%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO258+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n031.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 11:12:22 EDT 2023

% Result   : Theorem 0.48s 1.34s
% Output   : Proof 0.48s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem  : GEO258+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.05/0.10  % Command  : nanocop.sh %s %d
% 0.10/0.31  % Computer : n031.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Fri May 19 04:44:25 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.48/1.34  
% 0.48/1.34  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.48/1.34  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/1.34  %-----------------------------------------------------
% 0.48/1.34  ncf(matrix, plain, [(396 ^ _56583) ^ [] : [-(between_on_line(391 ^ [], 392 ^ [], 393 ^ [], 394 ^ []))], (398 ^ _56583) ^ [] : [between_on_line(391 ^ [], 394 ^ [], 393 ^ [], 392 ^ [])], (12 ^ _56583) ^ [_56981, _56983] : [13 ^ _56583 : [(14 ^ _56583) ^ [] : [left_apart_point(_56983, _56981)], (16 ^ _56583) ^ [] : [left_apart_point(_56983, reverse_line(_56981))]], -(apart_point_and_line(_56983, _56981))], (2 ^ _56583) ^ [_56725, _56727] : [apart_point_and_line(_56727, _56725), -(left_apart_point(_56727, _56725)), -(left_apart_point(_56727, reverse_line(_56725)))], (20 ^ _56583) ^ [_57300, _57302] : [convergent_lines(_57302, _57300), 23 ^ _56583 : [(24 ^ _56583) ^ [] : [-(unequally_directed_lines(_57302, _57300))], (26 ^ _56583) ^ [] : [-(unequally_directed_lines(_57302, reverse_line(_57300)))]]], (28 ^ _56583) ^ [_57541, _57543] : [-(convergent_lines(_57543, _57541)), unequally_directed_lines(_57543, _57541), unequally_directed_lines(_57543, reverse_line(_57541))], (38 ^ _56583) ^ [_57889, _57891, _57893] : [divides_points(_57889, _57893, _57891), 43 ^ _56583 : [(44 ^ _56583) ^ [] : [-(left_apart_point(_57893, _57889))], (46 ^ _56583) ^ [] : [-(left_apart_point(_57891, reverse_line(_57889)))]], 47 ^ _56583 : [(48 ^ _56583) ^ [] : [-(left_apart_point(_57893, reverse_line(_57889)))], (50 ^ _56583) ^ [] : [-(left_apart_point(_57891, _57889))]]], (52 ^ _56583) ^ [_58315, _58317, _58319] : [-(divides_points(_58315, _58319, _58317)), 53 ^ _56583 : [(54 ^ _56583) ^ [] : [left_apart_point(_58319, _58315), left_apart_point(_58317, reverse_line(_58315))], (60 ^ _56583) ^ [] : [left_apart_point(_58319, reverse_line(_58315)), left_apart_point(_58317, _58315)]]], (68 ^ _56583) ^ [_58848, _58850, _58852] : [before_on_line(_58852, _58850, _58848), 71 ^ _56583 : [(72 ^ _56583) ^ [] : [-(distinct_points(_58850, _58848))], (74 ^ _56583) ^ [] : [left_apart_point(_58850, _58852)], (76 ^ _56583) ^ [] : [left_apart_point(_58850, reverse_line(_58852))], (78 ^ _56583) ^ [] : [left_apart_point(_58848, _58852)], (80 ^ _56583) ^ [] : [left_apart_point(_58848, reverse_line(_58852))], (82 ^ _56583) ^ [] : [unequally_directed_lines(_58852, line_connecting(_58850, _58848))]]], (84 ^ _56583) ^ [_59418, _59420, _59422] : [-(before_on_line(_59422, _59420, _59418)), distinct_points(_59420, _59418), -(left_apart_point(_59420, _59422)), -(left_apart_point(_59420, reverse_line(_59422))), -(unequally_directed_lines(_59422, line_connecting(_59420, _59418))), -(left_apart_point(_59418, _59422)), -(left_apart_point(_59418, reverse_line(_59422)))], (110 ^ _56583) ^ [_60187, _60189, _60191, _60193] : [between_on_line(_60193, _60191, _60189, _60187), 115 ^ _56583 : [(116 ^ _56583) ^ [] : [-(before_on_line(_60193, _60191, _60189))], (118 ^ _56583) ^ [] : [-(before_on_line(_60193, _60189, _60187))]], 119 ^ _56583 : [(120 ^ _56583) ^ [] : [-(before_on_line(_60193, _60187, _60189))], (122 ^ _56583) ^ [] : [-(before_on_line(_60193, _60189, _60191))]]], (124 ^ _56583) ^ [_60629, _60631, _60633, _60635] : [-(between_on_line(_60635, _60633, _60631, _60629)), 125 ^ _56583 : [(126 ^ _56583) ^ [] : [before_on_line(_60635, _60633, _60631), before_on_line(_60635, _60631, _60629)], (132 ^ _56583) ^ [] : [before_on_line(_60635, _60629, _60631), before_on_line(_60635, _60631, _60633)]]], (140 ^ _56583) ^ [_61107] : [distinct_points(_61107, _61107)], (142 ^ _56583) ^ [_61228, _61230, _61232] : [distinct_points(_61232, _61230), -(distinct_points(_61232, _61228)), -(distinct_points(_61230, _61228))], (152 ^ _56583) ^ [_61508] : [distinct_lines(_61508, _61508)], (154 ^ _56583) ^ [_61629, _61631, _61633] : [distinct_lines(_61633, _61631), -(distinct_lines(_61633, _61629)), -(distinct_lines(_61631, _61629))], (164 ^ _56583) ^ [_61909] : [unequally_directed_lines(_61909, _61909)], (166 ^ _56583) ^ [_62030, _62032, _62034] : [unequally_directed_lines(_62034, _62032), -(unequally_directed_lines(_62034, _62030)), -(unequally_directed_lines(_62032, _62030))], (176 ^ _56583) ^ [_62354, _62356, _62358] : [unequally_directed_lines(_62358, _62356), unequally_directed_lines(_62358, reverse_line(_62356)), 185 ^ _56583 : [(186 ^ _56583) ^ [] : [-(unequally_directed_lines(_62358, _62354))], (188 ^ _56583) ^ [] : [-(unequally_directed_lines(_62358, reverse_line(_62354)))]], 189 ^ _56583 : [(190 ^ _56583) ^ [] : [-(unequally_directed_lines(_62356, _62354))], (192 ^ _56583) ^ [] : [-(unequally_directed_lines(_62356, reverse_line(_62354)))]]], (194 ^ _56583) ^ [_62925, _62927] : [line(_62927), line(_62925), -(unequally_directed_lines(_62927, _62925)), -(unequally_directed_lines(_62927, reverse_line(_62925)))], (208 ^ _56583) ^ [_63316, _63318] : [unequally_directed_lines(_63318, _63316), unequally_directed_lines(_63318, reverse_line(_63316)), -(left_convergent_lines(_63318, _63316)), -(left_convergent_lines(_63318, reverse_line(_63316)))], (222 ^ _56583) ^ [_63719, _63721] : [left_apart_point(_63721, _63719)], (224 ^ _56583) ^ [_63764, _63766] : [left_apart_point(_63766, reverse_line(_63764))], (226 ^ _56583) ^ [_63881, _63883] : [left_convergent_lines(_63883, _63881)], (228 ^ _56583) ^ [_63926, _63928] : [left_convergent_lines(_63928, reverse_line(_63926))], (230 ^ _56583) ^ [_64039, _64041] : [-(line(line_connecting(_64041, _64039))), point(_64041), point(_64039), distinct_points(_64041, _64039)], (244 ^ _56583) ^ [_64427, _64429] : [-(point(intersection_point(_64429, _64427))), line(_64429), line(_64427), unequally_directed_lines(_64429, _64427), unequally_directed_lines(_64429, reverse_line(_64427))], (262 ^ _56583) ^ [_64908, _64910] : [-(line(parallel_through_point(_64910, _64908))), point(_64908), line(_64910)], (272 ^ _56583) ^ [_65193] : [line(_65193), -(line(reverse_line(_65193)))], (278 ^ _56583) ^ [_65397, _65399] : [distinct_points(_65399, _65397), 281 ^ _56583 : [(282 ^ _56583) ^ [] : [apart_point_and_line(_65399, line_connecting(_65399, _65397))], (284 ^ _56583) ^ [] : [apart_point_and_line(_65397, line_connecting(_65399, _65397))]]], (286 ^ _56583) ^ [_65696, _65698] : [293 ^ _56583 : [(294 ^ _56583) ^ [] : [apart_point_and_line(intersection_point(_65698, _65696), _65698)], (296 ^ _56583) ^ [] : [apart_point_and_line(intersection_point(_65698, _65696), _65696)]], unequally_directed_lines(_65698, _65696), unequally_directed_lines(_65698, reverse_line(_65696))], (298 ^ _56583) ^ [_66072, _66074] : [apart_point_and_line(_66074, parallel_through_point(_66072, _66074))], (300 ^ _56583) ^ [_66154] : [distinct_lines(_66154, reverse_line(_66154))], (302 ^ _56583) ^ [_66247, _66249] : [unequally_directed_lines(line_connecting(_66249, _66247), reverse_line(line_connecting(_66247, _66249)))], (304 ^ _56583) ^ [_66348, _66350] : [unequally_directed_lines(parallel_through_point(_66348, _66350), _66348)], (306 ^ _56583) ^ [_66488, _66490, _66492, _66494] : [distinct_points(_66494, _66492), distinct_lines(_66490, _66488), -(left_apart_point(_66494, _66490)), -(left_apart_point(_66492, _66490)), -(left_apart_point(_66494, _66488)), -(left_apart_point(_66492, _66488)), -(left_apart_point(_66494, reverse_line(_66490))), -(left_apart_point(_66492, reverse_line(_66490))), -(left_apart_point(_66494, reverse_line(_66488))), -(left_apart_point(_66492, reverse_line(_66488)))], (344 ^ _56583) ^ [_67525, _67527, _67529] : [distinct_points(_67529, _67527), left_apart_point(_67529, _67525), -(left_apart_point(_67527, _67525)), -(left_convergent_lines(line_connecting(_67529, _67527), _67525))], (358 ^ _56583) ^ [_67950, _67952, _67954] : [left_apart_point(_67954, _67950), -(distinct_points(_67954, _67952)), -(left_apart_point(_67952, _67950))], (382 ^ _56583) ^ [_68677, _68679, _68681] : [left_convergent_lines(_68681, _68679), -(unequally_directed_lines(_68679, _68677)), -(left_convergent_lines(_68681, _68677))], (368 ^ _56583) ^ [_68274, _68276, _68278] : [left_apart_point(_68278, _68276), unequally_directed_lines(_68276, _68274), -(distinct_lines(_68276, _68274)), -(left_apart_point(_68278, reverse_line(_68274)))]], input).
% 0.48/1.34  ncf('1',plain,[between_on_line(391 ^ [], 394 ^ [], 393 ^ [], 392 ^ [])],start(398 ^ 0)).
% 0.48/1.34  ncf('1.1',plain,[-(between_on_line(391 ^ [], 394 ^ [], 393 ^ [], 392 ^ [])), 126 : before_on_line(391 ^ [], 394 ^ [], 393 ^ []), 126 : before_on_line(391 ^ [], 393 ^ [], 392 ^ [])],extension(124 ^ 1,bind([[_60629, _60631, _60633, _60635], [392 ^ [], 393 ^ [], 394 ^ [], 391 ^ []]]))).
