TSTP Solution File: GEO265+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO265+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n023.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 11:12:23 EDT 2023

% Result   : Theorem 0.34s 1.39s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO265+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Fri May 19 04:26:29 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.34/1.39  
% 0.34/1.39  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.34/1.39  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.39  %-----------------------------------------------------
% 0.34/1.39  ncf(matrix, plain, [(438 ^ _55575) ^ [] : [-(equally_directed_lines(435 ^ [], reverse_line(436 ^ [])))], (440 ^ _55575) ^ [] : [equally_directed_opposite_lines(435 ^ [], 436 ^ [])], (2 ^ _55575) ^ [_55717, _55719] : [unequally_directed_opposite_lines(_55719, _55717), -(unequally_directed_lines(_55719, reverse_line(_55717)))], (8 ^ _55575) ^ [_55883, _55885] : [unequally_directed_lines(_55885, reverse_line(_55883)), -(unequally_directed_opposite_lines(_55885, _55883))], (14 ^ _55575) ^ [_56128, _56130] : [right_apart_point(_56130, _56128), -(left_apart_point(_56130, reverse_line(_56128)))], (20 ^ _55575) ^ [_56294, _56296] : [left_apart_point(_56296, reverse_line(_56294)), -(right_apart_point(_56296, _56294))], (26 ^ _55575) ^ [_56539, _56541] : [right_convergent_lines(_56541, _56539), -(left_convergent_lines(_56541, reverse_line(_56539)))], (32 ^ _55575) ^ [_56705, _56707] : [left_convergent_lines(_56707, reverse_line(_56705)), -(right_convergent_lines(_56707, _56705))], (38 ^ _55575) ^ [_56950, _56952] : [equally_directed_lines(_56952, _56950), unequally_directed_lines(_56952, _56950)], (44 ^ _55575) ^ [_57113, _57115] : [-(unequally_directed_lines(_57115, _57113)), -(equally_directed_lines(_57115, _57113))], (50 ^ _55575) ^ [_57357, _57359] : [equally_directed_opposite_lines(_57359, _57357), unequally_directed_opposite_lines(_57359, _57357)], (56 ^ _55575) ^ [_57520, _57522] : [-(unequally_directed_opposite_lines(_57522, _57520)), -(equally_directed_opposite_lines(_57522, _57520))], (72 ^ _55575) ^ [_58016, _58018] : [73 ^ _55575 : [(74 ^ _55575) ^ [] : [left_apart_point(_58018, _58016)], (76 ^ _55575) ^ [] : [right_apart_point(_58018, _58016)]], -(apart_point_and_line(_58018, _58016))], (62 ^ _55575) ^ [_57764, _57766] : [apart_point_and_line(_57766, _57764), -(left_apart_point(_57766, _57764)), -(right_apart_point(_57766, _57764))], (80 ^ _55575) ^ [_58331, _58333] : [convergent_lines(_58333, _58331), 83 ^ _55575 : [(84 ^ _55575) ^ [] : [-(unequally_directed_lines(_58333, _58331))], (86 ^ _55575) ^ [] : [-(unequally_directed_opposite_lines(_58333, _58331))]]], (88 ^ _55575) ^ [_58568, _58570] : [-(convergent_lines(_58570, _58568)), unequally_directed_lines(_58570, _58568), unequally_directed_opposite_lines(_58570, _58568)], (98 ^ _55575) ^ [_58912, _58914, _58916] : [divides_points(_58912, _58916, _58914), 103 ^ _55575 : [(104 ^ _55575) ^ [] : [-(left_apart_point(_58916, _58912))], (106 ^ _55575) ^ [] : [-(right_apart_point(_58914, _58912))]], 107 ^ _55575 : [(108 ^ _55575) ^ [] : [-(right_apart_point(_58916, _58912))], (110 ^ _55575) ^ [] : [-(left_apart_point(_58914, _58912))]]], (112 ^ _55575) ^ [_59330, _59332, _59334] : [-(divides_points(_59330, _59334, _59332)), 113 ^ _55575 : [(114 ^ _55575) ^ [] : [left_apart_point(_59334, _59330), right_apart_point(_59332, _59330)], (120 ^ _55575) ^ [] : [right_apart_point(_59334, _59330), left_apart_point(_59332, _59330)]]], (128 ^ _55575) ^ [_59855, _59857, _59859] : [before_on_line(_59859, _59857, _59855), 131 ^ _55575 : [(132 ^ _55575) ^ [] : [-(distinct_points(_59857, _59855))], (134 ^ _55575) ^ [] : [-(incident_point_and_line(_59857, _59859))], (136 ^ _55575) ^ [] : [-(incident_point_and_line(_59855, _59859))], (138 ^ _55575) ^ [] : [-(equally_directed_lines(_59859, line_connecting(_59857, _59855)))]]], (140 ^ _55575) ^ [_60260, _60262, _60264] : [-(before_on_line(_60264, _60262, _60260)), distinct_points(_60262, _60260), incident_point_and_line(_60262, _60264), incident_point_and_line(_60260, _60264), equally_directed_lines(_60264, line_connecting(_60262, _60260))], (158 ^ _55575) ^ [_60822, _60824, _60826, _60828] : [between_on_line(_60828, _60826, _60824, _60822), 163 ^ _55575 : [(164 ^ _55575) ^ [] : [-(before_on_line(_60828, _60826, _60824))], (166 ^ _55575) ^ [] : [-(before_on_line(_60828, _60824, _60822))]], 167 ^ _55575 : [(168 ^ _55575) ^ [] : [-(before_on_line(_60828, _60822, _60824))], (170 ^ _55575) ^ [] : [-(before_on_line(_60828, _60824, _60826))]]], (172 ^ _55575) ^ [_61264, _61266, _61268, _61270] : [-(between_on_line(_61270, _61268, _61266, _61264)), 173 ^ _55575 : [(174 ^ _55575) ^ [] : [before_on_line(_61270, _61268, _61266), before_on_line(_61270, _61266, _61264)], (180 ^ _55575) ^ [] : [before_on_line(_61270, _61264, _61266), before_on_line(_61270, _61266, _61268)]]], (188 ^ _55575) ^ [_61742] : [distinct_points(_61742, _61742)], (190 ^ _55575) ^ [_61863, _61865, _61867] : [distinct_points(_61867, _61865), -(distinct_points(_61867, _61863)), -(distinct_points(_61865, _61863))], (200 ^ _55575) ^ [_62143] : [distinct_lines(_62143, _62143)], (202 ^ _55575) ^ [_62264, _62266, _62268] : [distinct_lines(_62268, _62266), -(distinct_lines(_62268, _62264)), -(distinct_lines(_62266, _62264))], (212 ^ _55575) ^ [_62545] : [-(equally_directed_lines(_62545, _62545))], (214 ^ _55575) ^ [_62666, _62668, _62670] : [unequally_directed_lines(_62670, _62668), -(unequally_directed_lines(_62670, _62666)), -(unequally_directed_lines(_62668, _62666))], (224 ^ _55575) ^ [_62990, _62992, _62994] : [unequally_directed_lines(_62994, _62992), unequally_directed_lines(_62994, reverse_line(_62992)), 233 ^ _55575 : [(234 ^ _55575) ^ [] : [-(unequally_directed_lines(_62994, _62990))], (236 ^ _55575) ^ [] : [-(unequally_directed_lines(_62994, reverse_line(_62990)))]], 237 ^ _55575 : [(238 ^ _55575) ^ [] : [-(unequally_directed_lines(_62992, _62990))], (240 ^ _55575) ^ [] : [-(unequally_directed_lines(_62992, reverse_line(_62990)))]]], (242 ^ _55575) ^ [_63561, _63563] : [-(unequally_directed_lines(_63563, _63561)), -(unequally_directed_lines(_63563, reverse_line(_63561)))], (248 ^ _55575) ^ [_63776, _63778] : [unequally_directed_lines(_63778, _63776), unequally_directed_lines(_63778, reverse_line(_63776)), -(left_convergent_lines(_63778, _63776)), -(left_convergent_lines(_63778, reverse_line(_63776)))], (262 ^ _55575) ^ [_64179, _64181] : [left_apart_point(_64181, _64179)], (264 ^ _55575) ^ [_64224, _64226] : [left_apart_point(_64226, reverse_line(_64224))], (266 ^ _55575) ^ [_64341, _64343] : [left_convergent_lines(_64343, _64341)], (268 ^ _55575) ^ [_64386, _64388] : [left_convergent_lines(_64388, reverse_line(_64386))], (270 ^ _55575) ^ [_64499, _64501] : [-(line(line_connecting(_64501, _64499))), point(_64501), point(_64499), distinct_points(_64501, _64499)], (284 ^ _55575) ^ [_64887, _64889] : [-(point(intersection_point(_64889, _64887))), line(_64889), line(_64887), unequally_directed_lines(_64889, _64887), unequally_directed_lines(_64889, reverse_line(_64887))], (302 ^ _55575) ^ [_65368, _65370] : [-(line(parallel_through_point(_65370, _65368))), point(_65368), line(_65370)], (312 ^ _55575) ^ [_65653] : [line(_65653), -(line(reverse_line(_65653)))], (318 ^ _55575) ^ [_65857, _65859] : [distinct_points(_65859, _65857), 321 ^ _55575 : [(322 ^ _55575) ^ [] : [apart_point_and_line(_65859, line_connecting(_65859, _65857))], (324 ^ _55575) ^ [] : [apart_point_and_line(_65857, line_connecting(_65859, _65857))]]], (326 ^ _55575) ^ [_66156, _66158] : [333 ^ _55575 : [(334 ^ _55575) ^ [] : [apart_point_and_line(intersection_point(_66158, _66156), _66158)], (336 ^ _55575) ^ [] : [apart_point_and_line(intersection_point(_66158, _66156), _66156)]], unequally_directed_lines(_66158, _66156), unequally_directed_lines(_66158, reverse_line(_66156))], (338 ^ _55575) ^ [_66532, _66534] : [apart_point_and_line(_66534, parallel_through_point(_66532, _66534))], (340 ^ _55575) ^ [_66614] : [distinct_lines(_66614, reverse_line(_66614))], (342 ^ _55575) ^ [_66723, _66725] : [distinct_points(_66725, _66723), -(equally_directed_lines(line_connecting(_66725, _66723), reverse_line(line_connecting(_66723, _66725))))], (348 ^ _55575) ^ [_66934, _66936] : [-(equally_directed_lines(parallel_through_point(_66934, _66936), _66934))], (350 ^ _55575) ^ [_67074, _67076, _67078, _67080] : [distinct_points(_67080, _67078), distinct_lines(_67076, _67074), -(left_apart_point(_67080, _67076)), -(left_apart_point(_67078, _67076)), -(left_apart_point(_67080, _67074)), -(left_apart_point(_67078, _67074)), -(left_apart_point(_67080, reverse_line(_67076))), -(left_apart_point(_67078, reverse_line(_67076))), -(left_apart_point(_67080, reverse_line(_67074))), -(left_apart_point(_67078, reverse_line(_67074)))], (388 ^ _55575) ^ [_68111, _68113, _68115] : [distinct_points(_68115, _68113), left_apart_point(_68115, _68111), -(left_apart_point(_68113, _68111)), -(left_convergent_lines(line_connecting(_68115, _68113), _68111))], (402 ^ _55575) ^ [_68536, _68538, _68540] : [left_apart_point(_68540, _68536), -(distinct_points(_68540, _68538)), -(left_apart_point(_68538, _68536))], (426 ^ _55575) ^ [_69263, _69265, _69267] : [left_convergent_lines(_69267, _69265), -(unequally_directed_lines(_69265, _69263)), -(left_convergent_lines(_69267, _69263))], (412 ^ _55575) ^ [_68860, _68862, _68864] : [left_apart_point(_68864, _68862), unequally_directed_lines(_68862, _68860), -(distinct_lines(_68862, _68860)), -(left_apart_point(_68864, reverse_line(_68860)))]], input).
% 0.34/1.39  ncf('1',plain,[equally_directed_lines(435 ^ [], reverse_line(436 ^ [])), unequally_directed_lines(435 ^ [], reverse_line(436 ^ []))],start(38 ^ 0,bind([[_56950, _56952], [reverse_line(436 ^ []), 435 ^ []]]))).
% 0.34/1.39  ncf('1.1',plain,[-(equally_directed_lines(435 ^ [], reverse_line(436 ^ [])))],extension(438 ^ 1)).
% 0.34/1.39  ncf('1.2',plain,[-(unequally_directed_lines(435 ^ [], reverse_line(436 ^ []))), unequally_directed_opposite_lines(435 ^ [], 436 ^ [])],extension(2 ^ 1,bind([[_55717, _55719], [436 ^ [], 435 ^ []]]))).
% 0.34/1.39  ncf('1.2.1',plain,[-(unequally_directed_opposite_lines(435 ^ [], 436 ^ [])), -(equally_directed_opposite_lines(435 ^ [], 436 ^ []))],extension(56 ^ 2,bind([[_57520, _57522], [436 ^ [], 435 ^ []]]))).
% 0.34/1.39  ncf('1.2.1.1',plain,[equally_directed_opposite_lines(435 ^ [], 436 ^ [])],extension(440 ^ 3)).
% 0.34/1.39  %-----------------------------------------------------
% 0.34/1.39  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------