TSTP Solution File: GEO307+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO307+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n020.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 11:12:26 EDT 2023
% Result : Theorem 55.76s 54.26s
% Output : Proof 55.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO307+1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 19 04:08:17 EDT 2023
% 0.12/0.34 % CPUTime :
% 55.76/54.26
% 55.76/54.26 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 55.76/54.26 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 55.76/54.26 %-----------------------------------------------------
% 55.76/54.26 ncf(matrix, plain, [(5230 ^ _117611) ^ [] : [vangle(vd1288, vd1287, vd1289) = vangle(vd1288, vd1287, vd1306)], !, (4119 ^ _31489) ^ [_95858, _95860, _95862, _95864, _95866] : [4163 ^ _31489 : [(4168 ^ _31489) ^ [] : [-(rpoint(4162 ^ [_95858, _95860, _95862, _95864, _95866]))], (4166 ^ _31489) ^ [] : [-(rR(4162 ^ [_95858, _95860, _95862, _95864, _95866], _95862, _95860))], (4164 ^ _31489) ^ [] : [4162 ^ [_95858, _95860, _95862, _95864, _95866] = _95858]], rR(_95858, _95862, _95860), ron(_95860, _95866), ron(_95862, _95866), 4134 ^ _31489 : [(4135 ^ _31489) ^ [_96162] : [_95858 = _96162, rpoint(_96162)]], 4142 ^ _31489 : [(4143 ^ _31489) ^ [_96272] : [_95860 = _96272, rpoint(_96272)]], 4150 ^ _31489 : [(4151 ^ _31489) ^ [_96382] : [_95862 = _96382, rpoint(_96382)]], _95866 = _95864, rline(_95864)], (358 ^ _31489) ^ [] : [vd1287 = vd1288], (569 ^ _31489) ^ [] : [vd1299 = vd1287], (4170 ^ _31489) ^ [_96695, _96697, _96699, _96701] : [4206 ^ _31489 : [(4209 ^ _31489) ^ [] : [-(rpoint(4205 ^ [_96695, _96697, _96699, _96701]))], (4207 ^ _31489) ^ [] : [-(rR(4205 ^ [_96695, _96697, _96699, _96701], _96697, _96695))]], -(_96697 = _96695), ron(_96695, _96701), ron(_96697, _96701), 4185 ^ _31489 : [(4186 ^ _31489) ^ [_96966] : [_96695 = _96966, rpoint(_96966)]], 4193 ^ _31489 : [(4194 ^ _31489) ^ [_97072] : [_96697 = _97072, rpoint(_97072)]], _96701 = _96699, rline(_96699)], (1870 ^ _31489) ^ [] : [-(v0 = vd684)], (336 ^ _31489) ^ [] : [rR(vd1287, vd1289, vd1306)], (3081 ^ _31489) ^ [_79255, _79257, _79259, _79261, _79263] : [-(rS(_79261, _79259, _79257)), -(ron(_79261, _79257)), ron(_79263, _79257), rR(_79261, _79263, _79259), _79257 = _79255, rline(_79255), 3104 ^ _31489 : [(3105 ^ _31489) ^ [_79643] : [_79259 = _79643, rpoint(_79643)]], 3112 ^ _31489 : [(3113 ^ _31489) ^ [_79753] : [_79261 = _79753, rpoint(_79753)]], 3118 ^ _31489 : [(3119 ^ _31489) ^ [_79836] : [_79263 = _79836, rpoint(_79836)]]], (4488 ^ _31489) ^ [_101876, _101878, _101880, _101882, _101884, _101886, _101888, _101890, _101892, _101894, _101896, _101898, _101900, _101902, _101904, _101906, _101908, _101910] : [4684 ^ _31489 : [(4687 ^ _31489) ^ [] : [-(vf(_101898, _101896) = vf(_101894, _101892))], (4685 ^ _31489) ^ [] : [-(vangle(_101890, _101888, _101886) = vangle(_101884, _101882, _101880))]], _101878 = _101876, 4498 ^ _31489 : [(4521 ^ _31489) ^ [] : [-(rpoint(4496 ^ [_101876, _101878, _101880, _101882, _101884, _101886, _101888, _101890, _101892, _101894, _101896, _101898, _101900, _101902, _101904, _101906, _101908, _101910]))], (4511 ^ _31489) ^ [] : [-(vangle(4495 ^ [_101876, _101878, _101880, _101882, _101884, _101886, _101888, _101890, _101892, _101894, _101896, _101898, _101900, _101902, _101904, _101906, _101908, _101910], 4497 ^ [_101876, _101878, _101880, _101882, _101884, _101886, _101888, _101890, _101892, _101894, _101896, _101898, _101900, _101902, _101904, _101906, _101908, _101910], 4496 ^ [_101876, _101878, _101880, _101882, _101884, _101886, _101888, _101890, _101892, _101894, _101896, _101898, _101900, _101902, _101904, _101906, _101908, _101910]) = vangle(_101910, _101906, _101908))], (4509 ^ _31489) ^ [] : [-(vf(_101910, _101908) = vf(4495 ^ [_101876, _101878, _101880, _101882, _101884, _101886, _101888, _101890, _101892, _101894, _101896, _101898, _101900, _101902, _101904, _101906, _101908, _101910], 4496 ^ [_101876, _101878, _101880, _101882, _101884, _101886, _101888, _101890, _101892, _101894, _101896, _101898, _101900, _101902, _101904, _101906, _101908, _101910]))], (4501 ^ _31489) ^ [] : [rR(_101904, 4496 ^ [_101876, _101878, _101880, _101882, _101884, _101886, _101888, _101890, _101892, _101894, _101896, _101898, _101900, _101902, _101904, _101906, _101908, _101910], _101902)], (4517 ^ _31489) ^ [] : [-(4495 ^ [_101876, _101878, _101880, _101882, _101884, _101886, _101888, _101890, _101892, _101894, _101896, _101898, _101900, _101902, _101904, _101906, _101908, _101910] = _101904)], (4507 ^ _31489) ^ [] : [-(vf(_101908, _101906) = vf(4496 ^ [_101876, _101878, _101880, _101882, _101884, _101886, _101888, _101890, _101892, _101894, _101896, _101898, _101900, _101902, _101904, _101906, _101908, _101910], 4497 ^ [_101876, _101878, _101880, _101882, _101884, _101886, _101888, _101890, _101892, _101894, _101896, _101898, _101900, _101902, _101904, _101906, _101908, _101910]))], (4499 ^ _31489) ^ [] : [-(rS(4497 ^ [_101876, _101878, _101880, _101882, _101884, _101886, _101888, _101890, _101892, _101894, _101896, _101898, _101900, _101902, _101904, _101906, _101908, _101910], _101900, _101878))], (4513 ^ _31489) ^ [] : [-(vangle(4496 ^ [_101876, _101878, _101880, _101882, _101884, _101886, _101888, _101890, _101892, _101894, _101896, _101898, _101900, _101902, _101904, _101906, _101908, _101910], 4495 ^ [_101876, _101878, _101880, _101882, _101884, _101886, _101888, _101890, _101892, _101894, _101896, _101898, _101900, _101902, _101904, _101906, _101908, _101910], 4497 ^ [_101876, _101878, _101880, _101882, _101884, _101886, _101888, _101890, _101892, _101894, _101896, _101898, _101900, _101902, _101904, _101906, _101908, _101910]) = vangle(_101908, _101910, _101906))], (4523 ^ _31489) ^ [] : [-(rpoint(4495 ^ [_101876, _101878, _101880, _101882, _101884, _101886, _101888, _101890, _101892, _101894, _101896, _101898, _101900, _101902, _101904, _101906, _101908, _101910]))], (4519 ^ _31489) ^ [] : [-(rpoint(4497 ^ [_101876, _101878, _101880, _101882, _101884, _101886, _101888, _101890, _101892, _101894, _101896, _101898, _101900, _101902, _101904, _101906, _101908, _101910]))], (4503 ^ _31489) ^ [] : [-(ron(4496 ^ [_101876, _101878, _101880, _101882, _101884, _101886, _101888, _101890, _101892, _101894, _101896, _101898, _101900, _101902, _101904, _101906, _101908, _101910], _101878))], (4525 ^ _31489) ^ [] : [vangle(_101890, _101888, _101886) = vangle(_101884, _101882, _101880), vf(_101898, _101896) = vf(_101894, _101892)], (4505 ^ _31489) ^ [] : [-(vf(_101910, _101906) = vf(4495 ^ [_101876, _101878, _101880, _101882, _101884, _101886, _101888, _101890, _101892, _101894, _101896, _101898, _101900, _101902, _101904, _101906, _101908, _101910], 4497 ^ [_101876, _101878, _101880, _101882, _101884, _101886, _101888, _101890, _101892, _101894, _101896, _101898, _101900, _101902, _101904, _101906, _101908, _101910]))], (4515 ^ _31489) ^ [] : [-(vangle(4497 ^ [_101876, _101878, _101880, _101882, _101884, _101886, _101888, _101890, _101892, _101894, _101896, _101898, _101900, _101902, _101904, _101906, _101908, _101910], 4496 ^ [_101876, _101878, _101880, _101882, _101884, _101886, _101888, _101890, _101892, _101894, _101896, _101898, _101900, _101902, _101904, _101906, _101908, _101910], 4495 ^ [_101876, _101878, _101880, _101882, _101884, _101886, _101888, _101890, _101892, _101894, _101896, _101898, _101900, _101902, _101904, _101906, _101908, _101910]) = vangle(_101906, _101908, _101910))]], -(ron(_101900, _101878)), ron(_101902, _101878), ron(_101904, _101878), rline(_101876), 4548 ^ _31489 : [(4549 ^ _31489) ^ [_104968] : [_101880 = _104968, rpoint(_104968)]], 4556 ^ _31489 : [(4557 ^ _31489) ^ [_105130] : [_101882 = _105130, rpoint(_105130)]], 4564 ^ _31489 : [(4565 ^ _31489) ^ [_105292] : [_101884 = _105292, rpoint(_105292)]], 4572 ^ _31489 : [(4573 ^ _31489) ^ [_105454] : [_101886 = _105454, rpoint(_105454)]], 4580 ^ _31489 : [(4581 ^ _31489) ^ [_105616] : [_101888 = _105616, rpoint(_105616)]], 4588 ^ _31489 : [(4589 ^ _31489) ^ [_105778] : [_101890 = _105778, rpoint(_105778)]], 4596 ^ _31489 : [(4597 ^ _31489) ^ [_105940] : [_101892 = _105940, rpoint(_105940)]], 4604 ^ _31489 : [(4605 ^ _31489) ^ [_106102] : [_101894 = _106102, rpoint(_106102)]], 4612 ^ _31489 : [(4613 ^ _31489) ^ [_106264] : [_101896 = _106264, rpoint(_106264)]], 4620 ^ _31489 : [(4621 ^ _31489) ^ [_106426] : [_101898 = _106426, rpoint(_106426)]], 4628 ^ _31489 : [(4629 ^ _31489) ^ [_106588] : [_101900 = _106588, rpoint(_106588)]], 4636 ^ _31489 : [(4637 ^ _31489) ^ [_106750] : [_101902 = _106750, rpoint(_106750)]], 4644 ^ _31489 : [(4645 ^ _31489) ^ [_106912] : [_101904 = _106912, rpoint(_106912)]], -(_101908 = _101906), -(_101910 = _101906), -(_101910 = _101908), 4664 ^ _31489 : [(4665 ^ _31489) ^ [_107305] : [_101906 = _107305, rpoint(_107305)]], 4672 ^ _31489 : [(4673 ^ _31489) ^ [_107467] : [_101908 = _107467, rpoint(_107467)]], 4678 ^ _31489 : [(4679 ^ _31489) ^ [_107576] : [_101910 = _107576, rpoint(_107576)]]], (571 ^ _31489) ^ [] : [-(ron(vd1306, vd1297))], (3527 ^ _31489) ^ [_86250, _86252, _86254, _86256] : [3547 ^ _31489 : [(3552 ^ _31489) ^ [] : [-(rpoint(3546 ^ [_86250, _86252, _86254, _86256]))], (3550 ^ _31489) ^ [] : [-(ron(3546 ^ [_86250, _86252, _86254, _86256], _86256))], (3548 ^ _31489) ^ [] : [-(ron(3546 ^ [_86250, _86252, _86254, _86256], _86252))]], rintersect(_86256, _86252), _86252 = _86250, rcircle(_86250), _86256 = _86254, rcircle(_86254)], (1664 ^ _31489) ^ [_57116, _57118, _57120, _57122] : [-(_57118 = _57116), ron(_57120, _57116), ron(_57120, _57118), ron(_57122, _57116), ron(_57122, _57118), 1683 ^ _31489 : [(1684 ^ _31489) ^ [_57456] : [_57116 = _57456, rline(_57456)]], 1691 ^ _31489 : [(1692 ^ _31489) ^ [_57562] : [_57118 = _57562, rline(_57562)]], -(_57122 = _57120), 1703 ^ _31489 : [(1704 ^ _31489) ^ [_57717] : [_57120 = _57717, rpoint(_57717)]], 1709 ^ _31489 : [(1710 ^ _31489) ^ [_57798] : [_57122 = _57798, rpoint(_57798)]]], (897 ^ _31489) ^ [_45044, _45046] : [913 ^ _31489 : [(916 ^ _31489) ^ [] : [-(rreal(912 ^ [_45044, _45046]))], (914 ^ _31489) ^ [] : [-(vf(_45046, _45044) = 912 ^ [_45044, _45046])]], 900 ^ _31489 : [(901 ^ _31489) ^ [_45133] : [_45044 = _45133, rpoint(_45133)]], 906 ^ _31489 : [(907 ^ _31489) ^ [_45210] : [_45046 = _45210, rpoint(_45210)]]], (363 ^ _31489) ^ [] : [-(rpoint(359 ^ []))], (3797 ^ _31489) ^ [_90512, _90514] : [3805 ^ _31489 : [(3808 ^ _31489) ^ [] : [-(rpoint(3804 ^ [_90512, _90514]))], (3806 ^ _31489) ^ [] : [-(ron(3804 ^ [_90512, _90514], _90514))]], _90514 = _90512, rcircle(_90512)], (338 ^ _31489) ^ [] : [rR(vd1287, vd1288, vd1299)], (2411 ^ _31489) ^ [_68312, _68314, _68316, _68318, _68320, _68322, _68324, _68326] : [rS(_68322, _68320, _68314), ron(_68316, _68314), ron(_68318, _68314), _68314 = _68312, rline(_68312), rcenter(_68316, _68324), rcenter(_68318, _68326), -(_68322 = _68320), ron(_68320, _68324), ron(_68320, _68326), ron(_68322, _68324), ron(_68322, _68326), 2458 ^ _31489 : [(2459 ^ _31489) ^ [_69144] : [_68320 = _69144, rpoint(_69144)]], 2466 ^ _31489 : [(2467 ^ _31489) ^ [_69266] : [_68322 = _69266, rpoint(_69266)]], rintersect(_68326, _68324), -(_68326 = _68324), 2482 ^ _31489 : [(2483 ^ _31489) ^ [_69501] : [_68324 = _69501, rcircle(_69501)]], 2488 ^ _31489 : [(2489 ^ _31489) ^ [_69590] : [_68326 = _69590, rcircle(_69590)]]], (2497 ^ _31489) ^ [_69744, _69746, _69748, _69750, _69752] : [2542 ^ _31489 : [(2545 ^ _31489) ^ [] : [ron(_69750, _69746)], (2543 ^ _31489) ^ [] : [ron(_69750, _69746)]], rR(_69748, _69752, _69750), -(rinside(_69748, _69746)), 2508 ^ _31489 : [(2511 ^ _31489) ^ [] : [rinside(_69752, _69746)], (2509 ^ _31489) ^ [] : [ron(_69752, _69746)]], _69746 = _69744, rcircle(_69744), 2522 ^ _31489 : [(2523 ^ _31489) ^ [_70177] : [_69748 = _70177, rpoint(_70177)]], 2530 ^ _31489 : [(2531 ^ _31489) ^ [_70287] : [_69750 = _70287, rpoint(_70287)]], 2536 ^ _31489 : [(2537 ^ _31489) ^ [_70370] : [_69752 = _70370, rpoint(_70370)]]], (561 ^ _31489) ^ [] : [vd1299 = vd1287], (2142 ^ _31489) ^ [_64358, _64360, _64362, _64364] : [-(rless(_64364, _64360)), -(_64364 = _64360), -(rless(_64360, _64364)), _64360 = _64358, rreal(_64358), _64364 = _64362, rreal(_64362)], (4444 ^ _31489) ^ [_101215, _101217] : [4452 ^ _31489 : [(4455 ^ _31489) ^ [] : [-(rpoint(4451 ^ [_101215, _101217]))], (4453 ^ _31489) ^ [] : [4451 ^ [_101215, _101217] = _101217]], _101217 = _101215, rpoint(_101215)], (2313 ^ _31489) ^ [_66788, _66790, _66792, _66794] : [-(rintersect(2361 ^ [_66788, _66790, _66792, _66794], _66790)), -(rS(_66794, _66792, 2316 ^ [_66788, _66790, _66792, _66794])), 2321 ^ _31489 : [(2324 ^ _31489) ^ [] : [rinside(_66792, _66790)], (2322 ^ _31489) ^ [] : [ron(_66792, _66790)]], 2327 ^ _31489 : [(2330 ^ _31489) ^ [] : [rinside(_66794, _66790)], (2328 ^ _31489) ^ [] : [ron(_66794, _66790)]], 2333 ^ _31489 : [(2334 ^ _31489) ^ [_67164] : [_66788 = _67164, rcircle(_67164)]], 2341 ^ _31489 : [(2342 ^ _31489) ^ [_67270] : [_66790 = _67270, rcircle(_67270)]], 2349 ^ _31489 : [(2350 ^ _31489) ^ [_67376] : [_66792 = _67376, rpoint(_67376)]], 2355 ^ _31489 : [(2356 ^ _31489) ^ [_67457] : [_66794 = _67457, rpoint(_67457)]]], (565 ^ _31489) ^ [] : [-(vf(vd1287, vd1299) = vf(vd1287, vd1306))], (1040 ^ _31489) ^ [_47326, _47328, _47330, _47332, _47334, _47336] : [-(vangle(_47336, _47334, _47332) = vangle(_47330, _47328, _47326)), 1044 ^ _31489 : [(1047 ^ _31489) ^ [] : [-(ron(_47328, 1043 ^ [_47326, _47328, _47330, _47332, _47334, _47336]))], (1049 ^ _31489) ^ [] : [-(ron(_47330, 1043 ^ [_47326, _47328, _47330, _47332, _47334, _47336]))], (1051 ^ _31489) ^ [] : [-(rline(1043 ^ [_47326, _47328, _47330, _47332, _47334, _47336]))], (1045 ^ _31489) ^ [] : [-(ron(_47326, 1043 ^ [_47326, _47328, _47330, _47332, _47334, _47336]))]], vangle(_47334, _47336, _47332) = vangle(_47328, _47330, _47326), vf(_47336, _47332) = vf(_47330, _47326), vf(_47336, _47334) = vf(_47330, _47328), 1066 ^ _31489 : [(1067 ^ _31489) ^ [_47924] : [_47326 = _47924, rpoint(_47924)]], 1074 ^ _31489 : [(1075 ^ _31489) ^ [_48038] : [_47328 = _48038, rpoint(_48038)]], 1082 ^ _31489 : [(1083 ^ _31489) ^ [_48152] : [_47330 = _48152, rpoint(_48152)]], -(_47334 = _47332), -(_47336 = _47332), -(_47336 = _47334), 1102 ^ _31489 : [(1103 ^ _31489) ^ [_48425] : [_47332 = _48425, rpoint(_48425)]], 1110 ^ _31489 : [(1111 ^ _31489) ^ [_48539] : [_47334 = _48539, rpoint(_48539)]], 1116 ^ _31489 : [(1117 ^ _31489) ^ [_48624] : [_47336 = _48624, rpoint(_48624)]]], (190 ^ _31489) ^ [_34066, _34068, _34070, _34072] : [-(rleq(_34070, _34066)), rleq(_34072, _34068), _34072 = _34070, _34068 = _34066], (453 ^ _31489) ^ [] : [vd1306 = vd1287], (86 ^ _31489) ^ [_32654, _32656] : [-(rreal(_32654)), _32656 = _32654, rreal(_32656)], (1874 ^ _31489) ^ [_60301, _60303, _60305, _60307, _60309, _60311, _60313, _60315] : [1926 ^ _31489 : [(1929 ^ _31489) ^ [] : [-(ron(1925 ^ [_60301, _60303, _60305, _60307, _60309, _60311, _60313, _60315], _60315))], (1931 ^ _31489) ^ [] : [-(ron(1925 ^ [_60301, _60303, _60305, _60307, _60309, _60311, _60313, _60315], _60311))], (1933 ^ _31489) ^ [] : [-(rpoint(1925 ^ [_60301, _60303, _60305, _60307, _60309, _60311, _60313, _60315]))], (1927 ^ _31489) ^ [] : [-(rR(1925 ^ [_60301, _60303, _60305, _60307, _60309, _60311, _60313, _60315], _60307, _60303))]], ron(_60303, _60311), -(ron(_60303, _60315)), -(rinside(_60303, _60315)), _60303 = _60301, rpoint(_60301), ron(_60307, _60311), rinside(_60307, _60315), _60307 = _60305, rpoint(_60305), _60311 = _60309, rline(_60309), _60315 = _60313, rcircle(_60313)], (1718 ^ _31489) ^ [_57928, _57930] : [-(_57930 = _57928), 1725 ^ _31489 : [(1726 ^ _31489) ^ [_58105] : [_57928 = _58105, rpoint(_58105)]], 1731 ^ _31489 : [(1732 ^ _31489) ^ [_58182] : [_57930 = _58182, rpoint(_58182)]], 1737 ^ _31489 : [(1738 ^ _31489) ^ [_58267, _58269] : [-(vf(_57930, _57928) = vf(_58269, vskolem1078(_58269, _58267, _57930, _57928))), _58269 = _58267, -(_58269 = _57928), -(_58269 = _57930), rpoint(_58267)]]], (4989 ^ _31489) ^ [_112664, _112666, _112668] : [5012 ^ _31489 : [(5015 ^ _31489) ^ [] : [-(vg(_112668, _112666, _112664) = vg(_112664, _112668, _112666))], (5013 ^ _31489) ^ [] : [-(vg(_112668, _112666, _112664) = vg(_112668, _112664, _112666))]], 4992 ^ _31489 : [(4993 ^ _31489) ^ [_112782] : [_112664 = _112782, rpoint(_112782)]], 5000 ^ _31489 : [(5001 ^ _31489) ^ [_112884] : [_112666 = _112884, rpoint(_112884)]], 5006 ^ _31489 : [(5007 ^ _31489) ^ [_112963] : [_112668 = _112963, rpoint(_112963)]]], (918 ^ _31489) ^ [_45354, _45356] : [rless(_45356, _45356), _45356 = _45354, rreal(_45354)], (366 ^ _31489) ^ [] : [-(vd1288 = 364 ^ [])], (1504 ^ _31489) ^ [_54799, _54801, _54803, _54805] : [ron(_54805, _54801), rS(_54805, _54803, _54801), _54801 = _54799, rline(_54799), 1519 ^ _31489 : [(1520 ^ _31489) ^ [_55047] : [_54803 = _55047, rpoint(_55047)]], 1525 ^ _31489 : [(1526 ^ _31489) ^ [_55128] : [_54805 = _55128, rpoint(_55128)]]], (1872 ^ _31489) ^ [] : [-(rreal(vd684))], (1860 ^ _31489) ^ [_60132, _60134] : [-(vplus(_60134, v0) = _60134), _60134 = _60132, rreal(_60132)], (3295 ^ _31489) ^ [_82508, _82510, _82512, _82514] : [-(rS(_82514, _82514, _82510)), -(ron(_82514, _82510)), _82510 = _82508, rline(_82508), _82514 = _82512, rpoint(_82512)], (3434 ^ _31489) ^ [_84702, _84704, _84706, _84708, _84710, _84712, _84714] : [3482 ^ _31489 : [(3485 ^ _31489) ^ [] : [-(ron(3481 ^ [_84702, _84704, _84706, _84708, _84710, _84712, _84714], _84712))], (3487 ^ _31489) ^ [] : [-(ron(3481 ^ [_84702, _84704, _84706, _84708, _84710, _84712, _84714], _84714))], (3489 ^ _31489) ^ [] : [-(rpoint(3481 ^ [_84702, _84704, _84706, _84708, _84710, _84712, _84714]))], (3483 ^ _31489) ^ [] : [-(rS(3481 ^ [_84702, _84704, _84706, _84708, _84710, _84712, _84714], _84702, _84710))]], -(ron(_84702, _84710)), ron(_84704, _84710), ron(_84706, _84710), rcenter(_84704, _84712), rcenter(_84706, _84714), rintersect(_84714, _84712), _84710 = _84708, rline(_84708), 3469 ^ _31489 : [(3470 ^ _31489) ^ [_85302] : [_84712 = _85302, rcircle(_85302)]], 3475 ^ _31489 : [(3476 ^ _31489) ^ [_85389] : [_84714 = _85389, rcircle(_85389)]]], (3223 ^ _31489) ^ [_81410, _81412, _81414, _81416, _81418] : [-(rS(_81416, _81414, _81412)), rS(_81418, _81414, _81412), rS(_81418, _81416, _81412), _81412 = _81410, rline(_81410), 3242 ^ _31489 : [(3243 ^ _31489) ^ [_81741] : [_81414 = _81741, rpoint(_81741)]], 3250 ^ _31489 : [(3251 ^ _31489) ^ [_81851] : [_81416 = _81851, rpoint(_81851)]], 3256 ^ _31489 : [(3257 ^ _31489) ^ [_81934] : [_81418 = _81934, rpoint(_81934)]]], (1312 ^ _31489) ^ [_51891, _51893, _51895, _51897, _51899, _51901, _51903, _51905] : [1359 ^ _31489 : [(1360 ^ _31489) ^ [] : [-(vangle(_51901, _51905, _51897) = v0), -(rR(_51905, _51901, _51897)), ron(_51897, _51893)], (1370 ^ _31489) ^ [] : [vangle(_51901, _51905, _51897) = v0, 1373 ^ _31489 : [(1376 ^ _31489) ^ [] : [-(ron(_51897, _51893))], (1374 ^ _31489) ^ [] : [rR(_51905, _51901, _51897)]]]], ron(_51901, _51893), ron(_51905, _51893), -(_51905 = _51897), -(_51905 = _51901), _51893 = _51891, rline(_51891), _51897 = _51895, rpoint(_51895), _51901 = _51899, rpoint(_51899), _51905 = _51903, rpoint(_51903)], (3890 ^ _31489) ^ [_92081, _92083, _92085, _92087, _92089, _92091] : [3922 ^ _31489 : [(3925 ^ _31489) ^ [] : [3921 ^ [_92081, _92083, _92085, _92087, _92089, _92091] = _92087], (3927 ^ _31489) ^ [] : [-(rS(3921 ^ [_92081, _92083, _92085, _92087, _92089, _92091], _92087, _92091))], (3929 ^ _31489) ^ [] : [-(rpoint(3921 ^ [_92081, _92083, _92085, _92087, _92089, _92091]))], (3923 ^ _31489) ^ [] : [3921 ^ [_92081, _92083, _92085, _92087, _92089, _92091] = _92083]], _92087 = _92085, _92083 = _92081, rS(_92083, _92087, _92091), rpoint(_92081), -(ron(_92087, _92091)), rpoint(_92085), _92091 = _92089, rline(_92089)], (1125 ^ _31489) ^ [_48780, _48782, _48784, _48786, _48788, _48790] : [-(vf(_48788, _48786) = vf(_48782, _48780)), 1129 ^ _31489 : [(1132 ^ _31489) ^ [] : [-(ron(_48782, 1128 ^ [_48780, _48782, _48784, _48786, _48788, _48790]))], (1134 ^ _31489) ^ [] : [-(ron(_48784, 1128 ^ [_48780, _48782, _48784, _48786, _48788, _48790]))], (1136 ^ _31489) ^ [] : [-(rline(1128 ^ [_48780, _48782, _48784, _48786, _48788, _48790]))], (1130 ^ _31489) ^ [] : [-(ron(_48780, 1128 ^ [_48780, _48782, _48784, _48786, _48788, _48790]))]], vangle(_48788, _48790, _48786) = vangle(_48782, _48784, _48780), vf(_48790, _48786) = vf(_48784, _48780), vf(_48790, _48788) = vf(_48784, _48782), 1151 ^ _31489 : [(1152 ^ _31489) ^ [_49376] : [_48780 = _49376, rpoint(_49376)]], 1159 ^ _31489 : [(1160 ^ _31489) ^ [_49490] : [_48782 = _49490, rpoint(_49490)]], 1167 ^ _31489 : [(1168 ^ _31489) ^ [_49604] : [_48784 = _49604, rpoint(_49604)]], -(_48788 = _48786), -(_48790 = _48786), -(_48790 = _48788), 1187 ^ _31489 : [(1188 ^ _31489) ^ [_49877] : [_48786 = _49877, rpoint(_49877)]], 1195 ^ _31489 : [(1196 ^ _31489) ^ [_49991] : [_48788 = _49991, rpoint(_49991)]], 1201 ^ _31489 : [(1202 ^ _31489) ^ [_50076] : [_48790 = _50076, rpoint(_50076)]]], (10 ^ _31489) ^ [_31612, _31614, _31616] : [-(_31616 = _31612), _31616 = _31614, _31614 = _31612], (928 ^ _31489) ^ [_45482, _45484] : [948 ^ _31489 : [(953 ^ _31489) ^ [] : [-(rline(947 ^ [_45482, _45484]))], (951 ^ _31489) ^ [] : [-(ron(_45484, 947 ^ [_45482, _45484]))], (949 ^ _31489) ^ [] : [-(ron(_45482, 947 ^ [_45482, _45484]))]], -(_45484 = _45482), 935 ^ _31489 : [(936 ^ _31489) ^ [_45627] : [_45482 = _45627, rpoint(_45627)]], 941 ^ _31489 : [(942 ^ _31489) ^ [_45704] : [_45484 = _45704, rpoint(_45704)]]], (2605 ^ _31489) ^ [_71478, _71480, _71482, _71484, _71486, _71488, _71490] : [-(rR(_71490, _71488, _71486)), -(_71488 = _71486), ron(_71486, _71480), ron(_71488, _71480), rinside(_71490, _71480), ron(_71486, _71484), ron(_71488, _71484), ron(_71490, _71484), _71480 = _71478, rcircle(_71478), _71484 = _71482, rline(_71482), 2652 ^ _31489 : [(2653 ^ _31489) ^ [_72250] : [_71486 = _72250, rpoint(_72250)]], 2660 ^ _31489 : [(2661 ^ _31489) ^ [_72368] : [_71488 = _72368, rpoint(_72368)]], 2666 ^ _31489 : [(2667 ^ _31489) ^ [_72455] : [_71490 = _72455, rpoint(_72455)]]], (134 ^ _31489) ^ [_33290, _33292, _33294, _33296, _33298, _33300] : [-(rS(_33298, _33294, _33290)), rS(_33300, _33296, _33292), _33300 = _33298, _33296 = _33294, _33292 = _33290], (577 ^ _31489) ^ [] : [vd1288 = vd1287], (687 ^ _31489) ^ [_41785, _41787, _41789, _41791, _41793, _41795, _41797, _41799] : [-(rpoint(vskolem1120(_41799, _41797, _41795, _41793, _41791, _41789, _41787, _41785))), rless(vf(_41791, _41787), vf(_41799, _41795)), -(_41791 = _41787), -(_41799 = _41795), _41787 = _41785, rpoint(_41785), _41791 = _41789, rpoint(_41789), _41795 = _41793, rpoint(_41793), _41799 = _41797, rpoint(_41797)], (354 ^ _31489) ^ [] : [vd1288 = vd1289], (1756 ^ _31489) ^ [_58550, _58552] : [-(_58552 = _58550), 1763 ^ _31489 : [(1764 ^ _31489) ^ [_58720] : [_58550 = _58720, rpoint(_58720)]], 1769 ^ _31489 : [(1770 ^ _31489) ^ [_58797] : [_58552 = _58797, rpoint(_58797)]], 1775 ^ _31489 : [(1776 ^ _31489) ^ [_58882, _58884] : [-(rpoint(vskolem1078(_58884, _58882, _58552, _58550))), _58884 = _58882, -(_58884 = _58550), -(_58884 = _58552), rpoint(_58882)]]], (4305 ^ _31489) ^ [_98892, _98894, _98896, _98898] : [4325 ^ _31489 : [(4330 ^ _31489) ^ [] : [-(rpoint(4324 ^ [_98892, _98894, _98896, _98898]))], (4328 ^ _31489) ^ [] : [-(ron(4324 ^ [_98892, _98894, _98896, _98898], _98898))], (4326 ^ _31489) ^ [] : [4324 ^ [_98892, _98894, _98896, _98898] = _98894]], ron(_98894, _98898), _98894 = _98892, rpoint(_98892), _98898 = _98896, rline(_98896)], (575 ^ _31489) ^ [] : [-(ron(vd1302, vd1297))], (589 ^ _31489) ^ [] : [-(ron(vd1288, vd1295))], (344 ^ _31489) ^ [] : [-(vd1302 = vd1303)], (340 ^ _31489) ^ [] : [-(rR(vd1306, vd1287, vd1302))], (352 ^ _31489) ^ [] : [-(vf(vd1287, vd1288) = vf(vd1287, vd1289))], (5017 ^ _31489) ^ [_113113, _113115, _113117] : [5041 ^ _31489 : [(5044 ^ _31489) ^ [] : [-(rreal(5040 ^ [_113113, _113115, _113117]))], (5042 ^ _31489) ^ [] : [-(vg(_113117, _113115, _113113) = 5040 ^ [_113113, _113115, _113117])]], 5020 ^ _31489 : [(5021 ^ _31489) ^ [_113223] : [_113113 = _113223, rpoint(_113223)]], 5028 ^ _31489 : [(5029 ^ _31489) ^ [_113325] : [_113115 = _113325, rpoint(_113325)]], 5034 ^ _31489 : [(5035 ^ _31489) ^ [_113404] : [_113117 = _113404, rpoint(_113404)]]], (298 ^ _31489) ^ [_35964, _35966, _35968, _35970, _35972, _35974] : [-(vg(_35974, _35970, _35966) = vg(_35972, _35968, _35964)), _35974 = _35972, _35970 = _35968, _35966 = _35964], (312 ^ _31489) ^ [_36185, _36187, _36189, _36191] : [-(vplus(_36191, _36187) = vplus(_36189, _36185)), _36191 = _36189, _36187 = _36185], (34 ^ _31489) ^ [_31942, _31944] : [-(rcircle(_31942)), _31944 = _31942, rcircle(_31944)], (5046 ^ _31489) ^ [_113559, _113561, _113563, _113565, _113567, _113569, _113571, _113573] : [5145 ^ _31489 : [(5146 ^ _31489) ^ [] : [-(rS(_113565, _113573, _113561)), ron(_113565, _113561), ron(_113565, _113563)], (5156 ^ _31489) ^ [] : [-(rintersect(_113563, _113561))]], rless(vplus(vangle(_113573, _113571, _113569), vangle(_113571, _113569, _113567)), vplus(vperp, vperp)), rS(_113573, _113567, _113561), -(_113571 = _113569), ron(_113567, _113559), ron(_113569, _113559), ron(_113569, _113561), ron(_113571, _113561), ron(_113571, _113563), ron(_113573, _113563), 5085 ^ _31489 : [(5086 ^ _31489) ^ [_114359] : [_113559 = _114359, rline(_114359)]], 5093 ^ _31489 : [(5094 ^ _31489) ^ [_114481] : [_113561 = _114481, rline(_114481)]], 5101 ^ _31489 : [(5102 ^ _31489) ^ [_114603] : [_113563 = _114603, rline(_114603)]], 5109 ^ _31489 : [(5110 ^ _31489) ^ [_114725] : [_113565 = _114725, rpoint(_114725)]], 5117 ^ _31489 : [(5118 ^ _31489) ^ [_114847] : [_113567 = _114847, rpoint(_114847)]], 5125 ^ _31489 : [(5126 ^ _31489) ^ [_114969] : [_113569 = _114969, rpoint(_114969)]], 5133 ^ _31489 : [(5134 ^ _31489) ^ [_115091] : [_113571 = _115091, rpoint(_115091)]], 5139 ^ _31489 : [(5140 ^ _31489) ^ [_115180] : [_113573 = _115180, rpoint(_115180)]]], (274 ^ _31489) ^ [_35594, _35596, _35598, _35600, _35602, _35604] : [-(vtriangle(_35604, _35600, _35596) = vtriangle(_35602, _35598, _35594)), _35604 = _35602, _35600 = _35598, _35596 = _35594], (1600 ^ _31489) ^ [_56167, _56169, _56171, _56173] : [-(rR(_56167, _56173, _56169)), rR(_56167, _56173, _56171), rR(_56171, _56173, _56169), 1611 ^ _31489 : [(1612 ^ _31489) ^ [_56396] : [_56167 = _56396, rpoint(_56396)]], 1619 ^ _31489 : [(1620 ^ _31489) ^ [_56502] : [_56169 = _56502, rpoint(_56502)]], 1627 ^ _31489 : [(1628 ^ _31489) ^ [_56608] : [_56171 = _56608, rpoint(_56608)]], 1633 ^ _31489 : [(1634 ^ _31489) ^ [_56689] : [_56173 = _56689, rpoint(_56689)]]], (827 ^ _31489) ^ [] : [-(ron(vd1288, vd1295))], (825 ^ _31489) ^ [] : [-(ron(vd1289, vd1297))], (579 ^ _31489) ^ [] : [vd1306 = vd1302], (581 ^ _31489) ^ [] : [-(ron(vd1299, vd1295))], (4421 ^ _31489) ^ [_100834, _100836] : [4437 ^ _31489 : [(4442 ^ _31489) ^ [] : [-(rpoint(4436 ^ [_100834, _100836]))], (4440 ^ _31489) ^ [] : [4436 ^ [_100834, _100836] = _100836], (4438 ^ _31489) ^ [] : [4436 ^ [_100834, _100836] = _100834]], 4424 ^ _31489 : [(4425 ^ _31489) ^ [_100930] : [_100834 = _100930, rpoint(_100930)]], 4430 ^ _31489 : [(4431 ^ _31489) ^ [_101007] : [_100836 = _101007, rpoint(_101007)]]], (4689 ^ _31489) ^ [_107826, _107828, _107830] : [-(vangle(_107830, _107828, _107826) = vangle(_107826, _107828, _107830)), -(_107830 = _107826), -(_107830 = _107828), 4700 ^ _31489 : [(4701 ^ _31489) ^ [_108040] : [_107826 = _108040, rpoint(_108040)]], 4708 ^ _31489 : [(4709 ^ _31489) ^ [_108142] : [_107828 = _108142, rpoint(_108142)]], 4714 ^ _31489 : [(4715 ^ _31489) ^ [_108221] : [_107830 = _108221, rpoint(_108221)]]], (3611 ^ _31489) ^ [_87580, _87582, _87584, _87586] : [3632 ^ _31489 : [(3637 ^ _31489) ^ [] : [-(ron(3631 ^ [_87580, _87582, _87584, _87586], _87582))], (3643 ^ _31489) ^ [] : [-(ron(3630 ^ [_87580, _87582, _87584, _87586], _87582))], (3645 ^ _31489) ^ [] : [-(rpoint(3630 ^ [_87580, _87582, _87584, _87586]))], (3639 ^ _31489) ^ [] : [-(rpoint(3631 ^ [_87580, _87582, _87584, _87586]))], (3633 ^ _31489) ^ [] : [3630 ^ [_87580, _87582, _87584, _87586] = 3631 ^ [_87580, _87582, _87584, _87586]], (3635 ^ _31489) ^ [] : [-(ron(3631 ^ [_87580, _87582, _87584, _87586], _87586))], (3641 ^ _31489) ^ [] : [-(ron(3630 ^ [_87580, _87582, _87584, _87586], _87586))]], rintersect(_87582, _87586), _87582 = _87580, rline(_87580), _87586 = _87584, rcircle(_87584)], (68 ^ _31489) ^ [_32385, _32387, _32389, _32391, _32393, _32395] : [-(rR(_32393, _32389, _32385)), rR(_32395, _32391, _32387), _32395 = _32393, _32391 = _32389, _32387 = _32385], (3491 ^ _31489) ^ [_85647, _85649] : [3512 ^ _31489 : [(3517 ^ _31489) ^ [] : [-(ron(3511 ^ [_85647, _85649], _85649))], (3523 ^ _31489) ^ [] : [-(ron(3510 ^ [_85647, _85649], _85649))], (3525 ^ _31489) ^ [] : [-(rpoint(3510 ^ [_85647, _85649]))], (3519 ^ _31489) ^ [] : [-(rpoint(3511 ^ [_85647, _85649]))], (3513 ^ _31489) ^ [] : [3510 ^ [_85647, _85649] = 3511 ^ [_85647, _85649]], (3515 ^ _31489) ^ [] : [-(ron(3511 ^ [_85647, _85649], _85647))], (3521 ^ _31489) ^ [] : [-(ron(3510 ^ [_85647, _85649], _85647))]], rintersect(_85649, _85647), 3498 ^ _31489 : [(3499 ^ _31489) ^ [_85819] : [_85647 = _85819, rcircle(_85819)]], 3504 ^ _31489 : [(3505 ^ _31489) ^ [_85896] : [_85649 = _85896, rcircle(_85896)]]], (4933 ^ _31489) ^ [_111804, _111806, _111808, _111810, _111812] : [4976 ^ _31489 : [(4983 ^ _31489) ^ [] : [ron(_111808, _111806), -(vg(_111812, _111810, _111808) = v0)], (4977 ^ _31489) ^ [] : [vg(_111812, _111810, _111808) = v0, -(ron(_111808, _111806))]], ron(_111810, _111806), ron(_111812, _111806), -(_111812 = _111810), _111806 = _111804, rline(_111804), 4956 ^ _31489 : [(4957 ^ _31489) ^ [_112199] : [_111808 = _112199, rpoint(_112199)]], 4964 ^ _31489 : [(4965 ^ _31489) ^ [_112309] : [_111810 = _112309, rpoint(_112309)]], 4970 ^ _31489 : [(4971 ^ _31489) ^ [_112392] : [_111812 = _112392, rpoint(_112392)]]], (368 ^ _31489) ^ [] : [-(rpoint(364 ^ []))], (2108 ^ _31489) ^ [_63859, _63861, _63863, _63865, _63867, _63869] : [-(rless(_63869, _63861)), rless(_63865, _63861), rless(_63869, _63865), _63861 = _63859, rreal(_63859), _63865 = _63863, rreal(_63863), _63869 = _63867, rreal(_63867)], (2064 ^ _31489) ^ [_63223, _63225] : [rcenter(_63225, _63223), 2069 ^ _31489 : [(2072 ^ _31489) ^ [] : [-(rcircle(2068 ^ [_63223, _63225]))], (2074 ^ _31489) ^ [] : [-(_63225 = 2067 ^ [_63223, _63225])], (2076 ^ _31489) ^ [] : [-(rpoint(2067 ^ [_63223, _63225]))], (2070 ^ _31489) ^ [] : [-(_63223 = 2068 ^ [_63223, _63225])]]], (346 ^ _31489) ^ [] : [-(rR(vd1289, vd1287, vd1302))], (585 ^ _31489) ^ [] : [-(ron(vd1287, vd1297))], (2365 ^ _31489) ^ [_67598, _67600, _67602, _67604, _67606, _67608] : [-(rintersect(_67604, _67600)), _67604 = _67602, _67600 = _67598, ron(_67606, _67600), ron(_67608, _67600), rline(_67598), -(rS(_67608, _67606, _67604)), rline(_67602), 2396 ^ _31489 : [(2397 ^ _31489) ^ [_68097] : [_67606 = _68097, rpoint(_68097)]], 2402 ^ _31489 : [(2403 ^ _31489) ^ [_68182] : [_67608 = _68182, rpoint(_68182)]]], (2031 ^ _31489) ^ [_62756, _62758] : [rcenter(_62758, _62756), -(rinside(_62758, _62756))], (54 ^ _31489) ^ [_32192, _32194, _32196, _32198] : [-(rcenter(_32196, _32192)), rcenter(_32198, _32194), _32198 = _32196, _32194 = _32192], (1812 ^ _31489) ^ [_59424, _59426, _59428, _59430, _59432, _59434] : [-(_59434 = _59430), vplus(_59434, _59426) = vplus(_59430, _59426), _59426 = _59424, rreal(_59424), _59430 = _59428, rreal(_59428), _59434 = _59432, rreal(_59432)], (1957 ^ _31489) ^ [_61647, _61649, _61651, _61653] : [-(vf(_61653, _61649) = vf(_61649, vskolem1052(_61653, _61651, _61649, _61647))), _61649 = _61647, -(_61653 = _61649), rpoint(_61647), _61653 = _61651, rpoint(_61651)], (238 ^ _31489) ^ [_34992, _34994, _34996, _34998, _35000, _35002, _35004, _35006] : [-(vskolem1078(_35006, _35002, _34998, _34994) = vskolem1078(_35004, _35000, _34996, _34992)), _35006 = _35004, _35002 = _35000, _34998 = _34996, _34994 = _34992], (587 ^ _31489) ^ [] : [-(rline(vd1297))], (3835 ^ _31489) ^ [_91069, _91071, _91073, _91075, _91077, _91079, _91081, _91083] : [3879 ^ _31489 : [(3880 ^ _31489) ^ [] : [3878 ^ [_91069, _91071, _91073, _91075, _91077, _91079, _91081, _91083] = _91071], (3884 ^ _31489) ^ [] : [3878 ^ [_91069, _91071, _91073, _91075, _91077, _91079, _91081, _91083] = _91079], (3888 ^ _31489) ^ [] : [-(rpoint(3878 ^ [_91069, _91071, _91073, _91075, _91077, _91079, _91081, _91083]))], (3886 ^ _31489) ^ [] : [-(rS(3878 ^ [_91069, _91071, _91073, _91075, _91077, _91079, _91081, _91083], _91079, _91083))], (3882 ^ _31489) ^ [] : [3878 ^ [_91069, _91071, _91073, _91075, _91077, _91079, _91081, _91083] = _91075]], _91079 = _91077, _91075 = _91073, _91071 = _91069, rS(_91071, _91079, _91083), rpoint(_91069), rS(_91075, _91079, _91083), rpoint(_91073), -(ron(_91079, _91083)), rpoint(_91077), _91083 = _91081, rline(_91081)], (2279 ^ _31489) ^ [_66289, _66291, _66293, _66295, _66297, _66299] : [-(rintersect(_66291, _66295)), ron(_66299, _66291), rinside(_66299, _66295), _66291 = _66289, rline(_66289), _66295 = _66293, rcircle(_66293), _66299 = _66297, rpoint(_66297)], (4211 ^ _31489) ^ [_97306, _97308, _97310, _97312, _97314] : [4255 ^ _31489 : [(4258 ^ _31489) ^ [] : [4254 ^ [_97306, _97308, _97310, _97312, _97314] = _97310], (4260 ^ _31489) ^ [] : [-(ron(4254 ^ [_97306, _97308, _97310, _97312, _97314], _97314))], (4262 ^ _31489) ^ [] : [-(rpoint(4254 ^ [_97306, _97308, _97310, _97312, _97314]))], (4256 ^ _31489) ^ [] : [4254 ^ [_97306, _97308, _97310, _97312, _97314] = _97308]], ron(_97306, _97314), ron(_97308, _97314), ron(_97310, _97314), 4226 ^ _31489 : [(4227 ^ _31489) ^ [_97615] : [_97306 = _97615, rpoint(_97615)]], 4234 ^ _31489 : [(4235 ^ _31489) ^ [_97725] : [_97308 = _97725, rpoint(_97725)]], 4242 ^ _31489 : [(4243 ^ _31489) ^ [_97835] : [_97310 = _97835, rpoint(_97835)]], _97314 = _97312, rline(_97312)], (322 ^ _31489) ^ [_36330, _36332, _36334, _36336, _36338, _36340] : [-(vangle(_36340, _36336, _36332) = vangle(_36338, _36334, _36330)), _36340 = _36338, _36336 = _36334, _36332 = _36330], (4723 ^ _31489) ^ [_108347, _108349, _108351, _108353, _108355] : [-(_108349 = _108347), vf(_108351, _108355) = vf(_108351, _108353), ron(_108353, _108347), ron(_108355, _108349), rcenter(_108351, _108347), rcenter(_108351, _108349), 4746 ^ _31489 : [(4747 ^ _31489) ^ [_108727] : [_108353 = _108727, rpoint(_108727)]], 4752 ^ _31489 : [(4753 ^ _31489) ^ [_108810] : [_108355 = _108810, rpoint(_108810)]]], (3729 ^ _31489) ^ [_89414, _89416, _89418, _89420] : [3761 ^ _31489 : [(3764 ^ _31489) ^ [] : [3760 ^ [_89414, _89416, _89418, _89420] = _89416], (3766 ^ _31489) ^ [] : [-(ron(3760 ^ [_89414, _89416, _89418, _89420], _89420))], (3768 ^ _31489) ^ [] : [-(rpoint(3760 ^ [_89414, _89416, _89418, _89420]))], (3762 ^ _31489) ^ [] : [3760 ^ [_89414, _89416, _89418, _89420] = _89414]], ron(_89414, _89420), ron(_89416, _89420), 3740 ^ _31489 : [(3741 ^ _31489) ^ [_89643] : [_89414 = _89643, rpoint(_89643)]], 3748 ^ _31489 : [(3749 ^ _31489) ^ [_89749] : [_89416 = _89749, rpoint(_89749)]], _89420 = _89418, rcircle(_89418)], (563 ^ _31489) ^ [] : [vd1306 = vd1287], (591 ^ _31489) ^ [] : [-(ron(vd1287, vd1295))], (166 ^ _31489) ^ [_33752, _33754, _33756, _33758] : [-(rgeq(_33756, _33752)), rgeq(_33758, _33754), _33758 = _33756, _33754 = _33752], (835 ^ _31489) ^ [] : [-(ron(vd1287, vd1295))], (5158 ^ _31489) ^ [_115485, _115487, _115489, _115491, _115493, _115495] : [-(rgeq(vg(_115495, _115491, _115487), v0)), _115487 = _115485, rpoint(_115485), _115491 = _115489, rpoint(_115489), _115495 = _115493, rpoint(_115493)], (2547 ^ _31489) ^ [_70531, _70533, _70535, _70537, _70539, _70541, _70543] : [-(rinside(_70539, _70533)), rR(_70539, _70543, _70541), 2554 ^ _31489 : [(2557 ^ _31489) ^ [] : [rinside(_70541, _70533)], (2555 ^ _31489) ^ [] : [ron(_70541, _70533)]], 2560 ^ _31489 : [(2563 ^ _31489) ^ [] : [rinside(_70543, _70533)], (2561 ^ _31489) ^ [] : [ron(_70543, _70533)]], _70533 = _70531, rcircle(_70531), _70537 = _70535, rline(_70535), 2582 ^ _31489 : [(2583 ^ _31489) ^ [_71133] : [_70539 = _71133, rpoint(_71133)]], 2590 ^ _31489 : [(2591 ^ _31489) ^ [_71251] : [_70541 = _71251, rpoint(_71251)]], 2596 ^ _31489 : [(2597 ^ _31489) ^ [_71338] : [_70543 = _71338, rpoint(_71338)]]], (459 ^ _31489) ^ [_38204, _38206, _38208, _38210, _38212, _38214, _38216] : [-(vangle(_38214, _38216, _38212) = vangle(_38210, _38216, _38208)), -(rR(_38216, _38212, _38208)), -(rR(_38216, _38214, _38210)), -(_38208 = _38216), -(_38210 = _38216), -(_38212 = _38216), -(_38214 = _38216), ron(_38208, _38204), ron(_38212, _38204), ron(_38210, _38206), ron(_38214, _38206), ron(_38216, _38206), 506 ^ _31489 : [(507 ^ _31489) ^ [_39070] : [_38204 = _39070, rline(_39070)]], 514 ^ _31489 : [(515 ^ _31489) ^ [_39188] : [_38206 = _39188, rline(_39188)]], 522 ^ _31489 : [(523 ^ _31489) ^ [_39306] : [_38208 = _39306, rpoint(_39306)]], 530 ^ _31489 : [(531 ^ _31489) ^ [_39424] : [_38210 = _39424, rpoint(_39424)]], 538 ^ _31489 : [(539 ^ _31489) ^ [_39542] : [_38212 = _39542, rpoint(_39542)]], 546 ^ _31489 : [(547 ^ _31489) ^ [_39660] : [_38214 = _39660, rpoint(_39660)]], 552 ^ _31489 : [(553 ^ _31489) ^ [_39747] : [_38216 = _39747, rpoint(_39747)]]], (1794 ^ _31489) ^ [_59151, _59153] : [-(vf(_59153, _59151) = vf(_59151, _59153)), 1797 ^ _31489 : [(1798 ^ _31489) ^ [_59233] : [_59151 = _59233, rpoint(_59233)]], 1803 ^ _31489 : [(1804 ^ _31489) ^ [_59310] : [_59153 = _59310, rpoint(_59310)]]], (3317 ^ _31489) ^ [_82814, _82816, _82818, _82820] : [rR(_82818, _82816, _82814), rR(_82818, _82820, _82814), rR(_82818, _82820, _82816), 3328 ^ _31489 : [(3329 ^ _31489) ^ [_83045] : [_82814 = _83045, rpoint(_83045)]], 3336 ^ _31489 : [(3337 ^ _31489) ^ [_83151] : [_82816 = _83151, rpoint(_83151)]], 3344 ^ _31489 : [(3345 ^ _31489) ^ [_83257] : [_82818 = _83257, rpoint(_83257)]], 3350 ^ _31489 : [(3351 ^ _31489) ^ [_83338] : [_82820 = _83338, rpoint(_83338)]]], (583 ^ _31489) ^ [] : [-(ron(vd1289, vd1297))], (733 ^ _31489) ^ [_42540, _42542, _42544, _42546, _42548] : [-(ron(_42546, _42542)), _42542 = _42540, ron(_42544, _42542), ron(_42548, _42542), rR(_42546, _42548, _42544), rline(_42540), 756 ^ _31489 : [(757 ^ _31489) ^ [_42924] : [_42544 = _42924, rpoint(_42924)]], 764 ^ _31489 : [(765 ^ _31489) ^ [_43034] : [_42546 = _43034, rpoint(_43034)]], 770 ^ _31489 : [(771 ^ _31489) ^ [_43117] : [_42548 = _43117, rpoint(_43117)]]], (1935 ^ _31489) ^ [_61311, _61313, _61315, _61317] : [-(vf(_61313, vskolem1052(_61317, _61315, _61313, _61311)) = vf(vskolem1052(_61317, _61315, _61313, _61311), _61317)), _61313 = _61311, -(_61317 = _61313), rpoint(_61311), _61317 = _61315, rpoint(_61315)], (1534 ^ _31489) ^ [_55245, _55247, _55249, _55251, _55253] : [-(rR(_55251, _55253, _55249)), -(rR(_55253, _55251, _55249)), -(rR(_55249, _55253, _55251)), _55247 = _55245, ron(_55249, _55247), ron(_55251, _55247), ron(_55253, _55247), rline(_55245), -(_55251 = _55249), -(_55253 = _55249), -(_55253 = _55251), 1569 ^ _31489 : [(1570 ^ _31489) ^ [_55819] : [_55249 = _55819, rpoint(_55819)]], 1577 ^ _31489 : [(1578 ^ _31489) ^ [_55929] : [_55251 = _55929, rpoint(_55929)]], 1583 ^ _31489 : [(1584 ^ _31489) ^ [_56012] : [_55253 = _56012, rpoint(_56012)]]], (288 ^ _31489) ^ [_35815, _35817, _35819, _35821] : [-(vf(_35821, _35817) = vf(_35819, _35815)), _35821 = _35819, _35817 = _35815], (955 ^ _31489) ^ [_45872, _45874, _45876, _45878, _45880, _45882] : [-(vangle(_45882, _45878, _45880) = vangle(_45876, _45872, _45874)), 959 ^ _31489 : [(962 ^ _31489) ^ [] : [-(ron(_45874, 958 ^ [_45872, _45874, _45876, _45878, _45880, _45882]))], (964 ^ _31489) ^ [] : [-(ron(_45876, 958 ^ [_45872, _45874, _45876, _45878, _45880, _45882]))], (966 ^ _31489) ^ [] : [-(rline(958 ^ [_45872, _45874, _45876, _45878, _45880, _45882]))], (960 ^ _31489) ^ [] : [-(ron(_45872, 958 ^ [_45872, _45874, _45876, _45878, _45880, _45882]))]], vangle(_45880, _45882, _45878) = vangle(_45874, _45876, _45872), vf(_45882, _45878) = vf(_45876, _45872), vf(_45882, _45880) = vf(_45876, _45874), 981 ^ _31489 : [(982 ^ _31489) ^ [_46470] : [_45872 = _46470, rpoint(_46470)]], 989 ^ _31489 : [(990 ^ _31489) ^ [_46584] : [_45874 = _46584, rpoint(_46584)]], 997 ^ _31489 : [(998 ^ _31489) ^ [_46698] : [_45876 = _46698, rpoint(_46698)]], -(_45880 = _45878), -(_45882 = _45878), -(_45882 = _45880), 1017 ^ _31489 : [(1018 ^ _31489) ^ [_46971] : [_45878 = _46971, rpoint(_46971)]], 1025 ^ _31489 : [(1026 ^ _31489) ^ [_47085] : [_45880 = _47085, rpoint(_47085)]], 1031 ^ _31489 : [(1032 ^ _31489) ^ [_47170] : [_45882 = _47170, rpoint(_47170)]]], (1450 ^ _31489) ^ [_54036, _54038] : [1453 ^ _31489 : [(1454 ^ _31489) ^ [_54121] : [_54036 = _54121, rpoint(_54121)]], 1459 ^ _31489 : [(1460 ^ _31489) ^ [_54198] : [_54038 = _54198, rpoint(_54198)]], 1465 ^ _31489 : [(1472 ^ _31489) ^ [] : [_54038 = _54036, -(vf(_54038, _54036) = v0)], (1466 ^ _31489) ^ [] : [vf(_54038, _54036) = v0, -(_54038 = _54036)]]], (4264 ^ _31489) ^ [_98196, _98198, _98200, _98202, _98204, _98206] : [4296 ^ _31489 : [(4299 ^ _31489) ^ [] : [4295 ^ [_98196, _98198, _98200, _98202, _98204, _98206] = _98202], (4301 ^ _31489) ^ [] : [-(ron(4295 ^ [_98196, _98198, _98200, _98202, _98204, _98206], _98206))], (4303 ^ _31489) ^ [] : [-(rpoint(4295 ^ [_98196, _98198, _98200, _98202, _98204, _98206]))], (4297 ^ _31489) ^ [] : [4295 ^ [_98196, _98198, _98200, _98202, _98204, _98206] = _98198]], ron(_98198, _98206), ron(_98202, _98206), _98198 = _98196, rpoint(_98196), _98202 = _98200, rpoint(_98200), _98206 = _98204, rline(_98204)], (567 ^ _31489) ^ [] : [vd1289 = vd1287], (837 ^ _31489) ^ [_44058, _44060, _44062, _44064, _44066, _44068] : [884 ^ _31489 : [(891 ^ _31489) ^ [] : [vangle(_44068, _44064, _44062) = vperp, -(vangle(_44068, _44064, _44062) = vangle(_44062, _44064, _44066))], (885 ^ _31489) ^ [] : [vangle(_44068, _44064, _44062) = vangle(_44062, _44064, _44066), -(vangle(_44068, _44064, _44062) = vperp)]], -(ron(_44062, _44060)), rR(_44064, _44068, _44066), _44060 = _44058, rline(_44058), 856 ^ _31489 : [(857 ^ _31489) ^ [_44435] : [_44062 = _44435, rpoint(_44435)]], 864 ^ _31489 : [(865 ^ _31489) ^ [_44549] : [_44064 = _44549, rpoint(_44549)]], 872 ^ _31489 : [(873 ^ _31489) ^ [_44663] : [_44066 = _44663, rpoint(_44663)]], 878 ^ _31489 : [(879 ^ _31489) ^ [_44748] : [_44068 = _44748, rpoint(_44748)]]], (342 ^ _31489) ^ [] : [-(rpoint(vd1306))], (96 ^ _31489) ^ [_32779, _32781, _32783, _32785] : [-(rless(_32783, _32779)), rless(_32785, _32781), _32785 = _32783, _32781 = _32779], (3554 ^ _31489) ^ [_86637, _86639, _86641, _86643, _86645, _86647, _86649, _86651] : [3602 ^ _31489 : [(3605 ^ _31489) ^ [] : [-(ron(3601 ^ [_86637, _86639, _86641, _86643, _86645, _86647, _86649, _86651], _86647))], (3607 ^ _31489) ^ [] : [-(ron(3601 ^ [_86637, _86639, _86641, _86643, _86645, _86647, _86649, _86651], _86651))], (3609 ^ _31489) ^ [] : [-(rpoint(3601 ^ [_86637, _86639, _86641, _86643, _86645, _86647, _86649, _86651]))], (3603 ^ _31489) ^ [] : [-(rR(_86643, 3601 ^ [_86637, _86639, _86641, _86643, _86645, _86647, _86649, _86651], _86639))]], -(_86639 = _86643), ron(_86639, _86647), _86639 = _86637, rpoint(_86637), ron(_86643, _86647), rinside(_86643, _86651), _86643 = _86641, rpoint(_86641), _86647 = _86645, rline(_86645), _86651 = _86649, rcircle(_86649)], (120 ^ _31489) ^ [_33097, _33099, _33101, _33103] : [-(ron(_33101, _33097)), ron(_33103, _33099), _33103 = _33101, _33099 = _33097], (3039 ^ _31489) ^ [_78605, _78607, _78609, _78611, _78613] : [rS(_78613, _78609, _78607), ron(_78611, _78607), rR(_78611, _78613, _78609), _78607 = _78605, rline(_78605), 3058 ^ _31489 : [(3059 ^ _31489) ^ [_78936] : [_78609 = _78936, rpoint(_78936)]], 3066 ^ _31489 : [(3067 ^ _31489) ^ [_79046] : [_78611 = _79046, rpoint(_79046)]], 3072 ^ _31489 : [(3073 ^ _31489) ^ [_79129] : [_78613 = _79129, rpoint(_79129)]]], (455 ^ _31489) ^ [] : [-(vd1299 = vd1300)], (1642 ^ _31489) ^ [_56814, _56816, _56818, _56820] : [ron(_56820, _56816), rinside(_56820, _56816), _56816 = _56814, rcircle(_56814), _56820 = _56818, rpoint(_56818)], (1378 ^ _31489) ^ [_52946, _52948, _52950, _52952] : [1401 ^ _31489 : [(1408 ^ _31489) ^ [] : [rinside(_52952, _52946), -(rless(vf(_52948, _52952), vf(_52948, _52950)))], (1402 ^ _31489) ^ [] : [rless(vf(_52948, _52952), vf(_52948, _52950)), -(rinside(_52952, _52946))]], ron(_52950, _52946), rcenter(_52948, _52946), 1389 ^ _31489 : [(1390 ^ _31489) ^ [_53150] : [_52950 = _53150, rpoint(_53150)]], 1395 ^ _31489 : [(1396 ^ _31489) ^ [_53231] : [_52952 = _53231, rpoint(_53231)]]], (3359 ^ _31489) ^ [_83462, _83464, _83466, _83468] : [-(_83464 = _83462), rcenter(_83462, _83468), rcenter(_83464, _83468), _83468 = _83466, rcircle(_83466)], (3647 ^ _31489) ^ [_88223, _88225, _88227, _88229] : [3667 ^ _31489 : [(3672 ^ _31489) ^ [] : [-(rpoint(3666 ^ [_88223, _88225, _88227, _88229]))], (3670 ^ _31489) ^ [] : [-(ron(3666 ^ [_88223, _88225, _88227, _88229], _88225))], (3668 ^ _31489) ^ [] : [-(ron(3666 ^ [_88223, _88225, _88227, _88229], _88229))]], rintersect(_88225, _88229), _88225 = _88223, rline(_88223), _88229 = _88227, rcircle(_88227)], (1210 ^ _31489) ^ [_50230, _50232, _50234, _50236, _50238, _50240] : [1293 ^ _31489 : [(1302 ^ _31489) ^ [] : [-(vangle(_50238, _50240, _50236) = vplus(vangle(_50238, _50240, _50234), vangle(_50234, _50240, _50236))), rS(_50236, _50234, _50232), rS(_50238, _50234, _50230)], (1294 ^ _31489) ^ [] : [vangle(_50238, _50240, _50236) = vplus(vangle(_50238, _50240, _50234), vangle(_50234, _50240, _50236)), 1297 ^ _31489 : [(1300 ^ _31489) ^ [] : [-(rS(_50238, _50234, _50230))], (1298 ^ _31489) ^ [] : [-(rS(_50236, _50234, _50232))]]]], -(_50232 = _50230), -(ron(_50234, _50230)), -(ron(_50234, _50232)), -(_50240 = _50236), -(_50240 = _50238), ron(_50236, _50230), ron(_50238, _50232), ron(_50240, _50230), ron(_50240, _50232), 1249 ^ _31489 : [(1250 ^ _31489) ^ [_50952] : [_50230 = _50952, rline(_50952)]], 1257 ^ _31489 : [(1258 ^ _31489) ^ [_51066] : [_50232 = _51066, rline(_51066)]], 1265 ^ _31489 : [(1266 ^ _31489) ^ [_51180] : [_50234 = _51180, rpoint(_51180)]], 1273 ^ _31489 : [(1274 ^ _31489) ^ [_51294] : [_50236 = _51294, rpoint(_51294)]], 1281 ^ _31489 : [(1282 ^ _31489) ^ [_51408] : [_50238 = _51408, rpoint(_51408)]], 1287 ^ _31489 : [(1288 ^ _31489) ^ [_51493] : [_50240 = _51493, rpoint(_51493)]]], (5202 ^ _31489) ^ [_116137, _116139, _116141] : [5225 ^ _31489 : [(5228 ^ _31489) ^ [] : [-(rleq(v0, vangle(_116141, _116139, _116137)))], (5226 ^ _31489) ^ [] : [-(rleq(vangle(_116141, _116139, _116137), vplus(vperp, vperp)))]], 5205 ^ _31489 : [(5206 ^ _31489) ^ [_116247] : [_116137 = _116247, rpoint(_116247)]], 5213 ^ _31489 : [(5214 ^ _31489) ^ [_116349] : [_116139 = _116349, rpoint(_116349)]], 5219 ^ _31489 : [(5220 ^ _31489) ^ [_116428] : [_116141 = _116428, rpoint(_116428)]]], (2037 ^ _31489) ^ [_62833, _62835] : [2057 ^ _31489 : [(2062 ^ _31489) ^ [] : [-(rcircle(2056 ^ [_62833, _62835]))], (2060 ^ _31489) ^ [] : [-(rcenter(_62835, 2056 ^ [_62833, _62835]))], (2058 ^ _31489) ^ [] : [-(ron(_62833, 2056 ^ [_62833, _62835]))]], -(_62835 = _62833), 2044 ^ _31489 : [(2045 ^ _31489) ^ [_62978] : [_62833 = _62978, rpoint(_62978)]], 2050 ^ _31489 : [(2051 ^ _31489) ^ [_63055] : [_62835 = _63055, rpoint(_63055)]]], (371 ^ _31489) ^ [] : [-(vd1287 = 369 ^ [])], (4915 ^ _31489) ^ [_111537, _111539] : [-(rleq(v0, vf(_111539, _111537))), 4918 ^ _31489 : [(4919 ^ _31489) ^ [_111616] : [_111537 = _111616, rpoint(_111616)]], 4924 ^ _31489 : [(4925 ^ _31489) ^ [_111693] : [_111539 = _111693, rpoint(_111693)]]], (2871 ^ _31489) ^ [_75895, _75897, _75899, _75901, _75903, _75905, _75907] : [rS(_75899, _75895, _75905), rS(_75899, _75897, _75903), rS(_75897, _75895, _75907), ron(_75895, _75903), ron(_75897, _75903), ron(_75899, _75907), ron(_75901, _75903), ron(_75901, _75905), ron(_75901, _75907), 2906 ^ _31489 : [(2907 ^ _31489) ^ [_76558] : [_75895 = _76558, rpoint(_76558)]], 2914 ^ _31489 : [(2915 ^ _31489) ^ [_76676] : [_75897 = _76676, rpoint(_76676)]], 2922 ^ _31489 : [(2923 ^ _31489) ^ [_76794] : [_75899 = _76794, rpoint(_76794)]], 2930 ^ _31489 : [(2931 ^ _31489) ^ [_76912] : [_75901 = _76912, rpoint(_76912)]], 2938 ^ _31489 : [(2939 ^ _31489) ^ [_77030] : [_75903 = _77030, rline(_77030)]], 2946 ^ _31489 : [(2947 ^ _31489) ^ [_77148] : [_75905 = _77148, rline(_77148)]], 2952 ^ _31489 : [(2953 ^ _31489) ^ [_77235] : [_75907 = _77235, rline(_77235)]]], (373 ^ _31489) ^ [] : [-(rpoint(369 ^ []))], (4009 ^ _31489) ^ [_94064, _94066, _94068, _94070] : [4045 ^ _31489 : [(4048 ^ _31489) ^ [] : [-(rpoint(4044 ^ [_94064, _94066, _94068, _94070]))], (4046 ^ _31489) ^ [] : [-(rR(_94064, _94066, 4044 ^ [_94064, _94066, _94068, _94070]))]], -(_94066 = _94064), ron(_94064, _94070), ron(_94066, _94070), 4024 ^ _31489 : [(4025 ^ _31489) ^ [_94335] : [_94064 = _94335, rpoint(_94335)]], 4032 ^ _31489 : [(4033 ^ _31489) ^ [_94441] : [_94066 = _94441, rpoint(_94441)]], _94070 = _94068, rline(_94068)], (3169 ^ _31489) ^ [_80616, _80618, _80620, _80622, _80624] : [-(rS(_80624, _80620, _80618)), -(rS(_80622, _80620, _80618)), -(rS(_80624, _80622, _80618)), -(ron(_80620, _80618)), -(ron(_80622, _80618)), -(ron(_80624, _80618)), _80618 = _80616, rline(_80616), 3196 ^ _31489 : [(3197 ^ _31489) ^ [_81076] : [_80620 = _81076, rpoint(_81076)]], 3204 ^ _31489 : [(3205 ^ _31489) ^ [_81186] : [_80622 = _81186, rpoint(_81186)]], 3210 ^ _31489 : [(3211 ^ _31489) ^ [_81269] : [_80624 = _81269, rpoint(_81269)]]], (3701 ^ _31489) ^ [_88997, _88999] : [3709 ^ _31489 : [(3714 ^ _31489) ^ [] : [-(rpoint(3708 ^ [_88997, _88999]))], (3712 ^ _31489) ^ [] : [rinside(3708 ^ [_88997, _88999], _88999)], (3710 ^ _31489) ^ [] : [ron(3708 ^ [_88997, _88999], _88999)]], _88999 = _88997, rcircle(_88997)], (180 ^ _31489) ^ [_33945, _33947] : [-(rpoint(_33945)), _33947 = _33945, rpoint(_33947)], (3674 ^ _31489) ^ [_88610, _88612, _88614, _88616] : [3694 ^ _31489 : [(3699 ^ _31489) ^ [] : [-(rpoint(3693 ^ [_88610, _88612, _88614, _88616]))], (3697 ^ _31489) ^ [] : [-(ron(3693 ^ [_88610, _88612, _88614, _88616], _88616))], (3695 ^ _31489) ^ [] : [-(ron(3693 ^ [_88610, _88612, _88614, _88616], _88612))]], rintersect(_88616, _88612), _88612 = _88610, rline(_88610), _88616 = _88614, rline(_88614)], (3265 ^ _31489) ^ [_82061, _82063, _82065, _82067] : [-(rS(_82065, _82067, _82063)), rS(_82067, _82065, _82063), _82063 = _82061, rline(_82061), 3280 ^ _31489 : [(3281 ^ _31489) ^ [_82308] : [_82065 = _82308, rpoint(_82308)]], 3286 ^ _31489 : [(3287 ^ _31489) ^ [_82389] : [_82067 = _82389, rpoint(_82389)]]], (256 ^ _31489) ^ [_35293, _35295, _35297, _35299, _35301, _35303, _35305, _35307] : [-(vskolem1052(_35307, _35303, _35299, _35295) = vskolem1052(_35305, _35301, _35297, _35293)), _35307 = _35305, _35303 = _35301, _35299 = _35297, _35295 = _35293], (4388 ^ _31489) ^ [_100261, _100263, _100265] : [4412 ^ _31489 : [(4415 ^ _31489) ^ [] : [4411 ^ [_100261, _100263, _100265] = _100263], (4417 ^ _31489) ^ [] : [4411 ^ [_100261, _100263, _100265] = _100265], (4419 ^ _31489) ^ [] : [-(rpoint(4411 ^ [_100261, _100263, _100265]))], (4413 ^ _31489) ^ [] : [4411 ^ [_100261, _100263, _100265] = _100261]], 4391 ^ _31489 : [(4392 ^ _31489) ^ [_100385] : [_100261 = _100385, rpoint(_100385)]], 4399 ^ _31489 : [(4400 ^ _31489) ^ [_100487] : [_100263 = _100487, rpoint(_100487)]], 4405 ^ _31489 : [(4406 ^ _31489) ^ [_100566] : [_100265 = _100566, rpoint(_100566)]]], (3716 ^ _31489) ^ [_89244, _89246] : [3724 ^ _31489 : [(3727 ^ _31489) ^ [] : [-(rpoint(3723 ^ [_89244, _89246]))], (3725 ^ _31489) ^ [] : [-(rinside(3723 ^ [_89244, _89246], _89246))]], _89246 = _89244, rcircle(_89244)], (375 ^ _31489) ^ [_36936, _36938, _36940, _36942] : [-(rR(_36940, _36942, _36936)), rR(_36938, _36940, _36936), rR(_36940, _36942, _36938), 386 ^ _31489 : [(387 ^ _31489) ^ [_37165] : [_36936 = _37165, rpoint(_37165)]], 394 ^ _31489 : [(395 ^ _31489) ^ [_37271] : [_36938 = _37271, rpoint(_37271)]], 402 ^ _31489 : [(403 ^ _31489) ^ [_37377] : [_36940 = _37377, rpoint(_37377)]], 408 ^ _31489 : [(409 ^ _31489) ^ [_37458] : [_36942 = _37458, rpoint(_37458)]]], (1478 ^ _31489) ^ [_54438, _54440, _54442, _54444] : [rless(_54440, _54444), -(_54444 = _54440), rless(_54444, _54440), _54440 = _54438, rreal(_54438), _54444 = _54442, rreal(_54442)], (4841 ^ _31489) ^ [_110248, _110250, _110252, _110254, _110256, _110258] : [-(vg(_110258, _110256, _110254) = vg(_110252, _110250, _110248)), vangle(_110254, _110258, _110256) = vangle(_110248, _110252, _110250), vangle(_110256, _110254, _110258) = vangle(_110250, _110248, _110252), vangle(_110258, _110256, _110254) = vangle(_110252, _110250, _110248), vf(_110254, _110258) = vf(_110248, _110252), vf(_110256, _110254) = vf(_110250, _110248), vf(_110258, _110256) = vf(_110252, _110250), 4868 ^ _31489 : [(4869 ^ _31489) ^ [_110844] : [_110248 = _110844, rpoint(_110844)]], 4876 ^ _31489 : [(4877 ^ _31489) ^ [_110958] : [_110250 = _110958, rpoint(_110958)]], 4884 ^ _31489 : [(4885 ^ _31489) ^ [_111072] : [_110252 = _111072, rpoint(_111072)]], 4892 ^ _31489 : [(4893 ^ _31489) ^ [_111186] : [_110254 = _111186, rpoint(_111186)]], 4900 ^ _31489 : [(4901 ^ _31489) ^ [_111300] : [_110256 = _111300, rpoint(_111300)]], 4906 ^ _31489 : [(4907 ^ _31489) ^ [_111385] : [_110258 = _111385, rpoint(_111385)]]], (831 ^ _31489) ^ [] : [-(ron(vd1287, vd1297))], (417 ^ _31489) ^ [_37583, _37585, _37587] : [444 ^ _31489 : [(447 ^ _31489) ^ [] : [_37587 = _37583], (449 ^ _31489) ^ [] : [_37587 = _37585], (451 ^ _31489) ^ [] : [-(rR(_37585, _37583, _37587))], (445 ^ _31489) ^ [] : [rR(_37587, _37585, _37583)]], rR(_37585, _37587, _37583), 424 ^ _31489 : [(425 ^ _31489) ^ [_37759] : [_37583 = _37759, rpoint(_37759)]], 432 ^ _31489 : [(433 ^ _31489) ^ [_37861] : [_37585 = _37861, rpoint(_37861)]], 438 ^ _31489 : [(439 ^ _31489) ^ [_37940] : [_37587 = _37940, rpoint(_37940)]]], (5184 ^ _31489) ^ [_115872, _115874] : [-(vg(_115874, _115874, _115872) = v0), 5187 ^ _31489 : [(5188 ^ _31489) ^ [_115952] : [_115872 = _115952, rpoint(_115952)]], 5193 ^ _31489 : [(5194 ^ _31489) ^ [_116029] : [_115874 = _116029, rpoint(_116029)]]], (593 ^ _31489) ^ [] : [-(rline(vd1295))], (20 ^ _31489) ^ [_31749, _31751, _31753, _31755] : [-(rinside(_31753, _31749)), rinside(_31755, _31751), _31755 = _31753, _31751 = _31749], (4457 ^ _31489) ^ [] : [-(rpoint(vd14))], (4 ^ _31489) ^ [_31539, _31541] : [_31541 = _31539, -(_31539 = _31541)], (1842 ^ _31489) ^ [_59875, _59877, _59879, _59881] : [-(vplus(_59881, _59877) = vplus(_59877, _59881)), _59877 = _59875, rreal(_59875), _59881 = _59879, rreal(_59879)], (2078 ^ _31489) ^ [_63408, _63410, _63412, _63414, _63416, _63418] : [-(rless(vplus(_63418, _63410), vplus(_63414, _63410))), rless(_63418, _63414), _63410 = _63408, rreal(_63408), _63414 = _63412, rreal(_63412), _63418 = _63416, rreal(_63416)], (4332 ^ _31489) ^ [_99314, _99316] : [4340 ^ _31489 : [(4343 ^ _31489) ^ [] : [-(rpoint(4339 ^ [_99314, _99316]))], (4341 ^ _31489) ^ [] : [-(ron(4339 ^ [_99314, _99316], _99316))]], _99316 = _99314, rline(_99314)], (110 ^ _31489) ^ [_32972, _32974] : [-(rline(_32972)), _32974 = _32972, rline(_32974)], (44 ^ _31489) ^ [_32067, _32069] : [-(rtriangle(_32067)), _32069 = _32067, rtriangle(_32069)], (3810 ^ _31489) ^ [_90682, _90684, _90686, _90688] : [3830 ^ _31489 : [(3833 ^ _31489) ^ [] : [-(rpoint(3829 ^ [_90682, _90684, _90686, _90688]))], (3831 ^ _31489) ^ [] : [rS(3829 ^ [_90682, _90684, _90686, _90688], _90684, _90688)]], _90684 = _90682, -(ron(_90684, _90688)), rpoint(_90682), _90688 = _90686, rline(_90686)], (3770 ^ _31489) ^ [_90090, _90092, _90094, _90096] : [3790 ^ _31489 : [(3795 ^ _31489) ^ [] : [-(rpoint(3789 ^ [_90090, _90092, _90094, _90096]))], (3793 ^ _31489) ^ [] : [-(ron(3789 ^ [_90090, _90092, _90094, _90096], _90096))], (3791 ^ _31489) ^ [] : [3789 ^ [_90090, _90092, _90094, _90096] = _90092]], ron(_90092, _90096), _90092 = _90090, rpoint(_90090), _90096 = _90094, rcircle(_90094)], (356 ^ _31489) ^ [] : [vd1287 = vd1289], (595 ^ _31489) ^ [_40257, _40259, _40261, _40263, _40265, _40267, _40269, _40271] : [-(vf(_40271, vskolem1120(_40271, _40269, _40267, _40265, _40263, _40261, _40259, _40257)) = vf(_40263, _40259)), rless(vf(_40263, _40259), vf(_40271, _40267)), -(_40263 = _40259), -(_40271 = _40267), _40259 = _40257, rpoint(_40257), _40263 = _40261, rpoint(_40261), _40267 = _40265, rpoint(_40265), _40271 = _40269, rpoint(_40269)], (641 ^ _31489) ^ [_41026, _41028, _41030, _41032, _41034, _41036, _41038, _41040] : [-(rR(vskolem1120(_41040, _41038, _41036, _41034, _41032, _41030, _41028, _41026), _41040, _41036)), rless(vf(_41032, _41028), vf(_41040, _41036)), -(_41032 = _41028), -(_41040 = _41036), _41028 = _41026, rpoint(_41026), _41032 = _41030, rpoint(_41030), _41036 = _41034, rpoint(_41034), _41040 = _41038, rpoint(_41038)], (4050 ^ _31489) ^ [_94675, _94677, _94679, _94681, _94683, _94685] : [4110 ^ _31489 : [(4113 ^ _31489) ^ [] : [4109 ^ [_94675, _94677, _94679, _94681, _94683, _94685] = _94677], (4115 ^ _31489) ^ [] : [-(rR(4109 ^ [_94675, _94677, _94679, _94681, _94683, _94685], _94681, _94679))], (4117 ^ _31489) ^ [] : [-(rpoint(4109 ^ [_94675, _94677, _94679, _94681, _94683, _94685]))], (4111 ^ _31489) ^ [] : [4109 ^ [_94675, _94677, _94679, _94681, _94683, _94685] = _94675]], rR(_94675, _94681, _94679), rR(_94677, _94681, _94679), ron(_94677, _94685), ron(_94679, _94685), ron(_94681, _94685), 4073 ^ _31489 : [(4074 ^ _31489) ^ [_95131] : [_94675 = _95131, rpoint(_95131)]], 4081 ^ _31489 : [(4082 ^ _31489) ^ [_95245] : [_94677 = _95245, rpoint(_95245)]], 4089 ^ _31489 : [(4090 ^ _31489) ^ [_95359] : [_94679 = _95359, rpoint(_95359)]], 4097 ^ _31489 : [(4098 ^ _31489) ^ [_95473] : [_94681 = _95473, rpoint(_95473)]], _94685 = _94683, rline(_94683)], (779 ^ _31489) ^ [_43245, _43247, _43249, _43251, _43253] : [-(ron(_43249, _43247)), _43247 = _43245, ron(_43251, _43247), ron(_43253, _43247), rR(_43251, _43253, _43249), rline(_43245), 802 ^ _31489 : [(803 ^ _31489) ^ [_43629] : [_43249 = _43629, rpoint(_43629)]], 810 ^ _31489 : [(811 ^ _31489) ^ [_43739] : [_43251 = _43739, rpoint(_43739)]], 816 ^ _31489 : [(817 ^ _31489) ^ [_43822] : [_43253 = _43822, rpoint(_43822)]]], (361 ^ _31489) ^ [] : [-(vd1289 = 359 ^ [])], (3958 ^ _31489) ^ [_93213, _93215, _93217, _93219, _93221, _93223] : [4002 ^ _31489 : [(4007 ^ _31489) ^ [] : [-(rpoint(4001 ^ [_93213, _93215, _93217, _93219, _93221, _93223]))], (4005 ^ _31489) ^ [] : [-(rR(_93217, _93219, 4001 ^ [_93213, _93215, _93217, _93219, _93221, _93223]))], (4003 ^ _31489) ^ [] : [4001 ^ [_93213, _93215, _93217, _93219, _93221, _93223] = _93215]], _93215 = _93213, rR(_93217, _93219, _93215), rpoint(_93213), ron(_93217, _93223), ron(_93219, _93223), 3981 ^ _31489 : [(3982 ^ _31489) ^ [_93625] : [_93217 = _93625, rpoint(_93625)]], 3989 ^ _31489 : [(3990 ^ _31489) ^ [_93739] : [_93219 = _93739, rpoint(_93739)]], _93223 = _93221, rline(_93221)], (4459 ^ _31489) ^ [_101428, _101430, _101432, _101434] : [4466 ^ _31489 : [(4476 ^ _31489) ^ [] : [-(rpoint(4472 ^ [_101428, _101430, _101432, _101434]))], (4467 ^ _31489) ^ [] : [_101432 = _101430], (4469 ^ _31489) ^ [] : [_101434 = _101430], (4481 ^ _31489) ^ [] : [-(rpoint(4477 ^ [_101428, _101430, _101432, _101434]))], (4479 ^ _31489) ^ [] : [-(_101432 = 4477 ^ [_101428, _101430, _101432, _101434])], (4486 ^ _31489) ^ [] : [-(rpoint(4482 ^ [_101428, _101430, _101432, _101434]))], (4474 ^ _31489) ^ [] : [-(_101430 = 4472 ^ [_101428, _101430, _101432, _101434])], (4484 ^ _31489) ^ [] : [-(_101434 = 4482 ^ [_101428, _101430, _101432, _101434])], (4471 ^ _31489) ^ [] : [_101434 = _101432]], vtriangle(_101434, _101432, _101430) = _101428, rtriangle(_101428)], (350 ^ _31489) ^ [] : [-(rR(vd1288, vd1287, vd1299))], (204 ^ _31489) ^ [_34291, _34293, _34295, _34297, _34299, _34301, _34303, _34305, _34307, _34309, _34311, _34313, _34315, _34317, _34319, _34321] : [-(vskolem1120(_34321, _34317, _34313, _34309, _34305, _34301, _34297, _34293) = vskolem1120(_34319, _34315, _34311, _34307, _34303, _34299, _34295, _34291)), _34321 = _34319, _34317 = _34315, _34313 = _34311, _34309 = _34307, _34305 = _34303, _34301 = _34299, _34297 = _34295, _34293 = _34291], (2168 ^ _31489) ^ [_64633, _64635, _64637, _64639] : [2184 ^ _31489 : [(2187 ^ _31489) ^ [] : [-(rreal(2183 ^ [_64633, _64635, _64637, _64639]))], (2185 ^ _31489) ^ [] : [-(vplus(_64639, _64635) = 2183 ^ [_64633, _64635, _64637, _64639])]], _64635 = _64633, rreal(_64633), _64639 = _64637, rreal(_64637)], (829 ^ _31489) ^ [] : [-(ron(vd1306, vd1297))], (2189 ^ _31489) ^ [_64935, _64937, _64939, _64941] : [-(rintersect(_64937, _64935)), ron(_64939, _64935), rinside(_64941, _64935), rinside(_64939, _64937), ron(_64941, _64937), 2208 ^ _31489 : [(2209 ^ _31489) ^ [_65235] : [_64939 = _65235, rpoint(_65235)]], 2214 ^ _31489 : [(2215 ^ _31489) ^ [_65316] : [_64941 = _65316, rpoint(_65316)]]], (833 ^ _31489) ^ [] : [-(ron(vd1299, vd1295))], (2773 ^ _31489) ^ [_74269, _74271, _74273, _74275, _74277, _74279, _74281] : [-(rS(_74273, _74271, _74277)), -(_74273 = _74275), -(ron(_74269, _74279)), -(rS(_74273, _74269, _74279)), rS(_74271, _74269, _74281), ron(_74269, _74277), ron(_74271, _74279), ron(_74273, _74281), ron(_74275, _74277), ron(_74275, _74279), ron(_74275, _74281), 2816 ^ _31489 : [(2817 ^ _31489) ^ [_75059] : [_74269 = _75059, rpoint(_75059)]], 2824 ^ _31489 : [(2825 ^ _31489) ^ [_75177] : [_74271 = _75177, rpoint(_75177)]], 2832 ^ _31489 : [(2833 ^ _31489) ^ [_75295] : [_74273 = _75295, rpoint(_75295)]], 2840 ^ _31489 : [(2841 ^ _31489) ^ [_75413] : [_74275 = _75413, rpoint(_75413)]], 2848 ^ _31489 : [(2849 ^ _31489) ^ [_75531] : [_74277 = _75531, rline(_75531)]], 2856 ^ _31489 : [(2857 ^ _31489) ^ [_75649] : [_74279 = _75649, rline(_75649)]], 2862 ^ _31489 : [(2863 ^ _31489) ^ [_75736] : [_74281 = _75736, rline(_75736)]]], (152 ^ _31489) ^ [_33559, _33561, _33563, _33565] : [-(rintersect(_33563, _33559)), rintersect(_33565, _33561), _33565 = _33563, _33561 = _33559], (3931 ^ _31489) ^ [_92785, _92787, _92789, _92791] : [3951 ^ _31489 : [(3956 ^ _31489) ^ [] : [-(rpoint(3950 ^ [_92785, _92787, _92789, _92791]))], (3954 ^ _31489) ^ [] : [-(rS(3950 ^ [_92785, _92787, _92789, _92791], _92787, _92791))], (3952 ^ _31489) ^ [] : [3950 ^ [_92785, _92787, _92789, _92791] = _92787]], _92787 = _92785, -(ron(_92787, _92791)), rpoint(_92785), _92791 = _92789, rline(_92789)], (2675 ^ _31489) ^ [_72600, _72602, _72604, _72606, _72608, _72610, _72612, _72614] : [-(rS(_72604, _72600, _72614)), rS(_72604, _72600, _72610), rS(_72602, _72600, _72612), rS(_72606, _72604, _72610), rS(_72604, _72602, _72614), ron(_72602, _72610), ron(_72604, _72612), ron(_72606, _72614), ron(_72608, _72610), ron(_72608, _72612), ron(_72608, _72614), 2718 ^ _31489 : [(2719 ^ _31489) ^ [_73409] : [_72602 = _73409, rpoint(_73409)]], 2726 ^ _31489 : [(2727 ^ _31489) ^ [_73531] : [_72604 = _73531, rpoint(_73531)]], 2734 ^ _31489 : [(2735 ^ _31489) ^ [_73653] : [_72606 = _73653, rpoint(_73653)]], 2742 ^ _31489 : [(2743 ^ _31489) ^ [_73775] : [_72608 = _73775, rpoint(_73775)]], 2750 ^ _31489 : [(2751 ^ _31489) ^ [_73897] : [_72610 = _73897, rline(_73897)]], 2758 ^ _31489 : [(2759 ^ _31489) ^ [_74019] : [_72612 = _74019, rline(_74019)]], 2764 ^ _31489 : [(2765 ^ _31489) ^ [_74108] : [_72614 = _74108, rline(_74108)]]], (2961 ^ _31489) ^ [_77389, _77391, _77393, _77395, _77397] : [-(rR(_77395, _77397, _77393)), ron(_77395, _77391), ron(_77395, _77389), -(rS(_77397, _77393, _77391)), ron(_77393, _77389), ron(_77397, _77389), -(_77391 = _77389), 2988 ^ _31489 : [(2989 ^ _31489) ^ [_77894] : [_77389 = _77894, rline(_77894)]], 2996 ^ _31489 : [(2997 ^ _31489) ^ [_78004] : [_77391 = _78004, rline(_78004)]], -(_77395 = _77393), -(_77397 = _77393), -(_77397 = _77395), 3016 ^ _31489 : [(3017 ^ _31489) ^ [_78267] : [_77393 = _78267, rpoint(_78267)]], 3024 ^ _31489 : [(3025 ^ _31489) ^ [_78377] : [_77395 = _78377, rpoint(_78377)]], 3030 ^ _31489 : [(3031 ^ _31489) ^ [_78460] : [_77397 = _78460, rpoint(_78460)]]], (2001 ^ _31489) ^ [_62285, _62287, _62289] : [-(vplus(vf(_62289, _62287), vf(_62287, _62285)) = vf(_62289, _62285)), rR(_62287, _62289, _62285), 2008 ^ _31489 : [(2009 ^ _31489) ^ [_62447] : [_62285 = _62447, rpoint(_62447)]], 2016 ^ _31489 : [(2017 ^ _31489) ^ [_62549] : [_62287 = _62549, rpoint(_62549)]], 2022 ^ _31489 : [(2023 ^ _31489) ^ [_62628] : [_62289 = _62628, rpoint(_62628)]]], (2 ^ _31489) ^ [_31516] : [-(_31516 = _31516)], (1414 ^ _31489) ^ [_53491, _53493, _53495, _53497, _53499, _53501] : [1437 ^ _31489 : [(1444 ^ _31489) ^ [] : [ron(_53501, _53495), -(vf(_53497, _53501) = vf(_53497, _53493))], (1438 ^ _31489) ^ [] : [vf(_53497, _53501) = vf(_53497, _53493), -(ron(_53501, _53495))]], ron(_53493, _53495), _53493 = _53491, rpoint(_53491), rcenter(_53497, _53495), _53501 = _53499, rpoint(_53499)], (573 ^ _31489) ^ [] : [-(rless(vf(vd1287, vd1299), vf(vd1287, vd1302)))], (3377 ^ _31489) ^ [_83709, _83711, _83713, _83715, _83717, _83719, _83721] : [3425 ^ _31489 : [(3428 ^ _31489) ^ [] : [-(ron(3424 ^ [_83709, _83711, _83713, _83715, _83717, _83719, _83721], _83719))], (3430 ^ _31489) ^ [] : [-(ron(3424 ^ [_83709, _83711, _83713, _83715, _83717, _83719, _83721], _83721))], (3432 ^ _31489) ^ [] : [-(rpoint(3424 ^ [_83709, _83711, _83713, _83715, _83717, _83719, _83721]))], (3426 ^ _31489) ^ [] : [rS(3424 ^ [_83709, _83711, _83713, _83715, _83717, _83719, _83721], _83709, _83717)]], -(ron(_83709, _83717)), ron(_83711, _83717), ron(_83713, _83717), rcenter(_83711, _83719), rcenter(_83713, _83721), rintersect(_83721, _83719), _83717 = _83715, rline(_83715), 3412 ^ _31489 : [(3413 ^ _31489) ^ [_84311] : [_83719 = _84311, rcircle(_84311)]], 3418 ^ _31489 : [(3419 ^ _31489) ^ [_84398] : [_83721 = _84398, rcircle(_84398)]]], (348 ^ _31489) ^ [] : [-(rpoint(vd1303))], (457 ^ _31489) ^ [] : [-(rpoint(vd1300))], (4345 ^ _31489) ^ [_99484, _99486, _99488, _99490] : [4377 ^ _31489 : [(4378 ^ _31489) ^ [] : [4376 ^ [_99484, _99486, _99488, _99490] = _99484], (4382 ^ _31489) ^ [] : [4376 ^ [_99484, _99486, _99488, _99490] = _99488], (4386 ^ _31489) ^ [] : [-(rpoint(4376 ^ [_99484, _99486, _99488, _99490]))], (4384 ^ _31489) ^ [] : [4376 ^ [_99484, _99486, _99488, _99490] = _99490], (4380 ^ _31489) ^ [] : [4376 ^ [_99484, _99486, _99488, _99490] = _99486]], 4348 ^ _31489 : [(4349 ^ _31489) ^ [_99636] : [_99484 = _99636, rpoint(_99636)]], 4356 ^ _31489 : [(4357 ^ _31489) ^ [_99742] : [_99486 = _99742, rpoint(_99742)]], 4364 ^ _31489 : [(4365 ^ _31489) ^ [_99848] : [_99488 = _99848, rpoint(_99848)]], 4370 ^ _31489 : [(4371 ^ _31489) ^ [_99929] : [_99490 = _99929, rpoint(_99929)]]], (1979 ^ _31489) ^ [_61973, _61975, _61977, _61979] : [-(rpoint(vskolem1052(_61979, _61977, _61975, _61973))), _61975 = _61973, -(_61979 = _61975), rpoint(_61973), _61979 = _61977, rpoint(_61977)], (4761 ^ _31489) ^ [_108934, _108936, _108938, _108940, _108942, _108944] : [4828 ^ _31489 : [(4835 ^ _31489) ^ [] : [vplus(vg(_108944, _108940, _108938), vg(_108938, _108940, _108942)) = vg(_108944, _108938, _108942), -(rR(_108940, _108944, _108942))], (4829 ^ _31489) ^ [] : [rR(_108940, _108944, _108942), -(vplus(vg(_108944, _108940, _108938), vg(_108938, _108940, _108942)) = vg(_108944, _108938, _108942))]], -(ron(_108938, _108936)), _108936 = _108934, rline(_108934), -(_108940 = _108938), -(_108942 = _108938), -(_108942 = _108940), -(_108944 = _108938), -(_108944 = _108940), -(_108944 = _108942), 4800 ^ _31489 : [(4801 ^ _31489) ^ [_109621] : [_108938 = _109621, rpoint(_109621)]], 4808 ^ _31489 : [(4809 ^ _31489) ^ [_109735] : [_108940 = _109735, rpoint(_109735)]], 4816 ^ _31489 : [(4817 ^ _31489) ^ [_109849] : [_108942 = _109849, rpoint(_109849)]], 4822 ^ _31489 : [(4823 ^ _31489) ^ [_109934] : [_108944 = _109934, rpoint(_109934)]]], (3127 ^ _31489) ^ [_79965, _79967, _79969, _79971, _79973] : [-(rS(_79973, _79971, _79967)), rS(_79973, _79969, _79967), rR(_79971, _79973, _79969), _79967 = _79965, rline(_79965), 3146 ^ _31489 : [(3147 ^ _31489) ^ [_80296] : [_79969 = _80296, rpoint(_80296)]], 3154 ^ _31489 : [(3155 ^ _31489) ^ [_80406] : [_79971 = _80406, rpoint(_80406)]], 3160 ^ _31489 : [(3161 ^ _31489) ^ [_80489] : [_79973 = _80489, rpoint(_80489)]]], (2223 ^ _31489) ^ [_65436, _65438, _65440, _65442] : [-(rintersect(_65438, _65436)), -(rinside(_65440, _65436)), -(ron(_65440, _65436)), rinside(_65442, _65436), 2238 ^ _31489 : [(2241 ^ _31489) ^ [] : [rinside(_65440, _65438)], (2239 ^ _31489) ^ [] : [ron(_65440, _65438)]], ron(_65442, _65438), 2248 ^ _31489 : [(2249 ^ _31489) ^ [_65864] : [_65436 = _65864, rcircle(_65864)]], 2256 ^ _31489 : [(2257 ^ _31489) ^ [_65970] : [_65438 = _65970, rcircle(_65970)]], 2264 ^ _31489 : [(2265 ^ _31489) ^ [_66076] : [_65440 = _66076, rpoint(_66076)]], 2270 ^ _31489 : [(2271 ^ _31489) ^ [_66157] : [_65442 = _66157, rpoint(_66157)]]]], input).
