%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO196+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n018.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 11:12:10 EDT 2023

% Result   : Theorem 102.03s 98.99s
% Output   : Proof 102.03s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GEO196+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.35  % Computer : n018.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri May 19 04:33:28 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 102.03/98.99  
% 102.03/98.99  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 102.03/98.99  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 102.03/98.99  %-----------------------------------------------------
% 102.03/98.99  ncf(matrix, plain, [(330 ^ _55348) ^ [] : [-(convergent_lines(325 ^ [], 326 ^ []))], (332 ^ _55348) ^ [] : [-(convergent_lines(327 ^ [], 328 ^ []))], (334 ^ _55348) ^ [] : [-(incident_point_and_line(intersection_point(325 ^ [], 326 ^ []), 327 ^ []))], (336 ^ _55348) ^ [] : [-(incident_point_and_line(intersection_point(325 ^ [], 326 ^ []), 328 ^ []))], (338 ^ _55348) ^ [] : [incident_point_and_line(intersection_point(327 ^ [], 328 ^ []), 325 ^ []), incident_point_and_line(intersection_point(327 ^ [], 328 ^ []), 326 ^ [])], (2 ^ _55348) ^ [_55451] : [distinct_points(_55451, _55451)], (4 ^ _55348) ^ [_55528] : [distinct_lines(_55528, _55528)], (6 ^ _55348) ^ [_55605] : [convergent_lines(_55605, _55605)], (8 ^ _55348) ^ [_55726, _55728, _55730] : [distinct_points(_55730, _55728), -(distinct_points(_55730, _55726)), -(distinct_points(_55728, _55726))], (18 ^ _55348) ^ [_56050, _56052, _56054] : [distinct_lines(_56054, _56052), -(distinct_lines(_56054, _56050)), -(distinct_lines(_56052, _56050))], (28 ^ _55348) ^ [_56374, _56376, _56378] : [convergent_lines(_56378, _56376), -(convergent_lines(_56378, _56374)), -(convergent_lines(_56376, _56374))], (38 ^ _55348) ^ [_56684, _56686] : [distinct_points(_56686, _56684), apart_point_and_line(_56686, line_connecting(_56686, _56684))], (44 ^ _55348) ^ [_56901, _56903] : [distinct_points(_56903, _56901), apart_point_and_line(_56901, line_connecting(_56903, _56901))], (50 ^ _55348) ^ [_57118, _57120] : [convergent_lines(_57120, _57118), apart_point_and_line(intersection_point(_57120, _57118), _57120)], (56 ^ _55348) ^ [_57335, _57337] : [convergent_lines(_57337, _57335), apart_point_and_line(intersection_point(_57337, _57335), _57335)], (62 ^ _55348) ^ [_57580, _57582, _57584, _57586] : [distinct_points(_57586, _57584), distinct_lines(_57582, _57580), -(apart_point_and_line(_57586, _57582)), -(apart_point_and_line(_57586, _57580)), -(apart_point_and_line(_57584, _57582)), -(apart_point_and_line(_57584, _57580))], (84 ^ _55348) ^ [_58209, _58211, _58213] : [apart_point_and_line(_58213, _58211), -(distinct_points(_58213, _58209)), -(apart_point_and_line(_58209, _58211))], (94 ^ _55348) ^ [_58533, _58535, _58537] : [apart_point_and_line(_58537, _58535), -(distinct_lines(_58535, _58533)), -(apart_point_and_line(_58537, _58533))], (104 ^ _55348) ^ [_58837, _58839, _58841] : [convergent_lines(_58841, _58839), -(distinct_lines(_58839, _58837)), -(convergent_lines(_58841, _58837))], (114 ^ _55348) ^ [_59173, _59175] : [distinct_lines(_59175, _59173), -(convergent_lines(_59175, _59173))], (120 ^ _55348) ^ [_59387, _59389] : [convergent_lines(parallel_through_point(_59387, _59389), _59387)], (122 ^ _55348) ^ [_59483, _59485] : [apart_point_and_line(_59485, parallel_through_point(_59483, _59485))], (124 ^ _55348) ^ [_59589, _59591, _59593] : [distinct_lines(_59591, _59589), -(apart_point_and_line(_59593, _59591)), -(apart_point_and_line(_59593, _59589)), -(convergent_lines(_59591, _59589))], (138 ^ _55348) ^ [_60017, _60019] : [-(convergent_lines(_60019, _60017)), -(unorthogonal_lines(_60019, _60017))], (144 ^ _55348) ^ [_60242, _60244, _60246] : [convergent_lines(_60246, _60244), unorthogonal_lines(_60246, _60244), 153 ^ _55348 : [(154 ^ _55348) ^ [] : [-(convergent_lines(_60246, _60242))], (156 ^ _55348) ^ [] : [-(unorthogonal_lines(_60246, _60242))]], 157 ^ _55348 : [(158 ^ _55348) ^ [] : [-(convergent_lines(_60244, _60242))], (160 ^ _55348) ^ [] : [-(unorthogonal_lines(_60244, _60242))]]], (162 ^ _55348) ^ [_60785, _60787] : [unorthogonal_lines(orthogonal_through_point(_60785, _60787), _60785)], (164 ^ _55348) ^ [_60881, _60883] : [apart_point_and_line(_60883, orthogonal_through_point(_60881, _60883))], (166 ^ _55348) ^ [_61001, _61003, _61005, _61007] : [distinct_lines(_61005, _61003), -(apart_point_and_line(_61007, _61005)), -(apart_point_and_line(_61007, _61003)), -(unorthogonal_lines(_61005, _61001)), -(unorthogonal_lines(_61003, _61001))], (184 ^ _55348) ^ [_61545, _61547] : [-(convergent_lines(_61547, _61545)), -(unorthogonal_lines(_61547, _61545))], (208 ^ _55348) ^ [_62339, _62341, _62343] : [convergent_lines(_62341, _62339), -(unorthogonal_lines(_62343, _62341)), -(unorthogonal_lines(_62343, _62339))], (190 ^ _55348) ^ [_61774, _61776, _61778] : [193 ^ _55348 : [(194 ^ _55348) ^ [] : [-(convergent_lines(_61778, _61776))], (196 ^ _55348) ^ [] : [-(unorthogonal_lines(_61778, _61776))]], 197 ^ _55348 : [(198 ^ _55348) ^ [] : [-(convergent_lines(_61778, _61774))], (200 ^ _55348) ^ [] : [-(unorthogonal_lines(_61778, _61774))]], convergent_lines(_61776, _61774), unorthogonal_lines(_61776, _61774)], (218 ^ _55348) ^ [_62679, _62681] : [-(line(line_connecting(_62681, _62679))), point(_62681), point(_62679), distinct_points(_62681, _62679)], (232 ^ _55348) ^ [_63067, _63069] : [-(point(intersection_point(_63069, _63067))), line(_63069), line(_63067), convergent_lines(_63069, _63067)], (246 ^ _55348) ^ [_63455, _63457] : [-(line(parallel_through_point(_63457, _63455))), line(_63457), point(_63455)], (256 ^ _55348) ^ [_63734, _63736] : [-(line(orthogonal_through_point(_63736, _63734))), line(_63736), point(_63734)], (266 ^ _55348) ^ [_64068, _64070] : [equal_points(_64070, _64068), distinct_points(_64070, _64068)], (272 ^ _55348) ^ [_64231, _64233] : [-(distinct_points(_64233, _64231)), -(equal_points(_64233, _64231))], (278 ^ _55348) ^ [_64475, _64477] : [equal_lines(_64477, _64475), distinct_lines(_64477, _64475)], (284 ^ _55348) ^ [_64638, _64640] : [-(distinct_lines(_64640, _64638)), -(equal_lines(_64640, _64638))], (290 ^ _55348) ^ [_64882, _64884] : [parallel_lines(_64884, _64882), convergent_lines(_64884, _64882)], (296 ^ _55348) ^ [_65045, _65047] : [-(convergent_lines(_65047, _65045)), -(parallel_lines(_65047, _65045))], (302 ^ _55348) ^ [_65289, _65291] : [incident_point_and_line(_65291, _65289), apart_point_and_line(_65291, _65289)], (308 ^ _55348) ^ [_65452, _65454] : [-(apart_point_and_line(_65454, _65452)), -(incident_point_and_line(_65454, _65452))], (314 ^ _55348) ^ [_65676, _65678] : [orthogonal_lines(_65678, _65676), unorthogonal_lines(_65678, _65676)], (320 ^ _55348) ^ [_65839, _65841] : [-(unorthogonal_lines(_65841, _65839)), -(orthogonal_lines(_65841, _65839))]], input).
% 102.03/98.99  ncf('1',plain,[incident_point_and_line(intersection_point(327 ^ [], 328 ^ []), 325 ^ []), incident_point_and_line(intersection_point(327 ^ [], 328 ^ []), 326 ^ [])],start(338 ^ 0)).
% 102.03/98.99  ncf('1.1',plain,[-(incident_point_and_line(intersection_point(327 ^ [], 328 ^ []), 325 ^ [])), -(apart_point_and_line(intersection_point(327 ^ [], 328 ^ []), 325 ^ []))],extension(308 ^ 1,bind([[_65452, _65454], [325 ^ [], intersection_point(327 ^ [], 328 ^ [])]]))).
