%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO244+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n014.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 11:12:20 EDT 2023

% Result   : Theorem 0.33s 1.41s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GEO244+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14  % Command  : nanocop.sh %s %d
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri May 19 04:32:12 EDT 2023
% 0.13/0.36  % CPUTime  : 
% 0.33/1.41  
% 0.33/1.41  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.33/1.41  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.41  %-----------------------------------------------------
% 0.33/1.41  ncf(matrix, plain, [(439 ^ _56052) ^ [] : [-(distinct_points(435 ^ [], 436 ^ []))], (441 ^ _56052) ^ [] : [-(right_apart_point(437 ^ [], line_connecting(435 ^ [], 436 ^ [])))], (443 ^ _56052) ^ [] : [left_apart_point(437 ^ [], line_connecting(436 ^ [], 435 ^ []))], (2 ^ _56052) ^ [_56194, _56196] : [unequally_directed_opposite_lines(_56196, _56194), -(unequally_directed_lines(_56196, reverse_line(_56194)))], (8 ^ _56052) ^ [_56360, _56362] : [unequally_directed_lines(_56362, reverse_line(_56360)), -(unequally_directed_opposite_lines(_56362, _56360))], (14 ^ _56052) ^ [_56605, _56607] : [right_apart_point(_56607, _56605), -(left_apart_point(_56607, reverse_line(_56605)))], (20 ^ _56052) ^ [_56771, _56773] : [left_apart_point(_56773, reverse_line(_56771)), -(right_apart_point(_56773, _56771))], (26 ^ _56052) ^ [_57016, _57018] : [right_convergent_lines(_57018, _57016), -(left_convergent_lines(_57018, reverse_line(_57016)))], (32 ^ _56052) ^ [_57182, _57184] : [left_convergent_lines(_57184, reverse_line(_57182)), -(right_convergent_lines(_57184, _57182))], (38 ^ _56052) ^ [_57427, _57429] : [equally_directed_lines(_57429, _57427), unequally_directed_lines(_57429, _57427)], (44 ^ _56052) ^ [_57590, _57592] : [-(unequally_directed_lines(_57592, _57590)), -(equally_directed_lines(_57592, _57590))], (50 ^ _56052) ^ [_57834, _57836] : [equally_directed_opposite_lines(_57836, _57834), unequally_directed_opposite_lines(_57836, _57834)], (56 ^ _56052) ^ [_57997, _57999] : [-(unequally_directed_opposite_lines(_57999, _57997)), -(equally_directed_opposite_lines(_57999, _57997))], (72 ^ _56052) ^ [_58493, _58495] : [73 ^ _56052 : [(74 ^ _56052) ^ [] : [left_apart_point(_58495, _58493)], (76 ^ _56052) ^ [] : [right_apart_point(_58495, _58493)]], -(apart_point_and_line(_58495, _58493))], (62 ^ _56052) ^ [_58241, _58243] : [apart_point_and_line(_58243, _58241), -(left_apart_point(_58243, _58241)), -(right_apart_point(_58243, _58241))], (80 ^ _56052) ^ [_58808, _58810] : [convergent_lines(_58810, _58808), 83 ^ _56052 : [(84 ^ _56052) ^ [] : [-(unequally_directed_lines(_58810, _58808))], (86 ^ _56052) ^ [] : [-(unequally_directed_opposite_lines(_58810, _58808))]]], (88 ^ _56052) ^ [_59045, _59047] : [-(convergent_lines(_59047, _59045)), unequally_directed_lines(_59047, _59045), unequally_directed_opposite_lines(_59047, _59045)], (98 ^ _56052) ^ [_59389, _59391, _59393] : [divides_points(_59389, _59393, _59391), 103 ^ _56052 : [(104 ^ _56052) ^ [] : [-(left_apart_point(_59393, _59389))], (106 ^ _56052) ^ [] : [-(right_apart_point(_59391, _59389))]], 107 ^ _56052 : [(108 ^ _56052) ^ [] : [-(right_apart_point(_59393, _59389))], (110 ^ _56052) ^ [] : [-(left_apart_point(_59391, _59389))]]], (112 ^ _56052) ^ [_59807, _59809, _59811] : [-(divides_points(_59807, _59811, _59809)), 113 ^ _56052 : [(114 ^ _56052) ^ [] : [left_apart_point(_59811, _59807), right_apart_point(_59809, _59807)], (120 ^ _56052) ^ [] : [right_apart_point(_59811, _59807), left_apart_point(_59809, _59807)]]], (128 ^ _56052) ^ [_60332, _60334, _60336] : [before_on_line(_60336, _60334, _60332), 131 ^ _56052 : [(132 ^ _56052) ^ [] : [-(distinct_points(_60334, _60332))], (134 ^ _56052) ^ [] : [-(incident_point_and_line(_60334, _60336))], (136 ^ _56052) ^ [] : [-(incident_point_and_line(_60332, _60336))], (138 ^ _56052) ^ [] : [-(equally_directed_lines(_60336, line_connecting(_60334, _60332)))]]], (140 ^ _56052) ^ [_60737, _60739, _60741] : [-(before_on_line(_60741, _60739, _60737)), distinct_points(_60739, _60737), incident_point_and_line(_60739, _60741), incident_point_and_line(_60737, _60741), equally_directed_lines(_60741, line_connecting(_60739, _60737))], (158 ^ _56052) ^ [_61299, _61301, _61303, _61305] : [between_on_line(_61305, _61303, _61301, _61299), 163 ^ _56052 : [(164 ^ _56052) ^ [] : [-(before_on_line(_61305, _61303, _61301))], (166 ^ _56052) ^ [] : [-(before_on_line(_61305, _61301, _61299))]], 167 ^ _56052 : [(168 ^ _56052) ^ [] : [-(before_on_line(_61305, _61299, _61301))], (170 ^ _56052) ^ [] : [-(before_on_line(_61305, _61301, _61303))]]], (172 ^ _56052) ^ [_61741, _61743, _61745, _61747] : [-(between_on_line(_61747, _61745, _61743, _61741)), 173 ^ _56052 : [(174 ^ _56052) ^ [] : [before_on_line(_61747, _61745, _61743), before_on_line(_61747, _61743, _61741)], (180 ^ _56052) ^ [] : [before_on_line(_61747, _61741, _61743), before_on_line(_61747, _61743, _61745)]]], (188 ^ _56052) ^ [_62219] : [distinct_points(_62219, _62219)], (190 ^ _56052) ^ [_62340, _62342, _62344] : [distinct_points(_62344, _62342), -(distinct_points(_62344, _62340)), -(distinct_points(_62342, _62340))], (200 ^ _56052) ^ [_62620] : [distinct_lines(_62620, _62620)], (202 ^ _56052) ^ [_62741, _62743, _62745] : [distinct_lines(_62745, _62743), -(distinct_lines(_62745, _62741)), -(distinct_lines(_62743, _62741))], (212 ^ _56052) ^ [_63022] : [-(equally_directed_lines(_63022, _63022))], (214 ^ _56052) ^ [_63143, _63145, _63147] : [unequally_directed_lines(_63147, _63145), -(unequally_directed_lines(_63147, _63143)), -(unequally_directed_lines(_63145, _63143))], (224 ^ _56052) ^ [_63467, _63469, _63471] : [unequally_directed_lines(_63471, _63469), unequally_directed_lines(_63471, reverse_line(_63469)), 233 ^ _56052 : [(234 ^ _56052) ^ [] : [-(unequally_directed_lines(_63471, _63467))], (236 ^ _56052) ^ [] : [-(unequally_directed_lines(_63471, reverse_line(_63467)))]], 237 ^ _56052 : [(238 ^ _56052) ^ [] : [-(unequally_directed_lines(_63469, _63467))], (240 ^ _56052) ^ [] : [-(unequally_directed_lines(_63469, reverse_line(_63467)))]]], (242 ^ _56052) ^ [_64038, _64040] : [-(unequally_directed_lines(_64040, _64038)), -(unequally_directed_lines(_64040, reverse_line(_64038)))], (248 ^ _56052) ^ [_64253, _64255] : [unequally_directed_lines(_64255, _64253), unequally_directed_lines(_64255, reverse_line(_64253)), -(left_convergent_lines(_64255, _64253)), -(left_convergent_lines(_64255, reverse_line(_64253)))], (262 ^ _56052) ^ [_64656, _64658] : [left_apart_point(_64658, _64656)], (264 ^ _56052) ^ [_64701, _64703] : [left_apart_point(_64703, reverse_line(_64701))], (266 ^ _56052) ^ [_64818, _64820] : [left_convergent_lines(_64820, _64818)], (268 ^ _56052) ^ [_64863, _64865] : [left_convergent_lines(_64865, reverse_line(_64863))], (270 ^ _56052) ^ [_64976, _64978] : [-(line(line_connecting(_64978, _64976))), point(_64978), point(_64976), distinct_points(_64978, _64976)], (284 ^ _56052) ^ [_65364, _65366] : [-(point(intersection_point(_65366, _65364))), line(_65366), line(_65364), unequally_directed_lines(_65366, _65364), unequally_directed_lines(_65366, reverse_line(_65364))], (302 ^ _56052) ^ [_65845, _65847] : [-(line(parallel_through_point(_65847, _65845))), point(_65845), line(_65847)], (312 ^ _56052) ^ [_66130] : [line(_66130), -(line(reverse_line(_66130)))], (318 ^ _56052) ^ [_66334, _66336] : [distinct_points(_66336, _66334), 321 ^ _56052 : [(322 ^ _56052) ^ [] : [apart_point_and_line(_66336, line_connecting(_66336, _66334))], (324 ^ _56052) ^ [] : [apart_point_and_line(_66334, line_connecting(_66336, _66334))]]], (326 ^ _56052) ^ [_66633, _66635] : [333 ^ _56052 : [(334 ^ _56052) ^ [] : [apart_point_and_line(intersection_point(_66635, _66633), _66635)], (336 ^ _56052) ^ [] : [apart_point_and_line(intersection_point(_66635, _66633), _66633)]], unequally_directed_lines(_66635, _66633), unequally_directed_lines(_66635, reverse_line(_66633))], (338 ^ _56052) ^ [_67009, _67011] : [apart_point_and_line(_67011, parallel_through_point(_67009, _67011))], (340 ^ _56052) ^ [_67091] : [distinct_lines(_67091, reverse_line(_67091))], (342 ^ _56052) ^ [_67200, _67202] : [distinct_points(_67202, _67200), -(equally_directed_lines(line_connecting(_67202, _67200), reverse_line(line_connecting(_67200, _67202))))], (348 ^ _56052) ^ [_67411, _67413] : [-(equally_directed_lines(parallel_through_point(_67411, _67413), _67411))], (350 ^ _56052) ^ [_67551, _67553, _67555, _67557] : [distinct_points(_67557, _67555), distinct_lines(_67553, _67551), -(left_apart_point(_67557, _67553)), -(left_apart_point(_67555, _67553)), -(left_apart_point(_67557, _67551)), -(left_apart_point(_67555, _67551)), -(left_apart_point(_67557, reverse_line(_67553))), -(left_apart_point(_67555, reverse_line(_67553))), -(left_apart_point(_67557, reverse_line(_67551))), -(left_apart_point(_67555, reverse_line(_67551)))], (388 ^ _56052) ^ [_68588, _68590, _68592] : [distinct_points(_68592, _68590), left_apart_point(_68592, _68588), -(left_apart_point(_68590, _68588)), -(left_convergent_lines(line_connecting(_68592, _68590), _68588))], (402 ^ _56052) ^ [_69013, _69015, _69017] : [left_apart_point(_69017, _69013), -(distinct_points(_69017, _69015)), -(left_apart_point(_69015, _69013))], (426 ^ _56052) ^ [_69740, _69742, _69744] : [left_convergent_lines(_69744, _69742), -(unequally_directed_lines(_69742, _69740)), -(left_convergent_lines(_69744, _69740))], (412 ^ _56052) ^ [_69337, _69339, _69341] : [left_apart_point(_69341, _69339), unequally_directed_lines(_69339, _69337), -(distinct_lines(_69339, _69337)), -(left_apart_point(_69341, reverse_line(_69337)))]], input).
% 0.33/1.41  ncf('1',plain,[left_apart_point(437 ^ [], reverse_line(line_connecting(435 ^ [], 436 ^ [])))],start(262 ^ 0,bind([[_64656, _64658], [reverse_line(line_connecting(435 ^ [], 436 ^ [])), 437 ^ []]]))).
% 0.33/1.41  ncf('1.1',plain,[-(left_apart_point(437 ^ [], reverse_line(line_connecting(435 ^ [], 436 ^ [])))), right_apart_point(437 ^ [], line_connecting(435 ^ [], 436 ^ []))],extension(14 ^ 1,bind([[_56605, _56607], [line_connecting(435 ^ [], 436 ^ []), 437 ^ []]]))).
% 0.33/1.41  ncf('1.1.1',plain,[-(right_apart_point(437 ^ [], line_connecting(435 ^ [], 436 ^ [])))],extension(441 ^ 2)).
% 0.33/1.41  %-----------------------------------------------------
% 0.33/1.41  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------