%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO269+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May 19 11:12:24 EDT 2023

% Result   : Theorem 0.41s 1.38s
% Output   : Proof 0.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO269+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri May 19 04:19:58 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.41/1.38  
% 0.41/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.41/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/1.38  %-----------------------------------------------------
% 0.41/1.38  ncf(matrix, plain, [(437 ^ _57561) ^ [] : [equally_directed_opposite_lines(435 ^ [], reverse_line(435 ^ []))], (2 ^ _57561) ^ [_57703, _57705] : [unequally_directed_opposite_lines(_57705, _57703), -(unequally_directed_lines(_57705, reverse_line(_57703)))], (8 ^ _57561) ^ [_57869, _57871] : [unequally_directed_lines(_57871, reverse_line(_57869)), -(unequally_directed_opposite_lines(_57871, _57869))], (14 ^ _57561) ^ [_58114, _58116] : [right_apart_point(_58116, _58114), -(left_apart_point(_58116, reverse_line(_58114)))], (20 ^ _57561) ^ [_58280, _58282] : [left_apart_point(_58282, reverse_line(_58280)), -(right_apart_point(_58282, _58280))], (26 ^ _57561) ^ [_58525, _58527] : [right_convergent_lines(_58527, _58525), -(left_convergent_lines(_58527, reverse_line(_58525)))], (32 ^ _57561) ^ [_58691, _58693] : [left_convergent_lines(_58693, reverse_line(_58691)), -(right_convergent_lines(_58693, _58691))], (38 ^ _57561) ^ [_58936, _58938] : [equally_directed_lines(_58938, _58936), unequally_directed_lines(_58938, _58936)], (44 ^ _57561) ^ [_59099, _59101] : [-(unequally_directed_lines(_59101, _59099)), -(equally_directed_lines(_59101, _59099))], (50 ^ _57561) ^ [_59343, _59345] : [equally_directed_opposite_lines(_59345, _59343), unequally_directed_opposite_lines(_59345, _59343)], (56 ^ _57561) ^ [_59506, _59508] : [-(unequally_directed_opposite_lines(_59508, _59506)), -(equally_directed_opposite_lines(_59508, _59506))], (72 ^ _57561) ^ [_60002, _60004] : [73 ^ _57561 : [(74 ^ _57561) ^ [] : [left_apart_point(_60004, _60002)], (76 ^ _57561) ^ [] : [right_apart_point(_60004, _60002)]], -(apart_point_and_line(_60004, _60002))], (62 ^ _57561) ^ [_59750, _59752] : [apart_point_and_line(_59752, _59750), -(left_apart_point(_59752, _59750)), -(right_apart_point(_59752, _59750))], (80 ^ _57561) ^ [_60317, _60319] : [convergent_lines(_60319, _60317), 83 ^ _57561 : [(84 ^ _57561) ^ [] : [-(unequally_directed_lines(_60319, _60317))], (86 ^ _57561) ^ [] : [-(unequally_directed_opposite_lines(_60319, _60317))]]], (88 ^ _57561) ^ [_60554, _60556] : [-(convergent_lines(_60556, _60554)), unequally_directed_lines(_60556, _60554), unequally_directed_opposite_lines(_60556, _60554)], (98 ^ _57561) ^ [_60898, _60900, _60902] : [divides_points(_60898, _60902, _60900), 103 ^ _57561 : [(104 ^ _57561) ^ [] : [-(left_apart_point(_60902, _60898))], (106 ^ _57561) ^ [] : [-(right_apart_point(_60900, _60898))]], 107 ^ _57561 : [(108 ^ _57561) ^ [] : [-(right_apart_point(_60902, _60898))], (110 ^ _57561) ^ [] : [-(left_apart_point(_60900, _60898))]]], (112 ^ _57561) ^ [_61316, _61318, _61320] : [-(divides_points(_61316, _61320, _61318)), 113 ^ _57561 : [(114 ^ _57561) ^ [] : [left_apart_point(_61320, _61316), right_apart_point(_61318, _61316)], (120 ^ _57561) ^ [] : [right_apart_point(_61320, _61316), left_apart_point(_61318, _61316)]]], (128 ^ _57561) ^ [_61841, _61843, _61845] : [before_on_line(_61845, _61843, _61841), 131 ^ _57561 : [(132 ^ _57561) ^ [] : [-(distinct_points(_61843, _61841))], (134 ^ _57561) ^ [] : [-(incident_point_and_line(_61843, _61845))], (136 ^ _57561) ^ [] : [-(incident_point_and_line(_61841, _61845))], (138 ^ _57561) ^ [] : [-(equally_directed_lines(_61845, line_connecting(_61843, _61841)))]]], (140 ^ _57561) ^ [_62246, _62248, _62250] : [-(before_on_line(_62250, _62248, _62246)), distinct_points(_62248, _62246), incident_point_and_line(_62248, _62250), incident_point_and_line(_62246, _62250), equally_directed_lines(_62250, line_connecting(_62248, _62246))], (158 ^ _57561) ^ [_62808, _62810, _62812, _62814] : [between_on_line(_62814, _62812, _62810, _62808), 163 ^ _57561 : [(164 ^ _57561) ^ [] : [-(before_on_line(_62814, _62812, _62810))], (166 ^ _57561) ^ [] : [-(before_on_line(_62814, _62810, _62808))]], 167 ^ _57561 : [(168 ^ _57561) ^ [] : [-(before_on_line(_62814, _62808, _62810))], (170 ^ _57561) ^ [] : [-(before_on_line(_62814, _62810, _62812))]]], (172 ^ _57561) ^ [_63250, _63252, _63254, _63256] : [-(between_on_line(_63256, _63254, _63252, _63250)), 173 ^ _57561 : [(174 ^ _57561) ^ [] : [before_on_line(_63256, _63254, _63252), before_on_line(_63256, _63252, _63250)], (180 ^ _57561) ^ [] : [before_on_line(_63256, _63250, _63252), before_on_line(_63256, _63252, _63254)]]], (188 ^ _57561) ^ [_63728] : [distinct_points(_63728, _63728)], (190 ^ _57561) ^ [_63849, _63851, _63853] : [distinct_points(_63853, _63851), -(distinct_points(_63853, _63849)), -(distinct_points(_63851, _63849))], (200 ^ _57561) ^ [_64129] : [distinct_lines(_64129, _64129)], (202 ^ _57561) ^ [_64250, _64252, _64254] : [distinct_lines(_64254, _64252), -(distinct_lines(_64254, _64250)), -(distinct_lines(_64252, _64250))], (212 ^ _57561) ^ [_64531] : [-(equally_directed_lines(_64531, _64531))], (214 ^ _57561) ^ [_64652, _64654, _64656] : [unequally_directed_lines(_64656, _64654), -(unequally_directed_lines(_64656, _64652)), -(unequally_directed_lines(_64654, _64652))], (224 ^ _57561) ^ [_64976, _64978, _64980] : [unequally_directed_lines(_64980, _64978), unequally_directed_lines(_64980, reverse_line(_64978)), 233 ^ _57561 : [(234 ^ _57561) ^ [] : [-(unequally_directed_lines(_64980, _64976))], (236 ^ _57561) ^ [] : [-(unequally_directed_lines(_64980, reverse_line(_64976)))]], 237 ^ _57561 : [(238 ^ _57561) ^ [] : [-(unequally_directed_lines(_64978, _64976))], (240 ^ _57561) ^ [] : [-(unequally_directed_lines(_64978, reverse_line(_64976)))]]], (242 ^ _57561) ^ [_65547, _65549] : [-(unequally_directed_lines(_65549, _65547)), -(unequally_directed_lines(_65549, reverse_line(_65547)))], (248 ^ _57561) ^ [_65762, _65764] : [unequally_directed_lines(_65764, _65762), unequally_directed_lines(_65764, reverse_line(_65762)), -(left_convergent_lines(_65764, _65762)), -(left_convergent_lines(_65764, reverse_line(_65762)))], (262 ^ _57561) ^ [_66165, _66167] : [left_apart_point(_66167, _66165)], (264 ^ _57561) ^ [_66210, _66212] : [left_apart_point(_66212, reverse_line(_66210))], (266 ^ _57561) ^ [_66327, _66329] : [left_convergent_lines(_66329, _66327)], (268 ^ _57561) ^ [_66372, _66374] : [left_convergent_lines(_66374, reverse_line(_66372))], (270 ^ _57561) ^ [_66485, _66487] : [-(line(line_connecting(_66487, _66485))), point(_66487), point(_66485), distinct_points(_66487, _66485)], (284 ^ _57561) ^ [_66873, _66875] : [-(point(intersection_point(_66875, _66873))), line(_66875), line(_66873), unequally_directed_lines(_66875, _66873), unequally_directed_lines(_66875, reverse_line(_66873))], (302 ^ _57561) ^ [_67354, _67356] : [-(line(parallel_through_point(_67356, _67354))), point(_67354), line(_67356)], (312 ^ _57561) ^ [_67639] : [line(_67639), -(line(reverse_line(_67639)))], (318 ^ _57561) ^ [_67843, _67845] : [distinct_points(_67845, _67843), 321 ^ _57561 : [(322 ^ _57561) ^ [] : [apart_point_and_line(_67845, line_connecting(_67845, _67843))], (324 ^ _57561) ^ [] : [apart_point_and_line(_67843, line_connecting(_67845, _67843))]]], (326 ^ _57561) ^ [_68142, _68144] : [333 ^ _57561 : [(334 ^ _57561) ^ [] : [apart_point_and_line(intersection_point(_68144, _68142), _68144)], (336 ^ _57561) ^ [] : [apart_point_and_line(intersection_point(_68144, _68142), _68142)]], unequally_directed_lines(_68144, _68142), unequally_directed_lines(_68144, reverse_line(_68142))], (338 ^ _57561) ^ [_68518, _68520] : [apart_point_and_line(_68520, parallel_through_point(_68518, _68520))], (340 ^ _57561) ^ [_68600] : [distinct_lines(_68600, reverse_line(_68600))], (342 ^ _57561) ^ [_68709, _68711] : [distinct_points(_68711, _68709), -(equally_directed_lines(line_connecting(_68711, _68709), reverse_line(line_connecting(_68709, _68711))))], (348 ^ _57561) ^ [_68920, _68922] : [-(equally_directed_lines(parallel_through_point(_68920, _68922), _68920))], (350 ^ _57561) ^ [_69060, _69062, _69064, _69066] : [distinct_points(_69066, _69064), distinct_lines(_69062, _69060), -(left_apart_point(_69066, _69062)), -(left_apart_point(_69064, _69062)), -(left_apart_point(_69066, _69060)), -(left_apart_point(_69064, _69060)), -(left_apart_point(_69066, reverse_line(_69062))), -(left_apart_point(_69064, reverse_line(_69062))), -(left_apart_point(_69066, reverse_line(_69060))), -(left_apart_point(_69064, reverse_line(_69060)))], (388 ^ _57561) ^ [_70097, _70099, _70101] : [distinct_points(_70101, _70099), left_apart_point(_70101, _70097), -(left_apart_point(_70099, _70097)), -(left_convergent_lines(line_connecting(_70101, _70099), _70097))], (402 ^ _57561) ^ [_70522, _70524, _70526] : [left_apart_point(_70526, _70522), -(distinct_points(_70526, _70524)), -(left_apart_point(_70524, _70522))], (426 ^ _57561) ^ [_71249, _71251, _71253] : [left_convergent_lines(_71253, _71251), -(unequally_directed_lines(_71251, _71249)), -(left_convergent_lines(_71253, _71249))], (412 ^ _57561) ^ [_70846, _70848, _70850] : [left_apart_point(_70850, _70848), unequally_directed_lines(_70848, _70846), -(distinct_lines(_70848, _70846)), -(left_apart_point(_70850, reverse_line(_70846)))]], input).
% 0.41/1.38  ncf('1',plain,[equally_directed_lines(435 ^ [], 435 ^ []), unequally_directed_lines(435 ^ [], 435 ^ [])],start(38 ^ 0,bind([[_58936, _58938], [435 ^ [], 435 ^ []]]))).
% 0.41/1.38  ncf('1.1',plain,[-(equally_directed_lines(435 ^ [], 435 ^ [])), -(unequally_directed_lines(435 ^ [], 435 ^ []))],extension(44 ^ 1,bind([[_59099, _59101], [435 ^ [], 435 ^ []]]))).
% 0.41/1.38  ncf('1.1.1',plain,[unequally_directed_lines(435 ^ [], 435 ^ []), -(unequally_directed_lines(435 ^ [], 435 ^ [])), -(unequally_directed_lines(435 ^ [], 435 ^ []))],extension(214 ^ 2,bind([[_64652, _64654, _64656], [435 ^ [], 435 ^ [], 435 ^ []]]))).
% 0.41/1.38  ncf('1.1.1.1',plain,[unequally_directed_lines(435 ^ [], 435 ^ []), equally_directed_lines(435 ^ [], 435 ^ [])],extension(38 ^ 3,bind([[_58936, _58938], [435 ^ [], 435 ^ []]]))).
% 0.41/1.38  ncf('1.1.1.1.1',plain,[-(equally_directed_lines(435 ^ [], 435 ^ []))],extension(212 ^ 4,bind([[_64531], [435 ^ []]]))).
% 0.41/1.38  ncf('1.1.1.2',plain,[unequally_directed_lines(435 ^ [], 435 ^ []), equally_directed_lines(435 ^ [], 435 ^ [])],extension(38 ^ 3,bind([[_58936, _58938], [435 ^ [], 435 ^ []]]))).
