%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO344+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n005.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 11:12:29 EDT 2023

% Result   : Theorem 48.25s 46.96s
% Output   : Proof 48.25s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO344+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri May 19 04:32:53 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 48.25/46.96  
% 48.25/46.96  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 48.25/46.96  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 48.25/46.96  %-----------------------------------------------------
% 48.25/46.96  ncf(matrix, plain, [(5385 ^ _119731) ^ [] : [-(ron(vd1401, 5381 ^ []))], (5387 ^ _119731) ^ [] : [-(rline(5381 ^ []))], (5389 ^ _119731) ^ [] : [5381 ^ [] = vd1419], (5383 ^ _119731) ^ [] : [-(ron(vd1409, 5381 ^ []))], !, (3121 ^ _31135) ^ [_82247, _82249, _82251, _82253, _82255, _82257] : [-(rintersect(_82249, _82253)), ron(_82257, _82249), rinside(_82257, _82253), _82249 = _82247, rline(_82247), _82253 = _82251, rcircle(_82251), _82257 = _82255, rpoint(_82255)], (3074 ^ _31135) ^ [_81670, _81672, _81674, _81676] : [-(rless(_81676, _81672)), -(_81676 = _81672), -(rless(_81672, _81676)), _81672 = _81670, rreal(_81670), _81676 = _81674, rreal(_81674)], (274 ^ _31135) ^ [_35240, _35242, _35244, _35246, _35248, _35250] : [-(vtriangle(_35250, _35246, _35242) = vtriangle(_35248, _35244, _35240)), _35250 = _35248, _35246 = _35244, _35242 = _35240], (4765 ^ _31135) ^ [_108704, _108706, _108708, _108710, _108712, _108714] : [4797 ^ _31135 : [(4800 ^ _31135) ^ [] : [4796 ^ [_108704, _108706, _108708, _108710, _108712, _108714] = _108710], (4802 ^ _31135) ^ [] : [-(ron(4796 ^ [_108704, _108706, _108708, _108710, _108712, _108714], _108714))], (4804 ^ _31135) ^ [] : [-(rpoint(4796 ^ [_108704, _108706, _108708, _108710, _108712, _108714]))], (4798 ^ _31135) ^ [] : [4796 ^ [_108704, _108706, _108708, _108710, _108712, _108714] = _108706]], ron(_108706, _108714), ron(_108710, _108714), _108706 = _108704, rpoint(_108704), _108710 = _108708, rpoint(_108708), _108714 = _108712, rline(_108712)], (430 ^ _31135) ^ [] : [-(vangle(vd1399, vd1401, vd1409) = vangle(vd1399, vd1409, vd1401))], (1632 ^ _31135) ^ [_56743, _56745] : [-(vf(_56745, _56743) = vf(_56743, _56745)), 1635 ^ _31135 : [(1636 ^ _31135) ^ [_56825] : [_56743 = _56825, rpoint(_56825)]], 1641 ^ _31135 : [(1642 ^ _31135) ^ [_56902] : [_56745 = _56902, rpoint(_56902)]]], (4391 ^ _31135) ^ [_102589, _102591, _102593, _102595, _102597, _102599] : [4423 ^ _31135 : [(4426 ^ _31135) ^ [] : [4422 ^ [_102589, _102591, _102593, _102595, _102597, _102599] = _102595], (4428 ^ _31135) ^ [] : [-(rS(4422 ^ [_102589, _102591, _102593, _102595, _102597, _102599], _102595, _102599))], (4430 ^ _31135) ^ [] : [-(rpoint(4422 ^ [_102589, _102591, _102593, _102595, _102597, _102599]))], (4424 ^ _31135) ^ [] : [4422 ^ [_102589, _102591, _102593, _102595, _102597, _102599] = _102591]], _102595 = _102593, _102591 = _102589, rS(_102591, _102595, _102599), rpoint(_102589), -(ron(_102595, _102599)), rpoint(_102593), _102599 = _102597, rline(_102597)], (2361 ^ _31135) ^ [_70722, _70724] : [2381 ^ _31135 : [(2386 ^ _31135) ^ [] : [-(rcircle(2380 ^ [_70722, _70724]))], (2384 ^ _31135) ^ [] : [-(rcenter(_70724, 2380 ^ [_70722, _70724]))], (2382 ^ _31135) ^ [] : [-(ron(_70722, 2380 ^ [_70722, _70724]))]], -(_70724 = _70722), 2368 ^ _31135 : [(2369 ^ _31135) ^ [_70867] : [_70722 = _70867, rpoint(_70867)]], 2374 ^ _31135 : [(2375 ^ _31135) ^ [_70944] : [_70724 = _70944, rpoint(_70944)]]], (2157 ^ _31135) ^ [_67656, _67658, _67660, _67662] : [rless(_67658, _67662), -(_67662 = _67658), rless(_67662, _67658), _67658 = _67656, rreal(_67656), _67662 = _67660, rreal(_67660)], (4065 ^ _31135) ^ [_97369, _97371, _97373, _97375] : [-(rS(_97375, _97375, _97371)), -(ron(_97375, _97371)), _97371 = _97369, rline(_97369), _97375 = _97373, rpoint(_97373)], (2752 ^ _31135) ^ [_76889, _76891, _76893, _76895, _76897, _76899] : [-(_76899 = _76895), vplus(_76899, _76891) = vplus(_76895, _76891), _76891 = _76889, rreal(_76889), _76895 = _76893, rreal(_76893), _76899 = _76897, rreal(_76897)], (1650 ^ _31135) ^ [_57016, _57018] : [1653 ^ _31135 : [(1654 ^ _31135) ^ [_57101] : [_57016 = _57101, rpoint(_57101)]], 1659 ^ _31135 : [(1660 ^ _31135) ^ [_57178] : [_57018 = _57178, rpoint(_57178)]], 1665 ^ _31135 : [(1672 ^ _31135) ^ [] : [_57018 = _57016, -(vf(_57018, _57016) = v0)], (1666 ^ _31135) ^ [] : [vf(_57018, _57016) = v0, -(_57018 = _57016)]]], (2401 ^ _31135) ^ [_71282, _71284, _71286, _71288, _71290, _71292, _71294] : [-(vangle(_71292, _71294, _71290) = vangle(_71288, _71294, _71286)), -(rR(_71294, _71290, _71286)), -(rR(_71294, _71292, _71288)), -(_71286 = _71294), -(_71288 = _71294), -(_71290 = _71294), -(_71292 = _71294), ron(_71286, _71282), ron(_71290, _71282), ron(_71288, _71284), ron(_71292, _71284), ron(_71294, _71284), 2448 ^ _31135 : [(2449 ^ _31135) ^ [_72148] : [_71282 = _72148, rline(_72148)]], 2456 ^ _31135 : [(2457 ^ _31135) ^ [_72266] : [_71284 = _72266, rline(_72266)]], 2464 ^ _31135 : [(2465 ^ _31135) ^ [_72384] : [_71286 = _72384, rpoint(_72384)]], 2472 ^ _31135 : [(2473 ^ _31135) ^ [_72502] : [_71288 = _72502, rpoint(_72502)]], 2480 ^ _31135 : [(2481 ^ _31135) ^ [_72620] : [_71290 = _72620, rpoint(_72620)]], 2488 ^ _31135 : [(2489 ^ _31135) ^ [_72738] : [_71292 = _72738, rpoint(_72738)]], 2494 ^ _31135 : [(2495 ^ _31135) ^ [_72825] : [_71294 = _72825, rpoint(_72825)]]], (1709 ^ _31135) ^ [_57856, _57858, _57860, _57862] : [-(rS(_57860, _57862, _57858)), rS(_57862, _57860, _57858), _57858 = _57856, rline(_57856), 1724 ^ _31135 : [(1725 ^ _31135) ^ [_58103] : [_57860 = _58103, rpoint(_58103)]], 1730 ^ _31135 : [(1731 ^ _31135) ^ [_58184] : [_57862 = _58184, rpoint(_58184)]]], (362 ^ _31135) ^ [] : [-(rline(vskolem1416))], (2303 ^ _31135) ^ [_69817, _69819, _69821, _69823] : [ron(_69823, _69819), rinside(_69823, _69819), _69819 = _69817, rcircle(_69817), _69823 = _69821, rpoint(_69821)], (1920 ^ _31135) ^ [_61161, _61163, _61165, _61167, _61169, _61171, _61173, _61175, _61177, _61179, _61181, _61183, _61185, _61187, _61189, _61191, _61193, _61195] : [2116 ^ _31135 : [(2119 ^ _31135) ^ [] : [-(vf(_61183, _61181) = vf(_61179, _61177))], (2117 ^ _31135) ^ [] : [-(vangle(_61175, _61173, _61171) = vangle(_61169, _61167, _61165))]], _61163 = _61161, 1930 ^ _31135 : [(1953 ^ _31135) ^ [] : [-(rpoint(1928 ^ [_61161, _61163, _61165, _61167, _61169, _61171, _61173, _61175, _61177, _61179, _61181, _61183, _61185, _61187, _61189, _61191, _61193, _61195]))], (1943 ^ _31135) ^ [] : [-(vangle(1927 ^ [_61161, _61163, _61165, _61167, _61169, _61171, _61173, _61175, _61177, _61179, _61181, _61183, _61185, _61187, _61189, _61191, _61193, _61195], 1929 ^ [_61161, _61163, _61165, _61167, _61169, _61171, _61173, _61175, _61177, _61179, _61181, _61183, _61185, _61187, _61189, _61191, _61193, _61195], 1928 ^ [_61161, _61163, _61165, _61167, _61169, _61171, _61173, _61175, _61177, _61179, _61181, _61183, _61185, _61187, _61189, _61191, _61193, _61195]) = vangle(_61195, _61191, _61193))], (1941 ^ _31135) ^ [] : [-(vf(_61195, _61193) = vf(1927 ^ [_61161, _61163, _61165, _61167, _61169, _61171, _61173, _61175, _61177, _61179, _61181, _61183, _61185, _61187, _61189, _61191, _61193, _61195], 1928 ^ [_61161, _61163, _61165, _61167, _61169, _61171, _61173, _61175, _61177, _61179, _61181, _61183, _61185, _61187, _61189, _61191, _61193, _61195]))], (1933 ^ _31135) ^ [] : [rR(_61189, 1928 ^ [_61161, _61163, _61165, _61167, _61169, _61171, _61173, _61175, _61177, _61179, _61181, _61183, _61185, _61187, _61189, _61191, _61193, _61195], _61187)], (1949 ^ _31135) ^ [] : [-(1927 ^ [_61161, _61163, _61165, _61167, _61169, _61171, _61173, _61175, _61177, _61179, _61181, _61183, _61185, _61187, _61189, _61191, _61193, _61195] = _61189)], (1939 ^ _31135) ^ [] : [-(vf(_61193, _61191) = vf(1928 ^ [_61161, _61163, _61165, _61167, _61169, _61171, _61173, _61175, _61177, _61179, _61181, _61183, _61185, _61187, _61189, _61191, _61193, _61195], 1929 ^ [_61161, _61163, _61165, _61167, _61169, _61171, _61173, _61175, _61177, _61179, _61181, _61183, _61185, _61187, _61189, _61191, _61193, _61195]))], (1931 ^ _31135) ^ [] : [-(rS(1929 ^ [_61161, _61163, _61165, _61167, _61169, _61171, _61173, _61175, _61177, _61179, _61181, _61183, _61185, _61187, _61189, _61191, _61193, _61195], _61185, _61163))], (1945 ^ _31135) ^ [] : [-(vangle(1928 ^ [_61161, _61163, _61165, _61167, _61169, _61171, _61173, _61175, _61177, _61179, _61181, _61183, _61185, _61187, _61189, _61191, _61193, _61195], 1927 ^ [_61161, _61163, _61165, _61167, _61169, _61171, _61173, _61175, _61177, _61179, _61181, _61183, _61185, _61187, _61189, _61191, _61193, _61195], 1929 ^ [_61161, _61163, _61165, _61167, _61169, _61171, _61173, _61175, _61177, _61179, _61181, _61183, _61185, _61187, _61189, _61191, _61193, _61195]) = vangle(_61193, _61195, _61191))], (1955 ^ _31135) ^ [] : [-(rpoint(1927 ^ [_61161, _61163, _61165, _61167, _61169, _61171, _61173, _61175, _61177, _61179, _61181, _61183, _61185, _61187, _61189, _61191, _61193, _61195]))], (1951 ^ _31135) ^ [] : [-(rpoint(1929 ^ [_61161, _61163, _61165, _61167, _61169, _61171, _61173, _61175, _61177, _61179, _61181, _61183, _61185, _61187, _61189, _61191, _61193, _61195]))], (1935 ^ _31135) ^ [] : [-(ron(1928 ^ [_61161, _61163, _61165, _61167, _61169, _61171, _61173, _61175, _61177, _61179, _61181, _61183, _61185, _61187, _61189, _61191, _61193, _61195], _61163))], (1957 ^ _31135) ^ [] : [vangle(_61175, _61173, _61171) = vangle(_61169, _61167, _61165), vf(_61183, _61181) = vf(_61179, _61177)], (1937 ^ _31135) ^ [] : [-(vf(_61195, _61191) = vf(1927 ^ [_61161, _61163, _61165, _61167, _61169, _61171, _61173, _61175, _61177, _61179, _61181, _61183, _61185, _61187, _61189, _61191, _61193, _61195], 1929 ^ [_61161, _61163, _61165, _61167, _61169, _61171, _61173, _61175, _61177, _61179, _61181, _61183, _61185, _61187, _61189, _61191, _61193, _61195]))], (1947 ^ _31135) ^ [] : [-(vangle(1929 ^ [_61161, _61163, _61165, _61167, _61169, _61171, _61173, _61175, _61177, _61179, _61181, _61183, _61185, _61187, _61189, _61191, _61193, _61195], 1928 ^ [_61161, _61163, _61165, _61167, _61169, _61171, _61173, _61175, _61177, _61179, _61181, _61183, _61185, _61187, _61189, _61191, _61193, _61195], 1927 ^ [_61161, _61163, _61165, _61167, _61169, _61171, _61173, _61175, _61177, _61179, _61181, _61183, _61185, _61187, _61189, _61191, _61193, _61195]) = vangle(_61191, _61193, _61195))]], -(ron(_61185, _61163)), ron(_61187, _61163), ron(_61189, _61163), rline(_61161), 1980 ^ _31135 : [(1981 ^ _31135) ^ [_64253] : [_61165 = _64253, rpoint(_64253)]], 1988 ^ _31135 : [(1989 ^ _31135) ^ [_64415] : [_61167 = _64415, rpoint(_64415)]], 1996 ^ _31135 : [(1997 ^ _31135) ^ [_64577] : [_61169 = _64577, rpoint(_64577)]], 2004 ^ _31135 : [(2005 ^ _31135) ^ [_64739] : [_61171 = _64739, rpoint(_64739)]], 2012 ^ _31135 : [(2013 ^ _31135) ^ [_64901] : [_61173 = _64901, rpoint(_64901)]], 2020 ^ _31135 : [(2021 ^ _31135) ^ [_65063] : [_61175 = _65063, rpoint(_65063)]], 2028 ^ _31135 : [(2029 ^ _31135) ^ [_65225] : [_61177 = _65225, rpoint(_65225)]], 2036 ^ _31135 : [(2037 ^ _31135) ^ [_65387] : [_61179 = _65387, rpoint(_65387)]], 2044 ^ _31135 : [(2045 ^ _31135) ^ [_65549] : [_61181 = _65549, rpoint(_65549)]], 2052 ^ _31135 : [(2053 ^ _31135) ^ [_65711] : [_61183 = _65711, rpoint(_65711)]], 2060 ^ _31135 : [(2061 ^ _31135) ^ [_65873] : [_61185 = _65873, rpoint(_65873)]], 2068 ^ _31135 : [(2069 ^ _31135) ^ [_66035] : [_61187 = _66035, rpoint(_66035)]], 2076 ^ _31135 : [(2077 ^ _31135) ^ [_66197] : [_61189 = _66197, rpoint(_66197)]], -(_61193 = _61191), -(_61195 = _61191), -(_61195 = _61193), 2096 ^ _31135 : [(2097 ^ _31135) ^ [_66590] : [_61191 = _66590, rpoint(_66590)]], 2104 ^ _31135 : [(2105 ^ _31135) ^ [_66752] : [_61193 = _66752, rpoint(_66752)]], 2110 ^ _31135 : [(2111 ^ _31135) ^ [_66861] : [_61195 = _66861, rpoint(_66861)]]], (2611 ^ _31135) ^ [_74565, _74567, _74569, _74571, _74573, _74575, _74577, _74579] : [2663 ^ _31135 : [(2666 ^ _31135) ^ [] : [-(ron(2662 ^ [_74565, _74567, _74569, _74571, _74573, _74575, _74577, _74579], _74579))], (2668 ^ _31135) ^ [] : [-(ron(2662 ^ [_74565, _74567, _74569, _74571, _74573, _74575, _74577, _74579], _74575))], (2670 ^ _31135) ^ [] : [-(rpoint(2662 ^ [_74565, _74567, _74569, _74571, _74573, _74575, _74577, _74579]))], (2664 ^ _31135) ^ [] : [-(rR(2662 ^ [_74565, _74567, _74569, _74571, _74573, _74575, _74577, _74579], _74571, _74567))]], ron(_74567, _74575), -(ron(_74567, _74579)), -(rinside(_74567, _74579)), _74567 = _74565, rpoint(_74565), ron(_74571, _74575), rinside(_74571, _74579), _74571 = _74569, rpoint(_74569), _74575 = _74573, rline(_74573), _74579 = _74577, rcircle(_74577)], (4958 ^ _31135) ^ [] : [-(rpoint(vd14))], (1699 ^ _31135) ^ [_57728, _57730] : [rless(_57730, _57730), _57730 = _57728, rreal(_57728)], (1432 ^ _31135) ^ [_53557, _53559, _53561, _53563, _53565, _53567, _53569] : [1480 ^ _31135 : [(1483 ^ _31135) ^ [] : [-(ron(1479 ^ [_53557, _53559, _53561, _53563, _53565, _53567, _53569], _53567))], (1485 ^ _31135) ^ [] : [-(ron(1479 ^ [_53557, _53559, _53561, _53563, _53565, _53567, _53569], _53569))], (1487 ^ _31135) ^ [] : [-(rpoint(1479 ^ [_53557, _53559, _53561, _53563, _53565, _53567, _53569]))], (1481 ^ _31135) ^ [] : [rS(1479 ^ [_53557, _53559, _53561, _53563, _53565, _53567, _53569], _53557, _53565)]], -(ron(_53557, _53565)), ron(_53559, _53565), ron(_53561, _53565), rcenter(_53559, _53567), rcenter(_53561, _53569), rintersect(_53569, _53567), _53565 = _53563, rline(_53563), 1467 ^ _31135 : [(1468 ^ _31135) ^ [_54159] : [_53567 = _54159, rcircle(_54159)]], 1473 ^ _31135 : [(1474 ^ _31135) ^ [_54246] : [_53569 = _54246, rcircle(_54246)]]], (862 ^ _31135) ^ [_44272, _44274, _44276, _44278, _44280, _44282] : [-(vangle(_44282, _44280, _44278) = vangle(_44276, _44274, _44272)), 866 ^ _31135 : [(869 ^ _31135) ^ [] : [-(ron(_44274, 865 ^ [_44272, _44274, _44276, _44278, _44280, _44282]))], (871 ^ _31135) ^ [] : [-(ron(_44276, 865 ^ [_44272, _44274, _44276, _44278, _44280, _44282]))], (873 ^ _31135) ^ [] : [-(rline(865 ^ [_44272, _44274, _44276, _44278, _44280, _44282]))], (867 ^ _31135) ^ [] : [-(ron(_44272, 865 ^ [_44272, _44274, _44276, _44278, _44280, _44282]))]], vangle(_44280, _44282, _44278) = vangle(_44274, _44276, _44272), vf(_44282, _44278) = vf(_44276, _44272), vf(_44282, _44280) = vf(_44276, _44274), 888 ^ _31135 : [(889 ^ _31135) ^ [_44870] : [_44272 = _44870, rpoint(_44870)]], 896 ^ _31135 : [(897 ^ _31135) ^ [_44984] : [_44274 = _44984, rpoint(_44984)]], 904 ^ _31135 : [(905 ^ _31135) ^ [_45098] : [_44276 = _45098, rpoint(_45098)]], -(_44280 = _44278), -(_44282 = _44278), -(_44282 = _44280), 924 ^ _31135 : [(925 ^ _31135) ^ [_45371] : [_44278 = _45371, rpoint(_45371)]], 932 ^ _31135 : [(933 ^ _31135) ^ [_45485] : [_44280 = _45485, rpoint(_45485)]], 938 ^ _31135 : [(939 ^ _31135) ^ [_45570] : [_44282 = _45570, rpoint(_45570)]]], (4989 ^ _31135) ^ [_112384, _112386, _112388, _112390, _112392, _112394] : [5036 ^ _31135 : [(5043 ^ _31135) ^ [] : [vangle(_112394, _112390, _112388) = vperp, -(vangle(_112394, _112390, _112388) = vangle(_112388, _112390, _112392))], (5037 ^ _31135) ^ [] : [vangle(_112394, _112390, _112388) = vangle(_112388, _112390, _112392), -(vangle(_112394, _112390, _112388) = vperp)]], -(ron(_112388, _112386)), rR(_112390, _112394, _112392), _112386 = _112384, rline(_112384), 5008 ^ _31135 : [(5009 ^ _31135) ^ [_112761] : [_112388 = _112761, rpoint(_112761)]], 5016 ^ _31135 : [(5017 ^ _31135) ^ [_112875] : [_112390 = _112875, rpoint(_112875)]], 5024 ^ _31135 : [(5025 ^ _31135) ^ [_112989] : [_112392 = _112989, rpoint(_112989)]], 5030 ^ _31135 : [(5031 ^ _31135) ^ [_113074] : [_112394 = _113074, rpoint(_113074)]]], (393 ^ _31135) ^ [] : [-(vd1399 = 391 ^ [])], (374 ^ _31135) ^ [] : [-(rline(vd1407))], (378 ^ _31135) ^ [] : [vd1399 = vd1401], (385 ^ _31135) ^ [] : [-(rpoint(381 ^ []))], (4620 ^ _31135) ^ [_106366, _106368, _106370, _106372, _106374] : [4664 ^ _31135 : [(4669 ^ _31135) ^ [] : [-(rpoint(4663 ^ [_106366, _106368, _106370, _106372, _106374]))], (4667 ^ _31135) ^ [] : [-(rR(4663 ^ [_106366, _106368, _106370, _106372, _106374], _106370, _106368))], (4665 ^ _31135) ^ [] : [4663 ^ [_106366, _106368, _106370, _106372, _106374] = _106366]], rR(_106366, _106370, _106368), ron(_106368, _106374), ron(_106370, _106374), 4635 ^ _31135 : [(4636 ^ _31135) ^ [_106670] : [_106366 = _106670, rpoint(_106670)]], 4643 ^ _31135 : [(4644 ^ _31135) ^ [_106780] : [_106368 = _106780, rpoint(_106780)]], 4651 ^ _31135 : [(4652 ^ _31135) ^ [_106890] : [_106370 = _106890, rpoint(_106890)]], _106374 = _106372, rline(_106372)], (2814 ^ _31135) ^ [_77766, _77768, _77770, _77772] : [2834 ^ _31135 : [(2837 ^ _31135) ^ [] : [-(rpoint(2833 ^ [_77766, _77768, _77770, _77772]))], (2835 ^ _31135) ^ [] : [rS(2833 ^ [_77766, _77768, _77770, _77772], _77768, _77772)]], _77768 = _77766, -(ron(_77768, _77772)), rpoint(_77766), _77772 = _77770, rline(_77770)], (1045 ^ _31135) ^ [_47346, _47348, _47350, _47352, _47354, _47356, _47358, _47360] : [-(vf(_47360, vskolem1120(_47360, _47358, _47356, _47354, _47352, _47350, _47348, _47346)) = vf(_47352, _47348)), rless(vf(_47352, _47348), vf(_47360, _47356)), -(_47352 = _47348), -(_47360 = _47356), _47348 = _47346, rpoint(_47346), _47352 = _47350, rpoint(_47350), _47356 = _47354, rpoint(_47354), _47360 = _47358, rpoint(_47358)], (336 ^ _31135) ^ [] : [-(ron(vd1409, vd1419))], (4833 ^ _31135) ^ [_109822, _109824] : [4841 ^ _31135 : [(4844 ^ _31135) ^ [] : [-(rpoint(4840 ^ [_109822, _109824]))], (4842 ^ _31135) ^ [] : [-(ron(4840 ^ [_109822, _109824], _109824))]], _109824 = _109822, rline(_109822)], (4023 ^ _31135) ^ [_96718, _96720, _96722, _96724, _96726] : [-(rS(_96724, _96722, _96720)), rS(_96726, _96722, _96720), rS(_96726, _96724, _96720), _96720 = _96718, rline(_96718), 