%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO259+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n011.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 11:12:22 EDT 2023

% Result   : Theorem 1.59s 2.42s
% Output   : Proof 1.59s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GEO259+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.04/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n011.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri May 19 04:09:48 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 1.59/2.42  
% 1.59/2.42  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 1.59/2.42  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.59/2.42  %-----------------------------------------------------
% 1.59/2.42  ncf(matrix, plain, [(396 ^ _56571) ^ [] : [-(line(391 ^ []))], (398 ^ _56571) ^ [] : [-(distinct_points(392 ^ [], 394 ^ []))], (400 ^ _56571) ^ [] : [-(distinct_points(393 ^ [], 394 ^ []))], (402 ^ _56571) ^ [] : [-(distinct_points(392 ^ [], 393 ^ []))], (404 ^ _56571) ^ [] : [-(between_on_line(391 ^ [], 392 ^ [], 393 ^ [], 394 ^ []))], (406 ^ _56571) ^ [] : [-(between_on_line(391 ^ [], 393 ^ [], 392 ^ [], 394 ^ []))], (12 ^ _56571) ^ [_56969, _56971] : [13 ^ _56571 : [(14 ^ _56571) ^ [] : [left_apart_point(_56971, _56969)], (16 ^ _56571) ^ [] : [left_apart_point(_56971, reverse_line(_56969))]], -(apart_point_and_line(_56971, _56969))], (2 ^ _56571) ^ [_56713, _56715] : [apart_point_and_line(_56715, _56713), -(left_apart_point(_56715, _56713)), -(left_apart_point(_56715, reverse_line(_56713)))], (20 ^ _56571) ^ [_57288, _57290] : [convergent_lines(_57290, _57288), 23 ^ _56571 : [(24 ^ _56571) ^ [] : [-(unequally_directed_lines(_57290, _57288))], (26 ^ _56571) ^ [] : [-(unequally_directed_lines(_57290, reverse_line(_57288)))]]], (28 ^ _56571) ^ [_57529, _57531] : [-(convergent_lines(_57531, _57529)), unequally_directed_lines(_57531, _57529), unequally_directed_lines(_57531, reverse_line(_57529))], (38 ^ _56571) ^ [_57877, _57879, _57881] : [divides_points(_57877, _57881, _57879), 43 ^ _56571 : [(44 ^ _56571) ^ [] : [-(left_apart_point(_57881, _57877))], (46 ^ _56571) ^ [] : [-(left_apart_point(_57879, reverse_line(_57877)))]], 47 ^ _56571 : [(48 ^ _56571) ^ [] : [-(left_apart_point(_57881, reverse_line(_57877)))], (50 ^ _56571) ^ [] : [-(left_apart_point(_57879, _57877))]]], (52 ^ _56571) ^ [_58303, _58305, _58307] : [-(divides_points(_58303, _58307, _58305)), 53 ^ _56571 : [(54 ^ _56571) ^ [] : [left_apart_point(_58307, _58303), left_apart_point(_58305, reverse_line(_58303))], (60 ^ _56571) ^ [] : [left_apart_point(_58307, reverse_line(_58303)), left_apart_point(_58305, _58303)]]], (68 ^ _56571) ^ [_58836, _58838, _58840] : [before_on_line(_58840, _58838, _58836), 71 ^ _56571 : [(72 ^ _56571) ^ [] : [-(distinct_points(_58838, _58836))], (74 ^ _56571) ^ [] : [left_apart_point(_58838, _58840)], (76 ^ _56571) ^ [] : [left_apart_point(_58838, reverse_line(_58840))], (78 ^ _56571) ^ [] : [left_apart_point(_58836, _58840)], (80 ^ _56571) ^ [] : [left_apart_point(_58836, reverse_line(_58840))], (82 ^ _56571) ^ [] : [unequally_directed_lines(_58840, line_connecting(_58838, _58836))]]], (84 ^ _56571) ^ [_59406, _59408, _59410] : [-(before_on_line(_59410, _59408, _59406)), distinct_points(_59408, _59406), -(left_apart_point(_59408, _59410)), -(left_apart_point(_59408, reverse_line(_59410))), -(unequally_directed_lines(_59410, line_connecting(_59408, _59406))), -(left_apart_point(_59406, _59410)), -(left_apart_point(_59406, reverse_line(_59410)))], (110 ^ _56571) ^ [_60175, _60177, _60179, _60181] : [between_on_line(_60181, _60179, _60177, _60175), 