% 0.41/1.38  ncf('1.1.1.2.1',plain,[-(equally_directed_lines(435 ^ [], 435 ^ []))],extension(212 ^ 4,bind([[_64531], [435 ^ []]]))).
% 0.41/1.38  ncf('1.2',plain,[-(unequally_directed_lines(435 ^ [], 435 ^ [])), unequally_directed_lines(435 ^ [], reverse_line(reverse_line(435 ^ []))), -(unequally_directed_lines(reverse_line(reverse_line(435 ^ [])), 435 ^ []))],extension(214 ^ 1,bind([[_64652, _64654, _64656], [435 ^ [], reverse_line(reverse_line(435 ^ [])), 435 ^ []]]))).
% 0.41/1.38  ncf('1.2.1',plain,[-(unequally_directed_lines(435 ^ [], reverse_line(reverse_line(435 ^ [])))), unequally_directed_opposite_lines(435 ^ [], reverse_line(435 ^ []))],extension(2 ^ 2,bind([[_57703, _57705], [reverse_line(435 ^ []), 435 ^ []]]))).
% 0.41/1.38  ncf('1.2.1.1',plain,[-(unequally_directed_opposite_lines(435 ^ [], reverse_line(435 ^ []))), -(equally_directed_opposite_lines(435 ^ [], reverse_line(435 ^ [])))],extension(56 ^ 3,bind([[_59506, _59508], [reverse_line(435 ^ []), 435 ^ []]]))).
% 0.41/1.38  ncf('1.2.1.1.1',plain,[equally_directed_opposite_lines(435 ^ [], reverse_line(435 ^ []))],extension(437 ^ 4)).
% 0.41/1.38  ncf('1.2.2',plain,[unequally_directed_lines(reverse_line(reverse_line(435 ^ [])), 435 ^ []), -(unequally_directed_lines(reverse_line(reverse_line(435 ^ [])), reverse_line(reverse_line(435 ^ [])))), -(unequally_directed_lines(435 ^ [], reverse_line(reverse_line(435 ^ []))))],extension(214 ^ 2,bind([[_64652, _64654, _64656], [reverse_line(reverse_line(435 ^ [])), 435 ^ [], reverse_line(reverse_line(435 ^ []))]]))).
% 0.41/1.38  ncf('1.2.2.1',plain,[unequally_directed_lines(reverse_line(reverse_line(435 ^ [])), reverse_line(reverse_line(435 ^ []))), equally_directed_lines(reverse_line(reverse_line(435 ^ [])), reverse_line(reverse_line(435 ^ [])))],extension(38 ^ 3,bind([[_58936, _58938], [reverse_line(reverse_line(435 ^ [])), reverse_line(reverse_line(435 ^ []))]]))).
% 0.41/1.38  ncf('1.2.2.1.1',plain,[-(equally_directed_lines(reverse_line(reverse_line(435 ^ [])), reverse_line(reverse_line(435 ^ []))))],extension(212 ^ 4,bind([[_64531], [reverse_line(reverse_line(435 ^ []))]]))).
% 0.41/1.38  ncf('1.2.2.2',plain,[unequally_directed_lines(435 ^ [], reverse_line(reverse_line(435 ^ []))), unequally_directed_lines(435 ^ [], reverse_line(435 ^ [])), -(left_convergent_lines(435 ^ [], reverse_line(435 ^ []))), -(left_convergent_lines(435 ^ [], reverse_line(reverse_line(435 ^ []))))],extension(248 ^ 3,bind([[_65762, _65764], [reverse_line(435 ^ []), 435 ^ []]]))).
% 0.41/1.38  ncf('1.2.2.2.1',plain,[-(unequally_directed_lines(435 ^ [], reverse_line(435 ^ []))), -(unequally_directed_lines(435 ^ [], 435 ^ []))],extension(242 ^ 4,bind([[_65547, _65549], [435 ^ [], 435 ^ []]]))).
% 0.41/1.38  ncf('1.2.2.2.1.1',plain,[unequally_directed_lines(435 ^ [], 435 ^ [])],reduction('1')).
% 0.41/1.38  ncf('1.2.2.2.2',plain,[left_convergent_lines(435 ^ [], reverse_line(435 ^ []))],extension(266 ^ 4,bind([[_66327, _66329], [reverse_line(435 ^ []), 435 ^ []]]))).
% 0.41/1.38  ncf('1.2.2.2.3',plain,[left_convergent_lines(435 ^ [], reverse_line(reverse_line(435 ^ [])))],extension(266 ^ 4,bind([[_66327, _66329], [reverse_line(reverse_line(435 ^ [])), 435 ^ []]]))).
% 0.41/1.38  %-----------------------------------------------------
% 0.41/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------