%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO227+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n012.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 0.35s 1.37s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : GEO227+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n012.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 04:35:31 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.35/1.37  
% 0.35/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.35/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.37  %-----------------------------------------------------
% 0.35/1.37  ncf(matrix, plain, [(394 ^ _52155) ^ [] : [-(line(391 ^ []))], (396 ^ _52155) ^ [] : [-(line(392 ^ []))], (398 ^ _52155) ^ [] : [unequally_directed_lines(391 ^ [], 392 ^ [])], (400 ^ _52155) ^ [] : [unequally_directed_lines(391 ^ [], reverse_line(392 ^ []))], (12 ^ _52155) ^ [_52553, _52555] : [13 ^ _52155 : [(14 ^ _52155) ^ [] : [left_apart_point(_52555, _52553)], (16 ^ _52155) ^ [] : [left_apart_point(_52555, reverse_line(_52553))]], -(apart_point_and_line(_52555, _52553))], (2 ^ _52155) ^ [_52297, _52299] : [apart_point_and_line(_52299, _52297), -(left_apart_point(_52299, _52297)), -(left_apart_point(_52299, reverse_line(_52297)))], (20 ^ _52155) ^ [_52872, _52874] : [convergent_lines(_52874, _52872), 23 ^ _52155 : [(24 ^ _52155) ^ [] : [-(unequally_directed_lines(_52874, _52872))], (26 ^ _52155) ^ [] : [-(unequally_directed_lines(_52874, reverse_line(_52872)))]]], (28 ^ _52155) ^ [_53113, _53115] : [-(convergent_lines(_53115, _53113)), unequally_directed_lines(_53115, _53113), unequally_directed_lines(_53115, reverse_line(_53113))], (38 ^ _52155) ^ [_53461, _53463, _53465] : [divides_points(_53461, _53465, _53463), 43 ^ _52155 : [(44 ^ _52155) ^ [] : [-(left_apart_point(_53465, _53461))], (46 ^ _52155) ^ [] : [-(left_apart_point(_53463, reverse_line(_53461)))]], 47 ^ _52155 : [(48 ^ _52155) ^ [] : [-(left_apart_point(_53465, reverse_line(_53461)))], (50 ^ _52155) ^ [] : [-(left_apart_point(_53463, _53461))]]], (52 ^ _52155) ^ [_53887, _53889, _53891] : [-(divides_points(_53887, _53891, _53889)), 53 ^ _52155 : [(54 ^ _52155) ^ [] : [left_apart_point(_53891, _53887), left_apart_point(_53889, reverse_line(_53887))], (60 ^ _52155) ^ [] : [left_apart_point(_53891, reverse_line(_53887)), left_apart_point(_53889, _53887)]]], (68 ^ _52155) ^ [_54420, _54422, _54424] : [before_on_line(_54424, _54422, _54420), 71 ^ _52155 : [(72 ^ _52155) ^ [] : [-(distinct_points(_54422, _54420))], (74 ^ _52155) ^ [] : [left_apart_point(_54422, _54424)], (76 ^ _52155) ^ [] : [left_apart_point(_54422, reverse_line(_54424))], (78 ^ _52155) ^ [] : [left_apart_point(_54420, _54424)], (80 ^ _52155) ^ [] : [left_apart_point(_54420, reverse_line(_54424))], (82 ^ _52155) ^ [] : [unequally_directed_lines(_54424, line_connecting(_54422, _54420))]]], (84 ^ _52155) ^ [_54990, _54992, _54994] : [-(before_on_line(_54994, _54992, _54990)), distinct_points(_54992, _54990), -(left_apart_point(_54992, _54994)), -(left_apart_point(_54992, reverse_line(_54994))), -(unequally_directed_lines(_54994, line_connecting(_54992, _54990))), -(left_apart_point(_54990, _54994)), -(left_apart_point(_54990, reverse_line(_54994)))], (110 ^ _52155) ^ [_55759, _55761, _55763, _55765] : [between_on_line(_55765, _55763, _55761, _55759), 115 ^ _52155 : [(116 ^ _52155) ^ [] : [-(before_on_line(_55765, _55763, _55761))], (118 ^ _52155) ^ [] : [-(before_on_line(_55765, _55761, _55759))]], 119 ^ _52155 : [(120 ^ _52155) ^ [] : [-(before_on_line(_55765, _55759, _55761))], (122 ^ _52155) ^ [] : [-(before_on_line(_55765, _55761, _55763))]]], (124 ^ _52155) ^ [_56201, _56203, _56205, _56207] : [-(between_on_line(_56207, _56205, _56203, _56201)), 125 ^ _52155 : [(126 ^ _52155) ^ [] : [before_on_line(_56207, _56205, _56203), before_on_line(_56207, _56203, _56201)], (132 ^ _52155) ^ [] : [before_on_line(_56207, _56201, _56203), before_on_line(_56207, _56203, _56205)]]], (140 ^ _52155) ^ [_56679] : [distinct_points(_56679, _56679)], (142 ^ _52155) ^ [_56800, _56802, _56804] : [distinct_points(_56804, _56802), -(distinct_points(_56804, _56800)), -(distinct_points(_56802, _56800))], (152 ^ _52155) ^ [_57080] : [distinct_lines(_57080, _57080)], (154 ^ _52155) ^ [_57201, _57203, _57205] : [distinct_lines(_57205, _57203), -(distinct_lines(_57205, _57201)), -(distinct_lines(_57203, _57201))], (164 ^ _52155) ^ [_57481] : [unequally_directed_lines(_57481, _57481)], (166 ^ _52155) ^ [_57602, _57604, _57606] : [unequally_directed_lines(_57606, _57604), -(unequally_directed_lines(_57606, _57602)), -(unequally_directed_lines(_57604, _57602))], (176 ^ _52155) ^ [_57926, _57928, _57930] : [unequally_directed_lines(_57930, _57928), unequally_directed_lines(_57930, reverse_line(_57928)), 185 ^ _52155 : [(186 ^ _52155) ^ [] : [-(unequally_directed_lines(_57930, _57926))], (188 ^ _52155) ^ [] : [-(unequally_directed_lines(_57930, reverse_line(_57926)))]], 189 ^ _52155 : [(190 ^ _52155) ^ [] : [-(unequally_directed_lines(_57928, _57926))], (192 ^ _52155) ^ [] : [-(unequally_directed_lines(_57928, reverse_line(_57926)))]]], (194 ^ _52155) ^ [_58497, _58499] : [line(_58499), line(_58497), -(unequally_directed_lines(_58499, _58497)), -(unequally_directed_lines(_58499, reverse_line(_58497)))], (208 ^ _52155) ^ [_58888, _58890] : [unequally_directed_lines(_58890, _58888), unequally_directed_lines(_58890, reverse_line(_58888)), -(left_convergent_lines(_58890, _58888)), -(left_convergent_lines(_58890, reverse_line(_58888)))], (222 ^ _52155) ^ [_59291, _59293] : [left_apart_point(_59293, _59291)], (224 ^ _52155) ^ [_59336, _59338] : [left_apart_point(_59338, reverse_line(_59336))], (226 ^ _52155) ^ [_59453, _59455] : [left_convergent_lines(_59455, _59453)], (228 ^ _52155) ^ [_59498, _59500] : [left_convergent_lines(_59500, reverse_line(_59498))], (230 ^ _52155) ^ [_59611, _59613] : [-(line(line_connecting(_59613, _59611))), point(_59613), point(_59611), distinct_points(_59613, _59611)], (244 ^ _52155) ^ [_59999, _60001] : [-(point(intersection_point(_60001, _59999))), line(_60001), line(_59999), unequally_directed_lines(_60001, _59999), unequally_directed_lines(_60001, reverse_line(_59999))], (262 ^ _52155) ^ [_60480, _60482] : [-(line(parallel_through_point(_60482, _60480))), point(_60480), line(_60482)], (272 ^ _52155) ^ [_60765] : [line(_60765), -(line(reverse_line(_60765)))], (278 ^ _52155) ^ [_60969, _60971] : [distinct_points(_60971, _60969), 281 ^ _52155 : [(282 ^ _52155) ^ [] : [apart_point_and_line(_60971, line_connecting(_60971, _60969))], (284 ^ _52155) ^ [] : [apart_point_and_line(_60969, line_connecting(_60971, _60969))]]], (286 ^ _52155) ^ [_61268, _61270] : [293 ^ _52155 : [(294 ^ _52155) ^ [] : [apart_point_and_line(intersection_point(_61270, _61268), _61270)], (296 ^ _52155) ^ [] : [apart_point_and_line(intersection_point(_61270, _61268), _61268)]], unequally_directed_lines(_61270, _61268), unequally_directed_lines(_61270, reverse_line(_61268))], (298 ^ _52155) ^ [_61644, _61646] : [apart_point_and_line(_61646, parallel_through_point(_61644, _61646))], (300 ^ _52155) ^ [_61726] : [distinct_lines(_61726, reverse_line(_61726))], (302 ^ _52155) ^ [_61819, _61821] : [unequally_directed_lines(line_connecting(_61821, _61819), reverse_line(line_connecting(_61819, _61821)))], (304 ^ _52155) ^ [_61920, _61922] : [unequally_directed_lines(parallel_through_point(_61920, _61922), _61920)], (306 ^ _52155) ^ [_62060, _62062, _62064, _62066] : [distinct_points(_62066, _62064), distinct_lines(_62062, _62060), -(left_apart_point(_62066, _62062)), -(left_apart_point(_62064, _62062)), -(left_apart_point(_62066, _62060)), -(left_apart_point(_62064, _62060)), -(left_apart_point(_62066, reverse_line(_62062))), -(left_apart_point(_62064, reverse_line(_62062))), -(left_apart_point(_62066, reverse_line(_62060))), -(left_apart_point(_62064, reverse_line(_62060)))], (344 ^ _52155) ^ [_63097, _63099, _63101] : [distinct_points(_63101, _63099), left_apart_point(_63101, _63097), -(left_apart_point(_63099, _63097)), -(left_convergent_lines(line_connecting(_63101, _63099), _63097))], (358 ^ _52155) ^ [_63522, _63524, _63526] : [left_apart_point(_63526, _63522), -(distinct_points(_63526, _63524)), -(left_apart_point(_63524, _63522))], (382 ^ _52155) ^ [_64249, _64251, _64253] : [left_convergent_lines(_64253, _64251), -(unequally_directed_lines(_64251, _64249)), -(left_convergent_lines(_64253, _64249))], (368 ^ _52155) ^ [_63846, _63848, _63850] : [left_apart_point(_63850, _63848), unequally_directed_lines(_63848, _63846), -(distinct_lines(_63848, _63846)), -(left_apart_point(_63850, reverse_line(_63846)))]], input).
% 0.35/1.37  ncf('1',plain,[unequally_directed_lines(391 ^ [], 392 ^ [])],start(398 ^ 0)).
% 0.35/1.37  ncf('1.1',plain,[-(unequally_directed_lines(391 ^ [], 392 ^ [])), line(391 ^ []), line(392 ^ []), -(unequally_directed_lines(391 ^ [], reverse_line(392 ^ [])))],extension(194 ^ 1,bind([[_58497, _58499], [392 ^ [], 391 ^ []]]))).
% 0.35/1.37  ncf('1.1.1',plain,[-(line(391 ^ []))],extension(394 ^ 2)).
% 0.35/1.37  ncf('1.1.2',plain,[-(line(392 ^ []))],extension(396 ^ 2)).
% 0.35/1.37  ncf('1.1.3',plain,[unequally_directed_lines(391 ^ [], reverse_line(392 ^ []))],extension(400 ^ 2)).
% 0.35/1.37  %-----------------------------------------------------
% 0.35/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------