%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO260+1 : TPTP v8.1.2. Bugfixed v8.1.0.
% 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 11:12:23 EDT 2023

% Result   : Theorem 1.57s 2.41s
% Output   : Proof 1.57s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO260+1 : TPTP v8.1.2. Bugfixed v8.1.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n002.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Fri May 19 04:34:04 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 1.57/2.41  
% 1.57/2.41  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 1.57/2.41  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.57/2.41  %-----------------------------------------------------
% 1.57/2.41  ncf(matrix, plain, [(396 ^ _56539) ^ [] : [-(line(391 ^ []))], (398 ^ _56539) ^ [] : [-(distinct_points(392 ^ [], 394 ^ []))], (400 ^ _56539) ^ [] : [-(distinct_points(393 ^ [], 394 ^ []))], (402 ^ _56539) ^ [] : [-(distinct_points(392 ^ [], 393 ^ []))], (404 ^ _56539) ^ [] : [-(between_on_line(391 ^ [], 392 ^ [], 393 ^ [], 394 ^ []))], (406 ^ _56539) ^ [] : [-(between_on_line(391 ^ [], 392 ^ [], 394 ^ [], 393 ^ []))], (12 ^ _56539) ^ [_56937, _56939] : [13 ^ _56539 : [(14 ^ _56539) ^ [] : [left_apart_point(_56939, _56937)], (16 ^ _56539) ^ [] : [left_apart_point(_56939, reverse_line(_56937))]], -(apart_point_and_line(_56939, _56937))], (2 ^ _56539) ^ [_56681, _56683] : [apart_point_and_line(_56683, _56681), -(left_apart_point(_56683, _56681)), -(left_apart_point(_56683, reverse_line(_56681)))], (20 ^ _56539) ^ [_57256, _57258] : [convergent_lines(_57258, _57256), 23 ^ _56539 : [(24 ^ _56539) ^ [] : [-(unequally_directed_lines(_57258, _57256))], (26 ^ _56539) ^ [] : [-(unequally_directed_lines(_57258, reverse_line(_57256)))]]], (28 ^ _56539) ^ [_57497, _57499] : [-(convergent_lines(_57499, _57497)), unequally_directed_lines(_57499, _57497), unequally_directed_lines(_57499, reverse_line(_57497))], (38 ^ _56539) ^ [_57845, _57847, _57849] : [divides_points(_57845, _57849, _57847), 43 ^ _56539 : [(44 ^ _56539) ^ [] : [-(left_apart_point(_57849, _57845))], (46 ^ _56539) ^ [] : [-(left_apart_point(_57847, reverse_line(_57845)))]], 47 ^ _56539 : [(48 ^ _56539) ^ [] : [-(left_apart_point(_57849, reverse_line(_57845)))], (50 ^ _56539) ^ [] : [-(left_apart_point(_57847, _57845))]]], (52 ^ _56539) ^ [_58271, _58273, _58275] : [-(divides_points(_58271, _58275, _58273)), 53 ^ _56539 : [(54 ^ _56539) ^ [] : [left_apart_point(_58275, _58271), left_apart_point(_58273, reverse_line(_58271))], (60 ^ _56539) ^ [] : [left_apart_point(_58275, reverse_line(_58271)), left_apart_point(_58273, _58271)]]], (68 ^ _56539) ^ [_58804, _58806, _58808] : [before_on_line(_58808, _58806, _58804), 71 ^ _56539 : [(72 ^ _56539) ^ [] : [-(distinct_points(_58806, _58804))], (74 ^ _56539) ^ [] : [left_apart_point(_58806, _58808)], (76 ^ _56539) ^ [] : [left_apart_point(_58806, reverse_line(_58808))], (78 ^ _56539) ^ [] : [left_apart_point(_58804, _58808)], (80 ^ _56539) ^ [] : [left_apart_point(_58804, reverse_line(_58808))], (82 ^ _56539) ^ [] : [unequally_directed_lines(_58808, line_connecting(_58806, _58804))]]], (84 ^ _56539) ^ [_59374, _59376, _59378] : [-(before_on_line(_59378, _59376, _59374)), distinct_points(_59376, _59374), -(left_apart_point(_59376, _59378)), -(left_apart_point(_59376, reverse_line(_59378))), -(unequally_directed_lines(_59378, line_connecting(_59376, _59374))), -(left_apart_point(_59374, _59378)), -(left_apart_point(_59374, reverse_line(_59378)))], (110 ^ _56539) ^ [_60143, _60145, _60147, _60149] : [between_on_line(_60149, _60147, _60145, _60143), 115 ^ _56539 : [(116 ^ _56539) ^ [] : [-(before_on_line(_60149, _60147, _60145))], (118 ^ _56539) ^ [] : [-(before_on_line(_60149, _60145, _60143))]], 119 ^ _56539 : [(120 ^ _56539) ^ [] : [-(before_on_line(_60149, _60143, _60145))], (122 ^ _56539) ^ [] : [-(before_on_line(_60149, _60145, _60147))]]], (124 ^ _56539) ^ [_60585, _60587, _60589, _60591] : [-(between_on_line(_60591, _60589, _60587, _60585)), 125 ^ _56539 : [(126 ^ _56539) ^ [] : [before_on_line(_60591, _60589, _60587), before_on_line(_60591, _60587, _60585)], (132 ^ _56539) ^ [] : [before_on_line(_60591, _60585, _60587), before_on_line(_60591, _60587, _60589)]]], (140 ^ _56539) ^ [_61063] : [distinct_points(_61063, _61063)], (142 ^ _56539) ^ [_61184, _61186, _61188] : [distinct_points(_61188, _61186), -(distinct_points(_61188, _61184)), -(distinct_points(_61186, _61184))], (152 ^ _56539) ^ [_61464] : [distinct_lines(_61464, _61464)], (154 ^ _56539) ^ [_61585, _61587, _61589] : [distinct_lines(_61589, _61587), -(distinct_lines(_61589, _61585)), -(distinct_lines(_61587, _61585))], (164 ^ _56539) ^ [_61865] : [unequally_directed_lines(_61865, _61865)], (166 ^ _56539) ^ [_61986, _61988, _61990] : [unequally_directed_lines(_61990, _61988), -(unequally_directed_lines(_61990, _61986)), -(unequally_directed_lines(_61988, _61986))], (176 ^ _56539) ^ [_62310, _62312, _62314] : [unequally_directed_lines(_62314, _62312), unequally_directed_lines(_62314, reverse_line(_62312)), 185 ^ _56539 : [(186 ^ _56539) ^ [] : [-(unequally_directed_lines(_62314, _62310))], (188 ^ _56539) ^ [] : [-(unequally_directed_lines(_62314, reverse_line(_62310)))]], 189 ^ _56539 : [(190 ^ _56539) ^ [] : [-(unequally_directed_lines(_62312, _62310))], (192 ^ _56539) ^ [] : [-(unequally_directed_lines(_62312, reverse_line(_62310)))]]], (194 ^ _56539) ^ [_62881, _62883] : [line(_62883), line(_62881), -(unequally_directed_lines(_62883, _62881)), -(unequally_directed_lines(_62883, reverse_line(_62881)))], (208 ^ _56539) ^ [_63272, _63274] : [unequally_directed_lines(_63274, _63272), unequally_directed_lines(_63274, reverse_line(_63272)), -(left_convergent_lines(_63274, _63272)), -(left_convergent_lines(_63274, reverse_line(_63272)))], (222 ^ _56539) ^ [_63675, _63677] : [left_apart_point(_63677, _63675)], (224 ^ _56539) ^ [_63720, _63722] : [left_apart_point(_63722, reverse_line(_63720))], (226 ^ _56539) ^ [_63837, _63839] : [left_convergent_lines(_63839, _63837)], (228 ^ _56539) ^ [_63882, _63884] : [left_convergent_lines(_63884, reverse_line(_63882))], (230 ^ _56539) ^ [_63995, _63997] : [-(line(line_connecting(_63997, _63995))), point(_63997), point(_63995), distinct_points(_63997, _63995)], (244 ^ _56539) ^ [_64383, _64385] : [-(point(intersection_point(_64385, _64383))), line(_64385), line(_64383), unequally_directed_lines(_64385, _64383), unequally_directed_lines(_64385, reverse_line(_64383))], (262 ^ _56539) ^ [_64864, _64866] : [-(line(parallel_through_point(_64866, _64864))), point(_64864), line(_64866)], (272 ^ _56539) ^ [_65149] : [line(_65149), -(line(reverse_line(_65149)))], (278 ^ _56539) ^ [_65353, _65355] : [distinct_points(_65355, _65353), 281 ^ _56539 : [(282 ^ _56539) ^ [] : [apart_point_and_line(_65355, line_connecting(_65355, _65353))], (284 ^ _56539) ^ [] : [apart_point_and_line(_65353, line_connecting(_65355, _65353))]]], (286 ^ _56539) ^ [_65652, _65654] : [293 ^ _56539 : [(294 ^ _56539) ^ [] : [apart_point_and_line(intersection_point(_65654, _65652), _65654)], (296 ^ _56539) ^ [] : [apart_point_and_line(intersection_point(_65654, _65652), _65652)]], unequally_directed_lines(_65654, _65652), unequally_directed_lines(_65654, reverse_line(_65652))], (298 ^ _56539) ^ [_66028, _66030] : [apart_point_and_line(_66030, parallel_through_point(_66028, _66030))], (300 ^ _56539) ^ [_66110] : [distinct_lines(_66110, reverse_line(_66110))], (302 ^ _56539) ^ [_66203, _66205] : [unequally_directed_lines(line_connecting(_66205, _66203), reverse_line(line_connecting(_66203, _66205)))], (304 ^ _56539) ^ [_66304, _66306] : [unequally_directed_lines(parallel_through_point(_66304, _66306), _66304)], (306 ^ _56539) ^ [_66444, _66446, _66448, _66450] : [distinct_points(_66450, _66448), distinct_lines(_66446, _66444), -(left_apart_point(_66450, _66446)), -(left_apart_point(_66448, _66446)), -(left_apart_point(_66450, _66444)), -(left_apart_point(_66448, _66444)), -(left_apart_point(_66450, reverse_line(_66446))), -(left_apart_point(_66448, reverse_line(_66446))), -(left_apart_point(_66450, reverse_line(_66444))), -(left_apart_point(_66448, reverse_line(_66444)))], (344 ^ _56539) ^ [_67481, _67483, _67485] : [distinct_points(_67485, _67483), left_apart_point(_67485, _67481), -(left_apart_point(_67483, _67481)), -(left_convergent_lines(line_connecting(_67485, _67483), _67481))], (358 ^ _56539) ^ [_67906, _67908, _67910] : [left_apart_point(_67910, _67906), -(distinct_points(_67910, _67908)), -(left_apart_point(_67908, _67906))], (382 ^ _56539) ^ [_68633, _68635, _68637] : [left_convergent_lines(_68637, _68635), -(unequally_directed_lines(_68635, _68633)), -(left_convergent_lines(_68637, _68633))], (368 ^ _56539) ^ [_68230, _68232, _68234] : [left_apart_point(_68234, _68232), unequally_directed_lines(_68232, _68230), -(distinct_lines(_68232, _68230)), -(left_apart_point(_68234, reverse_line(_68230)))]], input).
% 1.57/2.41  ncf('1',plain,[unequally_directed_lines(line_connecting(_35143, _35143), reverse_line(line_connecting(_35143, _35143)))],start(302 ^ 0,bind([[_66203, _66205], [_35143, _35143]]))).
% 1.57/2.41  ncf('1.1',plain,[-(unequally_directed_lines(line_connecting(_35143, _35143), reverse_line(line_connecting(_35143, _35143)))), unequally_directed_lines(391 ^ [], line_connecting(_35143, _35143)), -(unequally_directed_lines(391 ^ [], reverse_line(line_connecting(_35143, _35143))))],extension(166 ^ 1,bind([[_61986, _61988, _61990], [reverse_line(line_connecting(_35143, _35143)), line_connecting(_35143, _35143), 391 ^ []]]))).
% 1.57/2.41  ncf('1.1.1',plain,[-(unequally_directed_lines(391 ^ [], line_connecting(_35143, _35143))), unequally_directed_lines(391 ^ [], reverse_line(391 ^ [])), -(unequally_directed_lines(reverse_line(391 ^ []), line_connecting(_35143, _35143)))],extension(166 ^ 2,bind([[_61986, _61988, _61990], [line_connecting(_35143, _35143), reverse_line(391 ^ []), 391 ^ []]]))).
% 1.57/2.41  ncf('1.1.1.1',plain,[-(unequally_directed_lines(391 ^ [], reverse_line(391 ^ []))), unequally_directed_lines(391 ^ [], 391 ^ []), -(unequally_directed_lines(391 ^ [], reverse_line(391 ^ [])))],extension(166 ^ 3,bind([[_61986, _61988, _61990], [reverse_line(391 ^ []), 391 ^ [], 391 ^ []]]))).
% 1.57/2.41  ncf('1.1.1.1.1',plain,[-(unequally_directed_lines(391 ^ [], 391 ^ [])), line(391 ^ []), line(391 ^ []), -(unequally_directed_lines(391 ^ [], reverse_line(391 ^ [])))],extension(194 ^ 4,bind([[_62881, _62883], [391 ^ [], 391 ^ []]]))).
% 1.57/2.41  ncf('1.1.1.1.1.1',plain,[-(line(391 ^ []))],extension(396 ^ 5)).
% 1.57/2.41  ncf('1.1.1.1.1.2',plain,[-(line(391 ^ []))],extension(396 ^ 5)).
% 1.57/2.41  ncf('1.1.1.1.1.3',plain,[unequally_directed_lines(391 ^ [], reverse_line(391 ^ []))],reduction('1.1.1')).
% 1.57/2.41  ncf('1.1.1.1.2',plain,[unequally_directed_lines(391 ^ [], reverse_line(391 ^ []))],reduction('1.1.1')).