4042 ^ _31135 : [(4043 ^ _31135) ^ [_97049] : [_96722 = _97049, rpoint(_97049)]], 4050 ^ _31135 : [(4051 ^ _31135) ^ [_97159] : [_96724 = _97159, rpoint(_97159)]], 4056 ^ _31135 : [(4057 ^ _31135) ^ [_97242] : [_96726 = _97242, rpoint(_97242)]]], (383 ^ _31135) ^ [] : [-(vd1401 = 381 ^ [])], (312 ^ _31135) ^ [_35831, _35833, _35835, _35837] : [-(vplus(_35837, _35833) = vplus(_35835, _35831)), _35837 = _35835, _35833 = _35831], (1259 ^ _31135) ^ [_50852, _50854, _50856, _50858] : [1291 ^ _31135 : [(1294 ^ _31135) ^ [] : [1290 ^ [_50852, _50854, _50856, _50858] = _50854], (1296 ^ _31135) ^ [] : [-(ron(1290 ^ [_50852, _50854, _50856, _50858], _50858))], (1298 ^ _31135) ^ [] : [-(rpoint(1290 ^ [_50852, _50854, _50856, _50858]))], (1292 ^ _31135) ^ [] : [1290 ^ [_50852, _50854, _50856, _50858] = _50852]], ron(_50852, _50858), ron(_50854, _50858), 1270 ^ _31135 : [(1271 ^ _31135) ^ [_51081] : [_50852 = _51081, rpoint(_51081)]], 1278 ^ _31135 : [(1279 ^ _31135) ^ [_51187] : [_50854 = _51187, rpoint(_51187)]], _50858 = _50856, rcircle(_50856)], (428 ^ _31135) ^ [] : [-(rS(vd1401, vd1409, vd1406))], (4087 ^ _31135) ^ [_97675, _97677, _97679, _97681] : [rR(_97679, _97677, _97675), rR(_97679, _97681, _97675), rR(_97679, _97681, _97677), 4098 ^ _31135 : [(4099 ^ _31135) ^ [_97906] : [_97675 = _97906, rpoint(_97906)]], 4106 ^ _31135 : [(4107 ^ _31135) ^ [_98012] : [_97677 = _98012, rpoint(_98012)]], 4114 ^ _31135 : [(4115 ^ _31135) ^ [_98118] : [_97679 = _98118, rpoint(_98118)]], 4120 ^ _31135 : [(4121 ^ _31135) ^ [_98199] : [_97681 = _98199, rpoint(_98199)]]], (2388 ^ _31135) ^ [_71112, _71114] : [2396 ^ _31135 : [(2399 ^ _31135) ^ [] : [-(rpoint(2395 ^ [_71112, _71114]))], (2397 ^ _31135) ^ [] : [-(ron(2395 ^ [_71112, _71114], _71114))]], _71114 = _71112, rcircle(_71112)], (4309 ^ _31135) ^ [_101190, _101192, _101194, _101196] : [4329 ^ _31135 : [(4334 ^ _31135) ^ [] : [-(rpoint(4328 ^ [_101190, _101192, _101194, _101196]))], (4332 ^ _31135) ^ [] : [-(ron(4328 ^ [_101190, _101192, _101194, _101196], _101196))], (4330 ^ _31135) ^ [] : [-(ron(4328 ^ [_101190, _101192, _101194, _101196], _101192))]], rintersect(_101196, _101192), _101192 = _101190, rline(_101190), _101196 = _101194, rline(_101194)], (86 ^ _31135) ^ [_32300, _32302] : [-(rreal(_32300)), _32302 = _32300, rreal(_32302)], (180 ^ _31135) ^ [_33591, _33593, _33595, _33597] : [-(ron(_33595, _33591)), ron(_33597, _33593), _33597 = _33595, _33593 = _33591], (2782 ^ _31135) ^ [_77340, _77342, _77344, _77346] : [-(vplus(_77346, _77342) = vplus(_77342, _77346)), _77342 = _77340, rreal(_77340), _77346 = _77344, rreal(_77344)], (474 ^ _31135) ^ [_37930, _37932, _37934, _37936] : [-(_37932 = _37930), ron(_37934, _37930), ron(_37934, _37932), ron(_37936, _37930), ron(_37936, _37932), 493 ^ _31135 : [(494 ^ _31135) ^ [_38270] : [_37930 = _38270, rline(_38270)]], 501 ^ _31135 : [(502 ^ _31135) ^ [_38376] : [_37932 = _38376, rline(_38376)]], -(_37936 = _37934), 513 ^ _31135 : [(514 ^ _31135) ^ [_38531] : [_37934 = _38531, rpoint(_38531)]], 519 ^ _31135 : [(520 ^ _31135) ^ [_38612] : [_37936 = _38612, rpoint(_38612)]]], (2273 ^ _31135) ^ [_69371, _69373, _69375, _69377] : [ron(_69377, _69373), rS(_69377, _69375, _69373), _69373 = _69371, rline(_69371), 2288 ^ _31135 : [(2289 ^ _31135) ^ [_69619] : [_69375 = _69619, rpoint(_69619)]], 2294 ^ _31135 : [(2295 ^ _31135) ^ [_69700] : [_69377 = _69700, rpoint(_69700)]]], (4889 ^ _31135) ^ [_110769, _110771, _110773] : [4913 ^ _31135 : [(4916 ^ _31135) ^ [] : [4912 ^ [_110769, _110771, _110773] = _110771], (4918 ^ _31135) ^ [] : [4912 ^ [_110769, _110771, _110773] = _110773], (4920 ^ _31135) ^ [] : [-(rpoint(4912 ^ [_110769, _110771, _110773]))], (4914 ^ _31135) ^ [] : [4912 ^ [_110769, _110771, _110773] = _110769]], 4892 ^ _31135 : [(4893 ^ _31135) ^ [_110893] : [_110769 = _110893, rpoint(_110893)]], 4900 ^ _31135 : [(4901 ^ _31135) ^ [_110995] : [_110771 = _110995, rpoint(_110995)]], 4906 ^ _31135 : [(4907 ^ _31135) ^ [_111074] : [_110773 = _111074, rpoint(_111074)]]], (528 ^ _31135) ^ [_38742, _38744, _38746] : [567 ^ _31135 : [(568 ^ _31135) ^ [_39409, _39411, _39413, _39415] : [-(vangle(_38742, _38744, _39415) = vangle(_38744, _38742, _39411)), _39415 = _39413, _39411 = _39409, rR(_38742, _38746, _39411), rpoint(_39409), rR(_38744, _38746, _39415), rpoint(_39413)]], vf(_38746, _38744) = vf(_38746, _38742), -(_38744 = _38742), -(_38746 = _38742), -(_38746 = _38744), 547 ^ _31135 : [(548 ^ _31135) ^ [_39131] : [_38742 = _39131, rpoint(_39131)]], 555 ^ _31135 : [(556 ^ _31135) ^ [_39233] : [_38744 = _39233, rpoint(_39233)]], 561 ^ _31135 : [(562 ^ _31135) ^ [_39312] : [_38746 = _39312, rpoint(_39312)]]], (1221 ^ _31135) ^ [_50251, _50253] : [-(_50253 = _50251), 1228 ^ _31135 : [(1229 ^ _31135) ^ [_50421] : [_50251 = _50421, rpoint(_50421)]], 1234 ^ _31135 : [(1235 ^ _31135) ^ [_50498] : [_50253 = _50498, rpoint(_50498)]], 1240 ^ _31135 : [(1241 ^ _31135) ^ [_50583, _50585] : [-(rpoint(vskolem1078(_50585, _50583, _50253, _50251))), _50585 = _50583, -(_50585 = _50251), -(_50585 = _50253), rpoint(_50583)]]], (397 ^ _31135) ^ [_36824, _36826] : [417 ^ _31135 : [(422 ^ _31135) ^ [] : [-(rline(416 ^ [_36824, _36826]))], (420 ^ _31135) ^ [] : [-(ron(_36826, 416 ^ [_36824, _36826]))], (418 ^ _31135) ^ [] : [-(ron(_36824, 416 ^ [_36824, _36826]))]], -(_36826 = _36824), 404 ^ _31135 : [(405 ^ _31135) ^ [_36969] : [_36824 = _36969, rpoint(_36969)]], 410 ^ _31135 : [(411 ^ _31135) ^ [_37046] : [_36826 = _37046, rpoint(_37046)]]], (4189 ^ _31135) ^ [_99217, _99219, _99221, _99223, _99225, _99227, _99229, _99231] : [4237 ^ _31135 : [(4240 ^ _31135) ^ [] : [-(ron(4236 ^ [_99217, _99219, _99221, _99223, _99225, _99227, _99229, _99231], _99227))], (4242 ^ _31135) ^ [] : [-(ron(4236 ^ [_99217, _99219, _99221, _99223, _99225, _99227, _99229, _99231], _99231))], (4244 ^ _31135) ^ [] : [-(rpoint(4236 ^ [_99217, _99219, _99221, _99223, _99225, _99227, _99229, _99231]))], (4238 ^ _31135) ^ [] : [-(rR(_99223, 4236 ^ [_99217, _99219, _99221, _99223, _99225, _99227, _99229, _99231], _99219))]], -(_99219 = _99223), ron(_99219, _99227), _99219 = _99217, rpoint(_99217), ron(_99223, _99227), rinside(_99223, _99231), _99223 = _99221, rpoint(_99221), _99227 = _99225, rline(_99225), _99231 = _99229, rcircle(_99229)], (1489 ^ _31135) ^ [_54550, _54552, _54554, _54556, _54558] : [-(ron(_54554, _54552)), _54552 = _54550, ron(_54556, _54552), ron(_54558, _54552), rR(_54556, _54558, _54554), rline(_54550), 1512 ^ _31135 : [(1513 ^ _31135) ^ [_54934] : [_54554 = _54934, rpoint(_54934)]], 1520 ^ _31135 : [(1521 ^ _31135) ^ [_55044] : [_54556 = _55044, rpoint(_55044)]], 1526 ^ _31135 : [(1527 ^ _31135) ^ [_55127] : [_54558 = _55127, rpoint(_55127)]]], (5096 ^ _31135) ^ [_114083, _114085, _114087, _114089, _114091, _114093, _114095, _114097] : [5195 ^ _31135 : [(5196 ^ _31135) ^ [] : [-(rS(_114089, _114097, _114085)), ron(_114089, _114085), ron(_114089, _114087)], (5206 ^ _31135) ^ [] : [-(rintersect(_114087, _114085))]], rless(vplus(vangle(_114097, _114095, _114093), vangle(_114095, _114093, _114091)), vplus(vperp, vperp)), rS(_114097, _114091, _114085), -(_114095 = _114093), ron(_114091, _114083), ron(_114093, _114083), ron(_114093, _114085), ron(_114095, _114085), ron(_114095, _114087), ron(_114097, _114087), 5135 ^ _31135 : [(5136 ^ _31135) ^ [_114883] : [_114083 = _114883, rline(_114883)]], 5143 ^ _31135 : [(5144 ^ _31135) ^ [_115005] : [_114085 = _115005, rline(_115005)]], 5151 ^ _31135 : [(5152 ^ _31135) ^ [_115127] : [_114087 = _115127, rline(_115127)]], 5159 ^ _31135 : [(5160 ^ _31135) ^ [_115249] : [_114089 = _115249, rpoint(_115249)]], 5167 ^ _31135 : [(5168 ^ _31135) ^ [_115371] : [_114091 = _115371, rpoint(_115371)]], 5175 ^ _31135 : [(5176 ^ _31135) ^ [_115493] : [_114093 = _115493, rpoint(_115493)]], 5183 ^ _31135 : [(5184 ^ _31135) ^ [_115615] : [_114095 = _115615, rpoint(_115615)]], 5189 ^ _31135 : [(5190 ^ _31135) ^ [_115704] : [_114097 = _115704, rpoint(_115704)]]], (166 ^ _31135) ^ [_33398, _33400, _33402, _33404] : [-(rleq(_33402, _33398)), rleq(_33404, _33400), _33404 = _33402, _33400 = _33398], (2853 ^ _31135) ^ [_78338, _78340, _78342, _78344, _78346] : [-(_78340 = _78338), vf(_78342, _78346) = vf(_78342, _78344), ron(_78344, _78338), ron(_78346, _78340), rcenter(_78342, _78338), rcenter(_78342, _78340), 2876 ^ _31135 : [(2877 ^ _31135) ^ [_78718] : [_78344 = _78718, rpoint(_78718)]], 2882 ^ _31135 : [(2883 ^ _31135) ^ [_78801] : [_78346 = _78801, rpoint(_78801)]]], (5310 ^ _31135) ^ [_117747, _117749, _117751, _117753, _117755, _117757] : [-(rgeq(vg(_117757, _117753, _117749), v0)), _117749 = _117747, rpoint(_117747), _117753 = _117751, rpoint(_117751), _117757 = _117755, rpoint(_117755)], (1535 ^ _31135) ^ [_55255, _55257, _55259, _55261] : [1555 ^ _31135 : [(1560 ^ _31135) ^ [] : [-(rpoint(1554 ^ [_55255, _55257, _55259, _55261]))], (1558 ^ _31135) ^ [] : [-(ron(1554 ^ [_55255, _55257, _55259, _55261], _55261))], (1556 ^ _31135) ^ [] : [1554 ^ [_55255, _55257, _55259, _55261] = _55257]], ron(_55257, _55261), _55257 = _55255, rpoint(_55255), _55261 = _55259, rcircle(_55259)], (372 ^ _31135) ^ [] : [-(ron(vd1399, vd1406))], (1366 ^ _31135) ^ [_52502, _52504, _52506, _52508, _52510, _52512, _52514, _52516] : [1413 ^ _31135 : [(1414 ^ _31135) ^ [] : [-(vangle(_52512, _52516, _52508) = v0), -(rR(_52516, _52512, _52508)), ron(_52508, _52504)], (1424 ^ _31135) ^ [] : [vangle(_52512, _52516, _52508) = v0, 1427 ^ _31135 : [(1430 ^ _31135) ^ [] : [-(ron(_52508, _52504))], (1428 ^ _31135) ^ [] : [rR(_52516, _52512, _52508)]]]], ron(_52512, _52504), ron(_52516, _52504), -(_52516 = _52508), -(_52516 = _52512), _52504 = _52502, rline(_52502), _52508 = _52506, rpoint(_52506), _52512 = _52510, rpoint(_52510), _52516 = _52514, rpoint(_52514)], (238 ^ _31135) ^ [_34638, _34640, _34642, _34644, _34646, _34648, _34650, _34652] : [-(vskolem1078(_34652, _34648, _34644, _34640) = vskolem1078(_34650, _34646, _34642, _34638)), _34652 = _34650, _34648 = _34646, _34644 = _34642, _34640 = _34638], (2183 ^ _31135) ^ [_68017, _68019, _68021, _68023] : [-(rintersect(_68019, _68017)), ron(_68021, _68017), rinside(_68023, _68017), rinside(_68021, _68019), ron(_68023, _68019), 2202 ^ _31135 : [(2203 ^ _31135) ^ [_68317] : [_68021 = _68317, rpoint(_68317)]], 2208 ^ _31135 : [(2209 ^ _31135) ^ [_68398] : [_68023 = _68398, rpoint(_68398)]]], (322 ^ _31135) ^ [_35976, _35978, _35980, _35982, _35984, _35986] : [-(vangle(_35986, _35982, _35978) = vangle(_35984, _35980, _35976)), _35986 = _35984, _35982 = _35980, _35978 = _35976], (2810 ^ _31135) ^ [] : [-(v0 = vd684)], (48 ^ _31135) ^ [_31781, _31783] : [-(rcircle(_31781)), _31783 = _31781, rcircle(_31783)], (2954 ^ _31135) ^ [_79860, _79862, _79864, _79866, _79868] : [2997 ^ _31135 : [(3004 ^ _31135) ^ [] : [ron(_79864, _79862), -(vg(_79868, _79866, _79864) = v0)], (2998 ^ _31135) ^ [] : [vg(_79868, _79866, _79864) = v0, -(ron(_79864, _79862))]], ron(_79866, _79862), ron(_79868, _79862), -(_79868 = _79866), _79862 = _79860, rline(_79860), 2977 ^ _31135 : [(2978 ^ _31135) ^ [_80255] : [_79864 = _80255, rpoint(_80255)]], 2985 ^ _31135 : [(2986 ^ _31135) ^ [_80365] : [_79866 = _80365, rpoint(_80365)]], 2991 ^ _31135 : [(2992 ^ _31135) ^ [_80448] : [_79868 = _80448, rpoint(_80448)]]], (3010 ^ _31135) ^ [_80720, _80722, _80724, _80726, _80728, _80730] : [-(rless(vplus(_80730, _80722), vplus(_80726, _80722))), rless(_80730, _80726), _80722 = _80720, rreal(_80720), _80726 = _80724, rreal(_80724), _80730 = _80728, rreal(_80728)], (4922 ^ _31135) ^ [_111342, _111344] : [4938 ^ _31135 : [(4943 ^ _31135) ^ [] : [-(rpoint(4937 ^ [_111342, _111344]))], (4941 ^ _31135) ^ [] : [4937 ^ [_111342, _111344] = _111344], (4939 ^ _31135) ^ [] : [4937 ^ [_111342, _111344] = _111342]], 4925 ^ _31135 : [(4926 ^ _31135) ^ [_111438] : [_111342 = _111438, rpoint(_111438)]], 4931 ^ _31135 : [(4932 ^ _31135) ^ [_111515] : [_111344 = _111515, rpoint(_111515)]]], (370 ^ _31135) ^ [] : [-(ron(vd1400, vd1406))], (3339 ^ _31135) ^ [_85702, _85704, _85706, _85708, _85710] : [3384 ^ _31135 : [(3387 ^ _31135) ^ [] : [ron(_85708, _85704)], (3385 ^ _31135) ^ [] : [ron(_85708, _85704)]], rR(_85706, _85710, _85708), -(rinside(_85706, _85704)), 3350 ^ _31135 : [(3353 ^ _31135) ^ [] : [rinside(_85710, _85704)], (3351 ^ _31135) ^ [] : [ron(_85710, _85704)]], _85704 = _85702, rcircle(_85702), 3364 ^ _31135 : [(3365 ^ _31135) ^ [_86135] : [_85706 = _86135, rpoint(_86135)]], 3372 ^ _31135 : [(3373 ^ _31135) ^ [_86245] : [_85708 = _86245, rpoint(_86245)]], 3378 ^ _31135 : [(3379 ^ _31135) ^ [_86328] : [_85710 = _86328, rpoint(_86328)]]], (3155 ^ _31135) ^ [_82746, _82748, _82750, _82752] : [-(rintersect(3203 ^ [_82746, _82748, _82750, _82752], _82748)), -(rS(_82752, _82750, 3158 ^ [_82746, _82748, _82750, _82752])), 3163 ^ _31135 : [(3166 ^ _31135) ^ [] : [rinside(_82750, _82748)], (3164 ^ _31135) ^ [] : [ron(_82750, _82748)]], 3169 ^ _31135 : [(3172 ^ _31135) ^ [] : [rinside(_82752, _82748)], (3170 ^ _31135) ^ [] : [ron(_82752, _82748)]], 3175 ^ _31135 : [(3176 ^ _31135) ^ [_83122] : [_82746 = _83122, rcircle(_83122)]], 3183 ^ _31135 : [(3184 ^ _31135) ^ [_83228] : [_82748 = _83228, rcircle(_83228)]], 3191 ^ _31135 : [(3192 ^ _31135) ^ [_83334] : [_82750 = _83334, rpoint(_83334)]], 3197 ^ _31135 : [(3198 ^ _31135) ^ [_83415] : [_82752 = _83415, rpoint(_83415)]]], (4806 ^ _31135) ^ [_109400, _109402, _109404, _109406] : [4826 ^ _31135 : [(4831 ^ _31135) ^ [] : [-(rpoint(4825 ^ [_109400, _109402, _109404, _109406]))], (4829 ^ _31135) ^ [] : [-(ron(4825 ^ [_109400, _109402, _109404, _109406], _109406))], (4827 ^ _31135) ^ [] : [4825 ^ [_109400, _109402, _109404, _109406] = _109402]], ron(_109402, _109406), _109402 = _109400, rpoint(_109400), _109406 = _109404, rline(_109404)], (3803 ^ _31135) ^ [_93347, _93349, _93351, _93353, _93355] : [-(rR(_93353, _93355, _93351)), ron(_93353, _93349), ron(_93353, _93347), -(rS(_93355, _93351, _93349)), ron(_93351, _93347), ron(_93355, _93347), -(_93349 = _93347), 3830 ^ _31135 : [(3831 ^ _31135) ^ [_93852] : [_93347 = _93852, rline(_93852)]], 3838 ^ _31135 : [(3839 ^ _31135) ^ [_93962] : [_93349 = _93962, rline(_93962)]], -(_93353 = _93351), -(_93355 = _93351), -(_93355 = _93353), 3858 ^ _31135 : [(3859 ^ _31135) ^ [_94225] : [_93351 = _94225, rpoint(_94225)]], 3866 ^ _31135 : [(3867 ^ _31135) ^ [_94335] : [_93353 = _94335, rpoint(_94335)]], 3872 ^ _31135 : [(3873 ^ _31135) ^ [_94418] : [_93355 = _94418, rpoint(_94418)]]], (3040 ^ _31135) ^ [_81171, _81173, _81175, _81177, _81179, _81181] : [-(rless(_81181, _81173)), rless(_81177, _81173), rless(_81181, _81177), _81173 = _81171, rreal(_81171), _81177 = _81175, rreal(_81175), _81181 = _81179, rreal(_81179)], (20 ^ _31135) ^ [_31395, _31397, _31399, _31401] : [-(rcenter(_31399, _31395)), rcenter(_31401, _31397), _31401 = _31399, _31397 = _31395], (2 ^ _31135) ^ [_31162] : [-(_31162 = _31162)], (364 ^ _31135) ^ [] : [vd1409 = vd1401], (360 ^ _31135) ^ [] : [-(ron(vd1401, vskolem1416))], (1863 ^ _31135) ^ [_60216, _60218, _60220, _60222, _60224, _60226, _60228] : [1911 ^ _31135 : [(1914 ^ _31135) ^ [] : [-(ron(1910 ^ [_60216, _60218, _60220, _60222, _60224, _60226, _60228], _60226))], (1916 ^ _31135) ^ [] : [-(ron(1910 ^ [_60216, _60218, _60220, _60222, _60224, _60226, _60228], _60228))], (1918 ^ _31135) ^ [] : [-(rpoint(1910 ^ [_60216, _60218, _60220, _60222, _60224, _60226, _60228]))], (1912 ^ _31135) ^ [] : [-(rS(1910 ^ [_60216, _60218, _60220, _60222, _60224, _60226, _60228], _60216, _60224))]], -(ron(_60216, _60224)), ron(_60218, _60224), ron(_60220, _60224), rcenter(_60218, _60226), rcenter(_60220, _60228), rintersect(_60228, _60226), _60224 = _60222, rline(_60222), 1898 ^ _31135 : [(1899 ^ _31135) ^ [_60816] : [_60226 = _60816, rcircle(_60816)]], 1904 ^ _31135 : [(1905 ^ _31135) ^ [_60903] : [_60228 = _60903, rcircle(_60903)]]], (156 ^ _31135) ^ [_33273, _33275] : [-(rpoint(_33273)), _33275 = _33273, rpoint(_33275)], (3517 ^ _31135) ^ [_88558, _88560, _88562, _88564, _88566, _88568, _88570, _88572] : [-(rS(_88562, _88558, _88572)), rS(_88562, _88558, _88568), rS(_88560, _88558, _88570), rS(_88564, _88562, _88568), rS(_88562, _88560, _88572), ron(_88560, _88568), ron(_88562, _88570), ron(_88564, _88572), ron(_88566, _88568), ron(_88566, _88570), ron(_88566, _88572), 3560 ^ _31135 : [(3561 ^ _31135) ^ [_89367] : [_88560 = _89367, rpoint(_89367)]], 3568 ^ _31135 : [(3569 ^ _31135) ^ [_89489] : [_88562 = _89489, rpoint(_89489)]], 3576 ^ _31135 : [(3577 ^ _31135) ^ [_89611] : [_88564 = _89611, rpoint(_89611)]], 3584 ^ _31135 : [(3585 ^ _31135) ^ [_89733] : [_88566 = _89733, rpoint(_89733)]], 3592 ^ _31135 : [(3593 ^ _31135) ^ [_89855] : [_88568 = _89855, rline(_89855)]], 3600 ^ _31135 : [(3601 ^ _31135) ^ [_89977] : [_88570 = _89977, rline(_89977)]], 3606 ^ _31135 : [(3607 ^ _31135) ^ [_90066] : [_88572 = _90066, rline(_90066)]]], (338 ^ _31135) ^ [] : [-(ron(vd1401, vd1419))], (1300 ^ _31135) ^ [_51528, _51530, _51532, _51534] : [-(vf(_51530, vskolem1052(_51534, _51532, _51530, _51528)) = vf(vskolem1052(_51534, _51532, _51530, _51528), _51534)), _51530 = _51528, -(_51534 = _51530), rpoint(_51528), _51534 = _51532, rpoint(_51532)], (256 ^ _31135) ^ [_34939, _34941, _34943, _34945, _34947, _34949, _34951, _34953] : [-(vskolem1052(_34953, _34949, _34945, _34941) = vskolem1052(_34951, _34947, _34943, _34939)), _34953 = _34951, _34949 = _34947, _34945 = _34943, _34941 = _34939], (4846 ^ _31135) ^ [_109992, _109994, _109996, _109998] : [4878 ^ _31135 : [(4879 ^ _31135) ^ [] : [4877 ^ [_109992, _109994, _109996, _109998] = _109992], (4883 ^ _31135) ^ [] : [4877 ^ [_109992, _109994, _109996, _109998] = _109996], (4887 ^ _31135) ^ [] : [-(rpoint(4877 ^ [_109992, _109994, _109996, _109998]))], (4885 ^ _31135) ^ [] : [4877 ^ [_109992, _109994, _109996, _109998] = _109998], (4881 ^ _31135) ^ [] : [4877 ^ [_109992, _109994, _109996, _109998] = _109994]], 4849 ^ _31135 : [(4850 ^ _31135) ^ [_110144] : [_109992 = _110144, rpoint(_110144)]], 