% 102.03/98.99  ncf('1.1.1',plain,[apart_point_and_line(intersection_point(327 ^ [], 328 ^ []), 325 ^ []), -(distinct_points(intersection_point(327 ^ [], 328 ^ []), intersection_point(325 ^ [], 326 ^ []))), -(apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 325 ^ []))],extension(84 ^ 2,bind([[_58209, _58211, _58213], [intersection_point(325 ^ [], 326 ^ []), 325 ^ [], intersection_point(327 ^ [], 328 ^ [])]]))).
% 102.03/98.99  ncf('1.1.1.1',plain,[distinct_points(intersection_point(327 ^ [], 328 ^ []), intersection_point(325 ^ [], 326 ^ [])), distinct_lines(328 ^ [], 327 ^ []), -(apart_point_and_line(intersection_point(327 ^ [], 328 ^ []), 328 ^ [])), -(apart_point_and_line(intersection_point(327 ^ [], 328 ^ []), 327 ^ [])), -(apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 328 ^ [])), -(apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 327 ^ []))],extension(62 ^ 3,bind([[_57580, _57582, _57584, _57586], [327 ^ [], 328 ^ [], intersection_point(325 ^ [], 326 ^ []), intersection_point(327 ^ [], 328 ^ [])]]))).
% 102.03/98.99  ncf('1.1.1.1.1',plain,[-(distinct_lines(328 ^ [], 327 ^ [])), convergent_lines(327 ^ [], 328 ^ []), -(convergent_lines(327 ^ [], 327 ^ []))],extension(104 ^ 4,bind([[_58837, _58839, _58841], [327 ^ [], 328 ^ [], 327 ^ []]]))).
% 102.03/98.99  ncf('1.1.1.1.1.1',plain,[-(convergent_lines(327 ^ [], 328 ^ []))],extension(332 ^ 5)).
% 102.03/98.99  ncf('1.1.1.1.1.2',plain,[convergent_lines(327 ^ [], 327 ^ [])],extension(6 ^ 5,bind([[_55605], [327 ^ []]]))).
% 102.03/98.99  ncf('1.1.1.1.2',plain,[apart_point_and_line(intersection_point(327 ^ [], 328 ^ []), 328 ^ []), convergent_lines(327 ^ [], 328 ^ [])],extension(56 ^ 4,bind([[_57335, _57337], [328 ^ [], 327 ^ []]]))).
% 102.03/98.99  ncf('1.1.1.1.2.1',plain,[-(convergent_lines(327 ^ [], 328 ^ []))],extension(332 ^ 5)).
% 102.03/98.99  ncf('1.1.1.1.3',plain,[apart_point_and_line(intersection_point(327 ^ [], 328 ^ []), 327 ^ []), convergent_lines(327 ^ [], 328 ^ [])],extension(50 ^ 4,bind([[_57118, _57120], [328 ^ [], 327 ^ []]]))).
% 102.03/98.99  ncf('1.1.1.1.3.1',plain,[-(convergent_lines(327 ^ [], 328 ^ []))],extension(332 ^ 5)).
% 102.03/98.99  ncf('1.1.1.1.4',plain,[apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 328 ^ []), incident_point_and_line(intersection_point(325 ^ [], 326 ^ []), 328 ^ [])],extension(302 ^ 4,bind([[_65289, _65291], [328 ^ [], intersection_point(325 ^ [], 326 ^ [])]]))).
% 102.03/98.99  ncf('1.1.1.1.4.1',plain,[-(incident_point_and_line(intersection_point(325 ^ [], 326 ^ []), 328 ^ []))],extension(336 ^ 5)).
% 102.03/98.99  ncf('1.1.1.1.5',plain,[apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 327 ^ []), incident_point_and_line(intersection_point(325 ^ [], 326 ^ []), 327 ^ [])],extension(302 ^ 4,bind([[_65289, _65291], [327 ^ [], intersection_point(325 ^ [], 326 ^ [])]]))).
% 102.03/98.99  ncf('1.1.1.1.5.1',plain,[-(incident_point_and_line(intersection_point(325 ^ [], 326 ^ []), 327 ^ []))],extension(334 ^ 5)).
% 102.03/98.99  ncf('1.1.1.2',plain,[apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 325 ^ []), convergent_lines(325 ^ [], 326 ^ [])],extension(50 ^ 3,bind([[_57118, _57120], [326 ^ [], 325 ^ []]]))).
% 102.03/98.99  ncf('1.1.1.2.1',plain,[-(convergent_lines(325 ^ [], 326 ^ []))],extension(330 ^ 4)).
% 102.03/98.99  ncf('1.2',plain,[-(incident_point_and_line(intersection_point(327 ^ [], 328 ^ []), 326 ^ [])), -(apart_point_and_line(intersection_point(327 ^ [], 328 ^ []), 326 ^ []))],extension(308 ^ 1,bind([[_65452, _65454], [326 ^ [], intersection_point(327 ^ [], 328 ^ [])]]))).
