%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO272+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n007.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 44.43s 43.84s
% Output   : Proof 44.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO272+1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n007.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 04:26:38 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 44.43/43.84  
% 44.43/43.84  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 44.43/43.84  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 44.43/43.84  %-----------------------------------------------------
% 44.43/43.84  ncf(matrix, plain, [(4575 ^ _355433) ^ [] : [-(rcenter(vd1057, 4571 ^ []))], (4577 ^ _355433) ^ [] : [-(rcircle(4571 ^ []))], (4579 ^ _355433) ^ [] : [4571 ^ [] = vd1063], (4573 ^ _355433) ^ [] : [-(ron(vd1055, 4571 ^ []))], !, (4491 ^ _196263) ^ [_351431, _351433] : [4507 ^ _196263 : [(4512 ^ _196263) ^ [] : [-(rpoint(4506 ^ [_351431, _351433]))], (4510 ^ _196263) ^ [] : [4506 ^ [_351431, _351433] = _351433], (4508 ^ _196263) ^ [] : [4506 ^ [_351431, _351433] = _351431]], 4494 ^ _196263 : [(4495 ^ _196263) ^ [_351592] : [_351431 = _351592, rpoint(_351592)]], 4500 ^ _196263 : [(4501 ^ _196263) ^ [_351775] : [_351433 = _351775, rpoint(_351775)]]], (1842 ^ _196263) ^ [_262458, _262460, _262462, _262464] : [-(rintersect(_262460, _262458)), -(rinside(_262462, _262458)), -(ron(_262462, _262458)), rinside(_262464, _262458), 1857 ^ _196263 : [(1860 ^ _196263) ^ [] : [rinside(_262462, _262460)], (1858 ^ _196263) ^ [] : [ron(_262462, _262460)]], ron(_262464, _262460), 1867 ^ _196263 : [(1868 ^ _196263) ^ [_263187] : [_262458 = _263187, rcircle(_263187)]], 1875 ^ _196263 : [(1876 ^ _196263) ^ [_263424] : [_262460 = _263424, rcircle(_263424)]], 1883 ^ _196263 : [(1884 ^ _196263) ^ [_263661] : [_262462 = _263661, rpoint(_263661)]], 1889 ^ _196263 : [(1890 ^ _196263) ^ [_263860] : [_262464 = _263860, rpoint(_263860)]]], (1659 ^ _196263) ^ [_256974, _256976, _256978, _256980, _256982, _256984] : [-(rless(_256984, _256976)), rless(_256980, _256976), rless(_256984, _256980), _256976 = _256974, rreal(_256974), _256980 = _256978, rreal(_256978), _256984 = _256982, rreal(_256982)], (4529 ^ _196263) ^ [_352786, _352788, _352790, _352792] : [4536 ^ _196263 : [(4546 ^ _196263) ^ [] : [-(rpoint(4542 ^ [_352786, _352788, _352790, _352792]))], (4537 ^ _196263) ^ [] : [_352790 = _352788], (4539 ^ _196263) ^ [] : [_352792 = _352788], (4551 ^ _196263) ^ [] : [-(rpoint(4547 ^ [_352786, _352788, _352790, _352792]))], (4549 ^ _196263) ^ [] : [-(_352790 = 4547 ^ [_352786, _352788, _352790, _352792])], (4556 ^ _196263) ^ [] : [-(rpoint(4552 ^ [_352786, _352788, _352790, _352792]))], (4544 ^ _196263) ^ [] : [-(_352788 = 4542 ^ [_352786, _352788, _352790, _352792])], (4554 ^ _196263) ^ [] : [-(_352792 = 4552 ^ [_352786, _352788, _352790, _352792])], (4541 ^ _196263) ^ [] : [_352792 = _352790]], vtriangle(_352792, _352790, _352788) = _352786, rtriangle(_352786)], (72 ^ _196263) ^ [_198666, _198668, _198670, _198672] : [-(rintersect(_198670, _198666)), rintersect(_198672, _198668), _198672 = _198670, _198668 = _198666], (4028 ^ _196263) ^ [_335430, _335432, _335434, _335436, _335438, _335440] : [4072 ^ _196263 : [(4077 ^ _196263) ^ [] : [-(rpoint(4071 ^ [_335430, _335432, _335434, _335436, _335438, _335440]))], (4075 ^ _196263) ^ [] : [-(rR(_335434, _335436, 4071 ^ [_335430, _335432, _335434, _335436, _335438, _335440]))], (4073 ^ _196263) ^ [] : [4071 ^ [_335430, _335432, _335434, _335436, _335438, _335440] = _335432]], _335432 = _335430, rR(_335434, _335436, _335432), rpoint(_335430), ron(_335434, _335440), ron(_335436, _335440), 4051 ^ _196263 : [(4052 ^ _196263) ^ [_336122] : [_335434 = _336122, rpoint(_336122)]], 4059 ^ _196263 : [(4060 ^ _196263) ^ [_336379] : [_335436 = _336379, rpoint(_336379)]], _335440 = _335438, rline(_335438)], (3386 ^ _196263) ^ [_312881, _312883, _312885, _312887, _312889, _312891, _312893] : [3434 ^ _196263 : [(3437 ^ _196263) ^ [] : [-(ron(3433 ^ [_312881, _312883, _312885, _312887, _312889, _312891, _312893], _312891))], (3439 ^ _196263) ^ [] : [-(ron(3433 ^ [_312881, _312883, _312885, _312887, _312889, _312891, _312893], _312893))], (3441 ^ _196263) ^ [] : [-(rpoint(3433 ^ [_312881, _312883, _312885, _312887, _312889, _312891, _312893]))], (3435 ^ _196263) ^ [] : [rS(3433 ^ [_312881, _312883, _312885, _312887, _312889, _312891, _312893], _312881, _312889)]], -(ron(_312881, _312889)), ron(_312883, _312889), ron(_312885, _312889), rcenter(_312883, _312891), rcenter(_312885, _312893), rintersect(_312893, _312891), _312889 = _312887, rline(_312887), 3421 ^ _196263 : [(3422 ^ _196263) ^ [_313908] : [_312891 = _313908, rcircle(_313908)]], 3427 ^ _196263 : [(3428 ^ _196263) ^ [_314131] : [_312893 = _314131, rcircle(_314131)]]], (194 ^ _196263) ^ [_202497, _202499] : [-(rcircle(_202497)), _202499 = _202497, rcircle(_202499)], (3008 ^ _196263) ^ [_300856, _300858, _300860, _300862, _300864] : [-(rR(_300862, _300864, _300860)), -(rR(_300864, _300862, _300860)), -(rR(_300860, _300864, _300862)), _300858 = _300856, ron(_300860, _300858), ron(_300862, _300858), ron(_300864, _300858), rline(_300856), -(_300862 = _300860), -(_300864 = _300860), -(_300864 = _300862), 3043 ^ _196263 : [(3044 ^ _196263) ^ [_301823] : [_300860 = _301823, rpoint(_301823)]], 3051 ^ _196263 : [(3052 ^ _196263) ^ [_302070] : [_300862 = _302070, rpoint(_302070)]], 3057 ^ _196263 : [(3058 ^ _196263) ^ [_302277] : [_300864 = _302277, rpoint(_302277)]]], (166 ^ _196263) ^ [_201657, _201659, _201661, _201663] : [-(ron(_201661, _201657)), ron(_201663, _201659), _201663 = _201661, _201659 = _201657], (1551 ^ _196263) ^ [_253400, _253402] : [1567 ^ _196263 : [(1570 ^ _196263) ^ [] : [-(rreal(1566 ^ [_253400, _253402]))], (1568 ^ _196263) ^ [] : [-(vf(_253402, _253400) = 1566 ^ [_253400, _253402])]], 1554 ^ _196263 : [(1555 ^ _196263) ^ [_253554] : [_253400 = _253554, rpoint(_253554)]], 1560 ^ _196263 : [(1561 ^ _196263) ^ [_253737] : [_253402 = _253737, rpoint(_253737)]]], (2294 ^ _196263) ^ [_277328, _277330, _277332, _277334, _277336, _277338, _277340, _277342] : [-(rS(_277332, _277328, _277342)), rS(_277332, _277328, _277338), rS(_277330, _277328, _277340), rS(_277334, _277332, _277338), rS(_277332, _277330, _277342), ron(_277330, _277338), ron(_277332, _277340), ron(_277334, _277342), ron(_277336, _277338), ron(_277336, _277340), ron(_277336, _277342), 2337 ^ _196263 : [(2338 ^ _196263) ^ [_278672] : [_277330 = _278672, rpoint(_278672)]], 2345 ^ _196263 : [(2346 ^ _196263) ^ [_278949] : [_277332 = _278949, rpoint(_278949)]], 2353 ^ _196263 : [(2354 ^ _196263) ^ [_279226] : [_277334 = _279226, rpoint(_279226)]], 2361 ^ _196263 : [(2362 ^ _196263) ^ [_279503] : [_277336 = _279503, rpoint(_279503)]], 2369 ^ _196263 : [(2370 ^ _196263) ^ [_279780] : [_277338 = _279780, rline(_279780)]], 2377 ^ _196263 : [(2378 ^ _196263) ^ [_280057] : [_277340 = _280057, rline(_280057)]], 2383 ^ _196263 : [(2384 ^ _196263) ^ [_280288] : [_277342 = _280288, rline(_280288)]]], (274 ^ _196263) ^ [_205322] : [-(_205322 = vskolem1061), ron(vd1057, _205322), rcenter(vd1055, _205322), rcircle(_205322)], (3744 ^ _196263) ^ [_325662, _325664, _325666, _325668] : [3764 ^ _196263 : [(3769 ^ _196263) ^ [] : [-(rpoint(3763 ^ [_325662, _325664, _325666, _325668]))], (3767 ^ _196263) ^ [] : [-(ron(3763 ^ [_325662, _325664, _325666, _325668], _325668))], (3765 ^ _196263) ^ [] : [-(ron(3763 ^ [_325662, _325664, _325666, _325668], _325664))]], rintersect(_325668, _325664), _325664 = _325662, rline(_325662), _325668 = _325666, rline(_325666)], (771 ^ _196263) ^ [_227317, _227319, _227321, _227323, _227325, _227327, _227329, _227331] : [870 ^ _196263 : [(871 ^ _196263) ^ [] : [-(rS(_227323, _227331, _227319)), ron(_227323, _227319), ron(_227323, _227321)], (881 ^ _196263) ^ [] : [-(rintersect(_227321, _227319))]], rless(vplus(vangle(_227331, _227329, _227327), vangle(_227329, _227327, _227325)), vplus(vperp, vperp)), rS(_227331, _227325, _227319), -(_227329 = _227327), ron(_227325, _227317), ron(_227327, _227317), ron(_227327, _227319), ron(_227329, _227319), ron(_227329, _227321), ron(_227331, _227321), 810 ^ _196263 : [(811 ^ _196263) ^ [_228605] : [_227317 = _228605, rline(_228605)]], 818 ^ _196263 : [(819 ^ _196263) ^ [_228882] : [_227319 = _228882, rline(_228882)]], 826 ^ _196263 : [(827 ^ _196263) ^ [_229159] : [_227321 = _229159, rline(_229159)]], 834 ^ _196263 : [(835 ^ _196263) ^ [_229436] : [_227323 = _229436, rpoint(_229436)]], 842 ^ _196263 : [(843 ^ _196263) ^ [_229713] : [_227325 = _229713, rpoint(_229713)]], 850 ^ _196263 : [(851 ^ _196263) ^ [_229990] : [_227327 = _229990, rpoint(_229990)]], 858 ^ _196263 : [(859 ^ _196263) ^ [_230267] : [_227329 = _230267, rpoint(_230267)]], 864 ^ _196263 : [(865 ^ _196263) ^ [_230498] : [_227331 = _230498, rpoint(_230498)]]], (270 ^ _196263) ^ [] : [-(rcircle(vd1063))], (1147 ^ _196263) ^ [_240113, _240115, _240117, _240119, _240121, _240123, _240125, _240127] : [1194 ^ _196263 : [(1195 ^ _196263) ^ [] : [-(vangle(_240123, _240127, _240119) = v0), -(rR(_240127, _240123, _240119)), ron(_240119, _240115)], (1205 ^ _196263) ^ [] : [vangle(_240123, _240127, _240119) = v0, 1208 ^ _196263 : [(1211 ^ _196263) ^ [] : [-(ron(_240119, _240115))], (1209 ^ _196263) ^ [] : [rR(_240127, _240123, _240119)]]]], ron(_240123, _240115), ron(_240127, _240115), -(_240127 = _240119), -(_240127 = _240123), _240115 = _240113, rline(_240113), _240119 = _240117, rpoint(_240117), _240123 = _240121, rpoint(_240121), _240127 = _240125, rpoint(_240125)], (1806 ^ _196263) ^ [] : [-(rreal(vd684))], (272 ^ _196263) ^ [] : [-(vd1060 = vskolem1061)], (4558 ^ _196263) ^ [_353972, _353974] : [rcenter(_353974, _353972), 4563 ^ _196263 : [(4566 ^ _196263) ^ [] : [-(rcircle(4562 ^ [_353972, _353974]))], (4568 ^ _196263) ^ [] : [-(_353974 = 4561 ^ [_353972, _353974])], (4570 ^ _196263) ^ [] : [-(rpoint(4561 ^ [_353972, _353974]))], (4564 ^ _196263) ^ [] : [-(_353972 = 4562 ^ [_353972, _353974])]]], (1453 ^ _196263) ^ [_250255, _250257, _250259] : [-(vangle(_250259, _250257, _250255) = vangle(_250255, _250257, _250259)), -(_250259 = _250255), -(_250259 = _250257), 1464 ^ _196263 : [(1465 ^ _196263) ^ [_250608] : [_250255 = _250608, rpoint(_250608)]], 1472 ^ _196263 : [(1473 ^ _196263) ^ [_250835] : [_250257 = _250835, rpoint(_250835)]], 1478 ^ _196263 : [(1479 ^ _196263) ^ [_251026] : [_250259 = _251026, rpoint(_251026)]]], (268 ^ _196263) ^ [] : [-(rcenter(vd1057, vd1063))], (3717 ^ _196263) ^ [_324771, _324773, _324775, _324777] : [3737 ^ _196263 : [(3742 ^ _196263) ^ [] : [-(rpoint(3736 ^ [_324771, _324773, _324775, _324777]))], (3740 ^ _196263) ^ [] : [-(ron(3736 ^ [_324771, _324773, _324775, _324777], _324773))], (3738 ^ _196263) ^ [] : [-(ron(3736 ^ [_324771, _324773, _324775, _324777], _324777))]], rintersect(_324773, _324777), _324773 = _324771, rline(_324771), _324777 = _324775, rcircle(_324775)], (300 ^ _196263) ^ [] : [-(vd1055 = vd1056)], (2224 ^ _196263) ^ [_275049, _275051, _275053, _275055, _275057, _275059, _275061] : [-(rR(_275061, _275059, _275057)), -(_275059 = _275057), ron(_275057, _275051), ron(_275059, _275051), rinside(_275061, _275051), ron(_275057, _275055), ron(_275059, _275055), ron(_275061, _275055), _275051 = _275049, rcircle(_275049), _275055 = _275053, rline(_275053), 2271 ^ _196263 : [(2272 ^ _196263) ^ [_276381] : [_275057 = _276381, rpoint(_276381)]], 2279 ^ _196263 : [(2280 ^ _196263) ^ [_276648] : [_275059 = _276648, rpoint(_276648)]], 2285 ^ _196263 : [(2286 ^ _196263) ^ [_276871] : [_275061 = _276871, rpoint(_276871)]]], (3314 ^ _196263) ^ [_310627, _310629, _310631, _310633] : [-(_310629 = _310627), rcenter(_310627, _310633), rcenter(_310629, _310633), _310633 = _310631, rcircle(_310631)], (34 ^ _196263) ^ [_197483, _197485, _197487, _197489] : [-(rleq(_197487, _197483)), rleq(_197489, _197485), _197489 = _197487, _197485 = _197483], (1703 ^ _196263) ^ [_258263, _258265, _258267, _258269] : [rless(_258265, _258269), -(_258269 = _258265), rless(_258269, _258265), _258265 = _258263, rreal(_258263), _258269 = _258267, rreal(_258267)], (2746 ^ _196263) ^ [_292447, _292449, _292451, _292453, _292455] : [-(rS(_292455, _292453, _292449)), rS(_292455, _292451, _292449), rR(_292453, _292455, _292451), _292449 = _292447, rline(_292447), 2765 ^ _196263 : [(2766 ^ _196263) ^ [_293007] : [_292451 = _293007, rpoint(_293007)]], 2773 ^ _196263 : [(2774 ^ _196263) ^ [_293254] : [_292453 = _293254, rpoint(_293254)]], 2779 ^ _196263 : [(2780 ^ _196263) ^ [_293461] : [_292455 = _293461, rpoint(_293461)]]], (48 ^ _196263) ^ [_197927, _197929, _197931, _197933] : [-(rless(_197931, _197927)), rless(_197933, _197929), _197933 = _197931, _197929 = _197927], (100 ^ _196263) ^ [_199582, _199584, _199586, _199588, _199590, _199592] : [-(rS(_199590, _199586, _199582)), rS(_199592, _199588, _199584), _199592 = _199590, _199588 = _199586, _199584 = _199582], (3286 ^ _196263) ^ [_309782, _309784, _309786, _309788] : [ron(_309788, _309784), rinside(_309788, _309784), _309784 = _309782, rcircle(_309782), _309788 = _309786, rpoint(_309786)], (290 ^ _196263) ^ [] : [-(rcenter(vd1055, vskolem1061))], (86 ^ _196263) ^ [_199110, _199112, _199114, _199116] : [-(rinside(_199114, _199110)), rinside(_199116, _199112), _199116 = _199114, _199112 = _199110], (1773 ^ _196263) ^ [_260256, _260258] : [-(vplus(_260258, v0) = _260258), _260258 = _260256, rreal(_260256)], (2944 ^ _196263) ^ [_298817, _298819, _298821, _298823] : [-(rS(_298823, _298823, _298819)), -(ron(_298823, _298819)), _298819 = _298817, rline(_298817), _298823 = _298821, rpoint(_298821)], (3867 ^ _196263) ^ [_329803, _329805] : [3875 ^ _196263 : [(3878 ^ _196263) ^ [] : [-(rpoint(3874 ^ [_329803, _329805]))], (3876 ^ _196263) ^ [] : [-(ron(3874 ^ [_329803, _329805], _329805))]], _329805 = _329803, rcircle(_329803)], (3681 ^ _196263) ^ [_323346, _323348, _323350, _323352] : [3702 ^ _196263 : [(3707 ^ _196263) ^ [] : [-(ron(3701 ^ [_323346, _323348, _323350, _323352], _323348))], (3713 ^ _196263) ^ [] : [-(ron(3700 ^ [_323346, _323348, _323350, _323352], _323348))], (3715 ^ _196263) ^ [] : [-(rpoint(3700 ^ [_323346, _323348, _323350, _323352]))], (3709 ^ _196263) ^ [] : [-(rpoint(3701 ^ [_323346, _323348, _323350, _323352]))], (3703 ^ _196263) ^ [] : [3700 ^ [_323346, _323348, _323350, _323352] = 3701 ^ [_323346, _323348, _323350, _323352]], (3705 ^ _196263) ^ [] : [-(ron(3701 ^ [_323346, _323348, _323350, _323352], _323352))], (3711 ^ _196263) ^ [] : [-(ron(3700 ^ [_323346, _323348, _323350, _323352], _323352))]], rintersect(_323348, _323352), _323348 = _323346, rline(_323346), _323352 = _323350, rcircle(_323350)], (2914 ^ _196263) ^ [_297855, _297857, _297859, _297861] : [-(rS(_297859, _297861, _297857)), rS(_297861, _297859, _297857), _297857 = _297855, rline(_297855), 2929 ^ _196263 : [(2930 ^ _196263) ^ [_298284] : [_297859 = _298284, rpoint(_298284)]], 2935 ^ _196263 : [(2936 ^ _196263) ^ [_298483] : [_297861 = _298483, rpoint(_298483)]]], (304 ^ _196263) ^ [_206129, _206131] : [324 ^ _196263 : [(329 ^ _196263) ^ [] : [-(rcircle(323 ^ [_206129, _206131]))], (327 ^ _196263) ^ [] : [-(rcenter(_206131, 323 ^ [_206129, _206131]))], (325 ^ _196263) ^ [] : [-(ron(_206129, 323 ^ [_206129, _206131]))]], -(_206131 = _206129), 311 ^ _196263 : [(312 ^ _196263) ^ [_206374] : [_206129 = _206374, rpoint(_206374)]], 317 ^ _196263 : [(318 ^ _196263) ^ [_206557] : [_206131 = _206557, rpoint(_206557)]]], (4 ^ _196263) ^ [_196494, _196496] : [_196496 = _196494, -(_196494 = _196496)], (2116 ^ _196263) ^ [_271383, _271385, _271387, _271389, _271391] : [2161 ^ _196263 : [(2164 ^ _196263) ^ [] : [ron(_271389, _271385)], (2162 ^ _196263) ^ [] : [ron(_271389, _271385)]], rR(_271387, _271391, _271389), -(rinside(_271387, _271385)), 2127 ^ _196263 : [(2130 ^ _196263) ^ [] : [rinside(_271391, _271385)], (2128 ^ _196263) ^ [] : [ron(_271391, _271385)]], _271385 = _271383, rcircle(_271383), 2141 ^ _196263 : [(2142 ^ _196263) ^ [_272129] : [_271387 = _272129, rpoint(_272129)]], 2149 ^ _196263 : [(2150 ^ _196263) ^ [_272376] : [_271389 = _272376, rpoint(_272376)]], 2155 ^ _196263 : [(2156 ^ _196263) ^ [_272583] : [_271391 = _272583, rpoint(_272583)]]], (4001 ^ _196263) ^ [_334502, _334504, _334506, _334508] : [4021 ^ _196263 : [(4026 ^ _196263) ^ [] : [-(rpoint(4020 ^ [_334502, _334504, _334506, _334508]))], (4024 ^ _196263) ^ [] : [-(rS(4020 ^ [_334502, _334504, _334506, _334508], _334504, _334508))], (4022 ^ _196263) ^ [] : [4020 ^ [_334502, _334504, _334506, _334508] = _334504]], _334504 = _334502, -(ron(_334504, _334508)), rpoint(_334502), _334508 = _334506, rline(_334506)], (2842 ^ _196263) ^ [_295527, _295529, _295531, _295533, _295535] : [-(rS(_295533, _295531, _295529)), rS(_295535, _295531, _295529), rS(_295535, _295533, _295529), _295529 = _295527, rline(_295527), 2861 ^ _196263 : [(2862 ^ _196263) ^ [_296087] : [_295531 = _296087, rpoint(_296087)]], 2869 ^ _196263 : [(2870 ^ _196263) ^ [_296334] : [_295533 = _296334, rpoint(_296334)]], 2875 ^ _196263 : [(2876 ^ _196263) ^ [_296541] : [_295535 = _296541, rpoint(_296541)]]], (204 ^ _196263) ^ [_202880, _202882, _202884, _202886, _202888, _202890] : [-(vg(_202890, _202886, _202882) = vg(_202888, _202884, _202880)), _202890 = _202888, _202886 = _202884, _202882 = _202880], (3620 ^ _196263) ^ [_321291, _321293, _321295, _321297, _321299, _321301, _321303, _321305] : [3672 ^ _196263 : [(3675 ^ _196263) ^ [] : [-(ron(3671 ^ [_321291, _321293, _321295, _321297, _321299, _321301, _321303, _321305], _321305))], (3677 ^ _196263) ^ [] : [-(ron(3671 ^ [_321291, _321293, _321295, _321297, _321299, _321301, _321303, _321305], _321301))], (3679 ^ _196263) ^ [] : [-(rpoint(3671 ^ [_321291, _321293, _321295, _321297, _321299, _321301, _321303, _321305]))], (3673 ^ _196263) ^ [] : [-(rR(3671 ^ [_321291, _321293, _321295, _321297, _321299, _321301, _321303, _321305], _321297, _321293))]], ron(_321293, _321301), -(ron(_321293, _321305)), -(rinside(_321293, _321305)), _321293 = _321291, rpoint(_321291), ron(_321297, _321301), rinside(_321297, _321305), _321297 = _321295, rpoint(_321295), _321301 = _321299, rline(_321299), _321305 = _321303, rcircle(_321303)], (10 ^ _196263) ^ [_196698, _196700, _196702] : [-(_196702 = _196698), _196702 = _196700, _196700 = _196698], (4527 ^ _196263) ^ [] : [-(rpoint(vd14))], (1783 ^ _196263) ^ [_260587, _260589, _260591, _260593] : [1799 ^ _196263 : [(1802 ^ _196263) ^ [] : [-(rreal(1798 ^ [_260587, _260589, _260591, _260593]))], (1800 ^ _196263) ^ [] : [-(vplus(_260593, _260589) = 1798 ^ [_260587, _260589, _260591, _260593])]], _260589 = _260587, rreal(_260587), _260593 = _260591, rreal(_260591)], (606 ^ _196263) ^ [_221874, _221876, _221878, _221880, _221882, _221884] : [673 ^ _196263 : [(680 ^ _196263) ^ [] : [vplus(vg(_221884, _221880, _221878), vg(_221878, _221880, _221882)) = vg(_221884, _221878, _221882), -(rR(_221880, _221884, _221882))], (674 ^ _196263) ^ [] : [rR(_221880, _221884, _221882), -(vplus(vg(_221884, _221880, _221878), vg(_221878, _221880, _221882)) = vg(_221884, _221878, _221882))]], -(ron(_221878, _221876)), _221876 = _221874, rline(_221874), -(_221880 = _221878), -(_221882 = _221878), -(_221882 = _221880), -(_221884 = _221878), -(_221884 = _221880), -(_221884 = _221882), 645 ^ _196263 : [(646 ^ _196263) ^ [_223013] : [_221878 = _223013, rpoint(_223013)]], 653 ^ _196263 : [(654 ^ _196263) ^ [_223270] : [_221880 = _223270, rpoint(_223270)]], 661 ^ _196263 : [(662 ^ _196263) ^ [_223527] : [_221882 = _223527, rpoint(_223527)]], 667 ^ _196263 : [(668 ^ _196263) ^ [_223742] : [_221884 = _223742, rpoint(_223742)]]], (1755 ^ _196263) ^ [_259735, _259737, _259739, _259741] : [-(vplus(_259741, _259737) = vplus(_259737, _259741)), _259737 = _259735, rreal(_259735), _259741 = _259739, rreal(_259739)], (288 ^ _196263) ^ [] : [-(ron(vd1057, vskolem1061))], (2966 ^ _196263) ^ [_299456, _299458, _299460, _299462] : [rR(_299460, _299458, _299456), rR(_299460, _299462, _299456), rR(_299460, _299462, _299458), 2977 ^ _196263 : [(2978 ^ _196263) ^ [_299830] : [_299456 = _299830, rpoint(_299830)]], 2985 ^ _196263 : [(2986 ^ _196263) ^ [_300067] : [_299458 = _300067, rpoint(_300067)]], 2993 ^ _196263 : [(2994 ^ _196263) ^ [_300304] : [_299460 = _300304, rpoint(_300304)]], 2999 ^ _196263 : [(3000 ^ _196263) ^ [_300503] : [_299462 = _300503, rpoint(_300503)]]], (2884 ^ _196263) ^ [_296894, _296896, _296898, _296900] : [ron(_296900, _296896), rS(_296900, _296898, _296896), _296896 = _296894, rline(_296894), 2899 ^ _196263 : [(2900 ^ _196263) ^ [_297324] : [_296898 = _297324, rpoint(_297324)]], 2905 ^ _196263 : [(2906 ^ _196263) ^ [_297523] : [_296900 = _297523, rpoint(_297523)]]], (1808 ^ _196263) ^ [_261401, _261403, _261405, _261407] : [-(rintersect(_261403, _261401)), ron(_261405, _261401), rinside(_261407, _261401), rinside(_261405, _261403), ron(_261407, _261403), 1827 ^ _196263 : [(1828 ^ _196263) ^ [_261922] : [_261405 = _261922, rpoint(_261922)]], 1833 ^ _196263 : [(1834 ^ _196263) ^ [_262121] : [_261407 = _262121, rpoint(_262121)]]], (3536 ^ _196263) ^ [_318349, _318351, _318353, _318355] : [3556 ^ _196263 : [(3561 ^ _196263) ^ [] : [-(rpoint(3555 ^ [_318349, _318351, _318353, _318355]))], (3559 ^ _196263) ^ [] : [-(ron(3555 ^ [_318349, _318351, _318353, _318355], _318355))], (3557 ^ _196263) ^ [] : [-(ron(3555 ^ [_318349, _318351, _318353, _318355], _318351))]], rintersect(_318355, _318351), _318351 = _318349, rcircle(_318349), _318355 = _318353, rcircle(_318353)], (3308 ^ _196263) ^ [_310389, _310391] : [rcenter(_310391, _310389), -(rinside(_310391, _310389))], (742 ^ _196263) ^ [_226202, _226204, _226206] : [766 ^ _196263 : [(769 ^ _196263) ^ [] : [-(rreal(765 ^ [_226202, _226204, _226206]))], (767 ^ _196263) ^ [] : [-(vg(_226206, _226204, _226202) = 765 ^ [_226202, _226204, _226206])]], 745 ^ _196263 : [(746 ^ _196263) ^ [_226377] : [_226202 = _226377, rpoint(_226377)]], 753 ^ _196263 : [(754 ^ _196263) ^ [_226604] : [_226204 = _226604, rpoint(_226604)]], 759 ^ _196263 : [(760 ^ _196263) ^ [_226795] : [_226206 = _226795, rpoint(_226795)]]], (331 ^ _196263) ^ [_207103, _207105, _207107, _207109, _207111, _207113] : [354 ^ _196263 : [(361 ^ _196263) ^ [] : [ron(_207113, _207107), -(vf(_207109, _207113) = vf(_207109, _207105))], (355 ^ _196263) ^ [] : [vf(_207109, _207113) = vf(_207109, _207105), -(ron(_207113, _207107))]], ron(_207105, _207107), _207105 = _207103, rpoint(_207103), rcenter(_207109, _207107), _207113 = _207111, rpoint(_207111)], (4514 ^ _196263) ^ [_352263, _352265] : [4522 ^ _196263 : [(4525 ^ _196263) ^ [] : [-(rpoint(4521 ^ [_352263, _352265]))], (4523 ^ _196263) ^ [] : [4521 ^ [_352263, _352265] = _352265]], _352265 = _352263, rpoint(_352263)], (3786 ^ _196263) ^ [_327057, _327059] : [3794 ^ _196263 : [(3797 ^ _196263) ^ [] : [-(rpoint(3793 ^ [_327057, _327059]))], (3795 ^ _196263) ^ [] : [-(rinside(3793 ^ [_327057, _327059], _327059))]], _327059 = _327057, rcircle(_327057)], (4415 ^ _196263) ^ [_348591, _348593, _348595, _348597] : [4447 ^ _196263 : [(4448 ^ _196263) ^ [] : [4446 ^ [_348591, _348593, _348595, _348597] = _348591], (4452 ^ _196263) ^ [] : [4446 ^ [_348591, _348593, _348595, _348597] = _348595], (4456 ^ _196263) ^ [] : [-(rpoint(4446 ^ [_348591, _348593, _348595, _348597]))], (4454 ^ _196263) ^ [] : [4446 ^ [_348591, _348593, _348595, _348597] = _348597], (4450 ^ _196263) ^ [] : [4446 ^ [_348591, _348593, _348595, _348597] = _348593]], 4418 ^ _196263 : [(4419 ^ _196263) ^ [_348808] : [_348591 = _348808, rpoint(_348808)]], 4426 ^ _196263 : [(4427 ^ _196263) ^ [_349045] : [_348593 = _349045, rpoint(_349045)]], 4434 ^ _196263 : [(4435 ^ _196263) ^ [_349282] : [_348595 = _349282, rpoint(_349282)]], 4440 ^ _196263 : [(4441 ^ _196263) ^ [_349481] : [_348597 = _349481, rpoint(_349481)]]], (1729 ^ _196263) ^ [_258998, _259000, _259002, _259004] : [-(rless(_259004, _259000)), -(_259004 = _259000), -(rless(_259000, _259004)), _259000 = _258998, rreal(_258998), _259004 = _259002, rreal(_259002)], (3250 ^ _196263) ^ [_308556, _308558, _308560] : [3277 ^ _196263 : [(3280 ^ _196263) ^ [] : [_308560 = _308556], (3282 ^ _196263) ^ [] : [_308560 = _308558], (3284 ^ _196263) ^ [] : [-(rR(_308558, _308556, _308560))], (3278 ^ _196263) ^ [] : [rR(_308560, _308558, _308556)]], rR(_308558, _308560, _308556), 3257 ^ _196263 : [(3258 ^ _196263) ^ [_308834] : [_308556 = _308834, rpoint(_308834)]], 3265 ^ _196263 : [(3266 ^ _196263) ^ [_309061] : [_308558 = _309061, rpoint(_309061)]], 3271 ^ _196263 : [(3272 ^ _196263) ^ [_309252] : [_308560 = _309252, rpoint(_309252)]]], (405 ^ _196263) ^ [_209612, _209614, _209616, _209618, _209620, _209622, _209624, _209626, _209628, _209630, _209632, _209634, _209636, _209638, _209640, _209642, _209644, _209646] : [601 ^ _196263 : [(604 ^ _196263) ^ [] : [-(vf(_209634, _209632) = vf(_209630, _209628))], (602 ^ _196263) ^ [] : [-(vangle(_209626, _209624, _209622) = vangle(_209620, _209618, _209616))]], _209614 = _209612, 415 ^ _196263 : [(438 ^ _196263) ^ [] : [-(rpoint(413 ^ [_209612, _209614, _209616, _209618, _209620, _209622, _209624, _209626, _209628, _209630, _209632, _209634, _209636, _209638, _209640, _209642, _209644, _209646]))], (428 ^ _196263) ^ [] : [-(vangle(412 ^ [_209612, _209614, _209616, _209618, _209620, _209622, _209624, _209626, _209628, _209630, _209632, _209634, _209636, _209638, _209640, _209642, _209644, _209646], 414 ^ [_209612, _209614, _209616, _209618, _209620, _209622, _209624, _209626, _209628, _209630, _209632, _209634, _209636, _209638, _209640, _209642, _209644, _209646], 413 ^ [_209612, _209614, _209616, _209618, _209620, _209622, _209624, _209626, _209628, _209630, _209632, _209634, _209636, _209638, _209640, _209642, _209644, _209646]) = vangle(_209646, _209642, _209644))], (426 ^ _196263) ^ [] : [-(vf(_209646, _209644) = vf(412 ^ [_209612, _209614, _209616, _209618, _209620, _209622, _209624, _209626, _209628, _209630, _209632, _209634, _209636, _209638, _209640, _209642, _209644, _209646], 413 ^ [_209612, _209614, _209616, _209618, _209620, _209622, _209624, _209626, _209628, _209630, _209632, _209634, _209636, _209638, _209640, _209642, _209644, _209646]))], (418 ^ _196263) ^ [] : [rR(_209640, 413 ^ [_209612, _209614, _209616, _209618, _209620, _209622, _209624, _209626, _209628, _209630, _209632, _209634, _209636, _209638, _209640, _209642, _209644, _209646], _209638)], (434 ^ _196263) ^ [] : [-(412 ^ [_209612, _209614, _209616, _209618, _209620, _209622, _209624, _209626, _209628, _209630, _209632, _209634, _209636, _209638, _209640, _209642, _209644, _209646] = _209640)], (424 ^ _196263) ^ [] : [-(vf(_209644, _209642) = vf(413 ^ [_209612, _209614, _209616, _209618, _209620, _209622, _209624, _209626, _209628, _209630, _209632, _209634, _209636, _209638, _209640, _209642, _209644, _209646], 414 ^ [_209612, _209614, _209616, _209618, _209620, _209622, _209624, _209626, _209628, _209630, _209632, _209634, _209636, _209638, _209640, _209642, _209644, _209646]))], (416 ^ _196263) ^ [] : [-(rS(414 ^ [_209612, _209614, _209616, _209618, _209620, _209622, _209624, _209626, _209628, _209630, _209632, _209634, _209636, _209638, _209640, _209642, _209644, _209646], _209636, _209614))], (430 ^ _196263) ^ [] : [-(vangle(413 ^ [_209612, _209614, _209616, _209618, _209620, _209622, _209624, _209626, _209628, _209630, _209632, _209634, _209636, _209638, _209640, _209642, _209644, _209646], 412 ^ [_209612, _209614, _209616, _209618, _209620, _209622, _209624, _209626, _209628, _209630, _209632, _209634, _209636, _209638, _209640, _209642, _209644, _209646], 414 ^ [_209612, _209614, _209616, _209618, _209620, _209622, _209624, _209626, _209628, _209630, _209632, _209634, _209636, _209638, _209640, _209642, _209644, _209646]) = vangle(_209644, _209646, _209642))], (440 ^ _196263) ^ [] : [-(rpoint(412 ^ [_209612, _209614, _209616, _209618, _209620, _209622, _209624, _209626, _209628, _209630, _209632, _209634, _209636, _209638, _209640, _209642, _209644, _209646]))], (436 ^ _196263) ^ [] : [-(rpoint(414 ^ [_209612, _209614, _209616, _209618, _209620, _209622, _209624, _209626, _209628, _209630, _209632, _209634, _209636, _209638, _209640, _209642, _209644, _209646]))], (420 ^ _196263) ^ [] : [-(ron(413 ^ [_209612, _209614, _209616, _209618, _209620, _209622, _209624, _209626, _209628, _209630, _209632, _209634, _209636, _209638, _209640, _209642, _209644, _209646], _209614))], (442 ^ _196263) ^ [] : [vangle(_209626, _209624, _209622) = vangle(_209620, _209618, _209616), vf(_209634, _209632) = vf(_209630, _209628)], (422 ^ _196263) ^ [] : [-(vf(_209646, _209642) = vf(412 ^ [_209612, _209614, _209616, _209618, _209620, _209622, _209624, _209626, _209628, _209630, _209632, _209634, _209636, _209638, _209640, _209642, _209644, _209646], 414 ^ [_209612, _209614, _209616, _209618, _209620, _209622, _209624, _209626, _209628, _209630, _209632, _209634, _209636, _209638, _209640, _209642, _209644, _209646]))], (432 ^ _196263) ^ [] : [-(vangle(414 ^ [_209612, _209614, _209616, _209618, _209620, _209622, _209624, _209626, _209628, _209630, _209632, _209634, _209636, _209638, _209640, _209642, _209644, _209646], 413 ^ [_209612, _209614, _209616, _209618, _209620, _209622, _209624, _209626, _209628, _209630, _209632, _209634, _209636, _209638, _209640, _209642, _209644, _209646], 412 ^ [_209612, _209614, _209616, _209618, _209620, _209622, _209624, _209626, _209628, _209630, _209632, _209634, _209636, _209638, _209640, _209642, _209644, _209646]) = vangle(_209642, _209644, _209646))]], -(ron(_209636, _209614)), ron(_209638, _209614), ron(_209640, _209614), rline(_209612), 465 ^ _196263 : [(466 ^ _196263) ^ [_215142] : [_209616 = _215142, rpoint(_215142)]], 473 ^ _196263 : [(474 ^ _196263) ^ [_215519] : [_209618 = _215519, rpoint(_215519)]], 481 ^ _196263 : [(482 ^ _196263) ^ [_215896] : [_209620 = _215896, rpoint(_215896)]], 489 ^ _196263 : [(490 ^ _196263) ^ [_216273] : [_209622 = _216273, rpoint(_216273)]], 497 ^ _196263 : [(498 ^ _196263) ^ [_216650] : [_209624 = _216650, rpoint(_216650)]], 505 ^ _196263 : [(506 ^ _196263) ^ [_217027] : [_209626 = _217027, rpoint(_217027)]], 513 ^ _196263 : [(514 ^ _196263) ^ [_217404] : [_209628 = _217404, rpoint(_217404)]], 521 ^ _196263 : [(522 ^ _196263) ^ [_217781] : [_209630 = _217781, rpoint(_217781)]], 529 ^ _196263 : [(530 ^ _196263) ^ [_218158] : [_209632 = _218158, rpoint(_218158)]], 537 ^ _196263 : [(538 ^ _196263) ^ [_218535] : [_209634 = _218535, rpoint(_218535)]], 545 ^ _196263 : [(546 ^ _196263) ^ [_218912] : [_209636 = _218912, rpoint(_218912)]], 553 ^ _196263 : [(554 ^ _196263) ^ [_219289] : [_209638 = _219289, rpoint(_219289)]], 561 ^ _196263 : [(562 ^ _196263) ^ [_219666] : [_209640 = _219666, rpoint(_219666)]], -(_209644 = _209642), -(_209646 = _209642), -(_209646 = _209644), 581 ^ _196263 : [(582 ^ _196263) ^ [_220475] : [_209642 = _220475, rpoint(_220475)]], 589 ^ _196263 : [(590 ^ _196263) ^ [_220852] : [_209644 = _220852, rpoint(_220852)]], 595 ^ _196263 : [(596 ^ _196263) ^ [_221163] : [_209646 = _221163, rpoint(_221163)]]], (686 ^ _196263) ^ [_224459, _224461, _224463, _224465, _224467] : [729 ^ _196263 : [(736 ^ _196263) ^ [] : [ron(_224463, _224461), -(vg(_224467, _224465, _224463) = v0)], (730 ^ _196263) ^ [] : [vg(_224467, _224465, _224463) = v0, -(ron(_224463, _224461))]], ron(_224465, _224461), ron(_224467, _224461), -(_224467 = _224465), _224461 = _224459, rline(_224459), 709 ^ _196263 : [(710 ^ _196263) ^ [_225124] : [_224463 = _225124, rpoint(_225124)]], 717 ^ _196263 : [(718 ^ _196263) ^ [_225371] : [_224465 = _225371, rpoint(_225371)]], 723 ^ _196263 : [(724 ^ _196263) ^ [_225578] : [_224467 = _225578, rpoint(_225578)]]], (62 ^ _196263) ^ [_198343, _198345] : [-(rreal(_198343)), _198345 = _198343, rreal(_198345)], (1353 ^ _196263) ^ [_246869, _246871, _246873] : [1376 ^ _196263 : [(1379 ^ _196263) ^ [] : [-(vg(_246873, _246871, _246869) = vg(_246869, _246873, _246871))], (1377 ^ _196263) ^ [] : [-(vg(_246873, _246871, _246869) = vg(_246873, _246869, _246871))]], 1356 ^ _196263 : [(1357 ^ _196263) ^ [_247052] : [_246869 = _247052, rpoint(_247052)]], 1364 ^ _196263 : [(1365 ^ _196263) ^ [_247279] : [_246871 = _247279, rpoint(_247279)]], 1370 ^ _196263 : [(1371 ^ _196263) ^ [_247470] : [_246873 = _247470, rpoint(_247470)]]], (1932 ^ _196263) ^ [_265231, _265233, _265235, _265237] : [-(rintersect(1980 ^ [_265231, _265233, _265235, _265237], _265233)), -(rS(_265237, _265235, 1935 ^ [_265231, _265233, _265235, _265237])), 1940 ^ _196263 : [(1943 ^ _196263) ^ [] : [rinside(_265235, _265233)], (1941 ^ _196263) ^ [] : [ron(_265235, _265233)]], 1946 ^ _196263 : [(1949 ^ _196263) ^ [] : [rinside(_265237, _265233)], (1947 ^ _196263) ^ [] : [ron(_265237, _265233)]], 1952 ^ _196263 : [(1953 ^ _196263) ^ [_265925] : [_265231 = _265925, rcircle(_265925)]], 1960 ^ _196263 : [(1961 ^ _196263) ^ [_266162] : [_265233 = _266162, rcircle(_266162)]], 1968 ^ _196263 : [(1969 ^ _196263) ^ [_266399] : [_265235 = _266399, rpoint(_266399)]], 1974 ^ _196263 : [(1975 ^ _196263) ^ [_266598] : [_265237 = _266598, rpoint(_266598)]]], (3563 ^ _196263) ^ [_319296, _319298, _319300, _319302, _319304, _319306, _319308, _319310] : [3611 ^ _196263 : [(3614 ^ _196263) ^ [] : [-(ron(3610 ^ [_319296, _319298, _319300, _319302, _319304, _319306, _319308, _319310], _319306))], (3616 ^ _196263) ^ [] : [-(ron(3610 ^ [_319296, _319298, _319300, _319302, _319304, _319306, _319308, _319310], _319310))], (3618 ^ _196263) ^ [] : [-(rpoint(3610 ^ [_319296, _319298, _319300, _319302, _319304, _319306, _319308, _319310]))], (3612 ^ _196263) ^ [] : [-(rR(_319302, 3610 ^ [_319296, _319298, _319300, _319302, _319304, _319306, _319308, _319310], _319298))]], -(_319298 = _319302), ron(_319298, _319306), _319298 = _319296, rpoint(_319296), ron(_319302, _319306), rinside(_319302, _319310), _319302 = _319300, rpoint(_319300), _319306 = _319304, rline(_319304), _319310 = _319308, rcircle(_319308)], (1523 ^ _196263) ^ [_252542, _252544] : [1526 ^ _196263 : [(1527 ^ _196263) ^ [_252692] : [_252542 = _252692, rpoint(_252692)]], 1532 ^ _196263 : [(1533 ^ _196263) ^ [_252875] : [_252544 = _252875, rpoint(_252875)]], 1538 ^ _196263 : [(1545 ^ _196263) ^ [] : [_252544 = _252542, -(vf(_252544, _252542) = v0)], (1539 ^ _196263) ^ [] : [vf(_252544, _252542) = v0, -(_252544 = _252542)]]], (292 ^ _196263) ^ [] : [-(rcircle(vskolem1061))], (3332 ^ _196263) ^ [_311166, _311168, _311170, _311172] : [-(_311168 = _311166), ron(_311170, _311166), ron(_311170, _311168), ron(_311172, _311166), ron(_311172, _311168), 3351 ^ _196263 : [(3352 ^ _196263) ^ [_311727] : [_311166 = _311727, rline(_311727)]], 3359 ^ _196263 : [(3360 ^ _196263) ^ [_311964] : [_311168 = _311964, rline(_311964)]], -(_311172 = _311170), 3371 ^ _196263 : [(3372 ^ _196263) ^ [_312289] : [_311170 = _312289, rpoint(_312289)]], 3377 ^ _196263 : [(3378 ^ _196263) ^ [_312488] : [_311172 = _312488, rpoint(_312488)]]], (1425 ^ _196263) ^ [_249281, _249283, _249285] : [1448 ^ _196263 : [(1451 ^ _196263) ^ [] : [-(rleq(v0, vangle(_249285, _249283, _249281)))], (1449 ^ _196263) ^ [] : [-(rleq(vangle(_249285, _249283, _249281), vplus(vperp, vperp)))]], 1428 ^ _196263 : [(1429 ^ _196263) ^ [_249456] : [_249281 = _249456, rpoint(_249456)]], 1436 ^ _196263 : [(1437 ^ _196263) ^ [_249683] : [_249283 = _249683, rpoint(_249683)]], 1442 ^ _196263 : [(1443 ^ _196263) ^ [_249874] : [_249285 = _249874, rpoint(_249874)]]], (1804 ^ _196263) ^ [] : [-(v0 = vd684)], (1602 ^ _196263) ^ [_255074, _255076] : [1622 ^ _196263 : [(1627 ^ _196263) ^ [] : [-(rline(1621 ^ [_255074, _255076]))], (1625 ^ _196263) ^ [] : [-(ron(_255076, 1621 ^ [_255074, _255076]))], (1623 ^ _196263) ^ [] : [-(ron(_255074, 1621 ^ [_255074, _255076]))]], -(_255076 = _255074), 1609 ^ _196263 : [(1610 ^ _196263) ^ [_255319] : [_255074 = _255319, rpoint(_255319)]], 1615 ^ _196263 : [(1616 ^ _196263) ^ [_255502] : [_255076 = _255502, rpoint(_255502)]]], (2392 ^ _196263) ^ [_280757, _280759, _280761, _280763, _280765, _280767, _280769] : [-(rS(_280761, _280759, _280765)), -(_280761 = _280763), -(ron(_280757, _280767)), -(rS(_280761, _280757, _280767)), rS(_280759, _280757, _280769), ron(_280757, _280765), ron(_280759, _280767), ron(_280761, _280769), ron(_280763, _280765), ron(_280763, _280767), ron(_280763, _280769), 2435 ^ _196263 : [(2436 ^ _196263) ^ [_282062] : [_280757 = _282062, rpoint(_282062)]], 2443 ^ _196263 : [(2444 ^ _196263) ^ [_282329] : [_280759 = _282329, rpoint(_282329)]], 2451 ^ _196263 : [(2452 ^ _196263) ^ [_282596] : [_280761 = _282596, rpoint(_282596)]], 2459 ^ _196263 : [(2460 ^ _196263) ^ [_282863] : [_280763 = _282863, rpoint(_282863)]], 2467 ^ _196263 : [(2468 ^ _196263) ^ [_283130] : [_280765 = _283130, rline(_283130)]], 2475 ^ _196263 : [(2476 ^ _196263) ^ [_283397] : [_280767 = _283397, rline(_283397)]], 2481 ^ _196263 : [(2482 ^ _196263) ^ [_283620] : [_280769 = _283620, rline(_283620)]]], (1045 ^ _196263) ^ [_236749, _236751, _236753, _236755, _236757, _236759] : [1128 ^ _196263 : [(1137 ^ _196263) ^ [] : [-(vangle(_236757, _236759, _236755) = vplus(vangle(_236757, _236759, _236753), vangle(_236753, _236759, _236755))), rS(_236755, _236753, _236751), rS(_236757, _236753, _236749)], (1129 ^ _196263) ^ [] : [vangle(_236757, _236759, _236755) = vplus(vangle(_236757, _236759, _236753), vangle(_236753, _236759, _236755)), 1132 ^ _196263 : [(1135 ^ _196263) ^ [] : [-(rS(_236757, _236753, _236749))], (1133 ^ _196263) ^ [] : [-(rS(_236755, _236753, _236751))]]]], -(_236751 = _236749), -(ron(_236753, _236749)), -(ron(_236753, _236751)), -(_236759 = _236755), -(_236759 = _236757), ron(_236755, _236749), ron(_236757, _236751), ron(_236759, _236749), ron(_236759, _236751), 1084 ^ _196263 : [(1085 ^ _196263) ^ [_237923] : [_236749 = _237923, rline(_237923)]], 1092 ^ _196263 : [(1093 ^ _196263) ^ [_238180] : [_236751 = _238180, rline(_238180)]], 1100 ^ _196263 : [(1101 ^ _196263) ^ [_238437] : [_236753 = _238437, rpoint(_238437)]], 1108 ^ _196263 : [(1109 ^ _196263) ^ [_238694] : [_236755 = _238694, rpoint(_238694)]], 1116 ^ _196263 : [(1117 ^ _196263) ^ [_238951] : [_236757 = _238951, rpoint(_238951)]], 1122 ^ _196263 : [(1123 ^ _196263) ^ [_239166] : [_236759 = _239166, rpoint(_239166)]]], (2700 ^ _196263) ^ [_290964, _290966, _290968, _290970, _290972] : [-(rS(_290970, _290968, _290966)), -(ron(_290970, _290966)), ron(_290972, _290966), rR(_290970, _290972, _290968), _290966 = _290964, rline(_290964), 2723 ^ _196263 : [(2724 ^ _196263) ^ [_291622] : [_290968 = _291622, rpoint(_291622)]], 2731 ^ _196263 : [(2732 ^ _196263) ^ [_291869] : [_290970 = _291869, rpoint(_291869)]], 2737 ^ _196263 : [(2738 ^ _196263) ^ [_292076] : [_290972 = _292076, rpoint(_292076)]]], (1693 ^ _196263) ^ [_257937, _257939] : [rless(_257939, _257939), _257939 = _257937, rreal(_257937)], (302 ^ _196263) ^ [] : [-(rpoint(vd1056))], (1213 ^ _196263) ^ [_242149, _242151, _242153, _242155] : [1236 ^ _196263 : [(1243 ^ _196263) ^ [] : [rinside(_242155, _242149), -(rless(vf(_242151, _242155), vf(_242151, _242153)))], (1237 ^ _196263) ^ [] : [rless(vf(_242151, _242155), vf(_242151, _242153)), -(rinside(_242155, _242149))]], ron(_242153, _242149), rcenter(_242151, _242149), 1224 ^ _196263 : [(1225 ^ _196263) ^ [_242496] : [_242153 = _242496, rpoint(_242496)]], 1230 ^ _196263 : [(1231 ^ _196263) ^ [_242695] : [_242155 = _242695, rpoint(_242695)]]], (1629 ^ _196263) ^ [_256048, _256050, _256052, _256054, _256056, _256058] : [-(rless(vplus(_256058, _256050), vplus(_256054, _256050))), rless(_256058, _256054), _256050 = _256048, rreal(_256048), _256054 = _256052, rreal(_256052), _256058 = _256056, rreal(_256056)], (156 ^ _196263) ^ [_201334, _201336] : [-(rpoint(_201334)), _201336 = _201334, rpoint(_201336)], (3074 ^ _196263) ^ [_302844, _302846, _302848, _302850] : [-(rR(_302848, _302850, _302844)), rR(_302846, _302848, _302844), rR(_302848, _302850, _302846), 3085 ^ _196263 : [(3086 ^ _196263) ^ [_303216] : [_302844 = _303216, rpoint(_303216)]], 3093 ^ _196263 : [(3094 ^ _196263) ^ [_303453] : [_302846 = _303453, rpoint(_303453)]], 3101 ^ _196263 : [(3102 ^ _196263) ^ [_303690] : [_302848 = _303690, rpoint(_303690)]], 3107 ^ _196263 : [(3108 ^ _196263) ^ [_303889] : [_302850 = _303889, rpoint(_303889)]]], (2580 ^ _196263) ^ [_287147, _287149, _287151, _287153, _287155] : [-(rR(_287153, _287155, _287151)), ron(_287153, _287149), ron(_287153, _287147), -(rS(_287155, _287151, _287149)), ron(_287151, _287147), ron(_287155, _287147), -(_287149 = _287147), 2607 ^ _196263 : [(2608 ^ _196263) ^ [_287963] : [_287147 = _287963, rline(_287963)]], 2615 ^ _196263 : [(2616 ^ _196263) ^ [_288210] : [_287149 = _288210, rline(_288210)]], -(_287153 = _287151), -(_287155 = _287151), -(_287155 = _287153), 2635 ^ _196263 : [(2636 ^ _196263) ^ [_288733] : [_287151 = _288733, rpoint(_288733)]], 2643 ^ _196263 : [(2644 ^ _196263) ^ [_288980] : [_287153 = _288980, rpoint(_288980)]], 2649 ^ _196263 : [(2650 ^ _196263) ^ [_289187] : [_287155 = _289187, rpoint(_289187)]]], (20 ^ _196263) ^ [_197039, _197041, _197043, _197045] : [-(rgeq(_197043, _197039)), rgeq(_197045, _197041), _197045 = _197043, _197041 = _197039], (232 ^ _196263) ^ [_203884, _203886, _203888, _203890] : [-(vf(_203890, _203886) = vf(_203888, _203884)), _203890 = _203888, _203886 = _203884], (3840 ^ _196263) ^ [_328937, _328939, _328941, _328943] : [3860 ^ _196263 : [(3865 ^ _196263) ^ [] : [-(rpoint(3859 ^ [_328937, _328939, _328941, _328943]))], (3863 ^ _196263) ^ [] : [-(ron(3859 ^ [_328937, _328939, _328941, _328943], _328943))], (3861 ^ _196263) ^ [] : [3859 ^ [_328937, _328939, _328941, _328943] = _328939]], ron(_328939, _328943), _328939 = _328937, rpoint(_328937), _328943 = _328941, rcircle(_328941)], (3443 ^ _196263) ^ [_314943, _314945, _314947, _314949, _314951, _314953, _314955] : [3491 ^ _196263 : [(3494 ^ _196263) ^ [] : [-(ron(3490 ^ [_314943, _314945, _314947, _314949, _314951, _314953, _314955], _314953))], (3496 ^ _196263) ^ [] : [-(ron(3490 ^ [_314943, _314945, _314947, _314949, _314951, _314953, _314955], _314955))], (3498 ^ _196263) ^ [] : [-(rpoint(3490 ^ [_314943, _314945, _314947, _314949, _314951, _314953, _314955]))], (3492 ^ _196263) ^ [] : [-(rS(3490 ^ [_314943, _314945, _314947, _314949, _314951, _314953, _314955], _314943, _314951))]], -(ron(_314943, _314951)), ron(_314945, _314951), ron(_314947, _314951), rcenter(_314945, _314953), rcenter(_314947, _314955), rintersect(_314955, _314953), _314951 = _314949, rline(_314949), 3478 ^ _196263 : [(3479 ^ _196263) ^ [_315968] : [_314953 = _315968, rcircle(_315968)]], 3484 ^ _196263 : [(3485 ^ _196263) ^ [_316191] : [_314955 = _316191, rcircle(_316191)]]], (2166 ^ _196263) ^ [_273055, _273057, _273059, _273061, _273063, _273065, _273067] : [-(rinside(_273063, _273057)), rR(_273063, _273067, _273065), 2173 ^ _196263 : [(2176 ^ _196263) ^ [] : [rinside(_273065, _273057)], (2174 ^ _196263) ^ [] : [ron(_273065, _273057)]], 2179 ^ _196263 : [(2182 ^ _196263) ^ [] : [rinside(_273067, _273057)], (2180 ^ _196263) ^ [] : [ron(_273067, _273057)]], _273057 = _273055, rcircle(_273055), _273061 = _273059, rline(_273059), 2201 ^ _196263 : [(2202 ^ _196263) ^ [_274131] : [_273063 = _274131, rpoint(_274131)]], 2209 ^ _196263 : [(2210 ^ _196263) ^ [_274398] : [_273065 = _274398, rpoint(_274398)]], 2215 ^ _196263 : [(2216 ^ _196263) ^ [_274621] : [_273067 = _274621, rpoint(_274621)]]], (146 ^ _196263) ^ [_201039, _201041] : [-(rtriangle(_201039)), _201041 = _201039, rtriangle(_201041)], (4458 ^ _196263) ^ [_350221, _350223, _350225] : [4482 ^ _196263 : [(4485 ^ _196263) ^ [] : [4481 ^ [_350221, _350223, _350225] = _350223], (4487 ^ _196263) ^ [] : [4481 ^ [_350221, _350223, _350225] = _350225], (4489 ^ _196263) ^ [] : [-(rpoint(4481 ^ [_350221, _350223, _350225]))], (4483 ^ _196263) ^ [] : [4481 ^ [_350221, _350223, _350225] = _350221]], 4461 ^ _196263 : [(4462 ^ _196263) ^ [_350410] : [_350221 = _350410, rpoint(_350410)]], 4469 ^ _196263 : [(4470 ^ _196263) ^ [_350637] : [_350223 = _350637, rpoint(_350637)]], 4475 ^ _196263 : [(4476 ^ _196263) ^ [_350828] : [_350225 = _350828, rpoint(_350828)]]], (4334 ^ _196263) ^ [_345873, _345875, _345877, _345879, _345881, _345883] : [4366 ^ _196263 : [(4369 ^ _196263) ^ [] : [4365 ^ [_345873, _345875, _345877, _345879, _345881, _345883] = _345879], (4371 ^ _196263) ^ [] : [-(ron(4365 ^ [_345873, _345875, _345877, _345879, _345881, _345883], _345883))], (4373 ^ _196263) ^ [] : [-(rpoint(4365 ^ [_345873, _345875, _345877, _345879, _345881, _345883]))], (4367 ^ _196263) ^ [] : [4365 ^ [_345873, _345875, _345877, _345879, _345881, _345883] = _345875]], ron(_345875, _345883), ron(_345879, _345883), _345875 = _345873, rpoint(_345873), _345879 = _345877, rpoint(_345877), _345883 = _345881, rline(_345881)], (4189 ^ _196263) ^ [_340932, _340934, _340936, _340938, _340940] : [4233 ^ _196263 : [(4238 ^ _196263) ^ [] : [-(rpoint(4232 ^ [_340932, _340934, _340936, _340938, _340940]))], (4236 ^ _196263) ^ [] : [-(rR(4232 ^ [_340932, _340934, _340936, _340938, _340940], _340936, _340934))], (4234 ^ _196263) ^ [] : [4232 ^ [_340932, _340934, _340936, _340938, _340940] = _340932]], rR(_340932, _340936, _340934), ron(_340934, _340940), ron(_340936, _340940), 4204 ^ _196263 : [(4205 ^ _196263) ^ [_341424] : [_340932 = _341424, rpoint(_341424)]], 4212 ^ _196263 : [(4213 ^ _196263) ^ [_341671] : [_340934 = _341671, rpoint(_341671)]], 4220 ^ _196263 : [(4221 ^ _196263) ^ [_341918] : [_340936 = _341918, rpoint(_341918)]], _340940 = _340938, rline(_340938)], (4375 ^ _196263) ^ [_347258, _347260, _347262, _347264] : [4395 ^ _196263 : [(4400 ^ _196263) ^ [] : [-(rpoint(4394 ^ [_347258, _347260, _347262, _347264]))], (4398 ^ _196263) ^ [] : [-(ron(4394 ^ [_347258, _347260, _347262, _347264], _347264))], (4396 ^ _196263) ^ [] : [4394 ^ [_347258, _347260, _347262, _347264] = _347260]], ron(_347260, _347264), _347260 = _347258, rpoint(_347258), _347264 = _347262, rline(_347262)], (1249 ^ _196263) ^ [_243286, _243288, _243290] : [-(vplus(vf(_243290, _243288), vf(_243288, _243286)) = vf(_243290, _243286)), rR(_243288, _243290, _243286), 1256 ^ _196263 : [(1257 ^ _196263) ^ [_243550] : [_243286 = _243550, rpoint(_243550)]], 1264 ^ _196263 : [(1265 ^ _196263) ^ [_243777] : [_243288 = _243777, rpoint(_243777)]], 1270 ^ _196263 : [(1271 ^ _196263) ^ [_243968] : [_243290 = _243968, rpoint(_243968)]]], (1381 ^ _196263) ^ [_247901, _247903, _247905, _247907, _247909, _247911] : [-(rgeq(vg(_247911, _247907, _247903), v0)), _247903 = _247901, rpoint(_247901), _247907 = _247905, rpoint(_247905), _247911 = _247909, rpoint(_247909)], (4079 ^ _196263) ^ [_337167, _337169, _337171, _337173] : [4115 ^ _196263 : [(4118 ^ _196263) ^ [] : [-(rpoint(4114 ^ [_337167, _337169, _337171, _337173]))], (4116 ^ _196263) ^ [] : [-(rR(_337167, _337169, 4114 ^ [_337167, _337169, _337171, _337173]))]], -(_337169 = _337167), ron(_337167, _337173), ron(_337169, _337173), 4094 ^ _196263 : [(4095 ^ _196263) ^ [_337620] : [_337167 = _337620, rpoint(_337620)]], 4102 ^ _196263 : [(4103 ^ _196263) ^ [_337857] : [_337169 = _337857, rpoint(_337857)]], _337173 = _337171, rline(_337171)], (2658 ^ _196263) ^ [_289584, _289586, _289588, _289590, _289592] : [rS(_289592, _289588, _289586), ron(_289590, _289586), rR(_289590, _289592, _289588), _289586 = _289584, rline(_289584), 2677 ^ _196263 : [(2678 ^ _196263) ^ [_290144] : [_289588 = _290144, rpoint(_290144)]], 2685 ^ _196263 : [(2686 ^ _196263) ^ [_290391] : [_289590 = _290391, rpoint(_290391)]], 2691 ^ _196263 : [(2692 ^ _196263) ^ [_290598] : [_289592 = _290598, rpoint(_290598)]]], (1505 ^ _196263) ^ [_251939, _251941] : [-(rleq(v0, vf(_251941, _251939))), 1508 ^ _196263 : [(1509 ^ _196263) ^ [_252083] : [_251939 = _252083, rpoint(_252083)]], 1514 ^ _196263 : [(1515 ^ _196263) ^ [_252266] : [_251941 = _252266, rpoint(_252266)]]], (883 ^ _196263) ^ [_231263, _231265, _231267, _231269, _231271, _231273, _231275] : [-(vangle(_231273, _231275, _231271) = vangle(_231269, _231275, _231267)), -(rR(_231275, _231271, _231267)), -(rR(_231275, _231273, _231269)), -(_231267 = _231275), -(_231269 = _231275), -(_231271 = _231275), -(_231273 = _231275), ron(_231267, _231263), ron(_231271, _231263), ron(_231269, _231265), ron(_231273, _231265), ron(_231275, _231265), 930 ^ _196263 : [(931 ^ _196263) ^ [_232689] : [_231263 = _232689, rline(_232689)]], 938 ^ _196263 : [(939 ^ _196263) ^ [_232956] : [_231265 = _232956, rline(_232956)]], 946 ^ _196263 : [(947 ^ _196263) ^ [_233223] : [_231267 = _233223, rpoint(_233223)]], 954 ^ _196263 : [(955 ^ _196263) ^ [_233490] : [_231269 = _233490, rpoint(_233490)]], 962 ^ _196263 : [(963 ^ _196263) ^ [_233757] : [_231271 = _233757, rpoint(_233757)]], 970 ^ _196263 : [(971 ^ _196263) ^ [_234024] : [_231273 = _234024, rpoint(_234024)]], 976 ^ _196263 : [(977 ^ _196263) ^ [_234247] : [_231275 = _234247, rpoint(_234247)]]], (118 ^ _196263) ^ [_200191, _200193, _200195, _200197, _200199, _200201] : [-(rR(_200199, _200195, _200191)), rR(_200201, _200197, _200193), _200201 = _200199, _200197 = _200195, _200193 = _200191], (1407 ^ _196263) ^ [_248662, _248664] : [-(vg(_248664, _248664, _248662) = v0), 1410 ^ _196263 : [(1411 ^ _196263) ^ [_248807] : [_248662 = _248807, rpoint(_248807)]], 1416 ^ _196263 : [(1417 ^ _196263) ^ [_248990] : [_248664 = _248990, rpoint(_248990)]]], (218 ^ _196263) ^ [_203396, _203398, _203400, _203402, _203404, _203406] : [-(vangle(_203406, _203402, _203398) = vangle(_203404, _203400, _203396)), _203406 = _203404, _203402 = _203400, _203398 = _203396], (136 ^ _196263) ^ [_200744, _200746] : [-(rline(_200744)), _200746 = _200744, rline(_200746)], (1572 ^ _196263) ^ [_254204, _254206, _254208, _254210, _254212, _254214] : [-(_254214 = _254210), vplus(_254214, _254206) = vplus(_254210, _254206), _254206 = _254204, rreal(_254204), _254210 = _254208, rreal(_254208), _254214 = _254212, rreal(_254212)], (2 ^ _196263) ^ [_196387] : [-(_196387 = _196387)], (3158 ^ _196263) ^ [_305628, _305630, _305632, _305634, _305636] : [-(ron(_305634, _305630)), _305630 = _305628, ron(_305632, _305630), ron(_305636, _305630), rR(_305634, _305636, _305632), rline(_305628), 