TSTP Solution File: GEO585+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO585+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n022.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 11:12:40 EDT 2023
% Result : Theorem 254.84s 246.49s
% Output : Proof 254.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO585+1 : TPTP v8.1.2. Released v7.5.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri May 19 04:04:46 EDT 2023
% 0.13/0.33 % CPUTime :
% 254.84/246.49
% 254.84/246.49 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 254.84/246.49 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 254.84/246.49 %-----------------------------------------------------
% 254.84/246.49 ncf(matrix, plain, [(940 ^ _303394) ^ [] : [-(perp(927 ^ [], 928 ^ [], 931 ^ [], 932 ^ []))], (120 ^ _303394) ^ [_308206, _308208, _308210, _308212] : [cyclic(_308212, _308210, _308208, _308206), -(cyclic(_308210, _308212, _308208, _308206))], (398 ^ _303394) ^ [_321061, _321063, _321065, _321067, _321069] : [-(eqangle(_321069, _321067, _321069, _321065, _321063, _321067, _321063, _321061)), circle(_321063, _321069, _321067, _321065), midp(_321061, _321067, _321065)], (272 ^ _303394) ^ [_316149, _316151, _316153, _316155, _316157, _316159, _316161, _316163, _316165] : [-(contri(_316165, _316163, _316161, _316153, _316151, _316149)), contri(_316165, _316163, _316161, _316159, _316157, _316155), contri(_316159, _316157, _316155, _316153, _316151, _316149)], (694 ^ _303394) ^ [_332749, _332751, _332753, _332755] : [701 ^ _303394 : [(702 ^ _303394) ^ [] : [-(coll(_332753, _332755, 692 ^ [_332749, _332751, _332753, _332755]))], (704 ^ _303394) ^ [] : [-(coll(692 ^ [_332749, _332751, _332753, _332755], _332751, _332749))]], perp(_332751, _332749, _332755, _332753), cong(_332751, _332755, _332751, _332753)], (944 ^ _303394) ^ [] : [-(perp(928 ^ [], 931 ^ [], 927 ^ [], 932 ^ []))], (58 ^ _303394) ^ [_305823, _305825, _305827, _305829, _305831, _305833] : [-(para(_305833, _305831, _305825, _305823)), perp(_305833, _305831, _305829, _305827), perp(_305829, _305827, _305825, _305823)], (36 ^ _303394) ^ [_304900, _304902, _304904, _304906, _304908, _304910] : [-(para(_304910, _304908, _304902, _304900)), para(_304910, _304908, _304906, _304904), para(_304906, _304904, _304902, _304900)], (204 ^ _303394) ^ [_312525, _312527, _312529, _312531, _312533, _312535, _312537, _312539] : [eqratio(_312539, _312537, _312535, _312533, _312531, _312529, _312527, _312525), -(eqratio(_312531, _312529, _312527, _312525, _312539, _312537, _312535, _312533))], (294 ^ _303394) ^ [_317182, _317184, _317186, _317188] : [cyclic(_317188, _317186, _317184, _317182), -(eqangle(_317184, _317188, _317184, _317186, _317182, _317188, _317182, _317186))], (572 ^ _303394) ^ [_327636, _327638, _327640] : [-(midp(_327640, _327638, _327636)), cong(_327640, _327638, _327640, _327636), coll(_327640, _327638, _327636)], (94 ^ _303394) ^ [_307216, _307218, _307220, _307222, _307224] : [-(cyclic(_307224, _307222, _307220, _307218)), cong(_307216, _307224, _307216, _307222), cong(_307216, _307224, _307216, _307220), cong(_307216, _307224, _307216, _307218)], (528 ^ _303394) ^ [_326073, _326075, _326077, _326079, _326081] : [-(para(_326081, _326077, _326079, _326075)), midp(_326073, _326081, _326079), midp(_326073, _326077, _326075)], (775 ^ _303394) ^ [_336371, _336373, _336375, _336377, _336379] : [782 ^ _303394 : [(787 ^ _303394) ^ [] : [-(cong(_336377, _336375, _336377, 773 ^ [_336371, _336373, _336375, _336377, _336379]))], (783 ^ _303394) ^ [] : [-(cong(_336371, _336375, _336371, 773 ^ [_336371, _336373, _336375, _336377, _336379]))], (785 ^ _303394) ^ [] : [-(para(773 ^ [_336371, _336373, _336375, _336377, _336379], _336375, _336379, _336377))]], cong(_336371, _336375, _336371, _336373), perp(_336379, _336377, _336377, _336371)], (408 ^ _303394) ^ [_321450, _321452, _321454, _321456, _321458] : [-(midp(_321450, _321456, _321454)), circle(_321452, _321458, _321456, _321454), coll(_321450, _321456, _321454), eqangle(_321458, _321456, _321458, _321454, _321452, _321456, _321452, _321450)], (908 ^ _303394) ^ [_342261, _342263, _342265, _342267, _342269, _342271] : [923 ^ _303394 : [(924 ^ _303394) ^ [] : [-(coll(_342263, _342261, 906 ^ [_342261, _342263, _342265, _342267, _342269, _342271]))], (926 ^ _303394) ^ [] : [-(coll(906 ^ [_342261, _342263, _342265, _342267, _342269, _342271], _342267, _342265))]], para(_342271, _342269, _342267, _342265), coll(_342263, _342271, _342267), coll(_342263, _342269, _342265), coll(_342261, _342271, _342269)], (368 ^ _303394) ^ [_319907, _319909, _319911] : [-(cong(_319907, _319911, _319907, _319909)), eqangle(_319907, _319911, _319911, _319909, _319911, _319909, _319907, _319909), -(coll(_319907, _319911, _319909))], (634 ^ _303394) ^ [_330121, _330123, _330125, _330127, _330129, _330131, _330133, _330135] : [-(perp(_330135, _330133, _330131, _330129)), eqangle(_330135, _330133, _330131, _330129, _330127, _330125, _330123, _330121), perp(_330127, _330125, _330123, _330121)], (244 ^ _303394) ^ [_314740, _314742, _314744, _314746, _314748, _314750, _314752, _314754, _314756] : [-(simtri(_314756, _314754, _314752, _314744, _314742, _314740)), simtri(_314756, _314754, _314752, _314750, _314748, _314746), simtri(_314750, _314748, _314746, _314744, _314742, _314740)], (512 ^ _303394) ^ [_325370, _325372, _325374, _325376, _325378, _325380] : [-(contri(_325380, _325378, _325376, _325374, _325372, _325370)), simtri(_325380, _325378, _325376, _325374, _325372, _325370), cong(_325380, _325378, _325374, _325372)], (238 ^ _303394) ^ [_314392, _314394, _314396, _314398, _314400, _314402] : [simtri(_314396, _314394, _314392, _314402, _314400, _314398), -(simtri(_314402, _314400, _314398, _314396, _314394, _314392))], (856 ^ _303394) ^ [_340100, _340102, _340104, _340106] : [-(circle(854 ^ [_340100, _340102, _340104, _340106], _340106, _340104, _340102)), perp(_340106, _340102, _340102, _340104), cyclic(_340106, _340104, _340102, _340100)], (2 ^ _303394) ^ [_303521, _303523, _303525] : [coll(_303525, _303523, _303521), -(coll(_303525, _303521, _303523))], (566 ^ _303394) ^ [_327400, _327402, _327404] : [para(_327404, _327402, _327404, _327400), -(coll(_327404, _327402, _327400))], (136 ^ _303394) ^ [_308903, _308905, _308907, _308909, _308911, _308913, _308915, _308917] : [eqangle(_308917, _308915, _308913, _308911, _308909, _308907, _308905, _308903), -(eqangle(_308915, _308917, _308913, _308911, _308909, _308907, _308905, _308903))], (880 ^ _303394) ^ [_341153, _341155, _341157, _341159, _341161] : [-(midp(878 ^ [_341153, _341155, _341157, _341159, _341161], _341161, _341157)), perp(_341161, _341159, _341161, _341157), perp(_341157, _341161, _341157, _341155), midp(_341153, _341159, _341155)], (950 ^ _303394) ^ [] : [-(perp(929 ^ [], 931 ^ [], 927 ^ [], 933 ^ []))], (472 ^ _303394) ^ [_323725, _323727, _323729, _323731] : [-(perp(_323727, _323731, _323731, _323725)), cong(_323731, _323727, _323729, _323727), cong(_323731, _323725, _323729, _323725), cyclic(_323731, _323729, _323727, _323725)], (216 ^ _303394) ^ [_313289, _313291, _313293, _313295, _313297, _313299, _313301, _313303, _313305, _313307, _313309, _313311] : [-(eqratio(_313311, _313309, _313307, _313305, _313303, _313301, _313299, _313297)), eqratio(_313311, _313309, _313307, _313305, _313295, _313293, _313291, _313289), eqratio(_313295, _313293, _313291, _313289, _313303, _313301, _313299, _313297)], (552 ^ _303394) ^ [_326936, _326938, _326940, _326942, _326944] : [-(eqratio(_326936, _326944, _326944, _326940, _326936, _326942, _326942, _326938)), para(_326944, _326942, _326940, _326938), coll(_326936, _326944, _326940), coll(_326936, _326942, _326938)], (24 ^ _303394) ^ [_304356, _304358, _304360, _304362] : [para(_304362, _304360, _304358, _304356), -(para(_304362, _304360, _304356, _304358))], (254 ^ _303394) ^ [_315189, _315191, _315193, _315195, _315197, _315199] : [contri(_315199, _315195, _315197, _315193, _315189, _315191), -(contri(_315199, _315197, _315195, _315193, _315191, _315189))], (938 ^ _303394) ^ [] : [-(circle(930 ^ [], 927 ^ [], 931 ^ [], 934 ^ []))], (442 ^ _303394) ^ [_322642, _322644, _322646, _322648] : [-(eqangle(_322648, _322642, _322644, _322642, _322644, _322642, _322644, _322646)), cyclic(_322648, _322646, _322644, _322642), para(_322648, _322646, _322644, _322642)], (841 ^ _303394) ^ [_339539, _339541, _339543, _339545, _339547] : [-(circle(839 ^ [_339539, _339541, _339543, _339545, _339547], _339547, _339545, _339543)), cyclic(_339547, _339545, _339543, _339541), para(_339547, _339545, _339543, _339541), midp(_339539, _339547, _339545)], (936 ^ _303394) ^ [] : [-(circle(930 ^ [], 927 ^ [], 928 ^ [], 929 ^ []))], (588 ^ _303394) ^ [_328203, _328205, _328207] : [midp(_328207, _328205, _328203), -(coll(_328207, _328205, _328203))], (108 ^ _303394) ^ [_307690, _307692, _307694, _307696] : [cyclic(_307696, _307694, _307692, _307690), -(cyclic(_307696, _307694, _307690, _307692))], (320 ^ _303394) ^ [_318209, _318211, _318213, _318215, _318217, _318219] : [-(cong(_318219, _318217, _318213, _318211)), cyclic(_318219, _318217, _318215, _318213), cyclic(_318219, _318217, _318215, _318211), cyclic(_318219, _318217, _318215, _318209), eqangle(_318215, _318219, _318215, _318217, _318209, _318213, _318209, _318211)], (644 ^ _303394) ^ [_330584, _330586, _330588, _330590, _330592, _330594, _330596, _330598] : [-(cong(_330598, _330596, _330594, _330592)), eqratio(_330598, _330596, _330594, _330592, _330590, _330588, _330586, _330584), cong(_330590, _330588, _330586, _330584)], (500 ^ _303394) ^ [_324750, _324752, _324754, _324756, _324758, _324760] : [simtri(_324760, _324758, _324756, _324754, _324752, _324750), -(eqratio(_324760, _324758, _324760, _324756, _324754, _324752, _324754, _324750))], (182 ^ _303394) ^ [_311382, _311384, _311386, _311388, _311390, _311392] : [-(cong(_311392, _311390, _311384, _311382)), cong(_311392, _311390, _311388, _311386), cong(_311388, _311386, _311384, _311382)], (754 ^ _303394) ^ [_335512, _335514, _335516, _335518, _335520, _335522, _335524] : [769 ^ _303394 : [(770 ^ _303394) ^ [] : [-(coll(752 ^ [_335512, _335514, _335516, _335518, _335520, _335522, _335524], _335524, _335516))], (772 ^ _303394) ^ [] : [-(coll(752 ^ [_335512, _335514, _335516, _335518, _335520, _335522, _335524], _335512, _335514))]], midp(_335512, _335524, _335522), para(_335524, _335518, _335514, _335512), para(_335524, _335518, _335522, _335516), coll(_335518, _335516, _335514)], (895 ^ _303394) ^ [_341703, _341705, _341707] : [902 ^ _303394 : [(903 ^ _303394) ^ [] : [-(coll(_341707, _341703, 893 ^ [_341703, _341705, _341707]))], (905 ^ _303394) ^ [] : [-(cong(_341703, _341707, _341703, 893 ^ [_341703, _341705, _341707]))]], cong(_341703, _341707, _341703, _341705), perp(_341707, _341703, _341703, _341705)], (624 ^ _303394) ^ [_329658, _329660, _329662, _329664, _329666, _329668, _329670, _329672] : [-(para(_329672, _329670, _329668, _329666)), eqangle(_329672, _329670, _329668, _329666, _329664, _329662, _329660, _329658), para(_329664, _329662, _329660, _329658)], (378 ^ _303394) ^ [_320279, _320281, _320283, _320285, _320287] : [-(eqangle(_320287, _320279, _320287, _320285, _320283, _320287, _320283, _320285)), circle(_320281, _320287, _320285, _320283), perp(_320281, _320287, _320287, _320279)], (288 ^ _303394) ^ [_316904, _316906, _316908, _316910, _316912, _316914] : [para(_316914, _316912, _316910, _316908), -(eqangle(_316914, _316912, _316906, _316904, _316910, _316908, _316906, _316904))], (614 ^ _303394) ^ [_329232, _329234, _329236, _329238] : [-(para(_329238, _329236, _329234, _329232)), eqangle(_329238, _329236, _329234, _329232, _329234, _329232, _329238, _329236), -(perp(_329238, _329236, _329234, _329232))], (720 ^ _303394) ^ [_333984, _333986, _333988, _333990, _333992, _333994] : [727 ^ _303394 : [(732 ^ _303394) ^ [] : [-(para(718 ^ [_333984, _333986, _333988, _333990, _333992, _333994], _333984, _333994, _333990))], (728 ^ _303394) ^ [] : [-(midp(718 ^ [_333984, _333986, _333988, _333990, _333992, _333994], _333994, _333988))], (730 ^ _303394) ^ [] : [-(para(718 ^ [_333984, _333986, _333988, _333990, _333992, _333994], _333986, _333992, _333988))]], midp(_333986, _333994, _333992), midp(_333984, _333990, _333988)], (232 ^ _303394) ^ [_314086, _314088, _314090, _314092, _314094, _314096] : [simtri(_314094, _314096, _314092, _314088, _314090, _314086), -(simtri(_314096, _314094, _314092, _314090, _314088, _314086))], (126 ^ _303394) ^ [_308478, _308480, _308482, _308484, _308486] : [-(cyclic(_308484, _308482, _308480, _308478)), cyclic(_308486, _308484, _308482, _308480), cyclic(_308486, _308484, _308482, _308478)], (735 ^ _303394) ^ [_334742, _334744, _334746, _334748, _334750, _334752, _334754] : [-(midp(733 ^ [_334742, _334744, _334746, _334748, _334750, _334752, _334754], _334754, _334742)), midp(_334746, _334754, _334752), midp(_334744, _334750, _334748), coll(_334750, _334754, _334752), coll(_334748, _334754, _334752)], (114 ^ _303394) ^ [_307948, _307950, _307952, _307954] : [cyclic(_307954, _307952, _307950, _307948), -(cyclic(_307954, _307950, _307952, _307948))], (210 ^ _303394) ^ [_312879, _312881, _312883, _312885, _312887, _312889, _312891, _312893] : [eqratio(_312893, _312891, _312889, _312887, _312885, _312883, _312881, _312879), -(eqratio(_312893, _312891, _312885, _312883, _312889, _312887, _312881, _312879))], (310 ^ _303394) ^ [_317816, _317818, _317820, _317822] : [-(cyclic(_317822, _317820, _317818, _317816)), eqangle(_317818, _317822, _317818, _317820, _317816, _317822, _317816, _317820), coll(_317818, _317816, _317820)], (148 ^ _303394) ^ [_309611, _309613, _309615, _309617, _309619, _309621, _309623, _309625] : [eqangle(_309625, _309623, _309621, _309619, _309617, _309615, _309613, _309611), -(eqangle(_309617, _309615, _309613, _309611, _309625, _309623, _309621, _309619))], (604 ^ _303394) ^ [_328862, _328864, _328866, _328868] : [-(perp(_328868, _328866, _328864, _328862)), eqangle(_328868, _328866, _328864, _328862, _328864, _328862, _328868, _328866), -(para(_328868, _328866, _328864, _328862))], (388 ^ _303394) ^ [_320670, _320672, _320674, _320676, _320678] : [-(perp(_320672, _320678, _320678, _320670)), circle(_320672, _320678, _320676, _320674), eqangle(_320678, _320670, _320678, _320676, _320674, _320678, _320674, _320676)], (506 ^ _303394) ^ [_325060, _325062, _325064, _325066, _325068, _325070] : [simtri(_325070, _325068, _325066, _325064, _325062, _325060), -(eqangle(_325070, _325068, _325068, _325066, _325064, _325062, _325062, _325060))], (808 ^ _303394) ^ [_337929, _337931, _337933, _337935] : [circle(_337929, _337935, _337933, _337931), -(perp(806 ^ [_337929, _337931, _337933, _337935], _337935, _337935, _337929))], (8 ^ _303394) ^ [_303755, _303757, _303759] : [coll(_303759, _303757, _303755), -(coll(_303757, _303759, _303755))], (160 ^ _303394) ^ [_310375, _310377, _310379, _310381, _310383, _310385, _310387, _310389, _310391, _310393, _310395, _310397] : [-(eqangle(_310397, _310395, _310393, _310391, _310381, _310379, _310377, _310375)), eqangle(_310397, _310395, _310393, _310391, _310389, _310387, _310385, _310383), eqangle(_310389, _310387, _310385, _310383, _310381, _310379, _310377, _310375)], (522 ^ _303394) ^ [_325785, _325787, _325789, _325791, _325793, _325795] : [contri(_325795, _325793, _325791, _325789, _325787, _325785), -(cong(_325795, _325793, _325789, _325787))], (282 ^ _303394) ^ [_316598, _316600, _316602, _316604, _316606, _316608] : [eqangle(_316608, _316606, _316600, _316598, _316604, _316602, _316600, _316598), -(para(_316608, _316606, _316604, _316602))], (52 ^ _303394) ^ [_305537, _305539, _305541, _305543] : [perp(_305543, _305541, _305539, _305537), -(perp(_305539, _305537, _305543, _305541))], (226 ^ _303394) ^ [_313780, _313782, _313784, _313786, _313788, _313790] : [simtri(_313790, _313786, _313788, _313784, _313780, _313782), -(simtri(_313790, _313788, _313786, _313784, _313782, _313780))], (452 ^ _303394) ^ [_323009, _323011, _323013, _323015] : [-(cong(_323009, _323015, _323009, _323013)), midp(_323011, _323015, _323013), perp(_323009, _323011, _323015, _323013)], (362 ^ _303394) ^ [_319661, _319663, _319665] : [cong(_319661, _319665, _319661, _319663), -(eqangle(_319661, _319665, _319665, _319663, _319665, _319663, _319661, _319663))], (816 ^ _303394) ^ [_338482, _338484, _338486, _338488, _338490, _338492] : [831 ^ _303394 : [(832 ^ _303394) ^ [] : [-(coll(813 ^ [_338482, _338484, _338486, _338488, _338490, _338492], _338492, _338488))], (834 ^ _303394) ^ [] : [-(cong(813 ^ [_338482, _338484, _338486, _338488, _338490, _338492], _338482, _338482, _338492))], (836 ^ _303394) ^ [] : [-(coll(814 ^ [_338482, _338484, _338486, _338488, _338490, _338492], _338490, _338486))], (838 ^ _303394) ^ [] : [-(cong(814 ^ [_338482, _338484, _338486, _338488, _338490, _338492], _338482, _338482, _338492))]], circle(_338484, _338492, _338490, _338488), cong(_338484, _338492, _338484, _338486), cong(_338482, _338492, _338482, _338490), -(_338484 = _338482)], (538 ^ _303394) ^ [_326452, _326454, _326456, _326458, _326460] : [-(midp(_326452, _326456, _326454)), midp(_326452, _326460, _326458), para(_326460, _326456, _326458, _326454), para(_326460, _326454, _326458, _326456)], (942 ^ _303394) ^ [] : [-(perp(927 ^ [], 931 ^ [], 928 ^ [], 932 ^ []))], (432 ^ _303394) ^ [_322285, _322287, _322289, _322291] : [-(perp(_322291, _322289, _322289, _322287)), circle(_322285, _322291, _322289, _322287), coll(_322285, _322291, _322287)], (668 ^ _303394) ^ [_331627, _331629, _331631, _331633] : [675 ^ _303394 : [(676 ^ _303394) ^ [] : [-(coll(_331631, _331633, 666 ^ [_331627, _331629, _331631, _331633]))], (678 ^ _303394) ^ [] : [-(coll(666 ^ [_331627, _331629, _331631, _331633], _331629, _331627))]], cong(_331629, _331633, _331629, _331631), eqangle(_331633, _331629, _331629, _331627, _331629, _331627, _331629, _331631)], (154 ^ _303394) ^ [_309965, _309967, _309969, _309971, _309973, _309975, _309977, _309979] : [eqangle(_309979, _309977, _309975, _309973, _309971, _309969, _309967, _309965), -(eqangle(_309979, _309977, _309971, _309969, _309975, _309973, _309967, _309965))], (582 ^ _303394) ^ [_327967, _327969, _327971] : [midp(_327971, _327969, _327967), -(cong(_327971, _327969, _327971, _327967))], (948 ^ _303394) ^ [] : [-(perp(927 ^ [], 931 ^ [], 929 ^ [], 933 ^ []))], (655 ^ _303394) ^ [_331064, _331066, _331068, _331070] : [662 ^ _303394 : [(663 ^ _303394) ^ [] : [-(coll(653 ^ [_331064, _331066, _331068, _331070], _331070, _331068))], (665 ^ _303394) ^ [] : [-(coll(653 ^ [_331064, _331066, _331068, _331070], _331066, _331064))]], perp(_331066, _331068, _331068, _331070), eqangle(_331064, _331066, _331068, _331066, _331068, _331066, _331070, _331066)], (300 ^ _303394) ^ [_317448, _317450, _317452, _317454] : [-(cyclic(_317454, _317452, _317450, _317448)), eqangle(_317450, _317454, _317450, _317452, _317448, _317454, _317448, _317452), -(coll(_317450, _317448, _317454))], (46 ^ _303394) ^ [_305279, _305281, _305283, _305285] : [perp(_305285, _305283, _305281, _305279), -(perp(_305285, _305283, _305279, _305281))], (192 ^ _303394) ^ [_311817, _311819, _311821, _311823, _311825, _311827, _311829, _311831] : [eqratio(_311831, _311829, _311827, _311825, _311823, _311821, _311819, _311817), -(eqratio(_311829, _311831, _311827, _311825, _311823, _311821, _311819, _311817))], (422 ^ _303394) ^ [_321928, _321930, _321932, _321934] : [-(cong(_321934, _321928, _321932, _321928)), perp(_321934, _321932, _321932, _321930), midp(_321928, _321934, _321930)], (142 ^ _303394) ^ [_309257, _309259, _309261, _309263, _309265, _309267, _309269, _309271] : [eqangle(_309271, _309269, _309267, _309265, _309263, _309261, _309259, _309257), -(eqangle(_309267, _309265, _309271, _309269, _309259, _309257, _309263, _309261))], (68 ^ _303394) ^ [_306230, _306232, _306234, _306236, _306238, _306240] : [-(perp(_306240, _306238, _306232, _306230)), para(_306240, _306238, _306236, _306234), perp(_306236, _306234, _306232, _306230)], (594 ^ _303394) ^ [_328479, _328481, _328483, _328485, _328487, _328489] : [-(eqratio(_328481, _328489, _328489, _328487, _328479, _328485, _328485, _328483)), midp(_328481, _328489, _328487), midp(_328479, _328485, _328483)], (462 ^ _303394) ^ [_323366, _323368, _323370, _323372] : [-(perp(_323372, _323370, _323368, _323366)), cong(_323372, _323368, _323370, _323368), cong(_323372, _323366, _323370, _323366)], (867 ^ _303394) ^ [_340566, _340568, _340570, _340572, _340574] : [874 ^ _303394 : [(875 ^ _303394) ^ [] : [-(coll(865 ^ [_340566, _340568, _340570, _340572, _340574], _340568, _340566))], (877 ^ _303394) ^ [] : [-(perp(865 ^ [_340566, _340568, _340570, _340572, _340574], _340574, _340568, _340566))]], perp(_340574, _340570, _340570, _340572), coll(_340572, _340568, _340566)], (681 ^ _303394) ^ [_332190, _332192, _332194, _332196] : [688 ^ _303394 : [(689 ^ _303394) ^ [] : [-(coll(_332194, _332196, 679 ^ [_332190, _332192, _332194, _332196]))], (691 ^ _303394) ^ [] : [-(coll(679 ^ [_332190, _332192, _332194, _332196], _332192, _332190))]], perp(_332192, _332190, _332196, _332194), eqangle(_332196, _332192, _332192, _332190, _332192, _332190, _332192, _332194)], (266 ^ _303394) ^ [_315801, _315803, _315805, _315807, _315809, _315811] : [contri(_315805, _315803, _315801, _315811, _315809, _315807), -(contri(_315811, _315809, _315807, _315805, _315803, _315801))], (30 ^ _303394) ^ [_304614, _304616, _304618, _304620] : [para(_304620, _304618, _304616, _304614), -(para(_304616, _304614, _304620, _304618))], (707 ^ _303394) ^ [_333327, _333329, _333331, _333333, _333335] : [714 ^ _303394 : [(715 ^ _303394) ^ [] : [-(eqangle(_333335, _333331, _333333, _333331, _333335, 705 ^ [_333327, _333329, _333331, _333333, _333335], _333333, 705 ^ [_333327, _333329, _333331, _333333, _333335]))], (717 ^ _303394) ^ [] : [-(cyclic(_333329, _333333, _333331, 705 ^ [_333327, _333329, _333331, _333333, _333335]))]], eqangle(_333335, _333331, _333333, _333331, _333335, _333329, _333333, _333327), -(coll(_333335, _333333, _333331))], (170 ^ _303394) ^ [_310838, _310840, _310842, _310844] : [cong(_310844, _310842, _310840, _310838), -(cong(_310844, _310842, _310838, _310840))], (952 ^ _303394) ^ [] : [cyclic(927 ^ [], 932 ^ [], 931 ^ [], 933 ^ [])], (84 ^ _303394) ^ [_306843, _306845, _306847, _306849] : [-(circle(_306843, _306849, _306847, _306845)), cong(_306843, _306849, _306843, _306847), cong(_306843, _306849, _306843, _306845)], (486 ^ _303394) ^ [_324213, _324215, _324217, _324219, _324221, _324223] : [-(simtri(_324223, _324221, _324219, _324217, _324215, _324213)), eqangle(_324223, _324221, _324221, _324219, _324217, _324215, _324215, _324213), eqangle(_324223, _324219, _324221, _324219, _324217, _324213, _324215, _324213), -(coll(_324223, _324221, _324219))], (198 ^ _303394) ^ [_312171, _312173, _312175, _312177, _312179, _312181, _312183, _312185] : [eqratio(_312185, _312183, _312181, _312179, _312177, _312175, _312173, _312171), -(eqratio(_312181, _312179, _312185, _312183, _312173, _312171, _312177, _312175))], (946 ^ _303394) ^ [] : [-(perp(927 ^ [], 929 ^ [], 931 ^ [], 933 ^ []))], (14 ^ _303394) ^ [_304003, _304005, _304007, _304009] : [-(coll(_304005, _304003, _304009)), coll(_304009, _304007, _304005), coll(_304009, _304007, _304003)], (78 ^ _303394) ^ [_306595, _306597, _306599] : [midp(_306595, _306597, _306599), -(midp(_306595, _306599, _306597))], (791 ^ _303394) ^ [_337184, _337186, _337188, _337190] : [798 ^ _303394 : [(799 ^ _303394) ^ [] : [-(coll(788 ^ [_337184, _337186, _337188, _337190], _337186, _337188))], (801 ^ _303394) ^ [] : [-(perp(_337190, 788 ^ [_337184, _337186, _337188, _337190], _337186, _337188))], (803 ^ _303394) ^ [] : [-(coll(789 ^ [_337184, _337186, _337188, _337190], _337186, _337190))], (805 ^ _303394) ^ [] : [-(perp(_337188, 789 ^ [_337184, _337186, _337188, _337190], _337186, _337190))]], perp(_337190, _337184, _337188, _337186), perp(_337188, _337184, _337190, _337186)], (176 ^ _303394) ^ [_311096, _311098, _311100, _311102] : [cong(_311102, _311100, _311098, _311096), -(cong(_311098, _311096, _311102, _311100))], (338 ^ _303394) ^ [_318828, _318830, _318832, _318834, _318836] : [-(para(_318830, _318828, _318834, _318832)), midp(_318830, _318836, _318834), midp(_318828, _318836, _318832)], (348 ^ _303394) ^ [_319207, _319209, _319211, _319213, _319215] : [-(midp(_319207, _319215, _319211)), midp(_319209, _319215, _319213), para(_319209, _319207, _319213, _319211), coll(_319207, _319215, _319211)], (260 ^ _303394) ^ [_315495, _315497, _315499, _315501, _315503, _315505] : [contri(_315503, _315505, _315501, _315497, _315499, _315495), -(contri(_315505, _315503, _315501, _315499, _315497, _315495))]], input).
% 254.84/246.49 ncf('1',plain,[cyclic(927 ^ [], 932 ^ [], 931 ^ [], 933 ^ [])],start(952 ^ 0)).
% 254.84/246.49 ncf('1.1',plain,[-(cyclic(927 ^ [], 932 ^ [], 931 ^ [], 933 ^ [])), cyclic(932 ^ [], 927 ^ [], 931 ^ [], 933 ^ [])],extension(120 ^ 1,bind([[_308206, _308208, _308210, _308212], [933 ^ [], 931 ^ [], 927 ^ [], 932 ^ []]]))).
% 254.84/246.49 ncf('1.1.1',plain,[-(cyclic(932 ^ [], 927 ^ [], 931 ^ [], 933 ^ [])), cyclic(932 ^ [], 932 ^ [], 927 ^ [], 931 ^ []), cyclic(932 ^ [], 932 ^ [], 927 ^ [], 933 ^ [])],extension(126 ^ 2,bind([[_308478, _308480, _308482, _308484, _308486], [933 ^ [], 931 ^ [], 927 ^ [], 932 ^ [], 932 ^ []]]))).
% 254.84/246.49 ncf('1.1.1.1',plain,[-(cyclic(932 ^ [], 932 ^ [], 927 ^ [], 931 ^ [])), eqangle(927 ^ [], 932 ^ [], 927 ^ [], 932 ^ [], 931 ^ [], 932 ^ [], 931 ^ [], 932 ^ []), coll(927 ^ [], 931 ^ [], 932 ^ [])],extension(310 ^ 3,bind([[_317816, _317818, _317820, _317822], [931 ^ [], 927 ^ [], 932 ^ [], 932 ^ []]]))).
% 254.84/246.49 ncf('1.1.1.1.1',plain,[-(eqangle(927 ^ [], 932 ^ [], 927 ^ [], 932 ^ [], 931 ^ [], 932 ^ [], 931 ^ [], 932 ^ [])), eqangle(927 ^ [], 932 ^ [], 931 ^ [], 932 ^ [], 927 ^ [], 932 ^ [], 931 ^ [], 932 ^ [])],extension(154 ^ 4,bind([[_309965, _309967, _309969, _309971, _309973, _309975, _309977, _309979], [932 ^ [], 931 ^ [], 932 ^ [], 927 ^ [], 932 ^ [], 931 ^ [], 932 ^ [], 927 ^ []]]))).