115 ^ _56571 : [(116 ^ _56571) ^ [] : [-(before_on_line(_60181, _60179, _60177))], (118 ^ _56571) ^ [] : [-(before_on_line(_60181, _60177, _60175))]], 119 ^ _56571 : [(120 ^ _56571) ^ [] : [-(before_on_line(_60181, _60175, _60177))], (122 ^ _56571) ^ [] : [-(before_on_line(_60181, _60177, _60179))]]], (124 ^ _56571) ^ [_60617, _60619, _60621, _60623] : [-(between_on_line(_60623, _60621, _60619, _60617)), 125 ^ _56571 : [(126 ^ _56571) ^ [] : [before_on_line(_60623, _60621, _60619), before_on_line(_60623, _60619, _60617)], (132 ^ _56571) ^ [] : [before_on_line(_60623, _60617, _60619), before_on_line(_60623, _60619, _60621)]]], (140 ^ _56571) ^ [_61095] : [distinct_points(_61095, _61095)], (142 ^ _56571) ^ [_61216, _61218, _61220] : [distinct_points(_61220, _61218), -(distinct_points(_61220, _61216)), -(distinct_points(_61218, _61216))], (152 ^ _56571) ^ [_61496] : [distinct_lines(_61496, _61496)], (154 ^ _56571) ^ [_61617, _61619, _61621] : [distinct_lines(_61621, _61619), -(distinct_lines(_61621, _61617)), -(distinct_lines(_61619, _61617))], (164 ^ _56571) ^ [_61897] : [unequally_directed_lines(_61897, _61897)], (166 ^ _56571) ^ [_62018, _62020, _62022] : [unequally_directed_lines(_62022, _62020), -(unequally_directed_lines(_62022, _62018)), -(unequally_directed_lines(_62020, _62018))], (176 ^ _56571) ^ [_62342, _62344, _62346] : [unequally_directed_lines(_62346, _62344), unequally_directed_lines(_62346, reverse_line(_62344)), 185 ^ _56571 : [(186 ^ _56571) ^ [] : [-(unequally_directed_lines(_62346, _62342))], (188 ^ _56571) ^ [] : [-(unequally_directed_lines(_62346, reverse_line(_62342)))]], 189 ^ _56571 : [(190 ^ _56571) ^ [] : [-(unequally_directed_lines(_62344, _62342))], (192 ^ _56571) ^ [] : [-(unequally_directed_lines(_62344, reverse_line(_62342)))]]], (194 ^ _56571) ^ [_62913, _62915] : [line(_62915), line(_62913), -(unequally_directed_lines(_62915, _62913)), -(unequally_directed_lines(_62915, reverse_line(_62913)))], (208 ^ _56571) ^ [_63304, _63306] : [unequally_directed_lines(_63306, _63304), unequally_directed_lines(_63306, reverse_line(_63304)), -(left_convergent_lines(_63306, _63304)), -(left_convergent_lines(_63306, reverse_line(_63304)))], (222 ^ _56571) ^ [_63707, _63709] : [left_apart_point(_63709, _63707)], (224 ^ _56571) ^ [_63752, _63754] : [left_apart_point(_63754, reverse_line(_63752))], (226 ^ _56571) ^ [_63869, _63871] : [left_convergent_lines(_63871, _63869)], (228 ^ _56571) ^ [_63914, _63916] : [left_convergent_lines(_63916, reverse_line(_63914))], (230 ^ _56571) ^ [_64027, _64029] : [-(line(line_connecting(_64029, _64027))), point(_64029), point(_64027), distinct_points(_64029, _64027)], (244 ^ _56571) ^ [_64415, _64417] : [-(point(intersection_point(_64417, _64415))), line(_64417), line(_64415), unequally_directed_lines(_64417, _64415), unequally_directed_lines(_64417, reverse_line(_64415))], (262 ^ _56571) ^ [_64896, _64898] : [-(line(parallel_through_point(_64898, _64896))), point(_64896), line(_64898)], (272 ^ _56571) ^ [_65181] : [line(_65181), -(line(reverse_line(_65181)))], (278 ^ _56571) ^ [_65385, _65387] : [distinct_points(_65387, _65385), 281 ^ _56571 : [(282 ^ _56571) ^ [] : [apart_point_and_line(_65387, line_connecting(_65387, _65385))], (284 ^ _56571) ^ [] : [apart_point_and_line(_65385, line_connecting(_65387, _65385))]]], (286 ^ _56571) ^ [_65684, _65686] : [293 ^ _56571 : [(294 ^ _56571) ^ [] : [apart_point_and_line(intersection_point(_65686, _65684), _65686)], (296 ^ _56571) ^ [] : [apart_point_and_line(intersection_point(_65686, _65684), _65684)]], unequally_directed_lines(_65686, _65684), unequally_directed_lines(_65686, reverse_line(_65684))], (298 ^ _56571) ^ [_66060, _66062] : [apart_point_and_line(_66062, parallel_through_point(_66060, _66062))], (300 ^ _56571) ^ [_66142] : [distinct_lines(_66142, reverse_line(_66142))], (302 ^ _56571) ^ [_66235, _66237] : [unequally_directed_lines(line_connecting(_66237, _66235), reverse_line(line_connecting(_66235, _66237)))], (304 ^ _56571) ^ [_66336, _66338] : [unequally_directed_lines(parallel_through_point(_66336, _66338), _66336)], (306 ^ _56571) ^ [_66476, _66478, _66480, _66482] : [distinct_points(_66482, _66480), distinct_lines(_66478, _66476), -(left_apart_point(_66482, _66478)), -(left_apart_point(_66480, _66478)), -(left_apart_point(_66482, _66476)), -(left_apart_point(_66480, _66476)), -(left_apart_point(_66482, reverse_line(_66478))), -(left_apart_point(_66480, reverse_line(_66478))), -(left_apart_point(_66482, reverse_line(_66476))), -(left_apart_point(_66480, reverse_line(_66476)))], (344 ^ _56571) ^ [_67513, _67515, _67517] : [distinct_points(_67517, _67515), left_apart_point(_67517, _67513), -(left_apart_point(_67515, _67513)), -(left_convergent_lines(line_connecting(_67517, _67515), _67513))], (358 ^ _56571) ^ [_67938, _67940, _67942] : [left_apart_point(_67942, _67938), -(distinct_points(_67942, _67940)), -(left_apart_point(_67940, _67938))], (382 ^ _56571) ^ [_68665, _68667, _68669] : [left_convergent_lines(_68669, _68667), -(unequally_directed_lines(_68667, _68665)), -(left_convergent_lines(_68669, _68665))], (368 ^ _56571) ^ [_68262, _68264, _68266] : [left_apart_point(_68266, _68264), unequally_directed_lines(_68264, _68262), -(distinct_lines(_68264, _68262)), -(left_apart_point(_68266, reverse_line(_68262)))]], input).
% 1.59/2.42  ncf('1',plain,[unequally_directed_lines(line_connecting(_35175, _35175), reverse_line(line_connecting(_35175, _35175)))],start(302 ^ 0,bind([[_66235, _66237], [_35175, _35175]]))).
% 1.59/2.42  ncf('1.1',plain,[-(unequally_directed_lines(line_connecting(_35175, _35175), reverse_line(line_connecting(_35175, _35175)))), unequally_directed_lines(391 ^ [], line_connecting(_35175, _35175)), -(unequally_directed_lines(391 ^ [], reverse_line(line_connecting(_35175, _35175))))],extension(166 ^ 1,bind([[_62018, _62020, _62022], [reverse_line(line_connecting(_35175, _35175)), line_connecting(_35175, _35175), 391 ^ []]]))).
% 1.59/2.42  ncf('1.1.1',plain,[-(unequally_directed_lines(391 ^ [], line_connecting(_35175, _35175))), unequally_directed_lines(391 ^ [], reverse_line(391 ^ [])), -(unequally_directed_lines(reverse_line(391 ^ []), line_connecting(_35175, _35175)))],extension(166 ^ 2,bind([[_62018, _62020, _62022], [line_connecting(_35175, _35175), reverse_line(391 ^ []), 391 ^ []]]))).
% 1.59/2.42  ncf('1.1.1.1',plain,[-(unequally_directed_lines(391 ^ [], reverse_line(391 ^ []))), unequally_directed_lines(391 ^ [], 391 ^ []), -(unequally_directed_lines(391 ^ [], reverse_line(391 ^ [])))],extension(166 ^ 3,bind([[_62018, _62020, _62022], [reverse_line(391 ^ []), 391 ^ [], 391 ^ []]]))).
% 1.59/2.42  ncf('1.1.1.1.1',plain,[-(unequally_directed_lines(391 ^ [], 391 ^ [])), line(391 ^ []), line(391 ^ []), -(unequally_directed_lines(391 ^ [], reverse_line(391 ^ [])))],extension(194 ^ 4,bind([[_62913, _62915], [391 ^ [], 391 ^ []]]))).
% 1.59/2.42  ncf('1.1.1.1.1.1',plain,[-(line(391 ^ []))],extension(396 ^ 5)).
% 1.59/2.42  ncf('1.1.1.1.1.2',plain,[-(line(391 ^ []))],extension(396 ^ 5)).
% 1.59/2.42  ncf('1.1.1.1.1.3',plain,[unequally_directed_lines(391 ^ [], reverse_line(391 ^ []))],reduction('1.1.1')).
% 1.59/2.42  ncf('1.1.1.1.2',plain,[unequally_directed_lines(391 ^ [], reverse_line(391 ^ []))],reduction('1.1.1')).
