%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO225+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n011.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 11:12:17 EDT 2023

% Result   : Theorem 0.32s 1.37s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GEO225+3 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n011.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 04:26:48 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.32/1.37  
% 0.32/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.32/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.37  %-----------------------------------------------------
% 0.32/1.37  ncf(matrix, plain, [(328 ^ _50624) ^ [] : [-(point(325 ^ []))], (330 ^ _50624) ^ [] : [-(point(326 ^ []))], (332 ^ _50624) ^ [] : [-(distinct_points(325 ^ [], 326 ^ []))], (334 ^ _50624) ^ [_61713] : [-(line(_61713))], (336 ^ _50624) ^ [_61771] : [incident_point_and_line(325 ^ [], _61771), incident_point_and_line(326 ^ [], _61771)], (2 ^ _50624) ^ [_50727] : [distinct_points(_50727, _50727)], (4 ^ _50624) ^ [_50804] : [distinct_lines(_50804, _50804)], (6 ^ _50624) ^ [_50881] : [convergent_lines(_50881, _50881)], (8 ^ _50624) ^ [_51002, _51004, _51006] : [distinct_points(_51006, _51004), -(distinct_points(_51006, _51002)), -(distinct_points(_51004, _51002))], (18 ^ _50624) ^ [_51326, _51328, _51330] : [distinct_lines(_51330, _51328), -(distinct_lines(_51330, _51326)), -(distinct_lines(_51328, _51326))], (28 ^ _50624) ^ [_51650, _51652, _51654] : [convergent_lines(_51654, _51652), -(convergent_lines(_51654, _51650)), -(convergent_lines(_51652, _51650))], (38 ^ _50624) ^ [_51960, _51962] : [distinct_points(_51962, _51960), apart_point_and_line(_51962, line_connecting(_51962, _51960))], (44 ^ _50624) ^ [_52177, _52179] : [distinct_points(_52179, _52177), apart_point_and_line(_52177, line_connecting(_52179, _52177))], (50 ^ _50624) ^ [_52394, _52396] : [convergent_lines(_52396, _52394), apart_point_and_line(intersection_point(_52396, _52394), _52396)], (56 ^ _50624) ^ [_52611, _52613] : [convergent_lines(_52613, _52611), apart_point_and_line(intersection_point(_52613, _52611), _52611)], (62 ^ _50624) ^ [_52856, _52858, _52860, _52862] : [distinct_points(_52862, _52860), distinct_lines(_52858, _52856), -(apart_point_and_line(_52862, _52858)), -(apart_point_and_line(_52862, _52856)), -(apart_point_and_line(_52860, _52858)), -(apart_point_and_line(_52860, _52856))], (84 ^ _50624) ^ [_53485, _53487, _53489] : [apart_point_and_line(_53489, _53487), -(distinct_points(_53489, _53485)), -(apart_point_and_line(_53485, _53487))], (94 ^ _50624) ^ [_53809, _53811, _53813] : [apart_point_and_line(_53813, _53811), -(distinct_lines(_53811, _53809)), -(apart_point_and_line(_53813, _53809))], (104 ^ _50624) ^ [_54113, _54115, _54117] : [convergent_lines(_54117, _54115), -(distinct_lines(_54115, _54113)), -(convergent_lines(_54117, _54113))], (114 ^ _50624) ^ [_54449, _54451] : [distinct_lines(_54451, _54449), -(convergent_lines(_54451, _54449))], (120 ^ _50624) ^ [_54663, _54665] : [convergent_lines(parallel_through_point(_54663, _54665), _54663)], (122 ^ _50624) ^ [_54759, _54761] : [apart_point_and_line(_54761, parallel_through_point(_54759, _54761))], (124 ^ _50624) ^ [_54865, _54867, _54869] : [distinct_lines(_54867, _54865), -(apart_point_and_line(_54869, _54867)), -(apart_point_and_line(_54869, _54865)), -(convergent_lines(_54867, _54865))], (138 ^ _50624) ^ [_55293, _55295] : [-(convergent_lines(_55295, _55293)), -(unorthogonal_lines(_55295, _55293))], (144 ^ _50624) ^ [_55518, _55520, _55522] : [convergent_lines(_55522, _55520), unorthogonal_lines(_55522, _55520), 153 ^ _50624 : [(154 ^ _50624) ^ [] : [-(convergent_lines(_55522, _55518))], (156 ^ _50624) ^ [] : [-(unorthogonal_lines(_55522, _55518))]], 157 ^ _50624 : [(158 ^ _50624) ^ [] : [-(convergent_lines(_55520, _55518))], (160 ^ _50624) ^ [] : [-(unorthogonal_lines(_55520, _55518))]]], (162 ^ _50624) ^ [_56061, _56063] : [unorthogonal_lines(orthogonal_through_point(_56061, _56063), _56061)], (164 ^ _50624) ^ [_56157, _56159] : [apart_point_and_line(_56159, orthogonal_through_point(_56157, _56159))], (166 ^ _50624) ^ [_56277, _56279, _56281, _56283] : [distinct_lines(_56281, _56279), -(apart_point_and_line(_56283, _56281)), -(apart_point_and_line(_56283, _56279)), -(unorthogonal_lines(_56281, _56277)), -(unorthogonal_lines(_56279, _56277))], (184 ^ _50624) ^ [_56821, _56823] : [-(convergent_lines(_56823, _56821)), -(unorthogonal_lines(_56823, _56821))], (208 ^ _50624) ^ [_57615, _57617, _57619] : [convergent_lines(_57617, _57615), -(unorthogonal_lines(_57619, _57617)), -(unorthogonal_lines(_57619, _57615))], (190 ^ _50624) ^ [_57050, _57052, _57054] : [193 ^ _50624 : [(194 ^ _50624) ^ [] : [-(convergent_lines(_57054, _57052))], (196 ^ _50624) ^ [] : [-(unorthogonal_lines(_57054, _57052))]], 197 ^ _50624 : [(198 ^ _50624) ^ [] : [-(convergent_lines(_57054, _57050))], (200 ^ _50624) ^ [] : [-(unorthogonal_lines(_57054, _57050))]], convergent_lines(_57052, _57050), unorthogonal_lines(_57052, _57050)], (218 ^ _50624) ^ [_57955, _57957] : [-(line(line_connecting(_57957, _57955))), point(_57957), point(_57955), distinct_points(_57957, _57955)], (232 ^ _50624) ^ [_58343, _58345] : [-(point(intersection_point(_58345, _58343))), line(_58345), line(_58343), convergent_lines(_58345, _58343)], (246 ^ _50624) ^ [_58731, _58733] : [-(line(parallel_through_point(_58733, _58731))), line(_58733), point(_58731)], (256 ^ _50624) ^ [_59010, _59012] : [-(line(orthogonal_through_point(_59012, _59010))), line(_59012), point(_59010)], (266 ^ _50624) ^ [_59344, _59346] : [equal_points(_59346, _59344), distinct_points(_59346, _59344)], (272 ^ _50624) ^ [_59507, _59509] : [-(distinct_points(_59509, _59507)), -(equal_points(_59509, _59507))], (278 ^ _50624) ^ [_59751, _59753] : [equal_lines(_59753, _59751), distinct_lines(_59753, _59751)], (284 ^ _50624) ^ [_59914, _59916] : [-(distinct_lines(_59916, _59914)), -(equal_lines(_59916, _59914))], (290 ^ _50624) ^ [_60158, _60160] : [parallel_lines(_60160, _60158), convergent_lines(_60160, _60158)], (296 ^ _50624) ^ [_60321, _60323] : [-(convergent_lines(_60323, _60321)), -(parallel_lines(_60323, _60321))], (302 ^ _50624) ^ [_60565, _60567] : [incident_point_and_line(_60567, _60565), apart_point_and_line(_60567, _60565)], (308 ^ _50624) ^ [_60728, _60730] : [-(apart_point_and_line(_60730, _60728)), -(incident_point_and_line(_60730, _60728))], (314 ^ _50624) ^ [_60952, _60954] : [orthogonal_lines(_60954, _60952), unorthogonal_lines(_60954, _60952)], (320 ^ _50624) ^ [_61115, _61117] : [-(unorthogonal_lines(_61117, _61115)), -(orthogonal_lines(_61117, _61115))]], input).
% 0.32/1.37  ncf('1',plain,[incident_point_and_line(325 ^ [], line_connecting(325 ^ [], 326 ^ [])), incident_point_and_line(326 ^ [], line_connecting(325 ^ [], 326 ^ []))],start(336 ^ 0,bind([[_61771], [line_connecting(325 ^ [], 326 ^ [])]]))).
% 0.32/1.37  ncf('1.1',plain,[-(incident_point_and_line(325 ^ [], line_connecting(325 ^ [], 326 ^ []))), -(apart_point_and_line(325 ^ [], line_connecting(325 ^ [], 326 ^ [])))],extension(308 ^ 1,bind([[_60728, _60730], [line_connecting(325 ^ [], 326 ^ []), 325 ^ []]]))).
% 0.32/1.37  ncf('1.1.1',plain,[apart_point_and_line(325 ^ [], line_connecting(325 ^ [], 326 ^ [])), distinct_points(325 ^ [], 326 ^ [])],extension(38 ^ 2,bind([[_51960, _51962], [326 ^ [], 325 ^ []]]))).
% 0.32/1.37  ncf('1.1.1.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],extension(332 ^ 3)).
% 0.32/1.37  ncf('1.2',plain,[-(incident_point_and_line(326 ^ [], line_connecting(325 ^ [], 326 ^ []))), -(apart_point_and_line(326 ^ [], line_connecting(325 ^ [], 326 ^ [])))],extension(308 ^ 1,bind([[_60728, _60730], [line_connecting(325 ^ [], 326 ^ []), 326 ^ []]]))).
% 0.32/1.37  ncf('1.2.1',plain,[apart_point_and_line(326 ^ [], line_connecting(325 ^ [], 326 ^ [])), distinct_points(325 ^ [], 326 ^ [])],extension(44 ^ 2,bind([[_52177, _52179], [326 ^ [], 325 ^ []]]))).
% 0.32/1.37  ncf('1.2.1.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],extension(332 ^ 3)).
% 0.32/1.37  %-----------------------------------------------------
% 0.32/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------