% 254.84/246.49 ncf('1.1.1.1.1.1',plain,[-(eqangle(927 ^ [], 932 ^ [], 931 ^ [], 932 ^ [], 927 ^ [], 932 ^ [], 931 ^ [], 932 ^ [])), para(927 ^ [], 932 ^ [], 927 ^ [], 932 ^ [])],extension(288 ^ 5,bind([[_316904, _316906, _316908, _316910, _316912, _316914], [932 ^ [], 931 ^ [], 932 ^ [], 927 ^ [], 932 ^ [], 927 ^ []]]))).
% 254.84/246.49 ncf('1.1.1.1.1.1.1',plain,[-(para(927 ^ [], 932 ^ [], 927 ^ [], 932 ^ [])), perp(927 ^ [], 932 ^ [], 928 ^ [], 931 ^ []), perp(928 ^ [], 931 ^ [], 927 ^ [], 932 ^ [])],extension(58 ^ 6,bind([[_305823, _305825, _305827, _305829, _305831, _305833], [932 ^ [], 927 ^ [], 931 ^ [], 928 ^ [], 932 ^ [], 927 ^ []]]))).
% 254.84/246.49 ncf('1.1.1.1.1.1.1.1',plain,[-(perp(927 ^ [], 932 ^ [], 928 ^ [], 931 ^ [])), perp(928 ^ [], 931 ^ [], 927 ^ [], 932 ^ [])],extension(52 ^ 7,bind([[_305537, _305539, _305541, _305543], [932 ^ [], 927 ^ [], 931 ^ [], 928 ^ []]]))).
% 254.84/246.49 ncf('1.1.1.1.1.1.1.1.1',plain,[-(perp(928 ^ [], 931 ^ [], 927 ^ [], 932 ^ []))],extension(944 ^ 8)).
% 254.84/246.49 ncf('1.1.1.1.1.1.1.2',plain,[-(perp(928 ^ [], 931 ^ [], 927 ^ [], 932 ^ []))],extension(944 ^ 7)).
% 254.84/246.49 ncf('1.1.1.1.2',plain,[-(coll(927 ^ [], 931 ^ [], 932 ^ [])), coll(931 ^ [], 927 ^ [], 932 ^ [])],extension(8 ^ 4,bind([[_303755, _303757, _303759], [932 ^ [], 927 ^ [], 931 ^ []]]))).
% 254.84/246.49 ncf('1.1.1.1.2.1',plain,[-(coll(931 ^ [], 927 ^ [], 932 ^ [])), -(cyclic(932 ^ [], 932 ^ [], 931 ^ [], 927 ^ [])), eqangle(931 ^ [], 932 ^ [], 931 ^ [], 932 ^ [], 927 ^ [], 932 ^ [], 927 ^ [], 932 ^ [])],extension(300 ^ 5,bind([[_317448, _317450, _317452, _317454], [927 ^ [], 931 ^ [], 932 ^ [], 932 ^ []]]))).
% 254.84/246.49 ncf('1.1.1.1.2.1.1',plain,[cyclic(932 ^ [], 932 ^ [], 931 ^ [], 927 ^ []), -(cyclic(932 ^ [], 932 ^ [], 931 ^ [], 927 ^ []))],extension(120 ^ 6,bind([[_308206, _308208, _308210, _308212], [927 ^ [], 931 ^ [], 932 ^ [], 932 ^ []]]))).
% 254.84/246.49 ncf('1.1.1.1.2.1.1.1',plain,[cyclic(932 ^ [], 932 ^ [], 931 ^ [], 927 ^ []), -(cyclic(932 ^ [], 932 ^ [], 927 ^ [], 931 ^ []))],extension(108 ^ 7,bind([[_307690, _307692, _307694, _307696], [927 ^ [], 931 ^ [], 932 ^ [], 932 ^ []]]))).
% 254.84/246.49 ncf('1.1.1.1.2.1.1.1.1',plain,[cyclic(932 ^ [], 932 ^ [], 927 ^ [], 931 ^ [])],reduction('1.1.1')).
% 254.84/246.49 ncf('1.1.1.1.2.1.2',plain,[-(eqangle(931 ^ [], 932 ^ [], 931 ^ [], 932 ^ [], 927 ^ [], 932 ^ [], 927 ^ [], 932 ^ [])), eqangle(927 ^ [], 932 ^ [], 927 ^ [], 932 ^ [], 931 ^ [], 932 ^ [], 931 ^ [], 932 ^ [])],extension(148 ^ 6,bind([[_309611, _309613, _309615, _309617, _309619, _309621, _309623, _309625], [932 ^ [], 931 ^ [], 932 ^ [], 931 ^ [], 932 ^ [], 927 ^ [], 932 ^ [], 927 ^ []]]))).
% 254.84/246.49 ncf('1.1.1.1.2.1.2.1',plain,[-(eqangle(927 ^ [], 932 ^ [], 927 ^ [], 932 ^ [], 931 ^ [], 932 ^ [], 931 ^ [], 932 ^ []))],lemmata('[1, 1, 1].x')).
% 254.84/246.49 ncf('1.1.1.2',plain,[-(cyclic(932 ^ [], 932 ^ [], 927 ^ [], 933 ^ [])), eqangle(927 ^ [], 932 ^ [], 927 ^ [], 932 ^ [], 933 ^ [], 932 ^ [], 933 ^ [], 932 ^ []), coll(927 ^ [], 933 ^ [], 932 ^ [])],extension(310 ^ 3,bind([[_317816, _317818, _317820, _317822], [933 ^ [], 927 ^ [], 932 ^ [], 932 ^ []]]))).
