%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO203+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n020.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 0.34s 1.38s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GEO203+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri May 19 04:02:47 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.34/1.38  
% 0.34/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.38  %-----------------------------------------------------
% 0.34/1.38  ncf(matrix, plain, [(329 ^ _51120) ^ [] : [-(convergent_lines(325 ^ [], 326 ^ []))], (331 ^ _51120) ^ [] : [-(convergent_lines(325 ^ [], 327 ^ []))], (333 ^ _51120) ^ [] : [-(distinct_points(intersection_point(325 ^ [], 326 ^ []), intersection_point(325 ^ [], 327 ^ [])))], (335 ^ _51120) ^ [] : [equal_lines(line_connecting(intersection_point(325 ^ [], 326 ^ []), intersection_point(325 ^ [], 327 ^ [])), 325 ^ [])], (2 ^ _51120) ^ [_51223] : [distinct_points(_51223, _51223)], (4 ^ _51120) ^ [_51300] : [distinct_lines(_51300, _51300)], (6 ^ _51120) ^ [_51377] : [convergent_lines(_51377, _51377)], (8 ^ _51120) ^ [_51498, _51500, _51502] : [distinct_points(_51502, _51500), -(distinct_points(_51502, _51498)), -(distinct_points(_51500, _51498))], (18 ^ _51120) ^ [_51822, _51824, _51826] : [distinct_lines(_51826, _51824), -(distinct_lines(_51826, _51822)), -(distinct_lines(_51824, _51822))], (28 ^ _51120) ^ [_52146, _52148, _52150] : [convergent_lines(_52150, _52148), -(convergent_lines(_52150, _52146)), -(convergent_lines(_52148, _52146))], (38 ^ _51120) ^ [_52456, _52458] : [distinct_points(_52458, _52456), apart_point_and_line(_52458, line_connecting(_52458, _52456))], (44 ^ _51120) ^ [_52673, _52675] : [distinct_points(_52675, _52673), apart_point_and_line(_52673, line_connecting(_52675, _52673))], (50 ^ _51120) ^ [_52890, _52892] : [convergent_lines(_52892, _52890), apart_point_and_line(intersection_point(_52892, _52890), _52892)], (56 ^ _51120) ^ [_53107, _53109] : [convergent_lines(_53109, _53107), apart_point_and_line(intersection_point(_53109, _53107), _53107)], (62 ^ _51120) ^ [_53352, _53354, _53356, _53358] : [distinct_points(_53358, _53356), distinct_lines(_53354, _53352), -(apart_point_and_line(_53358, _53354)), -(apart_point_and_line(_53358, _53352)), -(apart_point_and_line(_53356, _53354)), -(apart_point_and_line(_53356, _53352))], (84 ^ _51120) ^ [_53981, _53983, _53985] : [apart_point_and_line(_53985, _53983), -(distinct_points(_53985, _53981)), -(apart_point_and_line(_53981, _53983))], (94 ^ _51120) ^ [_54305, _54307, _54309] : [apart_point_and_line(_54309, _54307), -(distinct_lines(_54307, _54305)), -(apart_point_and_line(_54309, _54305))], (104 ^ _51120) ^ [_54609, _54611, _54613] : [convergent_lines(_54613, _54611), -(distinct_lines(_54611, _54609)), -(convergent_lines(_54613, _54609))], (114 ^ _51120) ^ [_54945, _54947] : [distinct_lines(_54947, _54945), -(convergent_lines(_54947, _54945))], (120 ^ _51120) ^ [_55159, _55161] : [convergent_lines(parallel_through_point(_55159, _55161), _55159)], (122 ^ _51120) ^ [_55255, _55257] : [apart_point_and_line(_55257, parallel_through_point(_55255, _55257))], (124 ^ _51120) ^ [_55361, _55363, _55365] : [distinct_lines(_55363, _55361), -(apart_point_and_line(_55365, _55363)), -(apart_point_and_line(_55365, _55361)), -(convergent_lines(_55363, _55361))], (138 ^ _51120) ^ [_55789, _55791] : [-(convergent_lines(_55791, _55789)), -(unorthogonal_lines(_55791, _55789))], (144 ^ _51120) ^ [_56014, _56016, _56018] : [convergent_lines(_56018, _56016), unorthogonal_lines(_56018, _56016), 153 ^ _51120 : [(154 ^ _51120) ^ [] : [-(convergent_lines(_56018, _56014))], (156 ^ _51120) ^ [] : [-(unorthogonal_lines(_56018, _56014))]], 157 ^ _51120 : [(158 ^ _51120) ^ [] : [-(convergent_lines(_56016, _56014))], (160 ^ _51120) ^ [] : [-(unorthogonal_lines(_56016, _56014))]]], (162 ^ _51120) ^ [_56557, _56559] : [unorthogonal_lines(orthogonal_through_point(_56557, _56559), _56557)], (164 ^ _51120) ^ [_56653, _56655] : [apart_point_and_line(_56655, orthogonal_through_point(_56653, _56655))], (166 ^ _51120) ^ [_56773, _56775, _56777, _56779] : [distinct_lines(_56777, _56775), -(apart_point_and_line(_56779, _56777)), -(apart_point_and_line(_56779, _56775)), -(unorthogonal_lines(_56777, _56773)), -(unorthogonal_lines(_56775, _56773))], (184 ^ _51120) ^ [_57317, _57319] : [-(convergent_lines(_57319, _57317)), -(unorthogonal_lines(_57319, _57317))], (208 ^ _51120) ^ [_58111, _58113, _58115] : [convergent_lines(_58113, _58111), -(unorthogonal_lines(_58115, _58113)), -(unorthogonal_lines(_58115, _58111))], (190 ^ _51120) ^ [_57546, _57548, _57550] : [193 ^ _51120 : [(194 ^ _51120) ^ [] : [-(convergent_lines(_57550, _57548))], (196 ^ _51120) ^ [] : [-(unorthogonal_lines(_57550, _57548))]], 197 ^ _51120 : [(198 ^ _51120) ^ [] : [-(convergent_lines(_57550, _57546))], (200 ^ _51120) ^ [] : [-(unorthogonal_lines(_57550, _57546))]], convergent_lines(_57548, _57546), unorthogonal_lines(_57548, _57546)], (218 ^ _51120) ^ [_58451, _58453] : [-(line(line_connecting(_58453, _58451))), point(_58453), point(_58451), distinct_points(_58453, _58451)], (232 ^ _51120) ^ [_58839, _58841] : [-(point(intersection_point(_58841, _58839))), line(_58841), line(_58839), convergent_lines(_58841, _58839)], (246 ^ _51120) ^ [_59227, _59229] : [-(line(parallel_through_point(_59229, _59227))), line(_59229), point(_59227)], (256 ^ _51120) ^ [_59506, _59508] : [-(line(orthogonal_through_point(_59508, _59506))), line(_59508), point(_59506)], (266 ^ _51120) ^ [_59840, _59842] : [equal_points(_59842, _59840), distinct_points(_59842, _59840)], (272 ^ _51120) ^ [_60003, _60005] : [-(distinct_points(_60005, _60003)), -(equal_points(_60005, _60003))], (278 ^ _51120) ^ [_60247, _60249] : [equal_lines(_60249, _60247), distinct_lines(_60249, _60247)], (284 ^ _51120) ^ [_60410, _60412] : [-(distinct_lines(_60412, _60410)), -(equal_lines(_60412, _60410))], (290 ^ _51120) ^ [_60654, _60656] : [parallel_lines(_60656, _60654), convergent_lines(_60656, _60654)], (296 ^ _51120) ^ [_60817, _60819] : [-(convergent_lines(_60819, _60817)), -(parallel_lines(_60819, _60817))], (302 ^ _51120) ^ [_61061, _61063] : [incident_point_and_line(_61063, _61061), apart_point_and_line(_61063, _61061)], (308 ^ _51120) ^ [_61224, _61226] : [-(apart_point_and_line(_61226, _61224)), -(incident_point_and_line(_61226, _61224))], (314 ^ _51120) ^ [_61448, _61450] : [orthogonal_lines(_61450, _61448), unorthogonal_lines(_61450, _61448)], (320 ^ _51120) ^ [_61611, _61613] : [-(unorthogonal_lines(_61613, _61611)), -(orthogonal_lines(_61613, _61611))]], input).
% 0.34/1.38  ncf('1',plain,[distinct_points(intersection_point(325 ^ [], 326 ^ []), intersection_point(325 ^ [], 327 ^ [])), apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), line_connecting(intersection_point(325 ^ [], 326 ^ []), intersection_point(325 ^ [], 327 ^ [])))],start(38 ^ 0,bind([[_52456, _52458], [intersection_point(325 ^ [], 327 ^ []), intersection_point(325 ^ [], 326 ^ [])]]))).