% 0.48/1.34  ncf('1.1.1',plain,[-(before_on_line(391 ^ [], 394 ^ [], 393 ^ [])), between_on_line(391 ^ [], 394 ^ [], 393 ^ [], 392 ^ []), 120 : -(before_on_line(391 ^ [], 392 ^ [], 393 ^ []))],extension(110 ^ 4,bind([[_60187, _60189, _60191, _60193], [392 ^ [], 393 ^ [], 394 ^ [], 391 ^ []]]))).
% 0.48/1.34  ncf('1.1.1.1',plain,[-(between_on_line(391 ^ [], 394 ^ [], 393 ^ [], 392 ^ [])), 132 : before_on_line(391 ^ [], 392 ^ [], 393 ^ []), 132 : before_on_line(391 ^ [], 393 ^ [], 394 ^ [])],extension(124 ^ 5,bind([[_60629, _60631, _60633, _60635], [392 ^ [], 393 ^ [], 394 ^ [], 391 ^ []]]))).
% 0.48/1.34  ncf('1.1.1.1.1',plain,[-(before_on_line(391 ^ [], 392 ^ [], 393 ^ [])), between_on_line(391 ^ [], 392 ^ [], 393 ^ [], 394 ^ []), 120 : -(before_on_line(391 ^ [], 394 ^ [], 393 ^ []))],extension(110 ^ 8,bind([[_60187, _60189, _60191, _60193], [394 ^ [], 393 ^ [], 392 ^ [], 391 ^ []]]))).
% 0.48/1.34  ncf('1.1.1.1.1.1',plain,[-(between_on_line(391 ^ [], 392 ^ [], 393 ^ [], 394 ^ []))],extension(396 ^ 9)).
% 0.48/1.34  ncf('1.1.1.1.1.2',plain,[before_on_line(391 ^ [], 394 ^ [], 393 ^ [])],reduction('1.1')).
% 0.48/1.34  ncf('1.1.1.1.2',plain,[-(before_on_line(391 ^ [], 393 ^ [], 394 ^ [])), between_on_line(391 ^ [], 392 ^ [], 393 ^ [], 394 ^ []), 120 : -(before_on_line(391 ^ [], 394 ^ [], 393 ^ []))],extension(110 ^ 8,bind([[_60187, _60189, _60191, _60193], [394 ^ [], 393 ^ [], 392 ^ [], 391 ^ []]]))).
% 0.48/1.34  ncf('1.1.1.1.2.1',plain,[-(between_on_line(391 ^ [], 392 ^ [], 393 ^ [], 394 ^ []))],extension(396 ^ 9)).
% 0.48/1.34  ncf('1.1.1.1.2.2',plain,[before_on_line(391 ^ [], 394 ^ [], 393 ^ [])],reduction('1.1')).
% 0.48/1.34  ncf('1.1.1.2',plain,[before_on_line(391 ^ [], 392 ^ [], 393 ^ []), before_on_line(391 ^ [], 393 ^ [], 394 ^ [])],extension(132 ^ 7)).
% 0.48/1.34  ncf('1.1.1.2.1',plain,[-(before_on_line(391 ^ [], 393 ^ [], 394 ^ [])), between_on_line(391 ^ [], 392 ^ [], 393 ^ [], 394 ^ []), 120 : -(before_on_line(391 ^ [], 394 ^ [], 393 ^ []))],extension(110 ^ 8,bind([[_60187, _60189, _60191, _60193], [394 ^ [], 393 ^ [], 392 ^ [], 391 ^ []]]))).
% 0.48/1.34  ncf('1.1.1.2.1.1',plain,[-(between_on_line(391 ^ [], 392 ^ [], 393 ^ [], 394 ^ []))],extension(396 ^ 9)).
% 0.48/1.34  ncf('1.1.1.2.1.2',plain,[before_on_line(391 ^ [], 394 ^ [], 393 ^ [])],reduction('1.1')).
