TSTP Solution File: GEO246+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO246+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n012.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 0.32s 1.39s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO246+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n012.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri May 19 04:13:31 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.32/1.39  
% 0.32/1.39  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.32/1.39  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.39  %-----------------------------------------------------
% 0.32/1.39  ncf(matrix, plain, [(439 ^ _56023) ^ [] : [-(distinct_points(435 ^ [], 436 ^ []))], (441 ^ _56023) ^ [] : [-(right_apart_point(437 ^ [], line_connecting(435 ^ [], 436 ^ [])))], (443 ^ _56023) ^ [] : [left_apart_point(436 ^ [], line_connecting(435 ^ [], 437 ^ []))], (2 ^ _56023) ^ [_56165, _56167] : [unequally_directed_opposite_lines(_56167, _56165), -(unequally_directed_lines(_56167, reverse_line(_56165)))], (8 ^ _56023) ^ [_56331, _56333] : [unequally_directed_lines(_56333, reverse_line(_56331)), -(unequally_directed_opposite_lines(_56333, _56331))], (14 ^ _56023) ^ [_56576, _56578] : [right_apart_point(_56578, _56576), -(left_apart_point(_56578, reverse_line(_56576)))], (20 ^ _56023) ^ [_56742, _56744] : [left_apart_point(_56744, reverse_line(_56742)), -(right_apart_point(_56744, _56742))], (26 ^ _56023) ^ [_56987, _56989] : [right_convergent_lines(_56989, _56987), -(left_convergent_lines(_56989, reverse_line(_56987)))], (32 ^ _56023) ^ [_57153, _57155] : [left_convergent_lines(_57155, reverse_line(_57153)), -(right_convergent_lines(_57155, _57153))], (38 ^ _56023) ^ [_57398, _57400] : [equally_directed_lines(_57400, _57398), unequally_directed_lines(_57400, _57398)], (44 ^ _56023) ^ [_57561, _57563] : [-(unequally_directed_lines(_57563, _57561)), -(equally_directed_lines(_57563, _57561))], (50 ^ _56023) ^ [_57805, _57807] : [equally_directed_opposite_lines(_57807, _57805), unequally_directed_opposite_lines(_57807, _57805)], (56 ^ _56023) ^ [_57968, _57970] : [-(unequally_directed_opposite_lines(_57970, _57968)), -(equally_directed_opposite_lines(_57970, _57968))], (72 ^ _56023) ^ [_58464, _58466] : [73 ^ _56023 : [(74 ^ _56023) ^ [] : [left_apart_point(_58466, _58464)], (76 ^ _56023) ^ [] : [right_apart_point(_58466, _58464)]], -(apart_point_and_line(_58466, _58464))], (62 ^ _56023) ^ [_58212, _58214] : [apart_point_and_line(_58214, _58212), -(left_apart_point(_58214, _58212)), -(right_apart_point(_58214, _58212))], (80 ^ _56023) ^ [_58779, _58781] : [convergent_lines(_58781, _58779), 83 ^ _56023 : [(84 ^ _56023) ^ [] : [-(unequally_directed_lines(_58781, _58779))], (86 ^ _56023) ^ [] : [-(unequally_directed_opposite_lines(_58781, _58779))]]], (88 ^ _56023) ^ [_59016, _59018] : [-(convergent_lines(_59018, _59016)), unequally_directed_lines(_59018, _59016), unequally_directed_opposite_lines(_59018, _59016)], (98 ^ _56023) ^ [_59360, _59362, _59364] : [divides_points(_59360, _59364, _59362), 103 ^ _56023 : [(104 ^ _56023) ^ [] : [-(left_apart_point(_59364, _59360))], (106 ^ _56023) ^ [] : [-(right_apart_point(_59362, _59360))]], 107 ^ _56023 : [(108 ^ _56023) ^ [] : [-(right_apart_point(_59364, _59360))], (110 ^ _56023) ^ [] : [-(left_apart_point(_59362, _59360))]]], (112 ^ _56023) ^ [_59778, _59780, _59782] : [-(divides_points(_59778, _59782, _59780)), 113 ^ _56023 : [(114 ^ _56023) ^ [] : [left_apart_point(_59782, _59778), right_apart_point(_59780, _59778)], (120 ^ _56023) ^ [] : [right_apart_point(_59782, _59778), left_apart_point(_59780, _59778)]]], (128 ^ _56023) ^ [_60303, _60305, _60307] : [before_on_line(_60307, _60305, _60303), 131 ^ _56023 : [(132 ^ _56023) ^ [] : [-(distinct_points(_60305, _60303))], (134 ^ _56023) ^ [] : [-(incident_point_and_line(_60305, _60307))], (136 ^ _56023) ^ [] : [-(incident_point_and_line(_60303, _60307))], (138 ^ _56023) ^ [] : [-(equally_directed_lines(_60307, line_connecting(_60305, _60303)))]]], (140 ^ _56023) ^ [_60708, _60710, _60712] : [-(before_on_line(_60712, _60710, _60708)), distinct_points(_60710, _60708), incident_point_and_line(_60710, _60712), incident_point_and_line(_60708, _60712), equally_directed_lines(_60712, line_connecting(_60710, _60708))], (158 ^ _56023) ^ [_61270, _61272, _61274, _61276] : [between_on_line(_61276, _61274, _61272, _61270), 163 ^ _56023 : [(164 ^ _56023) ^ [] : [-(before_on_line(_61276, _61274, _61272))], (166 ^ _56023) ^ [] : [-(before_on_line(_61276, _61272, _61270))]], 167 ^ _56023 : [(168 ^ _56023) ^ [] : [-(before_on_line(_61276, _61270, _61272))], (170 ^ _56023) ^ [] : [-(before_on_line(_61276, _61272, _61274))]]], (172 ^ _56023) ^ [_61712, _61714, _61716, _61718] : [-(between_on_line(_61718, _61716, _61714, _61712)), 173 ^ _56023 : [(174 ^ _56023) ^ [] : [before_on_line(_61718, _61716, _61714), before_on_line(_61718, _61714, _61712)], (180 ^ _56023) ^ [] : [before_on_line(_61718, _61712, _61714), before_on_line(_61718, _61714, _61716)]]], (188 ^ _56023) ^ [_62190] : [distinct_points(_62190, _62190)], (190 ^ _56023) ^ [_62311, _62313, _62315] : [distinct_points(_62315, _62313), -(distinct_points(_62315, _62311)), -(distinct_points(_62313, _62311))], (200 ^ _56023) ^ [_62591] : [distinct_lines(_62591, _62591)], (202 ^ _56023) ^ [_62712, _62714, _62716] : [distinct_lines(_62716, _62714), -(distinct_lines(_62716, _62712)), -(distinct_lines(_62714, _62712))], (212 ^ _56023) ^ [_62993] : [-(equally_directed_lines(_62993, _62993))], (214 ^ _56023) ^ [_63114, _63116, _63118] : [unequally_directed_lines(_63118, _63116), -(unequally_directed_lines(_63118, _63114)), -(unequally_directed_lines(_63116, _63114))], (224 ^ _56023) ^ [_63438, _63440, _63442] : [unequally_directed_lines(_63442, _63440), unequally_directed_lines(_63442, reverse_line(_63440)), 233 ^ _56023 : [(234 ^ _56023) ^ [] : [-(unequally_directed_lines(_63442, _63438))], (236 ^ _56023) ^ [] : [-(unequally_directed_lines(_63442, reverse_line(_63438)))]], 237 ^ _56023 : [(238 ^ _56023) ^ [] : [-(unequally_directed_lines(_63440, _63438))], (240 ^ _56023) ^ [] : [-(unequally_directed_lines(_63440, reverse_line(_63438)))]]], (242 ^ _56023) ^ [_64009, _64011] : [-(unequally_directed_lines(_64011, _64009)), -(unequally_directed_lines(_64011, reverse_line(_64009)))], (248 ^ _56023) ^ [_64224, _64226] : [unequally_directed_lines(_64226, _64224), unequally_directed_lines(_64226, reverse_line(_64224)), -(left_convergent_lines(_64226, _64224)), -(left_convergent_lines(_64226, reverse_line(_64224)))], (262 ^ _56023) ^ [_64627, _64629] : [left_apart_point(_64629, _64627)], (264 ^ _56023) ^ [_64672, _64674] : [left_apart_point(_64674, reverse_line(_64672))], (266 ^ _56023) ^ [_64789, _64791] : [left_convergent_lines(_64791, _64789)], (268 ^ _56023) ^ [_64834, _64836] : [left_convergent_lines(_64836, reverse_line(_64834))], (270 ^ _56023) ^ [_64947, _64949] : [-(line(line_connecting(_64949, _64947))), point(_64949), point(_64947), distinct_points(_64949, _64947)], (284 ^ _56023) ^ [_65335, _65337] : [-(point(intersection_point(_65337, _65335))), line(_65337), line(_65335), unequally_directed_lines(_65337, _65335), unequally_directed_lines(_65337, reverse_line(_65335))], (302 ^ _56023) ^ [_65816, _65818] : [-(line(parallel_through_point(_65818, _65816))), point(_65816), line(_65818)], (312 ^ _56023) ^ [_66101] : [line(_66101), -(line(reverse_line(_66101)))], (318 ^ _56023) ^ [_66305, _66307] : [distinct_points(_66307, _66305), 321 ^ _56023 : [(322 ^ _56023) ^ [] : [apart_point_and_line(_66307, line_connecting(_66307, _66305))], (324 ^ _56023) ^ [] : [apart_point_and_line(_66305, line_connecting(_66307, _66305))]]], (326 ^ _56023) ^ [_66604, _66606] : [333 ^ _56023 : [(334 ^ _56023) ^ [] : [apart_point_and_line(intersection_point(_66606, _66604), _66606)], (336 ^ _56023) ^ [] : [apart_point_and_line(intersection_point(_66606, _66604), _66604)]], unequally_directed_lines(_66606, _66604), unequally_directed_lines(_66606, reverse_line(_66604))], (338 ^ _56023) ^ [_66980, _66982] : [apart_point_and_line(_66982, parallel_through_point(_66980, _66982))], (340 ^ _56023) ^ [_67062] : [distinct_lines(_67062, reverse_line(_67062))], (342 ^ _56023) ^ [_67171, _67173] : [distinct_points(_67173, _67171), -(equally_directed_lines(line_connecting(_67173, _67171), reverse_line(line_connecting(_67171, _67173))))], (348 ^ _56023) ^ [_67382, _67384] : [-(equally_directed_lines(parallel_through_point(_67382, _67384), _67382))], (350 ^ _56023) ^ [_67522, _67524, _67526, _67528] : [distinct_points(_67528, _67526), distinct_lines(_67524, _67522), -(left_apart_point(_67528, _67524)), -(left_apart_point(_67526, _67524)), -(left_apart_point(_67528, _67522)), -(left_apart_point(_67526, _67522)), -(left_apart_point(_67528, reverse_line(_67524))), -(left_apart_point(_67526, reverse_line(_67524))), -(left_apart_point(_67528, reverse_line(_67522))), -(left_apart_point(_67526, reverse_line(_67522)))], (388 ^ _56023) ^ [_68559, _68561, _68563] : [distinct_points(_68563, _68561), left_apart_point(_68563, _68559), -(left_apart_point(_68561, _68559)), -(left_convergent_lines(line_connecting(_68563, _68561), _68559))], (402 ^ _56023) ^ [_68984, _68986, _68988] : [left_apart_point(_68988, _68984), -(distinct_points(_68988, _68986)), -(left_apart_point(_68986, _68984))], (426 ^ _56023) ^ [_69711, _69713, _69715] : [left_convergent_lines(_69715, _69713), -(unequally_directed_lines(_69713, _69711)), -(left_convergent_lines(_69715, _69711))], (412 ^ _56023) ^ [_69308, _69310, _69312] : [left_apart_point(_69312, _69310), unequally_directed_lines(_69310, _69308), -(distinct_lines(_69310, _69308)), -(left_apart_point(_69312, reverse_line(_69308)))]], input).
% 0.32/1.39  ncf('1',plain,[left_apart_point(437 ^ [], reverse_line(line_connecting(435 ^ [], 436 ^ [])))],start(262 ^ 0,bind([[_64627, _64629], [reverse_line(line_connecting(435 ^ [], 436 ^ [])), 437 ^ []]]))).
% 0.32/1.39  ncf('1.1',plain,[-(left_apart_point(437 ^ [], reverse_line(line_connecting(435 ^ [], 436 ^ [])))), right_apart_point(437 ^ [], line_connecting(435 ^ [], 436 ^ []))],extension(14 ^ 1,bind([[_56576, _56578], [line_connecting(435 ^ [], 436 ^ []), 437 ^ []]]))).
% 0.32/1.39  ncf('1.1.1',plain,[-(right_apart_point(437 ^ [], line_connecting(435 ^ [], 436 ^ [])))],extension(441 ^ 2)).
% 0.32/1.39  %-----------------------------------------------------
% 0.32/1.39  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------