3181 ^ _196263 : [(3182 ^ _196263) ^ [_306282] : [_305632 = _306282, rpoint(_306282)]], 3189 ^ _196263 : [(3190 ^ _196263) ^ [_306529] : [_305634 = _306529, rpoint(_306529)]], 3195 ^ _196263 : [(3196 ^ _196263) ^ [_306736] : [_305636 = _306736, rpoint(_306736)]]], (4240 ^ _196263) ^ [_342673, _342675, _342677, _342679] : [4276 ^ _196263 : [(4279 ^ _196263) ^ [] : [-(rpoint(4275 ^ [_342673, _342675, _342677, _342679]))], (4277 ^ _196263) ^ [] : [-(rR(4275 ^ [_342673, _342675, _342677, _342679], _342675, _342673))]], -(_342675 = _342673), ron(_342673, _342679), ron(_342675, _342679), 4255 ^ _196263 : [(4256 ^ _196263) ^ [_343126] : [_342673 = _343126, rpoint(_343126)]], 4263 ^ _196263 : [(4264 ^ _196263) ^ [_343363] : [_342675 = _343363, rpoint(_343363)]], _342679 = _342677, rline(_342677)], (180 ^ _196263) ^ [_202101, _202103, _202105, _202107] : [-(rcenter(_202105, _202101)), rcenter(_202107, _202103), _202107 = _202105, _202103 = _202101], (1487 ^ _196263) ^ [_251330, _251332] : [-(vf(_251332, _251330) = vf(_251330, _251332)), 1490 ^ _196263 : [(1491 ^ _196263) ^ [_251477] : [_251330 = _251477, rpoint(_251477)]], 1496 ^ _196263 : [(1497 ^ _196263) ^ [_251660] : [_251332 = _251660, rpoint(_251660)]]], (4281 ^ _196263) ^ [_344007, _344009, _344011, _344013, _344015] : [4325 ^ _196263 : [(4328 ^ _196263) ^ [] : [4324 ^ [_344007, _344009, _344011, _344013, _344015] = _344011], (4330 ^ _196263) ^ [] : [-(ron(4324 ^ [_344007, _344009, _344011, _344013, _344015], _344015))], (4332 ^ _196263) ^ [] : [-(rpoint(4324 ^ [_344007, _344009, _344011, _344013, _344015]))], (4326 ^ _196263) ^ [] : [4324 ^ [_344007, _344009, _344011, _344013, _344015] = _344009]], ron(_344007, _344015), ron(_344009, _344015), ron(_344011, _344015), 4296 ^ _196263 : [(4297 ^ _196263) ^ [_344504] : [_344007 = _344504, rpoint(_344504)]], 4304 ^ _196263 : [(4305 ^ _196263) ^ [_344751] : [_344009 = _344751, rpoint(_344751)]], 4312 ^ _196263 : [(4313 ^ _196263) ^ [_344998] : [_344011 = _344998, rpoint(_344998)]], _344015 = _344013, rline(_344013)], (3880 ^ _196263) ^ [_330270, _330272, _330274, _330276] : [3900 ^ _196263 : [(3903 ^ _196263) ^ [] : [-(rpoint(3899 ^ [_330270, _330272, _330274, _330276]))], (3901 ^ _196263) ^ [] : [rS(3899 ^ [_330270, _330272, _330274, _330276], _330272, _330276)]], _330272 = _330270, -(ron(_330272, _330276)), rpoint(_330270), _330276 = _330274, rline(_330274)], (4120 ^ _196263) ^ [_338515, _338517, _338519, _338521, _338523, _338525] : [4180 ^ _196263 : [(4183 ^ _196263) ^ [] : [4179 ^ [_338515, _338517, _338519, _338521, _338523, _338525] = _338517], (4185 ^ _196263) ^ [] : [-(rR(4179 ^ [_338515, _338517, _338519, _338521, _338523, _338525], _338521, _338519))], (4187 ^ _196263) ^ [] : [-(rpoint(4179 ^ [_338515, _338517, _338519, _338521, _338523, _338525]))], (4181 ^ _196263) ^ [] : [4179 ^ [_338515, _338517, _338519, _338521, _338523, _338525] = _338515]], rR(_338515, _338521, _338519), rR(_338517, _338521, _338519), ron(_338517, _338525), ron(_338519, _338525), ron(_338521, _338525), 4143 ^ _196263 : [(4144 ^ _196263) ^ [_339251] : [_338515 = _339251, rpoint(_339251)]], 4151 ^ _196263 : [(4152 ^ _196263) ^ [_339508] : [_338517 = _339508, rpoint(_339508)]], 4159 ^ _196263 : [(4160 ^ _196263) ^ [_339765] : [_338519 = _339765, rpoint(_339765)]], 4167 ^ _196263 : [(4168 ^ _196263) ^ [_340022] : [_338521 = _340022, rpoint(_340022)]], _338525 = _338523, rline(_338523)], (985 ^ _196263) ^ [_234703, _234705, _234707, _234709, _234711, _234713] : [1032 ^ _196263 : [(1039 ^ _196263) ^ [] : [vangle(_234713, _234709, _234707) = vperp, -(vangle(_234713, _234709, _234707) = vangle(_234707, _234709, _234711))], (1033 ^ _196263) ^ [] : [vangle(_234713, _234709, _234707) = vangle(_234707, _234709, _234711), -(vangle(_234713, _234709, _234707) = vperp)]], -(ron(_234707, _234705)), rR(_234709, _234713, _234711), _234705 = _234703, rline(_234703), 1004 ^ _196263 : [(1005 ^ _196263) ^ [_235317] : [_234707 = _235317, rpoint(_235317)]], 1012 ^ _196263 : [(1013 ^ _196263) ^ [_235574] : [_234709 = _235574, rpoint(_235574)]], 1020 ^ _196263 : [(1021 ^ _196263) ^ [_235831] : [_234711 = _235831, rpoint(_235831)]], 1026 ^ _196263 : [(1027 ^ _196263) ^ [_236046] : [_234713 = _236046, rpoint(_236046)]]], (3116 ^ _196263) ^ [_304229, _304231, _304233, _304235] : [-(rR(_304229, _304235, _304231)), rR(_304229, _304235, _304233), rR(_304233, _304235, _304231), 3127 ^ _196263 : [(3128 ^ _196263) ^ [_304601] : [_304229 = _304601, rpoint(_304601)]], 3135 ^ _196263 : [(3136 ^ _196263) ^ [_304838] : [_304231 = _304838, rpoint(_304838)]], 3143 ^ _196263 : [(3144 ^ _196263) ^ [_305075] : [_304233 = _305075, rpoint(_305075)]], 3149 ^ _196263 : [(3150 ^ _196263) ^ [_305274] : [_304235 = _305274, rpoint(_305274)]]], (266 ^ _196263) ^ [] : [-(ron(vd1055, vd1063))], (1279 ^ _196263) ^ [_244328, _244330, _244332, _244334, _244336, _244338] : [-(vg(_244338, _244336, _244334) = vg(_244332, _244330, _244328)), vangle(_244334, _244338, _244336) = vangle(_244328, _244332, _244330), vangle(_244336, _244334, _244338) = vangle(_244330, _244328, _244332), vangle(_244338, _244336, _244334) = vangle(_244332, _244330, _244328), vf(_244334, _244338) = vf(_244328, _244332), vf(_244336, _244334) = vf(_244330, _244328), vf(_244338, _244336) = vf(_244332, _244330), 1306 ^ _196263 : [(1307 ^ _196263) ^ [_245247] : [_244328 = _245247, rpoint(_245247)]], 1314 ^ _196263 : [(1315 ^ _196263) ^ [_245504] : [_244330 = _245504, rpoint(_245504)]], 1322 ^ _196263 : [(1323 ^ _196263) ^ [_245761] : [_244332 = _245761, rpoint(_245761)]], 1330 ^ _196263 : [(1331 ^ _196263) ^ [_246018] : [_244334 = _246018, rpoint(_246018)]], 1338 ^ _196263 : [(1339 ^ _196263) ^ [_246275] : [_244336 = _246275, rpoint(_246275)]], 1344 ^ _196263 : [(1345 ^ _196263) ^ [_246490] : [_244338 = _246490, rpoint(_246490)]]], (2788 ^ _196263) ^ [_293828, _293830, _293832, _293834, _293836] : [-(rS(_293836, _293832, _293830)), -(rS(_293834, _293832, _293830)), -(rS(_293836, _293834, _293830)), -(ron(_293832, _293830)), -(ron(_293834, _293830)), -(ron(_293836, _293830)), _293830 = _293828, rline(_293828), 2815 ^ _196263 : [(2816 ^ _196263) ^ [_294599] : [_293832 = _294599, rpoint(_294599)]], 2823 ^ _196263 : [(2824 ^ _196263) ^ [_294846] : [_293834 = _294846, rpoint(_294846)]], 2829 ^ _196263 : [(2830 ^ _196263) ^ [_295053] : [_293836 = _295053, rpoint(_295053)]]], (3799 ^ _196263) ^ [_327524, _327526, _327528, _327530] : [3831 ^ _196263 : [(3834 ^ _196263) ^ [] : [3830 ^ [_327524, _327526, _327528, _327530] = _327526], (3836 ^ _196263) ^ [] : [-(ron(3830 ^ [_327524, _327526, _327528, _327530], _327530))], (3838 ^ _196263) ^ [] : [-(rpoint(3830 ^ [_327524, _327526, _327528, _327530]))], (3832 ^ _196263) ^ [] : [3830 ^ [_327524, _327526, _327528, _327530] = _327524]], ron(_327524, _327530), ron(_327526, _327530), 3810 ^ _196263 : [(3811 ^ _196263) ^ [_327896] : [_327524 = _327896, rpoint(_327896)]], 3818 ^ _196263 : [(3819 ^ _196263) ^ [_328133] : [_327526 = _328133, rpoint(_328133)]], _327530 = _327528, rcircle(_327528)], (367 ^ _196263) ^ [_208208, _208210, _208212, _208214, _208216] : [-(_208210 = _208208), vf(_208212, _208216) = vf(_208212, _208214), ron(_208214, _208208), ron(_208216, _208210), rcenter(_208212, _208208), rcenter(_208212, _208210), 390 ^ _196263 : [(391 ^ _196263) ^ [_208858] : [_208214 = _208858, rpoint(_208858)]], 396 ^ _196263 : [(397 ^ _196263) ^ [_209065] : [_208216 = _209065, rpoint(_209065)]]], (2030 ^ _196263) ^ [_268540, _268542, _268544, _268546, _268548, _268550, _268552, _268554] : [rS(_268550, _268548, _268542), ron(_268544, _268542), ron(_268546, _268542), _268542 = _268540, rline(_268540), rcenter(_268544, _268552), rcenter(_268546, _268554), -(_268550 = _268548), ron(_268548, _268552), ron(_268548, _268554), ron(_268550, _268552), ron(_268550, _268554), 2077 ^ _196263 : [(2078 ^ _196263) ^ [_269954] : [_268548 = _269954, rpoint(_269954)]], 2085 ^ _196263 : [(2086 ^ _196263) ^ [_270231] : [_268550 = _270231, rpoint(_270231)]], rintersect(_268554, _268552), -(_268554 = _268552), 2101 ^ _196263 : [(2102 ^ _196263) ^ [_270715] : [_268552 = _270715, rcircle(_270715)]], 2107 ^ _196263 : [(2108 ^ _196263) ^ [_270946] : [_268554 = _270946, rcircle(_270946)]]], (3960 ^ _196263) ^ [_333109, _333111, _333113, _333115, _333117, _333119] : [3992 ^ _196263 : [(3995 ^ _196263) ^ [] : [3991 ^ [_333109, _333111, _333113, _333115, _333117, _333119] = _333115], (3997 ^ _196263) ^ [] : [-(rS(3991 ^ [_333109, _333111, _333113, _333115, _333117, _333119], _333115, _333119))], (3999 ^ _196263) ^ [] : [-(rpoint(3991 ^ [_333109, _333111, _333113, _333115, _333117, _333119]))], (3993 ^ _196263) ^ [] : [3991 ^ [_333109, _333111, _333113, _333115, _333117, _333119] = _333111]], _333115 = _333113, _333111 = _333109, rS(_333111, _333115, _333119), rpoint(_333109), -(ron(_333115, _333119)), rpoint(_333113), _333119 = _333117, rline(_333117)], (294 ^ _196263) ^ [] : [-(vd1057 = vd1058)], (298 ^ _196263) ^ [] : [-(rpoint(vd1058))], (1898 ^ _196263) ^ [_264240, _264242, _264244, _264246, _264248, _264250] : [-(rintersect(_264242, _264246)), ron(_264250, _264242), rinside(_264250, _264246), _264242 = _264240, rline(_264240), _264246 = _264244, rcircle(_264244), _264250 = _264248, rpoint(_264248)], (3500 ^ _196263) ^ [_316932, _316934] : [3521 ^ _196263 : [(3526 ^ _196263) ^ [] : [-(ron(3520 ^ [_316932, _316934], _316934))], (3532 ^ _196263) ^ [] : [-(ron(3519 ^ [_316932, _316934], _316934))], (3534 ^ _196263) ^ [] : [-(rpoint(3519 ^ [_316932, _316934]))], (3528 ^ _196263) ^ [] : [-(rpoint(3520 ^ [_316932, _316934]))], (3522 ^ _196263) ^ [] : [3519 ^ [_316932, _316934] = 3520 ^ [_316932, _316934]], (3524 ^ _196263) ^ [] : [-(ron(3520 ^ [_316932, _316934], _316932))], (3530 ^ _196263) ^ [] : [-(ron(3519 ^ [_316932, _316934], _316932))]], rintersect(_316934, _316932), 3507 ^ _196263 : [(3508 ^ _196263) ^ [_317204] : [_316932 = _317204, rcircle(_317204)]], 3513 ^ _196263 : [(3514 ^ _196263) ^ [_317387] : [_316934 = _317387, rcircle(_317387)]]], (2490 ^ _196263) ^ [_284079, _284081, _284083, _284085, _284087, _284089, _284091] : [rS(_284083, _284079, _284089), rS(_284083, _284081, _284087), rS(_284081, _284079, _284091), ron(_284079, _284087), ron(_284081, _284087), ron(_284083, _284091), ron(_284085, _284087), ron(_284085, _284089), ron(_284085, _284091), 2525 ^ _196263 : [(2526 ^ _196263) ^ [_285167] : [_284079 = _285167, rpoint(_285167)]], 2533 ^ _196263 : [(2534 ^ _196263) ^ [_285434] : [_284081 = _285434, rpoint(_285434)]], 2541 ^ _196263 : [(2542 ^ _196263) ^ [_285701] : [_284083 = _285701, rpoint(_285701)]], 2549 ^ _196263 : [(2550 ^ _196263) ^ [_285968] : [_284085 = _285968, rpoint(_285968)]], 2557 ^ _196263 : [(2558 ^ _196263) ^ [_286235] : [_284087 = _286235, rline(_286235)]], 2565 ^ _196263 : [(2566 ^ _196263) ^ [_286502] : [_284089 = _286502, rline(_286502)]], 2571 ^ _196263 : [(2572 ^ _196263) ^ [_286725] : [_284091 = _286725, rline(_286725)]]], (3771 ^ _196263) ^ [_326525, _326527] : [3779 ^ _196263 : [(3784 ^ _196263) ^ [] : [-(rpoint(3778 ^ [_326525, _326527]))], (3782 ^ _196263) ^ [] : [rinside(3778 ^ [_326525, _326527], _326527)], (3780 ^ _196263) ^ [] : [ron(3778 ^ [_326525, _326527], _326527)]], _326527 = _326525, rcircle(_326525)], (252 ^ _196263) ^ [_204610, _204612, _204614, _204616, _204618, _204620] : [-(vtriangle(_204620, _204616, _204612) = vtriangle(_204618, _204614, _204610)), _204620 = _204618, _204616 = _204614, _204612 = _204610], (242 ^ _196263) ^ [_204243, _204245, _204247, _204249] : [-(vplus(_204249, _204245) = vplus(_204247, _204243)), _204249 = _204247, _204245 = _204243], (296 ^ _196263) ^ [] : [vd1055 = vd1057], (3905 ^ _196263) ^ [_331131, _331133, _331135, _331137, _331139, _331141, _331143, _331145] : [3949 ^ _196263 : [(3950 ^ _196263) ^ [] : [3948 ^ [_331131, _331133, _331135, _331137, _331139, _331141, _331143, _331145] = _331133], (3954 ^ _196263) ^ [] : [3948 ^ [_331131, _331133, _331135, _331137, _331139, _331141, _331143, _331145] = _331141], (3958 ^ _196263) ^ [] : [-(rpoint(3948 ^ [_331131, _331133, _331135, _331137, _331139, _331141, _331143, _331145]))], (3956 ^ _196263) ^ [] : [-(rS(3948 ^ [_331131, _331133, _331135, _331137, _331139, _331141, _331143, _331145], _331141, _331145))], (3952 ^ _196263) ^ [] : [3948 ^ [_331131, _331133, _331135, _331137, _331139, _331141, _331143, _331145] = _331137]], _331141 = _331139, _331137 = _331135, _331133 = _331131, rS(_331133, _331141, _331145), rpoint(_331131), rS(_331137, _331141, _331145), rpoint(_331135), -(ron(_331141, _331145)), rpoint(_331139), _331145 = _331143, rline(_331143)], (4402 ^ _196263) ^ [_348124, _348126] : [4410 ^ _196263 : [(4413 ^ _196263) ^ [] : [-(rpoint(4409 ^ [_348124, _348126]))], (4411 ^ _196263) ^ [] : [-(ron(4409 ^ [_348124, _348126], _348126))]], _348126 = _348124, rline(_348124)], (1984 ^ _196263) ^ [_267035, _267037, _267039, _267041, _267043, _267045] : [-(rintersect(_267041, _267037)), _267041 = _267039, _267037 = _267035, ron(_267043, _267037), ron(_267045, _267037), rline(_267035), -(rS(_267045, _267043, _267041)), rline(_267039), 2015 ^ _196263 : [(2016 ^ _196263) ^ [_267900] : [_267043 = _267900, rpoint(_267900)]], 2021 ^ _196263 : [(2022 ^ _196263) ^ [_268115] : [_267045 = _268115, rpoint(_268115)]]], (3204 ^ _196263) ^ [_307106, _307108, _307110, _307112, _307114] : [-(ron(_307110, _307108)), _307108 = _307106, ron(_307112, _307108), ron(_307114, _307108), rR(_307112, _307114, _307110), rline(_307106), 3227 ^ _196263 : [(3228 ^ _196263) ^ [_307760] : [_307110 = _307760, rpoint(_307760)]], 3235 ^ _196263 : [(3236 ^ _196263) ^ [_308007] : [_307112 = _308007, rpoint(_308007)]], 3241 ^ _196263 : [(3242 ^ _196263) ^ [_308214] : [_307114 = _308214, rpoint(_308214)]]]], input).
% 44.43/43.84  ncf('1',plain,[-(rcenter(vd1057, 4571 ^ []))],start(4575 ^ 0)).
% 44.43/43.84  ncf('1.1',plain,[rcenter(vd1057, 4571 ^ []), 361 : ron(vd1055, 4571 ^ []), 361 : -(vf(vd1057, vd1055) = vf(vd1057, vd1055)), 361 : ron(vd1055, 4571 ^ []), 361 : vd1055 = 4561 ^ [vskolem1061, vd1055], 361 : rpoint(4561 ^ [vskolem1061, vd1055]), 361 : vd1055 = 4561 ^ [vskolem1061, vd1055], 361 : rpoint(4561 ^ [vskolem1061, vd1055])],extension(331 ^ 1,bind([[_207103, _207105, _207107, _207109, _207111, _207113], [4561 ^ [vskolem1061, vd1055], vd1055, 4571 ^ [], vd1057, 4561 ^ [vskolem1061, vd1055], vd1055]]))).
% 44.43/43.84  ncf('1.1.1',plain,[-(ron(vd1055, 4571 ^ []))],extension(4573 ^ 4)).
% 44.43/43.84  ncf('1.1.2',plain,[vf(vd1057, vd1055) = vf(vd1057, vd1055), -(4571 ^ [] = vd1063), ron(vd1055, vd1063), ron(vd1055, 4571 ^ []), rcenter(vd1057, vd1063), rcenter(vd1057, 4571 ^ []), 391 : vd1055 = vd1056, 391 : rpoint(vd1056), 397 : vd1055 = vd1056, 397 : rpoint(vd1056)],extension(367 ^ 4,bind([[_208208, _208210, _208212, _208214, _208216, _208858, _209065], [vd1063, 4571 ^ [], vd1057, vd1055, vd1055, vd1056, vd1056]]))).
% 44.43/43.84  ncf('1.1.2.1',plain,[4571 ^ [] = vd1063],extension(4579 ^ 5)).
% 44.43/43.84  ncf('1.1.2.2',plain,[-(ron(vd1055, vd1063))],extension(266 ^ 5)).
% 44.43/43.84  ncf('1.1.2.3',plain,[-(ron(vd1055, 4571 ^ []))],lemmata('[1].x')).
% 44.43/43.84  ncf('1.1.2.4',plain,[-(rcenter(vd1057, vd1063))],extension(268 ^ 5)).
% 44.43/43.84  ncf('1.1.2.5',plain,[-(rcenter(vd1057, 4571 ^ []))],reduction('1')).
% 44.43/43.84  ncf('1.1.2.6',plain,[-(vd1055 = vd1056)],extension(300 ^ 7)).
% 44.43/43.84  ncf('1.1.2.7',plain,[-(rpoint(vd1056))],extension(302 ^ 7)).
% 44.43/43.84  ncf('1.1.2.8',plain,[-(vd1055 = vd1056)],extension(300 ^ 7)).
% 44.43/43.84  ncf('1.1.2.9',plain,[-(rpoint(vd1056))],extension(302 ^ 7)).
% 44.43/43.84  ncf('1.1.3',plain,[-(ron(vd1055, 4571 ^ []))],extension(4573 ^ 2)).
% 44.43/43.84  ncf('1.1.4',plain,[-(vd1055 = 4561 ^ [vskolem1061, vd1055]), rcenter(vd1055, vskolem1061)],extension(4558 ^ 2,bind([[_353972, _353974], [vskolem1061, vd1055]]))).
% 44.43/43.84  ncf('1.1.4.1',plain,[-(rcenter(vd1055, vskolem1061))],extension(290 ^ 3)).
% 44.43/43.84  ncf('1.1.5',plain,[-(rpoint(4561 ^ [vskolem1061, vd1055])), rcenter(vd1055, vskolem1061)],extension(4558 ^ 2,bind([[_353972, _353974], [vskolem1061, vd1055]]))).
% 44.43/43.84  ncf('1.1.5.1',plain,[-(rcenter(vd1055, vskolem1061))],extension(290 ^ 3)).
% 44.43/43.84  ncf('1.1.6',plain,[-(vd1055 = 4561 ^ [vskolem1061, vd1055]), rcenter(vd1055, vskolem1061)],extension(4558 ^ 2,bind([[_353972, _353974], [vskolem1061, vd1055]]))).
% 44.43/43.84  ncf('1.1.6.1',plain,[-(rcenter(vd1055, vskolem1061))],extension(290 ^ 3)).
% 44.43/43.84  ncf('1.1.7',plain,[-(rpoint(4561 ^ [vskolem1061, vd1055]))],lemmata('[1].x')).
% 44.43/43.84  %-----------------------------------------------------
% 44.43/43.84  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------