%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO204+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n023.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 11:12:12 EDT 2023

% Result   : Theorem 3.94s 4.47s
% Output   : Proof 3.94s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : GEO204+3 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri May 19 04:50:44 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 3.94/4.47  
% 3.94/4.47  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 3.94/4.47  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.94/4.47  %-----------------------------------------------------
% 3.94/4.47  ncf(matrix, plain, [(329 ^ _51632) ^ [] : [-(distinct_points(325 ^ [], 326 ^ []))], (331 ^ _51632) ^ [] : [-(equal_points(326 ^ [], 327 ^ []))], (333 ^ _51632) ^ [] : [distinct_points(325 ^ [], 327 ^ []), equal_lines(line_connecting(325 ^ [], 326 ^ []), line_connecting(325 ^ [], 327 ^ []))], (2 ^ _51632) ^ [_51735] : [distinct_points(_51735, _51735)], (4 ^ _51632) ^ [_51812] : [distinct_lines(_51812, _51812)], (6 ^ _51632) ^ [_51889] : [convergent_lines(_51889, _51889)], (8 ^ _51632) ^ [_52010, _52012, _52014] : [distinct_points(_52014, _52012), -(distinct_points(_52014, _52010)), -(distinct_points(_52012, _52010))], (18 ^ _51632) ^ [_52334, _52336, _52338] : [distinct_lines(_52338, _52336), -(distinct_lines(_52338, _52334)), -(distinct_lines(_52336, _52334))], (28 ^ _51632) ^ [_52658, _52660, _52662] : [convergent_lines(_52662, _52660), -(convergent_lines(_52662, _52658)), -(convergent_lines(_52660, _52658))], (38 ^ _51632) ^ [_52968, _52970] : [distinct_points(_52970, _52968), apart_point_and_line(_52970, line_connecting(_52970, _52968))], (44 ^ _51632) ^ [_53185, _53187] : [distinct_points(_53187, _53185), apart_point_and_line(_53185, line_connecting(_53187, _53185))], (50 ^ _51632) ^ [_53402, _53404] : [convergent_lines(_53404, _53402), apart_point_and_line(intersection_point(_53404, _53402), _53404)], (56 ^ _51632) ^ [_53619, _53621] : [convergent_lines(_53621, _53619), apart_point_and_line(intersection_point(_53621, _53619), _53619)], (62 ^ _51632) ^ [_53864, _53866, _53868, _53870] : [distinct_points(_53870, _53868), distinct_lines(_53866, _53864), -(apart_point_and_line(_53870, _53866)), -(apart_point_and_line(_53870, _53864)), -(apart_point_and_line(_53868, _53866)), -(apart_point_and_line(_53868, _53864))], (84 ^ _51632) ^ [_54493, _54495, _54497] : [apart_point_and_line(_54497, _54495), -(distinct_points(_54497, _54493)), -(apart_point_and_line(_54493, _54495))], (94 ^ _51632) ^ [_54817, _54819, _54821] : [apart_point_and_line(_54821, _54819), -(distinct_lines(_54819, _54817)), -(apart_point_and_line(_54821, _54817))], (104 ^ _51632) ^ [_55121, _55123, _55125] : [convergent_lines(_55125, _55123), -(distinct_lines(_55123, _55121)), -(convergent_lines(_55125, _55121))], (114 ^ _51632) ^ [_55457, _55459] : [distinct_lines(_55459, _55457), -(convergent_lines(_55459, _55457))], (120 ^ _51632) ^ [_55671, _55673] : [convergent_lines(parallel_through_point(_55671, _55673), _55671)], (122 ^ _51632) ^ [_55767, _55769] : [apart_point_and_line(_55769, parallel_through_point(_55767, _55769))], (124 ^ _51632) ^ [_55873, _55875, _55877] : [distinct_lines(_55875, _55873), -(apart_point_and_line(_55877, _55875)), -(apart_point_and_line(_55877, _55873)), -(convergent_lines(_55875, _55873))], (138 ^ _51632) ^ [_56301, _56303] : [-(convergent_lines(_56303, _56301)), -(unorthogonal_lines(_56303, _56301))], (144 ^ _51632) ^ [_56526, _56528, _56530] : [convergent_lines(_56530, _56528), unorthogonal_lines(_56530, _56528), 153 ^ _51632 : [(154 ^ _51632) ^ [] : [-(convergent_lines(_56530, _56526))], (156 ^ _51632) ^ [] : [-(unorthogonal_lines(_56530, _56526))]], 157 ^ _51632 : [(158 ^ _51632) ^ [] : [-(convergent_lines(_56528, _56526))], (160 ^ _51632) ^ [] : [-(unorthogonal_lines(_56528, _56526))]]], (162 ^ _51632) ^ [_57069, _57071] : [unorthogonal_lines(orthogonal_through_point(_57069, _57071), _57069)], (164 ^ _51632) ^ [_57165, _57167] : [apart_point_and_line(_57167, orthogonal_through_point(_57165, _57167))], (166 ^ _51632) ^ [_57285, _57287, _57289, _57291] : [distinct_lines(_57289, _57287), -(apart_point_and_line(_57291, _57289)), -(apart_point_and_line(_57291, _57287)), -(unorthogonal_lines(_57289, _57285)), -(unorthogonal_lines(_57287, _57285))], (184 ^ _51632) ^ [_57829, _57831] : [-(convergent_lines(_57831, _57829)), -(unorthogonal_lines(_57831, _57829))], (208 ^ _51632) ^ [_58623, _58625, _58627] : [convergent_lines(_58625, _58623), -(unorthogonal_lines(_58627, _58625)), -(unorthogonal_lines(_58627, _58623))], (190 ^ _51632) ^ [_58058, _58060, _58062] : [193 ^ _51632 : [(194 ^ _51632) ^ [] : [-(convergent_lines(_58062, _58060))], (196 ^ _51632) ^ [] : [-(unorthogonal_lines(_58062, _58060))]], 197 ^ _51632 : [(198 ^ _51632) ^ [] : [-(convergent_lines(_58062, _58058))], (200 ^ _51632) ^ [] : [-(unorthogonal_lines(_58062, _58058))]], convergent_lines(_58060, _58058), unorthogonal_lines(_58060, _58058)], (218 ^ _51632) ^ [_58963, _58965] : [-(line(line_connecting(_58965, _58963))), point(_58965), point(_58963), distinct_points(_58965, _58963)], (232 ^ _51632) ^ [_59351, _59353] : [-(point(intersection_point(_59353, _59351))), line(_59353), line(_59351), convergent_lines(_59353, _59351)], (246 ^ _51632) ^ [_59739, _59741] : [-(line(parallel_through_point(_59741, _59739))), line(_59741), point(_59739)], (256 ^ _51632) ^ [_60018, _60020] : [-(line(orthogonal_through_point(_60020, _60018))), line(_60020), point(_60018)], (266 ^ _51632) ^ [_60352, _60354] : [equal_points(_60354, _60352), distinct_points(_60354, _60352)], (272 ^ _51632) ^ [_60515, _60517] : [-(distinct_points(_60517, _60515)), -(equal_points(_60517, _60515))], (278 ^ _51632) ^ [_60759, _60761] : [equal_lines(_60761, _60759), distinct_lines(_60761, _60759)], (284 ^ _51632) ^ [_60922, _60924] : [-(distinct_lines(_60924, _60922)), -(equal_lines(_60924, _60922))], (290 ^ _51632) ^ [_61166, _61168] : [parallel_lines(_61168, _61166), convergent_lines(_61168, _61166)], (296 ^ _51632) ^ [_61329, _61331] : [-(convergent_lines(_61331, _61329)), -(parallel_lines(_61331, _61329))], (302 ^ _51632) ^ [_61573, _61575] : [incident_point_and_line(_61575, _61573), apart_point_and_line(_61575, _61573)], (308 ^ _51632) ^ [_61736, _61738] : [-(apart_point_and_line(_61738, _61736)), -(incident_point_and_line(_61738, _61736))], (314 ^ _51632) ^ [_61960, _61962] : [orthogonal_lines(_61962, _61960), unorthogonal_lines(_61962, _61960)], (320 ^ _51632) ^ [_62123, _62125] : [-(unorthogonal_lines(_62125, _62123)), -(orthogonal_lines(_62125, _62123))]], input).
% 3.94/4.47  ncf('1',plain,[apart_point_and_line(326 ^ [], parallel_through_point(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), 326 ^ []))],start(122 ^ 0,bind([[_55767, _55769], [orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), 326 ^ []]]))).
% 3.94/4.47  ncf('1.1',plain,[-(apart_point_and_line(326 ^ [], parallel_through_point(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), 326 ^ []))), apart_point_and_line(326 ^ [], orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ [])), -(distinct_lines(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), parallel_through_point(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), 326 ^ [])))],extension(94 ^ 1,bind([[_54817, _54819, _54821], [parallel_through_point(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), 326 ^ []), orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), 326 ^ []]]))).
