%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO232+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n032.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 11:12:18 EDT 2023

% Result   : Theorem 0.21s 1.31s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem  : GEO232+3 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.09  % Command  : nanocop.sh %s %d
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 300
% 0.09/0.28  % DateTime : Fri May 19 04:09:35 EDT 2023
% 0.09/0.28  % CPUTime  : 
% 0.21/1.31  
% 0.21/1.31  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.21/1.31  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/1.31  %-----------------------------------------------------
% 0.21/1.31  ncf(matrix, plain, [(437 ^ _55409) ^ [] : [unequally_directed_opposite_lines(435 ^ [], 435 ^ [])], (2 ^ _55409) ^ [_55551, _55553] : [unequally_directed_opposite_lines(_55553, _55551), -(unequally_directed_lines(_55553, reverse_line(_55551)))], (8 ^ _55409) ^ [_55717, _55719] : [unequally_directed_lines(_55719, reverse_line(_55717)), -(unequally_directed_opposite_lines(_55719, _55717))], (14 ^ _55409) ^ [_55962, _55964] : [right_apart_point(_55964, _55962), -(left_apart_point(_55964, reverse_line(_55962)))], (20 ^ _55409) ^ [_56128, _56130] : [left_apart_point(_56130, reverse_line(_56128)), -(right_apart_point(_56130, _56128))], (26 ^ _55409) ^ [_56373, _56375] : [right_convergent_lines(_56375, _56373), -(left_convergent_lines(_56375, reverse_line(_56373)))], (32 ^ _55409) ^ [_56539, _56541] : [left_convergent_lines(_56541, reverse_line(_56539)), -(right_convergent_lines(_56541, _56539))], (38 ^ _55409) ^ [_56784, _56786] : [equally_directed_lines(_56786, _56784), unequally_directed_lines(_56786, _56784)], (44 ^ _55409) ^ [_56947, _56949] : [-(unequally_directed_lines(_56949, _56947)), -(equally_directed_lines(_56949, _56947))], (50 ^ _55409) ^ [_57191, _57193] : [equally_directed_opposite_lines(_57193, _57191), unequally_directed_opposite_lines(_57193, _57191)], (56 ^ _55409) ^ [_57354, _57356] : [-(unequally_directed_opposite_lines(_57356, _57354)), -(equally_directed_opposite_lines(_57356, _57354))], (72 ^ _55409) ^ [_57850, _57852] : [73 ^ _55409 : [(74 ^ _55409) ^ [] : [left_apart_point(_57852, _57850)], (76 ^ _55409) ^ [] : [right_apart_point(_57852, _57850)]], -(apart_point_and_line(_57852, _57850))], (62 ^ _55409) ^ [_57598, _57600] : [apart_point_and_line(_57600, _57598), -(left_apart_point(_57600, _57598)), -(right_apart_point(_57600, _57598))], (80 ^ _55409) ^ [_58165, _58167] : [convergent_lines(_58167, _58165), 83 ^ _55409 : [(84 ^ _55409) ^ [] : [-(unequally_directed_lines(_58167, _58165))], (86 ^ _55409) ^ [] : [-(unequally_directed_opposite_lines(_58167, _58165))]]], (88 ^ _55409) ^ [_58402, _58404] : [-(convergent_lines(_58404, _58402)), unequally_directed_lines(_58404, _58402), unequally_directed_opposite_lines(_58404, _58402)], (98 ^ _55409) ^ [_58746, _58748, _58750] : [divides_points(_58746, _58750, _58748), 103 ^ _55409 : [(104 ^ _55409) ^ [] : [-(left_apart_point(_58750, _58746))], (106 ^ _55409) ^ [] : [-(right_apart_point(_58748, _58746))]], 107 ^ _55409 : [(108 ^ _55409) ^ [] : [-(right_apart_point(_58750, _58746))], (110 ^ _55409) ^ [] : [-(left_apart_point(_58748, _58746))]]], (112 ^ _55409) ^ [_59164, _59166, _59168] : [-(divides_points(_59164, _59168, _59166)), 113 ^ _55409 : [(114 ^ _55409) ^ [] : [left_apart_point(_59168, _59164), right_apart_point(_59166, _59164)], (120 ^ _55409) ^ [] : [right_apart_point(_59168, _59164), left_apart_point(_59166, _59164)]]], (128 ^ _55409) ^ [_59689, _59691, _59693] : [before_on_line(_59693, _59691, _59689), 131 ^ _55409 : [(132 ^ _55409) ^ [] : [-(distinct_points(_59691, _59689))], (134 ^ _55409) ^ [] : [-(incident_point_and_line(_59691, _59693))], (136 ^ _55409) ^ [] : [-(incident_point_and_line(_59689, _59693))], (138 ^ _55409) ^ [] : [-(equally_directed_lines(_59693, line_connecting(_59691, _59689)))]]], (140 ^ _55409) ^ [_60094, _60096, _60098] : [-(before_on_line(_60098, _60096, _60094)), distinct_points(_60096, _60094), incident_point_and_line(_60096, _60098), incident_point_and_line(_60094, _60098), equally_directed_lines(_60098, line_connecting(_60096, _60094))], (158 ^ _55409) ^ [_60656, _60658, _60660, _60662] : [between_on_line(_60662, _60660, _60658, _60656), 163 ^ _55409 : [(164 ^ _55409) ^ [] : [-(before_on_line(_60662, _60660, _60658))], (166 ^ _55409) ^ [] : [-(before_on_line(_60662, _60658, _60656))]], 167 ^ _55409 : [(168 ^ _55409) ^ [] : [-(before_on_line(_60662, _60656, _60658))], (170 ^ _55409) ^ [] : [-(before_on_line(_60662, _60658, _60660))]]], (172 ^ _55409) ^ [_61098, _61100, _61102, _61104] : [-(between_on_line(_61104, _61102, _61100, _61098)), 173 ^ _55409 : [(174 ^ _55409) ^ [] : [before_on_line(_61104, _61102, _61100), before_on_line(_61104, _61100, _61098)], (180 ^ _55409) ^ [] : [before_on_line(_61104, _61098, _61100), before_on_line(_61104, _61100, _61102)]]], (188 ^ _55409) ^ [_61576] : [distinct_points(_61576, _61576)], (190 ^ _55409) ^ [_61697, _61699, _61701] : [distinct_points(_61701, _61699), -(distinct_points(_61701, _61697)), -(distinct_points(_61699, _61697))], (200 ^ _55409) ^ [_61977] : [distinct_lines(_61977, _61977)], (202 ^ _55409) ^ [_62098, _62100, _62102] : [distinct_lines(_62102, _62100), -(distinct_lines(_62102, _62098)), -(distinct_lines(_62100, _62098))], (212 ^ _55409) ^ [_62379] : [-(equally_directed_lines(_62379, _62379))], (214 ^ _55409) ^ [_62500, _62502, _62504] : [unequally_directed_lines(_62504, _62502), -(unequally_directed_lines(_62504, _62500)), -(unequally_directed_lines(_62502, _62500))], (224 ^ _55409) ^ [_62824, _62826, _62828] : [unequally_directed_lines(_62828, _62826), unequally_directed_lines(_62828, reverse_line(_62826)), 233 ^ _55409 : [(234 ^ _55409) ^ [] : [-(unequally_directed_lines(_62828, _62824))], (236 ^ _55409) ^ [] : [-(unequally_directed_lines(_62828, reverse_line(_62824)))]], 237 ^ _55409 : [(238 ^ _55409) ^ [] : [-(unequally_directed_lines(_62826, _62824))], (240 ^ _55409) ^ [] : [-(unequally_directed_lines(_62826, reverse_line(_62824)))]]], (242 ^ _55409) ^ [_63395, _63397] : [-(unequally_directed_lines(_63397, _63395)), -(unequally_directed_lines(_63397, reverse_line(_63395)))], (248 ^ _55409) ^ [_63610, _63612] : [unequally_directed_lines(_63612, _63610), unequally_directed_lines(_63612, reverse_line(_63610)), -(left_convergent_lines(_63612, _63610)), -(left_convergent_lines(_63612, reverse_line(_63610)))], (262 ^ _55409) ^ [_64013, _64015] : [left_apart_point(_64015, _64013)], (264 ^ _55409) ^ [_64058, _64060] : [left_apart_point(_64060, reverse_line(_64058))], (266 ^ _55409) ^ [_64175, _64177] : [left_convergent_lines(_64177, _64175)], (268 ^ _55409) ^ [_64220, _64222] : [left_convergent_lines(_64222, reverse_line(_64220))], (270 ^ _55409) ^ [_64333, _64335] : [-(line(line_connecting(_64335, _64333))), point(_64335), point(_64333), distinct_points(_64335, _64333)], (284 ^ _55409) ^ [_64721, _64723] : [-(point(intersection_point(_64723, _64721))), line(_64723), line(_64721), unequally_directed_lines(_64723, _64721), unequally_directed_lines(_64723, reverse_line(_64721))], (302 ^ _55409) ^ [_65202, _65204] : [-(line(parallel_through_point(_65204, _65202))), point(_65202), line(_65204)], (312 ^ _55409) ^ [_65487] : [line(_65487), -(line(reverse_line(_65487)))], (318 ^ _55409) ^ [_65691, _65693] : [distinct_points(_65693, _65691), 321 ^ _55409 : [(322 ^ _55409) ^ [] : [apart_point_and_line(_65693, line_connecting(_65693, _65691))], (324 ^ _55409) ^ [] : [apart_point_and_line(_65691, line_connecting(_65693, _65691))]]], (326 ^ _55409) ^ [_65990, _65992] : [333 ^ _55409 : [(334 ^ _55409) ^ [] : [apart_point_and_line(intersection_point(_65992, _65990), _65992)], (336 ^ _55409) ^ [] : [apart_point_and_line(intersection_point(_65992, _65990), _65990)]], unequally_directed_lines(_65992, _65990), unequally_directed_lines(_65992, reverse_line(_65990))], (338 ^ _55409) ^ [_66366, _66368] : [apart_point_and_line(_66368, parallel_through_point(_66366, _66368))], (340 ^ _55409) ^ [_66448] : [distinct_lines(_66448, reverse_line(_66448))], (342 ^ _55409) ^ [_66557, _66559] : [distinct_points(_66559, _66557), -(equally_directed_lines(line_connecting(_66559, _66557), reverse_line(line_connecting(_66557, _66559))))], (348 ^ _55409) ^ [_66768, _66770] : [-(equally_directed_lines(parallel_through_point(_66768, _66770), _66768))], (350 ^ _55409) ^ [_66908, _66910, _66912, _66914] : [distinct_points(_66914, _66912), distinct_lines(_66910, _66908), -(left_apart_point(_66914, _66910)), -(left_apart_point(_66912, _66910)), -(left_apart_point(_66914, _66908)), -(left_apart_point(_66912, _66908)), -(left_apart_point(_66914, reverse_line(_66910))), -(left_apart_point(_66912, reverse_line(_66910))), -(left_apart_point(_66914, reverse_line(_66908))), -(left_apart_point(_66912, reverse_line(_66908)))], (388 ^ _55409) ^ [_67945, _67947, _67949] : [distinct_points(_67949, _67947), left_apart_point(_67949, _67945), -(left_apart_point(_67947, _67945)), -(left_convergent_lines(line_connecting(_67949, _67947), _67945))], (402 ^ _55409) ^ [_68370, _68372, _68374] : [left_apart_point(_68374, _68370), -(distinct_points(_68374, _68372)), -(left_apart_point(_68372, _68370))], (426 ^ _55409) ^ [_69097, _69099, _69101] : [left_convergent_lines(_69101, _69099), -(unequally_directed_lines(_69099, _69097)), -(left_convergent_lines(_69101, _69097))], (412 ^ _55409) ^ [_68694, _68696, _68698] : [left_apart_point(_68698, _68696), unequally_directed_lines(_68696, _68694), -(distinct_lines(_68696, _68694)), -(left_apart_point(_68698, reverse_line(_68694)))]], input).
% 0.21/1.31  ncf('1',plain,[equally_directed_lines(435 ^ [], reverse_line(435 ^ [])), unequally_directed_lines(435 ^ [], reverse_line(435 ^ []))],start(38 ^ 0,bind([[_56784, _56786], [reverse_line(435 ^ []), 435 ^ []]]))).
% 0.21/1.31  ncf('1.1',plain,[-(equally_directed_lines(435 ^ [], reverse_line(435 ^ []))), -(unequally_directed_lines(435 ^ [], reverse_line(435 ^ [])))],extension(44 ^ 1,bind([[_56947, _56949], [reverse_line(435 ^ []), 435 ^ []]]))).
% 0.21/1.31  ncf('1.1.1',plain,[unequally_directed_lines(435 ^ [], reverse_line(435 ^ [])), -(unequally_directed_opposite_lines(435 ^ [], 435 ^ []))],extension(8 ^ 2,bind([[_55717, _55719], [435 ^ [], 435 ^ []]]))).
% 0.21/1.31  ncf('1.1.1.1',plain,[unequally_directed_opposite_lines(435 ^ [], 435 ^ [])],extension(437 ^ 3)).
% 0.21/1.31  ncf('1.2',plain,[-(unequally_directed_lines(435 ^ [], reverse_line(435 ^ []))), unequally_directed_lines(435 ^ [], 435 ^ []), -(unequally_directed_lines(435 ^ [], reverse_line(435 ^ [])))],extension(214 ^ 1,bind([[_62500, _62502, _62504], [reverse_line(435 ^ []), 435 ^ [], 435 ^ []]]))).
% 0.21/1.31  ncf('1.2.1',plain,[-(unequally_directed_lines(435 ^ [], 435 ^ [])), -(unequally_directed_lines(435 ^ [], reverse_line(435 ^ [])))],extension(242 ^ 2,bind([[_63395, _63397], [435 ^ [], 435 ^ []]]))).
% 0.21/1.31  ncf('1.2.1.1',plain,[unequally_directed_lines(435 ^ [], reverse_line(435 ^ []))],reduction('1')).
% 0.21/1.31  ncf('1.2.2',plain,[unequally_directed_lines(435 ^ [], reverse_line(435 ^ []))],reduction('1')).
% 0.21/1.31  %-----------------------------------------------------
% 0.21/1.31  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------