TSTP Solution File: GEO250+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO250+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n006.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 11:12:21 EDT 2023

% Result   : Theorem 0.34s 1.37s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GEO250+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n006.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 04:22:06 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.34/1.37  
% 0.34/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.37  %-----------------------------------------------------
% 0.34/1.37  ncf(matrix, plain, [(439 ^ _55608) ^ [] : [-(left_apart_point(436 ^ [], parallel_through_point(437 ^ [], 435 ^ [])))], (441 ^ _55608) ^ [] : [right_apart_point(435 ^ [], parallel_through_point(437 ^ [], 436 ^ []))], (2 ^ _55608) ^ [_55750, _55752] : [unequally_directed_opposite_lines(_55752, _55750), -(unequally_directed_lines(_55752, reverse_line(_55750)))], (8 ^ _55608) ^ [_55916, _55918] : [unequally_directed_lines(_55918, reverse_line(_55916)), -(unequally_directed_opposite_lines(_55918, _55916))], (14 ^ _55608) ^ [_56161, _56163] : [right_apart_point(_56163, _56161), -(left_apart_point(_56163, reverse_line(_56161)))], (20 ^ _55608) ^ [_56327, _56329] : [left_apart_point(_56329, reverse_line(_56327)), -(right_apart_point(_56329, _56327))], (26 ^ _55608) ^ [_56572, _56574] : [right_convergent_lines(_56574, _56572), -(left_convergent_lines(_56574, reverse_line(_56572)))], (32 ^ _55608) ^ [_56738, _56740] : [left_convergent_lines(_56740, reverse_line(_56738)), -(right_convergent_lines(_56740, _56738))], (38 ^ _55608) ^ [_56983, _56985] : [equally_directed_lines(_56985, _56983), unequally_directed_lines(_56985, _56983)], (44 ^ _55608) ^ [_57146, _57148] : [-(unequally_directed_lines(_57148, _57146)), -(equally_directed_lines(_57148, _57146))], (50 ^ _55608) ^ [_57390, _57392] : [equally_directed_opposite_lines(_57392, _57390), unequally_directed_opposite_lines(_57392, _57390)], (56 ^ _55608) ^ [_57553, _57555] : [-(unequally_directed_opposite_lines(_57555, _57553)), -(equally_directed_opposite_lines(_57555, _57553))], (72 ^ _55608) ^ [_58049, _58051] : [73 ^ _55608 : [(74 ^ _55608) ^ [] : [left_apart_point(_58051, _58049)], (76 ^ _55608) ^ [] : [right_apart_point(_58051, _58049)]], -(apart_point_and_line(_58051, _58049))], (62 ^ _55608) ^ [_57797, _57799] : [apart_point_and_line(_57799, _57797), -(left_apart_point(_57799, _57797)), -(right_apart_point(_57799, _57797))], (80 ^ _55608) ^ [_58364, _58366] : [convergent_lines(_58366, _58364), 83 ^ _55608 : [(84 ^ _55608) ^ [] : [-(unequally_directed_lines(_58366, _58364))], (86 ^ _55608) ^ [] : [-(unequally_directed_opposite_lines(_58366, _58364))]]], (88 ^ _55608) ^ [_58601, _58603] : [-(convergent_lines(_58603, _58601)), unequally_directed_lines(_58603, _58601), unequally_directed_opposite_lines(_58603, _58601)], (98 ^ _55608) ^ [_58945, _58947, _58949] : [divides_points(_58945, _58949, _58947), 103 ^ _55608 : [(104 ^ _55608) ^ [] : [-(left_apart_point(_58949, _58945))], (106 ^ _55608) ^ [] : [-(right_apart_point(_58947, _58945))]], 107 ^ _55608 : [(108 ^ _55608) ^ [] : [-(right_apart_point(_58949, _58945))], (110 ^ _55608) ^ [] : [-(left_apart_point(_58947, _58945))]]], (112 ^ _55608) ^ [_59363, _59365, _59367] : [-(divides_points(_59363, _59367, _59365)), 