%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO255+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 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 11:12:22 EDT 2023

% Result   : Theorem 1.52s 2.42s
% Output   : Proof 1.52s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO255+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri May 19 04:35:27 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 1.52/2.42  
% 1.52/2.42  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 1.52/2.42  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.52/2.42  %-----------------------------------------------------
% 1.52/2.42  ncf(matrix, plain, [(395 ^ _55558) ^ [] : [-(line(391 ^ []))], (397 ^ _55558) ^ [] : [-(distinct_points(392 ^ [], 393 ^ []))], (399 ^ _55558) ^ [] : [-(before_on_line(391 ^ [], 392 ^ [], 393 ^ []))], (401 ^ _55558) ^ [] : [-(before_on_line(391 ^ [], 393 ^ [], 392 ^ []))], (12 ^ _55558) ^ [_55956, _55958] : [13 ^ _55558 : [(14 ^ _55558) ^ [] : [left_apart_point(_55958, _55956)], (16 ^ _55558) ^ [] : [left_apart_point(_55958, reverse_line(_55956))]], -(apart_point_and_line(_55958, _55956))], (2 ^ _55558) ^ [_55700, _55702] : [apart_point_and_line(_55702, _55700), -(left_apart_point(_55702, _55700)), -(left_apart_point(_55702, reverse_line(_55700)))], (20 ^ _55558) ^ [_56275, _56277] : [convergent_lines(_56277, _56275), 23 ^ _55558 : [(24 ^ _55558) ^ [] : [-(unequally_directed_lines(_56277, _56275))], (26 ^ _55558) ^ [] : [-(unequally_directed_lines(_56277, reverse_line(_56275)))]]], (28 ^ _55558) ^ [_56516, _56518] : [-(convergent_lines(_56518, _56516)), unequally_directed_lines(_56518, _56516), unequally_directed_lines(_56518, reverse_line(_56516))], (38 ^ _55558) ^ [_56864, _56866, _56868] : [divides_points(_56864, _56868, _56866), 43 ^ _55558 : [(44 ^ _55558) ^ [] : [-(left_apart_point(_56868, _56864))], (46 ^ _55558) ^ [] : [-(left_apart_point(_56866, reverse_line(_56864)))]], 47 ^ _55558 : [(48 ^ _55558) ^ [] : [-(left_apart_point(_56868, reverse_line(_56864)))], (50 ^ _55558) ^ [] : [-(left_apart_point(_56866, _56864))]]], (52 ^ _55558) ^ [_57290, _57292, _57294] : [-(divides_points(_57290, _57294, _57292)), 53 ^ _55558 : [(54 ^ _55558) ^ [] : [left_apart_point(_57294, _57290), left_apart_point(_57292, reverse_line(_57290))], (60 ^ _55558) ^ [] : [left_apart_point(_57294, reverse_line(_57290)), left_apart_point(_57292, _57290)]]], (68 ^ _55558) ^ [_57823, _57825, _57827] : [before_on_line(_57827, _57825, _57823), 71 ^ _55558 : [(72 ^ _55558) ^ [] : [-(distinct_points(_57825, _57823))], (74 ^ _55558) ^ [] : [left_apart_point(_57825, _57827)], (76 ^ _55558) ^ [] : [left_apart_point(_57825, reverse_line(_57827))], (78 ^ _55558) ^ [] : [left_apart_point(_57823, _57827)], (80 ^ _55558) ^ [] : [left_apart_point(_57823, reverse_line(_57827))], (82 ^ _55558) ^ [] : [unequally_directed_lines(_57827, line_connecting(_57825, _57823))]]], (84 ^ _55558) ^ [_58393, _58395, _58397] : [-(before_on_line(_58397, _58395, _58393)), distinct_points(_58395, _58393), -(left_apart_point(_58395, _58397)), -(left_apart_point(_58395, reverse_line(_58397))), -(unequally_directed_lines(_58397, line_connecting(_58395, _58393))), -(left_apart_point(_58393, _58397)), -(left_apart_point(_58393, reverse_line(_58397)))], (110 ^ _55558) ^ [_59162, _59164, _59166, _59168] : [between_on_line(_59168, _59166, _59164, _59162), 115 ^ _55558 : [(116 ^ _55558) ^ [] : [-(before_on_line(_59168, _59166, _59164))], (118 ^ _55558) ^ [] : [-(before_on_line(_59168, _59164, _59162))]], 119 ^ _55558 : [(120 ^ _55558) ^ [] : [-(before_on_line(_59168, _59162, _59164))], (122 ^ _55558) ^ [] : [-(before_on_line(_59168, _59164, _59166))]]], (124 ^ _55558) ^ [_59604, _59606, _59608, _59610] : [-(between_on_line(_59610, _59608, _59606, _59604)), 125 ^ _55558 : [(126 ^ _55558) ^ [] : [before_on_line(_59610, _59608, _59606), before_on_line(_59610, _59606, _59604)], (132 ^ _55558) ^ [] : [before_on_line(_59610, _59604, _59606), before_on_line(_59610, _59606, _59608)]]], (140 ^ _55558) ^ [_60082] : [distinct_points(_60082, _60082)], (142 ^ _55558) ^ [_60203, _60205, _60207] : [distinct_points(_60207, _60205), -(distinct_points(_60207, _60203)), -(distinct_points(_60205, _60203))], (152 ^ _55558) ^ [_60483] : [distinct_lines(_60483, _60483)], (154 ^ _55558) ^ [_60604, _60606, _60608] : [distinct_lines(_60608, _60606), -(distinct_lines(_60608, _60604)), -(distinct_lines(_60606, _60604))], (164 ^ _55558) ^ [_60884] : [unequally_directed_lines(_60884, _60884)], (166 ^ _55558) ^ [_61005, _61007, _61009] : [unequally_directed_lines(_61009, _61007), -(unequally_directed_lines(_61009, _61005)), -(unequally_directed_lines(_61007, _61005))], (176 ^ _55558) ^ [_61329, _61331, _61333] : [unequally_directed_lines(_61333, _61331), unequally_directed_lines(_61333, reverse_line(_61331)), 185 ^ _55558 : [(186 ^ _55558) ^ [] : [-(unequally_directed_lines(_61333, _61329))], (188 ^ _55558) ^ [] : [-(unequally_directed_lines(_61333, reverse_line(_61329)))]], 189 ^ _55558 : [(190 ^ _55558) ^ [] : [-(unequally_directed_lines(_61331, _61329))], (192 ^ _55558) ^ [] : [-(unequally_directed_lines(_61331, reverse_line(_61329)))]]], (194 ^ _55558) ^ [_61900, _61902] : [line(_61902), line(_61900), -(unequally_directed_lines(_61902, _61900)), -(unequally_directed_lines(_61902, reverse_line(_61900)))], (208 ^ _55558) ^ [_62291, _62293] : [unequally_directed_lines(_62293, _62291), unequally_directed_lines(_62293, reverse_line(_62291)), -(left_convergent_lines(_62293, _62291)), -(left_convergent_lines(_62293, reverse_line(_62291)))], (222 ^ _55558) ^ [_62694, _62696] : [left_apart_point(_62696, _62694)], (224 ^ _55558) ^ [_62739, _62741] : [left_apart_point(_62741, reverse_line(_62739))], (226 ^ _55558) ^ [_62856, _62858] : [left_convergent_lines(_62858, _62856)], (228 ^ _55558) ^ [_62901, _62903] : [left_convergent_lines(_62903, reverse_line(_62901))], (230 ^ _55558) ^ [_63014, _63016] : [-(line(line_connecting(_63016, _63014))), point(_63016), point(_63014), distinct_points(_63016, _63014)], (244 ^ _55558) ^ [_63402, _63404] : [-(point(intersection_point(_63404, _63402))), line(_63404), line(_63402), unequally_directed_lines(_63404, _63402), unequally_directed_lines(_63404, reverse_line(_63402))], (262 ^ _55558) ^ [_63883, _63885] : [-(line(parallel_through_point(_63885, _63883))), point(_63883), line(_63885)], (272 ^ _55558) ^ [_64168] : [line(_64168), -(line(reverse_line(_64168)))], (278 ^ _55558) ^ [_64372, _64374] : [distinct_points(_64374, _64372), 281 ^ _55558 : [(282 ^ _55558) ^ [] : [apart_point_and_line(_64374, line_connecting(_64374, _64372))], (284 ^ _55558) ^ [] : [apart_point_and_line(_64372, line_connecting(_64374, _64372))]]], (286 ^ _55558) ^ [_64671, _64673] : [293 ^ _55558 : [(294 ^ _55558) ^ [] : [apart_point_and_line(intersection_point(_64673, _64671), _64673)], (296 ^ _55558) ^ [] : [apart_point_and_line(intersection_point(_64673, _64671), _64671)]], unequally_directed_lines(_64673, _64671), unequally_directed_lines(_64673, reverse_line(_64671))], (298 ^ _55558) ^ [_65047, _65049] : [apart_point_and_line(_65049, parallel_through_point(_65047, _65049))], (300 ^ _55558) ^ [_65129] : [distinct_lines(_65129, reverse_line(_65129))], (302 ^ _55558) ^ [_65222, _65224] : [unequally_directed_lines(line_connecting(_65224, _65222), reverse_line(line_connecting(_65222, _65224)))], (304 ^ _55558) ^ [_65323, _65325] : [unequally_directed_lines(parallel_through_point(_65323, _65325), _65323)], (306 ^ _55558) ^ [_65463, _65465, _65467, _65469] : [distinct_points(_65469, _65467), distinct_lines(_65465, _65463), -(left_apart_point(_65469, _65465)), -(left_apart_point(_65467, _65465)), -(left_apart_point(_65469, _65463)), -(left_apart_point(_65467, _65463)), -(left_apart_point(_65469, reverse_line(_65465))), -(left_apart_point(_65467, reverse_line(_65465))), -(left_apart_point(_65469, reverse_line(_65463))), -(left_apart_point(_65467, reverse_line(_65463)))], (344 ^ _55558) ^ [_66500, _66502, _66504] : [distinct_points(_66504, _66502), left_apart_point(_66504, _66500), -(left_apart_point(_66502, _66500)), -(left_convergent_lines(line_connecting(_66504, _66502), _66500))], (358 ^ _55558) ^ [_66925, _66927, _66929] : [left_apart_point(_66929, _66925), -(distinct_points(_66929, _66927)), -(left_apart_point(_66927, _66925))], (382 ^ _55558) ^ [_67652, _67654, _67656] : [left_convergent_lines(_67656, _67654), -(unequally_directed_lines(_67654, _67652)), -(left_convergent_lines(_67656, _67652))], (368 ^ _55558) ^ [_67249, _67251, _67253] : [left_apart_point(_67253, _67251), unequally_directed_lines(_67251, _67249), -(distinct_lines(_67251, _67249)), -(left_apart_point(_67253, reverse_line(_67249)))]], input).
% 1.52/2.42  ncf('1',plain,[unequally_directed_lines(line_connecting(_34650, _34650), reverse_line(line_connecting(_34650, _34650)))],start(302 ^ 0,bind([[_65222, _65224], [_34650, _34650]]))).
% 1.52/2.42  ncf('1.1',plain,[-(unequally_directed_lines(line_connecting(_34650, _34650), reverse_line(line_connecting(_34650, _34650)))), unequally_directed_lines(391 ^ [], line_connecting(_34650, _34650)), -(unequally_directed_lines(391 ^ [], reverse_line(line_connecting(_34650, _34650))))],extension(166 ^ 1,bind([[_61005, _61007, _61009], [reverse_line(line_connecting(_34650, _34650)), line_connecting(_34650, _34650), 391 ^ []]]))).
% 1.52/2.42  ncf('1.1.1',plain,[-(unequally_directed_lines(391 ^ [], line_connecting(_34650, _34650))), unequally_directed_lines(391 ^ [], reverse_line(391 ^ [])), -(unequally_directed_lines(reverse_line(391 ^ []), line_connecting(_34650, _34650)))],extension(166 ^ 2,bind([[_61005, _61007, _61009], [line_connecting(_34650, _34650), reverse_line(391 ^ []), 391 ^ []]]))).
% 1.52/2.42  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([[_61005, _61007, _61009], [reverse_line(391 ^ []), 391 ^ [], 391 ^ []]]))).
% 1.52/2.42  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([[_61900, _61902], [391 ^ [], 391 ^ []]]))).
% 1.52/2.42  ncf('1.1.1.1.1.1',plain,[-(line(391 ^ []))],extension(395 ^ 5)).
% 1.52/2.42  ncf('1.1.1.1.1.2',plain,[-(line(391 ^ []))],extension(395 ^ 5)).
% 1.52/2.42  ncf('1.1.1.1.1.3',plain,[unequally_directed_lines(391 ^ [], reverse_line(391 ^ []))],reduction('1.1.1')).
% 1.52/2.42  ncf('1.1.1.1.2',plain,[unequally_directed_lines(391 ^ [], reverse_line(391 ^ []))],reduction('1.1.1')).
% 1.52/2.42  ncf('1.1.1.2',plain,[unequally_directed_lines(reverse_line(391 ^ []), line_connecting(_34650, _34650)), unequally_directed_lines(reverse_line(391 ^ []), reverse_line(line_connecting(_34650, _34650))), -(left_convergent_lines(reverse_line(391 ^ []), line_connecting(_34650, _34650))), -(left_convergent_lines(reverse_line(391 ^ []), reverse_line(line_connecting(_34650, _34650))))],extension(208 ^ 3,bind([[_62291, _62293], [line_connecting(_34650, _34650), reverse_line(391 ^ [])]]))).
