%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO237+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n026.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 11:12:19 EDT 2023

% Result   : Theorem 0.34s 1.39s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GEO237+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13  % Command  : nanocop.sh %s %d
% 0.14/0.34  % Computer : n026.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri May 19 04:48:20 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.34/1.39  
% 0.34/1.39  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.39  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.39  %-----------------------------------------------------
% 0.34/1.39  ncf(matrix, plain, [(440 ^ _57108) ^ [] : [-(apart_point_and_line(437 ^ [], 438 ^ []))], (442 ^ _57108) ^ [] : [-(divides_points(438 ^ [], 435 ^ [], 436 ^ []))], (444 ^ _57108) ^ [] : [divides_points(438 ^ [], 435 ^ [], 437 ^ [])], (446 ^ _57108) ^ [] : [divides_points(438 ^ [], 436 ^ [], 437 ^ [])], (2 ^ _57108) ^ [_57250, _57252] : [unequally_directed_opposite_lines(_57252, _57250), -(unequally_directed_lines(_57252, reverse_line(_57250)))], (8 ^ _57108) ^ [_57416, _57418] : [unequally_directed_lines(_57418, reverse_line(_57416)), -(unequally_directed_opposite_lines(_57418, _57416))], (14 ^ _57108) ^ [_57661, _57663] : [right_apart_point(_57663, _57661), -(left_apart_point(_57663, reverse_line(_57661)))], (20 ^ _57108) ^ [_57827, _57829] : [left_apart_point(_57829, reverse_line(_57827)), -(right_apart_point(_57829, _57827))], (26 ^ _57108) ^ [_58072, _58074] : [right_convergent_lines(_58074, _58072), -(left_convergent_lines(_58074, reverse_line(_58072)))], (32 ^ _57108) ^ [_58238, _58240] : [left_convergent_lines(_58240, reverse_line(_58238)), -(right_convergent_lines(_58240, _58238))], (38 ^ _57108) ^ [_58483, _58485] : [equally_directed_lines(_58485, _58483), unequally_directed_lines(_58485, _58483)], (44 ^ _57108) ^ [_58646, _58648] : [-(unequally_directed_lines(_58648, _58646)), -(equally_directed_lines(_58648, _58646))], (50 ^ _57108) ^ [_58890, _58892] : [equally_directed_opposite_lines(_58892, _58890), unequally_directed_opposite_lines(_58892, _58890)], (56 ^ _57108) ^ [_59053, _59055] : [-(unequally_directed_opposite_lines(_59055, _59053)), -(equally_directed_opposite_lines(_59055, _59053))], (72 ^ _57108) ^ [_59549, _59551] : [73 ^ _57108 : [(74 ^ _57108) ^ [] : [left_apart_point(_59551, _59549)], (76 ^ _57108) ^ [] : [right_apart_point(_59551, _59549)]], -(apart_point_and_line(_59551, _59549))], (62 ^ _57108) ^ [_59297, _59299] : [apart_point_and_line(_59299, _59297), -(left_apart_point(_59299, _59297)), -(right_apart_point(_59299, _59297))], (80 ^ _57108) ^ [_59864, _59866] : [convergent_lines(_59866, _59864), 83 ^ _57108 : [(84 ^ _57108) ^ [] : [-(unequally_directed_lines(_59866, _59864))], (86 ^ _57108) ^ [] : [-(unequally_directed_opposite_lines(_59866, _59864))]]], (88 ^ _57108) ^ [_60101, _60103] : [-(convergent_lines(_60103, _60101)), unequally_directed_lines(_60103, _60101), unequally_directed_opposite_lines(_60103, _60101)], (98 ^ _57108) ^ [_60445, _60447, _60449] : [divides_points(_60445, _60449, _60447), 103 ^ _57108 : [(104 ^ _57108) ^ [] : [-(left_apart_point(_60449, _60445))], (106 ^ _57108) ^ [] : [-(right_apart_point(_60447, _60445))]], 107 ^ _57108 : [(108 ^ _57108) ^ [] : [-(right_apart_point(_60449, _60445))], (110 ^ _57108) ^ [] : [-(left_apart_point(_60447, _60445))]]], (112 ^ _57108) ^ [_60863, _60865, _60867] : [-(divides_points(_60863, _60867, _60865)), 