircle(_316149)]]], (1553 ^ _197713) ^ [_255032, _255034] : [1573 ^ _197713 : [(1578 ^ _197713) ^ [] : [-(rcircle(1572 ^ [_255032, _255034]))], (1576 ^ _197713) ^ [] : [-(rcenter(_255034, 1572 ^ [_255032, _255034]))], (1574 ^ _197713) ^ [] : [-(ron(_255032, 1572 ^ [_255032, _255034]))]], -(_255034 = _255032), 1560 ^ _197713 : [(1561 ^ _197713) ^ [_255277] : [_255032 = _255277, rpoint(_255277)]], 1566 ^ _197713 : [(1567 ^ _197713) ^ [_255460] : [_255034 = _255460, rpoint(_255460)]]], (2 ^ _197713) ^ [_197837] : [-(_197837 = _197837)], (1706 ^ _197713) ^ [_259693, _259695, _259697, _259699] : [-(vplus(_259699, _259695) = vplus(_259695, _259699)), _259695 = _259693, rreal(_259693), _259699 = _259697, rreal(_259697)], (1502 ^ _197713) ^ [_253358, _253360] : [1518 ^ _197713 : [(1521 ^ _197713) ^ [] : [-(rreal(1517 ^ [_253358, _253360]))], (1519 ^ _197713) ^ [] : [-(vf(_253360, _253358) = 1517 ^ [_253358, _253360])]], 1505 ^ _197713 : [(1506 ^ _197713) ^ [_253512] : [_253358 = _253512, rpoint(_253512)]], 1511 ^ _197713 : [(1512 ^ _197713) ^ [_253695] : [_253360 = _253695, rpoint(_253695)]]], (242 ^ _197713) ^ [_205693, _205695, _205697, _205699] : [-(vplus(_205699, _205695) = vplus(_205697, _205693)), _205699 = _205697, _205695 = _205693], (218 ^ _197713) ^ [_204846, _204848, _204850, _204852, _204854, _204856] : [-(vangle(_204856, _204852, _204848) = vangle(_204854, _204850, _204846)), _204856 = _204854, _204852 = _204850, _204848 = _204846], (3764 ^ _197713) ^ [_327933, _327935] : [3772 ^ _197713 : [(3775 ^ _197713) ^ [] : [-(rpoint(3771 ^ [_327933, _327935]))], (3773 ^ _197713) ^ [] : [-(rinside(3771 ^ [_327933, _327935], _327935))]], _327935 = _327933, rcircle(_327933)], (1610 ^ _197713) ^ [_256932, _256934, _256936, _256938, _256940, _256942] : [-(rless(_256942, _256934)), rless(_256938, _256934), rless(_256942, _256938), _256934 = _256932, rreal(_256932), _256938 = _256936, rreal(_256936), _256942 = _256940, rreal(_256940)], (1404 ^ _197713) ^ [_250213, _250215, _250217] : [-(vangle(_250217, _250215, _250213) = vangle(_250213, _250215, _250217)), -(_250217 = _250213), -(_250217 = _250215), 1415 ^ _197713 : [(1416 ^ _197713) ^ [_250566] : [_250213 = _250566, rpoint(_250566)]], 1423 ^ _197713 : [(1424 ^ _197713) ^ [_250793] : [_250215 = _250793, rpoint(_250793)]], 1429 ^ _197713 : [(1430 ^ _197713) ^ [_250984] : [_250217 = _250984, rpoint(_250984)]]], (1654 ^ _197713) ^ [_258221, _258223, _258225, _258227] : [rless(_258223, _258227), -(_258227 = _258223), rless(_258227, _258223), _258223 = _258221, rreal(_258221), _258227 = _258225, rreal(_258225)], (760 ^ _197713) ^ [_228880, _228882, _228884, _228886, _228888, _228890, _228892] : [-(vangle(_228890, _228892, _228888) = vangle(_228886, _228892, _228884)), -(rR(_228892, _228888, _228884)), -(rR(_228892, _228890, _228886)), -(_228884 = _228892), -(_228886 = _228892), -(_228888 = _228892), -(_228890 = _228892), ron(_228884, _228880), ron(_228888, _228880), ron(_228886, _228882), ron(_228890, _228882), ron(_228892, _228882), 807 ^ _197713 : [(808 ^ _197713) ^ [_230306] : [_228880 = _230306, rline(_230306)]], 815 ^ _197713 : [(816 ^ _197713) ^ [_230573] : [_228882 = _230573, rline(_230573)]], 823 ^ _197713 : [(824 ^ _197713) ^ [_230840] : [_228884 = _230840, rpoint(_230840)]], 831 ^ _197713 : [(832 ^ _197713) ^ [_231107] : [_228886 = _231107, rpoint(_231107)]], 839 ^ _197713 : [(840 ^ _197713) ^ [_231374] : [_228888 = _231374, rpoint(_231374)]], 847 ^ _197713 : [(848 ^ _197713) ^ [_231641] : [_228890 = _231641, rpoint(_231641)]], 853 ^ _197713 : [(854 ^ _197713) ^ [_231864] : [_228892 = _231864, rpoint(_231864)]]], (3487 ^ _197713) ^ [_318307, _318309, _318311, _318313] : [3507 ^ _197713 : [(3512 ^ _197713) ^ [] : [-(rpoint(3506 ^ [_318307, _318309, _318311, _318313]))], (3510 ^ _197713) ^ [] : [-(ron(3506 ^ [_318307, _318309, _318311, _318313], _318313))], (3508 ^ _197713) ^ [] : [-(ron(3506 ^ [_318307, _318309, _318311, _318313], _318309))]], rintersect(_318313, _318309), _318309 = _318307, rcircle(_318307), _318313 = _318311, rcircle(_318311)]], input).
