%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO258+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n019.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 0.43s 1.38s
% Output   : Proof 0.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO258+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n019.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Fri May 19 04:32:57 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.43/1.38  
% 0.43/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.43/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/1.38  %-----------------------------------------------------
% 0.43/1.38  ncf(matrix, plain, [(440 ^ _61176) ^ [] : [-(between_on_line(435 ^ [], 436 ^ [], 437 ^ [], 438 ^ []))], (442 ^ _61176) ^ [] : [between_on_line(435 ^ [], 438 ^ [], 437 ^ [], 436 ^ [])], (2 ^ _61176) ^ [_61318, _61320] : [unequally_directed_opposite_lines(_61320, _61318), -(unequally_directed_lines(_61320, reverse_line(_61318)))], (8 ^ _61176) ^ [_61484, _61486] : [unequally_directed_lines(_61486, reverse_line(_61484)), -(unequally_directed_opposite_lines(_61486, _61484))], (14 ^ _61176) ^ [_61729, _61731] : [right_apart_point(_61731, _61729), -(left_apart_point(_61731, reverse_line(_61729)))], (20 ^ _61176) ^ [_61895, _61897] : [left_apart_point(_61897, reverse_line(_61895)), -(right_apart_point(_61897, _61895))], (26 ^ _61176) ^ [_62140, _62142] : [right_convergent_lines(_62142, _62140), -(left_convergent_lines(_62142, reverse_line(_62140)))], (32 ^ _61176) ^ [_62306, _62308] : [left_convergent_lines(_62308, reverse_line(_62306)), -(right_convergent_lines(_62308, _62306))], (38 ^ _61176) ^ [_62551, _62553] : [equally_directed_lines(_62553, _62551), unequally_directed_lines(_62553, _62551)], (44 ^ _61176) ^ [_62714, _62716] : [-(unequally_directed_lines(_62716, _62714)), -(equally_directed_lines(_62716, _62714))], (50 ^ _61176) ^ [_62958, _62960] : [equally_directed_opposite_lines(_62960, _62958), unequally_directed_opposite_lines(_62960, _62958)], (56 ^ _61176) ^ [_63121, _63123] : [-(unequally_directed_opposite_lines(_63123, _63121)), -(equally_directed_opposite_lines(_63123, _63121))], (72 ^ _61176) ^ [_63617, _63619] : [73 ^ _61176 : [(74 ^ _61176) ^ [] : [left_apart_point(_63619, _63617)], (76 ^ _61176) ^ [] : [right_apart_point(_63619, _63617)]], -(apart_point_and_line(_63619, _63617))], (62 ^ _61176) ^ [_63365, _63367] : [apart_point_and_line(_63367, _63365), -(left_apart_point(_63367, _63365)), -(right_apart_point(_63367, _63365))], (80 ^ _61176) ^ [_63932, _63934] : [convergent_lines(_63934, _63932), 83 ^ _61176 : [(84 ^ _61176) ^ [] : [-(unequally_directed_lines(_63934, _63932))], (86 ^ _61176) ^ [] : [-(unequally_directed_opposite_lines(_63934, _63932))]]], (88 ^ _61176) ^ [_64169, _64171] : [-(convergent_lines(_64171, _64169)), unequally_directed_lines(_64171, _64169), unequally_directed_opposite_lines(_64171, _64169)], (98 ^ _61176) ^ [_64513, _64515, _64517] : [divides_points(_64513, _64517, _64515), 103 ^ _61176 : [(104 ^ _61176) ^ [] : [-(left_apart_point(_64517, _64513))], (106 ^ _61176) ^ [] : [-(right_apart_point(_64515, _64513))]], 107 ^ _61176 : [(108 ^ _61176) ^ [] : [-(right_apart_point(_64517, _64513))], (110 ^ _61176) ^ [] : [-(left_apart_point(_64515, _64513))]]], (112 ^ _61176) ^ [_64931, _64933, _64935] : [-(divides_points(_64931, _64935, _64933)), 113 ^ _61176 : [(114 ^ _61176) ^ [] : [left_apart_point(_64935, _64931), right_apart_point(_64933, _64931)], (120 ^ _61176) ^ [] : [right_apart_point(_64935, _64931), left_apart_point(_64933, _64931)]]], (128 ^ _61176) ^ [_65456, _65458, _65460] : [before_on_line(_65460, _65458, _65456), 131 ^ _61176 : [(132 ^ _61176) ^ [] : [-(distinct_points(_65458, _65456))], (134 ^ _61176) ^ [] : [-(incident_point_and_line(_65458, _65460))], (136 ^ _61176) ^ [] : [-(incident_point_and_line(_65456, _65460))], (138 ^ _61176) ^ [] : [-(equally_directed_lines(_65460, line_connecting(_65458, _65456)))]]], (140 ^ _61176) ^ [_65861, _65863, _65865] : [-(before_on_line(_65865, _65863, _65861)), distinct_points(_65863, _65861), incident_point_and_line(_65863, _65865), incident_point_and_line(_65861, _65865), equally_directed_lines(_65865, line_connecting(_65863, _65861))], (158 ^ _61176) ^ [_66423, _66425, _66427, _66429] : [between_on_line(_66429, _66427, _66425, _66423), 163 ^ _61176 : [(164 ^ _61176) ^ [] : [-(before_on_line(_66429, _66427, _66425))], (166 ^ _61176) ^ [] : [-(before_on_line(_66429, _66425, _66423))]], 167 ^ _61176 : [(168 ^ _61176) ^ [] : [-(before_on_line(_66429, _66423, _66425))], (170 ^ _61176) ^ [] : [-(before_on_line(_66429, _66425, _66427))]]], (172 ^ _61176) ^ [_66865, _66867, _66869, _66871] : [-(between_on_line(_66871, _66869, _66867, _66865)), 173 ^ _61176 : [(174 ^ _61176) ^ [] : [before_on_line(_66871, _66869, _66867), before_on_line(_66871, _66867, _66865)], (180 ^ _61176) ^ [] : [before_on_line(_66871, _66865, _66867), before_on_line(_66871, _66867, _66869)]]], (188 ^ _61176) ^ [_67343] : [distinct_points(_67343, _67343)], (190 ^ _61176) ^ [_67464, _67466, _67468] : [distinct_points(_67468, _67466), -(distinct_points(_67468, _67464)), -(distinct_points(_67466, _67464))], (200 ^ _61176) ^ [_67744] : [distinct_lines(_67744, _67744)], (202 ^ _61176) ^ [_67865, _67867, _67869] : [distinct_lines(_67869, _67867), -(distinct_lines(_67869, _67865)), -(distinct_lines(_67867, _67865))], (212 ^ _61176) ^ [_68146] : [-(equally_directed_lines(_68146, _68146))], (214 ^ _61176) ^ [_68267, _68269, _68271] : [unequally_directed_lines(_68271, _68269), -(unequally_directed_lines(_68271, _68267)), -(unequally_directed_lines(_68269, _68267))], (224 ^ _61176) ^ [_68591, _68593, _68595] : [unequally_directed_lines(_68595, _68593), unequally_directed_lines(_68595, reverse_line(_68593)), 233 ^ _61176 : [(234 ^ _61176) ^ [] : [-(unequally_directed_lines(_68595, _68591))], (236 ^ _61176) ^ [] : [-(unequally_directed_lines(_68595, reverse_line(_68591)))]], 237 ^ _61176 : [(238 ^ _61176) ^ [] : [-(unequally_directed_lines(_68593, _68591))], (240 ^ _61176) ^ [] : [-(unequally_directed_lines(_68593, reverse_line(_68591)))]]], (242 ^ _61176) ^ [_69162, _69164] : [-(unequally_directed_lines(_69164, _69162)), -(unequally_directed_lines(_69164, reverse_line(_69162)))], (248 ^ _61176) ^ [_69377, _69379] : [unequally_directed_lines(_69379, _69377), unequally_directed_lines(_69379, reverse_line(_69377)), -(left_convergent_lines(_69379, _69377)), -(left_convergent_lines(_69379, reverse_line(_69377)))], (262 ^ _61176) ^ [_69780, _69782] : [left_apart_point(_69782, _69780)], (264 ^ _61176) ^ [_69825, _69827] : [left_apart_point(_69827, reverse_line(_69825))], (266 ^ _61176) ^ [_69942, _69944] : [left_convergent_lines(_69944, _69942)], (268 ^ _61176) ^ [_69987, _69989] : [left_convergent_lines(_69989, reverse_line(_69987))], (270 ^ _61176) ^ [_70100, _70102] : [-(line(line_connecting(_70102, _70100))), point(_70102), point(_70100), distinct_points(_70102, _70100)], (284 ^ _61176) ^ [_70488, _70490] : [-(point(intersection_point(_70490, _70488))), line(_70490), line(_70488), unequally_directed_lines(_70490, _70488), unequally_directed_lines(_70490, reverse_line(_70488))], (302 ^ _61176) ^ [_70969, _70971] : [-(line(parallel_through_point(_70971, _70969))), point(_70969), line(_70971)], (312 ^ _61176) ^ [_71254] : [line(_71254), -(line(reverse_line(_71254)))], (318 ^ _61176) ^ [_71458, _71460] : [distinct_points(_71460, _71458), 321 ^ _61176 : [(322 ^ _61176) ^ [] : [apart_point_and_line(_71460, line_connecting(_71460, _71458))], (324 ^ _61176) ^ [] : [apart_point_and_line(_71458, line_connecting(_71460, _71458))]]], (326 ^ _61176) ^ [_71757, _71759] : [333 ^ _61176 : [(334 ^ _61176) ^ [] : [apart_point_and_line(intersection_point(_71759, _71757), _71759)], (336 ^ _61176) ^ [] : [apart_point_and_line(intersection_point(_71759, _71757), _71757)]], unequally_directed_lines(_71759, _71757), unequally_directed_lines(_71759, reverse_line(_71757))], (338 ^ _61176) ^ [_72133, _72135] : [apart_point_and_line(_72135, parallel_through_point(_72133, _72135))], (340 ^ _61176) ^ [_72215] : [distinct_lines(_72215, reverse_line(_72215))], (342 ^ _61176) ^ [_72324, _72326] : [distinct_points(_72326, _72324), -(equally_directed_lines(line_connecting(_72326, _72324), reverse_line(line_connecting(_72324, _72326))))], (348 ^ _61176) ^ [_72535, _72537] : [-(equally_directed_lines(parallel_through_point(_72535, _72537), _72535))], (350 ^ _61176) ^ [_72675, _72677, _72679, _72681] : [distinct_points(_72681, _72679), distinct_lines(_72677, _72675), -(left_apart_point(_72681, _72677)), -(left_apart_point(_72679, _72677)), -(left_apart_point(_72681, _72675)), -(left_apart_point(_72679, _72675)), -(left_apart_point(_72681, reverse_line(_72677))), -(left_apart_point(_72679, reverse_line(_72677))), -(left_apart_point(_72681, reverse_line(_72675))), -(left_apart_point(_72679, reverse_line(_72675)))], (388 ^ _61176) ^ [_73712, _73714, _73716] : [distinct_points(_73716, _73714), left_apart_point(_73716, _73712), -(left_apart_point(_73714, _73712)), -(left_convergent_lines(line_connecting(_73716, _73714), _73712))], (402 ^ _61176) ^ [_74137, _74139, _74141] : [left_apart_point(_74141, _74137), -(distinct_points(_74141, _74139)), -(left_apart_point(_74139, _74137))], (426 ^ _61176) ^ [_74864, _74866, _74868] : [left_convergent_lines(_74868, _74866), -(unequally_directed_lines(_74866, _74864)), -(left_convergent_lines(_74868, _74864))], (412 ^ _61176) ^ [_74461, _74463, _74465] : [left_apart_point(_74465, _74463), unequally_directed_lines(_74463, _74461), -(distinct_lines(_74463, _74461)), -(left_apart_point(_74465, reverse_line(_74461)))]], input).
% 0.43/1.38  ncf('1',plain,[between_on_line(435 ^ [], 438 ^ [], 437 ^ [], 436 ^ [])],start(442 ^ 0)).
