TSTP Solution File: GEO241+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO241+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n002.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 0.35s 1.37s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO241+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n002.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 04:31:19 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, [(439 ^ _56127) ^ [] : [-(incident_point_and_line(435 ^ [], 437 ^ []))], (441 ^ _56127) ^ [] : [-(distinct_points(435 ^ [], 436 ^ []))], (443 ^ _56127) ^ [] : [-(left_convergent_lines(437 ^ [], line_connecting(435 ^ [], 436 ^ [])))], (445 ^ _56127) ^ [] : [left_apart_point(436 ^ [], 437 ^ [])], (2 ^ _56127) ^ [_56269, _56271] : [unequally_directed_opposite_lines(_56271, _56269), -(unequally_directed_lines(_56271, reverse_line(_56269)))], (8 ^ _56127) ^ [_56435, _56437] : [unequally_directed_lines(_56437, reverse_line(_56435)), -(unequally_directed_opposite_lines(_56437, _56435))], (14 ^ _56127) ^ [_56680, _56682] : [right_apart_point(_56682, _56680), -(left_apart_point(_56682, reverse_line(_56680)))], (20 ^ _56127) ^ [_56846, _56848] : [left_apart_point(_56848, reverse_line(_56846)), -(right_apart_point(_56848, _56846))], (26 ^ _56127) ^ [_57091, _57093] : [right_convergent_lines(_57093, _57091), -(left_convergent_lines(_57093, reverse_line(_57091)))], (32 ^ _56127) ^ [_57257, _57259] : [left_convergent_lines(_57259, reverse_line(_57257)), -(right_convergent_lines(_57259, _57257))], (38 ^ _56127) ^ [_57502, _57504] : [equally_directed_lines(_57504, _57502), unequally_directed_lines(_57504, _57502)], (44 ^ _56127) ^ [_57665, _57667] : [-(unequally_directed_lines(_57667, _57665)), -(equally_directed_lines(_57667, _57665))], (50 ^ _56127) ^ [_57909, _57911] : [equally_directed_opposite_lines(_57911, _57909), unequally_directed_opposite_lines(_57911, _57909)], (56 ^ _56127) ^ [_58072, _58074] : [-(unequally_directed_opposite_lines(_58074, _58072)), -(equally_directed_opposite_lines(_58074, _58072))], (72 ^ _56127) ^ [_58568, _58570] : [73 ^ _56127 : [(74 ^ _56127) ^ [] : [left_apart_point(_58570, _58568)], (76 ^ _56127) ^ [] : [right_apart_point(_58570, _58568)]], -(apart_point_and_line(_58570, _58568))], (62 ^ _56127) ^ [_58316, _58318] : [apart_point_and_line(_58318, _58316), -(left_apart_point(_58318, _58316)), -(right_apart_point(_58318, _58316))], (80 ^ _56127) ^ [_58883, _58885] : [convergent_lines(_58885, _58883), 83 ^ _56127 : [(84 ^ _56127) ^ [] : [-(unequally_directed_lines(_58885, _58883))], (86 ^ _56127) ^ [] : [-(unequally_directed_opposite_lines(_58885, _58883))]]], (88 ^ _56127) ^ [_59120, _59122] : [-(convergent_lines(_59122, _59120)), unequally_directed_lines(_59122, _59120), unequally_directed_opposite_lines(_59122, _59120)], (98 ^ _56127) ^ [_59464, _59466, _59468] : [divides_points(_59464, _59468, _59466), 103 ^ _56127 : [(104 ^ _56127) ^ [] : [-(left_apart_point(_59468, _59464))], (106 ^ _56127) ^ [] : [-(right_apart_point(_59466, _59464))]], 107 ^ _56127 : [(108 ^ _56127) ^ [] : [-(right_apart_point(_59468, _59464))], (110 ^ _56127) ^ [] : [-(left_apart_point(_59466, _59464))]]], (112 ^ _56127) ^ [_59882, _59884, _59886] : [-(divides_points(_59882, _59886, _59884)), 113 ^ _56127 : [(114 ^ _56127) ^ [] : [left_apart_point(_59886, _59882), right_apart_point(_59884, _59882)], (120 ^ _56127) ^ [] : [right_apart_point(_59886, _59882), left_apart_point(_59884, _59882)]]], (128 ^ _56127) ^ [_60407, _60409, _60411] : [before_on_line(_60411, _60409, _60407), 131 ^ _56127 : [(132 ^ _56127) ^ [] : [-(distinct_points(_60409, _60407))], (134 ^ _56127) ^ [] : [-(incident_point_and_line(_60409, _60411))], (136 ^ _56127) ^ [] : [-(incident_point_and_line(_60407, _60411))], (138 ^ _56127) ^ [] : [-(equally_directed_lines(_60411, line_connecting(_60409, _60407)))]]], (140 ^ _56127) ^ [_60812, _60814, _60816] : [-(before_on_line(_60816, _60814, _60812)), distinct_points(_60814, _60812), incident_point_and_line(_60814, _60816), incident_point_and_line(_60812, _60816), equally_directed_lines(_60816, line_connecting(_60814, _60812))], (158 ^ _56127) ^ [_61374, _61376, _61378, _61380] : [between_on_line(_61380, _61378, _61376, _61374), 163 ^ _56127 : [(164 ^ _56127) ^ [] : [-(before_on_line(_61380, _61378, _61376))], (166 ^ _56127) ^ [] : [-(before_on_line(_61380, _61376, _61374))]], 167 ^ _56127 : [(168 ^ _56127) ^ [] : [-(before_on_line(_61380, _61374, _61376))], (170 ^ _56127) ^ [] : [-(before_on_line(_61380, _61376, _61378))]]], (172 ^ _56127) ^ [_61816, _61818, _61820, _61822] : [-(between_on_line(_61822, _61820, _61818, _61816)), 173 ^ _56127 : [(174 ^ _56127) ^ [] : [before_on_line(_61822, _61820, _61818), before_on_line(_61822, _61818, _61816)], (180 ^ _56127) ^ [] : [before_on_line(_61822, _61816, _61818), before_on_line(_61822, _61818, _61820)]]], (188 ^ _56127) ^ [_62294] : [distinct_points(_62294, _62294)], (190 ^ _56127) ^ [_62415, _62417, _62419] : [distinct_points(_62419, _62417), -(distinct_points(_62419, _62415)), -(distinct_points(_62417, _62415))], (200 ^ _56127) ^ [_62695] : [distinct_lines(_62695, _62695)], (202 ^ _56127) ^ [_62816, _62818, _62820] : [distinct_lines(_62820, _62818), -(distinct_lines(_62820, _62816)), -(distinct_lines(_62818, _62816))], (212 ^ _56127) ^ [_63097] : [-(equally_directed_lines(_63097, _63097))], (214 ^ _56127) ^ [_63218, _63220, _63222] : [unequally_directed_lines(_63222, _63220), -(unequally_directed_lines(_63222, _63218)), -(unequally_directed_lines(_63220, _63218))], (224 ^ _56127) ^ [_63542, _63544, _63546] : [unequally_directed_lines(_63546, _63544), unequally_directed_lines(_63546, reverse_line(_63544)), 233 ^ _56127 : [(234 ^ _56127) ^ [] : [-(unequally_directed_lines(_63546, _63542))], (236 ^ _56127) ^ [] : [-(unequally_directed_lines(_63546, reverse_line(_63542)))]], 237 ^ _56127 : [(238 ^ _56127) ^ [] : [-(unequally_directed_lines(_63544, _63542))], (240 ^ _56127) ^ [] : [-(unequally_directed_lines(_63544, reverse_line(_63542)))]]], (242 ^ _56127) ^ [_64113, _64115] : [-(unequally_directed_lines(_64115, _64113)), -(unequally_directed_lines(_64115, reverse_line(_64113)))], (248 ^ _56127) ^ [_64328, _64330] : [unequally_directed_lines(_64330, _64328), unequally_directed_lines(_64330, reverse_line(_64328)), -(left_convergent_lines(_64330, _64328)), -(left_convergent_lines(_64330, reverse_line(_64328)))], (262 ^ _56127) ^ [_64731, _64733] : [left_apart_point(_64733, _64731)], (264 ^ _56127) ^ [_64776, _64778] : [left_apart_point(_64778, reverse_line(_64776))], (266 ^ _56127) ^ [_64893, _64895] : [left_convergent_lines(_64895, _64893)], (268 ^ _56127) ^ [_64938, _64940] : [left_convergent_lines(_64940, reverse_line(_64938))], (270 ^ _56127) ^ [_65051, _65053] : [-(line(line_connecting(_65053, _65051))), point(_65053), point(_65051), distinct_points(_65053, _65051)], (284 ^ _56127) ^ [_65439, _65441] : [-(point(intersection_point(_65441, _65439))), line(_65441), line(_65439), unequally_directed_lines(_65441, _65439), unequally_directed_lines(_65441, reverse_line(_65439))], (302 ^ _56127) ^ [_65920, _65922] : [-(line(parallel_through_point(_65922, _65920))), point(_65920), line(_65922)], (312 ^ _56127) ^ [_66205] : [line(_66205), -(line(reverse_line(_66205)))], (318 ^ _56127) ^ [_66409, _66411] : [distinct_points(_66411, _66409), 321 ^ _56127 : [(322 ^ _56127) ^ [] : [apart_point_and_line(_66411, line_connecting(_66411, _66409))], (324 ^ _56127) ^ [] : [apart_point_and_line(_66409, line_connecting(_66411, _66409))]]], (326 ^ _56127) ^ [_66708, _66710] : [333 ^ _56127 : [(334 ^ _56127) ^ [] : [apart_point_and_line(intersection_point(_66710, _66708), _66710)], (336 ^ _56127) ^ [] : [apart_point_and_line(intersection_point(_66710, _66708), _66708)]], unequally_directed_lines(_66710, _66708), unequally_directed_lines(_66710, reverse_line(_66708))], (338 ^ _56127) ^ [_67084, _67086] : [apart_point_and_line(_67086, parallel_through_point(_67084, _67086))], (340 ^ _56127) ^ [_67166] : [distinct_lines(_67166, reverse_line(_67166))], (342 ^ _56127) ^ [_67275, _67277] : [distinct_points(_67277, _67275), -(equally_directed_lines(line_connecting(_67277, _67275), reverse_line(line_connecting(_67275, _67277))))], (348 ^ _56127) ^ [_67486, _67488] : [-(equally_directed_lines(parallel_through_point(_67486, _67488), _67486))], (350 ^ _56127) ^ [_67626, _67628, _67630, _67632] : [distinct_points(_67632, _67630), distinct_lines(_67628, _67626), -(left_apart_point(_67632, _67628)), -(left_apart_point(_67630, _67628)), -(left_apart_point(_67632, _67626)), -(left_apart_point(_67630, _67626)), -(left_apart_point(_67632, reverse_line(_67628))), -(left_apart_point(_67630, reverse_line(_67628))), -(left_apart_point(_67632, reverse_line(_67626))), -(left_apart_point(_67630, reverse_line(_67626)))], (388 ^ _56127) ^ [_68663, _68665, _68667] : [distinct_points(_68667, _68665), left_apart_point(_68667, _68663), -(left_apart_point(_68665, _68663)), -(left_convergent_lines(line_connecting(_68667, _68665), _68663))], (402 ^ _56127) ^ [_69088, _69090, _69092] : [left_apart_point(_69092, _69088), -(distinct_points(_69092, _69090)), -(left_apart_point(_69090, _69088))], (426 ^ _56127) ^ [_69815, _69817, _69819] : [left_convergent_lines(_69819, _69817), -(unequally_directed_lines(_69817, _69815)), -(left_convergent_lines(_69819, _69815))], (412 ^ _56127) ^ [_69412, _69414, _69416] : [left_apart_point(_69416, _69414), unequally_directed_lines(_69414, _69412), -(distinct_lines(_69414, _69412)), -(left_apart_point(_69416, reverse_line(_69412)))]], input).
% 0.35/1.37  ncf('1',plain,[left_convergent_lines(437 ^ [], line_connecting(435 ^ [], 436 ^ []))],start(266 ^ 0,bind([[_64893, _64895], [line_connecting(435 ^ [], 436 ^ []), 437 ^ []]]))).
% 0.35/1.37  ncf('1.1',plain,[-(left_convergent_lines(437 ^ [], line_connecting(435 ^ [], 436 ^ [])))],extension(443 ^ 1)).
% 0.35/1.37  %-----------------------------------------------------
% 0.35/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------