TSTP Solution File: GEO252+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO252+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n028.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 11:12:22 EDT 2023

% Result   : Theorem 0.34s 1.38s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : GEO252+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri May 19 04:52:48 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.34/1.38  
% 0.34/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.38  %-----------------------------------------------------
% 0.34/1.38  ncf(matrix, plain, [(439 ^ _56082) ^ [] : [-(left_apart_point(435 ^ [], 437 ^ []))], (441 ^ _56082) ^ [] : [-(right_apart_point(436 ^ [], 437 ^ []))], (443 ^ _56082) ^ [] : [distinct_points(435 ^ [], 436 ^ []), left_convergent_lines(line_connecting(435 ^ [], 436 ^ []), 437 ^ [])], (2 ^ _56082) ^ [_56224, _56226] : [unequally_directed_opposite_lines(_56226, _56224), -(unequally_directed_lines(_56226, reverse_line(_56224)))], (8 ^ _56082) ^ [_56390, _56392] : [unequally_directed_lines(_56392, reverse_line(_56390)), -(unequally_directed_opposite_lines(_56392, _56390))], (14 ^ _56082) ^ [_56635, _56637] : [right_apart_point(_56637, _56635), -(left_apart_point(_56637, reverse_line(_56635)))], (20 ^ _56082) ^ [_56801, _56803] : [left_apart_point(_56803, reverse_line(_56801)), -(right_apart_point(_56803, _56801))], (26 ^ _56082) ^ [_57046, _57048] : [right_convergent_lines(_57048, _57046), -(left_convergent_lines(_57048, reverse_line(_57046)))], (32 ^ _56082) ^ [_57212, _57214] : [left_convergent_lines(_57214, reverse_line(_57212)), -(right_convergent_lines(_57214, _57212))], (38 ^ _56082) ^ [_57457, _57459] : [equally_directed_lines(_57459, _57457), unequally_directed_lines(_57459, _57457)], (44 ^ _56082) ^ [_57620, _57622] : [-(unequally_directed_lines(_57622, _57620)), -(equally_directed_lines(_57622, _57620))], (50 ^ _56082) ^ [_57864, _57866] : [equally_directed_opposite_lines(_57866, _57864), unequally_directed_opposite_lines(_57866, _57864)], (56 ^ _56082) ^ [_58027, _58029] : [-(unequally_directed_opposite_lines(_58029, _58027)), -(equally_directed_opposite_lines(_58029, _58027))], (72 ^ _56082) ^ [_58523, _58525] : [73 ^ _56082 : [(74 ^ _56082) ^ [] : [left_apart_point(_58525, _58523)], (76 ^ _56082) ^ [] : [right_apart_point(_58525, _58523)]], -(apart_point_and_line(_58525, _58523))], (62 ^ _56082) ^ [_58271, _58273] : [apart_point_and_line(_58273, _58271), -(left_apart_point(_58273, _58271)), -(right_apart_point(_58273, _58271))], (80 ^ _56082) ^ [_58838, _58840] : [convergent_lines(_58840, _58838), 83 ^ _56082 : [(84 ^ _56082) ^ [] : [-(unequally_directed_lines(_58840, _58838))], (86 ^ _56082) ^ [] : [-(unequally_directed_opposite_lines(_58840, _58838))]]], (88 ^ _56082) ^ [_59075, _59077] : [-(convergent_lines(_59077, _59075)), unequally_directed_lines(_59077, _59075), unequally_directed_opposite_lines(_59077, _59075)], (98 ^ _56082) ^ [_59419, _59421, _59423] : [divides_points(_59419, _59423, _59421), 103 ^ _56082 : [(104 ^ _56082) ^ [] : [-(left_apart_point(_59423, _59419))], (106 ^ _56082) ^ [] : [-(right_apart_point(_59421, _59419))]], 107 ^ _56082 : [(108 ^ _56082) ^ [] : [-(right_apart_point(_59423, _59419))], (110 ^ _56082) ^ [] : [-(left_apart_point(_59421, _59419))]]], (112 ^ _56082) ^ [_59837, _59839, _59841] : [-(divides_points(_59837, _59841, _59839)), 113 ^ _56082 : [(114 ^ _56082) ^ [] : [left_apart_point(_59841, _59837), right_apart_point(_59839, _59837)], (120 ^ _56082) ^ [] : [right_apart_point(_59841, _59837), left_apart_point(_59839, _59837)]]], (128 ^ _56082) ^ [_60362, _60364, _60366] : [before_on_line(_60366, _60364, _60362), 131 ^ _56082 : [(132 ^ _56082) ^ [] : [-(distinct_points(_60364, _60362))], (134 ^ _56082) ^ [] : [-(incident_point_and_line(_60364, _60366))], (136 ^ _56082) ^ [] : [-(incident_point_and_line(_60362, _60366))], (138 ^ _56082) ^ [] : [-(equally_directed_lines(_60366, line_connecting(_60364, _60362)))]]], (140 ^ _56082) ^ [_60767, _60769, _60771] : [-(before_on_line(_60771, _60769, _60767)), distinct_points(_60769, _60767), incident_point_and_line(_60769, _60771), incident_point_and_line(_60767, _60771), equally_directed_lines(_60771, line_connecting(_60769, _60767))], (158 ^ _56082) ^ [_61329, _61331, _61333, _61335] : [between_on_line(_61335, _61333, _61331, _61329), 163 ^ _56082 : [(164 ^ _56082) ^ [] : [-(before_on_line(_61335, _61333, _61331))], (166 ^ _56082) ^ [] : [-(before_on_line(_61335, _61331, _61329))]], 167 ^ _56082 : [(168 ^ _56082) ^ [] : [-(before_on_line(_61335, _61329, _61331))], (170 ^ _56082) ^ [] : [-(before_on_line(_61335, _61331, _61333))]]], (172 ^ _56082) ^ [_61771, _61773, _61775, _61777] : [-(between_on_line(_61777, _61775, _61773, _61771)), 173 ^ _56082 : [(174 ^ _56082) ^ [] : [before_on_line(_61777, _61775, _61773), before_on_line(_61777, _61773, _61771)], (180 ^ _56082) ^ [] : [before_on_line(_61777, _61771, _61773), before_on_line(_61777, _61773, _61775)]]], (188 ^ _56082) ^ [_62249] : [distinct_points(_62249, _62249)], (190 ^ _56082) ^ [_62370, _62372, _62374] : [distinct_points(_62374, _62372), -(distinct_points(_62374, _62370)), -(distinct_points(_62372, _62370))], (200 ^ _56082) ^ [_62650] : [distinct_lines(_62650, _62650)], (202 ^ _56082) ^ [_62771, _62773, _62775] : [distinct_lines(_62775, _62773), -(distinct_lines(_62775, _62771)), -(distinct_lines(_62773, _62771))], (212 ^ _56082) ^ [_63052] : [-(equally_directed_lines(_63052, _63052))], (214 ^ _56082) ^ [_63173, _63175, _63177] : [unequally_directed_lines(_63177, _63175), -(unequally_directed_lines(_63177, _63173)), -(unequally_directed_lines(_63175, _63173))], (224 ^ _56082) ^ [_63497, _63499, _63501] : [unequally_directed_lines(_63501, _63499), unequally_directed_lines(_63501, reverse_line(_63499)), 233 ^ _56082 : [(234 ^ _56082) ^ [] : [-(unequally_directed_lines(_63501, _63497))], (236 ^ _56082) ^ [] : [-(unequally_directed_lines(_63501, reverse_line(_63497)))]], 237 ^ _56082 : [(238 ^ _56082) ^ [] : [-(unequally_directed_lines(_63499, _63497))], (240 ^ _56082) ^ [] : [-(unequally_directed_lines(_63499, reverse_line(_63497)))]]], (242 ^ _56082) ^ [_64068, _64070] : [-(unequally_directed_lines(_64070, _64068)), -(unequally_directed_lines(_64070, reverse_line(_64068)))], (248 ^ _56082) ^ [_64283, _64285] : [unequally_directed_lines(_64285, _64283), unequally_directed_lines(_64285, reverse_line(_64283)), -(left_convergent_lines(_64285, _64283)), -(left_convergent_lines(_64285, reverse_line(_64283)))], (262 ^ _56082) ^ [_64686, _64688] : [left_apart_point(_64688, _64686)], (264 ^ _56082) ^ [_64731, _64733] : [left_apart_point(_64733, reverse_line(_64731))], (266 ^ _56082) ^ [_64848, _64850] : [left_convergent_lines(_64850, _64848)], (268 ^ _56082) ^ [_64893, _64895] : [left_convergent_lines(_64895, reverse_line(_64893))], (270 ^ _56082) ^ [_65006, _65008] : [-(line(line_connecting(_65008, _65006))), point(_65008), point(_65006), distinct_points(_65008, _65006)], (284 ^ _56082) ^ [_65394, _65396] : [-(point(intersection_point(_65396, _65394))), line(_65396), line(_65394), unequally_directed_lines(_65396, _65394), unequally_directed_lines(_65396, reverse_line(_65394))], (302 ^ _56082) ^ [_65875, _65877] : [-(line(parallel_through_point(_65877, _65875))), point(_65875), line(_65877)], (312 ^ _56082) ^ [_66160] : [line(_66160), -(line(reverse_line(_66160)))], (318 ^ _56082) ^ [_66364, _66366] : [distinct_points(_66366, _66364), 321 ^ _56082 : [(322 ^ _56082) ^ [] : [apart_point_and_line(_66366, line_connecting(_66366, _66364))], (324 ^ _56082) ^ [] : [apart_point_and_line(_66364, line_connecting(_66366, _66364))]]], (326 ^ _56082) ^ [_66663, _66665] : [333 ^ _56082 : [(334 ^ _56082) ^ [] : [apart_point_and_line(intersection_point(_66665, _66663), _66665)], (336 ^ _56082) ^ [] : [apart_point_and_line(intersection_point(_66665, _66663), _66663)]], unequally_directed_lines(_66665, _66663), unequally_directed_lines(_66665, reverse_line(_66663))], (338 ^ _56082) ^ [_67039, _67041] : [apart_point_and_line(_67041, parallel_through_point(_67039, _67041))], (340 ^ _56082) ^ [_67121] : [distinct_lines(_67121, reverse_line(_67121))], (342 ^ _56082) ^ [_67230, _67232] : [distinct_points(_67232, _67230), -(equally_directed_lines(line_connecting(_67232, _67230), reverse_line(line_connecting(_67230, _67232))))], (348 ^ _56082) ^ [_67441, _67443] : [-(equally_directed_lines(parallel_through_point(_67441, _67443), _67441))], (350 ^ _56082) ^ [_67581, _67583, _67585, _67587] : [distinct_points(_67587, _67585), distinct_lines(_67583, _67581), -(left_apart_point(_67587, _67583)), -(left_apart_point(_67585, _67583)), -(left_apart_point(_67587, _67581)), -(left_apart_point(_67585, _67581)), -(left_apart_point(_67587, reverse_line(_67583))), -(left_apart_point(_67585, reverse_line(_67583))), -(left_apart_point(_67587, reverse_line(_67581))), -(left_apart_point(_67585, reverse_line(_67581)))], (388 ^ _56082) ^ [_68618, _68620, _68622] : [distinct_points(_68622, _68620), left_apart_point(_68622, _68618), -(left_apart_point(_68620, _68618)), -(left_convergent_lines(line_connecting(_68622, _68620), _68618))], (402 ^ _56082) ^ [_69043, _69045, _69047] : [left_apart_point(_69047, _69043), -(distinct_points(_69047, _69045)), -(left_apart_point(_69045, _69043))], (426 ^ _56082) ^ [_69770, _69772, _69774] : [left_convergent_lines(_69774, _69772), -(unequally_directed_lines(_69772, _69770)), -(left_convergent_lines(_69774, _69770))], (412 ^ _56082) ^ [_69367, _69369, _69371] : [left_apart_point(_69371, _69369), unequally_directed_lines(_69369, _69367), -(distinct_lines(_69369, _69367)), -(left_apart_point(_69371, reverse_line(_69367)))]], input).
% 0.34/1.38  ncf('1',plain,[left_apart_point(435 ^ [], 437 ^ [])],start(262 ^ 0,bind([[_64686, _64688], [437 ^ [], 435 ^ []]]))).
% 0.34/1.38  ncf('1.1',plain,[-(left_apart_point(435 ^ [], 437 ^ []))],extension(439 ^ 1)).
% 0.34/1.38  %-----------------------------------------------------
% 0.34/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------