4857 ^ _31135 : [(4858 ^ _31135) ^ [_110250] : [_109994 = _110250, rpoint(_110250)]], 4865 ^ _31135 : [(4866 ^ _31135) ^ [_110356] : [_109996 = _110356, rpoint(_110356)]], 4871 ^ _31135 : [(4872 ^ _31135) ^ [_110437] : [_109998 = _110437, rpoint(_110437)]]], (1137 ^ _31135) ^ [_48874, _48876, _48878, _48880, _48882, _48884, _48886, _48888] : [-(rpoint(vskolem1120(_48888, _48886, _48884, _48882, _48880, _48878, _48876, _48874))), rless(vf(_48880, _48876), vf(_48888, _48884)), -(_48880 = _48876), -(_48888 = _48884), _48876 = _48874, rpoint(_48874), _48880 = _48878, rpoint(_48878), _48884 = _48882, rpoint(_48882), _48888 = _48886, rpoint(_48886)], (4432 ^ _31135) ^ [_103293, _103295, _103297, _103299] : [4452 ^ _31135 : [(4457 ^ _31135) ^ [] : [-(rpoint(4451 ^ [_103293, _103295, _103297, _103299]))], (4455 ^ _31135) ^ [] : [-(rS(4451 ^ [_103293, _103295, _103297, _103299], _103295, _103299))], (4453 ^ _31135) ^ [] : [4451 ^ [_103293, _103295, _103297, _103299] = _103295]], _103295 = _103293, -(ron(_103295, _103299)), rpoint(_103293), _103299 = _103297, rline(_103297)], (368 ^ _31135) ^ [] : [-(vd1406 = vd1407)], (34 ^ _31135) ^ [_31588, _31590, _31592, _31594] : [-(rinside(_31592, _31588)), rinside(_31594, _31590), _31594 = _31592, _31590 = _31588], (2812 ^ _31135) ^ [] : [-(rreal(vd684))], (660 ^ _31135) ^ [_40910, _40912] : [668 ^ _31135 : [(673 ^ _31135) ^ [] : [-(rpoint(667 ^ [_40910, _40912]))], (671 ^ _31135) ^ [] : [rinside(667 ^ [_40910, _40912], _40912)], (669 ^ _31135) ^ [] : [ron(667 ^ [_40910, _40912], _40912)]], _40912 = _40910, rcircle(_40910)], (4459 ^ _31135) ^ [_103721, _103723, _103725, _103727, _103729, _103731] : [4503 ^ _31135 : [(4508 ^ _31135) ^ [] : [-(rpoint(4502 ^ [_103721, _103723, _103725, _103727, _103729, _103731]))], (4506 ^ _31135) ^ [] : [-(rR(_103725, _103727, 4502 ^ [_103721, _103723, _103725, _103727, _103729, _103731]))], (4504 ^ _31135) ^ [] : [4502 ^ [_103721, _103723, _103725, _103727, _103729, _103731] = _103723]], _103723 = _103721, rR(_103725, _103727, _103723), rpoint(_103721), ron(_103725, _103731), ron(_103727, _103731), 4482 ^ _31135 : [(4483 ^ _31135) ^ [_104133] : [_103725 = _104133, rpoint(_104133)]], 4490 ^ _31135 : [(4491 ^ _31135) ^ [_104247] : [_103727 = _104247, rpoint(_104247)]], _103731 = _103729, rline(_103729)], (5208 ^ _31135) ^ [_116009, _116011, _116013, _116015, _116017, _116019] : [-(vg(_116019, _116017, _116015) = vg(_116013, _116011, _116009)), vangle(_116015, _116019, _116017) = vangle(_116009, _116013, _116011), vangle(_116017, _116015, _116019) = vangle(_116011, _116009, _116013), vangle(_116019, _116017, _116015) = vangle(_116013, _116011, _116009), vf(_116015, _116019) = vf(_116009, _116013), vf(_116017, _116015) = vf(_116011, _116009), vf(_116019, _116017) = vf(_116013, _116011), 5235 ^ _31135 : [(5236 ^ _31135) ^ [_116605] : [_116009 = _116605, rpoint(_116605)]], 5243 ^ _31135 : [(5244 ^ _31135) ^ [_116719] : [_116011 = _116719, rpoint(_116719)]], 5251 ^ _31135 : [(5252 ^ _31135) ^ [_116833] : [_116013 = _116833, rpoint(_116833)]], 5259 ^ _31135 : [(5260 ^ _31135) ^ [_116947] : [_116015 = _116947, rpoint(_116947)]], 5267 ^ _31135 : [(5268 ^ _31135) ^ [_117061] : [_116017 = _117061, rpoint(_117061)]], 5273 ^ _31135 : [(5274 ^ _31135) ^ [_117146] : [_116019 = _117146, rpoint(_117146)]]], (376 ^ _31135) ^ [] : [vd1400 = vd1401], (3447 ^ _31135) ^ [_87436, _87438, _87440, _87442, _87444, _87446, _87448] : [-(rR(_87448, _87446, _87444)), -(_87446 = _87444), ron(_87444, _87438), ron(_87446, _87438), rinside(_87448, _87438), ron(_87444, _87442), ron(_87446, _87442), ron(_87448, _87442), _87438 = _87436, rcircle(_87436), _87442 = _87440, rline(_87440), 3494 ^ _31135 : [(3495 ^ _31135) ^ [_88208] : [_87444 = _88208, rpoint(_88208)]], 3502 ^ _31135 : [(3503 ^ _31135) ^ [_88326] : [_87446 = _88326, rpoint(_88326)]], 3508 ^ _31135 : [(3509 ^ _31135) ^ [_88413] : [_87448 = _88413, rpoint(_88413)]]], (1598 ^ _31135) ^ [_56222, _56224, _56226] : [-(vangle(_56226, _56224, _56222) = vangle(_56222, _56224, _56226)), -(_56226 = _56222), -(_56226 = _56224), 1609 ^ _31135 : [(1610 ^ _31135) ^ [_56436] : [_56222 = _56436, rpoint(_56436)]], 1617 ^ _31135 : [(1618 ^ _31135) ^ [_56538] : [_56224 = _56538, rpoint(_56538)]], 1623 ^ _31135 : [(1624 ^ _31135) ^ [_56617] : [_56226 = _56617, rpoint(_56617)]]], (3969 ^ _31135) ^ [_95924, _95926, _95928, _95930, _95932] : [-(rS(_95932, _95928, _95926)), -(rS(_95930, _95928, _95926)), -(rS(_95932, _95930, _95926)), -(ron(_95928, _95926)), -(ron(_95930, _95926)), -(ron(_95932, _95926)), _95926 = _95924, rline(_95924), 3996 ^ _31135 : [(3997 ^ _31135) ^ [_96384] : [_95928 = _96384, rpoint(_96384)]], 4004 ^ _31135 : [(4005 ^ _31135) ^ [_96494] : [_95930 = _96494, rpoint(_96494)]], 4010 ^ _31135 : [(4011 ^ _31135) ^ [_96577] : [_95932 = _96577, rpoint(_96577)]]], (3207 ^ _31135) ^ [_83556, _83558, _83560, _83562, _83564, _83566] : [-(rintersect(_83562, _83558)), _83562 = _83560, _83558 = _83556, ron(_83564, _83558), ron(_83566, _83558), rline(_83556), -(rS(_83566, _83564, _83562)), rline(_83560), 3238 ^ _31135 : [(3239 ^ _31135) ^ [_84055] : [_83564 = _84055, rpoint(_84055)]], 3244 ^ _31135 : [(3245 ^ _31135) ^ [_84140] : [_83566 = _84140, rpoint(_84140)]]], (1183 ^ _31135) ^ [_49629, _49631] : [-(_49631 = _49629), 1190 ^ _31135 : [(1191 ^ _31135) ^ [_49806] : [_49629 = _49806, rpoint(_49806)]], 1196 ^ _31135 : [(1197 ^ _31135) ^ [_49883] : [_49631 = _49883, rpoint(_49883)]], 1202 ^ _31135 : [(1203 ^ _31135) ^ [_49968, _49970] : [-(vf(_49631, _49629) = vf(_49970, vskolem1078(_49970, _49968, _49631, _49629))), _49970 = _49968, -(_49970 = _49629), -(_49970 = _49631), rpoint(_49968)]]], (3881 ^ _31135) ^ [_94563, _94565, _94567, _94569, _94571] : [-(rS(_94569, _94567, _94565)), -(ron(_94569, _94565)), ron(_94571, _94565), rR(_94569, _94571, _94567), _94565 = _94563, rline(_94563), 3904 ^ _31135 : [(3905 ^ _31135) ^ [_94951] : [_94567 = _94951, rpoint(_94951)]], 3912 ^ _31135 : [(3913 ^ _31135) ^ [_95061] : [_94569 = _95061, rpoint(_95061)]], 3918 ^ _31135 : [(3919 ^ _31135) ^ [_95144] : [_94571 = _95144, rpoint(_95144)]]], (5049 ^ _31135) ^ [_113370, _113372] : [-(rleq(v0, vf(_113372, _113370))), 5052 ^ _31135 : [(5053 ^ _31135) ^ [_113449] : [_113370 = _113449, rpoint(_113449)]], 5058 ^ _31135 : [(5059 ^ _31135) ^ [_113526] : [_113372 = _113526, rpoint(_113526)]]], (395 ^ _31135) ^ [] : [-(rpoint(391 ^ []))], (380 ^ _31135) ^ [] : [vd1399 = vd1400], (1678 ^ _31135) ^ [_57418, _57420] : [1694 ^ _31135 : [(1697 ^ _31135) ^ [] : [-(rreal(1693 ^ [_57418, _57420]))], (1695 ^ _31135) ^ [] : [-(vf(_57420, _57418) = 1693 ^ [_57418, _57420])]], 1681 ^ _31135 : [(1682 ^ _31135) ^ [_57507] : [_57418 = _57507, rpoint(_57507)]], 1687 ^ _31135 : [(1688 ^ _31135) ^ [_57584] : [_57420 = _57584, rpoint(_57584)]]], (3253 ^ _31135) ^ [_84270, _84272, _84274, _84276, _84278, _84280, _84282, _84284] : [rS(_84280, _84278, _84272), ron(_84274, _84272), ron(_84276, _84272), _84272 = _84270, rline(_84270), rcenter(_84274, _84282), rcenter(_84276, _84284), -(_84280 = _84278), ron(_84278, _84282), ron(_84278, _84284), ron(_84280, _84282), ron(_84280, _84284), 3300 ^ _31135 : [(3301 ^ _31135) ^ [_85102] : [_84278 = _85102, rpoint(_85102)]], 3308 ^ _31135 : [(3309 ^ _31135) ^ [_85224] : [_84280 = _85224, rpoint(_85224)]], rintersect(_84284, _84282), -(_84284 = _84282), 3324 ^ _31135 : [(3325 ^ _31135) ^ [_85459] : [_84282 = _85459, rcircle(_85459)]], 3330 ^ _31135 : [(3331 ^ _31135) ^ [_85548] : [_84284 = _85548, rcircle(_85548)]]], (2921 ^ _31135) ^ [_79396, _79398] : [rcenter(_79398, _79396), -(rinside(_79398, _79396))], (340 ^ _31135) ^ [] : [-(rline(vd1419))], (594 ^ _31135) ^ [_39826, _39828, _39830] : [633 ^ _31135 : [(634 ^ _31135) ^ [_40493, _40495, _40497, _40499] : [-(vangle(_39830, _39828, _39826) = vangle(_39830, _39826, _39828)), _40499 = _40497, _40495 = _40493, rR(_39826, _39830, _40495), rpoint(_40493), rR(_39828, _39830, _40499), rpoint(_40497)]], vf(_39830, _39828) = vf(_39830, _39826), -(_39828 = _39826), -(_39830 = _39826), -(_39830 = _39828), 613 ^ _31135 : [(614 ^ _31135) ^ [_40215] : [_39826 = _40215, rpoint(_40215)]], 621 ^ _31135 : [(622 ^ _31135) ^ [_40317] : [_39828 = _40317, rpoint(_40317)]], 627 ^ _31135 : [(628 ^ _31135) ^ [_40396] : [_39830 = _40396, rpoint(_40396)]]], (5067 ^ _31135) ^ [_113637, _113639, _113641] : [5091 ^ _31135 : [(5094 ^ _31135) ^ [] : [-(rreal(5090 ^ [_113637, _113639, _113641]))], (5092 ^ _31135) ^ [] : [-(vg(_113641, _113639, _113637) = 5090 ^ [_113637, _113639, _113641])]], 5070 ^ _31135 : [(5071 ^ _31135) ^ [_113747] : [_113637 = _113747, rpoint(_113747)]], 5078 ^ _31135 : [(5079 ^ _31135) ^ [_113849] : [_113639 = _113849, rpoint(_113849)]], 5084 ^ _31135 : [(5085 ^ _31135) ^ [_113928] : [_113641 = _113928, rpoint(_113928)]]], (342 ^ _31135) ^ [] : [-(vd1415 = vskolem1416)], (3100 ^ _31135) ^ [_81945, _81947, _81949, _81951] : [3116 ^ _31135 : [(3119 ^ _31135) ^ [] : [-(rreal(3115 ^ [_81945, _81947, _81949, _81951]))], (3117 ^ _31135) ^ [] : [-(vplus(_81951, _81947) = 3115 ^ [_81945, _81947, _81949, _81951])]], _81947 = _81945, rreal(_81945), _81951 = _81949, rreal(_81949)], (110 ^ _31135) ^ [_32618, _32620, _32622, _32624, _32626, _32628] : [-(rS(_32626, _32622, _32618)), rS(_32628, _32624, _32620), _32628 = _32626, _32624 = _32622, _32620 = _32618], (675 ^ _31135) ^ [_41157, _41159, _41161, _41163, _41165, _41167] : [758 ^ _31135 : [(767 ^ _31135) ^ [] : [-(vangle(_41165, _41167, _41163) = vplus(vangle(_41165, _41167, _41161), vangle(_41161, _41167, _41163))), rS(_41163, _41161, _41159), rS(_41165, _41161, _41157)], (759 ^ _31135) ^ [] : [vangle(_41165, _41167, _41163) = vplus(vangle(_41165, _41167, _41161), vangle(_41161, _41167, _41163)), 762 ^ _31135 : [(765 ^ _31135) ^ [] : [-(rS(_41165, _41161, _41157))], (763 ^ _31135) ^ [] : [-(rS(_41163, _41161, _41159))]]]], -(_41159 = _41157), -(ron(_41161, _41157)), -(ron(_41161, _41159)), -(_41167 = _41163), -(_41167 = _41165), ron(_41163, _41157), ron(_41165, _41159), ron(_41167, _41157), ron(_41167, _41159), 714 ^ _31135 : [(715 ^ _31135) ^ [_41879] : [_41157 = _41879, rline(_41879)]], 722 ^ _31135 : [(723 ^ _31135) ^ [_41993] : [_41159 = _41993, rline(_41993)]], 730 ^ _31135 : [(731 ^ _31135) ^ [_42107] : [_41161 = _42107, rpoint(_42107)]], 738 ^ _31135 : [(739 ^ _31135) ^ [_42221] : [_41163 = _42221, rpoint(_42221)]], 746 ^ _31135 : [(747 ^ _31135) ^ [_42335] : [_41165 = _42335, rpoint(_42335)]], 752 ^ _31135 : [(753 ^ _31135) ^ [_42420] : [_41167 = _42420, rpoint(_42420)]]], (5282 ^ _31135) ^ [_117298, _117300, _117302] : [5305 ^ _31135 : [(5308 ^ _31135) ^ [] : [-(vg(_117302, _117300, _117298) = vg(_117298, _117302, _117300))], (5306 ^ _31135) ^ [] : [-(vg(_117302, _117300, _117298) = vg(_117302, _117298, _117300))]], 5285 ^ _31135 : [(5286 ^ _31135) ^ [_117416] : [_117298 = _117416, rpoint(_117416)]], 5293 ^ _31135 : [(5294 ^ _31135) ^ [_117518] : [_117300 = _117518, rpoint(_117518)]], 5299 ^ _31135 : [(5300 ^ _31135) ^ [_117597] : [_117302 = _117597, rpoint(_117597)]]], (3615 ^ _31135) ^ [_90227, _90229, _90231, _90233, _90235, _90237, _90239] : [-(rS(_90231, _90229, _90235)), -(_90231 = _90233), -(ron(_90227, _90237)), -(rS(_90231, _90227, _90237)), rS(_90229, _90227, _90239), ron(_90227, _90235), ron(_90229, _90237), ron(_90231, _90239), ron(_90233, _90235), ron(_90233, _90237), ron(_90233, _90239), 3658 ^ _31135 : [(3659 ^ _31135) ^ [_91017] : [_90227 = _91017, rpoint(_91017)]], 3666 ^ _31135 : [(3667 ^ _31135) ^ [_91135] : [_90229 = _91135, rpoint(_91135)]], 3674 ^ _31135 : [(3675 ^ _31135) ^ [_91253] : [_90231 = _91253, rpoint(_91253)]], 3682 ^ _31135 : [(3683 ^ _31135) ^ [_91371] : [_90233 = _91371, rpoint(_91371)]], 3690 ^ _31135 : [(3691 ^ _31135) ^ [_91489] : [_90235 = _91489, rline(_91489)]], 3698 ^ _31135 : [(3699 ^ _31135) ^ [_91607] : [_90237 = _91607, rline(_91607)]], 3704 ^ _31135 : [(3705 ^ _31135) ^ [_91694] : [_90239 = _91694, rline(_91694)]]], (3713 ^ _31135) ^ [_91853, _91855, _91857, _91859, _91861, _91863, _91865] : [rS(_91857, _91853, _91863), rS(_91857, _91855, _91861), rS(_91855, _91853, _91865), ron(_91853, _91861), ron(_91855, _91861), ron(_91857, _91865), ron(_91859, _91861), ron(_91859, _91863), ron(_91859, _91865), 3748 ^ _31135 : [(3749 ^ _31135) ^ [_92516] : [_91853 = _92516, rpoint(_92516)]], 3756 ^ _31135 : [(3757 ^ _31135) ^ [_92634] : [_91855 = _92634, rpoint(_92634)]], 3764 ^ _31135 : [(3765 ^ _31135) ^ [_92752] : [_91857 = _92752, rpoint(_92752)]], 3772 ^ _31135 : [(3773 ^ _31135) ^ [_92870] : [_91859 = _92870, rpoint(_92870)]], 3780 ^ _31135 : [(3781 ^ _31135) ^ [_92988] : [_91861 = _92988, rline(_92988)]], 3788 ^ _31135 : [(3789 ^ _31135) ^ [_93106] : [_91863 = _93106, rline(_93106)]], 3794 ^ _31135 : [(3795 ^ _31135) ^ [_93193] : [_91865 = _93193, rline(_93193)]]], (4945 ^ _31135) ^ [_111723, _111725] : [4953 ^ _31135 : [(4956 ^ _31135) ^ [] : [-(rpoint(4952 ^ [_111723, _111725]))], (4954 ^ _31135) ^ [] : [4952 ^ [_111723, _111725] = _111725]], _111725 = _111723, rpoint(_111723)], (4246 ^ _31135) ^ [_100160, _100162, _100164, _100166] : [4267 ^ _31135 : [(4272 ^ _31135) ^ [] : [-(ron(4266 ^ [_100160, _100162, _100164, _100166], _100162))], (4278 ^ _31135) ^ [] : [-(ron(4265 ^ [_100160, _100162, _100164, _100166], _100162))], (4280 ^ _31135) ^ [] : [-(rpoint(4265 ^ [_100160, _100162, _100164, _100166]))], (4274 ^ _31135) ^ [] : [-(rpoint(4266 ^ [_100160, _100162, _100164, _100166]))], (4268 ^ _31135) ^ [] : [4265 ^ [_100160, _100162, _100164, _100166] = 4266 ^ [_100160, _100162, _100164, _100166]], (4270 ^ _31135) ^ [] : [-(ron(4266 ^ [_100160, _100162, _100164, _100166], _100166))], (4276 ^ _31135) ^ [] : [-(ron(4265 ^ [_100160, _100162, _100164, _100166], _100166))]], rintersect(_100162, _100166), _100162 = _100160, rline(_100160), _100166 = _100164, rcircle(_100164)], (4282 ^ _31135) ^ [_100803, _100805, _100807, _100809] : [4302 ^ _31135 : [(4307 ^ _31135) ^ [] : [-(rpoint(4301 ^ [_100803, _100805, _100807, _100809]))], (4305 ^ _31135) ^ [] : [-(ron(4301 ^ [_100803, _100805, _100807, _100809], _100805))], (4303 ^ _31135) ^ [] : [-(ron(4301 ^ [_100803, _100805, _100807, _100809], _100809))]], rintersect(_100805, _100809), _100805 = _100803, rline(_100803), _100809 = _100807, rcircle(_100807)], (2800 ^ _31135) ^ [_77597, _77599] : [-(vplus(_77599, v0) = _77599), _77599 = _77597, rreal(_77597)], (142 ^ _31135) ^ [_33080, _33082, _33084, _33086] : [-(rgeq(_33084, _33080)), rgeq(_33086, _33082), _33086 = _33084, _33082 = _33080], (4960 ^ _31135) ^ [_111936, _111938, _111940, _111942] : [4967 ^ _31135 : [(4977 ^ _31135) ^ [] : [-(rpoint(4973 ^ [_111936, _111938, _111940, _111942]))], (4968 ^ _31135) ^ [] : [_111940 = _111938], (4970 ^ _31135) ^ [] : [_111942 = _111938], (4982 ^ _31135) ^ [] : [-(rpoint(4978 ^ [_111936, _111938, _111940, _111942]))], (4980 ^ _31135) ^ [] : [-(_111940 = 4978 ^ [_111936, _111938, _111940, _111942])], (4987 ^ _31135) ^ [] : [-(rpoint(4983 ^ [_111936, _111938, _111940, _111942]))], (4975 ^ _31135) ^ [] : [-(_111938 = 4973 ^ [_111936, _111938, _111940, _111942])], (4985 ^ _31135) ^ [] : [-(_111942 = 4983 ^ [_111936, _111938, _111940, _111942])], (4972 ^ _31135) ^ [] : [_111942 = _111940]], vtriangle(_111942, _111940, _111938) = _111936, rtriangle(_111936)], (2839 ^ _31135) ^ [_78153, _78155] : [rcenter(_78155, _78153), 2844 ^ _31135 : [(2847 ^ _31135) ^ [] : [-(rcircle(2843 ^ [_78153, _78155]))], (2849 ^ _31135) ^ [] : [-(_78155 = 2842 ^ [_78153, _78155])], (2851 ^ _31135) ^ [] : [-(rpoint(2842 ^ [_78153, _78155]))], (2845 ^ _31135) ^ [] : [-(_78153 = 2843 ^ [_78153, _78155])]]], (2217 ^ _31135) ^ [_68518, _68520, _68522, _68524] : [-(rintersect(_68520, _68518)), -(rinside(_68522, _68518)), -(ron(_68522, _68518)), rinside(_68524, _68518), 2232 ^ _31135 : [(2235 ^ _31135) ^ [] : [rinside(_68522, _68520)], (2233 ^ _31135) ^ [] : [ron(_68522, _68520)]], ron(_68524, _68520), 2242 ^ _31135 : [(2243 ^ _31135) ^ [_68946] : [_68518 = _68946, rcircle(_68946)]], 2250 ^ _31135 : [(2251 ^ _31135) ^ [_69052] : [_68520 = _69052, rcircle(_69052)]], 2258 ^ _31135 : [(2259 ^ _31135) ^ [_69158] : [_68522 = _69158, rpoint(_69158)]], 2264 ^ _31135 : [(2265 ^ _31135) ^ [_69239] : [_68524 = _69239, rpoint(_69239)]]], (3389 ^ _31135) ^ [_86489, _86491, _86493, _86495, _86497, _86499, _86501] : [-(rinside(_86497, _86491)), rR(_86497, _86501, _86499), 3396 ^ _31135 : [(3399 ^ _31135) ^ [] : [rinside(_86499, _86491)], (3397 ^ _31135) ^ [] : [ron(_86499, _86491)]], 3402 ^ _31135 : [(3405 ^ _31135) ^ [] : [rinside(_86501, _86491)], (3403 ^ _31135) ^ [] : [ron(_86501, _86491)]], _86491 = _86489, rcircle(_86489), _86495 = _86493, rline(_86493), 3424 ^ _31135 : [(3425 ^ _31135) ^ [_87091] : [_86497 = _87091, rpoint(_87091)]], 3432 ^ _31135 : [(3433 ^ _31135) ^ [_87209] : [_86499 = _87209, rpoint(_87209)]], 3438 ^ _31135 : [(3439 ^ _31135) ^ [_87296] : [_86501 = _87296, rpoint(_87296)]]], (2121 ^ _31135) ^ [_67111, _67113, _67115, _67117, _67119, _67121] : [2144 ^ _31135 : [(2151 ^ _31135) ^ [] : [ron(_67121, _67115), -(vf(_67117, _67121) = vf(_67117, _67113))], (2145 ^ _31135) ^ [] : [vf(_67117, _67121) = vf(_67117, _67113), -(ron(_67121, _67115))]], ron(_67113, _67115), _67113 = _67111, rpoint(_67111), rcenter(_67117, _67115), _67121 = _67119, rpoint(_67119)], (4129 ^ _31135) ^ [_98323, _98325, _98327, _98329] : [-(rR(_98323, _98329, _98325)), rR(_98323, _98329, _98327), rR(_98327, _98329, _98325), 4140 ^ _31135 : [(4141 ^ _31135) ^ [_98552] : [_98323 = _98552, rpoint(_98552)]], 4148 ^ _31135 : [(4149 ^ _31135) ^ [_98658] : [_98325 = _98658, rpoint(_98658)]], 4156 ^ _31135 : [(4157 ^ _31135) ^ [_98764] : [_98327 = _98764, rpoint(_98764)]], 4162 ^ _31135 : [(4163 ^ _31135) ^ [_98845] : [_98329 = _98845, rpoint(_98845)]]], (194 ^ _31135) ^ [_33780, _33782] : [-(rline(_33780)), _33782 = _33780, rline(_33782)], (4551 ^ _31135) ^ [_105183, _105185, _105187, _105189, _105191, _105193] : [4611 ^ _31135 : [(4614 ^ _31135) ^ [] : [4610 ^ [_105183, _105185, _105187, _105189, _105191, _105193] = _105185], (4616 ^ _31135) ^ [] : [-(rR(4610 ^ [_105183, _105185, _105187, _105189, _105191, _105193], _105189, _105187))], (4618 ^ _31135) ^ [] : [-(rpoint(4610 ^ [_105183, _105185, _105187, _105189, _105191, _105193]))], (4612 ^ _31135) ^ [] : [4610 ^ [_105183, _105185, _105187, _105189, _105191, _105193] = _105183]], rR(_105183, _105189, _105187), rR(_105185, _105189, _105187), ron(_105185, _105193), ron(_105187, _105193), ron(_105189, _105193), 4574 ^ _31135 : [(4575 ^ _31135) ^ [_105639] : [_105183 = _105639, rpoint(_105639)]], 4582 ^ _31135 : [(4583 ^ _31135) ^ [_105753] : [_105185 = _105753, rpoint(_105753)]], 4590 ^ _31135 : [(4591 ^ _31135) ^ [_105867] : [_105187 = _105867, rpoint(_105867)]], 4598 ^ _31135 : [(4599 ^ _31135) ^ [_105981] : [_105189 = _105981, rpoint(_105981)]], _105193 = _105191, rline(_105191)], (432 ^ _31135) ^ [_37286, _37288, _37290] : [-(vf(_37290, _37288) = vf(_37290, _37286)), vangle(_37290, _37288, _37286) = vangle(_37290, _37286, _37288), -(_37288 = _37286), -(_37290 = _37286), -(_37290 = _37288), 451 ^ _31135 : [(452 ^ _31135) ^ [_37621] : [_37286 = _37621, rpoint(_37621)]], 459 ^ _31135 : [(460 ^ _31135) ^ [_37723] : [_37288 = _37723, rpoint(_37723)]], 465 ^ _31135 : [(466 ^ _31135) ^ [_37802] : [_37290 = _37802, rpoint(_37802)]]], (2927 ^ _31135) ^ [_79473, _79475, _79477, _79479] : [2947 ^ _31135 : [(2952 ^ _31135) ^ [] : [-(rpoint(2946 ^ [_79473, _79475, _79477, _79479]))], (2950 ^ _31135) ^ [] : [-(ron(2946 ^ [_79473, _79475, _79477, _79479], _79479))], (2948 ^ _31135) ^ [] : [-(ron(2946 ^ [_79473, _79475, _79477, _79479], _79475))]], rintersect(_79479, _79475), _79475 = _79473, rcircle(_79473), _79479 = _79477, rcircle(_79477)], (5354 ^ _31135) ^ [_118399, _118401, _118403] : [5377 ^ _31135 : [(5380 ^ _31135) ^ [] : [-(rleq(v0, vangle(_118403, _118401, _118399)))], (5378 ^ _31135) ^ [] : [-(rleq(vangle(_118403, _118401, _118399), vplus(vperp, vperp)))]], 5357 ^ _31135 : [(5358 ^ _31135) ^ [_118509] : [_118399 = _118509, rpoint(_118509)]], 5365 ^ _31135 : [(5366 ^ _31135) ^ [_118611] : [_118401 = _118611, rpoint(_118611)]], 5371 ^ _31135 : [(5372 ^ _31135) ^ [_118690] : [_118403 = _118690, rpoint(_118690)]]], (358 ^ _31135) ^ [] : [-(ron(vd1399, vskolem1416))], (4336 ^ _31135) ^ [_101577, _101579, _101581, _101583, _101585, _101587, _101589, _101591] : [4380 ^ _31135 : [(4381 ^ _31135) ^ [] : [4379 ^ [_101577, _101579, _101581, _101583, _101585, _101587, _101589, _101591] = _101579], (4385 ^ _31135) ^ [] : [4379 ^ [_101577, _101579, _101581, _101583, _101585, _101587, _101589, _101591] = _101587], (4389 ^ _31135) ^ [] : [-(rpoint(4379 ^ [_101577, _101579, _101581, _101583, _101585, _101587, _101589, _101591]))], (4387 ^ _31135) ^ [] : [-(rS(4379 ^ [_101577, _101579, _101581, _101583, _101585, _101587, _101589, _101591], _101587, _101591))], (4383 ^ _31135) ^ [] : [4379 ^ [_101577, _101579, _101581, _101583, _101585, _101587, _101589, _101591] = _101583]], _101587 = _101585, _101583 = _101581, _101579 = _101577, rS(_101579, _101587, _101591), rpoint(_101577), rS(_101583, _101587, _101591), rpoint(_101581), -(ron(_101587, _101591)), rpoint(_101585), _101591 = _101589, rline(_101589)], (4 ^ _31135) ^ [_31185, _31187] : [_31187 = _31185, -(_31185 = _31187)], (2503 ^ _31135) ^ [_72993, _72995, _72997, _72999, _73001] : [rS(_73001, _72997, _72995), ron(_72999, _72995), rR(_72999, _73001, _72997), _72995 = _72993, rline(_72993), 2522 ^ _31135 : [(2523 ^ _31135) ^ [_73324] : [_72997 = _73324, rpoint(_73324)]], 2530 ^ _31135 : [(2531 ^ _31135) ^ [_73434] : [_72999 = _73434, rpoint(_73434)]], 2536 ^ _31135 : [(2537 ^ _31135) ^ [_73517] : [_73001 = _73517, rpoint(_73517)]]], (777 ^ _31135) ^ [_42818, _42820, _42822, _42824, _42826, _42828] : [-(vangle(_42828, _42824, _42826) = vangle(_42822, _42818, _42820)), 781 ^ _31135 : [(784 ^ _31135) ^ [] : [-(ron(_42820, 780 ^ [_42818, _42820, _42822, _42824, _42826, _42828]))], (786 ^ _31135) ^ [] : [-(ron(_42822, 780 ^ [_42818, _42820, _42822, _42824, _42826, _42828]))], (788 ^ _31135) ^ [] : [-(rline(780 ^ [_42818, _42820, _42822, _42824, _42826, _42828]))], (782 ^ _31135) ^ [] : [-(ron(_42818, 780 ^ [_42818, _42820, _42822, _42824, _42826, _42828]))]], vangle(_42826, _42828, _42824) = vangle(_42820, _42822, _42818), vf(_42828, _42824) = vf(_42822, _42818), vf(_42828, _42826) = vf(_42822, _42820), 803 ^ _31135 : [(804 ^ _31135) ^ [_43416] : [_42818 = _43416, rpoint(_43416)]], 811 ^ _31135 : [(812 ^ _31135) ^ [_43530] : [_42820 = _43530, rpoint(_43530)]], 819 ^ _31135 : [(820 ^ _31135) ^ [_43644] : [_42822 = _43644, rpoint(_43644)]], -(_42826 = _42824), -(_42828 = _42824), -(_42828 = _42826), 839 ^ _31135 : [(840 ^ _31135) ^ [_43917] : [_42824 = _43917, rpoint(_43917)]], 847 ^ _31135 : [(848 ^ _31135) ^ [_44031] : [_42826 = _44031, rpoint(_44031)]], 853 ^ _31135 : [(854 ^ _31135) ^ [_44116] : [_42828 = _44116, rpoint(_44116)]]], (58 ^ _31135) ^ [_31906, _31908] : [-(rtriangle(_31906)), _31908 = _31906, rtriangle(_31908)], (2891 ^ _31135) ^ [_78925, _78927, _78929] : [-(vplus(vf(_78929, _78927), vf(_78927, _78925)) = vf(_78929, _78925)), rR(_78927, _78929, _78925), 2898 ^ _31135 : [(2899 ^ _31135) ^ [_79087] : [_78925 = _79087, rpoint(_79087)]], 2906 ^ _31135 : [(2907 ^ _31135) ^ [_79189] : [_78927 = _79189, rpoint(_79189)]], 2912 ^ _31135 : [(2913 ^ _31135) ^ [_79268] : [_78929 = _79268, rpoint(_79268)]]], (2325 ^ _31135) ^ [_70119, _70121] : [2346 ^ _31135 : [(2351 ^ _31135) ^ [] : [-(ron(2345 ^ [_70119, _70121], _70121))], (2357 ^ _31135) ^ [] : [-(ron(2344 ^ [_70119, _70121], _70121))], (2359 ^ _31135) ^ [] : [-(rpoint(2344 ^ [_70119, _70121]))], (2353 ^ _31135) ^ [] : [-(rpoint(2345 ^ [_70119, _70121]))], (2347 ^ _31135) ^ [] : [2344 ^ [_70119, _70121] = 2345 ^ [_70119, _70121]], (2349 ^ _31135) ^ [] : [-(ron(2345 ^ [_70119, _70121], _70119))], (2355 ^ _31135) ^ [] : [-(ron(2344 ^ [_70119, _70121], _70119))]], rintersect(_70121, _70119), 2332 ^ _31135 : [(2333 ^ _31135) ^ [_70291] : [_70119 = _70291, rcircle(_70291)]], 2338 ^ _31135 : [(2339 ^ _31135) ^ [_70368] : [_70121 = _70368, rcircle(_70368)]]], (426 ^ _31135) ^ [] : [-(vf(vd1399, vd1401) = vf(vd1399, vd1409))], (344 ^ _31135) ^ [_36283] : [-(_36283 = vskolem1416), ron(vd1399, _36283), ron(vd1401, _36283), rline(_36283)], (128 ^ _31135) ^ [_32887, _32889, _32891, _32893] : [-(rintersect(_32891, _32887)), rintersect(_32893, _32889), _32893 = _32891, _32889 = _32887], (390 ^ _31135) ^ [] : [-(rpoint(386 ^ []))], (1781 ^ _31135) ^ [_58950, _58952, _58954, _58956, _58958] : [-(ron(_58956, _58952)), _58952 = _58950, ron(_58954, _58952), ron(_58958, _58952), rR(_58956, _58958, _58954), rline(_58950), 1804 ^ _31135 : [(1805 ^ _31135) ^ [_59334] : [_58954 = _59334, rpoint(_59334)]], 1812 ^ _31135 : [(1813 ^ _31135) ^ [_59444] : [_58956 = _59444, rpoint(_59444)]], 1818 ^ _31135 : [(1819 ^ _31135) ^ [_59527] : [_58958 = _59527, rpoint(_59527)]]], (366 ^ _31135) ^ [] : [-(rpoint(vd1409))], (298 ^ _31135) ^ [_35610, _35612, _35614, _35616, _35618, _35620] : [-(vg(_35620, _35616, _35612) = vg(_35618, _35614, _35610)), _35620 = _35618, _35616 = _35614, _35612 = _35610], (388 ^ _31135) ^ [] : [-(vd1400 = 386 ^ [])], (68 ^ _31135) ^ [_32031, _32033, _32035, _32037, _32039, _32041] : [-(rR(_32039, _32035, _32031)), rR(_32041, _32037, _32033), _32041 = _32039, _32037 = _32035, _32033 = _32031], (4671 ^ _31135) ^ [_107203, _107205, _107207, _107209] : [4707 ^ _31135 : [(4710 ^ _31135) ^ [] : [-(rpoint(4706 ^ [_107203, _107205, _107207, _107209]))], (4708 ^ _31135) ^ [] : [-(rR(4706 ^ [_107203, _107205, _107207, _107209], _107205, _107203))]], -(_107205 = _107203), ron(_107203, _107209), ron(_107205, _107209), 4686 ^ _31135 : [(4687 ^ _31135) ^ [_107474] : [_107203 = _107474, rpoint(_107474)]], 4694 ^ _31135 : [(4695 ^ _31135) ^ [_107580] : [_107205 = _107580, rpoint(_107580)]], _107209 = _107207, rline(_107207)], (4510 ^ _31135) ^ [_104572, _104574, _104576, _104578] : [4546 ^ _31135 : [(4549 ^ _31135) ^ [] : [-(rpoint(4545 ^ [_104572, _104574, _104576, _104578]))], (4547 ^ _31135) ^ [] : [-(rR(_104572, _104574, 4545 ^ [_104572, _104574, _104576, _104578]))]], -(_104574 = _104572), ron(_104572, _104578), ron(_104574, _104578), 4525 ^ _31135 : [(4526 ^ _31135) ^ [_104843] : [_104572 = _104843, rpoint(_104843)]], 4533 ^ _31135 : [(4534 ^ _31135) ^ [_104949] : [_104574 = _104949, rpoint(_104949)]], _104578 = _104576, rline(_104576)], (4712 ^ _31135) ^ [_107814, _107816, _107818, _107820, _107822] : [4756 ^ _31135 : [(4759 ^ _31135) ^ [] : [4755 ^ [_107814, _107816, _107818, _107820, _107822] = _107818], (4761 ^ _31135) ^ [] : [-(ron(4755 ^ [_107814, _107816, _107818, _107820, _107822], _107822))], (4763 ^ _31135) ^ [] : [-(rpoint(4755 ^ [_107814, _107816, _107818, _107820, _107822]))], (4757 ^ _31135) ^ [] : [4755 ^ [_107814, _107816, _107818, _107820, _107822] = _107816]], ron(_107814, _107822), ron(_107816, _107822), ron(_107818, _107822), 4727 ^ _31135 : [(4728 ^ _31135) ^ [_108123] : [_107814 = _108123, rpoint(_108123)]], 4735 ^ _31135 : [(4736 ^ _31135) ^ [_108233] : [_107816 = _108233, rpoint(_108233)]], 4743 ^ _31135 : [(4744 ^ _31135) ^ [_108343] : [_107818 = _108343, rpoint(_108343)]], _107822 = _107820, rline(_107820)], (2672 ^ _31135) ^ [_75575, _75577, _75579, _75581, _75583, _75585] : [2739 ^ _31135 : [(2746 ^ _31135) ^ [] : [vplus(vg(_75585, _75581, _75579), vg(_75579, _75581, _75583)) = vg(_75585, _75579, _75583), -(rR(_75581, _75585, _75583))], (2740 ^ _31135) ^ [] : [rR(_75581, _75585, _75583), -(vplus(vg(_75585, _75581, _75579), vg(_75579, _75581, _75583)) = vg(_75585, _75579, _75583))]], -(ron(_75579, _75577)), _75577 = _75575, rline(_75575), -(_75581 = _75579), -(_75583 = _75579), -(_75583 = _75581), -(_75585 = _75579), -(_75585 = _75581), -(_75585 = _75583), 2711 ^ _31135 : [(2712 ^ _31135) ^ [_76262] : [_75579 = _76262, rpoint(_76262)]], 2719 ^ _31135 : [(2720 ^ _31135) ^ [_76376] : [_75581 = _76376, rpoint(_76376)]], 2727 ^ _31135 : [(2728 ^ _31135) ^ [_76490] : [_75583 = _76490, rpoint(_76490)]], 2733 ^ _31135 : [(2734 ^ _31135) ^ [_76575] : [_75585 = _76575, rpoint(_76575)]]], (1344 ^ _31135) ^ [_52190, _52192, _52194, _52196] : [-(rpoint(vskolem1052(_52196, _52194, _52192, _52190))), _52192 = _52190, -(_52196 = _52192), rpoint(_52190), _52196 = _52194, rpoint(_52194)], (424 ^ _31135) ^ [] : [-(vf(vd1400, vd1401) = vf(vd1400, vd1409))], (204 ^ _31135) ^ [_33937, _33939, _33941, _33943, _33945, _33947, _33949, _33951, _33953, _33955, _33957, _33959, _33961, _33963, _33965, _33967] : [-(vskolem1120(_33967, _33963, _33959, _33955, _33951, _33947, _33943, _33939) = vskolem1120(_33965, _33961, _33957, _33953, _33949, _33945, _33941, _33937)), _33967 = _33965, _33963 = _33961, _33959 = _33957, _33955 = _33953, _33951 = _33949, _33947 = _33945, _33943 = _33941, _33939 = _33937], (947 ^ _31135) ^ [_45726, _45728, _45730, _45732, _45734, _45736] : [-(vf(_45734, _45732) = vf(_45728, _45726)), 951 ^ _31135 : [(954 ^ _31135) ^ [] : [-(ron(_45728, 950 ^ [_45726, _45728, _45730, _45732, _45734, _45736]))], (956 ^ _31135) ^ [] : [-(ron(_45730, 950 ^ [_45726, _45728, _45730, _45732, _45734, _45736]))], (958 ^ _31135) ^ [] : [-(rline(950 ^ [_45726, _45728, _45730, _45732, _45734, _45736]))], (952 ^ _31135) ^ [] : [-(ron(_45726, 950 ^ [_45726, _45728, _45730, _45732, _45734, _45736]))]], vangle(_45734, _45736, _45732) = vangle(_45728, _45730, _45726), vf(_45736, _45732) = vf(_45730, _45726), vf(_45736, _45734) = vf(_45730, _45728), 973 ^ _31135 : [(974 ^ _31135) ^ [_46322] : [_45726 = _46322, rpoint(_46322)]], 981 ^ _31135 : [(982 ^ _31135) ^ [_46436] : [_45728 = _46436, rpoint(_46436)]], 989 ^ _31135 : [(990 ^ _31135) ^ [_46550] : [_45730 = _46550, rpoint(_46550)]], -(_45734 = _45732), -(_45736 = _45732), -(_45736 = _45734), 1009 ^ _31135 : [(1010 ^ _31135) ^ [_46823] : [_45732 = _46823, rpoint(_46823)]], 1017 ^ _31135 : [(1018 ^ _31135) ^ [_46937] : [_45734 = _46937, rpoint(_46937)]], 1023 ^ _31135 : [(1024 ^ _31135) ^ [_47022] : [_45736 = _47022, rpoint(_47022)]]], (10 ^ _31135) ^ [_31258, _31260, _31262] : [-(_31262 = _31258), _31262 = _31260, _31260 = _31258], (1322 ^ _31135) ^ [_51864, _51866, _51868, _51870] : [-(vf(_51870, _51866) = vf(_51866, vskolem1052(_51870, _51868, _51866, _51864))), _51866 = _51864, -(_51870 = _51866), rpoint(_51864), _51870 = _51868, rpoint(_51868)], (96 ^ _31135) ^ [_32425, _32427, _32429, _32431] : [-(rless(_32429, _32425)), rless(_32431, _32427), _32431 = _32429, _32427 = _32425], (3927 ^ _31135) ^ [_95273, _95275, _95277, _95279, _95281] : [-(rS(_95281, _95279, _95275)), rS(_95281, _95277, _95275), rR(_95279, _95281, _95277), _95275 = _95273, rline(_95273), 3946 ^ _31135 : [(3947 ^ _31135) ^ [_95604] : [_95277 = _95604, rpoint(_95604)]], 3954 ^ _31135 : [(3955 ^ _31135) ^ [_95714] : [_95279 = _95714, rpoint(_95714)]], 3960 ^ _31135 : [(3961 ^ _31135) ^ [_95797] : [_95281 = _95797, rpoint(_95797)]]], (1827 ^ _31135) ^ [_59655, _59657, _59659] : [1854 ^ _31135 : [(1857 ^ _31135) ^ [] : [_59659 = _59655], (1859 ^ _31135) ^ [] : [_59659 = _59657], (1861 ^ _31135) ^ [] : [-(rR(_59657, _59655, _59659))], (1855 ^ _31135) ^ [] : [rR(_59659, _59657, _59655)]], rR(_59657, _59659, _59655), 1834 ^ _31135 : [(1835 ^ _31135) ^ [_59831] : [_59655 = _59831, rpoint(_59831)]], 1842 ^ _31135 : [(1843 ^ _31135) ^ [_59933] : [_59657 = _59933, rpoint(_59933)]], 1848 ^ _31135 : [(1849 ^ _31135) ^ [_60012] : [_59659 = _60012, rpoint(_60012)]]], (1091 ^ _31135) ^ [_48115, _48117, _48119, _48121, _48123, _48125, _48127, _48129] : [-(rR(vskolem1120(_48129, _48127, _48125, _48123, _48121, _48119, _48117, _48115), _48129, _48125)), rless(vf(_48121, _48117), vf(_48129, _48125)), -(_48121 = _48117), -(_48129 = _48125), _48117 = _48115, rpoint(_48115), _48121 = _48119, rpoint(_48119), _48125 = _48123, rpoint(_48123), _48129 = _48127, rpoint(_48127)], (5336 ^ _31135) ^ [_118134, _118136] : [-(vg(_118136, _118136, _118134) = v0), 5339 ^ _31135 : [(5340 ^ _31135) ^ [_118214] : [_118134 = _118214, rpoint(_118214)]], 5345 ^ _31135 : [(5346 ^ _31135) ^ [_118291] : [_118136 = _118291, rpoint(_118291)]]], (4171 ^ _31135) ^ [_98970, _98972, _98974, _98976] : [-(_98972 = _98970), rcenter(_98970, _98976), rcenter(_98972, _98976), _98976 = _98974, rcircle(_98974)], (1032 ^ _31135) ^ [_47176, _47178] : [1040 ^ _31135 : [(1043 ^ _31135) ^ [] : [-(rpoint(1039 ^ [_47176, _47178]))], (1041 ^ _31135) ^ [] : [-(rinside(1039 ^ [_47176, _47178], _47178))]], _47178 = _47176, rcircle(_47176)], (2545 ^ _31135) ^ [_73643, _73645, _73647, _73649, _73651] : [-(rR(_73649, _73651, _73647)), -(rR(_73651, _73649, _73647)), -(rR(_73647, _73651, _73649)), _73645 = _73643, ron(_73647, _73645), ron(_73649, _73645), ron(_73651, _73645), rline(_73643), -(_73649 = _73647), -(_73651 = _73647), -(_73651 = _73649), 2580 ^ _31135 : [(2581 ^ _31135) ^ [_74217] : [_73647 = _74217, rpoint(_74217)]], 2588 ^ _31135 : [(2589 ^ _31135) ^ [_74327] : [_73649 = _74327, rpoint(_74327)]], 2594 ^ _31135 : [(2595 ^ _31135) ^ [_74410] : [_73651 = _74410, rpoint(_74410)]]], (1562 ^ _31135) ^ [_55677, _55679, _55681, _55683] : [1585 ^ _31135 : [(1592 ^ _31135) ^ [] : [rinside(_55683, _55677), -(rless(vf(_55679, _55683), vf(_55679, _55681)))], (1586 ^ _31135) ^ [] : [rless(vf(_55679, _55683), vf(_55679, _55681)), -(rinside(_55683, _55677))]], ron(_55681, _55677), rcenter(_55679, _55677), 1573 ^ _31135 : [(1574 ^ _31135) ^ [_55881] : [_55681 = _55881, rpoint(_55881)]], 1579 ^ _31135 : [(1580 ^ _31135) ^ [_55962] : [_55683 = _55962, rpoint(_55962)]]], (1739 ^ _31135) ^ [_58303, _58305, _58307, _58309] : [-(rR(_58307, _58309, _58303)), rR(_58305, _58307, _58303), rR(_58307, _58309, _58305), 1750 ^ _31135 : [(1751 ^ _31135) ^ [_58532] : [_58303 = _58532, rpoint(_58532)]], 1758 ^ _31135 : [(1759 ^ _31135) ^ [_58638] : [_58305 = _58638, rpoint(_58638)]], 1766 ^ _31135 : [(1767 ^ _31135) ^ [_58744] : [_58307 = _58744, rpoint(_58744)]], 1772 ^ _31135 : [(1773 ^ _31135) ^ [_58825] : [_58309 = _58825, rpoint(_58825)]]], (288 ^ _31135) ^ [_35461, _35463, _35465, _35467] : [-(vf(_35467, _35463) = vf(_35465, _35461)), _35467 = _35465, _35463 = _35461]], input).
% 48.25/46.96  ncf('1',plain,[-(ron(vd1401, 5381 ^ []))],start(5385 ^ 0)).
% 48.25/46.96  ncf('1.1',plain,[ron(vd1401, 5381 ^ []), -(5381 ^ [] = vd1419), ron(vd1401, vd1419), ron(vd1409, vd1419), ron(vd1409, 5381 ^ []), 494 : vd1419 = vd1419, 494 : rline(vd1419), 502 : 5381 ^ [] = 5381 ^ [], 502 : rline(5381 ^ []), 502 : -(vd1409 = vd1401), 514 : vd1401 = 381 ^ [], 514 : rpoint(381 ^ []), 520 : vd1409 = vd1409, 520 : rpoint(vd1409)],extension(474 ^ 1,bind([[_37930, _37932, _37934, _37936, _38270, _38376, _38531, _38612], [vd1419, 5381 ^ [], vd1401, vd1409, vd1419, 5381 ^ [], 381 ^ [], vd1409]]))).
% 48.25/46.96  ncf('1.1.1',plain,[5381 ^ [] = vd1419],extension(5389 ^ 2)).
% 48.25/46.96  ncf('1.1.2',plain,[-(ron(vd1401, vd1419))],extension(338 ^ 2)).
% 48.25/46.96  ncf('1.1.3',plain,[-(ron(vd1409, vd1419))],extension(336 ^ 2)).
% 48.25/46.96  ncf('1.1.4',plain,[-(ron(vd1409, 5381 ^ []))],extension(5383 ^ 2)).
% 48.25/46.96  ncf('1.1.5',plain,[-(vd1419 = vd1419)],extension(2 ^ 4,bind([[_31162], [vd1419]]))).
% 48.25/46.96  ncf('1.1.6',plain,[-(rline(vd1419))],extension(340 ^ 4)).
% 48.25/46.96  ncf('1.1.7',plain,[-(5381 ^ [] = 5381 ^ [])],extension(2 ^ 4,bind([[_31162], [5381 ^ []]]))).
% 48.25/46.96  ncf('1.1.8',plain,[-(rline(5381 ^ []))],extension(5387 ^ 4)).
% 48.25/46.96  ncf('1.1.9',plain,[vd1409 = vd1401],extension(364 ^ 2)).
% 48.25/46.96  ncf('1.1.10',plain,[-(vd1401 = 381 ^ [])],extension(383 ^ 4)).
% 48.25/46.96  ncf('1.1.11',plain,[-(rpoint(381 ^ []))],extension(385 ^ 4)).
% 48.25/46.96  ncf('1.1.12',plain,[-(vd1409 = vd1409)],extension(2 ^ 4,bind([[_31162], [vd1409]]))).
% 48.25/46.96  ncf('1.1.13',plain,[-(rpoint(vd1409))],extension(366 ^ 4)).
% 48.25/46.96  %-----------------------------------------------------
% 48.25/46.96  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------