%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO262+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n028.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 11:12:23 EDT 2023

% Result   : Theorem 0.34s 1.38s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO262+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri May 19 04:30:33 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.34/1.38  
% 0.34/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.38  %-----------------------------------------------------
% 0.34/1.38  ncf(matrix, plain, [(442 ^ _61692) ^ [] : [-(between_on_line(435 ^ [], 438 ^ [], 439 ^ [], 440 ^ []))], (444 ^ _61692) ^ [] : [-(convergent_lines(435 ^ [], 436 ^ []))], (446 ^ _61692) ^ [] : [-(incident_point_and_line(439 ^ [], 436 ^ []))], (448 ^ _61692) ^ [] : [-(convergent_lines(435 ^ [], 437 ^ []))], (450 ^ _61692) ^ [] : [-(convergent_lines(436 ^ [], 437 ^ []))], (452 ^ _61692) ^ [] : [-(incident_point_and_line(439 ^ [], 437 ^ []))], (454 ^ _61692) ^ [] : [between_on_line(436 ^ [], intersection_point(436 ^ [], parallel_through_point(437 ^ [], 438 ^ [])), 439 ^ [], intersection_point(436 ^ [], parallel_through_point(437 ^ [], 440 ^ [])))], (2 ^ _61692) ^ [_61834, _61836] : [unequally_directed_opposite_lines(_61836, _61834), -(unequally_directed_lines(_61836, reverse_line(_61834)))], (8 ^ _61692) ^ [_62000, _62002] : [unequally_directed_lines(_62002, reverse_line(_62000)), -(unequally_directed_opposite_lines(_62002, _62000))], (14 ^ _61692) ^ [_62245, _62247] : [right_apart_point(_62247, _62245), -(left_apart_point(_62247, reverse_line(_62245)))], (20 ^ _61692) ^ [_62411, _62413] : [left_apart_point(_62413, reverse_line(_62411)), -(right_apart_point(_62413, _62411))], (26 ^ _61692) ^ [_62656, _62658] : [right_convergent_lines(_62658, _62656), -(left_convergent_lines(_62658, reverse_line(_62656)))], (32 ^ _61692) ^ [_62822, _62824] : [left_convergent_lines(_62824, reverse_line(_62822)), -(right_convergent_lines(_62824, _62822))], (38 ^ _61692) ^ [_63067, _63069] : [equally_directed_lines(_63069, _63067), unequally_directed_lines(_63069, _63067)], (44 ^ _61692) ^ [_63230, _63232] : [-(unequally_directed_lines(_63232, _63230)), -(equally_directed_lines(_63232, _63230))], (50 ^ _61692) ^ [_63474, _63476] : [equally_directed_opposite_lines(_63476, _63474), unequally_directed_opposite_lines(_63476, _63474)], (56 ^ _61692) ^ [_63637, _63639] : [-(unequally_directed_opposite_lines(_63639, _63637)), -(equally_directed_opposite_lines(_63639, _63637))], (72 ^ _61692) ^ [_64133, _64135] : [73 ^ _61692 : [(74 ^ _61692) ^ [] : [left_apart_point(_64135, _64133)], (76 ^ _61692) ^ [] : [right_apart_point(_64135, _64133)]], -(apart_point_and_line(_64135, _64133))], (62 ^ _61692) ^ [_63881, _63883] : [apart_point_and_line(_63883, _63881), -(left_apart_point(_63883, _63881)), -(right_apart_point(_63883, _63881))], (80 ^ _61692) ^ [_64448, _64450] : [convergent_lines(_64450, _64448), 83 ^ _61692 : [(84 ^ _61692) ^ [] : [-(unequally_directed_lines(_64450, _64448))], (86 ^ _61692) ^ [] : [-(unequally_directed_opposite_lines(_64450, _64448))]]], (88 ^ _61692) ^ [_64685, _64687] : [-(convergent_lines(_64687, _64685)), unequally_directed_lines(_64687, _64685), unequally_directed_opposite_lines(_64687, _64685)], (98 ^ _61692) ^ [_65029, _65031, _65033] : [divides_points(_65029, _65033, _65031), 103 ^ _61692 : [(104 ^ _61692) ^ [] : [-(left_apart_point(_65033, _65029))], (106 ^ _61692) ^ [] : [-(right_apart_point(_65031, _65029))]], 107 ^ _61692 : [(108 ^ _61692) ^ [] : [-(right_apart_point(_65033, _65029))], (110 ^ _61692) ^ [] : [-(left_apart_point(_65031, _65029))]]], (112 ^ _61692) ^ [_65447, _65449, _65451] : [-(divides_points(_65447, _65451, _65449)), 113 ^ _61692 : [(114 ^ _61692) ^ [] : [left_apart_point(_65451, _65447), right_apart_point(_65449, _65447)], (120 ^ _61692) ^ [] : [right_apart_point(_65451, _65447), left_apart_point(_65449, _65447)]]], (128 ^ _61692) ^ [_65972, _65974, _65976] : [before_on_line(_65976, _65974, _65972), 131 ^ _61692 : [(132 ^ _61692) ^ [] : [-(distinct_points(_65974, _65972))], (134 ^ _61692) ^ [] : [-(incident_point_and_line(_65974, _65976))], (136 ^ _61692) ^ [] : [-(incident_point_and_line(_65972, _65976))], (138 ^ _61692) ^ [] : [-(equally_directed_lines(_65976, line_connecting(_65974, _65972)))]]], (140 ^ _61692) ^ [_66377, _66379, _66381] : [-(before_on_line(_66381, _66379, _66377)), distinct_points(_66379, _66377), incident_point_and_line(_66379, _66381), incident_point_and_line(_66377, _66381), equally_directed_lines(_66381, line_connecting(_66379, _66377))], (158 ^ _61692) ^ [_66939, _66941, _66943, _66945] : [between_on_line(_66945, _66943, _66941, _66939), 163 ^ _61692 : [(164 ^ _61692) ^ [] : [-(before_on_line(_66945, _66943, _66941))], (166 ^ _61692) ^ [] : [-(before_on_line(_66945, _66941, _66939))]], 167 ^ _61692 : [(168 ^ _61692) ^ [] : [-(before_on_line(_66945, _66939, _66941))], (170 ^ _61692) ^ [] : [-(before_on_line(_66945, _66941, _66943))]]], (172 ^ _61692) ^ [_67381, _67383, _67385, _67387] : [-(between_on_line(_67387, _67385, _67383, _67381)), 173 ^ _61692 : [(174 ^ _61692) ^ [] : [before_on_line(_67387, _67385, _67383), before_on_line(_67387, _67383, _67381)], (180 ^ _61692) ^ [] : [before_on_line(_67387, _67381, _67383), before_on_line(_67387, _67383, _67385)]]], (188 ^ _61692) ^ [_67859] : [distinct_points(_67859, _67859)], (190 ^ _61692) ^ [_67980, _67982, _67984] : [distinct_points(_67984, _67982), -(distinct_points(_67984, _67980)), -(distinct_points(_67982, _67980))], (200 ^ _61692) ^ [_68260] : [distinct_lines(_68260, _68260)], (202 ^ _61692) ^ [_68381, _68383, _68385] : [distinct_lines(_68385, _68383), -(distinct_lines(_68385, _68381)), -(distinct_lines(_68383, _68381))], (212 ^ _61692) ^ [_68662] : [-(equally_directed_lines(_68662, _68662))], (214 ^ _61692) ^ [_68783, _68785, _68787] : [unequally_directed_lines(_68787, _68785), -(unequally_directed_lines(_68787, _68783)), -(unequally_directed_lines(_68785, _68783))], (224 ^ _61692) ^ [_69107, _69109, _69111] : [unequally_directed_lines(_69111, _69109), unequally_directed_lines(_69111, reverse_line(_69109)), 233 ^ _61692 : [(234 ^ _61692) ^ [] : [-(unequally_directed_lines(_69111, _69107))], (236 ^ _61692) ^ [] : [-(unequally_directed_lines(_69111, reverse_line(_69107)))]], 237 ^ _61692 : [(238 ^ _61692) ^ [] : [-(unequally_directed_lines(_69109, _69107))], (240 ^ _61692) ^ [] : [-(unequally_directed_lines(_69109, reverse_line(_69107)))]]], (242 ^ _61692) ^ [_69678, _69680] : [-(unequally_directed_lines(_69680, _69678)), -(unequally_directed_lines(_69680, reverse_line(_69678)))], (248 ^ _61692) ^ [_69893, _69895] : [unequally_directed_lines(_69895, _69893), unequally_directed_lines(_69895, reverse_line(_69893)), -(left_convergent_lines(_69895, _69893)), -(left_convergent_lines(_69895, reverse_line(_69893)))], (262 ^ _61692) ^ [_70296, _70298] : [left_apart_point(_70298, _70296)], (264 ^ _61692) ^ [_70341, _70343] : [left_apart_point(_70343, reverse_line(_70341))], (266 ^ _61692) ^ [_70458, _70460] : [left_convergent_lines(_70460, _70458)], (268 ^ _61692) ^ [_70503, _70505] : [left_convergent_lines(_70505, reverse_line(_70503))], (270 ^ _61692) ^ [_70616, _70618] : [-(line(line_connecting(_70618, _70616))), point(_70618), point(_70616), distinct_points(_70618, _70616)], (284 ^ _61692) ^ [_71004, _71006] : [-(point(intersection_point(_71006, _71004))), line(_71006), line(_71004), unequally_directed_lines(_71006, _71004), unequally_directed_lines(_71006, reverse_line(_71004))], (302 ^ _61692) ^ [_71485, _71487] : [-(line(parallel_through_point(_71487, _71485))), point(_71485), line(_71487)], (312 ^ _61692) ^ [_71770] : [line(_71770), -(line(reverse_line(_71770)))], (318 ^ _61692) ^ [_71974, _71976] : [distinct_points(_71976, _71974), 321 ^ _61692 : [(322 ^ _61692) ^ [] : [apart_point_and_line(_71976, line_connecting(_71976, _71974))], (324 ^ _61692) ^ [] : [apart_point_and_line(_71974, line_connecting(_71976, _71974))]]], (326 ^ _61692) ^ [_72273, _72275] : [333 ^ _61692 : [(334 ^ _61692) ^ [] : [apart_point_and_line(intersection_point(_72275, _72273), _72275)], (336 ^ _61692) ^ [] : [apart_point_and_line(intersection_point(_72275, _72273), _72273)]], unequally_directed_lines(_72275, _72273), unequally_directed_lines(_72275, reverse_line(_72273))], (338 ^ _61692) ^ [_72649, _72651] : [apart_point_and_line(_72651, parallel_through_point(_72649, _72651))], (340 ^ _61692) ^ [_72731] : [distinct_lines(_72731, reverse_line(_72731))], (342 ^ _61692) ^ [_72840, _72842] : [distinct_points(_72842, _72840), -(equally_directed_lines(line_connecting(_72842, _72840), reverse_line(line_connecting(_72840, _72842))))], (348 ^ _61692) ^ [_73051, _73053] : [-(equally_directed_lines(parallel_through_point(_73051, _73053), _73051))], (350 ^ _61692) ^ [_73191, _73193, _73195, _73197] : [distinct_points(_73197, _73195), distinct_lines(_73193, _73191), -(left_apart_point(_73197, _73193)), -(left_apart_point(_73195, _73193)), -(left_apart_point(_73197, _73191)), -(left_apart_point(_73195, _73191)), -(left_apart_point(_73197, reverse_line(_73193))), -(left_apart_point(_73195, reverse_line(_73193))), -(left_apart_point(_73197, reverse_line(_73191))), -(left_apart_point(_73195, reverse_line(_73191)))], (388 ^ _61692) ^ [_74228, _74230, _74232] : [distinct_points(_74232, _74230), left_apart_point(_74232, _74228), -(left_apart_point(_74230, _74228)), -(left_convergent_lines(line_connecting(_74232, _74230), _74228))], (402 ^ _61692) ^ [_74653, _74655, _74657] : [left_apart_point(_74657, _74653), -(distinct_points(_74657, _74655)), -(left_apart_point(_74655, _74653))], (426 ^ _61692) ^ [_75380, _75382, _75384] : [left_convergent_lines(_75384, _75382), -(unequally_directed_lines(_75382, _75380)), -(left_convergent_lines(_75384, _75380))], (412 ^ _61692) ^ [_74977, _74979, _74981] : [left_apart_point(_74981, _74979), unequally_directed_lines(_74979, _74977), -(distinct_lines(_74979, _74977)), -(left_apart_point(_74981, reverse_line(_74977)))]], input).
% 0.34/1.38  ncf('1',plain,[equally_directed_lines(reverse_line(436 ^ []), reverse_line(436 ^ [])), unequally_directed_lines(reverse_line(436 ^ []), reverse_line(436 ^ []))],start(38 ^ 0,bind([[_63067, _63069], [reverse_line(436 ^ []), reverse_line(436 ^ [])]]))).
% 0.34/1.38  ncf('1.1',plain,[-(equally_directed_lines(reverse_line(436 ^ []), reverse_line(436 ^ []))), -(unequally_directed_lines(reverse_line(436 ^ []), reverse_line(436 ^ [])))],extension(44 ^ 1,bind([[_63230, _63232], [reverse_line(436 ^ []), reverse_line(436 ^ [])]]))).
% 0.34/1.38  ncf('1.1.1',plain,[unequally_directed_lines(reverse_line(436 ^ []), reverse_line(436 ^ [])), unequally_directed_lines(reverse_line(436 ^ []), reverse_line(reverse_line(436 ^ []))), -(left_convergent_lines(reverse_line(436 ^ []), reverse_line(436 ^ []))), -(left_convergent_lines(reverse_line(436 ^ []), reverse_line(reverse_line(436 ^ []))))],extension(248 ^ 2,bind([[_69893, _69895], [reverse_line(436 ^ []), reverse_line(436 ^ [])]]))).