113 ^ _57108 : [(114 ^ _57108) ^ [] : [left_apart_point(_60867, _60863), right_apart_point(_60865, _60863)], (120 ^ _57108) ^ [] : [right_apart_point(_60867, _60863), left_apart_point(_60865, _60863)]]], (128 ^ _57108) ^ [_61388, _61390, _61392] : [before_on_line(_61392, _61390, _61388), 131 ^ _57108 : [(132 ^ _57108) ^ [] : [-(distinct_points(_61390, _61388))], (134 ^ _57108) ^ [] : [-(incident_point_and_line(_61390, _61392))], (136 ^ _57108) ^ [] : [-(incident_point_and_line(_61388, _61392))], (138 ^ _57108) ^ [] : [-(equally_directed_lines(_61392, line_connecting(_61390, _61388)))]]], (140 ^ _57108) ^ [_61793, _61795, _61797] : [-(before_on_line(_61797, _61795, _61793)), distinct_points(_61795, _61793), incident_point_and_line(_61795, _61797), incident_point_and_line(_61793, _61797), equally_directed_lines(_61797, line_connecting(_61795, _61793))], (158 ^ _57108) ^ [_62355, _62357, _62359, _62361] : [between_on_line(_62361, _62359, _62357, _62355), 163 ^ _57108 : [(164 ^ _57108) ^ [] : [-(before_on_line(_62361, _62359, _62357))], (166 ^ _57108) ^ [] : [-(before_on_line(_62361, _62357, _62355))]], 167 ^ _57108 : [(168 ^ _57108) ^ [] : [-(before_on_line(_62361, _62355, _62357))], (170 ^ _57108) ^ [] : [-(before_on_line(_62361, _62357, _62359))]]], (172 ^ _57108) ^ [_62797, _62799, _62801, _62803] : [-(between_on_line(_62803, _62801, _62799, _62797)), 173 ^ _57108 : [(174 ^ _57108) ^ [] : [before_on_line(_62803, _62801, _62799), before_on_line(_62803, _62799, _62797)], (180 ^ _57108) ^ [] : [before_on_line(_62803, _62797, _62799), before_on_line(_62803, _62799, _62801)]]], (188 ^ _57108) ^ [_63275] : [distinct_points(_63275, _63275)], (190 ^ _57108) ^ [_63396, _63398, _63400] : [distinct_points(_63400, _63398), -(distinct_points(_63400, _63396)), -(distinct_points(_63398, _63396))], (200 ^ _57108) ^ [_63676] : [distinct_lines(_63676, _63676)], (202 ^ _57108) ^ [_63797, _63799, _63801] : [distinct_lines(_63801, _63799), -(distinct_lines(_63801, _63797)), -(distinct_lines(_63799, _63797))], (212 ^ _57108) ^ [_64078] : [-(equally_directed_lines(_64078, _64078))], (214 ^ _57108) ^ [_64199, _64201, _64203] : [unequally_directed_lines(_64203, _64201), -(unequally_directed_lines(_64203, _64199)), -(unequally_directed_lines(_64201, _64199))], (224 ^ _57108) ^ [_64523, _64525, _64527] : [unequally_directed_lines(_64527, _64525), unequally_directed_lines(_64527, reverse_line(_64525)), 233 ^ _57108 : [(234 ^ _57108) ^ [] : [-(unequally_directed_lines(_64527, _64523))], (236 ^ _57108) ^ [] : [-(unequally_directed_lines(_64527, reverse_line(_64523)))]], 237 ^ _57108 : [(238 ^ _57108) ^ [] : [-(unequally_directed_lines(_64525, _64523))], (240 ^ _57108) ^ [] : [-(unequally_directed_lines(_64525, reverse_line(_64523)))]]], (242 ^ _57108) ^ [_65094, _65096] : [-(unequally_directed_lines(_65096, _65094)), -(unequally_directed_lines(_65096, reverse_line(_65094)))], (248 ^ _57108) ^ [_65309, _65311] : [unequally_directed_lines(_65311, _65309), unequally_directed_lines(_65311, reverse_line(_65309)), -(left_convergent_lines(_65311, _65309)), -(left_convergent_lines(_65311, reverse_line(_65309)))], (262 ^ _57108) ^ [_65712, _65714] : [left_apart_point(_65714, _65712)], (264 ^ _57108) ^ [_65757, _65759] : [left_apart_point(_65759, reverse_line(_65757))], (266 ^ _57108) ^ [_65874, _65876] : [left_convergent_lines(_65876, _65874)], (268 ^ _57108) ^ [_65919, _65921] : [left_convergent_lines(_65921, reverse_line(_65919))], (270 ^ _57108) ^ [_66032, _66034] : [-(line(line_connecting(_66034, _66032))), point(_66034), point(_66032), distinct_points(_66034, _66032)], (284 ^ _57108) ^ [_66420, _66422] : [-(point(intersection_point(_66422, _66420))), line(_66422), line(_66420), unequally_directed_lines(_66422, _66420), unequally_directed_lines(_66422, reverse_line(_66420))], (302 ^ _57108) ^ [_66901, _66903] : [-(line(parallel_through_point(_66903, _66901))), point(_66901), line(_66903)], (312 ^ _57108) ^ [_67186] : [line(_67186), -(line(reverse_line(_67186)))], (318 ^ _57108) ^ [_67390, _67392] : [distinct_points(_67392, _67390), 321 ^ _57108 : [(322 ^ _57108) ^ [] : [apart_point_and_line(_67392, line_connecting(_67392, _67390))], (324 ^ _57108) ^ [] : [apart_point_and_line(_67390, line_connecting(_67392, _67390))]]], (326 ^ _57108) ^ [_67689, _67691] : [333 ^ _57108 : [(334 ^ _57108) ^ [] : [apart_point_and_line(intersection_point(_67691, _67689), _67691)], (336 ^ _57108) ^ [] : [apart_point_and_line(intersection_point(_67691, _67689), _67689)]], unequally_directed_lines(_67691, _67689), unequally_directed_lines(_67691, reverse_line(_67689))], (338 ^ _57108) ^ [_68065, _68067] : [apart_point_and_line(_68067, parallel_through_point(_68065, _68067))], (340 ^ _57108) ^ [_68147] : [distinct_lines(_68147, reverse_line(_68147))], (342 ^ _57108) ^ [_68256, _68258] : [distinct_points(_68258, _68256), -(equally_directed_lines(line_connecting(_68258, _68256), reverse_line(line_connecting(_68256, _68258))))], (348 ^ _57108) ^ [_68467, _68469] : [-(equally_directed_lines(parallel_through_point(_68467, _68469), _68467))], (350 ^ _57108) ^ [_68607, _68609, _68611, _68613] : [distinct_points(_68613, _68611), distinct_lines(_68609, _68607), -(left_apart_point(_68613, _68609)), -(left_apart_point(_68611, _68609)), -(left_apart_point(_68613, _68607)), -(left_apart_point(_68611, _68607)), -(left_apart_point(_68613, reverse_line(_68609))), -(left_apart_point(_68611, reverse_line(_68609))), -(left_apart_point(_68613, reverse_line(_68607))), -(left_apart_point(_68611, reverse_line(_68607)))], (388 ^ _57108) ^ [_69644, _69646, _69648] : [distinct_points(_69648, _69646), left_apart_point(_69648, _69644), -(left_apart_point(_69646, _69644)), -(left_convergent_lines(line_connecting(_69648, _69646), _69644))], (402 ^ _57108) ^ [_70069, _70071, _70073] : [left_apart_point(_70073, _70069), -(distinct_points(_70073, _70071)), -(left_apart_point(_70071, _70069))], (426 ^ _57108) ^ [_70796, _70798, _70800] : [left_convergent_lines(_70800, _70798), -(unequally_directed_lines(_70798, _70796)), -(left_convergent_lines(_70800, _70796))], (412 ^ _57108) ^ [_70393, _70395, _70397] : [left_apart_point(_70397, _70395), unequally_directed_lines(_70395, _70393), -(distinct_lines(_70395, _70393)), -(left_apart_point(_70397, reverse_line(_70393)))]], input).
% 0.34/1.39  ncf('1',plain,[left_apart_point(435 ^ [], 438 ^ [])],start(262 ^ 0,bind([[_65712, _65714], [438 ^ [], 435 ^ []]]))).
% 0.34/1.39  ncf('1.1',plain,[-(left_apart_point(435 ^ [], 438 ^ [])), divides_points(438 ^ [], 435 ^ [], 436 ^ []), 110 : -(left_apart_point(436 ^ [], 438 ^ []))],extension(98 ^ 1,bind([[_60445, _60447, _60449], [438 ^ [], 436 ^ [], 435 ^ []]]))).
% 0.34/1.39  ncf('1.1.1',plain,[-(divides_points(438 ^ [], 435 ^ [], 436 ^ []))],extension(442 ^ 2)).
% 0.34/1.39  ncf('1.1.2',plain,[left_apart_point(436 ^ [], 438 ^ [])],extension(262 ^ 4,bind([[_65712, _65714], [438 ^ [], 436 ^ []]]))).
% 0.34/1.39  %-----------------------------------------------------
% 0.34/1.39  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------