TSTP Solution File: GEO243+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO243+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n017.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 11:12:20 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
% 0.07/0.11  % Problem  : GEO243+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n017.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 04:04:15 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.34/1.37  
% 0.34/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.34/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.37  %-----------------------------------------------------
% 0.34/1.37  ncf(matrix, plain, [(439 ^ _55934) ^ [] : [-(distinct_points(435 ^ [], 436 ^ []))], (441 ^ _55934) ^ [] : [-(left_apart_point(437 ^ [], line_connecting(435 ^ [], 436 ^ [])))], (443 ^ _55934) ^ [] : [right_apart_point(437 ^ [], line_connecting(436 ^ [], 435 ^ []))], (2 ^ _55934) ^ [_56076, _56078] : [unequally_directed_opposite_lines(_56078, _56076), -(unequally_directed_lines(_56078, reverse_line(_56076)))], (8 ^ _55934) ^ [_56242, _56244] : [unequally_directed_lines(_56244, reverse_line(_56242)), -(unequally_directed_opposite_lines(_56244, _56242))], (14 ^ _55934) ^ [_56487, _56489] : [right_apart_point(_56489, _56487), -(left_apart_point(_56489, reverse_line(_56487)))], (20 ^ _55934) ^ [_56653, _56655] : [left_apart_point(_56655, reverse_line(_56653)), -(right_apart_point(_56655, _56653))], (26 ^ _55934) ^ [_56898, _56900] : [right_convergent_lines(_56900, _56898), -(left_convergent_lines(_56900, reverse_line(_56898)))], (32 ^ _55934) ^ [_57064, _57066] : [left_convergent_lines(_57066, reverse_line(_57064)), -(right_convergent_lines(_57066, _57064))], (38 ^ _55934) ^ [_57309, _57311] : [equally_directed_lines(_57311, _57309), unequally_directed_lines(_57311, _57309)], (44 ^ _55934) ^ [_57472, _57474] : [-(unequally_directed_lines(_57474, _57472)), -(equally_directed_lines(_57474, _57472))], (50 ^ _55934) ^ [_57716, _57718] : [equally_directed_opposite_lines(_57718, _57716), unequally_directed_opposite_lines(_57718, _57716)], (56 ^ _55934) ^ [_57879, _57881] : [-(unequally_directed_opposite_lines(_57881, _57879)), -(equally_directed_opposite_lines(_57881, _57879))], (72 ^ _55934) ^ [_58375, _58377] : [73 ^ _55934 : [(74 ^ _55934) ^ [] : [left_apart_point(_58377, _58375)], (76 ^ _55934) ^ [] : [right_apart_point(_58377, _58375)]], -(apart_point_and_line(_58377, _58375))], (62 ^ _55934) ^ [_58123, _58125] : [apart_point_and_line(_58125, _58123), -(left_apart_point(_58125, _58123)), -(right_apart_point(_58125, _58123))], (80 ^ _55934) ^ [_58690, _58692] : [convergent_lines(_58692, _58690), 83 ^ _55934 : [(84 ^ _55934) ^ [] : [-(unequally_directed_lines(_58692, _58690))], (86 ^ _55934) ^ [] : [-(unequally_directed_opposite_lines(_58692, _58690))]]], (88 ^ _55934) ^ [_58927, _58929] : [-(convergent_lines(_58929, _58927)), unequally_directed_lines(_58929, _58927), unequally_directed_opposite_lines(_58929, _58927)], (98 ^ _55934) ^ [_59271, _59273, _59275] : [divides_points(_59271, _59275, _59273), 103 ^ _55934 : [(104 ^ _55934) ^ [] : [-(left_apart_point(_59275, _59271))], (106 ^ _55934) ^ [] : [-(right_apart_point(_59273, _59271))]], 107 ^ _55934 : [(108 ^ _55934) ^ [] : [-(right_apart_point(_59275, _59271))], (110 ^ _55934) ^ [] : [-(left_apart_point(_59273, _59271))]]], (112 ^ _55934) ^ [_59689, _59691, _59693] : [-(divides_points(_59689, _59693, _59691)), 113 ^ _55934 : [(114 ^ _55934) ^ [] : [left_apart_point(_59693, _59689), right_apart_point(_59691, _59689)], (120 ^ _55934) ^ [] : [right_apart_point(_59693, _59689), left_apart_point(_59691, _59689)]]], (128 ^ _55934) ^ [_60214, _60216, _60218] : [before_on_line(_60218, _60216, _60214), 131 ^ _55934 : [(132 ^ _55934) ^ [] : [-(distinct_points(_60216, _60214))], (134 ^ _55934) ^ [] : [-(incident_point_and_line(_60216, _60218))], (136 ^ _55934) ^ [] : [-(incident_point_and_line(_60214, _60218))], (138 ^ _55934) ^ [] : [-(equally_directed_lines(_60218, line_connecting(_60216, _60214)))]]], (140 ^ _55934) ^ [_60619, _60621, _60623] : [-(before_on_line(_60623, _60621, _60619)), distinct_points(_60621, _60619), incident_point_and_line(_60621, _60623), incident_point_and_line(_60619, _60623), equally_directed_lines(_60623, line_connecting(_60621, _60619))], (158 ^ _55934) ^ [_61181, _61183, _61185, _61187] : [between_on_line(_61187, _61185, _61183, _61181), 163 ^ _55934 : [(164 ^ _55934) ^ [] : [-(before_on_line(_61187, _61185, _61183))], (166 ^ _55934) ^ [] : [-(before_on_line(_61187, _61183, _61181))]], 167 ^ _55934 : [(168 ^ _55934) ^ [] : [-(before_on_line(_61187, _61181, _61183))], (170 ^ _55934) ^ [] : [-(before_on_line(_61187, _61183, _61185))]]], (172 ^ _55934) ^ [_61623, _61625, _61627, _61629] : [-(between_on_line(_61629, _61627, _61625, _61623)), 173 ^ _55934 : [(174 ^ _55934) ^ [] : [before_on_line(_61629, _61627, _61625), before_on_line(_61629, _61625, _61623)], (180 ^ _55934) ^ [] : [before_on_line(_61629, _61623, _61625), before_on_line(_61629, _61625, _61627)]]], (188 ^ _55934) ^ [_62101] : [distinct_points(_62101, _62101)], (190 ^ _55934) ^ [_62222, _62224, _62226] : [distinct_points(_62226, _62224), -(distinct_points(_62226, _62222)), -(distinct_points(_62224, _62222))], (200 ^ _55934) ^ [_62502] : [distinct_lines(_62502, _62502)], (202 ^ _55934) ^ [_62623, _62625, _62627] : [distinct_lines(_62627, _62625), -(distinct_lines(_62627, _62623)), -(distinct_lines(_62625, _62623))], (212 ^ _55934) ^ [_62904] : [-(equally_directed_lines(_62904, _62904))], (214 ^ _55934) ^ [_63025, _63027, _63029] : [unequally_directed_lines(_63029, _63027), -(unequally_directed_lines(_63029, _63025)), -(unequally_directed_lines(_63027, _63025))], (224 ^ _55934) ^ [_63349, _63351, _63353] : [unequally_directed_lines(_63353, _63351), unequally_directed_lines(_63353, reverse_line(_63351)), 233 ^ _55934 : [(234 ^ _55934) ^ [] : [-(unequally_directed_lines(_63353, _63349))], (236 ^ _55934) ^ [] : [-(unequally_directed_lines(_63353, reverse_line(_63349)))]], 237 ^ _55934 : [(238 ^ _55934) ^ [] : [-(unequally_directed_lines(_63351, _63349))], (240 ^ _55934) ^ [] : [-(unequally_directed_lines(_63351, reverse_line(_63349)))]]], (242 ^ _55934) ^ [_63920, _63922] : [-(unequally_directed_lines(_63922, _63920)), -(unequally_directed_lines(_63922, reverse_line(_63920)))], (248 ^ _55934) ^ [_64135, _64137] : [unequally_directed_lines(_64137, _64135), unequally_directed_lines(_64137, reverse_line(_64135)), -(left_convergent_lines(_64137, _64135)), -(left_convergent_lines(_64137, reverse_line(_64135)))], (262 ^ _55934) ^ [_64538, _64540] : [left_apart_point(_64540, _64538)], (264 ^ _55934) ^ [_64583, _64585] : [left_apart_point(_64585, reverse_line(_64583))], (266 ^ _55934) ^ [_64700, _64702] : [left_convergent_lines(_64702, _64700)], (268 ^ _55934) ^ [_64745, _64747] : [left_convergent_lines(_64747, reverse_line(_64745))], (270 ^ _55934) ^ [_64858, _64860] : [-(line(line_connecting(_64860, _64858))), point(_64860), point(_64858), distinct_points(_64860, _64858)], (284 ^ _55934) ^ [_65246, _65248] : [-(point(intersection_point(_65248, _65246))), line(_65248), line(_65246), unequally_directed_lines(_65248, _65246), unequally_directed_lines(_65248, reverse_line(_65246))], (302 ^ _55934) ^ [_65727, _65729] : [-(line(parallel_through_point(_65729, _65727))), point(_65727), line(_65729)], (312 ^ _55934) ^ [_66012] : [line(_66012), -(line(reverse_line(_66012)))], (318 ^ _55934) ^ [_66216, _66218] : [distinct_points(_66218, _66216), 321 ^ _55934 : [(322 ^ _55934) ^ [] : [apart_point_and_line(_66218, line_connecting(_66218, _66216))], (324 ^ _55934) ^ [] : [apart_point_and_line(_66216, line_connecting(_66218, _66216))]]], (326 ^ _55934) ^ [_66515, _66517] : [333 ^ _55934 : [(334 ^ _55934) ^ [] : [apart_point_and_line(intersection_point(_66517, _66515), _66517)], (336 ^ _55934) ^ [] : [apart_point_and_line(intersection_point(_66517, _66515), _66515)]], unequally_directed_lines(_66517, _66515), unequally_directed_lines(_66517, reverse_line(_66515))], (338 ^ _55934) ^ [_66891, _66893] : [apart_point_and_line(_66893, parallel_through_point(_66891, _66893))], (340 ^ _55934) ^ [_66973] : [distinct_lines(_66973, reverse_line(_66973))], (342 ^ _55934) ^ [_67082, _67084] : [distinct_points(_67084, _67082), -(equally_directed_lines(line_connecting(_67084, _67082), reverse_line(line_connecting(_67082, _67084))))], (348 ^ _55934) ^ [_67293, _67295] : [-(equally_directed_lines(parallel_through_point(_67293, _67295), _67293))], (350 ^ _55934) ^ [_67433, _67435, _67437, _67439] : [distinct_points(_67439, _67437), distinct_lines(_67435, _67433), -(left_apart_point(_67439, _67435)), -(left_apart_point(_67437, _67435)), -(left_apart_point(_67439, _67433)), -(left_apart_point(_67437, _67433)), -(left_apart_point(_67439, reverse_line(_67435))), -(left_apart_point(_67437, reverse_line(_67435))), -(left_apart_point(_67439, reverse_line(_67433))), -(left_apart_point(_67437, reverse_line(_67433)))], (388 ^ _55934) ^ [_68470, _68472, _68474] : [distinct_points(_68474, _68472), left_apart_point(_68474, _68470), -(left_apart_point(_68472, _68470)), -(left_convergent_lines(line_connecting(_68474, _68472), _68470))], (402 ^ _55934) ^ [_68895, _68897, _68899] : [left_apart_point(_68899, _68895), -(distinct_points(_68899, _68897)), -(left_apart_point(_68897, _68895))], (426 ^ _55934) ^ [_69622, _69624, _69626] : [left_convergent_lines(_69626, _69624), -(unequally_directed_lines(_69624, _69622)), -(left_convergent_lines(_69626, _69622))], (412 ^ _55934) ^ [_69219, _69221, _69223] : [left_apart_point(_69223, _69221), unequally_directed_lines(_69221, _69219), -(distinct_lines(_69221, _69219)), -(left_apart_point(_69223, reverse_line(_69219)))]], input).
% 0.34/1.37  ncf('1',plain,[left_apart_point(437 ^ [], line_connecting(435 ^ [], 436 ^ []))],start(262 ^ 0,bind([[_64538, _64540], [line_connecting(435 ^ [], 436 ^ []), 437 ^ []]]))).
% 0.34/1.37  ncf('1.1',plain,[-(left_apart_point(437 ^ [], line_connecting(435 ^ [], 436 ^ [])))],extension(441 ^ 1)).
% 0.34/1.37  %-----------------------------------------------------
% 0.34/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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