% 43.56/42.80  ncf('1',plain,[-(rcenter(vd1055, 4549 ^ []))],start(4553 ^ 0)).
% 43.56/42.80  ncf('1.1',plain,[rcenter(vd1055, 4549 ^ []), 1156 : ron(vd1057, 4549 ^ []), 1156 : -(vf(vd1055, vd1057) = vf(vd1055, vd1057)), 1156 : ron(vd1057, 4549 ^ []), 1156 : vd1057 = vd1058, 1156 : rpoint(vd1058), 1156 : vd1057 = vd1058, 1156 : rpoint(vd1058)],extension(1126 ^ 1,bind([[_240945, _240947, _240949, _240951, _240953, _240955], [vd1058, vd1057, 4549 ^ [], vd1055, vd1058, vd1057]]))).
% 43.56/42.80  ncf('1.1.1',plain,[-(ron(vd1057, 4549 ^ []))],extension(4551 ^ 4)).
% 43.56/42.80  ncf('1.1.2',plain,[vf(vd1055, vd1057) = vf(vd1055, vd1057), -(4549 ^ [] = vd1061), ron(vd1057, vd1061), ron(vd1057, 4549 ^ []), rcenter(vd1055, vd1061), rcenter(vd1055, 4549 ^ []), 1186 : vd1057 = vd1058, 1186 : rpoint(vd1058), 1192 : vd1057 = vd1058, 1192 : rpoint(vd1058)],extension(1162 ^ 4,bind([[_242050, _242052, _242054, _242056, _242058, _242700, _242907], [vd1061, 4549 ^ [], vd1055, vd1057, vd1057, vd1058, vd1058]]))).
% 43.56/42.80  ncf('1.1.2.1',plain,[4549 ^ [] = vd1061],extension(4557 ^ 5)).
% 43.56/42.80  ncf('1.1.2.2',plain,[-(ron(vd1057, vd1061))],extension(266 ^ 5)).
% 43.56/42.80  ncf('1.1.2.3',plain,[-(ron(vd1057, 4549 ^ []))],lemmata('[1].x')).
% 43.56/42.80  ncf('1.1.2.4',plain,[-(rcenter(vd1055, vd1061))],extension(268 ^ 5)).
% 43.56/42.80  ncf('1.1.2.5',plain,[-(rcenter(vd1055, 4549 ^ []))],reduction('1')).
% 43.56/42.80  ncf('1.1.2.6',plain,[-(vd1057 = vd1058)],extension(272 ^ 7)).
% 43.56/42.80  ncf('1.1.2.7',plain,[-(rpoint(vd1058))],extension(276 ^ 7)).
% 43.56/42.80  ncf('1.1.2.8',plain,[-(vd1057 = vd1058)],extension(272 ^ 7)).
% 43.56/42.80  ncf('1.1.2.9',plain,[-(rpoint(vd1058))],extension(276 ^ 7)).
% 43.56/42.80  ncf('1.1.3',plain,[-(ron(vd1057, 4549 ^ []))],extension(4551 ^ 2)).
% 43.56/42.80  ncf('1.1.4',plain,[-(vd1057 = vd1058)],extension(272 ^ 2)).
% 43.56/42.80  ncf('1.1.5',plain,[-(rpoint(vd1058))],extension(276 ^ 2)).
% 43.56/42.80  ncf('1.1.6',plain,[-(vd1057 = vd1058)],extension(272 ^ 2)).
% 43.56/42.80  ncf('1.1.7',plain,[-(rpoint(vd1058))],lemmata('[1].x')).
% 43.56/42.80  %-----------------------------------------------------
% 43.56/42.80  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------