% 102.03/98.99  ncf('1.2.1',plain,[apart_point_and_line(intersection_point(327 ^ [], 328 ^ []), 326 ^ []), -(distinct_points(intersection_point(327 ^ [], 328 ^ []), intersection_point(325 ^ [], 326 ^ []))), -(apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 326 ^ []))],extension(84 ^ 2,bind([[_58209, _58211, _58213], [intersection_point(325 ^ [], 326 ^ []), 326 ^ [], intersection_point(327 ^ [], 328 ^ [])]]))).
% 102.03/98.99  ncf('1.2.1.1',plain,[distinct_points(intersection_point(327 ^ [], 328 ^ []), intersection_point(325 ^ [], 326 ^ [])), distinct_lines(328 ^ [], 327 ^ []), -(apart_point_and_line(intersection_point(327 ^ [], 328 ^ []), 328 ^ [])), -(apart_point_and_line(intersection_point(327 ^ [], 328 ^ []), 327 ^ [])), -(apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 328 ^ [])), -(apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 327 ^ []))],extension(62 ^ 3,bind([[_57580, _57582, _57584, _57586], [327 ^ [], 328 ^ [], intersection_point(325 ^ [], 326 ^ []), intersection_point(327 ^ [], 328 ^ [])]]))).
% 102.03/98.99  ncf('1.2.1.1.1',plain,[-(distinct_lines(328 ^ [], 327 ^ [])), convergent_lines(327 ^ [], 328 ^ []), -(convergent_lines(327 ^ [], 327 ^ []))],extension(104 ^ 4,bind([[_58837, _58839, _58841], [327 ^ [], 328 ^ [], 327 ^ []]]))).
% 102.03/98.99  ncf('1.2.1.1.1.1',plain,[-(convergent_lines(327 ^ [], 328 ^ []))],extension(332 ^ 5)).
% 102.03/98.99  ncf('1.2.1.1.1.2',plain,[convergent_lines(327 ^ [], 327 ^ [])],extension(6 ^ 5,bind([[_55605], [327 ^ []]]))).
% 102.03/98.99  ncf('1.2.1.1.2',plain,[apart_point_and_line(intersection_point(327 ^ [], 328 ^ []), 328 ^ []), convergent_lines(327 ^ [], 328 ^ [])],extension(56 ^ 4,bind([[_57335, _57337], [328 ^ [], 327 ^ []]]))).
% 102.03/98.99  ncf('1.2.1.1.2.1',plain,[-(convergent_lines(327 ^ [], 328 ^ []))],extension(332 ^ 5)).
% 102.03/98.99  ncf('1.2.1.1.3',plain,[apart_point_and_line(intersection_point(327 ^ [], 328 ^ []), 327 ^ []), convergent_lines(327 ^ [], 328 ^ [])],extension(50 ^ 4,bind([[_57118, _57120], [328 ^ [], 327 ^ []]]))).
% 102.03/98.99  ncf('1.2.1.1.3.1',plain,[-(convergent_lines(327 ^ [], 328 ^ []))],extension(332 ^ 5)).
% 102.03/98.99  ncf('1.2.1.1.4',plain,[apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 328 ^ []), incident_point_and_line(intersection_point(325 ^ [], 326 ^ []), 328 ^ [])],extension(302 ^ 4,bind([[_65289, _65291], [328 ^ [], intersection_point(325 ^ [], 326 ^ [])]]))).
% 102.03/98.99  ncf('1.2.1.1.4.1',plain,[-(incident_point_and_line(intersection_point(325 ^ [], 326 ^ []), 328 ^ []))],extension(336 ^ 5)).
% 102.03/98.99  ncf('1.2.1.1.5',plain,[apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 327 ^ []), incident_point_and_line(intersection_point(325 ^ [], 326 ^ []), 327 ^ [])],extension(302 ^ 4,bind([[_65289, _65291], [327 ^ [], intersection_point(325 ^ [], 326 ^ [])]]))).
% 102.03/98.99  ncf('1.2.1.1.5.1',plain,[-(incident_point_and_line(intersection_point(325 ^ [], 326 ^ []), 327 ^ []))],extension(334 ^ 5)).
% 102.03/98.99  ncf('1.2.1.2',plain,[apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 326 ^ []), convergent_lines(325 ^ [], 326 ^ [])],extension(56 ^ 3,bind([[_57335, _57337], [326 ^ [], 325 ^ []]]))).
% 102.03/98.99  ncf('1.2.1.2.1',plain,[-(convergent_lines(325 ^ [], 326 ^ []))],extension(330 ^ 4)).
% 102.03/98.99  %-----------------------------------------------------
% 102.03/98.99  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------