%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO227+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n013.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 11:12:18 EDT 2023

% Result   : Theorem 0.38s 1.39s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO227+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.15/0.35  % Computer : n013.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Fri May 19 04:28:20 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.38/1.39  
% 0.38/1.39  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.38/1.39  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/1.39  %-----------------------------------------------------
% 0.38/1.39  ncf(matrix, plain, [(438 ^ _55761) ^ [] : [-(equally_directed_lines(435 ^ [], 436 ^ []))], (440 ^ _55761) ^ [] : [-(equally_directed_opposite_lines(435 ^ [], 436 ^ []))], (2 ^ _55761) ^ [_55903, _55905] : [unequally_directed_opposite_lines(_55905, _55903), -(unequally_directed_lines(_55905, reverse_line(_55903)))], (8 ^ _55761) ^ [_56069, _56071] : [unequally_directed_lines(_56071, reverse_line(_56069)), -(unequally_directed_opposite_lines(_56071, _56069))], (14 ^ _55761) ^ [_56314, _56316] : [right_apart_point(_56316, _56314), -(left_apart_point(_56316, reverse_line(_56314)))], (20 ^ _55761) ^ [_56480, _56482] : [left_apart_point(_56482, reverse_line(_56480)), -(right_apart_point(_56482, _56480))], (26 ^ _55761) ^ [_56725, _56727] : [right_convergent_lines(_56727, _56725), -(left_convergent_lines(_56727, reverse_line(_56725)))], (32 ^ _55761) ^ [_56891, _56893] : [left_convergent_lines(_56893, reverse_line(_56891)), -(right_convergent_lines(_56893, _56891))], (38 ^ _55761) ^ [_57136, _57138] : [equally_directed_lines(_57138, _57136), unequally_directed_lines(_57138, _57136)], (44 ^ _55761) ^ [_57299, _57301] : [-(unequally_directed_lines(_57301, _57299)), -(equally_directed_lines(_57301, _57299))], (50 ^ _55761) ^ [_57543, _57545] : [equally_directed_opposite_lines(_57545, _57543), unequally_directed_opposite_lines(_57545, _57543)], (56 ^ _55761) ^ [_57706, _57708] : [-(unequally_directed_opposite_lines(_57708, _57706)), -(equally_directed_opposite_lines(_57708, _57706))], (72 ^ _55761) ^ [_58202, _58204] : [73 ^ _55761 : [(74 ^ _55761) ^ [] : [left_apart_point(_58204, _58202)], (76 ^ _55761) ^ [] : [right_apart_point(_58204, _58202)]], -(apart_point_and_line(_58204, _58202))], (62 ^ _55761) ^ [_57950, _57952] : [apart_point_and_line(_57952, _57950), -(left_apart_point(_57952, _57950)), -(right_apart_point(_57952, _57950))], (80 ^ _55761) ^ [_58517, _58519] : [convergent_lines(_58519, _58517), 83 ^ _55761 : [(84 ^ _55761) ^ [] : [-(unequally_directed_lines(_58519, _58517))], (86 ^ _55761) ^ [] : [-(unequally_directed_opposite_lines(_58519, _58517))]]], (88 ^ _55761) ^ [_58754, _58756] : [-(convergent_lines(_58756, _58754)), unequally_directed_lines(_58756, _58754), unequally_directed_opposite_lines(_58756, _58754)], (98 ^ _55761) ^ [_59098, _59100, _59102] : [divides_points(_59098, _59102, _59100), 103 ^ _55761 : [(104 ^ _55761) ^ [] : [-(left_apart_point(_59102, _59098))], (106 ^ _55761) ^ [] : [-(right_apart_point(_59100, _59098))]], 107 ^ _55761 : [(108 ^ _55761) ^ [] : [-(right_apart_point(_59102, _59098))], (110 ^ _55761) ^ [] : [-(left_apart_point(_59100, _59098))]]], (112 ^ _55761) ^ [_59516, _59518, _59520] : [-(divides_points(_59516, _59520, _59518)), 113 ^ _55761 : [(114 ^ _55761) ^ [] : [left_apart_point(_59520, _59516), right_apart_point(_59518, _59516)], (120 ^ _55761) ^ [] : [right_apart_point(_59520, _59516), left_apart_point(_59518, _59516)]]], (128 ^ _55761) ^ [_60041, _60043, _60045] : [before_on_line(_60045, _60043, _60041), 131 ^ _55761 : [(132 ^ _55761) ^ [] : [-(distinct_points(_60043, _60041))], (134 ^ _55761) ^ [] : [-(incident_point_and_line(_60043, _60045))], (136 ^ _55761) ^ [] : [-(incident_point_and_line(_60041, _60045))], (138 ^ _55761) ^ [] : [-(equally_directed_lines(_60045, line_connecting(_60043, _60041)))]]], (140 ^ _55761) ^ [_60446, _60448, _60450] : [-(before_on_line(_60450, _60448, _60446)), distinct_points(_60448, _60446), incident_point_and_line(_60448, _60450), incident_point_and_line(_60446, _60450), equally_directed_lines(_60450, line_connecting(_60448, _60446))], (158 ^ _55761) ^ [_61008, _61010, _61012, _61014] : [between_on_line(_61014, _61012, _61010, _61008), 163 ^ _55761 : [(164 ^ _55761) ^ [] : [-(before_on_line(_61014, _61012, _61010))], (166 ^ _55761) ^ [] : [-(before_on_line(_61014, _61010, _61008))]], 167 ^ _55761 : [(168 ^ _55761) ^ [] : [-(before_on_line(_61014, _61008, _61010))], (170 ^ _55761) ^ [] : [-(before_on_line(_61014, _61010, _61012))]]], (172 ^ _55761) ^ [_61450, _61452, _61454, _61456] : [-(between_on_line(_61456, _61454, _61452, _61450)), 173 ^ _55761 : [(174 ^ _55761) ^ [] : [before_on_line(_61456, _61454, _61452), before_on_line(_61456, _61452, _61450)], (180 ^ _55761) ^ [] : [before_on_line(_61456, _61450, _61452), before_on_line(_61456, _61452, _61454)]]], (188 ^ _55761) ^ [_61928] : [distinct_points(_61928, _61928)], (190 ^ _55761) ^ [_62049, _62051, _62053] : [distinct_points(_62053, _62051), -(distinct_points(_62053, _62049)), -(distinct_points(_62051, _62049))], (200 ^ _55761) ^ [_62329] : [distinct_lines(_62329, _62329)], (202 ^ _55761) ^ [_62450, _62452, _62454] : [distinct_lines(_62454, _62452), -(distinct_lines(_62454, _62450)), -(distinct_lines(_62452, _62450))], (212 ^ _55761) ^ [_62731] : [-(equally_directed_lines(_62731, _62731))], (214 ^ _55761) ^ [_62852, _62854, _62856] : [unequally_directed_lines(_62856, _62854), -(unequally_directed_lines(_62856, _62852)), -(unequally_directed_lines(_62854, _62852))], (224 ^ _55761) ^ [_63176, _63178, _63180] : [unequally_directed_lines(_63180, _63178), unequally_directed_lines(_63180, reverse_line(_63178)), 233 ^ _55761 : [(234 ^ _55761) ^ [] : [-(unequally_directed_lines(_63180, _63176))], (236 ^ _55761) ^ [] : [-(unequally_directed_lines(_63180, reverse_line(_63176)))]], 237 ^ _55761 : [(238 ^ _55761) ^ [] : [-(unequally_directed_lines(_63178, _63176))], (240 ^ _55761) ^ [] : [-(unequally_directed_lines(_63178, reverse_line(_63176)))]]], (242 ^ _55761) ^ [_63747, _63749] : [-(unequally_directed_lines(_63749, _63747)), -(unequally_directed_lines(_63749, reverse_line(_63747)))], (248 ^ _55761) ^ [_63962, _63964] : [unequally_directed_lines(_63964, _63962), unequally_directed_lines(_63964, reverse_line(_63962)), -(left_convergent_lines(_63964, _63962)), -(left_convergent_lines(_63964, reverse_line(_63962)))], (262 ^ _55761) ^ [_64365, _64367] : [left_apart_point(_64367, _64365)], (264 ^ _55761) ^ [_64410, _64412] : [left_apart_point(_64412, reverse_line(_64410))], (266 ^ _55761) ^ [_64527, _64529] : [left_convergent_lines(_64529, _64527)], (268 ^ _55761) ^ [_64572, _64574] : [left_convergent_lines(_64574, reverse_line(_64572))], (270 ^ _55761) ^ [_64685, _64687] : [-(line(line_connecting(_64687, _64685))), point(_64687), point(_64685), distinct_points(_64687, _64685)], (284 ^ _55761) ^ [_65073, _65075] : [-(point(intersection_point(_65075, _65073))), line(_65075), line(_65073), unequally_directed_lines(_65075, _65073), unequally_directed_lines(_65075, reverse_line(_65073))], (302 ^ _55761) ^ [_65554, _65556] : [-(line(parallel_through_point(_65556, _65554))), point(_65554), line(_65556)], (312 ^ _55761) ^ [_65839] : [line(_65839), -(line(reverse_line(_65839)))], (318 ^ _55761) ^ [_66043, _66045] : [distinct_points(_66045, _66043), 321 ^ _55761 : [(322 ^ _55761) ^ [] : [apart_point_and_line(_66045, line_connecting(_66045, _66043))], (324 ^ _55761) ^ [] : [apart_point_and_line(_66043, line_connecting(_66045, _66043))]]], (326 ^ _55761) ^ [_66342, _66344] : [333 ^ _55761 : [(334 ^ _55761) ^ [] : [apart_point_and_line(intersection_point(_66344, _66342), _66344)], (336 ^ _55761) ^ [] : [apart_point_and_line(intersection_point(_66344, _66342), _66342)]], unequally_directed_lines(_66344, _66342), unequally_directed_lines(_66344, reverse_line(_66342))], (338 ^ _55761) ^ [_66718, _66720] : [apart_point_and_line(_66720, parallel_through_point(_66718, _66720))], (340 ^ _55761) ^ [_66800] : [distinct_lines(_66800, reverse_line(_66800))], (342 ^ _55761) ^ [_66909, _66911] : [distinct_points(_66911, _66909), -(equally_directed_lines(line_connecting(_66911, _66909), reverse_line(line_connecting(_66909, _66911))))], (348 ^ _55761) ^ [_67120, _67122] : [-(equally_directed_lines(parallel_through_point(_67120, _67122), _67120))], (350 ^ _55761) ^ [_67260, _67262, _67264, _67266] : [distinct_points(_67266, _67264), distinct_lines(_67262, _67260), -(left_apart_point(_67266, _67262)), -(left_apart_point(_67264, _67262)), -(left_apart_point(_67266, _67260)), -(left_apart_point(_67264, _67260)), -(left_apart_point(_67266, reverse_line(_67262))), -(left_apart_point(_67264, reverse_line(_67262))), -(left_apart_point(_67266, reverse_line(_67260))), -(left_apart_point(_67264, reverse_line(_67260)))], (388 ^ _55761) ^ [_68297, _68299, _68301] : [distinct_points(_68301, _68299), left_apart_point(_68301, _68297), -(left_apart_point(_68299, _68297)), -(left_convergent_lines(line_connecting(_68301, _68299), _68297))], (402 ^ _55761) ^ [_68722, _68724, _68726] : [left_apart_point(_68726, _68722), -(distinct_points(_68726, _68724)), -(left_apart_point(_68724, _68722))], (426 ^ _55761) ^ [_69449, _69451, _69453] : [left_convergent_lines(_69453, _69451), -(unequally_directed_lines(_69451, _69449)), -(left_convergent_lines(_69453, _69449))], (412 ^ _55761) ^ [_69046, _69048, _69050] : [left_apart_point(_69050, _69048), unequally_directed_lines(_69048, _69046), -(distinct_lines(_69048, _69046)), -(left_apart_point(_69050, reverse_line(_69046)))]], input).
% 0.38/1.39  ncf('1',plain,[equally_directed_lines(435 ^ [], 436 ^ []), unequally_directed_lines(435 ^ [], 436 ^ [])],start(38 ^ 0,bind([[_57136, _57138], [436 ^ [], 435 ^ []]]))).
% 0.38/1.39  ncf('1.1',plain,[-(equally_directed_lines(435 ^ [], 436 ^ []))],extension(438 ^ 1)).
% 0.38/1.39  ncf('1.2',plain,[-(unequally_directed_lines(435 ^ [], 436 ^ [])), -(unequally_directed_lines(435 ^ [], reverse_line(436 ^ [])))],extension(242 ^ 1,bind([[_63747, _63749], [436 ^ [], 435 ^ []]]))).
% 0.38/1.39  ncf('1.2.1',plain,[unequally_directed_lines(435 ^ [], reverse_line(436 ^ [])), -(unequally_directed_opposite_lines(435 ^ [], 436 ^ []))],extension(8 ^ 2,bind([[_56069, _56071], [436 ^ [], 435 ^ []]]))).
% 0.38/1.39  ncf('1.2.1.1',plain,[unequally_directed_opposite_lines(435 ^ [], 436 ^ []), equally_directed_opposite_lines(435 ^ [], 436 ^ [])],extension(50 ^ 3,bind([[_57543, _57545], [436 ^ [], 435 ^ []]]))).
% 0.38/1.39  ncf('1.2.1.1.1',plain,[-(equally_directed_opposite_lines(435 ^ [], 436 ^ []))],extension(440 ^ 4)).
% 0.38/1.39  %-----------------------------------------------------
% 0.38/1.39  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------