% 0.48/1.34  ncf('1.1.2',plain,[-(before_on_line(391 ^ [], 393 ^ [], 392 ^ [])), between_on_line(391 ^ [], 394 ^ [], 393 ^ [], 392 ^ []), 120 : -(before_on_line(391 ^ [], 392 ^ [], 393 ^ []))],extension(110 ^ 4,bind([[_60187, _60189, _60191, _60193], [392 ^ [], 393 ^ [], 394 ^ [], 391 ^ []]]))).
% 0.48/1.34  ncf('1.1.2.1',plain,[-(between_on_line(391 ^ [], 394 ^ [], 393 ^ [], 392 ^ [])), 132 : before_on_line(391 ^ [], 392 ^ [], 393 ^ []), 132 : before_on_line(391 ^ [], 393 ^ [], 394 ^ [])],extension(124 ^ 5,bind([[_60629, _60631, _60633, _60635], [392 ^ [], 393 ^ [], 394 ^ [], 391 ^ []]]))).
% 0.48/1.34  ncf('1.1.2.1.1',plain,[-(before_on_line(391 ^ [], 392 ^ [], 393 ^ [])), between_on_line(391 ^ [], 392 ^ [], 393 ^ [], 394 ^ []), 122 : -(before_on_line(391 ^ [], 393 ^ [], 392 ^ []))],extension(110 ^ 8,bind([[_60187, _60189, _60191, _60193], [394 ^ [], 393 ^ [], 392 ^ [], 391 ^ []]]))).
% 0.48/1.34  ncf('1.1.2.1.1.1',plain,[-(between_on_line(391 ^ [], 392 ^ [], 393 ^ [], 394 ^ []))],extension(396 ^ 9)).
% 0.48/1.34  ncf('1.1.2.1.1.2',plain,[before_on_line(391 ^ [], 393 ^ [], 392 ^ [])],reduction('1.1')).
% 0.48/1.34  ncf('1.1.2.1.2',plain,[-(before_on_line(391 ^ [], 393 ^ [], 394 ^ [])), between_on_line(391 ^ [], 392 ^ [], 393 ^ [], 394 ^ []), 122 : -(before_on_line(391 ^ [], 393 ^ [], 392 ^ []))],extension(110 ^ 8,bind([[_60187, _60189, _60191, _60193], [394 ^ [], 393 ^ [], 392 ^ [], 391 ^ []]]))).
% 0.48/1.34  ncf('1.1.2.1.2.1',plain,[-(between_on_line(391 ^ [], 392 ^ [], 393 ^ [], 394 ^ []))],extension(396 ^ 9)).
% 0.48/1.34  ncf('1.1.2.1.2.2',plain,[before_on_line(391 ^ [], 393 ^ [], 392 ^ [])],reduction('1.1')).
% 0.48/1.34  ncf('1.1.2.2',plain,[before_on_line(391 ^ [], 392 ^ [], 393 ^ []), before_on_line(391 ^ [], 393 ^ [], 394 ^ [])],extension(132 ^ 7)).
% 0.48/1.34  ncf('1.1.2.2.1',plain,[-(before_on_line(391 ^ [], 393 ^ [], 394 ^ [])), between_on_line(391 ^ [], 392 ^ [], 393 ^ [], 394 ^ []), 122 : -(before_on_line(391 ^ [], 393 ^ [], 392 ^ []))],extension(110 ^ 8,bind([[_60187, _60189, _60191, _60193], [394 ^ [], 393 ^ [], 392 ^ [], 391 ^ []]]))).
% 0.48/1.34  ncf('1.1.2.2.1.1',plain,[-(between_on_line(391 ^ [], 392 ^ [], 393 ^ [], 394 ^ []))],extension(396 ^ 9)).
% 0.48/1.34  ncf('1.1.2.2.1.2',plain,[before_on_line(391 ^ [], 393 ^ [], 392 ^ [])],reduction('1.1')).
% 0.48/1.34  %-----------------------------------------------------
% 0.48/1.34  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------