% 1.59/2.42  ncf('1.1.1.2',plain,[unequally_directed_lines(reverse_line(391 ^ []), line_connecting(_35175, _35175)), unequally_directed_lines(reverse_line(391 ^ []), reverse_line(line_connecting(_35175, _35175))), -(left_convergent_lines(reverse_line(391 ^ []), line_connecting(_35175, _35175))), -(left_convergent_lines(reverse_line(391 ^ []), reverse_line(line_connecting(_35175, _35175))))],extension(208 ^ 3,bind([[_63304, _63306], [line_connecting(_35175, _35175), reverse_line(391 ^ [])]]))).
% 1.59/2.42  ncf('1.1.1.2.1',plain,[-(unequally_directed_lines(reverse_line(391 ^ []), reverse_line(line_connecting(_35175, _35175)))), unequally_directed_lines(reverse_line(391 ^ []), line_connecting(_35175, _35175)), -(unequally_directed_lines(line_connecting(_35175, _35175), reverse_line(line_connecting(_35175, _35175))))],extension(166 ^ 4,bind([[_62018, _62020, _62022], [reverse_line(line_connecting(_35175, _35175)), line_connecting(_35175, _35175), reverse_line(391 ^ [])]]))).
% 1.59/2.42  ncf('1.1.1.2.1.1',plain,[-(unequally_directed_lines(reverse_line(391 ^ []), line_connecting(_35175, _35175)))],reduction('1.1.1')).
% 1.59/2.42  ncf('1.1.1.2.1.2',plain,[unequally_directed_lines(line_connecting(_35175, _35175), reverse_line(line_connecting(_35175, _35175)))],reduction('1')).
% 1.59/2.42  ncf('1.1.1.2.2',plain,[left_convergent_lines(reverse_line(391 ^ []), line_connecting(_35175, _35175))],extension(226 ^ 4,bind([[_63869, _63871], [line_connecting(_35175, _35175), reverse_line(391 ^ [])]]))).
% 1.59/2.42  ncf('1.1.1.2.3',plain,[left_convergent_lines(reverse_line(391 ^ []), reverse_line(line_connecting(_35175, _35175)))],extension(226 ^ 4,bind([[_63869, _63871], [reverse_line(line_connecting(_35175, _35175)), reverse_line(391 ^ [])]]))).
% 1.59/2.42  ncf('1.1.2',plain,[unequally_directed_lines(391 ^ [], reverse_line(line_connecting(_35175, _35175))), unequally_directed_lines(391 ^ [], line_connecting(_35175, _35175)), 186 : -(unequally_directed_lines(391 ^ [], 391 ^ [])), 190 : -(unequally_directed_lines(line_connecting(_35175, _35175), 391 ^ []))],extension(176 ^ 2,bind([[_62342, _62344, _62346], [391 ^ [], line_connecting(_35175, _35175), 391 ^ []]]))).
% 1.59/2.42  ncf('1.1.2.1',plain,[-(unequally_directed_lines(391 ^ [], line_connecting(_35175, _35175)))],lemmata('[1].x')).
% 1.59/2.42  ncf('1.1.2.2',plain,[unequally_directed_lines(391 ^ [], 391 ^ [])],extension(164 ^ 5,bind([[_61897], [391 ^ []]]))).
% 1.59/2.42  ncf('1.1.2.3',plain,[unequally_directed_lines(line_connecting(_35175, _35175), 391 ^ []), unequally_directed_lines(line_connecting(_35175, _35175), reverse_line(391 ^ [])), -(left_convergent_lines(line_connecting(_35175, _35175), 391 ^ [])), -(left_convergent_lines(line_connecting(_35175, _35175), reverse_line(391 ^ [])))],extension(208 ^ 5,bind([[_63304, _63306], [391 ^ [], line_connecting(_35175, _35175)]]))).
% 1.59/2.42  ncf('1.1.2.3.1',plain,[-(unequally_directed_lines(line_connecting(_35175, _35175), reverse_line(391 ^ [])))],extension(192 ^ 6)).
% 1.59/2.42  ncf('1.1.2.3.2',plain,[left_convergent_lines(line_connecting(_35175, _35175), 391 ^ [])],extension(226 ^ 6,bind([[_63869, _63871], [391 ^ [], line_connecting(_35175, _35175)]]))).
% 1.59/2.42  ncf('1.1.2.3.3',plain,[left_convergent_lines(line_connecting(_35175, _35175), reverse_line(391 ^ []))],extension(226 ^ 6,bind([[_63869, _63871], [reverse_line(391 ^ []), line_connecting(_35175, _35175)]]))).
% 1.59/2.42  %-----------------------------------------------------
% 1.59/2.42  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------