% 1.52/2.42  ncf('1.1.1.2.1',plain,[-(unequally_directed_lines(reverse_line(391 ^ []), reverse_line(line_connecting(_34650, _34650)))), unequally_directed_lines(reverse_line(391 ^ []), line_connecting(_34650, _34650)), -(unequally_directed_lines(line_connecting(_34650, _34650), reverse_line(line_connecting(_34650, _34650))))],extension(166 ^ 4,bind([[_61005, _61007, _61009], [reverse_line(line_connecting(_34650, _34650)), line_connecting(_34650, _34650), reverse_line(391 ^ [])]]))).
% 1.52/2.42  ncf('1.1.1.2.1.1',plain,[-(unequally_directed_lines(reverse_line(391 ^ []), line_connecting(_34650, _34650)))],reduction('1.1.1')).
% 1.52/2.42  ncf('1.1.1.2.1.2',plain,[unequally_directed_lines(line_connecting(_34650, _34650), reverse_line(line_connecting(_34650, _34650)))],reduction('1')).
% 1.52/2.42  ncf('1.1.1.2.2',plain,[left_convergent_lines(reverse_line(391 ^ []), line_connecting(_34650, _34650))],extension(226 ^ 4,bind([[_62856, _62858], [line_connecting(_34650, _34650), reverse_line(391 ^ [])]]))).
% 1.52/2.42  ncf('1.1.1.2.3',plain,[left_convergent_lines(reverse_line(391 ^ []), reverse_line(line_connecting(_34650, _34650)))],extension(226 ^ 4,bind([[_62856, _62858], [reverse_line(line_connecting(_34650, _34650)), reverse_line(391 ^ [])]]))).
% 1.52/2.42  ncf('1.1.2',plain,[unequally_directed_lines(391 ^ [], reverse_line(line_connecting(_34650, _34650))), unequally_directed_lines(391 ^ [], line_connecting(_34650, _34650)), 186 : -(unequally_directed_lines(391 ^ [], line_connecting(392 ^ [], 393 ^ []))), 190 : -(unequally_directed_lines(line_connecting(_34650, _34650), line_connecting(392 ^ [], 393 ^ [])))],extension(176 ^ 2,bind([[_61329, _61331, _61333], [line_connecting(392 ^ [], 393 ^ []), line_connecting(_34650, _34650), 391 ^ []]]))).
% 1.52/2.42  ncf('1.1.2.1',plain,[-(unequally_directed_lines(391 ^ [], line_connecting(_34650, _34650)))],lemmata('[1].x')).
% 1.52/2.42  ncf('1.1.2.2',plain,[unequally_directed_lines(391 ^ [], line_connecting(392 ^ [], 393 ^ [])), before_on_line(391 ^ [], 392 ^ [], 393 ^ [])],extension(68 ^ 5,bind([[_57823, _57825, _57827], [393 ^ [], 392 ^ [], 391 ^ []]]))).
% 1.52/2.42  ncf('1.1.2.2.1',plain,[-(before_on_line(391 ^ [], 392 ^ [], 393 ^ []))],extension(399 ^ 6)).
% 1.52/2.42  ncf('1.1.2.3',plain,[unequally_directed_lines(line_connecting(_34650, _34650), line_connecting(392 ^ [], 393 ^ [])), unequally_directed_lines(line_connecting(_34650, _34650), reverse_line(line_connecting(392 ^ [], 393 ^ []))), -(left_convergent_lines(line_connecting(_34650, _34650), line_connecting(392 ^ [], 393 ^ []))), -(left_convergent_lines(line_connecting(_34650, _34650), reverse_line(line_connecting(392 ^ [], 393 ^ []))))],extension(208 ^ 5,bind([[_62291, _62293], [line_connecting(392 ^ [], 393 ^ []), line_connecting(_34650, _34650)]]))).
% 1.52/2.42  ncf('1.1.2.3.1',plain,[-(unequally_directed_lines(line_connecting(_34650, _34650), reverse_line(line_connecting(392 ^ [], 393 ^ []))))],extension(192 ^ 6)).
% 1.52/2.42  ncf('1.1.2.3.2',plain,[left_convergent_lines(line_connecting(_34650, _34650), line_connecting(392 ^ [], 393 ^ []))],extension(226 ^ 6,bind([[_62856, _62858], [line_connecting(392 ^ [], 393 ^ []), line_connecting(_34650, _34650)]]))).
% 1.52/2.42  ncf('1.1.2.3.3',plain,[left_convergent_lines(line_connecting(_34650, _34650), reverse_line(line_connecting(392 ^ [], 393 ^ [])))],extension(226 ^ 6,bind([[_62856, _62858], [reverse_line(line_connecting(392 ^ [], 393 ^ [])), line_connecting(_34650, _34650)]]))).
% 1.52/2.42  %-----------------------------------------------------
% 1.52/2.42  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------