% 0.34/1.38  ncf('1.1',plain,[-(distinct_points(intersection_point(325 ^ [], 326 ^ []), intersection_point(325 ^ [], 327 ^ [])))],extension(333 ^ 1)).
% 0.34/1.38  ncf('1.2',plain,[-(apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), line_connecting(intersection_point(325 ^ [], 326 ^ []), intersection_point(325 ^ [], 327 ^ [])))), distinct_points(intersection_point(325 ^ [], 326 ^ []), intersection_point(325 ^ [], 327 ^ [])), distinct_lines(line_connecting(intersection_point(325 ^ [], 326 ^ []), intersection_point(325 ^ [], 327 ^ [])), 325 ^ []), -(apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 325 ^ [])), -(apart_point_and_line(intersection_point(325 ^ [], 327 ^ []), line_connecting(intersection_point(325 ^ [], 326 ^ []), intersection_point(325 ^ [], 327 ^ [])))), -(apart_point_and_line(intersection_point(325 ^ [], 327 ^ []), 325 ^ []))],extension(62 ^ 1,bind([[_53352, _53354, _53356, _53358], [325 ^ [], line_connecting(intersection_point(325 ^ [], 326 ^ []), intersection_point(325 ^ [], 327 ^ [])), intersection_point(325 ^ [], 327 ^ []), intersection_point(325 ^ [], 326 ^ [])]]))).
% 0.34/1.38  ncf('1.2.1',plain,[-(distinct_points(intersection_point(325 ^ [], 326 ^ []), intersection_point(325 ^ [], 327 ^ [])))],extension(333 ^ 2)).
% 0.34/1.38  ncf('1.2.2',plain,[-(distinct_lines(line_connecting(intersection_point(325 ^ [], 326 ^ []), intersection_point(325 ^ [], 327 ^ [])), 325 ^ [])), -(equal_lines(line_connecting(intersection_point(325 ^ [], 326 ^ []), intersection_point(325 ^ [], 327 ^ [])), 325 ^ []))],extension(284 ^ 2,bind([[_60410, _60412], [325 ^ [], line_connecting(intersection_point(325 ^ [], 326 ^ []), intersection_point(325 ^ [], 327 ^ []))]]))).
% 0.34/1.38  ncf('1.2.2.1',plain,[equal_lines(line_connecting(intersection_point(325 ^ [], 326 ^ []), intersection_point(325 ^ [], 327 ^ [])), 325 ^ [])],extension(335 ^ 3)).
% 0.34/1.38  ncf('1.2.3',plain,[apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 325 ^ []), convergent_lines(325 ^ [], 326 ^ [])],extension(50 ^ 2,bind([[_52890, _52892], [326 ^ [], 325 ^ []]]))).
% 0.34/1.38  ncf('1.2.3.1',plain,[-(convergent_lines(325 ^ [], 326 ^ []))],extension(329 ^ 3)).
% 0.34/1.38  ncf('1.2.4',plain,[apart_point_and_line(intersection_point(325 ^ [], 327 ^ []), line_connecting(intersection_point(325 ^ [], 326 ^ []), intersection_point(325 ^ [], 327 ^ []))), distinct_points(intersection_point(325 ^ [], 326 ^ []), intersection_point(325 ^ [], 327 ^ []))],extension(44 ^ 2,bind([[_52673, _52675], [intersection_point(325 ^ [], 327 ^ []), intersection_point(325 ^ [], 326 ^ [])]]))).
% 0.34/1.38  ncf('1.2.4.1',plain,[-(distinct_points(intersection_point(325 ^ [], 326 ^ []), intersection_point(325 ^ [], 327 ^ [])))],lemmata('[1].x')).
% 0.34/1.38  ncf('1.2.5',plain,[apart_point_and_line(intersection_point(325 ^ [], 327 ^ []), 325 ^ []), convergent_lines(325 ^ [], 327 ^ [])],extension(50 ^ 2,bind([[_52890, _52892], [327 ^ [], 325 ^ []]]))).
% 0.34/1.38  ncf('1.2.5.1',plain,[-(convergent_lines(325 ^ [], 327 ^ []))],extension(331 ^ 3)).
% 0.34/1.38  %-----------------------------------------------------
% 0.34/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------