%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO251+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n016.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 11:12:21 EDT 2023

% Result   : Theorem 0.33s 1.39s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO251+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n016.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 04:58:12 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.33/1.39  
% 0.33/1.39  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.33/1.39  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.39  %-----------------------------------------------------
% 0.33/1.39  ncf(matrix, plain, [(439 ^ _55754) ^ [] : [-(right_apart_point(436 ^ [], parallel_through_point(437 ^ [], 435 ^ [])))], (441 ^ _55754) ^ [] : [left_apart_point(435 ^ [], parallel_through_point(437 ^ [], 436 ^ []))], (2 ^ _55754) ^ [_55896, _55898] : [unequally_directed_opposite_lines(_55898, _55896), -(unequally_directed_lines(_55898, reverse_line(_55896)))], (8 ^ _55754) ^ [_56062, _56064] : [unequally_directed_lines(_56064, reverse_line(_56062)), -(unequally_directed_opposite_lines(_56064, _56062))], (14 ^ _55754) ^ [_56307, _56309] : [right_apart_point(_56309, _56307), -(left_apart_point(_56309, reverse_line(_56307)))], (20 ^ _55754) ^ [_56473, _56475] : [left_apart_point(_56475, reverse_line(_56473)), -(right_apart_point(_56475, _56473))], (26 ^ _55754) ^ [_56718, _56720] : [right_convergent_lines(_56720, _56718), -(left_convergent_lines(_56720, reverse_line(_56718)))], (32 ^ _55754) ^ [_56884, _56886] : [left_convergent_lines(_56886, reverse_line(_56884)), -(right_convergent_lines(_56886, _56884))], (38 ^ _55754) ^ [_57129, _57131] : [equally_directed_lines(_57131, _57129), unequally_directed_lines(_57131, _57129)], (44 ^ _55754) ^ [_57292, _57294] : [-(unequally_directed_lines(_57294, _57292)), -(equally_directed_lines(_57294, _57292))], (50 ^ _55754) ^ [_57536, _57538] : [equally_directed_opposite_lines(_57538, _57536), unequally_directed_opposite_lines(_57538, _57536)], (56 ^ _55754) ^ [_57699, _57701] : [-(unequally_directed_opposite_lines(_57701, _57699)), -(equally_directed_opposite_lines(_57701, _57699))], (72 ^ _55754) ^ [_58195, _58197] : [73 ^ _55754 : [(74 ^ _55754) ^ [] : [left_apart_point(_58197, _58195)], (76 ^ _55754) ^ [] : [right_apart_point(_58197, _58195)]], -(apart_point_and_line(_58197, _58195))], (62 ^ _55754) ^ [_57943, _57945] : [apart_point_and_line(_57945, _57943), -(left_apart_point(_57945, _57943)), -(right_apart_point(_57945, _57943))], (80 ^ _55754) ^ [_58510, _58512] : [convergent_lines(_58512, _58510), 83 ^ _55754 : [(84 ^ _55754) ^ [] : [-(unequally_directed_lines(_58512, _58510))], (86 ^ _55754) ^ [] : [-(unequally_directed_opposite_lines(_58512, _58510))]]], (88 ^ _55754) ^ [_58747, _58749] : [-(convergent_lines(_58749, _58747)), unequally_directed_lines(_58749, _58747), unequally_directed_opposite_lines(_58749, _58747)], (98 ^ _55754) ^ [_59091, _59093, _59095] : [divides_points(_59091, _59095, _59093), 103 ^ _55754 : [(104 ^ _55754) ^ [] : [-(left_apart_point(_59095, _59091))], (106 ^ _55754) ^ [] : [-(right_apart_point(_59093, _59091))]], 107 ^ _55754 : [(108 ^ _55754) ^ [] : [-(right_apart_point(_59095, _59091))], (110 ^ _55754) ^ [] : [-(left_apart_point(_59093, _59091))]]], (112 ^ _55754) ^ [_59509, _59511, _59513] : [-(divides_points(_59509, _59513, _59511)), 113 ^ _55754 : [(114 ^ _55754) ^ [] : [left_apart_point(_59513, _59509), right_apart_point(_59511, _59509)], (120 ^ _55754) ^ [] : [right_apart_point(_59513, _59509), left_apart_point(_59511, _59509)]]], (128 ^ _55754) ^ [_60034, _60036, _60038] : [before_on_line(_60038, _60036, _60034), 131 ^ _55754 : [(132 ^ _55754) ^ [] : [-(distinct_points(_60036, _60034))], (134 ^ _55754) ^ [] : [-(incident_point_and_line(_60036, _60038))], (136 ^ _55754) ^ [] : [-(incident_point_and_line(_60034, _60038))], (138 ^ _55754) ^ [] : [-(equally_directed_lines(_60038, line_connecting(_60036, _60034)))]]], (140 ^ _55754) ^ [_60439, _60441, _60443] : [-(before_on_line(_60443, _60441, _60439)), distinct_points(_60441, _60439), incident_point_and_line(_60441, _60443), incident_point_and_line(_60439, _60443), equally_directed_lines(_60443, line_connecting(_60441, _60439))], (158 ^ _55754) ^ [_61001, _61003, _61005, _61007] : [between_on_line(_61007, _61005, _61003, _61001), 163 ^ _55754 : [(164 ^ _55754) ^ [] : [-(before_on_line(_61007, _61005, _61003))], (166 ^ _55754) ^ [] : [-(before_on_line(_61007, _61003, _61001))]], 167 ^ _55754 : [(168 ^ _55754) ^ [] : [-(before_on_line(_61007, _61001, _61003))], (170 ^ _55754) ^ [] : [-(before_on_line(_61007, _61003, _61005))]]], (172 ^ _55754) ^ [_61443, _61445, _61447, _61449] : [-(between_on_line(_61449, _61447, _61445, _61443)), 173 ^ _55754 : [(174 ^ _55754) ^ [] : [before_on_line(_61449, _61447, _61445), before_on_line(_61449, _61445, _61443)], (180 ^ _55754) ^ [] : [before_on_line(_61449, _61443, _61445), before_on_line(_61449, _61445, _61447)]]], (188 ^ _55754) ^ [_61921] : [distinct_points(_61921, _61921)], (190 ^ _55754) ^ [_62042, _62044, _62046] : [distinct_points(_62046, _62044), -(distinct_points(_62046, _62042)), -(distinct_points(_62044, _62042))], (200 ^ _55754) ^ [_62322] : [distinct_lines(_62322, _62322)], (202 ^ _55754) ^ [_62443, _62445, _62447] : [distinct_lines(_62447, _62445), -(distinct_lines(_62447, _62443)), -(distinct_lines(_62445, _62443))], (212 ^ _55754) ^ [_62724] : [-(equally_directed_lines(_62724, _62724))], (214 ^ _55754) ^ [_62845, _62847, _62849] : [unequally_directed_lines(_62849, _62847), -(unequally_directed_lines(_62849, _62845)), -(unequally_directed_lines(_62847, _62845))], (224 ^ _55754) ^ [_63169, _63171, _63173] : [unequally_directed_lines(_63173, _63171), unequally_directed_lines(_63173, reverse_line(_63171)), 233 ^ _55754 : [(234 ^ _55754) ^ [] : [-(unequally_directed_lines(_63173, _63169))], (236 ^ _55754) ^ [] : [-(unequally_directed_lines(_63173, reverse_line(_63169)))]], 237 ^ _55754 : [(238 ^ _55754) ^ [] : [-(unequally_directed_lines(_63171, _63169))], (240 ^ _55754) ^ [] : [-(unequally_directed_lines(_63171, reverse_line(_63169)))]]], (242 ^ _55754) ^ [_63740, _63742] : [-(unequally_directed_lines(_63742, _63740)), -(unequally_directed_lines(_63742, reverse_line(_63740)))], (248 ^ _55754) ^ [_63955, _63957] : [unequally_directed_lines(_63957, _63955), unequally_directed_lines(_63957, reverse_line(_63955)), -(left_convergent_lines(_63957, _63955)), -(left_convergent_lines(_63957, reverse_line(_63955)))], (262 ^ _55754) ^ [_64358, _64360] : [left_apart_point(_64360, _64358)], (264 ^ _55754) ^ [_64403, _64405] : [left_apart_point(_64405, reverse_line(_64403))], (266 ^ _55754) ^ [_64520, _64522] : [left_convergent_lines(_64522, _64520)], (268 ^ _55754) ^ [_64565, _64567] : [left_convergent_lines(_64567, reverse_line(_64565))], (270 ^ _55754) ^ [_64678, _64680] : [-(line(line_connecting(_64680, _64678))), point(_64680), point(_64678), distinct_points(_64680, _64678)], (284 ^ _55754) ^ [_65066, _65068] : [-(point(intersection_point(_65068, _65066))), line(_65068), line(_65066), unequally_directed_lines(_65068, _65066), unequally_directed_lines(_65068, reverse_line(_65066))], (302 ^ _55754) ^ [_65547, _65549] : [-(line(parallel_through_point(_65549, _65547))), point(_65547), line(_65549)], (312 ^ _55754) ^ [_65832] : [line(_65832), -(line(reverse_line(_65832)))], (318 ^ _55754) ^ [_66036, _66038] : [distinct_points(_66038, _66036), 321 ^ _55754 : [(322 ^ _55754) ^ [] : [apart_point_and_line(_66038, line_connecting(_66038, _66036))], (324 ^ _55754) ^ [] : [apart_point_and_line(_66036, line_connecting(_66038, _66036))]]], (326 ^ _55754) ^ [_66335, _66337] : [333 ^ _55754 : [(334 ^ _55754) ^ [] : [apart_point_and_line(intersection_point(_66337, _66335), _66337)], (336 ^ _55754) ^ [] : [apart_point_and_line(intersection_point(_66337, _66335), _66335)]], unequally_directed_lines(_66337, _66335), unequally_directed_lines(_66337, reverse_line(_66335))], (338 ^ _55754) ^ [_66711, _66713] : [apart_point_and_line(_66713, parallel_through_point(_66711, _66713))], (340 ^ _55754) ^ [_66793] : [distinct_lines(_66793, reverse_line(_66793))], (342 ^ _55754) ^ [_66902, _66904] : [distinct_points(_66904, _66902), -(equally_directed_lines(line_connecting(_66904, _66902), reverse_line(line_connecting(_66902, _66904))))], (348 ^ _55754) ^ [_67113, _67115] : [-(equally_directed_lines(parallel_through_point(_67113, _67115), _67113))], (350 ^ _55754) ^ [_67253, _67255, _67257, _67259] : [distinct_points(_67259, _67257), distinct_lines(_67255, _67253), -(left_apart_point(_67259, _67255)), -(left_apart_point(_67257, _67255)), -(left_apart_point(_67259, _67253)), -(left_apart_point(_67257, _67253)), -(left_apart_point(_67259, reverse_line(_67255))), -(left_apart_point(_67257, reverse_line(_67255))), -(left_apart_point(_67259, reverse_line(_67253))), -(left_apart_point(_67257, reverse_line(_67253)))], (388 ^ _55754) ^ [_68290, _68292, _68294] : [distinct_points(_68294, _68292), left_apart_point(_68294, _68290), -(left_apart_point(_68292, _68290)), -(left_convergent_lines(line_connecting(_68294, _68292), _68290))], (402 ^ _55754) ^ [_68715, _68717, _68719] : [left_apart_point(_68719, _68715), -(distinct_points(_68719, _68717)), -(left_apart_point(_68717, _68715))], (426 ^ _55754) ^ [_69442, _69444, _69446] : [left_convergent_lines(_69446, _69444), -(unequally_directed_lines(_69444, _69442)), -(left_convergent_lines(_69446, _69442))], (412 ^ _55754) ^ [_69039, _69041, _69043] : [left_apart_point(_69043, _69041), unequally_directed_lines(_69041, _69039), -(distinct_lines(_69041, _69039)), -(left_apart_point(_69043, reverse_line(_69039)))]], input).
% 0.33/1.39  ncf('1',plain,[left_apart_point(436 ^ [], reverse_line(parallel_through_point(437 ^ [], 435 ^ [])))],start(262 ^ 0,bind([[_64358, _64360], [reverse_line(parallel_through_point(437 ^ [], 435 ^ [])), 436 ^ []]]))).
% 0.33/1.39  ncf('1.1',plain,[-(left_apart_point(436 ^ [], reverse_line(parallel_through_point(437 ^ [], 435 ^ [])))), right_apart_point(436 ^ [], parallel_through_point(437 ^ [], 435 ^ []))],extension(14 ^ 1,bind([[_56307, _56309], [parallel_through_point(437 ^ [], 435 ^ []), 436 ^ []]]))).
% 0.33/1.39  ncf('1.1.1',plain,[-(right_apart_point(436 ^ [], parallel_through_point(437 ^ [], 435 ^ [])))],extension(439 ^ 2)).
% 0.33/1.39  %-----------------------------------------------------
% 0.33/1.39  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------