% 3.94/4.47  ncf('1.1.1',plain,[-(apart_point_and_line(326 ^ [], orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []))), distinct_points(325 ^ [], 326 ^ []), distinct_lines(line_connecting(325 ^ [], 326 ^ []), orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ [])), -(apart_point_and_line(325 ^ [], line_connecting(325 ^ [], 326 ^ []))), -(apart_point_and_line(325 ^ [], orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []))), -(apart_point_and_line(326 ^ [], line_connecting(325 ^ [], 326 ^ [])))],extension(62 ^ 2,bind([[_53864, _53866, _53868, _53870], [orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), line_connecting(325 ^ [], 326 ^ []), 326 ^ [], 325 ^ []]]))).
% 3.94/4.47  ncf('1.1.1.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],extension(329 ^ 3)).
% 3.94/4.47  ncf('1.1.1.2',plain,[-(distinct_lines(line_connecting(325 ^ [], 326 ^ []), orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []))), convergent_lines(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), line_connecting(325 ^ [], 326 ^ [])), -(convergent_lines(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ [])))],extension(104 ^ 3,bind([[_55121, _55123, _55125], [orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), line_connecting(325 ^ [], 326 ^ []), orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ [])]]))).
% 3.94/4.47  ncf('1.1.1.2.1',plain,[-(convergent_lines(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), line_connecting(325 ^ [], 326 ^ []))), -(unorthogonal_lines(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), line_connecting(325 ^ [], 326 ^ [])))],extension(138 ^ 4,bind([[_56301, _56303], [line_connecting(325 ^ [], 326 ^ []), orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ [])]]))).
% 3.94/4.47  ncf('1.1.1.2.1.1',plain,[unorthogonal_lines(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), line_connecting(325 ^ [], 326 ^ []))],extension(162 ^ 5,bind([[_57069, _57071], [line_connecting(325 ^ [], 326 ^ []), 325 ^ []]]))).
% 3.94/4.47  ncf('1.1.1.2.2',plain,[convergent_lines(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []))],extension(6 ^ 4,bind([[_51889], [orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ [])]]))).
% 3.94/4.47  ncf('1.1.1.3',plain,[apart_point_and_line(325 ^ [], line_connecting(325 ^ [], 326 ^ [])), distinct_points(325 ^ [], 326 ^ [])],extension(38 ^ 3,bind([[_52968, _52970], [326 ^ [], 325 ^ []]]))).
% 3.94/4.47  ncf('1.1.1.3.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],extension(329 ^ 4)).
% 3.94/4.47  ncf('1.1.1.4',plain,[apart_point_and_line(325 ^ [], orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []))],extension(164 ^ 3,bind([[_57165, _57167], [line_connecting(325 ^ [], 326 ^ []), 325 ^ []]]))).
% 3.94/4.47  ncf('1.1.1.5',plain,[apart_point_and_line(326 ^ [], line_connecting(325 ^ [], 326 ^ [])), distinct_points(325 ^ [], 326 ^ [])],extension(44 ^ 3,bind([[_53185, _53187], [326 ^ [], 325 ^ []]]))).
% 3.94/4.47  ncf('1.1.1.5.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],lemmata('[1, 1].x')).
% 3.94/4.47  ncf('1.1.2',plain,[distinct_lines(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), parallel_through_point(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), 326 ^ [])), -(distinct_lines(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []))), -(distinct_lines(parallel_through_point(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), 326 ^ []), orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ [])))],extension(18 ^ 2,bind([[_52334, _52336, _52338], [orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), parallel_through_point(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), 326 ^ []), orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ [])]]))).
% 3.94/4.47  ncf('1.1.2.1',plain,[distinct_lines(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []))],extension(4 ^ 3,bind([[_51812], [orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ [])]]))).
% 3.94/4.47  ncf('1.1.2.2',plain,[distinct_lines(parallel_through_point(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), 326 ^ []), orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ [])), -(convergent_lines(parallel_through_point(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), 326 ^ []), orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ [])))],extension(114 ^ 3,bind([[_55457, _55459], [orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), parallel_through_point(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), 326 ^ [])]]))).
% 3.94/4.47  ncf('1.1.2.2.1',plain,[convergent_lines(parallel_through_point(orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), 326 ^ []), orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []))],extension(120 ^ 4,bind([[_55671, _55673], [orthogonal_through_point(line_connecting(325 ^ [], 326 ^ []), 325 ^ []), 326 ^ []]]))).
% 3.94/4.47  %-----------------------------------------------------
% 3.94/4.47  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------