% 254.84/246.49 ncf('1.1.1.2.1',plain,[-(eqangle(927 ^ [], 932 ^ [], 927 ^ [], 932 ^ [], 933 ^ [], 932 ^ [], 933 ^ [], 932 ^ [])), eqangle(927 ^ [], 932 ^ [], 933 ^ [], 932 ^ [], 927 ^ [], 932 ^ [], 933 ^ [], 932 ^ [])],extension(154 ^ 4,bind([[_309965, _309967, _309969, _309971, _309973, _309975, _309977, _309979], [932 ^ [], 933 ^ [], 932 ^ [], 927 ^ [], 932 ^ [], 933 ^ [], 932 ^ [], 927 ^ []]]))).
% 254.84/246.49 ncf('1.1.1.2.1.1',plain,[-(eqangle(927 ^ [], 932 ^ [], 933 ^ [], 932 ^ [], 927 ^ [], 932 ^ [], 933 ^ [], 932 ^ [])), para(927 ^ [], 932 ^ [], 927 ^ [], 932 ^ [])],extension(288 ^ 5,bind([[_316904, _316906, _316908, _316910, _316912, _316914], [932 ^ [], 933 ^ [], 932 ^ [], 927 ^ [], 932 ^ [], 927 ^ []]]))).
% 254.84/246.49 ncf('1.1.1.2.1.1.1',plain,[-(para(927 ^ [], 932 ^ [], 927 ^ [], 932 ^ [])), perp(927 ^ [], 932 ^ [], 928 ^ [], 931 ^ []), perp(928 ^ [], 931 ^ [], 927 ^ [], 932 ^ [])],extension(58 ^ 6,bind([[_305823, _305825, _305827, _305829, _305831, _305833], [932 ^ [], 927 ^ [], 931 ^ [], 928 ^ [], 932 ^ [], 927 ^ []]]))).
% 254.84/246.49 ncf('1.1.1.2.1.1.1.1',plain,[-(perp(927 ^ [], 932 ^ [], 928 ^ [], 931 ^ [])), perp(928 ^ [], 931 ^ [], 927 ^ [], 932 ^ [])],extension(52 ^ 7,bind([[_305537, _305539, _305541, _305543], [932 ^ [], 927 ^ [], 931 ^ [], 928 ^ []]]))).
% 254.84/246.49 ncf('1.1.1.2.1.1.1.1.1',plain,[-(perp(928 ^ [], 931 ^ [], 927 ^ [], 932 ^ []))],extension(944 ^ 8)).
% 254.84/246.49 ncf('1.1.1.2.1.1.1.2',plain,[-(perp(928 ^ [], 931 ^ [], 927 ^ [], 932 ^ []))],extension(944 ^ 7)).
% 254.84/246.49 ncf('1.1.1.2.2',plain,[-(coll(927 ^ [], 933 ^ [], 932 ^ [])), coll(933 ^ [], 927 ^ [], 932 ^ [])],extension(8 ^ 4,bind([[_303755, _303757, _303759], [932 ^ [], 927 ^ [], 933 ^ []]]))).
% 254.84/246.49 ncf('1.1.1.2.2.1',plain,[-(coll(933 ^ [], 927 ^ [], 932 ^ [])), -(cyclic(932 ^ [], 932 ^ [], 933 ^ [], 927 ^ [])), eqangle(933 ^ [], 932 ^ [], 933 ^ [], 932 ^ [], 927 ^ [], 932 ^ [], 927 ^ [], 932 ^ [])],extension(300 ^ 5,bind([[_317448, _317450, _317452, _317454], [927 ^ [], 933 ^ [], 932 ^ [], 932 ^ []]]))).
% 254.84/246.49 ncf('1.1.1.2.2.1.1',plain,[cyclic(932 ^ [], 932 ^ [], 933 ^ [], 927 ^ []), -(cyclic(932 ^ [], 932 ^ [], 933 ^ [], 927 ^ []))],extension(120 ^ 6,bind([[_308206, _308208, _308210, _308212], [927 ^ [], 933 ^ [], 932 ^ [], 932 ^ []]]))).
% 254.84/246.49 ncf('1.1.1.2.2.1.1.1',plain,[cyclic(932 ^ [], 932 ^ [], 933 ^ [], 927 ^ []), -(cyclic(932 ^ [], 932 ^ [], 927 ^ [], 933 ^ []))],extension(108 ^ 7,bind([[_307690, _307692, _307694, _307696], [927 ^ [], 933 ^ [], 932 ^ [], 932 ^ []]]))).
% 254.84/246.49 ncf('1.1.1.2.2.1.1.1.1',plain,[cyclic(932 ^ [], 932 ^ [], 927 ^ [], 933 ^ [])],reduction('1.1.1')).
% 254.84/246.49 ncf('1.1.1.2.2.1.2',plain,[-(eqangle(933 ^ [], 932 ^ [], 933 ^ [], 932 ^ [], 927 ^ [], 932 ^ [], 927 ^ [], 932 ^ [])), eqangle(927 ^ [], 932 ^ [], 927 ^ [], 932 ^ [], 933 ^ [], 932 ^ [], 933 ^ [], 932 ^ [])],extension(148 ^ 6,bind([[_309611, _309613, _309615, _309617, _309619, _309621, _309623, _309625], [932 ^ [], 933 ^ [], 932 ^ [], 933 ^ [], 932 ^ [], 927 ^ [], 932 ^ [], 927 ^ []]]))).
% 254.84/246.49 ncf('1.1.1.2.2.1.2.1',plain,[-(eqangle(927 ^ [], 932 ^ [], 927 ^ [], 932 ^ [], 933 ^ [], 932 ^ [], 933 ^ [], 932 ^ []))],lemmata('[1, 1, 1].x')).
% 254.84/246.49 %-----------------------------------------------------
% 254.84/246.49 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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