%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO240+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n022.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 11:12:20 EDT 2023

% Result   : Theorem 0.36s 1.40s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO240+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command  : nanocop.sh %s %d
% 0.15/0.35  % Computer : n022.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Fri May 19 04:35:32 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.36/1.40  
% 0.36/1.40  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.36/1.40  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.40  %-----------------------------------------------------
% 0.36/1.40  ncf(matrix, plain, [(439 ^ _55931) ^ [] : [-(incident_point_and_line(435 ^ [], 437 ^ []))], (441 ^ _55931) ^ [] : [-(right_apart_point(436 ^ [], 437 ^ []))], (443 ^ _55931) ^ [] : [right_convergent_lines(437 ^ [], line_connecting(435 ^ [], 436 ^ []))], (2 ^ _55931) ^ [_56073, _56075] : [unequally_directed_opposite_lines(_56075, _56073), -(unequally_directed_lines(_56075, reverse_line(_56073)))], (8 ^ _55931) ^ [_56239, _56241] : [unequally_directed_lines(_56241, reverse_line(_56239)), -(unequally_directed_opposite_lines(_56241, _56239))], (14 ^ _55931) ^ [_56484, _56486] : [right_apart_point(_56486, _56484), -(left_apart_point(_56486, reverse_line(_56484)))], (20 ^ _55931) ^ [_56650, _56652] : [left_apart_point(_56652, reverse_line(_56650)), -(right_apart_point(_56652, _56650))], (26 ^ _55931) ^ [_56895, _56897] : [right_convergent_lines(_56897, _56895), -(left_convergent_lines(_56897, reverse_line(_56895)))], (32 ^ _55931) ^ [_57061, _57063] : [left_convergent_lines(_57063, reverse_line(_57061)), -(right_convergent_lines(_57063, _57061))], (38 ^ _55931) ^ [_57306, _57308] : [equally_directed_lines(_57308, _57306), unequally_directed_lines(_57308, _57306)], (44 ^ _55931) ^ [_57469, _57471] : [-(unequally_directed_lines(_57471, _57469)), -(equally_directed_lines(_57471, _57469))], (50 ^ _55931) ^ [_57713, _57715] : [equally_directed_opposite_lines(_57715, _57713), unequally_directed_opposite_lines(_57715, _57713)], (56 ^ _55931) ^ [_57876, _57878] : [-(unequally_directed_opposite_lines(_57878, _57876)), -(equally_directed_opposite_lines(_57878, _57876))], (72 ^ _55931) ^ [_58372, _58374] : [73 ^ _55931 : [(74 ^ _55931) ^ [] : [left_apart_point(_58374, _58372)], (76 ^ _55931) ^ [] : [right_apart_point(_58374, _58372)]], -(apart_point_and_line(_58374, _58372))], (62 ^ _55931) ^ [_58120, _58122] : [apart_point_and_line(_58122, _58120), -(left_apart_point(_58122, _58120)), -(right_apart_point(_58122, _58120))], (80 ^ _55931) ^ [_58687, _58689] : [convergent_lines(_58689, _58687), 83 ^ _55931 : [(84 ^ _55931) ^ [] : [-(unequally_directed_lines(_58689, _58687))], (86 ^ _55931) ^ [] : [-(unequally_directed_opposite_lines(_58689, _58687))]]], (88 ^ _55931) ^ [_58924, _58926] : [-(convergent_lines(_58926, _58924)), unequally_directed_lines(_58926, _58924), unequally_directed_opposite_lines(_58926, _58924)], (98 ^ _55931) ^ [_59268, _59270, _59272] : [divides_points(_59268, _59272, _59270), 103 ^ _55931 : [(104 ^ _55931) ^ [] : [-(left_apart_point(_59272, _59268))], (106 ^ _55931) ^ [] : [-(right_apart_point(_59270, _59268))]], 107 ^ _55931 : [(108 ^ _55931) ^ [] : [-(right_apart_point(_59272, _59268))], (110 ^ _55931) ^ [] : [-(left_apart_point(_59270, _59268))]]], (112 ^ _55931) ^ [_59686, _59688, _59690] : [-(divides_points(_59686, _59690, _59688)), 113 ^ _55931 : [(114 ^ _55931) ^ [] : [left_apart_point(_59690, _59686), right_apart_point(_59688, _59686)], (120 ^ _55931) ^ [] : [right_apart_point(_59690, _59686), left_apart_point(_59688, _59686)]]], (128 ^ _55931) ^ [_60211, _60213, _60215] : [before_on_line(_60215, _60213, _60211), 131 ^ _55931 : [(132 ^ _55931) ^ [] : [-(distinct_points(_60213, _60211))], (134 ^ _55931) ^ [] : [-(incident_point_and_line(_60213, _60215))], (136 ^ _55931) ^ [] : [-(incident_point_and_line(_60211, _60215))], (138 ^ _55931) ^ [] : [-(equally_directed_lines(_60215, line_connecting(_60213, _60211)))]]], (140 ^ _55931) ^ [_60616, _60618, _60620] : [-(before_on_line(_60620, _60618, _60616)), distinct_points(_60618, _60616), incident_point_and_line(_60618, _60620), incident_point_and_line(_60616, _60620), equally_directed_lines(_60620, line_connecting(_60618, _60616))], (158 ^ _55931) ^ [_61178, _61180, _61182, _61184] : [between_on_line(_61184, _61182, _61180, _61178), 163 ^ _55931 : [(164 ^ _55931) ^ [] : [-(before_on_line(_61184, _61182, _61180))], (166 ^ _55931) ^ [] : [-(before_on_line(_61184, _61180, _61178))]], 167 ^ _55931 : [(168 ^ _55931) ^ [] : [-(before_on_line(_61184, _61178, _61180))], (170 ^ _55931) ^ [] : [-(before_on_line(_61184, _61180, _61182))]]], (172 ^ _55931) ^ [_61620, _61622, _61624, _61626] : [-(between_on_line(_61626, _61624, _61622, _61620)), 173 ^ _55931 : [(174 ^ _55931) ^ [] : [before_on_line(_61626, _61624, _61622), before_on_line(_61626, _61622, _61620)], (180 ^ _55931) ^ [] : [before_on_line(_61626, _61620, _61622), before_on_line(_61626, _61622, _61624)]]], (188 ^ _55931) ^ [_62098] : [distinct_points(_62098, _62098)], (190 ^ _55931) ^ [_62219, _62221, _62223] : [distinct_points(_62223, _62221), -(distinct_points(_62223, _62219)), -(distinct_points(_62221, _62219))], (200 ^ _55931) ^ [_62499] : [distinct_lines(_62499, _62499)], (202 ^ _55931) ^ [_62620, _62622, _62624] : [distinct_lines(_62624, _62622), -(distinct_lines(_62624, _62620)), -(distinct_lines(_62622, _62620))], (212 ^ _55931) ^ [_62901] : [-(equally_directed_lines(_62901, _62901))], (214 ^ _55931) ^ [_63022, _63024, _63026] : [unequally_directed_lines(_63026, _63024), -(unequally_directed_lines(_63026, _63022)), -(unequally_directed_lines(_63024, _63022))], (224 ^ _55931) ^ [_63346, _63348, _63350] : [unequally_directed_lines(_63350, _63348), unequally_directed_lines(_63350, reverse_line(_63348)), 233 ^ _55931 : [(234 ^ _55931) ^ [] : [-(unequally_directed_lines(_63350, _63346))], (236 ^ _55931) ^ [] : [-(unequally_directed_lines(_63350, reverse_line(_63346)))]], 237 ^ _55931 : [(238 ^ _55931) ^ [] : [-(unequally_directed_lines(_63348, _63346))], (240 ^ _55931) ^ [] : [-(unequally_directed_lines(_63348, reverse_line(_63346)))]]], (242 ^ _55931) ^ [_63917, _63919] : [-(unequally_directed_lines(_63919, _63917)), -(unequally_directed_lines(_63919, reverse_line(_63917)))], (248 ^ _55931) ^ [_64132, _64134] : [unequally_directed_lines(_64134, _64132), unequally_directed_lines(_64134, reverse_line(_64132)), -(left_convergent_lines(_64134, _64132)), -(left_convergent_lines(_64134, reverse_line(_64132)))], (262 ^ _55931) ^ [_64535, _64537] : [left_apart_point(_64537, _64535)], (264 ^ _55931) ^ [_64580, _64582] : [left_apart_point(_64582, reverse_line(_64580))], (266 ^ _55931) ^ [_64697, _64699] : [left_convergent_lines(_64699, _64697)], (268 ^ _55931) ^ [_64742, _64744] : [left_convergent_lines(_64744, reverse_line(_64742))], (270 ^ _55931) ^ [_64855, _64857] : [-(line(line_connecting(_64857, _64855))), point(_64857), point(_64855), distinct_points(_64857, _64855)], (284 ^ _55931) ^ [_65243, _65245] : [-(point(intersection_point(_65245, _65243))), line(_65245), line(_65243), unequally_directed_lines(_65245, _65243), unequally_directed_lines(_65245, reverse_line(_65243))], (302 ^ _55931) ^ [_65724, _65726] : [-(line(parallel_through_point(_65726, _65724))), point(_65724), line(_65726)], (312 ^ _55931) ^ [_66009] : [line(_66009), -(line(reverse_line(_66009)))], (318 ^ _55931) ^ [_66213, _66215] : [distinct_points(_66215, _66213), 321 ^ _55931 : [(322 ^ _55931) ^ [] : [apart_point_and_line(_66215, line_connecting(_66215, _66213))], (324 ^ _55931) ^ [] : [apart_point_and_line(_66213, line_connecting(_66215, _66213))]]], (326 ^ _55931) ^ [_66512, _66514] : [333 ^ _55931 : [(334 ^ _55931) ^ [] : [apart_point_and_line(intersection_point(_66514, _66512), _66514)], (336 ^ _55931) ^ [] : [apart_point_and_line(intersection_point(_66514, _66512), _66512)]], unequally_directed_lines(_66514, _66512), unequally_directed_lines(_66514, reverse_line(_66512))], (338 ^ _55931) ^ [_66888, _66890] : [apart_point_and_line(_66890, parallel_through_point(_66888, _66890))], (340 ^ _55931) ^ [_66970] : [distinct_lines(_66970, reverse_line(_66970))], (342 ^ _55931) ^ [_67079, _67081] : [distinct_points(_67081, _67079), -(equally_directed_lines(line_connecting(_67081, _67079), reverse_line(line_connecting(_67079, _67081))))], (348 ^ _55931) ^ [_67290, _67292] : [-(equally_directed_lines(parallel_through_point(_67290, _67292), _67290))], (350 ^ _55931) ^ [_67430, _67432, _67434, _67436] : [distinct_points(_67436, _67434), distinct_lines(_67432, _67430), -(left_apart_point(_67436, _67432)), -(left_apart_point(_67434, _67432)), -(left_apart_point(_67436, _67430)), -(left_apart_point(_67434, _67430)), -(left_apart_point(_67436, reverse_line(_67432))), -(left_apart_point(_67434, reverse_line(_67432))), -(left_apart_point(_67436, reverse_line(_67430))), -(left_apart_point(_67434, reverse_line(_67430)))], (388 ^ _55931) ^ [_68467, _68469, _68471] : [distinct_points(_68471, _68469), left_apart_point(_68471, _68467), -(left_apart_point(_68469, _68467)), -(left_convergent_lines(line_connecting(_68471, _68469), _68467))], (402 ^ _55931) ^ [_68892, _68894, _68896] : [left_apart_point(_68896, _68892), -(distinct_points(_68896, _68894)), -(left_apart_point(_68894, _68892))], (426 ^ _55931) ^ [_69619, _69621, _69623] : [left_convergent_lines(_69623, _69621), -(unequally_directed_lines(_69621, _69619)), -(left_convergent_lines(_69623, _69619))], (412 ^ _55931) ^ [_69216, _69218, _69220] : [left_apart_point(_69220, _69218), unequally_directed_lines(_69218, _69216), -(distinct_lines(_69218, _69216)), -(left_apart_point(_69220, reverse_line(_69216)))]], input).
% 0.36/1.40  ncf('1',plain,[left_apart_point(436 ^ [], reverse_line(437 ^ []))],start(262 ^ 0,bind([[_64535, _64537], [reverse_line(437 ^ []), 436 ^ []]]))).
% 0.36/1.40  ncf('1.1',plain,[-(left_apart_point(436 ^ [], reverse_line(437 ^ []))), right_apart_point(436 ^ [], 437 ^ [])],extension(14 ^ 1,bind([[_56484, _56486], [437 ^ [], 436 ^ []]]))).
% 0.36/1.40  ncf('1.1.1',plain,[-(right_apart_point(436 ^ [], 437 ^ []))],extension(441 ^ 2)).
% 0.36/1.40  %-----------------------------------------------------
% 0.36/1.40  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------