%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO275+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May 19 11:12:24 EDT 2023

% Result   : Theorem 43.69s 42.77s
% Output   : Proof 43.69s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : GEO275+1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n027.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 04:46:51 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 43.69/42.77  
% 43.69/42.77  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 43.69/42.77  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.69/42.77  %-----------------------------------------------------
% 43.69/42.77  ncf(matrix, plain, [(4675 ^ _476418) ^ [] : [-(rcenter(vd1080, 4671 ^ []))], (4677 ^ _476418) ^ [] : [-(rcircle(4671 ^ []))], (4679 ^ _476418) ^ [] : [4671 ^ [] = vd1095], (4673 ^ _476418) ^ [] : [-(ron(vd1081, 4671 ^ []))], !, (260 ^ _313984) ^ [_322653, _322655, _322657, _322659] : [-(vplus(_322659, _322655) = vplus(_322657, _322653)), _322659 = _322657, _322655 = _322653], (3226 ^ _313984) ^ [_426084, _426086, _426088, _426090] : [3246 ^ _313984 : [(3251 ^ _313984) ^ [] : [-(rpoint(3245 ^ [_426084, _426086, _426088, _426090]))], (3249 ^ _313984) ^ [] : [-(rS(3245 ^ [_426084, _426086, _426088, _426090], _426086, _426090))], (3247 ^ _313984) ^ [] : [3245 ^ [_426084, _426086, _426088, _426090] = _426086]], _426086 = _426084, -(ron(_426086, _426090)), rpoint(_426084), _426090 = _426088, rline(_426088)], (4332 ^ _313984) ^ [_464219, _464221, _464223, _464225, _464227, _464229, _464231, _464233] : [4379 ^ _313984 : [(4380 ^ _313984) ^ [] : [-(vangle(_464229, _464233, _464225) = v0), -(rR(_464233, _464229, _464225)), ron(_464225, _464221)], (4390 ^ _313984) ^ [] : [vangle(_464229, _464233, _464225) = v0, 4393 ^ _313984 : [(4396 ^ _313984) ^ [] : [-(ron(_464225, _464221))], (4394 ^ _313984) ^ [] : [rR(_464233, _464229, _464225)]]]], ron(_464229, _464221), ron(_464233, _464221), -(_464233 = _464225), -(_464233 = _464229), _464221 = _464219, rline(_464219), _464225 = _464223, rpoint(_464223), _464229 = _464227, rpoint(_464227), _464233 = _464231, rpoint(_464231)], (449 ^ _313984) ^ [_328492, _328494] : [452 ^ _313984 : [(453 ^ _313984) ^ [_328642] : [_328492 = _328642, rpoint(_328642)]], 458 ^ _313984 : [(459 ^ _313984) ^ [_328825] : [_328494 = _328825, rpoint(_328825)]], 464 ^ _313984 : [(471 ^ _313984) ^ [] : [_328494 = _328492, -(vf(_328494, _328492) = v0)], (465 ^ _313984) ^ [] : [vf(_328494, _328492) = v0, -(_328494 = _328492)]]], (96 ^ _313984) ^ [_317142, _317144, _317146, _317148] : [-(rinside(_317146, _317142)), rinside(_317148, _317144), _317148 = _317146, _317144 = _317142], (3739 ^ _313984) ^ [_443845, _443847] : [3747 ^ _313984 : [(3750 ^ _313984) ^ [] : [-(rpoint(3746 ^ [_443845, _443847]))], (3748 ^ _313984) ^ [] : [3746 ^ [_443845, _443847] = _443847]], _443847 = _443845, rpoint(_443845)], (3024 ^ _313984) ^ [_419106, _419108, _419110, _419112] : [3056 ^ _313984 : [(3059 ^ _313984) ^ [] : [3055 ^ [_419106, _419108, _419110, _419112] = _419108], (3061 ^ _313984) ^ [] : [-(ron(3055 ^ [_419106, _419108, _419110, _419112], _419112))], (3063 ^ _313984) ^ [] : [-(rpoint(3055 ^ [_419106, _419108, _419110, _419112]))], (3057 ^ _313984) ^ [] : [3055 ^ [_419106, _419108, _419110, _419112] = _419106]], ron(_419106, _419112), ron(_419108, _419112), 3035 ^ _313984 : [(3036 ^ _313984) ^ [_419478] : [_419106 = _419478, rpoint(_419478)]], 3043 ^ _313984 : [(3044 ^ _313984) ^ [_419715] : [_419108 = _419715, rpoint(_419715)]], _419112 = _419110, rcircle(_419110)], (236 ^ _313984) ^ [_321778, _321780, _321782, _321784] : [-(vf(_321784, _321780) = vf(_321782, _321778)), _321784 = _321782, _321780 = _321778], (3752 ^ _313984) ^ [] : [-(rpoint(vd14))], (317 ^ _313984) ^ [] : [-(rpoint(313 ^ []))], (1777 ^ _313984) ^ [_377507, _377509, _377511, _377513, _377515, _377517, _377519, _377521] : [-(rS(_377511, _377507, _377521)), rS(_377511, _377507, _377517), rS(_377509, _377507, _377519), rS(_377513, _377511, _377517), rS(_377511, _377509, _377521), ron(_377509, _377517), ron(_377511, _377519), ron(_377513, _377521), ron(_377515, _377517), ron(_377515, _377519), ron(_377515, _377521), 1820 ^ _313984 : [(1821 ^ _313984) ^ [_378851] : [_377509 = _378851, rpoint(_378851)]], 1828 ^ _313984 : [(1829 ^ _313984) ^ [_379128] : [_377511 = _379128, rpoint(_379128)]], 1836 ^ _313984 : [(1837 ^ _313984) ^ [_379405] : [_377513 = _379405, rpoint(_379405)]], 1844 ^ _313984 : [(1845 ^ _313984) ^ [_379682] : [_377515 = _379682, rpoint(_379682)]], 1852 ^ _313984 : [(1853 ^ _313984) ^ [_379959] : [_377517 = _379959, rline(_379959)]], 1860 ^ _313984 : [(1861 ^ _313984) ^ [_380236] : [_377519 = _380236, rline(_380236)]], 1866 ^ _313984 : [(1867 ^ _313984) ^ [_380467] : [_377521 = _380467, rline(_380467)]]], (10 ^ _313984) ^ [_314419, _314421, _314423] : [-(_314423 = _314419), _314423 = _314421, _314421 = _314419], (3889 ^ _313984) ^ [_449114, _449116, _449118, _449120, _449122] : [-(_449116 = _449114), vf(_449118, _449122) = vf(_449118, _449120), ron(_449120, _449114), ron(_449122, _449116), rcenter(_449118, _449114), rcenter(_449118, _449116), 3912 ^ _313984 : [(3913 ^ _313984) ^ [_449764] : [_449120 = _449764, rpoint(_449764)]], 3918 ^ _313984 : [(3919 ^ _313984) ^ [_449971] : [_449122 = _449971, rpoint(_449971)]]], (1142 ^ _313984) ^ [_357153, _357155, _357157, _357159, _357161, _357163] : [-(rless(_357163, _357155)), rless(_357159, _357155), rless(_357163, _357159), _357155 = _357153, rreal(_357153), _357159 = _357157, rreal(_357157), _357163 = _357161, rreal(_357161)], (567 ^ _313984) ^ [_332319, _332321, _332323, _332325, _332327, _332329, _332331, _332333] : [615 ^ _313984 : [(618 ^ _313984) ^ [] : [-(ron(614 ^ [_332319, _332321, _332323, _332325, _332327, _332329, _332331, _332333], _332329))], (620 ^ _313984) ^ [] : [-(ron(614 ^ [_332319, _332321, _332323, _332325, _332327, _332329, _332331, _332333], _332333))], (622 ^ _313984) ^ [] : [-(rpoint(614 ^ [_332319, _332321, _332323, _332325, _332327, _332329, _332331, _332333]))], (616 ^ _313984) ^ [] : [-(rR(_332325, 614 ^ [_332319, _332321, _332323, _332325, _332327, _332329, _332331, _332333], _332321))]], -(_332321 = _332325), ron(_332321, _332329), _332321 = _332319, rpoint(_332319), ron(_332325, _332329), rinside(_332325, _332333), _332325 = _332323, rpoint(_332323), _332329 = _332327, rline(_332327), _332333 = _332331, rcircle(_332331)], (357 ^ _313984) ^ [] : [-(vd1085 = vd1086)], (4538 ^ _313984) ^ [_470975, _470977, _470979] : [4561 ^ _313984 : [(4564 ^ _313984) ^ [] : [-(vg(_470979, _470977, _470975) = vg(_470975, _470979, _470977))], (4562 ^ _313984) ^ [] : [-(vg(_470979, _470977, _470975) = vg(_470979, _470975, _470977))]], 4541 ^ _313984 : [(4542 ^ _313984) ^ [_471158] : [_470975 = _471158, rpoint(_471158)]], 4549 ^ _313984 : [(4550 ^ _313984) ^ [_471385] : [_470977 = _471385, rpoint(_471385)]], 4555 ^ _313984 : [(4556 ^ _313984) ^ [_471576] : [_470979 = _471576, rpoint(_471576)]]], (2367 ^ _313984) ^ [_397073, _397075, _397077, _397079] : [ron(_397079, _397075), rS(_397079, _397077, _397075), _397075 = _397073, rline(_397073), 2382 ^ _313984 : [(2383 ^ _313984) ^ [_397503] : [_397077 = _397503, rpoint(_397503)]], 2388 ^ _313984 : [(2389 ^ _313984) ^ [_397702] : [_397079 = _397702, rpoint(_397702)]]], (365 ^ _313984) ^ [_325938, _325940, _325942, _325944] : [-(vf(_325940, vskolem1052(_325944, _325942, _325940, _325938)) = vf(vskolem1052(_325944, _325942, _325940, _325938), _325944)), _325940 = _325938, -(_325944 = _325940), rpoint(_325938), _325944 = _325942, rpoint(_325942)], (1513 ^ _313984) ^ [_368719, _368721, _368723, _368725, _368727, _368729, _368731, _368733] : [rS(_368729, _368727, _368721), ron(_368723, _368721), ron(_368725, _368721), _368721 = _368719, rline(_368719), rcenter(_368723, _368731), rcenter(_368725, _368733), -(_368729 = _368727), ron(_368727, _368731), ron(_368727, _368733), ron(_368729, _368731), ron(_368729, _368733), 1560 ^ _313984 : [(1561 ^ _313984) ^ [_370133] : [_368727 = _370133, rpoint(_370133)]], 1568 ^ _313984 : [(1569 ^ _313984) ^ [_370410] : [_368729 = _370410, rpoint(_370410)]], rintersect(_368733, _368731), -(_368733 = _368731), 1584 ^ _313984 : [(1585 ^ _313984) ^ [_370894] : [_368731 = _370894, rcircle(_370894)]], 1590 ^ _313984 : [(1591 ^ _313984) ^ [_371125] : [_368733 = _371125, rcircle(_371125)]]], (3956 ^ _313984) ^ [_451423, _451425, _451427, _451429, _451431, _451433, _451435, _451437] : [4055 ^ _313984 : [(4056 ^ _313984) ^ [] : [-(rS(_451429, _451437, _451425)), ron(_451429, _451425), ron(_451429, _451427)], (4066 ^ _313984) ^ [] : [-(rintersect(_451427, _451425))]], rless(vplus(vangle(_451437, _451435, _451433), vangle(_451435, _451433, _451431)), vplus(vperp, vperp)), rS(_451437, _451431, _451425), -(_451435 = _451433), ron(_451431, _451423), ron(_451433, _451423), ron(_451433, _451425), ron(_451435, _451425), ron(_451435, _451427), ron(_451437, _451427), 3995 ^ _313984 : [(3996 ^ _313984) ^ [_452711] : [_451423 = _452711, rline(_452711)]], 4003 ^ _313984 : [(4004 ^ _313984) ^ [_452988] : [_451425 = _452988, rline(_452988)]], 4011 ^ _313984 : [(4012 ^ _313984) ^ [_453265] : [_451427 = _453265, rline(_453265)]], 4019 ^ _313984 : [(4020 ^ _313984) ^ [_453542] : [_451429 = _453542, rpoint(_453542)]], 4027 ^ _313984 : [(4028 ^ _313984) ^ [_453819] : [_451431 = _453819, rpoint(_453819)]], 4035 ^ _313984 : [(4036 ^ _313984) ^ [_454096] : [_451433 = _454096, rpoint(_454096)]], 4043 ^ _313984 : [(4044 ^ _313984) ^ [_454373] : [_451435 = _454373, rpoint(_454373)]], 4049 ^ _313984 : [(4050 ^ _313984) ^ [_454604] : [_451437 = _454604, rpoint(_454604)]]], (3345 ^ _313984) ^ [_430097, _430099, _430101, _430103, _430105, _430107] : [3405 ^ _313984 : [(3408 ^ _313984) ^ [] : [3404 ^ [_430097, _430099, _430101, _430103, _430105, _430107] = _430099], (3410 ^ _313984) ^ [] : [-(rR(3404 ^ [_430097, _430099, _430101, _430103, _430105, _430107], _430103, _430101))], (3412 ^ _313984) ^ [] : [-(rpoint(3404 ^ [_430097, _430099, _430101, _430103, _430105, _430107]))], (3406 ^ _313984) ^ [] : [3404 ^ [_430097, _430099, _430101, _430103, _430105, _430107] = _430097]], rR(_430097, _430103, _430101), rR(_430099, _430103, _430101), ron(_430099, _430107), ron(_430101, _430107), ron(_430103, _430107), 3368 ^ _313984 : [(3369 ^ _313984) ^ [_430833] : [_430097 = _430833, rpoint(_430833)]], 3376 ^ _313984 : [(3377 ^ _313984) ^ [_431090] : [_430099 = _431090, rpoint(_431090)]], 3384 ^ _313984 : [(3385 ^ _313984) ^ [_431347] : [_430101 = _431347, rpoint(_431347)]], 3392 ^ _313984 : [(3393 ^ _313984) ^ [_431604] : [_430103 = _431604, rpoint(_431604)]], _430107 = _430105, rline(_430105)], (2491 ^ _313984) ^ [_401035, _401037, _401039, _401041, _401043] : [-(rR(_401041, _401043, _401039)), -(rR(_401043, _401041, _401039)), -(rR(_401039, _401043, _401041)), _401037 = _401035, ron(_401039, _401037), ron(_401041, _401037), ron(_401043, _401037), rline(_401035), -(_401041 = _401039), -(_401043 = _401039), -(_401043 = _401041), 2526 ^ _313984 : [(2527 ^ _313984) ^ [_402002] : [_401039 = _402002, rpoint(_402002)]], 2534 ^ _313984 : [(2535 ^ _313984) ^ [_402249] : [_401041 = _402249, rpoint(_402249)]], 2540 ^ _313984 : [(2541 ^ _313984) ^ [_402456] : [_401043 = _402456, rpoint(_402456)]]], (1289 ^ _313984) ^ [] : [-(rreal(vd684))], (2397 ^ _313984) ^ [_398034, _398036, _398038, _398040] : [-(rS(_398038, _398040, _398036)), rS(_398040, _398038, _398036), _398036 = _398034, rline(_398034), 2412 ^ _313984 : [(2413 ^ _313984) ^ [_398463] : [_398038 = _398463, rpoint(_398463)]], 2418 ^ _313984 : [(2419 ^ _313984) ^ [_398662] : [_398040 = _398662, rpoint(_398662)]]], (2934 ^ _313984) ^ [_415899, _415901, _415903, _415905] : [2955 ^ _313984 : [(2960 ^ _313984) ^ [] : [-(ron(2954 ^ [_415899, _415901, _415903, _415905], _415901))], (2966 ^ _313984) ^ [] : [-(ron(2953 ^ [_415899, _415901, _415903, _415905], _415901))], (2968 ^ _313984) ^ [] : [-(rpoint(2953 ^ [_415899, _415901, _415903, _415905]))], (2962 ^ _313984) ^ [] : [-(rpoint(2954 ^ [_415899, _415901, _415903, _415905]))], (2956 ^ _313984) ^ [] : [2953 ^ [_415899, _415901, _415903, _415905] = 2954 ^ [_415899, _415901, _415903, _415905]], (2958 ^ _313984) ^ [] : [-(ron(2954 ^ [_415899, _415901, _415903, _415905], _415905))], (2964 ^ _313984) ^ [] : [-(ron(2953 ^ [_415899, _415901, _415903, _415905], _415905))]], rintersect(_415901, _415905), _415901 = _415899, rline(_415899), _415905 = _415903, rcircle(_415903)], (3833 ^ _313984) ^ [_447343, _447345, _447347, _447349, _447351] : [3876 ^ _313984 : [(3883 ^ _313984) ^ [] : [ron(_447347, _447345), -(vg(_447351, _447349, _447347) = v0)], (3877 ^ _313984) ^ [] : [vg(_447351, _447349, _447347) = v0, -(ron(_447347, _447345))]], ron(_447349, _447345), ron(_447351, _447345), -(_447351 = _447349), _447345 = _447343, rline(_447343), 3856 ^ _313984 : [(3857 ^ _313984) ^ [_448008] : [_447347 = _448008, rpoint(_448008)]], 3864 ^ _313984 : [(3865 ^ _313984) ^ [_448255] : [_447349 = _448255, rpoint(_448255)]], 3870 ^ _313984 : [(3871 ^ _313984) ^ [_448462] : [_447351 = _448462, rpoint(_448462)]]], (1415 ^ _313984) ^ [_365410, _365412, _365414, _365416] : [-(rintersect(1463 ^ [_365410, _365412, _365414, _365416], _365412)), -(rS(_365416, _365414, 1418 ^ [_365410, _365412, _365414, _365416])), 1423 ^ _313984 : [(1426 ^ _313984) ^ [] : [rinside(_365414, _365412)], (1424 ^ _313984) ^ [] : [ron(_365414, _365412)]], 1429 ^ _313984 : [(1432 ^ _313984) ^ [] : [rinside(_365416, _365412)], (1430 ^ _313984) ^ [] : [ron(_365416, _365412)]], 1435 ^ _313984 : [(1436 ^ _313984) ^ [_366104] : [_365410 = _366104, rcircle(_366104)]], 1443 ^ _313984 : [(1444 ^ _313984) ^ [_366341] : [_365412 = _366341, rcircle(_366341)]], 1451 ^ _313984 : [(1452 ^ _313984) ^ [_366578] : [_365414 = _366578, rpoint(_366578)]], 1457 ^ _313984 : [(1458 ^ _313984) ^ [_366777] : [_365416 = _366777, rpoint(_366777)]]], (4434 ^ _313984) ^ [_467392, _467394, _467396] : [-(vplus(vf(_467396, _467394), vf(_467394, _467392)) = vf(_467396, _467392)), rR(_467394, _467396, _467392), 4441 ^ _313984 : [(4442 ^ _313984) ^ [_467656] : [_467392 = _467656, rpoint(_467656)]], 4449 ^ _313984 : [(4450 ^ _313984) ^ [_467883] : [_467394 = _467883, rpoint(_467883)]], 4455 ^ _313984 : [(4456 ^ _313984) ^ [_468074] : [_467396 = _468074, rpoint(_468074)]]], (3683 ^ _313984) ^ [_441803, _441805, _441807] : [3707 ^ _313984 : [(3710 ^ _313984) ^ [] : [3706 ^ [_441803, _441805, _441807] = _441805], (3712 ^ _313984) ^ [] : [3706 ^ [_441803, _441805, _441807] = _441807], (3714 ^ _313984) ^ [] : [-(rpoint(3706 ^ [_441803, _441805, _441807]))], (3708 ^ _313984) ^ [] : [3706 ^ [_441803, _441805, _441807] = _441803]], 3686 ^ _313984 : [(3687 ^ _313984) ^ [_441992] : [_441803 = _441992, rpoint(_441992)]], 3694 ^ _313984 : [(3695 ^ _313984) ^ [_442219] : [_441805 = _442219, rpoint(_442219)]], 3700 ^ _313984 : [(3701 ^ _313984) ^ [_442410] : [_441807 = _442410, rpoint(_442410)]]], (361 ^ _313984) ^ [] : [vd1085 = vd1080], (409 ^ _313984) ^ [_327266, _327268, _327270, _327272] : [-(rpoint(vskolem1052(_327272, _327270, _327268, _327266))), _327268 = _327266, -(_327272 = _327268), rpoint(_327266), _327272 = _327270, rpoint(_327270)], (40 ^ _313984) ^ [_315350, _315352, _315354, _315356] : [-(rintersect(_315354, _315350)), rintersect(_315356, _315352), _315356 = _315354, _315352 = _315350], (1875 ^ _313984) ^ [_380936, _380938, _380940, _380942, _380944, _380946, _380948] : [-(rS(_380940, _380938, _380944)), -(_380940 = _380942), -(ron(_380936, _380946)), -(rS(_380940, _380936, _380946)), rS(_380938, _380936, _380948), ron(_380936, _380944), ron(_380938, _380946), ron(_380940, _380948), ron(_380942, _380944), ron(_380942, _380946), ron(_380942, _380948), 1918 ^ _313984 : [(1919 ^ _313984) ^ [_382241] : [_380936 = _382241, rpoint(_382241)]], 1926 ^ _313984 : [(1927 ^ _313984) ^ [_382508] : [_380938 = _382508, rpoint(_382508)]], 1934 ^ _313984 : [(1935 ^ _313984) ^ [_382775] : [_380940 = _382775, rpoint(_382775)]], 1942 ^ _313984 : [(1943 ^ _313984) ^ [_383042] : [_380942 = _383042, rpoint(_383042)]], 1950 ^ _313984 : [(1951 ^ _313984) ^ [_383309] : [_380944 = _383309, rline(_383309)]], 1958 ^ _313984 : [(1959 ^ _313984) ^ [_383576] : [_380946 = _383576, rline(_383576)]], 1964 ^ _313984 : [(1965 ^ _313984) ^ [_383799] : [_380948 = _383799, rline(_383799)]]], (2449 ^ _313984) ^ [_399635, _399637, _399639, _399641] : [rR(_399639, _399637, _399635), rR(_399639, _399641, _399635), rR(_399639, _399641, _399637), 2460 ^ _313984 : [(2461 ^ _313984) ^ [_400009] : [_399635 = _400009, rpoint(_400009)]], 2468 ^ _313984 : [(2469 ^ _313984) ^ [_400246] : [_399637 = _400246, rpoint(_400246)]], 2476 ^ _313984 : [(2477 ^ _313984) ^ [_400483] : [_399639 = _400483, rpoint(_400483)]], 2482 ^ _313984 : [(2483 ^ _313984) ^ [_400682] : [_399641 = _400682, rpoint(_400682)]]], (2970 ^ _313984) ^ [_417324, _417326, _417328, _417330] : [2990 ^ _313984 : [(2995 ^ _313984) ^ [] : [-(rpoint(2989 ^ [_417324, _417326, _417328, _417330]))], (2993 ^ _313984) ^ [] : [-(ron(2989 ^ [_417324, _417326, _417328, _417330], _417326))], (2991 ^ _313984) ^ [] : [-(ron(2989 ^ [_417324, _417326, _417328, _417330], _417330))]], rintersect(_417326, _417330), _417326 = _417324, rline(_417324), _417330 = _417328, rcircle(_417328)], (128 ^ _313984) ^ [_318195, _318197, _318199, _318201] : [-(rgeq(_318199, _318195)), rgeq(_318201, _318197), _318201 = _318199, _318197 = _318195], (2757 ^ _313984) ^ [_409540, _409542, _409544, _409546, _409548, _409550, _409552] : [2805 ^ _313984 : [(2808 ^ _313984) ^ [] : [-(ron(2804 ^ [_409540, _409542, _409544, _409546, _409548, _409550, _409552], _409550))], (2810 ^ _313984) ^ [] : [-(ron(2804 ^ [_409540, _409542, _409544, _409546, _409548, _409550, _409552], _409552))], (2812 ^ _313984) ^ [] : [-(rpoint(2804 ^ [_409540, _409542, _409544, _409546, _409548, _409550, _409552]))], (2806 ^ _313984) ^ [] : [rS(2804 ^ [_409540, _409542, _409544, _409546, _409548, _409550, _409552], _409540, _409548)]], -(ron(_409540, _409548)), ron(_409542, _409548), ron(_409544, _409548), rcenter(_409542, _409550), rcenter(_409544, _409552), rintersect(_409552, _409550), _409548 = _409546, rline(_409546), 2792 ^ _313984 : [(2793 ^ _313984) ^ [_410567] : [_409550 = _410567, rcircle(_410567)]], 2798 ^ _313984 : [(2799 ^ _313984) ^ [_410790] : [_409552 = _410790, rcircle(_410790)]]], (3130 ^ _313984) ^ [_422713, _422715, _422717, _422719, _422721, _422723, _422725, _422727] : [3174 ^ _313984 : [(3175 ^ _313984) ^ [] : [3173 ^ [_422713, _422715, _422717, _422719, _422721, _422723, _422725, _422727] = _422715], (3179 ^ _313984) ^ [] : [3173 ^ [_422713, _422715, _422717, _422719, _422721, _422723, _422725, _422727] = _422723], (3183 ^ _313984) ^ [] : [-(rpoint(3173 ^ [_422713, _422715, _422717, _422719, _422721, _422723, _422725, _422727]))], (3181 ^ _313984) ^ [] : [-(rS(3173 ^ [_422713, _422715, _422717, _422719, _422721, _422723, _422725, _422727], _422723, _422727))], (3177 ^ _313984) ^ [] : [3173 ^ [_422713, _422715, _422717, _422719, _422721, _422723, _422725, _422727] = _422719]], _422723 = _422721, _422719 = _422717, _422715 = _422713, rS(_422715, _422723, _422727), rpoint(_422713), rS(_422719, _422723, _422727), rpoint(_422717), -(ron(_422723, _422727)), rpoint(_422721), _422727 = _422725, rline(_422725)], (315 ^ _313984) ^ [] : [-(vd1081 = 313 ^ [])], (2733 ^ _313984) ^ [_408721, _408723] : [rcenter(_408723, _408721), -(rinside(_408723, _408721))], (2141 ^ _313984) ^ [_389763, _389765, _389767, _389769, _389771] : [rS(_389771, _389767, _389765), ron(_389769, _389765), rR(_389769, _389771, _389767), _389765 = _389763, rline(_389763), 2160 ^ _313984 : [(2161 ^ _313984) ^ [_390323] : [_389767 = _390323, rpoint(_390323)]], 2168 ^ _313984 : [(2169 ^ _313984) ^ [_390570] : [_389769 = _390570, rpoint(_390570)]], 2174 ^ _313984 : [(2175 ^ _313984) ^ [_390777] : [_389771 = _390777, rpoint(_390777)]]], (320 ^ _313984) ^ [] : [-(vd1080 = 318 ^ [])], (359 ^ _313984) ^ [] : [vd1085 = vd1081], (363 ^ _313984) ^ [] : [-(rpoint(vd1086))], (1112 ^ _313984) ^ [_356227, _356229, _356231, _356233, _356235, _356237] : [-(rless(vplus(_356237, _356229), vplus(_356233, _356229))), rless(_356237, _356233), _356229 = _356227, rreal(_356227), _356233 = _356231, rreal(_356231), _356237 = _356235, rreal(_356235)], (351 ^ _313984) ^ [] : [-(vf(vd1089, vd1080) = vf(vd1085, vd1080))], (3627 ^ _313984) ^ [_439706, _439708] : [3635 ^ _313984 : [(3638 ^ _313984) ^ [] : [-(rpoint(3634 ^ [_439706, _439708]))], (3636 ^ _313984) ^ [] : [-(ron(3634 ^ [_439706, _439708], _439708))]], _439708 = _439706, rline(_439706)], (3065 ^ _313984) ^ [_420519, _420521, _420523, _420525] : [3085 ^ _313984 : [(3090 ^ _313984) ^ [] : [-(rpoint(3084 ^ [_420519, _420521, _420523, _420525]))], (3088 ^ _313984) ^ [] : [-(ron(3084 ^ [_420519, _420521, _420523, _420525], _420525))], (3086 ^ _313984) ^ [] : [3084 ^ [_420519, _420521, _420523, _420525] = _420521]], ron(_420521, _420525), _420521 = _420519, rpoint(_420519), _420525 = _420523, rcircle(_420523)], (477 ^ _313984) ^ [_329364, _329366, _329368] : [504 ^ _313984 : [(507 ^ _313984) ^ [] : [_329368 = _329364], (509 ^ _313984) ^ [] : [_329368 = _329366], (511 ^ _313984) ^ [] : [-(rR(_329366, _329364, _329368))], (505 ^ _313984) ^ [] : [rR(_329368, _329366, _329364)]], rR(_329366, _329368, _329364), 484 ^ _313984 : [(485 ^ _313984) ^ [_329642] : [_329364 = _329642, rpoint(_329642)]], 492 ^ _313984 : [(493 ^ _313984) ^ [_329869] : [_329366 = _329869, rpoint(_329869)]], 498 ^ _313984 : [(499 ^ _313984) ^ [_330060] : [_329368 = _330060, rpoint(_330060)]]], (4592 ^ _313984) ^ [_472768, _472770] : [-(vg(_472770, _472770, _472768) = v0), 4595 ^ _313984 : [(4596 ^ _313984) ^ [_472913] : [_472768 = _472913, rpoint(_472913)]], 4601 ^ _313984 : [(4602 ^ _313984) ^ [_473096] : [_472770 = _473096, rpoint(_473096)]]], (1287 ^ _313984) ^ [] : [-(v0 = vd684)], (222 ^ _313984) ^ [_321290, _321292, _321294, _321296, _321298, _321300] : [-(vtriangle(_321300, _321296, _321292) = vtriangle(_321298, _321294, _321290)), _321300 = _321298, _321296 = _321294, _321292 = _321290], (4068 ^ _313984) ^ [_455369, _455371, _455373, _455375, _455377, _455379, _455381] : [-(vangle(_455379, _455381, _455377) = vangle(_455375, _455381, _455373)), -(rR(_455381, _455377, _455373)), -(rR(_455381, _455379, _455375)), -(_455373 = _455381), -(_455375 = _455381), -(_455377 = _455381), -(_455379 = _455381), ron(_455373, _455369), ron(_455377, _455369), ron(_455375, _455371), ron(_455379, _455371), ron(_455381, _455371), 4115 ^ _313984 : [(4116 ^ _313984) ^ [_456795] : [_455369 = _456795, rline(_456795)]], 4123 ^ _313984 : [(4124 ^ _313984) ^ [_457062] : [_455371 = _457062, rline(_457062)]], 4131 ^ _313984 : [(4132 ^ _313984) ^ [_457329] : [_455373 = _457329, rpoint(_457329)]], 4139 ^ _313984 : [(4140 ^ _313984) ^ [_457596] : [_455375 = _457596, rpoint(_457596)]], 4147 ^ _313984 : [(4148 ^ _313984) ^ [_457863] : [_455377 = _457863, rpoint(_457863)]], 4155 ^ _313984 : [(4156 ^ _313984) ^ [_458130] : [_455379 = _458130, rpoint(_458130)]], 4161 ^ _313984 : [(4162 ^ _313984) ^ [_458353] : [_455381 = _458353, rpoint(_458353)]]], (3640 ^ _313984) ^ [_440173, _440175, _440177, _440179] : [3672 ^ _313984 : [(3673 ^ _313984) ^ [] : [3671 ^ [_440173, _440175, _440177, _440179] = _440173], (3677 ^ _313984) ^ [] : [3671 ^ [_440173, _440175, _440177, _440179] = _440177], (3681 ^ _313984) ^ [] : [-(rpoint(3671 ^ [_440173, _440175, _440177, _440179]))], (3679 ^ _313984) ^ [] : [3671 ^ [_440173, _440175, _440177, _440179] = _440179], (3675 ^ _313984) ^ [] : [3671 ^ [_440173, _440175, _440177, _440179] = _440175]], 3643 ^ _313984 : [(3644 ^ _313984) ^ [_440390] : [_440173 = _440390, rpoint(_440390)]], 3651 ^ _313984 : [(3652 ^ _313984) ^ [_440627] : [_440175 = _440627, rpoint(_440627)]], 3659 ^ _313984 : [(3660 ^ _313984) ^ [_440864] : [_440177 = _440864, rpoint(_440864)]], 3665 ^ _313984 : [(3666 ^ _313984) ^ [_441063] : [_440179 = _441063, rpoint(_441063)]]], (194 ^ _313984) ^ [_320218, _320220] : [-(rcircle(_320218)), _320220 = _320218, rcircle(_320220)], (3105 ^ _313984) ^ [_421852, _421854, _421856, _421858] : [3125 ^ _313984 : [(3128 ^ _313984) ^ [] : [-(rpoint(3124 ^ [_421852, _421854, _421856, _421858]))], (3126 ^ _313984) ^ [] : [rS(3124 ^ [_421852, _421854, _421856, _421858], _421854, _421858)]], _421854 = _421852, -(ron(_421854, _421858)), rpoint(_421852), _421858 = _421856, rline(_421856)], (2641 ^ _313984) ^ [_405807, _405809, _405811, _405813, _405815] : [-(ron(_405813, _405809)), _405809 = _405807, ron(_405811, _405809), ron(_405815, _405809), rR(_405813, _405815, _405811), rline(_405807), 2664 ^ _313984 : [(2665 ^ _313984) ^ [_406461] : [_405811 = _406461, rpoint(_406461)]], 2672 ^ _313984 : [(2673 ^ _313984) ^ [_406708] : [_405813 = _406708, rpoint(_406708)]], 2678 ^ _313984 : [(2679 ^ _313984) ^ [_406915] : [_405815 = _406915, rpoint(_406915)]]], (324 ^ _313984) ^ [_324623, _324625] : [344 ^ _313984 : [(349 ^ _313984) ^ [] : [-(rcircle(343 ^ [_324623, _324625]))], (347 ^ _313984) ^ [] : [-(rcenter(_324625, 343 ^ [_324623, _324625]))], (345 ^ _313984) ^ [] : [-(ron(_324623, 343 ^ [_324623, _324625]))]], -(_324625 = _324623), 331 ^ _313984 : [(332 ^ _313984) ^ [_324868] : [_324623 = _324868, rpoint(_324868)]], 337 ^ _313984 : [(338 ^ _313984) ^ [_325051] : [_324625 = _325051, rpoint(_325051)]]], (1256 ^ _313984) ^ [_360435, _360437] : [-(vplus(_360437, v0) = _360437), _360437 = _360435, rreal(_360435)], (322 ^ _313984) ^ [] : [-(rpoint(318 ^ []))], (3797 ^ _313984) ^ [_446238, _446240, _446242, _446244, _446246, _446248] : [3820 ^ _313984 : [(3827 ^ _313984) ^ [] : [ron(_446248, _446242), -(vf(_446244, _446248) = vf(_446244, _446240))], (3821 ^ _313984) ^ [] : [vf(_446244, _446248) = vf(_446244, _446240), -(ron(_446248, _446242))]], ron(_446240, _446242), _446240 = _446238, rpoint(_446238), rcenter(_446244, _446242), _446248 = _446246, rpoint(_446246)], (2229 ^ _313984) ^ [_392626, _392628, _392630, _392632, _392634] : [-(rS(_392634, _392632, _392628)), rS(_392634, _392630, _392628), rR(_392632, _392634, _392630), _392628 = _392626, rline(_392626), 2248 ^ _313984 : [(2249 ^ _313984) ^ [_393186] : [_392630 = _393186, rpoint(_393186)]], 2256 ^ _313984 : [(2257 ^ _313984) ^ [_393433] : [_392632 = _393433, rpoint(_393433)]], 2262 ^ _313984 : [(2263 ^ _313984) ^ [_393640] : [_392634 = _393640, rpoint(_393640)]]], (246 ^ _313984) ^ [_322165, _322167, _322169, _322171, _322173, _322175] : [-(vg(_322175, _322171, _322167) = vg(_322173, _322169, _322165)), _322175 = _322173, _322171 = _322169, _322167 = _322165], (3304 ^ _313984) ^ [_428749, _428751, _428753, _428755] : [3340 ^ _313984 : [(3343 ^ _313984) ^ [] : [-(rpoint(3339 ^ [_428749, _428751, _428753, _428755]))], (3341 ^ _313984) ^ [] : [-(rR(_428749, _428751, 3339 ^ [_428749, _428751, _428753, _428755]))]], -(_428751 = _428749), ron(_428749, _428755), ron(_428751, _428755), 3319 ^ _313984 : [(3320 ^ _313984) ^ [_429202] : [_428749 = _429202, rpoint(_429202)]], 3327 ^ _313984 : [(3328 ^ _313984) ^ [_429439] : [_428751 = _429439, rpoint(_429439)]], _428755 = _428753, rline(_428753)], (1238 ^ _313984) ^ [_359914, _359916, _359918, _359920] : [-(vplus(_359920, _359916) = vplus(_359916, _359920)), _359916 = _359914, rreal(_359914), _359920 = _359918, rreal(_359918)], (142 ^ _313984) ^ [_318639, _318641, _318643, _318645] : [-(rleq(_318643, _318639)), rleq(_318645, _318641), _318645 = _318643, _318641 = _318639], (651 ^ _313984) ^ [_335148, _335150] : [659 ^ _313984 : [(664 ^ _313984) ^ [] : [-(rpoint(658 ^ [_335148, _335150]))], (662 ^ _313984) ^ [] : [rinside(658 ^ [_335148, _335150], _335150)], (660 ^ _313984) ^ [] : [ron(658 ^ [_335148, _335150], _335150)]], _335150 = _335148, rcircle(_335148)], (993 ^ _313984) ^ [_352277, _352279, _352281, _352283, _352285, _352287] : [1060 ^ _313984 : [(1067 ^ _313984) ^ [] : [vplus(vg(_352287, _352283, _352281), vg(_352281, _352283, _352285)) = vg(_352287, _352281, _352285), -(rR(_352283, _352287, _352285))], (1061 ^ _313984) ^ [] : [rR(_352283, _352287, _352285), -(vplus(vg(_352287, _352283, _352281), vg(_352281, _352283, _352285)) = vg(_352287, _352281, _352285))]], -(ron(_352281, _352279)), _352279 = _352277, rline(_352277), -(_352283 = _352281), -(_352285 = _352281), -(_352285 = _352283), -(_352287 = _352281), -(_352287 = _352283), -(_352287 = _352285), 1032 ^ _313984 : [(1033 ^ _313984) ^ [_353416] : [_352281 = _353416, rpoint(_353416)]], 1040 ^ _313984 : [(1041 ^ _313984) ^ [_353673] : [_352283 = _353673, rpoint(_353673)]], 1048 ^ _313984 : [(1049 ^ _313984) ^ [_353930] : [_352285 = _353930, rpoint(_353930)]], 1054 ^ _313984 : [(1055 ^ _313984) ^ [_354145] : [_352287 = _354145, rpoint(_354145)]]], (4566 ^ _313984) ^ [_472007, _472009, _472011, _472013, _472015, _472017] : [-(rgeq(vg(_472017, _472013, _472009), v0)), _472009 = _472007, rpoint(_472007), _472013 = _472011, rpoint(_472011), _472017 = _472015, rpoint(_472015)], (72 ^ _313984) ^ [_316375, _316377] : [-(rline(_316375)), _316377 = _316375, rline(_316377)], (1467 ^ _313984) ^ [_367214, _367216, _367218, _367220, _367222, _367224] : [-(rintersect(_367220, _367216)), _367220 = _367218, _367216 = _367214, ron(_367222, _367216), ron(_367224, _367216), rline(_367214), -(rS(_367224, _367222, _367220)), rline(_367218), 1498 ^ _313984 : [(1499 ^ _313984) ^ [_368079] : [_367222 = _368079, rpoint(_368079)]], 1504 ^ _313984 : [(1505 ^ _313984) ^ [_368294] : [_367224 = _368294, rpoint(_368294)]]], (1291 ^ _313984) ^ [_361580, _361582, _361584, _361586] : [-(rintersect(_361582, _361580)), ron(_361584, _361580), rinside(_361586, _361580), rinside(_361584, _361582), ron(_361586, _361582), 1310 ^ _313984 : [(1311 ^ _313984) ^ [_362101] : [_361584 = _362101, rpoint(_362101)]], 1316 ^ _313984 : [(1317 ^ _313984) ^ [_362300] : [_361586 = _362300, rpoint(_362300)]]], (312 ^ _313984) ^ [] : [vd1080 = vd1081], (1266 ^ _313984) ^ [_360766, _360768, _360770, _360772] : [1282 ^ _313984 : [(1285 ^ _313984) ^ [] : [-(rreal(1281 ^ [_360766, _360768, _360770, _360772]))], (1283 ^ _313984) ^ [] : [-(vplus(_360772, _360768) = 1281 ^ [_360766, _360768, _360770, _360772])]], _360768 = _360766, rreal(_360766), _360772 = _360770, rreal(_360770)], (156 ^ _313984) ^ [_319055, _319057] : [-(rpoint(_319055)), _319057 = _319055, rpoint(_319057)], (284 ^ _313984) ^ [] : [-(ron(vd1081, vd1095))], (2997 ^ _313984) ^ [_418215, _418217, _418219, _418221] : [3017 ^ _313984 : [(3022 ^ _313984) ^ [] : [-(rpoint(3016 ^ [_418215, _418217, _418219, _418221]))], (3020 ^ _313984) ^ [] : [-(ron(3016 ^ [_418215, _418217, _418219, _418221], _418221))], (3018 ^ _313984) ^ [] : [-(ron(3016 ^ [_418215, _418217, _418219, _418221], _418217))]], rintersect(_418221, _418217), _418217 = _418215, rline(_418215), _418221 = _418219, rline(_418219)], (54 ^ _313984) ^ [_315822, _315824, _315826, _315828, _315830, _315832] : [-(rS(_315830, _315826, _315822)), rS(_315832, _315828, _315824), _315832 = _315830, _315828 = _315826, _315824 = _315822], (2739 ^ _313984) ^ [_408959, _408961, _408963, _408965] : [-(_408961 = _408959), rcenter(_408959, _408965), rcenter(_408961, _408965), _408965 = _408963, rcircle(_408963)], (1186 ^ _313984) ^ [_358442, _358444, _358446, _358448] : [rless(_358444, _358448), -(_358448 = _358444), rless(_358448, _358444), _358444 = _358442, rreal(_358442), _358448 = _358446, rreal(_358446)], (2325 ^ _313984) ^ [_395706, _395708, _395710, _395712, _395714] : [-(rS(_395712, _395710, _395708)), rS(_395714, _395710, _395708), rS(_395714, _395712, _395708), _395708 = _395706, rline(_395706), 2344 ^ _313984 : [(2345 ^ _313984) ^ [_396266] : [_395710 = _396266, rpoint(_396266)]], 2352 ^ _313984 : [(2353 ^ _313984) ^ [_396513] : [_395712 = _396513, rpoint(_396513)]], 2358 ^ _313984 : [(2359 ^ _313984) ^ [_396720] : [_395714 = _396720, rpoint(_396720)]]], (1973 ^ _313984) ^ [_384258, _384260, _384262, _384264, _384266, _384268, _384270] : [rS(_384262, _384258, _384268), rS(_384262, _384260, _384266), rS(_384260, _384258, _384270), ron(_384258, _384266), ron(_384260, _384266), ron(_384262, _384270), ron(_384264, _384266), ron(_384264, _384268), ron(_384264, _384270), 2008 ^ _313984 : [(2009 ^ _313984) ^ [_385346] : [_384258 = _385346, rpoint(_385346)]], 2016 ^ _313984 : [(2017 ^ _313984) ^ [_385613] : [_384260 = _385613, rpoint(_385613)]], 2024 ^ _313984 : [(2025 ^ _313984) ^ [_385880] : [_384262 = _385880, rpoint(_385880)]], 2032 ^ _313984 : [(2033 ^ _313984) ^ [_386147] : [_384264 = _386147, rpoint(_386147)]], 2040 ^ _313984 : [(2041 ^ _313984) ^ [_386414] : [_384266 = _386414, rline(_386414)]], 2048 ^ _313984 : [(2049 ^ _313984) ^ [_386681] : [_384268 = _386681, rline(_386681)]], 2054 ^ _313984 : [(2055 ^ _313984) ^ [_386904] : [_384270 = _386904, rline(_386904)]]], (2063 ^ _313984) ^ [_387326, _387328, _387330, _387332, _387334] : [-(rR(_387332, _387334, _387330)), ron(_387332, _387328), ron(_387332, _387326), -(rS(_387334, _387330, _387328)), ron(_387330, _387326), ron(_387334, _387326), -(_387328 = _387326), 2090 ^ _313984 : [(2091 ^ _313984) ^ [_388142] : [_387326 = _388142, rline(_388142)]], 2098 ^ _313984 : [(2099 ^ _313984) ^ [_388389] : [_387328 = _388389, rline(_388389)]], -(_387332 = _387330), -(_387334 = _387330), -(_387334 = _387332), 2118 ^ _313984 : [(2119 ^ _313984) ^ [_388912] : [_387330 = _388912, rpoint(_388912)]], 2126 ^ _313984 : [(2127 ^ _313984) ^ [_389159] : [_387332 = _389159, rpoint(_389159)]], 2132 ^ _313984 : [(2133 ^ _313984) ^ [_389366] : [_387334 = _389366, rpoint(_389366)]]], (3600 ^ _313984) ^ [_438840, _438842, _438844, _438846] : [3620 ^ _313984 : [(3625 ^ _313984) ^ [] : [-(rpoint(3619 ^ [_438840, _438842, _438844, _438846]))], (3623 ^ _313984) ^ [] : [-(ron(3619 ^ [_438840, _438842, _438844, _438846], _438846))], (3621 ^ _313984) ^ [] : [3619 ^ [_438840, _438842, _438844, _438846] = _438842]], ron(_438842, _438846), _438842 = _438840, rpoint(_438840), _438846 = _438844, rline(_438844)], (353 ^ _313984) ^ [] : [-(vf(vd1089, vd1085) = vf(vd1089, vd1080))], (166 ^ _313984) ^ [_319378, _319380, _319382, _319384] : [-(ron(_319382, _319378)), ron(_319384, _319380), _319384 = _319382, _319380 = _319378], (82 ^ _313984) ^ [_316698, _316700, _316702, _316704] : [-(rless(_316702, _316698)), rless(_316704, _316700), _316704 = _316702, _316700 = _316698], (310 ^ _313984) ^ [] : [-(rline(vskolem1092))], (2907 ^ _313984) ^ [_415008, _415010, _415012, _415014] : [2927 ^ _313984 : [(2932 ^ _313984) ^ [] : [-(rpoint(2926 ^ [_415008, _415010, _415012, _415014]))], (2930 ^ _313984) ^ [] : [-(ron(2926 ^ [_415008, _415010, _415012, _415014], _415014))], (2928 ^ _313984) ^ [] : [-(ron(2926 ^ [_415008, _415010, _415012, _415014], _415010))]], rintersect(_415014, _415010), _415010 = _415008, rcircle(_415008), _415014 = _415012, rcircle(_415012)], (1091 ^ _313984) ^ [_355423, _355425] : [1107 ^ _313984 : [(1110 ^ _313984) ^ [] : [-(rreal(1106 ^ [_355423, _355425]))], (1108 ^ _313984) ^ [] : [-(vf(_355425, _355423) = 1106 ^ [_355423, _355425])]], 1094 ^ _313984 : [(1095 ^ _313984) ^ [_355577] : [_355423 = _355577, rpoint(_355577)]], 1100 ^ _313984 : [(1101 ^ _313984) ^ [_355760] : [_355425 = _355760, rpoint(_355760)]]], (2183 ^ _313984) ^ [_391143, _391145, _391147, _391149, _391151] : [-(rS(_391149, _391147, _391145)), -(ron(_391149, _391145)), ron(_391151, _391145), rR(_391149, _391151, _391147), _391145 = _391143, rline(_391143), 2206 ^ _313984 : [(2207 ^ _313984) ^ [_391801] : [_391147 = _391801, rpoint(_391801)]], 2214 ^ _313984 : [(2215 ^ _313984) ^ [_392048] : [_391149 = _392048, rpoint(_392048)]], 2220 ^ _313984 : [(2221 ^ _313984) ^ [_392255] : [_391151 = _392255, rpoint(_392255)]]], (2 ^ _313984) ^ [_314108] : [-(_314108 = _314108)], (306 ^ _313984) ^ [] : [-(ron(vd1089, vskolem1092))], (1599 ^ _313984) ^ [_371562, _371564, _371566, _371568, _371570] : [1644 ^ _313984 : [(1647 ^ _313984) ^ [] : [ron(_371568, _371564)], (1645 ^ _313984) ^ [] : [ron(_371568, _371564)]], rR(_371566, _371570, _371568), -(rinside(_371566, _371564)), 1610 ^ _313984 : [(1613 ^ _313984) ^ [] : [rinside(_371570, _371564)], (1611 ^ _313984) ^ [] : [ron(_371570, _371564)]], _371564 = _371562, rcircle(_371562), 1624 ^ _313984 : [(1625 ^ _313984) ^ [_372308] : [_371566 = _372308, rpoint(_372308)]], 1632 ^ _313984 : [(1633 ^ _313984) ^ [_372555] : [_371568 = _372555, rpoint(_372555)]], 1638 ^ _313984 : [(1639 ^ _313984) ^ [_372762] : [_371570 = _372762, rpoint(_372762)]]], (3253 ^ _313984) ^ [_427012, _427014, _427016, _427018, _427020, _427022] : [3297 ^ _313984 : [(3302 ^ _313984) ^ [] : [-(rpoint(3296 ^ [_427012, _427014, _427016, _427018, _427020, _427022]))], (3300 ^ _313984) ^ [] : [-(rR(_427016, _427018, 3296 ^ [_427012, _427014, _427016, _427018, _427020, _427022]))], (3298 ^ _313984) ^ [] : [3296 ^ [_427012, _427014, _427016, _427018, _427020, _427022] = _427014]], _427014 = _427012, rR(_427016, _427018, _427014), rpoint(_427012), ron(_427016, _427022), ron(_427018, _427022), 3276 ^ _313984 : [(3277 ^ _313984) ^ [_427704] : [_427016 = _427704, rpoint(_427704)]], 3284 ^ _313984 : [(3285 ^ _313984) ^ [_427961] : [_427018 = _427961, rpoint(_427961)]], _427022 = _427020, rline(_427020)], (387 ^ _313984) ^ [_326607, _326609, _326611, _326613] : [-(vf(_326613, _326609) = vf(_326609, vskolem1052(_326613, _326611, _326609, _326607))), _326609 = _326607, -(_326613 = _326609), rpoint(_326607), _326613 = _326611, rpoint(_326611)], (288 ^ _313984) ^ [] : [-(rcircle(vd1095))], (20 ^ _313984) ^ [_314732, _314734] : [-(rtriangle(_314732)), _314734 = _314732, rtriangle(_314734)], (180 ^ _313984) ^ [_319822, _319824, _319826, _319828] : [-(rcenter(_319826, _319822)), rcenter(_319828, _319824), _319828 = _319826, _319824 = _319822], (513 ^ _313984) ^ [_330590, _330592, _330594, _330596] : [-(_330592 = _330590), ron(_330594, _330590), ron(_330594, _330592), ron(_330596, _330590), ron(_330596, _330592), 532 ^ _313984 : [(533 ^ _313984) ^ [_331151] : [_330590 = _331151, rline(_331151)]], 540 ^ _313984 : [(541 ^ _313984) ^ [_331388] : [_330592 = _331388, rline(_331388)]], -(_330596 = _330594), 552 ^ _313984 : [(553 ^ _313984) ^ [_331713] : [_330594 = _331713, rpoint(_331713)]], 558 ^ _313984 : [(559 ^ _313984) ^ [_331912] : [_330596 = _331912, rpoint(_331912)]]], (4170 ^ _313984) ^ [_458809, _458811, _458813, _458815, _458817, _458819] : [4217 ^ _313984 : [(4224 ^ _313984) ^ [] : [vangle(_458819, _458815, _458813) = vperp, -(vangle(_458819, _458815, _458813) = vangle(_458813, _458815, _458817))], (4218 ^ _313984) ^ [] : [vangle(_458819, _458815, _458813) = vangle(_458813, _458815, _458817), -(vangle(_458819, _458815, _458813) = vperp)]], -(ron(_458813, _458811)), rR(_458815, _458819, _458817), _458811 = _458809, rline(_458809), 4189 ^ _313984 : [(4190 ^ _313984) ^ [_459423] : [_458813 = _459423, rpoint(_459423)]], 4197 ^ _313984 : [(4198 ^ _313984) ^ [_459680] : [_458815 = _459680, rpoint(_459680)]], 4205 ^ _313984 : [(4206 ^ _313984) ^ [_459937] : [_458817 = _459937, rpoint(_459937)]], 4211 ^ _313984 : [(4212 ^ _313984) ^ [_460152] : [_458819 = _460152, rpoint(_460152)]]], (292 ^ _313984) ^ [_323736] : [-(_323736 = vskolem1092), ron(vd1089, _323736), ron(vd1080, _323736), rline(_323736)], (3185 ^ _313984) ^ [_424691, _424693, _424695, _424697, _424699, _424701] : [3217 ^ _313984 : [(3220 ^ _313984) ^ [] : [3216 ^ [_424691, _424693, _424695, _424697, _424699, _424701] = _424697], (3222 ^ _313984) ^ [] : [-(rS(3216 ^ [_424691, _424693, _424695, _424697, _424699, _424701], _424697, _424701))], (3224 ^ _313984) ^ [] : [-(rpoint(3216 ^ [_424691, _424693, _424695, _424697, _424699, _424701]))], (3218 ^ _313984) ^ [] : [3216 ^ [_424691, _424693, _424695, _424697, _424699, _424701] = _424693]], _424697 = _424695, _424693 = _424691, rS(_424693, _424697, _424701), rpoint(_424691), -(ron(_424697, _424701)), rpoint(_424695), _424701 = _424699, rline(_424699)], (1381 ^ _313984) ^ [_364419, _364421, _364423, _364425, _364427, _364429] : [-(rintersect(_364421, _364425)), ron(_364429, _364421), rinside(_364429, _364425), _364421 = _364419, rline(_364419), _364425 = _364423, rcircle(_364423), _364429 = _364427, rpoint(_364427)], (308 ^ _313984) ^ [] : [-(ron(vd1080, vskolem1092))], (4464 ^ _313984) ^ [_468434, _468436, _468438, _468440, _468442, _468444] : [-(vg(_468444, _468442, _468440) = vg(_468438, _468436, _468434)), vangle(_468440, _468444, _468442) = vangle(_468434, _468438, _468436), vangle(_468442, _468440, _468444) = vangle(_468436, _468434, _468438), vangle(_468444, _468442, _468440) = vangle(_468438, _468436, _468434), vf(_468440, _468444) = vf(_468434, _468438), vf(_468442, _468440) = vf(_468436, _468434), vf(_468444, _468442) = vf(_468438, _468436), 4491 ^ _313984 : [(4492 ^ _313984) ^ [_469353] : [_468434 = _469353, rpoint(_469353)]], 4499 ^ _313984 : [(4500 ^ _313984) ^ [_469610] : [_468436 = _469610, rpoint(_469610)]], 4507 ^ _313984 : [(4508 ^ _313984) ^ [_469867] : [_468438 = _469867, rpoint(_469867)]], 4515 ^ _313984 : [(4516 ^ _313984) ^ [_470124] : [_468440 = _470124, rpoint(_470124)]], 4523 ^ _313984 : [(4524 ^ _313984) ^ [_470381] : [_468442 = _470381, rpoint(_470381)]], 4529 ^ _313984 : [(4530 ^ _313984) ^ [_470596] : [_468444 = _470596, rpoint(_470596)]]], (2814 ^ _313984) ^ [_411602, _411604, _411606, _411608, _411610, _411612, _411614] : [2862 ^ _313984 : [(2865 ^ _313984) ^ [] : [-(ron(2861 ^ [_411602, _411604, _411606, _411608, _411610, _411612, _411614], _411612))], (2867 ^ _313984) ^ [] : [-(ron(2861 ^ [_411602, _411604, _411606, _411608, _411610, _411612, _411614], _411614))], (2869 ^ _313984) ^ [] : [-(rpoint(2861 ^ [_411602, _411604, _411606, _411608, _411610, _411612, _411614]))], (2863 ^ _313984) ^ [] : [-(rS(2861 ^ [_411602, _411604, _411606, _411608, _411610, _411612, _411614], _411602, _411610))]], -(ron(_411602, _411610)), ron(_411604, _411610), ron(_411606, _411610), rcenter(_411604, _411612), rcenter(_411606, _411614), rintersect(_411614, _411612), _411610 = _411608, rline(_411608), 2849 ^ _313984 : [(2850 ^ _313984) ^ [_412627] : [_411612 = _412627, rcircle(_412627)]], 2855 ^ _313984 : [(2856 ^ _313984) ^ [_412850] : [_411614 = _412850, rcircle(_412850)]]], (3927 ^ _313984) ^ [_450308, _450310, _450312] : [3951 ^ _313984 : [(3954 ^ _313984) ^ [] : [-(rreal(3950 ^ [_450308, _450310, _450312]))], (3952 ^ _313984) ^ [] : [-(vg(_450312, _450310, _450308) = 3950 ^ [_450308, _450310, _450312])]], 3930 ^ _313984 : [(3931 ^ _313984) ^ [_450483] : [_450308 = _450483, rpoint(_450483)]], 3938 ^ _313984 : [(3939 ^ _313984) ^ [_450710] : [_450310 = _450710, rpoint(_450710)]], 3944 ^ _313984 : [(3945 ^ _313984) ^ [_450901] : [_450312 = _450901, rpoint(_450901)]]], (1649 ^ _313984) ^ [_373234, _373236, _373238, _373240, _373242, _373244, _373246] : [-(rinside(_373242, _373236)), rR(_373242, _373246, _373244), 1656 ^ _313984 : [(1659 ^ _313984) ^ [] : [rinside(_373244, _373236)], (1657 ^ _313984) ^ [] : [ron(_373244, _373236)]], 1662 ^ _313984 : [(1665 ^ _313984) ^ [] : [rinside(_373246, _373236)], (1663 ^ _313984) ^ [] : [ron(_373246, _373236)]], _373236 = _373234, rcircle(_373234), _373240 = _373238, rline(_373238), 1684 ^ _313984 : [(1685 ^ _313984) ^ [_374310] : [_373242 = _374310, rpoint(_374310)]], 1692 ^ _313984 : [(1693 ^ _313984) ^ [_374577] : [_373244 = _374577, rpoint(_374577)]], 1698 ^ _313984 : [(1699 ^ _313984) ^ [_374800] : [_373246 = _374800, rpoint(_374800)]]], (1707 ^ _313984) ^ [_375228, _375230, _375232, _375234, _375236, _375238, _375240] : [-(rR(_375240, _375238, _375236)), -(_375238 = _375236), ron(_375236, _375230), ron(_375238, _375230), rinside(_375240, _375230), ron(_375236, _375234), ron(_375238, _375234), ron(_375240, _375234), _375230 = _375228, rcircle(_375228), _375234 = _375232, rline(_375232), 1754 ^ _313984 : [(1755 ^ _313984) ^ [_376560] : [_375236 = _376560, rpoint(_376560)]], 1762 ^ _313984 : [(1763 ^ _313984) ^ [_376827] : [_375238 = _376827, rpoint(_376827)]], 1768 ^ _313984 : [(1769 ^ _313984) ^ [_377050] : [_375240 = _377050, rpoint(_377050)]]], (2427 ^ _313984) ^ [_398996, _398998, _399000, _399002] : [-(rS(_399002, _399002, _398998)), -(ron(_399002, _398998)), _398998 = _398996, rline(_398996), _399002 = _399000, rpoint(_399000)], (2271 ^ _313984) ^ [_394007, _394009, _394011, _394013, _394015] : [-(rS(_394015, _394011, _394009)), -(rS(_394013, _394011, _394009)), -(rS(_394015, _394013, _394009)), -(ron(_394011, _394009)), -(ron(_394013, _394009)), -(ron(_394015, _394009)), _394009 = _394007, rline(_394007), 2298 ^ _313984 : [(2299 ^ _313984) ^ [_394778] : [_394011 = _394778, rpoint(_394778)]], 2306 ^ _313984 : [(2307 ^ _313984) ^ [_395025] : [_394013 = _395025, rpoint(_395025)]], 2312 ^ _313984 : [(2313 ^ _313984) ^ [_395232] : [_394015 = _395232, rpoint(_395232)]]], (624 ^ _313984) ^ [_334230, _334232] : [644 ^ _313984 : [(649 ^ _313984) ^ [] : [-(rline(643 ^ [_334230, _334232]))], (647 ^ _313984) ^ [] : [-(ron(_334232, 643 ^ [_334230, _334232]))], (645 ^ _313984) ^ [] : [-(ron(_334230, 643 ^ [_334230, _334232]))]], -(_334232 = _334230), 631 ^ _313984 : [(632 ^ _313984) ^ [_334475] : [_334230 = _334475, rpoint(_334475)]], 637 ^ _313984 : [(638 ^ _313984) ^ [_334658] : [_334232 = _334658, rpoint(_334658)]]], (4610 ^ _313984) ^ [_473387, _473389, _473391] : [4633 ^ _313984 : [(4636 ^ _313984) ^ [] : [-(rleq(v0, vangle(_473391, _473389, _473387)))], (4634 ^ _313984) ^ [] : [-(rleq(vangle(_473391, _473389, _473387), vplus(vperp, vperp)))]], 4613 ^ _313984 : [(4614 ^ _313984) ^ [_473562] : [_473387 = _473562, rpoint(_473562)]], 4621 ^ _313984 : [(4622 ^ _313984) ^ [_473789] : [_473389 = _473789, rpoint(_473789)]], 4627 ^ _313984 : [(4628 ^ _313984) ^ [_473980] : [_473391 = _473980, rpoint(_473980)]]], (355 ^ _313984) ^ [] : [-(rpoint(vd1089))], (4398 ^ _313984) ^ [_466255, _466257, _466259, _466261] : [4421 ^ _313984 : [(4428 ^ _313984) ^ [] : [rinside(_466261, _466255), -(rless(vf(_466257, _466261), vf(_466257, _466259)))], (4422 ^ _313984) ^ [] : [rless(vf(_466257, _466261), vf(_466257, _466259)), -(rinside(_466261, _466255))]], ron(_466259, _466255), rcenter(_466257, _466255), 4409 ^ _313984 : [(4410 ^ _313984) ^ [_466602] : [_466259 = _466602, rpoint(_466602)]], 4415 ^ _313984 : [(4416 ^ _313984) ^ [_466801] : [_466261 = _466801, rpoint(_466801)]]], (3754 ^ _313984) ^ [_444368, _444370, _444372, _444374] : [3761 ^ _313984 : [(3771 ^ _313984) ^ [] : [-(rpoint(3767 ^ [_444368, _444370, _444372, _444374]))], (3762 ^ _313984) ^ [] : [_444372 = _444370], (3764 ^ _313984) ^ [] : [_444374 = _444370], (3776 ^ _313984) ^ [] : [-(rpoint(3772 ^ [_444368, _444370, _444372, _444374]))], (3774 ^ _313984) ^ [] : [-(_444372 = 3772 ^ [_444368, _444370, _444372, _444374])], (3781 ^ _313984) ^ [] : [-(rpoint(3777 ^ [_444368, _444370, _444372, _444374]))], (3769 ^ _313984) ^ [] : [-(_444370 = 3767 ^ [_444368, _444370, _444372, _444374])], (3779 ^ _313984) ^ [] : [-(_444374 = 3777 ^ [_444368, _444370, _444372, _444374])], (3766 ^ _313984) ^ [] : [_444374 = _444372]], vtriangle(_444374, _444372, _444370) = _444368, rtriangle(_444368)], (4 ^ _313984) ^ [_314215, _314217] : [_314217 = _314215, -(_314215 = _314217)], (1325 ^ _313984) ^ [_362637, _362639, _362641, _362643] : [-(rintersect(_362639, _362637)), -(rinside(_362641, _362637)), -(ron(_362641, _362637)), rinside(_362643, _362637), 1340 ^ _313984 : [(1343 ^ _313984) ^ [] : [rinside(_362641, _362639)], (1341 ^ _313984) ^ [] : [ron(_362641, _362639)]], ron(_362643, _362639), 1350 ^ _313984 : [(1351 ^ _313984) ^ [_363366] : [_362637 = _363366, rcircle(_363366)]], 1358 ^ _313984 : [(1359 ^ _313984) ^ [_363603] : [_362639 = _363603, rcircle(_363603)]], 1366 ^ _313984 : [(1367 ^ _313984) ^ [_363840] : [_362641 = _363840, rpoint(_363840)]], 1372 ^ _313984 : [(1373 ^ _313984) ^ [_364039] : [_362643 = _364039, rpoint(_364039)]]], (980 ^ _313984) ^ [_351782, _351784] : [988 ^ _313984 : [(991 ^ _313984) ^ [] : [-(rpoint(987 ^ [_351782, _351784]))], (989 ^ _313984) ^ [] : [-(rinside(987 ^ [_351782, _351784], _351784))]], _351784 = _351782, rcircle(_351782)], (110 ^ _313984) ^ [_317614, _317616, _317618, _317620, _317622, _317624] : [-(rR(_317622, _317618, _317614)), rR(_317624, _317620, _317616), _317624 = _317622, _317620 = _317618, _317616 = _317614], (666 ^ _313984) ^ [_335904, _335906, _335908, _335910, _335912, _335914, _335916, _335918, _335920, _335922, _335924, _335926, _335928, _335930, _335932, _335934, _335936, _335938] : [862 ^ _313984 : [(865 ^ _313984) ^ [] : [-(vf(_335926, _335924) = vf(_335922, _335920))], (863 ^ _313984) ^ [] : [-(vangle(_335918, _335916, _335914) = vangle(_335912, _335910, _335908))]], _335906 = _335904, 676 ^ _313984 : [(699 ^ _313984) ^ [] : [-(rpoint(674 ^ [_335904, _335906, _335908, _335910, _335912, _335914, _335916, _335918, _335920, _335922, _335924, _335926, _335928, _335930, _335932, _335934, _335936, _335938]))], (689 ^ _313984) ^ [] : [-(vangle(673 ^ [_335904, _335906, _335908, _335910, _335912, _335914, _335916, _335918, _335920, _335922, _335924, _335926, _335928, _335930, _335932, _335934, _335936, _335938], 675 ^ [_335904, _335906, _335908, _335910, _335912, _335914, _335916, _335918, _335920, _335922, _335924, _335926, _335928, _335930, _335932, _335934, _335936, _335938], 674 ^ [_335904, _335906, _335908, _335910, _335912, _335914, _335916, _335918, _335920, _335922, _335924, _335926, _335928, _335930, _335932, _335934, _335936, _335938]) = vangle(_335938, _335934, _335936))], (687 ^ _313984) ^ [] : [-(vf(_335938, _335936) = vf(673 ^ [_335904, _335906, _335908, _335910, _335912, _335914, _335916, _335918, _335920, _335922, _335924, _335926, _335928, _335930, _335932, _335934, _335936, _335938], 674 ^ [_335904, _335906, _335908, _335910, _335912, _335914, _335916, _335918, _335920, _335922, _335924, _335926, _335928, _335930, _335932, _335934, _335936, _335938]))], (679 ^ _313984) ^ [] : [rR(_335932, 674 ^ [_335904, _335906, _335908, _335910, _335912, _335914, _335916, _335918, _335920, _335922, _335924, _335926, _335928, _335930, _335932, _335934, _335936, _335938], _335930)], (695 ^ _313984) ^ [] : [-(673 ^ [_335904, _335906, _335908, _335910, _335912, _335914, _335916, _335918, _335920, _335922, _335924, _335926, _335928, _335930, _335932, _335934, _335936, _335938] = _335932)], (685 ^ _313984) ^ [] : [-(vf(_335936, _335934) = vf(674 ^ [_335904, _335906, _335908, _335910, _335912, _335914, _335916, _335918, _335920, _335922, _335924, _335926, _335928, _335930, _335932, _335934, _335936, _335938], 675 ^ [_335904, _335906, _335908, _335910, _335912, _335914, _335916, _335918, _335920, _335922, _335924, _335926, _335928, _335930, _335932, _335934, _335936, _335938]))], (677 ^ _313984) ^ [] : [-(rS(675 ^ [_335904, _335906, _335908, _335910, _335912, _335914, _335916, _335918, _335920, _335922, _335924, _335926, _335928, _335930, _335932, _335934, _335936, _335938], _335928, _335906))], (691 ^ _313984) ^ [] : [-(vangle(674 ^ [_335904, _335906, _335908, _335910, _335912, _335914, _335916, _335918, _335920, _335922, _335924, _335926, _335928, _335930, _335932, _335934, _335936, _335938], 673 ^ [_335904, _335906, _335908, _335910, _335912, _335914, _335916, _335918, _335920, _335922, _335924, _335926, _335928, _335930, _335932, _335934, _335936, _335938], 675 ^ [_335904, _335906, _335908, _335910, _335912, _335914, _335916, _335918, _335920, _335922, _335924, _335926, _335928, _335930, _335932, _335934, _335936, _335938]) = vangle(_335936, _335938, _335934))], (701 ^ _313984) ^ [] : [-(rpoint(673 ^ [_335904, _335906, _335908, _335910, _335912, _335914, _335916, _335918, _335920, _335922, _335924, _335926, _335928, _335930, _335932, _335934, _335936, _335938]))], (697 ^ _313984) ^ [] : [-(rpoint(675 ^ [_335904, _335906, _335908, _335910, _335912, _335914, _335916, _335918, _335920, _335922, _335924, _335926, _335928, _335930, _335932, _335934, _335936, _335938]))], (681 ^ _313984) ^ [] : [-(ron(674 ^ [_335904, _335906, _335908, _335910, _335912, _335914, _335916, _335918, _335920, _335922, _335924, _335926, _335928, _335930, _335932, _335934, _335936, _335938], _335906))], (703 ^ _313984) ^ [] : [vangle(_335918, _335916, _335914) = vangle(_335912, _335910, _335908), vf(_335926, _335924) = vf(_335922, _335920)], (683 ^ _313984) ^ [] : [-(vf(_335938, _335934) = vf(673 ^ [_335904, _335906, _335908, _335910, _335912, _335914, _335916, _335918, _335920, _335922, _335924, _335926, _335928, _335930, _335932, _335934, _335936, _335938], 675 ^ [_335904, _335906, _335908, _335910, _335912, _335914, _335916, _335918, _335920, _335922, _335924, _335926, _335928, _335930, _335932, _335934, _335936, _335938]))], (693 ^ _313984) ^ [] : [-(vangle(675 ^ [_335904, _335906, _335908, _335910, _335912, _335914, _335916, _335918, _335920, _335922, _335924, _335926, _335928, _335930, _335932, _335934, _335936, _335938], 674 ^ [_335904, _335906, _335908, _335910, _335912, _335914, _335916, _335918, _335920, _335922, _335924, _335926, _335928, _335930, _335932, _335934, _335936, _335938], 673 ^ [_335904, _335906, _335908, _335910, _335912, _335914, _335916, _335918, _335920, _335922, _335924, _335926, _335928, _335930, _335932, _335934, _335936, _335938]) = vangle(_335934, _335936, _335938))]], -(ron(_335928, _335906)), ron(_335930, _335906), ron(_335932, _335906), rline(_335904), 726 ^ _313984 : [(727 ^ _313984) ^ [_341434] : [_335908 = _341434, rpoint(_341434)]], 734 ^ _313984 : [(735 ^ _313984) ^ [_341811] : [_335910 = _341811, rpoint(_341811)]], 742 ^ _313984 : [(743 ^ _313984) ^ [_342188] : [_335912 = _342188, rpoint(_342188)]], 750 ^ _313984 : [(751 ^ _313984) ^ [_342565] : [_335914 = _342565, rpoint(_342565)]], 758 ^ _313984 : [(759 ^ _313984) ^ [_342942] : [_335916 = _342942, rpoint(_342942)]], 766 ^ _313984 : [(767 ^ _313984) ^ [_343319] : [_335918 = _343319, rpoint(_343319)]], 774 ^ _313984 : [(775 ^ _313984) ^ [_343696] : [_335920 = _343696, rpoint(_343696)]], 782 ^ _313984 : [(783 ^ _313984) ^ [_344073] : [_335922 = _344073, rpoint(_344073)]], 790 ^ _313984 : [(791 ^ _313984) ^ [_344450] : [_335924 = _344450, rpoint(_344450)]], 798 ^ _313984 : [(799 ^ _313984) ^ [_344827] : [_335926 = _344827, rpoint(_344827)]], 806 ^ _313984 : [(807 ^ _313984) ^ [_345204] : [_335928 = _345204, rpoint(_345204)]], 814 ^ _313984 : [(815 ^ _313984) ^ [_345581] : [_335930 = _345581, rpoint(_345581)]], 822 ^ _313984 : [(823 ^ _313984) ^ [_345958] : [_335932 = _345958, rpoint(_345958)]], -(_335936 = _335934), -(_335938 = _335934), -(_335938 = _335936), 842 ^ _313984 : [(843 ^ _313984) ^ [_346767] : [_335934 = _346767, rpoint(_346767)]], 850 ^ _313984 : [(851 ^ _313984) ^ [_347144] : [_335936 = _347144, rpoint(_347144)]], 856 ^ _313984 : [(857 ^ _313984) ^ [_347455] : [_335938 = _347455, rpoint(_347455)]]], (2871 ^ _313984) ^ [_413591, _413593] : [2892 ^ _313984 : [(2897 ^ _313984) ^ [] : [-(ron(2891 ^ [_413591, _413593], _413593))], (2903 ^ _313984) ^ [] : [-(ron(2890 ^ [_413591, _413593], _413593))], (2905 ^ _313984) ^ [] : [-(rpoint(2890 ^ [_413591, _413593]))], (2899 ^ _313984) ^ [] : [-(rpoint(2891 ^ [_413591, _413593]))], (2893 ^ _313984) ^ [] : [2890 ^ [_413591, _413593] = 2891 ^ [_413591, _413593]], (2895 ^ _313984) ^ [] : [-(ron(2891 ^ [_413591, _413593], _413591))], (2901 ^ _313984) ^ [] : [-(ron(2890 ^ [_413591, _413593], _413591))]], rintersect(_413593, _413591), 2878 ^ _313984 : [(2879 ^ _313984) ^ [_413863] : [_413591 = _413863, rcircle(_413863)]], 2884 ^ _313984 : [(2885 ^ _313984) ^ [_414046] : [_413593 = _414046, rcircle(_414046)]]], (3783 ^ _313984) ^ [_445574, _445576] : [rcenter(_445576, _445574), 3788 ^ _313984 : [(3791 ^ _313984) ^ [] : [-(rcircle(3787 ^ [_445574, _445576]))], (3793 ^ _313984) ^ [] : [-(_445576 = 3786 ^ [_445574, _445576])], (3795 ^ _313984) ^ [] : [-(rpoint(3786 ^ [_445574, _445576]))], (3789 ^ _313984) ^ [] : [-(_445574 = 3787 ^ [_445574, _445576])]]], (30 ^ _313984) ^ [_315027, _315029] : [-(rreal(_315027)), _315029 = _315027, rreal(_315029)], (4230 ^ _313984) ^ [_460855, _460857, _460859, _460861, _460863, _460865] : [4313 ^ _313984 : [(4322 ^ _313984) ^ [] : [-(vangle(_460863, _460865, _460861) = vplus(vangle(_460863, _460865, _460859), vangle(_460859, _460865, _460861))), rS(_460861, _460859, _460857), rS(_460863, _460859, _460855)], (4314 ^ _313984) ^ [] : [vangle(_460863, _460865, _460861) = vplus(vangle(_460863, _460865, _460859), vangle(_460859, _460865, _460861)), 4317 ^ _313984 : [(4320 ^ _313984) ^ [] : [-(rS(_460863, _460859, _460855))], (4318 ^ _313984) ^ [] : [-(rS(_460861, _460859, _460857))]]]], -(_460857 = _460855), -(ron(_460859, _460855)), -(ron(_460859, _460857)), -(_460865 = _460861), -(_460865 = _460863), ron(_460861, _460855), ron(_460863, _460857), ron(_460865, _460855), ron(_460865, _460857), 4269 ^ _313984 : [(4270 ^ _313984) ^ [_462029] : [_460855 = _462029, rline(_462029)]], 4277 ^ _313984 : [(4278 ^ _313984) ^ [_462286] : [_460857 = _462286, rline(_462286)]], 4285 ^ _313984 : [(4286 ^ _313984) ^ [_462543] : [_460859 = _462543, rpoint(_462543)]], 4293 ^ _313984 : [(4294 ^ _313984) ^ [_462800] : [_460861 = _462800, rpoint(_462800)]], 4301 ^ _313984 : [(4302 ^ _313984) ^ [_463057] : [_460863 = _463057, rpoint(_463057)]], 4307 ^ _313984 : [(4308 ^ _313984) ^ [_463272] : [_460865 = _463272, rpoint(_463272)]]], (3559 ^ _313984) ^ [_437455, _437457, _437459, _437461, _437463, _437465] : [3591 ^ _313984 : [(3594 ^ _313984) ^ [] : [3590 ^ [_437455, _437457, _437459, _437461, _437463, _437465] = _437461], (3596 ^ _313984) ^ [] : [-(ron(3590 ^ [_437455, _437457, _437459, _437461, _437463, _437465], _437465))], (3598 ^ _313984) ^ [] : [-(rpoint(3590 ^ [_437455, _437457, _437459, _437461, _437463, _437465]))], (3592 ^ _313984) ^ [] : [3590 ^ [_437455, _437457, _437459, _437461, _437463, _437465] = _437457]], ron(_437457, _437465), ron(_437461, _437465), _437457 = _437455, rpoint(_437455), _437461 = _437459, rpoint(_437459), _437465 = _437463, rline(_437463)], (431 ^ _313984) ^ [_327883, _327885] : [-(vf(_327885, _327883) = vf(_327883, _327885)), 434 ^ _313984 : [(435 ^ _313984) ^ [_328030] : [_327883 = _328030, rpoint(_328030)]], 440 ^ _313984 : [(441 ^ _313984) ^ [_328213] : [_327885 = _328213, rpoint(_328213)]]], (2687 ^ _313984) ^ [_407285, _407287, _407289, _407291, _407293] : [-(ron(_407289, _407287)), _407287 = _407285, ron(_407291, _407287), ron(_407293, _407287), rR(_407291, _407293, _407289), rline(_407285), 2710 ^ _313984 : [(2711 ^ _313984) ^ [_407939] : [_407289 = _407939, rpoint(_407939)]], 2718 ^ _313984 : [(2719 ^ _313984) ^ [_408186] : [_407291 = _408186, rpoint(_408186)]], 2724 ^ _313984 : [(2725 ^ _313984) ^ [_408393] : [_407293 = _408393, rpoint(_408393)]]], (919 ^ _313984) ^ [_349755, _349757, _349759, _349761, _349763, _349765, _349767, _349769] : [971 ^ _313984 : [(974 ^ _313984) ^ [] : [-(ron(970 ^ [_349755, _349757, _349759, _349761, _349763, _349765, _349767, _349769], _349769))], (976 ^ _313984) ^ [] : [-(ron(970 ^ [_349755, _349757, _349759, _349761, _349763, _349765, _349767, _349769], _349765))], (978 ^ _313984) ^ [] : [-(rpoint(970 ^ [_349755, _349757, _349759, _349761, _349763, _349765, _349767, _349769]))], (972 ^ _313984) ^ [] : [-(rR(970 ^ [_349755, _349757, _349759, _349761, _349763, _349765, _349767, _349769], _349761, _349757))]], ron(_349757, _349765), -(ron(_349757, _349769)), -(rinside(_349757, _349769)), _349757 = _349755, rpoint(_349755), ron(_349761, _349765), rinside(_349761, _349769), _349761 = _349759, rpoint(_349759), _349765 = _349763, rline(_349763), _349769 = _349767, rcircle(_349767)], (2557 ^ _313984) ^ [_403023, _403025, _403027, _403029] : [-(rR(_403027, _403029, _403023)), rR(_403025, _403027, _403023), rR(_403027, _403029, _403025), 2568 ^ _313984 : [(2569 ^ _313984) ^ [_403395] : [_403023 = _403395, rpoint(_403395)]], 2576 ^ _313984 : [(2577 ^ _313984) ^ [_403632] : [_403025 = _403632, rpoint(_403632)]], 2584 ^ _313984 : [(2585 ^ _313984) ^ [_403869] : [_403027 = _403869, rpoint(_403869)]], 2590 ^ _313984 : [(2591 ^ _313984) ^ [_404068] : [_403029 = _404068, rpoint(_404068)]]], (1073 ^ _313984) ^ [_354820, _354822] : [-(rleq(v0, vf(_354822, _354820))), 1076 ^ _313984 : [(1077 ^ _313984) ^ [_354964] : [_354820 = _354964, rpoint(_354964)]], 1082 ^ _313984 : [(1083 ^ _313984) ^ [_355147] : [_354822 = _355147, rpoint(_355147)]]], (867 ^ _313984) ^ [_348166, _348168, _348170, _348172, _348174, _348176] : [-(_348176 = _348172), vplus(_348176, _348168) = vplus(_348172, _348168), _348168 = _348166, rreal(_348166), _348172 = _348170, rreal(_348170), _348176 = _348174, rreal(_348174)], (270 ^ _313984) ^ [_323020, _323022, _323024, _323026, _323028, _323030] : [-(vangle(_323030, _323026, _323022) = vangle(_323028, _323024, _323020)), _323030 = _323028, _323026 = _323024, _323022 = _323020], (3716 ^ _313984) ^ [_443013, _443015] : [3732 ^ _313984 : [(3737 ^ _313984) ^ [] : [-(rpoint(3731 ^ [_443013, _443015]))], (3735 ^ _313984) ^ [] : [3731 ^ [_443013, _443015] = _443015], (3733 ^ _313984) ^ [] : [3731 ^ [_443013, _443015] = _443013]], 3719 ^ _313984 : [(3720 ^ _313984) ^ [_443174] : [_443013 = _443174, rpoint(_443174)]], 3725 ^ _313984 : [(3726 ^ _313984) ^ [_443357] : [_443015 = _443357, rpoint(_443357)]]], (290 ^ _313984) ^ [] : [-(vd1091 = vskolem1092)], (3506 ^ _313984) ^ [_435589, _435591, _435593, _435595, _435597] : [3550 ^ _313984 : [(3553 ^ _313984) ^ [] : [3549 ^ [_435589, _435591, _435593, _435595, _435597] = _435593], (3555 ^ _313984) ^ [] : [-(ron(3549 ^ [_435589, _435591, _435593, _435595, _435597], _435597))], (3557 ^ _313984) ^ [] : [-(rpoint(3549 ^ [_435589, _435591, _435593, _435595, _435597]))], (3551 ^ _313984) ^ [] : [3549 ^ [_435589, _435591, _435593, _435595, _435597] = _435591]], ron(_435589, _435597), ron(_435591, _435597), ron(_435593, _435597), 3521 ^ _313984 : [(3522 ^ _313984) ^ [_436086] : [_435589 = _436086, rpoint(_436086)]], 3529 ^ _313984 : [(3530 ^ _313984) ^ [_436333] : [_435591 = _436333, rpoint(_436333)]], 3537 ^ _313984 : [(3538 ^ _313984) ^ [_436580] : [_435593 = _436580, rpoint(_436580)]], _435597 = _435595, rline(_435595)], (1212 ^ _313984) ^ [_359177, _359179, _359181, _359183] : [-(rless(_359183, _359179)), -(_359183 = _359179), -(rless(_359179, _359183)), _359179 = _359177, rreal(_359177), _359183 = _359181, rreal(_359181)], (897 ^ _313984) ^ [_349064, _349066, _349068, _349070] : [ron(_349070, _349066), rinside(_349070, _349066), _349066 = _349064, rcircle(_349064), _349070 = _349068, rpoint(_349068)], (4638 ^ _313984) ^ [_474341, _474343, _474345] : [-(vangle(_474345, _474343, _474341) = vangle(_474341, _474343, _474345)), -(_474345 = _474341), -(_474345 = _474343), 4649 ^ _313984 : [(4650 ^ _313984) ^ [_474694] : [_474341 = _474694, rpoint(_474694)]], 4657 ^ _313984 : [(4658 ^ _313984) ^ [_474921] : [_474343 = _474921, rpoint(_474921)]], 4663 ^ _313984 : [(4664 ^ _313984) ^ [_475112] : [_474345 = _475112, rpoint(_475112)]]], (3092 ^ _313984) ^ [_421385, _421387] : [3100 ^ _313984 : [(3103 ^ _313984) ^ [] : [-(rpoint(3099 ^ [_421385, _421387]))], (3101 ^ _313984) ^ [] : [-(ron(3099 ^ [_421385, _421387], _421387))]], _421387 = _421385, rcircle(_421385)], (204 ^ _313984) ^ [_320629, _320631, _320633, _320635, _320637, _320639, _320641, _320643] : [-(vskolem1052(_320643, _320639, _320635, _320631) = vskolem1052(_320641, _320637, _320633, _320629)), _320643 = _320641, _320639 = _320637, _320635 = _320633, _320631 = _320629], (3414 ^ _313984) ^ [_432514, _432516, _432518, _432520, _432522] : [3458 ^ _313984 : [(3463 ^ _313984) ^ [] : [-(rpoint(3457 ^ [_432514, _432516, _432518, _432520, _432522]))], (3461 ^ _313984) ^ [] : [-(rR(3457 ^ [_432514, _432516, _432518, _432520, _432522], _432518, _432516))], (3459 ^ _313984) ^ [] : [3457 ^ [_432514, _432516, _432518, _432520, _432522] = _432514]], rR(_432514, _432518, _432516), ron(_432516, _432522), ron(_432518, _432522), 3429 ^ _313984 : [(3430 ^ _313984) ^ [_433006] : [_432514 = _433006, rpoint(_433006)]], 3437 ^ _313984 : [(3438 ^ _313984) ^ [_433253] : [_432516 = _433253, rpoint(_433253)]], 3445 ^ _313984 : [(3446 ^ _313984) ^ [_433500] : [_432518 = _433500, rpoint(_433500)]], _432522 = _432520, rline(_432520)], (3465 ^ _313984) ^ [_434255, _434257, _434259, _434261] : [3501 ^ _313984 : [(3504 ^ _313984) ^ [] : [-(rpoint(3500 ^ [_434255, _434257, _434259, _434261]))], (3502 ^ _313984) ^ [] : [-(rR(3500 ^ [_434255, _434257, _434259, _434261], _434257, _434255))]], -(_434257 = _434255), ron(_434255, _434261), ron(_434257, _434261), 3480 ^ _313984 : [(3481 ^ _313984) ^ [_434708] : [_434255 = _434708, rpoint(_434708)]], 3488 ^ _313984 : [(3489 ^ _313984) ^ [_434945] : [_434257 = _434945, rpoint(_434945)]], _434261 = _434259, rline(_434259)], (1176 ^ _313984) ^ [_358116, _358118] : [rless(_358118, _358118), _358118 = _358116, rreal(_358116)], (2599 ^ _313984) ^ [_404408, _404410, _404412, _404414] : [-(rR(_404408, _404414, _404410)), rR(_404408, _404414, _404412), rR(_404412, _404414, _404410), 2610 ^ _313984 : [(2611 ^ _313984) ^ [_404780] : [_404408 = _404780, rpoint(_404780)]], 2618 ^ _313984 : [(2619 ^ _313984) ^ [_405017] : [_404410 = _405017, rpoint(_405017)]], 2626 ^ _313984 : [(2627 ^ _313984) ^ [_405254] : [_404412 = _405254, rpoint(_405254)]], 2632 ^ _313984 : [(2633 ^ _313984) ^ [_405453] : [_404414 = _405453, rpoint(_405453)]]], (286 ^ _313984) ^ [] : [-(rcenter(vd1080, vd1095))]], input).
% 43.69/42.77  ncf('1',plain,[-(rcenter(vd1080, 4671 ^ []))],start(4675 ^ 0)).
% 43.69/42.77  ncf('1.1',plain,[rcenter(vd1080, 4671 ^ []), -(vd1095 = 4671 ^ []), vf(vd1080, vd1081) = vf(vd1080, vd1081), ron(vd1081, 4671 ^ []), ron(vd1081, vd1095), rcenter(vd1080, vd1095), 3913 : vd1081 = 313 ^ [], 3913 : rpoint(313 ^ []), 3919 : vd1081 = 313 ^ [], 3919 : rpoint(313 ^ [])],extension(3889 ^ 1,bind([[_449114, _449116, _449118, _449120, _449122, _449764, _449971], [4671 ^ [], vd1095, vd1080, vd1081, vd1081, 313 ^ [], 313 ^ []]]))).
% 43.69/42.77  ncf('1.1.1',plain,[vd1095 = 4671 ^ [], -(4671 ^ [] = vd1095)],extension(4 ^ 2,bind([[_314215, _314217], [4671 ^ [], vd1095]]))).
% 43.69/42.77  ncf('1.1.1.1',plain,[4671 ^ [] = vd1095],extension(4679 ^ 3)).
% 43.69/42.77  ncf('1.1.2',plain,[-(vf(vd1080, vd1081) = vf(vd1080, vd1081)), 3827 : ron(vd1081, 4671 ^ []), 3827 : ron(vd1081, 4671 ^ []), 3827 : vd1081 = 313 ^ [], 3827 : rpoint(313 ^ []), 3827 : rcenter(vd1080, 4671 ^ []), 3827 : vd1081 = 313 ^ [], 3827 : rpoint(313 ^ [])],extension(3797 ^ 2,bind([[_446238, _446240, _446242, _446244, _446246, _446248], [313 ^ [], vd1081, 4671 ^ [], vd1080, 313 ^ [], vd1081]]))).
% 43.69/42.77  ncf('1.1.2.1',plain,[-(ron(vd1081, 4671 ^ []))],extension(4673 ^ 5)).
% 43.69/42.77  ncf('1.1.2.2',plain,[-(ron(vd1081, 4671 ^ []))],extension(4673 ^ 3)).
% 43.69/42.77  ncf('1.1.2.3',plain,[-(vd1081 = 313 ^ [])],extension(315 ^ 3)).
% 43.69/42.77  ncf('1.1.2.4',plain,[-(rpoint(313 ^ []))],extension(317 ^ 3)).
% 43.69/42.77  ncf('1.1.2.5',plain,[-(rcenter(vd1080, 4671 ^ []))],reduction('1')).
% 43.69/42.77  ncf('1.1.2.6',plain,[-(vd1081 = 313 ^ [])],extension(315 ^ 3)).
% 43.69/42.77  ncf('1.1.2.7',plain,[-(rpoint(313 ^ []))],lemmata('[1, 1].x')).
% 43.69/42.77  ncf('1.1.3',plain,[-(ron(vd1081, 4671 ^ []))],extension(4673 ^ 2)).
% 43.69/42.77  ncf('1.1.4',plain,[-(ron(vd1081, vd1095))],extension(284 ^ 2)).
% 43.69/42.77  ncf('1.1.5',plain,[-(rcenter(vd1080, vd1095))],extension(286 ^ 2)).
% 43.69/42.77  ncf('1.1.6',plain,[-(vd1081 = 313 ^ [])],extension(315 ^ 4)).
% 43.69/42.77  ncf('1.1.7',plain,[-(rpoint(313 ^ []))],extension(317 ^ 4)).
% 43.69/42.77  ncf('1.1.8',plain,[-(vd1081 = 313 ^ [])],extension(315 ^ 4)).
% 43.69/42.77  ncf('1.1.9',plain,[-(rpoint(313 ^ []))],extension(317 ^ 4)).
% 43.69/42.77  %-----------------------------------------------------
% 43.69/42.77  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------