%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO228+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n008.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 11:12:18 EDT 2023

% Result   : Theorem 0.32s 1.37s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO228+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.00/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n008.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 04:26:09 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.32/1.37  
% 0.32/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.32/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.37  %-----------------------------------------------------
% 0.32/1.37  ncf(matrix, plain, [(394 ^ _53729) ^ [] : [395 ^ _53729 : [(396 ^ _53729) ^ [] : [convergent_lines(391 ^ [], 392 ^ [])], (398 ^ _53729) ^ [] : [-(unequally_directed_lines(391 ^ [], 392 ^ []))], (400 ^ _53729) ^ [] : [-(unequally_directed_lines(391 ^ [], reverse_line(392 ^ [])))]], 401 ^ _53729 : [(408 ^ _53729) ^ [] : [-(convergent_lines(391 ^ [], 392 ^ []))], (402 ^ _53729) ^ [] : [unequally_directed_lines(391 ^ [], 392 ^ []), unequally_directed_lines(391 ^ [], reverse_line(392 ^ []))]]], (12 ^ _53729) ^ [_54127, _54129] : [13 ^ _53729 : [(14 ^ _53729) ^ [] : [left_apart_point(_54129, _54127)], (16 ^ _53729) ^ [] : [left_apart_point(_54129, reverse_line(_54127))]], -(apart_point_and_line(_54129, _54127))], (2 ^ _53729) ^ [_53871, _53873] : [apart_point_and_line(_53873, _53871), -(left_apart_point(_53873, _53871)), -(left_apart_point(_53873, reverse_line(_53871)))], (20 ^ _53729) ^ [_54446, _54448] : [convergent_lines(_54448, _54446), 23 ^ _53729 : [(24 ^ _53729) ^ [] : [-(unequally_directed_lines(_54448, _54446))], (26 ^ _53729) ^ [] : [-(unequally_directed_lines(_54448, reverse_line(_54446)))]]], (28 ^ _53729) ^ [_54687, _54689] : [-(convergent_lines(_54689, _54687)), unequally_directed_lines(_54689, _54687), unequally_directed_lines(_54689, reverse_line(_54687))], (38 ^ _53729) ^ [_55035, _55037, _55039] : [divides_points(_55035, _55039, _55037), 43 ^ _53729 : [(44 ^ _53729) ^ [] : [-(left_apart_point(_55039, _55035))], (46 ^ _53729) ^ [] : [-(left_apart_point(_55037, reverse_line(_55035)))]], 47 ^ _53729 : [(48 ^ _53729) ^ [] : [-(left_apart_point(_55039, reverse_line(_55035)))], (50 ^ _53729) ^ [] : [-(left_apart_point(_55037, _55035))]]], (52 ^ _53729) ^ [_55461, _55463, _55465] : [-(divides_points(_55461, _55465, _55463)), 53 ^ _53729 : [(54 ^ _53729) ^ [] : [left_apart_point(_55465, _55461), left_apart_point(_55463, reverse_line(_55461))], (60 ^ _53729) ^ [] : [left_apart_point(_55465, reverse_line(_55461)), left_apart_point(_55463, _55461)]]], (68 ^ _53729) ^ [_55994, _55996, _55998] : [before_on_line(_55998, _55996, _55994), 71 ^ _53729 : [(72 ^ _53729) ^ [] : [-(distinct_points(_55996, _55994))], (74 ^ _53729) ^ [] : [left_apart_point(_55996, _55998)], (76 ^ _53729) ^ [] : [left_apart_point(_55996, reverse_line(_55998))], (78 ^ _53729) ^ [] : [left_apart_point(_55994, _55998)], (80 ^ _53729) ^ [] : [left_apart_point(_55994, reverse_line(_55998))], (82 ^ _53729) ^ [] : [unequally_directed_lines(_55998, line_connecting(_55996, _55994))]]], (84 ^ _53729) ^ [_56564, _56566, _56568] : [-(before_on_line(_56568, _56566, _56564)), distinct_points(_56566, _56564), -(left_apart_point(_56566, _56568)), -(left_apart_point(_56566, reverse_line(_56568))), -(unequally_directed_lines(_56568, line_connecting(_56566, _56564))), -(left_apart_point(_56564, _56568)), -(left_apart_point(_56564, reverse_line(_56568)))], (110 ^ _53729) ^ [_57333, _57335, _57337, _57339] : [between_on_line(_57339, _57337, _57335, _57333), 115 ^ _53729 : [(116 ^ _53729) ^ [] : [-(before_on_line(_57339, _57337, _57335))], (118 ^ _53729) ^ [] : [-(before_on_line(_57339, _57335, _57333))]], 119 ^ _53729 : [(120 ^ _53729) ^ [] : [-(before_on_line(_57339, _57333, _57335))], (122 ^ _53729) ^ [] : [-(before_on_line(_57339, _57335, _57337))]]], (124 ^ _53729) ^ [_57775, _57777, _57779, _57781] : [-(between_on_line(_57781, _57779, _57777, _57775)), 125 ^ _53729 : [(126 ^ _53729) ^ [] : [before_on_line(_57781, _57779, _57777), before_on_line(_57781, _57777, _57775)], (132 ^ _53729) ^ [] : [before_on_line(_57781, _57775, _57777), before_on_line(_57781, _57777, _57779)]]], (140 ^ _53729) ^ [_58253] : [distinct_points(_58253, _58253)], (142 ^ _53729) ^ [_58374, _58376, _58378] : [distinct_points(_58378, _58376), -(distinct_points(_58378, _58374)), -(distinct_points(_58376, _58374))], (152 ^ _53729) ^ [_58654] : [distinct_lines(_58654, _58654)], (154 ^ _53729) ^ [_58775, _58777, _58779] : [distinct_lines(_58779, _58777), -(distinct_lines(_58779, _58775)), -(distinct_lines(_58777, _58775))], (164 ^ _53729) ^ [_59055] : [unequally_directed_lines(_59055, _59055)], (166 ^ _53729) ^ [_59176, _59178, _59180] : [unequally_directed_lines(_59180, _59178), -(unequally_directed_lines(_59180, _59176)), -(unequally_directed_lines(_59178, _59176))], (176 ^ _53729) ^ [_59500, _59502, _59504] : [unequally_directed_lines(_59504, _59502), unequally_directed_lines(_59504, reverse_line(_59502)), 185 ^ _53729 : [(186 ^ _53729) ^ [] : [-(unequally_directed_lines(_59504, _59500))], (188 ^ _53729) ^ [] : [-(unequally_directed_lines(_59504, reverse_line(_59500)))]], 189 ^ _53729 : [(190 ^ _53729) ^ [] : [-(unequally_directed_lines(_59502, _59500))], (192 ^ _53729) ^ [] : [-(unequally_directed_lines(_59502, reverse_line(_59500)))]]], (194 ^ _53729) ^ [_60071, _60073] : [line(_60073), line(_60071), -(unequally_directed_lines(_60073, _60071)), -(unequally_directed_lines(_60073, reverse_line(_60071)))], (208 ^ _53729) ^ [_60462, _60464] : [unequally_directed_lines(_60464, _60462), unequally_directed_lines(_60464, reverse_line(_60462)), -(left_convergent_lines(_60464, _60462)), -(left_convergent_lines(_60464, reverse_line(_60462)))], (222 ^ _53729) ^ [_60865, _60867] : [left_apart_point(_60867, _60865)], (224 ^ _53729) ^ [_60910, _60912] : [left_apart_point(_60912, reverse_line(_60910))], (226 ^ _53729) ^ [_61027, _61029] : [left_convergent_lines(_61029, _61027)], (228 ^ _53729) ^ [_61072, _61074] : [left_convergent_lines(_61074, reverse_line(_61072))], (230 ^ _53729) ^ [_61185, _61187] : [-(line(line_connecting(_61187, _61185))), point(_61187), point(_61185), distinct_points(_61187, _61185)], (244 ^ _53729) ^ [_61573, _61575] : [-(point(intersection_point(_61575, _61573))), line(_61575), line(_61573), unequally_directed_lines(_61575, _61573), unequally_directed_lines(_61575, reverse_line(_61573))], (262 ^ _53729) ^ [_62054, _62056] : [-(line(parallel_through_point(_62056, _62054))), point(_62054), line(_62056)], (272 ^ _53729) ^ [_62339] : [line(_62339), -(line(reverse_line(_62339)))], (278 ^ _53729) ^ [_62543, _62545] : [distinct_points(_62545, _62543), 281 ^ _53729 : [(282 ^ _53729) ^ [] : [apart_point_and_line(_62545, line_connecting(_62545, _62543))], (284 ^ _53729) ^ [] : [apart_point_and_line(_62543, line_connecting(_62545, _62543))]]], (286 ^ _53729) ^ [_62842, _62844] : [293 ^ _53729 : [(294 ^ _53729) ^ [] : [apart_point_and_line(intersection_point(_62844, _62842), _62844)], (296 ^ _53729) ^ [] : [apart_point_and_line(intersection_point(_62844, _62842), _62842)]], unequally_directed_lines(_62844, _62842), unequally_directed_lines(_62844, reverse_line(_62842))], (298 ^ _53729) ^ [_63218, _63220] : [apart_point_and_line(_63220, parallel_through_point(_63218, _63220))], (300 ^ _53729) ^ [_63300] : [distinct_lines(_63300, reverse_line(_63300))], (302 ^ _53729) ^ [_63393, _63395] : [unequally_directed_lines(line_connecting(_63395, _63393), reverse_line(line_connecting(_63393, _63395)))], (304 ^ _53729) ^ [_63494, _63496] : [unequally_directed_lines(parallel_through_point(_63494, _63496), _63494)], (306 ^ _53729) ^ [_63634, _63636, _63638, _63640] : [distinct_points(_63640, _63638), distinct_lines(_63636, _63634), -(left_apart_point(_63640, _63636)), -(left_apart_point(_63638, _63636)), -(left_apart_point(_63640, _63634)), -(left_apart_point(_63638, _63634)), -(left_apart_point(_63640, reverse_line(_63636))), -(left_apart_point(_63638, reverse_line(_63636))), -(left_apart_point(_63640, reverse_line(_63634))), -(left_apart_point(_63638, reverse_line(_63634)))], (344 ^ _53729) ^ [_64671, _64673, _64675] : [distinct_points(_64675, _64673), left_apart_point(_64675, _64671), -(left_apart_point(_64673, _64671)), -(left_convergent_lines(line_connecting(_64675, _64673), _64671))], (358 ^ _53729) ^ [_65096, _65098, _65100] : [left_apart_point(_65100, _65096), -(distinct_points(_65100, _65098)), -(left_apart_point(_65098, _65096))], (382 ^ _53729) ^ [_65823, _65825, _65827] : [left_convergent_lines(_65827, _65825), -(unequally_directed_lines(_65825, _65823)), -(left_convergent_lines(_65827, _65823))], (368 ^ _53729) ^ [_65420, _65422, _65424] : [left_apart_point(_65424, _65422), unequally_directed_lines(_65422, _65420), -(distinct_lines(_65422, _65420)), -(left_apart_point(_65424, reverse_line(_65420)))]], input).
% 0.32/1.37  ncf('1',plain,[396 : convergent_lines(391 ^ [], 392 ^ []), 402 : unequally_directed_lines(391 ^ [], 392 ^ []), 402 : unequally_directed_lines(391 ^ [], reverse_line(392 ^ []))],start(394 ^ 0)).
% 0.32/1.37  ncf('1.1',plain,[-(convergent_lines(391 ^ [], 392 ^ [])), unequally_directed_lines(391 ^ [], 392 ^ []), unequally_directed_lines(391 ^ [], reverse_line(392 ^ []))],extension(28 ^ 3,bind([[_54687, _54689], [392 ^ [], 391 ^ []]]))).
% 0.32/1.37  ncf('1.1.1',plain,[-(unequally_directed_lines(391 ^ [], 392 ^ []))],extension(398 ^ 4)).
% 0.32/1.37  ncf('1.1.2',plain,[-(unequally_directed_lines(391 ^ [], reverse_line(392 ^ [])))],extension(400 ^ 4)).
% 0.32/1.37  ncf('1.2',plain,[-(unequally_directed_lines(391 ^ [], 392 ^ [])), convergent_lines(391 ^ [], 392 ^ [])],extension(20 ^ 3,bind([[_54446, _54448], [392 ^ [], 391 ^ []]]))).
% 0.32/1.37  ncf('1.2.1',plain,[-(convergent_lines(391 ^ [], 392 ^ []))],extension(408 ^ 4)).
% 0.32/1.37  ncf('1.3',plain,[-(unequally_directed_lines(391 ^ [], reverse_line(392 ^ []))), convergent_lines(391 ^ [], 392 ^ [])],extension(20 ^ 3,bind([[_54446, _54448], [392 ^ [], 391 ^ []]]))).
% 0.32/1.37  ncf('1.3.1',plain,[-(convergent_lines(391 ^ [], 392 ^ []))],extension(408 ^ 4)).
% 0.32/1.37  %-----------------------------------------------------
% 0.32/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------