% 1.57/2.41  ncf('1.1.1.2',plain,[unequally_directed_lines(reverse_line(391 ^ []), line_connecting(_35143, _35143)), unequally_directed_lines(reverse_line(391 ^ []), reverse_line(line_connecting(_35143, _35143))), -(left_convergent_lines(reverse_line(391 ^ []), line_connecting(_35143, _35143))), -(left_convergent_lines(reverse_line(391 ^ []), reverse_line(line_connecting(_35143, _35143))))],extension(208 ^ 3,bind([[_63272, _63274], [line_connecting(_35143, _35143), reverse_line(391 ^ [])]]))).
% 1.57/2.41  ncf('1.1.1.2.1',plain,[-(unequally_directed_lines(reverse_line(391 ^ []), reverse_line(line_connecting(_35143, _35143)))), unequally_directed_lines(reverse_line(391 ^ []), line_connecting(_35143, _35143)), -(unequally_directed_lines(line_connecting(_35143, _35143), reverse_line(line_connecting(_35143, _35143))))],extension(166 ^ 4,bind([[_61986, _61988, _61990], [reverse_line(line_connecting(_35143, _35143)), line_connecting(_35143, _35143), reverse_line(391 ^ [])]]))).
% 1.57/2.41  ncf('1.1.1.2.1.1',plain,[-(unequally_directed_lines(reverse_line(391 ^ []), line_connecting(_35143, _35143)))],reduction('1.1.1')).
% 1.57/2.41  ncf('1.1.1.2.1.2',plain,[unequally_directed_lines(line_connecting(_35143, _35143), reverse_line(line_connecting(_35143, _35143)))],reduction('1')).
% 1.57/2.41  ncf('1.1.1.2.2',plain,[left_convergent_lines(reverse_line(391 ^ []), line_connecting(_35143, _35143))],extension(226 ^ 4,bind([[_63837, _63839], [line_connecting(_35143, _35143), reverse_line(391 ^ [])]]))).
% 1.57/2.41  ncf('1.1.1.2.3',plain,[left_convergent_lines(reverse_line(391 ^ []), reverse_line(line_connecting(_35143, _35143)))],extension(226 ^ 4,bind([[_63837, _63839], [reverse_line(line_connecting(_35143, _35143)), reverse_line(391 ^ [])]]))).
% 1.57/2.41  ncf('1.1.2',plain,[unequally_directed_lines(391 ^ [], reverse_line(line_connecting(_35143, _35143))), unequally_directed_lines(391 ^ [], line_connecting(_35143, _35143)), 186 : -(unequally_directed_lines(391 ^ [], 391 ^ [])), 190 : -(unequally_directed_lines(line_connecting(_35143, _35143), 391 ^ []))],extension(176 ^ 2,bind([[_62310, _62312, _62314], [391 ^ [], line_connecting(_35143, _35143), 391 ^ []]]))).
% 1.57/2.41  ncf('1.1.2.1',plain,[-(unequally_directed_lines(391 ^ [], line_connecting(_35143, _35143)))],lemmata('[1].x')).
% 1.57/2.41  ncf('1.1.2.2',plain,[unequally_directed_lines(391 ^ [], 391 ^ [])],extension(164 ^ 5,bind([[_61865], [391 ^ []]]))).
% 1.57/2.41  ncf('1.1.2.3',plain,[unequally_directed_lines(line_connecting(_35143, _35143), 391 ^ []), unequally_directed_lines(line_connecting(_35143, _35143), reverse_line(391 ^ [])), -(left_convergent_lines(line_connecting(_35143, _35143), 391 ^ [])), -(left_convergent_lines(line_connecting(_35143, _35143), reverse_line(391 ^ [])))],extension(208 ^ 5,bind([[_63272, _63274], [391 ^ [], line_connecting(_35143, _35143)]]))).
% 1.57/2.41  ncf('1.1.2.3.1',plain,[-(unequally_directed_lines(line_connecting(_35143, _35143), reverse_line(391 ^ [])))],extension(192 ^ 6)).
% 1.57/2.41  ncf('1.1.2.3.2',plain,[left_convergent_lines(line_connecting(_35143, _35143), 391 ^ [])],extension(226 ^ 6,bind([[_63837, _63839], [391 ^ [], line_connecting(_35143, _35143)]]))).
% 1.57/2.41  ncf('1.1.2.3.3',plain,[left_convergent_lines(line_connecting(_35143, _35143), reverse_line(391 ^ []))],extension(226 ^ 6,bind([[_63837, _63839], [reverse_line(391 ^ []), line_connecting(_35143, _35143)]]))).
% 1.57/2.41  %-----------------------------------------------------
% 1.57/2.41  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------