113 ^ _55608 : [(114 ^ _55608) ^ [] : [left_apart_point(_59367, _59363), right_apart_point(_59365, _59363)], (120 ^ _55608) ^ [] : [right_apart_point(_59367, _59363), left_apart_point(_59365, _59363)]]], (128 ^ _55608) ^ [_59888, _59890, _59892] : [before_on_line(_59892, _59890, _59888), 131 ^ _55608 : [(132 ^ _55608) ^ [] : [-(distinct_points(_59890, _59888))], (134 ^ _55608) ^ [] : [-(incident_point_and_line(_59890, _59892))], (136 ^ _55608) ^ [] : [-(incident_point_and_line(_59888, _59892))], (138 ^ _55608) ^ [] : [-(equally_directed_lines(_59892, line_connecting(_59890, _59888)))]]], (140 ^ _55608) ^ [_60293, _60295, _60297] : [-(before_on_line(_60297, _60295, _60293)), distinct_points(_60295, _60293), incident_point_and_line(_60295, _60297), incident_point_and_line(_60293, _60297), equally_directed_lines(_60297, line_connecting(_60295, _60293))], (158 ^ _55608) ^ [_60855, _60857, _60859, _60861] : [between_on_line(_60861, _60859, _60857, _60855), 163 ^ _55608 : [(164 ^ _55608) ^ [] : [-(before_on_line(_60861, _60859, _60857))], (166 ^ _55608) ^ [] : [-(before_on_line(_60861, _60857, _60855))]], 167 ^ _55608 : [(168 ^ _55608) ^ [] : [-(before_on_line(_60861, _60855, _60857))], (170 ^ _55608) ^ [] : [-(before_on_line(_60861, _60857, _60859))]]], (172 ^ _55608) ^ [_61297, _61299, _61301, _61303] : [-(between_on_line(_61303, _61301, _61299, _61297)), 173 ^ _55608 : [(174 ^ _55608) ^ [] : [before_on_line(_61303, _61301, _61299), before_on_line(_61303, _61299, _61297)], (180 ^ _55608) ^ [] : [before_on_line(_61303, _61297, _61299), before_on_line(_61303, _61299, _61301)]]], (188 ^ _55608) ^ [_61775] : [distinct_points(_61775, _61775)], (190 ^ _55608) ^ [_61896, _61898, _61900] : [distinct_points(_61900, _61898), -(distinct_points(_61900, _61896)), -(distinct_points(_61898, _61896))], (200 ^ _55608) ^ [_62176] : [distinct_lines(_62176, _62176)], (202 ^ _55608) ^ [_62297, _62299, _62301] : [distinct_lines(_62301, _62299), -(distinct_lines(_62301, _62297)), -(distinct_lines(_62299, _62297))], (212 ^ _55608) ^ [_62578] : [-(equally_directed_lines(_62578, _62578))], (214 ^ _55608) ^ [_62699, _62701, _62703] : [unequally_directed_lines(_62703, _62701), -(unequally_directed_lines(_62703, _62699)), -(unequally_directed_lines(_62701, _62699))], (224 ^ _55608) ^ [_63023, _63025, _63027] : [unequally_directed_lines(_63027, _63025), unequally_directed_lines(_63027, reverse_line(_63025)), 233 ^ _55608 : [(234 ^ _55608) ^ [] : [-(unequally_directed_lines(_63027, _63023))], (236 ^ _55608) ^ [] : [-(unequally_directed_lines(_63027, reverse_line(_63023)))]], 237 ^ _55608 : [(238 ^ _55608) ^ [] : [-(unequally_directed_lines(_63025, _63023))], (240 ^ _55608) ^ [] : [-(unequally_directed_lines(_63025, reverse_line(_63023)))]]], (242 ^ _55608) ^ [_63594, _63596] : [-(unequally_directed_lines(_63596, _63594)), -(unequally_directed_lines(_63596, reverse_line(_63594)))], (248 ^ _55608) ^ [_63809, _63811] : [unequally_directed_lines(_63811, _63809), unequally_directed_lines(_63811, reverse_line(_63809)), -(left_convergent_lines(_63811, _63809)), -(left_convergent_lines(_63811, reverse_line(_63809)))], (262 ^ _55608) ^ [_64212, _64214] : [left_apart_point(_64214, _64212)], (264 ^ _55608) ^ [_64257, _64259] : [left_apart_point(_64259, reverse_line(_64257))], (266 ^ _55608) ^ [_64374, _64376] : [left_convergent_lines(_64376, _64374)], (268 ^ _55608) ^ [_64419, _64421] : [left_convergent_lines(_64421, reverse_line(_64419))], (270 ^ _55608) ^ [_64532, _64534] : [-(line(line_connecting(_64534, _64532))), point(_64534), point(_64532), distinct_points(_64534, _64532)], (284 ^ _55608) ^ [_64920, _64922] : [-(point(intersection_point(_64922, _64920))), line(_64922), line(_64920), unequally_directed_lines(_64922, _64920), unequally_directed_lines(_64922, reverse_line(_64920))], (302 ^ _55608) ^ [_65401, _65403] : [-(line(parallel_through_point(_65403, _65401))), point(_65401), line(_65403)], (312 ^ _55608) ^ [_65686] : [line(_65686), -(line(reverse_line(_65686)))], (318 ^ _55608) ^ [_65890, _65892] : [distinct_points(_65892, _65890), 321 ^ _55608 : [(322 ^ _55608) ^ [] : [apart_point_and_line(_65892, line_connecting(_65892, _65890))], (324 ^ _55608) ^ [] : [apart_point_and_line(_65890, line_connecting(_65892, _65890))]]], (326 ^ _55608) ^ [_66189, _66191] : [333 ^ _55608 : [(334 ^ _55608) ^ [] : [apart_point_and_line(intersection_point(_66191, _66189), _66191)], (336 ^ _55608) ^ [] : [apart_point_and_line(intersection_point(_66191, _66189), _66189)]], unequally_directed_lines(_66191, _66189), unequally_directed_lines(_66191, reverse_line(_66189))], (338 ^ _55608) ^ [_66565, _66567] : [apart_point_and_line(_66567, parallel_through_point(_66565, _66567))], (340 ^ _55608) ^ [_66647] : [distinct_lines(_66647, reverse_line(_66647))], (342 ^ _55608) ^ [_66756, _66758] : [distinct_points(_66758, _66756), -(equally_directed_lines(line_connecting(_66758, _66756), reverse_line(line_connecting(_66756, _66758))))], (348 ^ _55608) ^ [_66967, _66969] : [-(equally_directed_lines(parallel_through_point(_66967, _66969), _66967))], (350 ^ _55608) ^ [_67107, _67109, _67111, _67113] : [distinct_points(_67113, _67111), distinct_lines(_67109, _67107), -(left_apart_point(_67113, _67109)), -(left_apart_point(_67111, _67109)), -(left_apart_point(_67113, _67107)), -(left_apart_point(_67111, _67107)), -(left_apart_point(_67113, reverse_line(_67109))), -(left_apart_point(_67111, reverse_line(_67109))), -(left_apart_point(_67113, reverse_line(_67107))), -(left_apart_point(_67111, reverse_line(_67107)))], (388 ^ _55608) ^ [_68144, _68146, _68148] : [distinct_points(_68148, _68146), left_apart_point(_68148, _68144), -(left_apart_point(_68146, _68144)), -(left_convergent_lines(line_connecting(_68148, _68146), _68144))], (402 ^ _55608) ^ [_68569, _68571, _68573] : [left_apart_point(_68573, _68569), -(distinct_points(_68573, _68571)), -(left_apart_point(_68571, _68569))], (426 ^ _55608) ^ [_69296, _69298, _69300] : [left_convergent_lines(_69300, _69298), -(unequally_directed_lines(_69298, _69296)), -(left_convergent_lines(_69300, _69296))], (412 ^ _55608) ^ [_68893, _68895, _68897] : [left_apart_point(_68897, _68895), unequally_directed_lines(_68895, _68893), -(distinct_lines(_68895, _68893)), -(left_apart_point(_68897, reverse_line(_68893)))]], input).
% 0.34/1.37  ncf('1',plain,[left_apart_point(436 ^ [], parallel_through_point(437 ^ [], 435 ^ []))],start(262 ^ 0,bind([[_64212, _64214], [parallel_through_point(437 ^ [], 435 ^ []), 436 ^ []]]))).
% 0.34/1.37  ncf('1.1',plain,[-(left_apart_point(436 ^ [], parallel_through_point(437 ^ [], 435 ^ [])))],extension(439 ^ 1)).
% 0.34/1.37  %-----------------------------------------------------
% 0.34/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------