%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO248+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n021.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 11:12:21 EDT 2023

% Result   : Theorem 0.38s 1.41s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GEO248+3 : TPTP v8.1.2. Released v4.0.0.
% 0.15/0.14  % Command  : nanocop.sh %s %d
% 0.15/0.36  % Computer : n021.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Fri May 19 04:01:27 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.38/1.41  
% 0.38/1.41  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.38/1.41  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/1.41  %-----------------------------------------------------
% 0.38/1.41  ncf(matrix, plain, [(439 ^ _56272) ^ [] : [-(apart_point_and_line(435 ^ [], 437 ^ []))], (441 ^ _56272) ^ [] : [-(incident_point_and_line(436 ^ [], parallel_lines(437 ^ [], 435 ^ [])))], (443 ^ _56272) ^ [] : [apart_point_and_line(436 ^ [], 437 ^ [])], (2 ^ _56272) ^ [_56414, _56416] : [unequally_directed_opposite_lines(_56416, _56414), -(unequally_directed_lines(_56416, reverse_line(_56414)))], (8 ^ _56272) ^ [_56580, _56582] : [unequally_directed_lines(_56582, reverse_line(_56580)), -(unequally_directed_opposite_lines(_56582, _56580))], (14 ^ _56272) ^ [_56825, _56827] : [right_apart_point(_56827, _56825), -(left_apart_point(_56827, reverse_line(_56825)))], (20 ^ _56272) ^ [_56991, _56993] : [left_apart_point(_56993, reverse_line(_56991)), -(right_apart_point(_56993, _56991))], (26 ^ _56272) ^ [_57236, _57238] : [right_convergent_lines(_57238, _57236), -(left_convergent_lines(_57238, reverse_line(_57236)))], (32 ^ _56272) ^ [_57402, _57404] : [left_convergent_lines(_57404, reverse_line(_57402)), -(right_convergent_lines(_57404, _57402))], (38 ^ _56272) ^ [_57647, _57649] : [equally_directed_lines(_57649, _57647), unequally_directed_lines(_57649, _57647)], (44 ^ _56272) ^ [_57810, _57812] : [-(unequally_directed_lines(_57812, _57810)), -(equally_directed_lines(_57812, _57810))], (50 ^ _56272) ^ [_58054, _58056] : [equally_directed_opposite_lines(_58056, _58054), unequally_directed_opposite_lines(_58056, _58054)], (56 ^ _56272) ^ [_58217, _58219] : [-(unequally_directed_opposite_lines(_58219, _58217)), -(equally_directed_opposite_lines(_58219, _58217))], (72 ^ _56272) ^ [_58713, _58715] : [73 ^ _56272 : [(74 ^ _56272) ^ [] : [left_apart_point(_58715, _58713)], (76 ^ _56272) ^ [] : [right_apart_point(_58715, _58713)]], -(apart_point_and_line(_58715, _58713))], (62 ^ _56272) ^ [_58461, _58463] : [apart_point_and_line(_58463, _58461), -(left_apart_point(_58463, _58461)), -(right_apart_point(_58463, _58461))], (80 ^ _56272) ^ [_59028, _59030] : [convergent_lines(_59030, _59028), 83 ^ _56272 : [(84 ^ _56272) ^ [] : [-(unequally_directed_lines(_59030, _59028))], (86 ^ _56272) ^ [] : [-(unequally_directed_opposite_lines(_59030, _59028))]]], (88 ^ _56272) ^ [_59265, _59267] : [-(convergent_lines(_59267, _59265)), unequally_directed_lines(_59267, _59265), unequally_directed_opposite_lines(_59267, _59265)], (98 ^ _56272) ^ [_59609, _59611, _59613] : [divides_points(_59609, _59613, _59611), 103 ^ _56272 : [(104 ^ _56272) ^ [] : [-(left_apart_point(_59613, _59609))], (106 ^ _56272) ^ [] : [-(right_apart_point(_59611, _59609))]], 107 ^ _56272 : [(108 ^ _56272) ^ [] : [-(right_apart_point(_59613, _59609))], (110 ^ _56272) ^ [] : [-(left_apart_point(_59611, _59609))]]], (112 ^ _56272) ^ [_60027, _60029, _60031] : [-(divides_points(_60027, _60031, _60029)), 113 ^ _56272 : [(114 ^ _56272) ^ [] : [left_apart_point(_60031, _60027), right_apart_point(_60029, _60027)], (120 ^ _56272) ^ [] : [right_apart_point(_60031, _60027), left_apart_point(_60029, _60027)]]], (128 ^ _56272) ^ [_60552, _60554, _60556] : [before_on_line(_60556, _60554, _60552), 131 ^ _56272 : [(132 ^ _56272) ^ [] : [-(distinct_points(_60554, _60552))], (134 ^ _56272) ^ [] : [-(incident_point_and_line(_60554, _60556))], (136 ^ _56272) ^ [] : [-(incident_point_and_line(_60552, _60556))], (138 ^ _56272) ^ [] : [-(equally_directed_lines(_60556, line_connecting(_60554, _60552)))]]], (140 ^ _56272) ^ [_60957, _60959, _60961] : [-(before_on_line(_60961, _60959, _60957)), distinct_points(_60959, _60957), incident_point_and_line(_60959, _60961), incident_point_and_line(_60957, _60961), equally_directed_lines(_60961, line_connecting(_60959, _60957))], (158 ^ _56272) ^ [_61519, _61521, _61523, _61525] : [between_on_line(_61525, _61523, _61521, _61519), 163 ^ _56272 : [(164 ^ _56272) ^ [] : [-(before_on_line(_61525, _61523, _61521))], (166 ^ _56272) ^ [] : [-(before_on_line(_61525, _61521, _61519))]], 167 ^ _56272 : [(168 ^ _56272) ^ [] : [-(before_on_line(_61525, _61519, _61521))], (170 ^ _56272) ^ [] : [-(before_on_line(_61525, _61521, _61523))]]], (172 ^ _56272) ^ [_61961, _61963, _61965, _61967] : [-(between_on_line(_61967, _61965, _61963, _61961)), 173 ^ _56272 : [(174 ^ _56272) ^ [] : [before_on_line(_61967, _61965, _61963), before_on_line(_61967, _61963, _61961)], (180 ^ _56272) ^ [] : [before_on_line(_61967, _61961, _61963), before_on_line(_61967, _61963, _61965)]]], (188 ^ _56272) ^ [_62439] : [distinct_points(_62439, _62439)], (190 ^ _56272) ^ [_62560, _62562, _62564] : [distinct_points(_62564, _62562), -(distinct_points(_62564, _62560)), -(distinct_points(_62562, _62560))], (200 ^ _56272) ^ [_62840] : [distinct_lines(_62840, _62840)], (202 ^ _56272) ^ [_62961, _62963, _62965] : [distinct_lines(_62965, _62963), -(distinct_lines(_62965, _62961)), -(distinct_lines(_62963, _62961))], (212 ^ _56272) ^ [_63242] : [-(equally_directed_lines(_63242, _63242))], (214 ^ _56272) ^ [_63363, _63365, _63367] : [unequally_directed_lines(_63367, _63365), -(unequally_directed_lines(_63367, _63363)), -(unequally_directed_lines(_63365, _63363))], (224 ^ _56272) ^ [_63687, _63689, _63691] : [unequally_directed_lines(_63691, _63689), unequally_directed_lines(_63691, reverse_line(_63689)), 233 ^ _56272 : [(234 ^ _56272) ^ [] : [-(unequally_directed_lines(_63691, _63687))], (236 ^ _56272) ^ [] : [-(unequally_directed_lines(_63691, reverse_line(_63687)))]], 237 ^ _56272 : [(238 ^ _56272) ^ [] : [-(unequally_directed_lines(_63689, _63687))], (240 ^ _56272) ^ [] : [-(unequally_directed_lines(_63689, reverse_line(_63687)))]]], (242 ^ _56272) ^ [_64258, _64260] : [-(unequally_directed_lines(_64260, _64258)), -(unequally_directed_lines(_64260, reverse_line(_64258)))], (248 ^ _56272) ^ [_64473, _64475] : [unequally_directed_lines(_64475, _64473), unequally_directed_lines(_64475, reverse_line(_64473)), -(left_convergent_lines(_64475, _64473)), -(left_convergent_lines(_64475, reverse_line(_64473)))], (262 ^ _56272) ^ [_64876, _64878] : [left_apart_point(_64878, _64876)], (264 ^ _56272) ^ [_64921, _64923] : [left_apart_point(_64923, reverse_line(_64921))], (266 ^ _56272) ^ [_65038, _65040] : [left_convergent_lines(_65040, _65038)], (268 ^ _56272) ^ [_65083, _65085] : [left_convergent_lines(_65085, reverse_line(_65083))], (270 ^ _56272) ^ [_65196, _65198] : [-(line(line_connecting(_65198, _65196))), point(_65198), point(_65196), distinct_points(_65198, _65196)], (284 ^ _56272) ^ [_65584, _65586] : [-(point(intersection_point(_65586, _65584))), line(_65586), line(_65584), unequally_directed_lines(_65586, _65584), unequally_directed_lines(_65586, reverse_line(_65584))], (302 ^ _56272) ^ [_66065, _66067] : [-(line(parallel_through_point(_66067, _66065))), point(_66065), line(_66067)], (312 ^ _56272) ^ [_66350] : [line(_66350), -(line(reverse_line(_66350)))], (318 ^ _56272) ^ [_66554, _66556] : [distinct_points(_66556, _66554), 321 ^ _56272 : [(322 ^ _56272) ^ [] : [apart_point_and_line(_66556, line_connecting(_66556, _66554))], (324 ^ _56272) ^ [] : [apart_point_and_line(_66554, line_connecting(_66556, _66554))]]], (326 ^ _56272) ^ [_66853, _66855] : [333 ^ _56272 : [(334 ^ _56272) ^ [] : [apart_point_and_line(intersection_point(_66855, _66853), _66855)], (336 ^ _56272) ^ [] : [apart_point_and_line(intersection_point(_66855, _66853), _66853)]], unequally_directed_lines(_66855, _66853), unequally_directed_lines(_66855, reverse_line(_66853))], (338 ^ _56272) ^ [_67229, _67231] : [apart_point_and_line(_67231, parallel_through_point(_67229, _67231))], (340 ^ _56272) ^ [_67311] : [distinct_lines(_67311, reverse_line(_67311))], (342 ^ _56272) ^ [_67420, _67422] : [distinct_points(_67422, _67420), -(equally_directed_lines(line_connecting(_67422, _67420), reverse_line(line_connecting(_67420, _67422))))], (348 ^ _56272) ^ [_67631, _67633] : [-(equally_directed_lines(parallel_through_point(_67631, _67633), _67631))], (350 ^ _56272) ^ [_67771, _67773, _67775, _67777] : [distinct_points(_67777, _67775), distinct_lines(_67773, _67771), -(left_apart_point(_67777, _67773)), -(left_apart_point(_67775, _67773)), -(left_apart_point(_67777, _67771)), -(left_apart_point(_67775, _67771)), -(left_apart_point(_67777, reverse_line(_67773))), -(left_apart_point(_67775, reverse_line(_67773))), -(left_apart_point(_67777, reverse_line(_67771))), -(left_apart_point(_67775, reverse_line(_67771)))], (388 ^ _56272) ^ [_68808, _68810, _68812] : [distinct_points(_68812, _68810), left_apart_point(_68812, _68808), -(left_apart_point(_68810, _68808)), -(left_convergent_lines(line_connecting(_68812, _68810), _68808))], (402 ^ _56272) ^ [_69233, _69235, _69237] : [left_apart_point(_69237, _69233), -(distinct_points(_69237, _69235)), -(left_apart_point(_69235, _69233))], (426 ^ _56272) ^ [_69960, _69962, _69964] : [left_convergent_lines(_69964, _69962), -(unequally_directed_lines(_69962, _69960)), -(left_convergent_lines(_69964, _69960))], (412 ^ _56272) ^ [_69557, _69559, _69561] : [left_apart_point(_69561, _69559), unequally_directed_lines(_69559, _69557), -(distinct_lines(_69559, _69557)), -(left_apart_point(_69561, reverse_line(_69557)))]], input).
% 0.38/1.41  ncf('1',plain,[left_apart_point(435 ^ [], reverse_line(437 ^ []))],start(262 ^ 0,bind([[_64876, _64878], [reverse_line(437 ^ []), 435 ^ []]]))).
% 0.38/1.41  ncf('1.1',plain,[-(left_apart_point(435 ^ [], reverse_line(437 ^ []))), right_apart_point(435 ^ [], 437 ^ [])],extension(14 ^ 1,bind([[_56825, _56827], [437 ^ [], 435 ^ []]]))).
% 0.38/1.41  ncf('1.1.1',plain,[-(right_apart_point(435 ^ [], 437 ^ [])), apart_point_and_line(435 ^ [], 437 ^ []), -(left_apart_point(435 ^ [], 437 ^ []))],extension(62 ^ 2,bind([[_58461, _58463], [437 ^ [], 435 ^ []]]))).
% 0.38/1.41  ncf('1.1.1.1',plain,[-(apart_point_and_line(435 ^ [], 437 ^ []))],extension(439 ^ 3)).
% 0.38/1.41  ncf('1.1.1.2',plain,[left_apart_point(435 ^ [], 437 ^ [])],extension(262 ^ 3,bind([[_64876, _64878], [437 ^ [], 435 ^ []]]))).
% 0.38/1.41  %-----------------------------------------------------
% 0.38/1.41  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------