% 0.43/1.38  ncf('1.1',plain,[-(between_on_line(435 ^ [], 438 ^ [], 437 ^ [], 436 ^ [])), 174 : before_on_line(435 ^ [], 438 ^ [], 437 ^ []), 174 : before_on_line(435 ^ [], 437 ^ [], 436 ^ [])],extension(172 ^ 1,bind([[_66865, _66867, _66869, _66871], [436 ^ [], 437 ^ [], 438 ^ [], 435 ^ []]]))).
% 0.43/1.38  ncf('1.1.1',plain,[-(before_on_line(435 ^ [], 438 ^ [], 437 ^ [])), between_on_line(435 ^ [], 438 ^ [], 437 ^ [], 436 ^ []), 168 : -(before_on_line(435 ^ [], 436 ^ [], 437 ^ []))],extension(158 ^ 4,bind([[_66423, _66425, _66427, _66429], [436 ^ [], 437 ^ [], 438 ^ [], 435 ^ []]]))).
% 0.43/1.38  ncf('1.1.1.1',plain,[-(between_on_line(435 ^ [], 438 ^ [], 437 ^ [], 436 ^ [])), 180 : before_on_line(435 ^ [], 436 ^ [], 437 ^ []), 180 : before_on_line(435 ^ [], 437 ^ [], 438 ^ [])],extension(172 ^ 5,bind([[_66865, _66867, _66869, _66871], [436 ^ [], 437 ^ [], 438 ^ [], 435 ^ []]]))).
% 0.43/1.38  ncf('1.1.1.1.1',plain,[-(before_on_line(435 ^ [], 436 ^ [], 437 ^ [])), between_on_line(435 ^ [], 436 ^ [], 437 ^ [], 438 ^ []), 168 : -(before_on_line(435 ^ [], 438 ^ [], 437 ^ []))],extension(158 ^ 8,bind([[_66423, _66425, _66427, _66429], [438 ^ [], 437 ^ [], 436 ^ [], 435 ^ []]]))).
% 0.43/1.38  ncf('1.1.1.1.1.1',plain,[-(between_on_line(435 ^ [], 436 ^ [], 437 ^ [], 438 ^ []))],extension(440 ^ 9)).
% 0.43/1.38  ncf('1.1.1.1.1.2',plain,[before_on_line(435 ^ [], 438 ^ [], 437 ^ [])],reduction('1.1')).
% 0.43/1.38  ncf('1.1.1.1.2',plain,[-(before_on_line(435 ^ [], 437 ^ [], 438 ^ [])), between_on_line(435 ^ [], 436 ^ [], 437 ^ [], 438 ^ []), 168 : -(before_on_line(435 ^ [], 438 ^ [], 437 ^ []))],extension(158 ^ 8,bind([[_66423, _66425, _66427, _66429], [438 ^ [], 437 ^ [], 436 ^ [], 435 ^ []]]))).
% 0.43/1.38  ncf('1.1.1.1.2.1',plain,[-(between_on_line(435 ^ [], 436 ^ [], 437 ^ [], 438 ^ []))],extension(440 ^ 9)).
% 0.43/1.38  ncf('1.1.1.1.2.2',plain,[before_on_line(435 ^ [], 438 ^ [], 437 ^ [])],reduction('1.1')).
% 0.43/1.38  ncf('1.1.1.2',plain,[before_on_line(435 ^ [], 436 ^ [], 437 ^ []), before_on_line(435 ^ [], 437 ^ [], 438 ^ [])],extension(180 ^ 7)).
% 0.43/1.38  ncf('1.1.1.2.1',plain,[-(before_on_line(435 ^ [], 437 ^ [], 438 ^ [])), between_on_line(435 ^ [], 436 ^ [], 437 ^ [], 438 ^ []), 168 : -(before_on_line(435 ^ [], 438 ^ [], 437 ^ []))],extension(158 ^ 8,bind([[_66423, _66425, _66427, _66429], [438 ^ [], 437 ^ [], 436 ^ [], 435 ^ []]]))).
% 0.43/1.38  ncf('1.1.1.2.1.1',plain,[-(between_on_line(435 ^ [], 436 ^ [], 437 ^ [], 438 ^ []))],extension(440 ^ 9)).