% 0.34/1.38  ncf('1.1.1.1',plain,[-(unequally_directed_lines(reverse_line(436 ^ []), reverse_line(reverse_line(436 ^ [])))), unequally_directed_lines(reverse_line(436 ^ []), reverse_line(436 ^ [])), -(unequally_directed_lines(reverse_line(436 ^ []), reverse_line(reverse_line(436 ^ []))))],extension(214 ^ 3,bind([[_68783, _68785, _68787], [reverse_line(reverse_line(436 ^ [])), reverse_line(436 ^ []), reverse_line(436 ^ [])]]))).
% 0.34/1.38  ncf('1.1.1.1.1',plain,[-(unequally_directed_lines(reverse_line(436 ^ []), reverse_line(436 ^ [])))],reduction('1.1')).
% 0.34/1.38  ncf('1.1.1.1.2',plain,[unequally_directed_lines(reverse_line(436 ^ []), reverse_line(reverse_line(436 ^ [])))],reduction('1.1.1')).
% 0.34/1.38  ncf('1.1.1.2',plain,[left_convergent_lines(reverse_line(436 ^ []), reverse_line(436 ^ []))],extension(266 ^ 3,bind([[_70458, _70460], [reverse_line(436 ^ []), reverse_line(436 ^ [])]]))).
% 0.34/1.38  ncf('1.1.1.3',plain,[left_convergent_lines(reverse_line(436 ^ []), reverse_line(reverse_line(436 ^ [])))],extension(266 ^ 3,bind([[_70458, _70460], [reverse_line(reverse_line(436 ^ [])), reverse_line(436 ^ [])]]))).
% 0.34/1.38  ncf('1.2',plain,[-(unequally_directed_lines(reverse_line(436 ^ []), reverse_line(436 ^ []))), unequally_directed_lines(435 ^ [], reverse_line(436 ^ [])), -(unequally_directed_lines(435 ^ [], reverse_line(436 ^ [])))],extension(214 ^ 1,bind([[_68783, _68785, _68787], [reverse_line(436 ^ []), reverse_line(436 ^ []), 435 ^ []]]))).
% 0.34/1.38  ncf('1.2.1',plain,[-(unequally_directed_lines(435 ^ [], reverse_line(436 ^ []))), unequally_directed_opposite_lines(435 ^ [], 436 ^ [])],extension(2 ^ 2,bind([[_61834, _61836], [436 ^ [], 435 ^ []]]))).
% 0.34/1.38  ncf('1.2.1.1',plain,[-(unequally_directed_opposite_lines(435 ^ [], 436 ^ [])), convergent_lines(435 ^ [], 436 ^ [])],extension(80 ^ 3,bind([[_64448, _64450], [436 ^ [], 435 ^ []]]))).
% 0.34/1.38  ncf('1.2.1.1.1',plain,[-(convergent_lines(435 ^ [], 436 ^ []))],extension(444 ^ 4)).
% 0.34/1.38  ncf('1.2.2',plain,[unequally_directed_lines(435 ^ [], reverse_line(436 ^ [])), unequally_directed_lines(435 ^ [], 436 ^ []), -(left_convergent_lines(435 ^ [], 436 ^ [])), -(left_convergent_lines(435 ^ [], reverse_line(436 ^ [])))],extension(248 ^ 2,bind([[_69893, _69895], [436 ^ [], 435 ^ []]]))).
% 0.34/1.38  ncf('1.2.2.1',plain,[-(unequally_directed_lines(435 ^ [], 436 ^ [])), convergent_lines(435 ^ [], 436 ^ [])],extension(80 ^ 3,bind([[_64448, _64450], [436 ^ [], 435 ^ []]]))).
% 0.34/1.38  ncf('1.2.2.1.1',plain,[-(convergent_lines(435 ^ [], 436 ^ []))],extension(444 ^ 4)).
% 0.34/1.38  ncf('1.2.2.2',plain,[left_convergent_lines(435 ^ [], 436 ^ [])],extension(266 ^ 3,bind([[_70458, _70460], [436 ^ [], 435 ^ []]]))).
% 0.34/1.38  ncf('1.2.2.3',plain,[left_convergent_lines(435 ^ [], reverse_line(436 ^ []))],extension(266 ^ 3,bind([[_70458, _70460], [reverse_line(436 ^ []), 435 ^ []]]))).
% 0.34/1.38  %-----------------------------------------------------
% 0.34/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------