TSTP Solution File: GEO238+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO238+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n001.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 11:12:19 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  : GEO238+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.14/0.35  % Computer : n001.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri May 19 04:30:21 EDT 2023
% 0.14/0.35  % 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, [(440 ^ _56885) ^ [] : [-(divides_points(438 ^ [], 435 ^ [], 436 ^ []))], (442 ^ _56885) ^ [] : [-(divides_points(438 ^ [], 435 ^ [], 437 ^ []))], (444 ^ _56885) ^ [] : [-(divides_points(438 ^ [], 436 ^ [], 437 ^ []))], (2 ^ _56885) ^ [_57027, _57029] : [unequally_directed_opposite_lines(_57029, _57027), -(unequally_directed_lines(_57029, reverse_line(_57027)))], (8 ^ _56885) ^ [_57193, _57195] : [unequally_directed_lines(_57195, reverse_line(_57193)), -(unequally_directed_opposite_lines(_57195, _57193))], (14 ^ _56885) ^ [_57438, _57440] : [right_apart_point(_57440, _57438), -(left_apart_point(_57440, reverse_line(_57438)))], (20 ^ _56885) ^ [_57604, _57606] : [left_apart_point(_57606, reverse_line(_57604)), -(right_apart_point(_57606, _57604))], (26 ^ _56885) ^ [_57849, _57851] : [right_convergent_lines(_57851, _57849), -(left_convergent_lines(_57851, reverse_line(_57849)))], (32 ^ _56885) ^ [_58015, _58017] : [left_convergent_lines(_58017, reverse_line(_58015)), -(right_convergent_lines(_58017, _58015))], (38 ^ _56885) ^ [_58260, _58262] : [equally_directed_lines(_58262, _58260), unequally_directed_lines(_58262, _58260)], (44 ^ _56885) ^ [_58423, _58425] : [-(unequally_directed_lines(_58425, _58423)), -(equally_directed_lines(_58425, _58423))], (50 ^ _56885) ^ [_58667, _58669] : [equally_directed_opposite_lines(_58669, _58667), unequally_directed_opposite_lines(_58669, _58667)], (56 ^ _56885) ^ [_58830, _58832] : [-(unequally_directed_opposite_lines(_58832, _58830)), -(equally_directed_opposite_lines(_58832, _58830))], (72 ^ _56885) ^ [_59326, _59328] : [73 ^ _56885 : [(74 ^ _56885) ^ [] : [left_apart_point(_59328, _59326)], (76 ^ _56885) ^ [] : [right_apart_point(_59328, _59326)]], -(apart_point_and_line(_59328, _59326))], (62 ^ _56885) ^ [_59074, _59076] : [apart_point_and_line(_59076, _59074), -(left_apart_point(_59076, _59074)), -(right_apart_point(_59076, _59074))], (80 ^ _56885) ^ [_59641, _59643] : [convergent_lines(_59643, _59641), 83 ^ _56885 : [(84 ^ _56885) ^ [] : [-(unequally_directed_lines(_59643, _59641))], (86 ^ _56885) ^ [] : [-(unequally_directed_opposite_lines(_59643, _59641))]]], (88 ^ _56885) ^ [_59878, _59880] : [-(convergent_lines(_59880, _59878)), unequally_directed_lines(_59880, _59878), unequally_directed_opposite_lines(_59880, _59878)], (98 ^ _56885) ^ [_60222, _60224, _60226] : [divides_points(_60222, _60226, _60224), 103 ^ _56885 : [(104 ^ _56885) ^ [] : [-(left_apart_point(_60226, _60222))], (106 ^ _56885) ^ [] : [-(right_apart_point(_60224, _60222))]], 107 ^ _56885 : [(108 ^ _56885) ^ [] : [-(right_apart_point(_60226, _60222))], (110 ^ _56885) ^ [] : [-(left_apart_point(_60224, _60222))]]], (112 ^ _56885) ^ [_60640, _60642, _60644] : [-(divides_points(_60640, _60644, _60642)), 113 ^ _56885 : [(114 ^ _56885) ^ [] : [left_apart_point(_60644, _60640), right_apart_point(_60642, _60640)], (120 ^ _56885) ^ [] : [right_apart_point(_60644, _60640), left_apart_point(_60642, _60640)]]], (128 ^ _56885) ^ [_61165, _61167, _61169] : [before_on_line(_61169, _61167, _61165), 131 ^ _56885 : [(132 ^ _56885) ^ [] : [-(distinct_points(_61167, _61165))], (134 ^ _56885) ^ [] : [-(incident_point_and_line(_61167, _61169))], (136 ^ _56885) ^ [] : [-(incident_point_and_line(_61165, _61169))], (138 ^ _56885) ^ [] : [-(equally_directed_lines(_61169, line_connecting(_61167, _61165)))]]], (140 ^ _56885) ^ [_61570, _61572, _61574] : [-(before_on_line(_61574, _61572, _61570)), distinct_points(_61572, _61570), incident_point_and_line(_61572, _61574), incident_point_and_line(_61570, _61574), equally_directed_lines(_61574, line_connecting(_61572, _61570))], (158 ^ _56885) ^ [_62132, _62134, _62136, _62138] : [between_on_line(_62138, _62136, _62134, _62132), 163 ^ _56885 : [(164 ^ _56885) ^ [] : [-(before_on_line(_62138, _62136, _62134))], (166 ^ _56885) ^ [] : [-(before_on_line(_62138, _62134, _62132))]], 167 ^ _56885 : [(168 ^ _56885) ^ [] : [-(before_on_line(_62138, _62132, _62134))], (170 ^ _56885) ^ [] : [-(before_on_line(_62138, _62134, _62136))]]], (172 ^ _56885) ^ [_62574, _62576, _62578, _62580] : [-(between_on_line(_62580, _62578, _62576, _62574)), 173 ^ _56885 : [(174 ^ _56885) ^ [] : [before_on_line(_62580, _62578, _62576), before_on_line(_62580, _62576, _62574)], (180 ^ _56885) ^ [] : [before_on_line(_62580, _62574, _62576), before_on_line(_62580, _62576, _62578)]]], (188 ^ _56885) ^ [_63052] : [distinct_points(_63052, _63052)], (190 ^ _56885) ^ [_63173, _63175, _63177] : [distinct_points(_63177, _63175), -(distinct_points(_63177, _63173)), -(distinct_points(_63175, _63173))], (200 ^ _56885) ^ [_63453] : [distinct_lines(_63453, _63453)], (202 ^ _56885) ^ [_63574, _63576, _63578] : [distinct_lines(_63578, _63576), -(distinct_lines(_63578, _63574)), -(distinct_lines(_63576, _63574))], (212 ^ _56885) ^ [_63855] : [-(equally_directed_lines(_63855, _63855))], (214 ^ _56885) ^ [_63976, _63978, _63980] : [unequally_directed_lines(_63980, _63978), -(unequally_directed_lines(_63980, _63976)), -(unequally_directed_lines(_63978, _63976))], (224 ^ _56885) ^ [_64300, _64302, _64304] : [unequally_directed_lines(_64304, _64302), unequally_directed_lines(_64304, reverse_line(_64302)), 233 ^ _56885 : [(234 ^ _56885) ^ [] : [-(unequally_directed_lines(_64304, _64300))], (236 ^ _56885) ^ [] : [-(unequally_directed_lines(_64304, reverse_line(_64300)))]], 237 ^ _56885 : [(238 ^ _56885) ^ [] : [-(unequally_directed_lines(_64302, _64300))], (240 ^ _56885) ^ [] : [-(unequally_directed_lines(_64302, reverse_line(_64300)))]]], (242 ^ _56885) ^ [_64871, _64873] : [-(unequally_directed_lines(_64873, _64871)), -(unequally_directed_lines(_64873, reverse_line(_64871)))], (248 ^ _56885) ^ [_65086, _65088] : [unequally_directed_lines(_65088, _65086), unequally_directed_lines(_65088, reverse_line(_65086)), -(left_convergent_lines(_65088, _65086)), -(left_convergent_lines(_65088, reverse_line(_65086)))], (262 ^ _56885) ^ [_65489, _65491] : [left_apart_point(_65491, _65489)], (264 ^ _56885) ^ [_65534, _65536] : [left_apart_point(_65536, reverse_line(_65534))], (266 ^ _56885) ^ [_65651, _65653] : [left_convergent_lines(_65653, _65651)], (268 ^ _56885) ^ [_65696, _65698] : [left_convergent_lines(_65698, reverse_line(_65696))], (270 ^ _56885) ^ [_65809, _65811] : [-(line(line_connecting(_65811, _65809))), point(_65811), point(_65809), distinct_points(_65811, _65809)], (284 ^ _56885) ^ [_66197, _66199] : [-(point(intersection_point(_66199, _66197))), line(_66199), line(_66197), unequally_directed_lines(_66199, _66197), unequally_directed_lines(_66199, reverse_line(_66197))], (302 ^ _56885) ^ [_66678, _66680] : [-(line(parallel_through_point(_66680, _66678))), point(_66678), line(_66680)], (312 ^ _56885) ^ [_66963] : [line(_66963), -(line(reverse_line(_66963)))], (318 ^ _56885) ^ [_67167, _67169] : [distinct_points(_67169, _67167), 321 ^ _56885 : [(322 ^ _56885) ^ [] : [apart_point_and_line(_67169, line_connecting(_67169, _67167))], (324 ^ _56885) ^ [] : [apart_point_and_line(_67167, line_connecting(_67169, _67167))]]], (326 ^ _56885) ^ [_67466, _67468] : [333 ^ _56885 : [(334 ^ _56885) ^ [] : [apart_point_and_line(intersection_point(_67468, _67466), _67468)], (336 ^ _56885) ^ [] : [apart_point_and_line(intersection_point(_67468, _67466), _67466)]], unequally_directed_lines(_67468, _67466), unequally_directed_lines(_67468, reverse_line(_67466))], (338 ^ _56885) ^ [_67842, _67844] : [apart_point_and_line(_67844, parallel_through_point(_67842, _67844))], (340 ^ _56885) ^ [_67924] : [distinct_lines(_67924, reverse_line(_67924))], (342 ^ _56885) ^ [_68033, _68035] : [distinct_points(_68035, _68033), -(equally_directed_lines(line_connecting(_68035, _68033), reverse_line(line_connecting(_68033, _68035))))], (348 ^ _56885) ^ [_68244, _68246] : [-(equally_directed_lines(parallel_through_point(_68244, _68246), _68244))], (350 ^ _56885) ^ [_68384, _68386, _68388, _68390] : [distinct_points(_68390, _68388), distinct_lines(_68386, _68384), -(left_apart_point(_68390, _68386)), -(left_apart_point(_68388, _68386)), -(left_apart_point(_68390, _68384)), -(left_apart_point(_68388, _68384)), -(left_apart_point(_68390, reverse_line(_68386))), -(left_apart_point(_68388, reverse_line(_68386))), -(left_apart_point(_68390, reverse_line(_68384))), -(left_apart_point(_68388, reverse_line(_68384)))], (388 ^ _56885) ^ [_69421, _69423, _69425] : [distinct_points(_69425, _69423), left_apart_point(_69425, _69421), -(left_apart_point(_69423, _69421)), -(left_convergent_lines(line_connecting(_69425, _69423), _69421))], (402 ^ _56885) ^ [_69846, _69848, _69850] : [left_apart_point(_69850, _69846), -(distinct_points(_69850, _69848)), -(left_apart_point(_69848, _69846))], (426 ^ _56885) ^ [_70573, _70575, _70577] : [left_convergent_lines(_70577, _70575), -(unequally_directed_lines(_70575, _70573)), -(left_convergent_lines(_70577, _70573))], (412 ^ _56885) ^ [_70170, _70172, _70174] : [left_apart_point(_70174, _70172), unequally_directed_lines(_70172, _70170), -(distinct_lines(_70172, _70170)), -(left_apart_point(_70174, reverse_line(_70170)))]], input).
% 0.36/1.40  ncf('1',plain,[left_apart_point(435 ^ [], 438 ^ [])],start(262 ^ 0,bind([[_65489, _65491], [438 ^ [], 435 ^ []]]))).
% 0.36/1.40  ncf('1.1',plain,[-(left_apart_point(435 ^ [], 438 ^ [])), divides_points(438 ^ [], 435 ^ [], 436 ^ []), 110 : -(left_apart_point(436 ^ [], 438 ^ []))],extension(98 ^ 1,bind([[_60222, _60224, _60226], [438 ^ [], 436 ^ [], 435 ^ []]]))).
% 0.36/1.40  ncf('1.1.1',plain,[-(divides_points(438 ^ [], 435 ^ [], 436 ^ []))],extension(440 ^ 2)).
% 0.36/1.40  ncf('1.1.2',plain,[left_apart_point(436 ^ [], 438 ^ [])],extension(262 ^ 4,bind([[_65489, _65491], [438 ^ [], 436 ^ []]]))).
% 0.36/1.40  %-----------------------------------------------------
% 0.36/1.40  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------