% 55.76/54.26 ncf('1',plain,[vangle(vd1288, vd1287, vd1289) = vangle(vd1288, vd1287, vd1306)],start(5230 ^ 0)).
% 55.76/54.26 ncf('1.1',plain,[-(vangle(vd1288, vd1287, vd1289) = vangle(vd1288, vd1287, vd1306)), -(rR(vd1287, vd1289, vd1306)), -(rR(vd1287, vd1288, vd1288)), -(vd1306 = vd1287), -(vd1288 = vd1287), -(vd1289 = vd1287), -(vd1288 = vd1287), ron(vd1306, vd1297), ron(vd1289, vd1297), ron(vd1288, 947 ^ [vd1287, vd1288]), ron(vd1288, 947 ^ [vd1287, vd1288]), ron(vd1287, 947 ^ [vd1287, vd1288]), 507 : vd1297 = vd1297, 507 : rline(vd1297), 515 : 947 ^ [vd1287, vd1288] = 947 ^ [vd1287, vd1288], 515 : rline(947 ^ [vd1287, vd1288]), 523 : vd1306 = vd1306, 523 : rpoint(vd1306), 531 : vd1288 = 364 ^ [], 531 : rpoint(364 ^ []), 539 : vd1289 = 359 ^ [], 539 : rpoint(359 ^ []), 547 : vd1288 = 364 ^ [], 547 : rpoint(364 ^ []), 553 : vd1287 = 369 ^ [], 553 : rpoint(369 ^ [])],extension(459 ^ 1,bind([[_38204, _38206, _38208, _38210, _38212, _38214, _38216, _39070, _39188, _39306, _39424, _39542, _39660, _39747], [vd1297, 947 ^ [vd1287, vd1288], vd1306, vd1288, vd1289, vd1288, vd1287, vd1297, 947 ^ [vd1287, vd1288], vd1306, 364 ^ [], 359 ^ [], 364 ^ [], 369 ^ []]]))).
% 55.76/54.26 ncf('1.1.1',plain,[rR(vd1287, vd1289, vd1306)],extension(336 ^ 2)).
% 55.76/54.26 ncf('1.1.2',plain,[rR(vd1287, vd1288, vd1288), rR(vd1287, vd1288, vd1288), rR(vd1287, vd1288, vd1288), 3329 : vd1288 = 364 ^ [], 3329 : rpoint(364 ^ []), 3337 : vd1288 = 364 ^ [], 3337 : rpoint(364 ^ []), 3345 : vd1287 = 369 ^ [], 3345 : rpoint(369 ^ []), 3351 : vd1288 = 364 ^ [], 3351 : rpoint(364 ^ [])],extension(3317 ^ 2,bind([[_82814, _82816, _82818, _82820, _83045, _83151, _83257, _83338], [vd1288, vd1288, vd1287, vd1288, 364 ^ [], 364 ^ [], 369 ^ [], 364 ^ []]]))).
% 55.76/54.26 ncf('1.1.2.1',plain,[-(rR(vd1287, vd1288, vd1288))],reduction('1.1')).
% 55.76/54.26 ncf('1.1.2.2',plain,[-(rR(vd1287, vd1288, vd1288))],lemmata('[1, 1].x')).
% 55.76/54.26 ncf('1.1.2.3',plain,[-(vd1288 = 364 ^ [])],extension(366 ^ 5)).
% 55.76/54.26 ncf('1.1.2.4',plain,[-(rpoint(364 ^ []))],extension(368 ^ 5)).
% 55.76/54.26 ncf('1.1.2.5',plain,[-(vd1288 = 364 ^ [])],extension(366 ^ 5)).
% 55.76/54.26 ncf('1.1.2.6',plain,[-(rpoint(364 ^ []))],extension(368 ^ 5)).
% 55.76/54.26 ncf('1.1.2.7',plain,[-(vd1287 = 369 ^ [])],extension(371 ^ 5)).
% 55.76/54.26 ncf('1.1.2.8',plain,[-(rpoint(369 ^ []))],extension(373 ^ 5)).
% 55.76/54.26 ncf('1.1.2.9',plain,[-(vd1288 = 364 ^ [])],extension(366 ^ 5)).
% 55.76/54.26 ncf('1.1.2.10',plain,[-(rpoint(364 ^ []))],extension(368 ^ 5)).
% 55.76/54.26 ncf('1.1.3',plain,[vd1306 = vd1287],extension(453 ^ 2)).
% 55.76/54.26 ncf('1.1.4',plain,[vd1288 = vd1287],extension(577 ^ 2)).
% 55.76/54.26 ncf('1.1.5',plain,[vd1289 = vd1287],extension(567 ^ 2)).
% 55.76/54.26 ncf('1.1.6',plain,[vd1288 = vd1287],lemmata('[1].x')).
% 55.76/54.26 ncf('1.1.7',plain,[-(ron(vd1306, vd1297))],extension(571 ^ 2)).
% 55.76/54.26 ncf('1.1.8',plain,[-(ron(vd1289, vd1297))],extension(825 ^ 2)).
% 55.76/54.26 ncf('1.1.9',plain,[-(ron(vd1288, 947 ^ [vd1287, vd1288])), -(vd1288 = vd1287), 936 : vd1287 = 369 ^ [], 936 : rpoint(369 ^ []), 942 : vd1288 = 364 ^ [], 942 : rpoint(364 ^ [])],extension(928 ^ 2,bind([[_45482, _45484, _45627, _45704], [vd1287, vd1288, 369 ^ [], 364 ^ []]]))).
% 55.76/54.26 ncf('1.1.9.1',plain,[vd1288 = vd1287],extension(577 ^ 3)).
% 55.76/54.26 ncf('1.1.9.2',plain,[-(vd1287 = 369 ^ [])],extension(371 ^ 5)).
% 55.76/54.26 ncf('1.1.9.3',plain,[-(rpoint(369 ^ []))],extension(373 ^ 5)).
% 55.76/54.26 ncf('1.1.9.4',plain,[-(vd1288 = 364 ^ [])],extension(366 ^ 5)).
% 55.76/54.26 ncf('1.1.9.5',plain,[-(rpoint(364 ^ []))],extension(368 ^ 5)).
% 55.76/54.26 ncf('1.1.10',plain,[-(ron(vd1288, 947 ^ [vd1287, vd1288]))],lemmata('[1].x')).
% 55.76/54.26 ncf('1.1.11',plain,[-(ron(vd1287, 947 ^ [vd1287, vd1288])), -(vd1288 = vd1287), 936 : vd1287 = 369 ^ [], 936 : rpoint(369 ^ []), 942 : vd1288 = 364 ^ [], 942 : rpoint(364 ^ [])],extension(928 ^ 2,bind([[_45482, _45484, _45627, _45704], [vd1287, vd1288, 369 ^ [], 364 ^ []]]))).
% 55.76/54.26 ncf('1.1.11.1',plain,[vd1288 = vd1287],lemmata('[1].x')).
% 55.76/54.26 ncf('1.1.11.2',plain,[-(vd1287 = 369 ^ [])],extension(371 ^ 5)).
% 55.76/54.26 ncf('1.1.11.3',plain,[-(rpoint(369 ^ []))],extension(373 ^ 5)).
% 55.76/54.26 ncf('1.1.11.4',plain,[-(vd1288 = 364 ^ [])],extension(366 ^ 5)).
% 55.76/54.26 ncf('1.1.11.5',plain,[-(rpoint(364 ^ []))],extension(368 ^ 5)).
% 55.76/54.26 ncf('1.1.12',plain,[-(vd1297 = vd1297)],extension(2 ^ 4,bind([[_31516], [vd1297]]))).
% 55.76/54.26 ncf('1.1.13',plain,[-(rline(vd1297))],extension(587 ^ 4)).
% 55.76/54.26 ncf('1.1.14',plain,[-(947 ^ [vd1287, vd1288] = 947 ^ [vd1287, vd1288])],extension(2 ^ 4,bind([[_31516], [947 ^ [vd1287, vd1288]]]))).
% 55.76/54.26 ncf('1.1.15',plain,[-(rline(947 ^ [vd1287, vd1288])), -(vd1288 = vd1287), 936 : vd1287 = 369 ^ [], 936 : rpoint(369 ^ []), 942 : vd1288 = 364 ^ [], 942 : rpoint(364 ^ [])],extension(928 ^ 4,bind([[_45482, _45484, _45627, _45704], [vd1287, vd1288, 369 ^ [], 364 ^ []]]))).
% 55.76/54.26 ncf('1.1.15.1',plain,[vd1288 = vd1287],lemmata('[1].x')).
% 55.76/54.26 ncf('1.1.15.2',plain,[-(vd1287 = 369 ^ [])],extension(371 ^ 7)).
% 55.76/54.26 ncf('1.1.15.3',plain,[-(rpoint(369 ^ []))],extension(373 ^ 7)).
% 55.76/54.26 ncf('1.1.15.4',plain,[-(vd1288 = 364 ^ [])],extension(366 ^ 7)).
% 55.76/54.26 ncf('1.1.15.5',plain,[-(rpoint(364 ^ []))],extension(368 ^ 7)).
% 55.76/54.26 ncf('1.1.16',plain,[-(vd1306 = vd1306)],extension(2 ^ 4,bind([[_31516], [vd1306]]))).
% 55.76/54.26 ncf('1.1.17',plain,[-(rpoint(vd1306))],extension(342 ^ 4)).
% 55.76/54.26 ncf('1.1.18',plain,[-(vd1288 = 364 ^ [])],extension(366 ^ 4)).
% 55.76/54.26 ncf('1.1.19',plain,[-(rpoint(364 ^ []))],extension(368 ^ 4)).
% 55.76/54.26 ncf('1.1.20',plain,[-(vd1289 = 359 ^ [])],extension(361 ^ 4)).
% 55.76/54.26 ncf('1.1.21',plain,[-(rpoint(359 ^ []))],extension(363 ^ 4)).
% 55.76/54.26 ncf('1.1.22',plain,[-(vd1288 = 364 ^ [])],extension(366 ^ 4)).
% 55.76/54.26 ncf('1.1.23',plain,[-(rpoint(364 ^ []))],extension(368 ^ 4)).
% 55.76/54.26 ncf('1.1.24',plain,[-(vd1287 = 369 ^ [])],extension(371 ^ 4)).
% 55.76/54.26 ncf('1.1.25',plain,[-(rpoint(369 ^ []))],extension(373 ^ 4)).
% 55.76/54.26 %-----------------------------------------------------
% 55.76/54.26 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------