%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO264+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n017.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 0.31s 1.38s
% Output : Proof 0.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO264+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.11/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n017.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 03:54:30 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.31/1.38
% 0.31/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.31/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/1.38 %-----------------------------------------------------
% 0.31/1.38 ncf(matrix, plain, [(396 ^ _52778) ^ [] : [-(left_apart_point(393 ^ [], line_connecting(391 ^ [], 392 ^ [])))], (398 ^ _52778) ^ [] : [-(left_apart_point(394 ^ [], reverse_line(line_connecting(392 ^ [], 393 ^ []))))], (400 ^ _52778) ^ [] : [-(left_apart_point(394 ^ [], reverse_line(line_connecting(393 ^ [], 391 ^ []))))], (402 ^ _52778) ^ [] : [left_apart_point(394 ^ [], line_connecting(391 ^ [], 392 ^ []))], (12 ^ _52778) ^ [_53176, _53178] : [13 ^ _52778 : [(14 ^ _52778) ^ [] : [left_apart_point(_53178, _53176)], (16 ^ _52778) ^ [] : [left_apart_point(_53178, reverse_line(_53176))]], -(apart_point_and_line(_53178, _53176))], (2 ^ _52778) ^ [_52920, _52922] : [apart_point_and_line(_52922, _52920), -(left_apart_point(_52922, _52920)), -(left_apart_point(_52922, reverse_line(_52920)))], (20 ^ _52778) ^ [_53495, _53497] : [convergent_lines(_53497, _53495), 23 ^ _52778 : [(24 ^ _52778) ^ [] : [-(unequally_directed_lines(_53497, _53495))], (26 ^ _52778) ^ [] : [-(unequally_directed_lines(_53497, reverse_line(_53495)))]]], (28 ^ _52778) ^ [_53736, _53738] : [-(convergent_lines(_53738, _53736)), unequally_directed_lines(_53738, _53736), unequally_directed_lines(_53738, reverse_line(_53736))], (38 ^ _52778) ^ [_54084, _54086, _54088] : [divides_points(_54084, _54088, _54086), 43 ^ _52778 : [(44 ^ _52778) ^ [] : [-(left_apart_point(_54088, _54084))], (46 ^ _52778) ^ [] : [-(left_apart_point(_54086, reverse_line(_54084)))]], 47 ^ _52778 : [(48 ^ _52778) ^ [] : [-(left_apart_point(_54088, reverse_line(_54084)))], (50 ^ _52778) ^ [] : [-(left_apart_point(_54086, _54084))]]], (52 ^ _52778) ^ [_54510, _54512, _54514] : [-(divides_points(_54510, _54514, _54512)), 53 ^ _52778 : [(54 ^ _52778) ^ [] : [left_apart_point(_54514, _54510), left_apart_point(_54512, reverse_line(_54510))], (60 ^ _52778) ^ [] : [left_apart_point(_54514, reverse_line(_54510)), left_apart_point(_54512, _54510)]]], (68 ^ _52778) ^ [_55043, _55045, _55047] : [before_on_line(_55047, _55045, _55043), 71 ^ _52778 : [(72 ^ _52778) ^ [] : [-(distinct_points(_55045, _55043))], (74 ^ _52778) ^ [] : [left_apart_point(_55045, _55047)], (76 ^ _52778) ^ [] : [left_apart_point(_55045, reverse_line(_55047))], (78 ^ _52778) ^ [] : [left_apart_point(_55043, _55047)], (80 ^ _52778) ^ [] : [left_apart_point(_55043, reverse_line(_55047))], (82 ^ _52778) ^ [] : [unequally_directed_lines(_55047, line_connecting(_55045, _55043))]]], (84 ^ _52778) ^ [_55613, _55615, _55617] : [-(before_on_line(_55617, _55615, _55613)), distinct_points(_55615, _55613), -(left_apart_point(_55615, _55617)), -(left_apart_point(_55615, reverse_line(_55617))), -(unequally_directed_lines(_55617, line_connecting(_55615, _55613))), -(left_apart_point(_55613, _55617)), -(left_apart_point(_55613, reverse_line(_55617)))], (110 ^ _52778) ^ [_56382, _56384, _56386, _56388] : [between_on_line(_56388, _56386, _56384, _56382), 115 ^ _52778 : [(116 ^ _52778) ^ [] : [-(before_on_line(_56388, _56386, _56384))], (118 ^ _52778) ^ [] : [-(before_on_line(_56388, _56384, _56382))]], 119 ^ _52778 : [(120 ^ _52778) ^ [] : [-(before_on_line(_56388, _56382, _56384))], (122 ^ _52778) ^ [] : [-(before_on_line(_56388, _56384, _56386))]]], (124 ^ _52778) ^ [_56824, _56826, _56828, _56830] : [-(between_on_line(_56830, _56828, _56826, _56824)), 125 ^ _52778 : [(126 ^ _52778) ^ [] : [before_on_line(_56830, _56828, _56826), before_on_line(_56830, _56826, _56824)], (132 ^ _52778) ^ [] : [before_on_line(_56830, _56824, _56826), before_on_line(_56830, _56826, _56828)]]], (140 ^ _52778) ^ [_57302] : [distinct_points(_57302, _57302)], (142 ^ _52778) ^ [_57423, _57425, _57427] : [distinct_points(_57427, _57425), -(distinct_points(_57427, _57423)), -(distinct_points(_57425, _57423))], (152 ^ _52778) ^ [_57703] : [distinct_lines(_57703, _57703)], (154 ^ _52778) ^ [_57824, _57826, _57828] : [distinct_lines(_57828, _57826), -(distinct_lines(_57828, _57824)), -(distinct_lines(_57826, _57824))], (164 ^ _52778) ^ [_58104] : [unequally_directed_lines(_58104, _58104)], (166 ^ _52778) ^ [_58225, _58227, _58229] : [unequally_directed_lines(_58229, _58227), -(unequally_directed_lines(_58229, _58225)), -(unequally_directed_lines(_58227, _58225))], (176 ^ _52778) ^ [_58549, _58551, _58553] : [unequally_directed_lines(_58553, _58551), unequally_directed_lines(_58553, reverse_line(_58551)), 185 ^ _52778 : [(186 ^ _52778) ^ [] : [-(unequally_directed_lines(_58553, _58549))], (188 ^ _52778) ^ [] : [-(unequally_directed_lines(_58553, reverse_line(_58549)))]], 189 ^ _52778 : [(190 ^ _52778) ^ [] : [-(unequally_directed_lines(_58551, _58549))], (192 ^ _52778) ^ [] : [-(unequally_directed_lines(_58551, reverse_line(_58549)))]]], (194 ^ _52778) ^ [_59120, _59122] : [line(_59122), line(_59120), -(unequally_directed_lines(_59122, _59120)), -(unequally_directed_lines(_59122, reverse_line(_59120)))], (208 ^ _52778) ^ [_59511, _59513] : [unequally_directed_lines(_59513, _59511), unequally_directed_lines(_59513, reverse_line(_59511)), -(left_convergent_lines(_59513, _59511)), -(left_convergent_lines(_59513, reverse_line(_59511)))], (222 ^ _52778) ^ [_59914, _59916] : [left_apart_point(_59916, _59914)], (224 ^ _52778) ^ [_59959, _59961] : [left_apart_point(_59961, reverse_line(_59959))], (226 ^ _52778) ^ [_60076, _60078] : [left_convergent_lines(_60078, _60076)], (228 ^ _52778) ^ [_60121, _60123] : [left_convergent_lines(_60123, reverse_line(_60121))], (230 ^ _52778) ^ [_60234, _60236] : [-(line(line_connecting(_60236, _60234))), point(_60236), point(_60234), distinct_points(_60236, _60234)], (244 ^ _52778) ^ [_60622, _60624] : [-(point(intersection_point(_60624, _60622))), line(_60624), line(_60622), unequally_directed_lines(_60624, _60622), unequally_directed_lines(_60624, reverse_line(_60622))], (262 ^ _52778) ^ [_61103, _61105] : [-(line(parallel_through_point(_61105, _61103))), point(_61103), line(_61105)], (272 ^ _52778) ^ [_61388] : [line(_61388), -(line(reverse_line(_61388)))], (278 ^ _52778) ^ [_61592, _61594] : [distinct_points(_61594, _61592), 281 ^ _52778 : [(282 ^ _52778) ^ [] : [apart_point_and_line(_61594, line_connecting(_61594, _61592))], (284 ^ _52778) ^ [] : [apart_point_and_line(_61592, line_connecting(_61594, _61592))]]], (286 ^ _52778) ^ [_61891, _61893] : [293 ^ _52778 : [(294 ^ _52778) ^ [] : [apart_point_and_line(intersection_point(_61893, _61891), _61893)], (296 ^ _52778) ^ [] : [apart_point_and_line(intersection_point(_61893, _61891), _61891)]], unequally_directed_lines(_61893, _61891), unequally_directed_lines(_61893, reverse_line(_61891))], (298 ^ _52778) ^ [_62267, _62269] : [apart_point_and_line(_62269, parallel_through_point(_62267, _62269))], (300 ^ _52778) ^ [_62349] : [distinct_lines(_62349, reverse_line(_62349))], (302 ^ _52778) ^ [_62442, _62444] : [unequally_directed_lines(line_connecting(_62444, _62442), reverse_line(line_connecting(_62442, _62444)))], (304 ^ _52778) ^ [_62543, _62545] : [unequally_directed_lines(parallel_through_point(_62543, _62545), _62543)], (306 ^ _52778) ^ [_62683, _62685, _62687, _62689] : [distinct_points(_62689, _62687), distinct_lines(_62685, _62683), -(left_apart_point(_62689, _62685)), -(left_apart_point(_62687, _62685)), -(left_apart_point(_62689, _62683)), -(left_apart_point(_62687, _62683)), -(left_apart_point(_62689, reverse_line(_62685))), -(left_apart_point(_62687, reverse_line(_62685))), -(left_apart_point(_62689, reverse_line(_62683))), -(left_apart_point(_62687, reverse_line(_62683)))], (344 ^ _52778) ^ [_63720, _63722, _63724] : [distinct_points(_63724, _63722), left_apart_point(_63724, _63720), -(left_apart_point(_63722, _63720)), -(left_convergent_lines(line_connecting(_63724, _63722), _63720))], (358 ^ _52778) ^ [_64145, _64147, _64149] : [left_apart_point(_64149, _64145), -(distinct_points(_64149, _64147)), -(left_apart_point(_64147, _64145))], (382 ^ _52778) ^ [_64872, _64874, _64876] : [left_convergent_lines(_64876, _64874), -(unequally_directed_lines(_64874, _64872)), -(left_convergent_lines(_64876, _64872))], (368 ^ _52778) ^ [_64469, _64471, _64473] : [left_apart_point(_64473, _64471), unequally_directed_lines(_64471, _64469), -(distinct_lines(_64471, _64469)), -(left_apart_point(_64473, reverse_line(_64469)))]], input).
% 0.31/1.38 ncf('1',plain,[left_apart_point(393 ^ [], line_connecting(391 ^ [], 392 ^ []))],start(222 ^ 0,bind([[_59914, _59916], [line_connecting(391 ^ [], 392 ^ []), 393 ^ []]]))).
% 0.31/1.38 ncf('1.1',plain,[-(left_apart_point(393 ^ [], line_connecting(391 ^ [], 392 ^ [])))],extension(396 ^ 1)).
% 0.31/1.38 %-----------------------------------------------------
% 0.31/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------