% 0.43/1.38  ncf('1.1.1.2.1.2',plain,[before_on_line(435 ^ [], 438 ^ [], 437 ^ [])],reduction('1.1')).
% 0.43/1.38  ncf('1.1.2',plain,[-(before_on_line(435 ^ [], 437 ^ [], 436 ^ [])), between_on_line(435 ^ [], 438 ^ [], 437 ^ [], 436 ^ []), 168 : -(before_on_line(435 ^ [], 436 ^ [], 437 ^ []))],extension(158 ^ 4,bind([[_66423, _66425, _66427, _66429], [436 ^ [], 437 ^ [], 438 ^ [], 435 ^ []]]))).
% 0.43/1.38  ncf('1.1.2.1',plain,[-(between_on_line(435 ^ [], 438 ^ [], 437 ^ [], 436 ^ [])), 180 : before_on_line(435 ^ [], 436 ^ [], 437 ^ []), 180 : before_on_line(435 ^ [], 437 ^ [], 438 ^ [])],extension(172 ^ 5,bind([[_66865, _66867, _66869, _66871], [436 ^ [], 437 ^ [], 438 ^ [], 435 ^ []]]))).
% 0.43/1.38  ncf('1.1.2.1.1',plain,[-(before_on_line(435 ^ [], 436 ^ [], 437 ^ [])), between_on_line(435 ^ [], 436 ^ [], 437 ^ [], 438 ^ []), 170 : -(before_on_line(435 ^ [], 437 ^ [], 436 ^ []))],extension(158 ^ 8,bind([[_66423, _66425, _66427, _66429], [438 ^ [], 437 ^ [], 436 ^ [], 435 ^ []]]))).
% 0.43/1.38  ncf('1.1.2.1.1.1',plain,[-(between_on_line(435 ^ [], 436 ^ [], 437 ^ [], 438 ^ []))],extension(440 ^ 9)).
% 0.43/1.38  ncf('1.1.2.1.1.2',plain,[before_on_line(435 ^ [], 437 ^ [], 436 ^ [])],reduction('1.1')).
% 0.43/1.38  ncf('1.1.2.1.2',plain,[-(before_on_line(435 ^ [], 437 ^ [], 438 ^ [])), between_on_line(435 ^ [], 436 ^ [], 437 ^ [], 438 ^ []), 170 : -(before_on_line(435 ^ [], 437 ^ [], 436 ^ []))],extension(158 ^ 8,bind([[_66423, _66425, _66427, _66429], [438 ^ [], 437 ^ [], 436 ^ [], 435 ^ []]]))).
% 0.43/1.38  ncf('1.1.2.1.2.1',plain,[-(between_on_line(435 ^ [], 436 ^ [], 437 ^ [], 438 ^ []))],extension(440 ^ 9)).
% 0.43/1.38  ncf('1.1.2.1.2.2',plain,[before_on_line(435 ^ [], 437 ^ [], 436 ^ [])],reduction('1.1')).
% 0.43/1.38  ncf('1.1.2.2',plain,[before_on_line(435 ^ [], 436 ^ [], 437 ^ []), before_on_line(435 ^ [], 437 ^ [], 438 ^ [])],extension(180 ^ 7)).
% 0.43/1.38  ncf('1.1.2.2.1',plain,[-(before_on_line(435 ^ [], 437 ^ [], 438 ^ [])), between_on_line(435 ^ [], 436 ^ [], 437 ^ [], 438 ^ []), 170 : -(before_on_line(435 ^ [], 437 ^ [], 436 ^ []))],extension(158 ^ 8,bind([[_66423, _66425, _66427, _66429], [438 ^ [], 437 ^ [], 436 ^ [], 435 ^ []]]))).
% 0.43/1.38  ncf('1.1.2.2.1.1',plain,[-(between_on_line(435 ^ [], 436 ^ [], 437 ^ [], 438 ^ []))],extension(440 ^ 9)).
% 0.43/1.38  ncf('1.1.2.2.1.2',plain,[before_on_line(435 ^ [], 437 ^ [], 436 ^ [])],reduction('1.1')).
% 0.43/1.38  %-----------------------------------------------------
% 0.43/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------