%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO182+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n019.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 11:12:06 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
% 0.03/0.12  % Problem  : GEO182+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n019.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 04:17:42 EDT 2023
% 0.12/0.34  % 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 ^ _50471) ^ [] : [-(distinct_points(325 ^ [], 326 ^ []))], (331 ^ _50471) ^ [] : [-(apart_point_and_line(327 ^ [], line_connecting(325 ^ [], 326 ^ [])))], (333 ^ _50471) ^ [] : [apart_point_and_line(327 ^ [], line_connecting(326 ^ [], 325 ^ []))], (2 ^ _50471) ^ [_50574] : [distinct_points(_50574, _50574)], (4 ^ _50471) ^ [_50651] : [distinct_lines(_50651, _50651)], (6 ^ _50471) ^ [_50728] : [convergent_lines(_50728, _50728)], (8 ^ _50471) ^ [_50849, _50851, _50853] : [distinct_points(_50853, _50851), -(distinct_points(_50853, _50849)), -(distinct_points(_50851, _50849))], (18 ^ _50471) ^ [_51173, _51175, _51177] : [distinct_lines(_51177, _51175), -(distinct_lines(_51177, _51173)), -(distinct_lines(_51175, _51173))], (28 ^ _50471) ^ [_51497, _51499, _51501] : [convergent_lines(_51501, _51499), -(convergent_lines(_51501, _51497)), -(convergent_lines(_51499, _51497))], (38 ^ _50471) ^ [_51807, _51809] : [distinct_points(_51809, _51807), apart_point_and_line(_51809, line_connecting(_51809, _51807))], (44 ^ _50471) ^ [_52024, _52026] : [distinct_points(_52026, _52024), apart_point_and_line(_52024, line_connecting(_52026, _52024))], (50 ^ _50471) ^ [_52241, _52243] : [convergent_lines(_52243, _52241), apart_point_and_line(intersection_point(_52243, _52241), _52243)], (56 ^ _50471) ^ [_52458, _52460] : [convergent_lines(_52460, _52458), apart_point_and_line(intersection_point(_52460, _52458), _52458)], (62 ^ _50471) ^ [_52703, _52705, _52707, _52709] : [distinct_points(_52709, _52707), distinct_lines(_52705, _52703), -(apart_point_and_line(_52709, _52705)), -(apart_point_and_line(_52709, _52703)), -(apart_point_and_line(_52707, _52705)), -(apart_point_and_line(_52707, _52703))], (84 ^ _50471) ^ [_53332, _53334, _53336] : [apart_point_and_line(_53336, _53334), -(distinct_points(_53336, _53332)), -(apart_point_and_line(_53332, _53334))], (94 ^ _50471) ^ [_53656, _53658, _53660] : [apart_point_and_line(_53660, _53658), -(distinct_lines(_53658, _53656)), -(apart_point_and_line(_53660, _53656))], (104 ^ _50471) ^ [_53960, _53962, _53964] : [convergent_lines(_53964, _53962), -(distinct_lines(_53962, _53960)), -(convergent_lines(_53964, _53960))], (114 ^ _50471) ^ [_54296, _54298] : [distinct_lines(_54298, _54296), -(convergent_lines(_54298, _54296))], (120 ^ _50471) ^ [_54510, _54512] : [convergent_lines(parallel_through_point(_54510, _54512), _54510)], (122 ^ _50471) ^ [_54606, _54608] : [apart_point_and_line(_54608, parallel_through_point(_54606, _54608))], (124 ^ _50471) ^ [_54712, _54714, _54716] : [distinct_lines(_54714, _54712), -(apart_point_and_line(_54716, _54714)), -(apart_point_and_line(_54716, _54712)), -(convergent_lines(_54714, _54712))], (138 ^ _50471) ^ [_55140, _55142] : [-(convergent_lines(_55142, _55140)), -(unorthogonal_lines(_55142, _55140))], (144 ^ _50471) ^ [_55365, _55367, _55369] : [convergent_lines(_55369, _55367), unorthogonal_lines(_55369, _55367), 153 ^ _50471 : [(154 ^ _50471) ^ [] : [-(convergent_lines(_55369, _55365))], (156 ^ _50471) ^ [] : [-(unorthogonal_lines(_55369, _55365))]], 157 ^ _50471 : [(158 ^ _50471) ^ [] : [-(convergent_lines(_55367, _55365))], (160 ^ _50471) ^ [] : [-(unorthogonal_lines(_55367, _55365))]]], (162 ^ _50471) ^ [_55908, _55910] : [unorthogonal_lines(orthogonal_through_point(_55908, _55910), _55908)], (164 ^ _50471) ^ [_56004, _56006] : [apart_point_and_line(_56006, orthogonal_through_point(_56004, _56006))], (166 ^ _50471) ^ [_56124, _56126, _56128, _56130] : [distinct_lines(_56128, _56126), -(apart_point_and_line(_56130, _56128)), -(apart_point_and_line(_56130, _56126)), -(unorthogonal_lines(_56128, _56124)), -(unorthogonal_lines(_56126, _56124))], (184 ^ _50471) ^ [_56668, _56670] : [-(convergent_lines(_56670, _56668)), -(unorthogonal_lines(_56670, _56668))], (208 ^ _50471) ^ [_57462, _57464, _57466] : [convergent_lines(_57464, _57462), -(unorthogonal_lines(_57466, _57464)), -(unorthogonal_lines(_57466, _57462))], (190 ^ _50471) ^ [_56897, _56899, _56901] : [193 ^ _50471 : [(194 ^ _50471) ^ [] : [-(convergent_lines(_56901, _56899))], (196 ^ _50471) ^ [] : [-(unorthogonal_lines(_56901, _56899))]], 197 ^ _50471 : [(198 ^ _50471) ^ [] : [-(convergent_lines(_56901, _56897))], (200 ^ _50471) ^ [] : [-(unorthogonal_lines(_56901, _56897))]], convergent_lines(_56899, _56897), unorthogonal_lines(_56899, _56897)], (218 ^ _50471) ^ [_57802, _57804] : [-(line(line_connecting(_57804, _57802))), point(_57804), point(_57802), distinct_points(_57804, _57802)], (232 ^ _50471) ^ [_58190, _58192] : [-(point(intersection_point(_58192, _58190))), line(_58192), line(_58190), convergent_lines(_58192, _58190)], (246 ^ _50471) ^ [_58578, _58580] : [-(line(parallel_through_point(_58580, _58578))), line(_58580), point(_58578)], (256 ^ _50471) ^ [_58857, _58859] : [-(line(orthogonal_through_point(_58859, _58857))), line(_58859), point(_58857)], (266 ^ _50471) ^ [_59191, _59193] : [equal_points(_59193, _59191), distinct_points(_59193, _59191)], (272 ^ _50471) ^ [_59354, _59356] : [-(distinct_points(_59356, _59354)), -(equal_points(_59356, _59354))], (278 ^ _50471) ^ [_59598, _59600] : [equal_lines(_59600, _59598), distinct_lines(_59600, _59598)], (284 ^ _50471) ^ [_59761, _59763] : [-(distinct_lines(_59763, _59761)), -(equal_lines(_59763, _59761))], (290 ^ _50471) ^ [_60005, _60007] : [parallel_lines(_60007, _60005), convergent_lines(_60007, _60005)], (296 ^ _50471) ^ [_60168, _60170] : [-(convergent_lines(_60170, _60168)), -(parallel_lines(_60170, _60168))], (302 ^ _50471) ^ [_60412, _60414] : [incident_point_and_line(_60414, _60412), apart_point_and_line(_60414, _60412)], (308 ^ _50471) ^ [_60575, _60577] : [-(apart_point_and_line(_60577, _60575)), -(incident_point_and_line(_60577, _60575))], (314 ^ _50471) ^ [_60799, _60801] : [orthogonal_lines(_60801, _60799), unorthogonal_lines(_60801, _60799)], (320 ^ _50471) ^ [_60962, _60964] : [-(unorthogonal_lines(_60964, _60962)), -(orthogonal_lines(_60964, _60962))]], input).
% 0.34/1.38  ncf('1',plain,[distinct_points(325 ^ [], 325 ^ [])],start(2 ^ 0,bind([[_50574], [325 ^ []]]))).
% 0.34/1.38  ncf('1.1',plain,[-(distinct_points(325 ^ [], 325 ^ [])), distinct_points(325 ^ [], 326 ^ []), -(distinct_points(326 ^ [], 325 ^ []))],extension(8 ^ 1,bind([[_50849, _50851, _50853], [325 ^ [], 326 ^ [], 325 ^ []]]))).
% 0.34/1.38  ncf('1.1.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],extension(329 ^ 2)).
% 0.34/1.38  ncf('1.1.2',plain,[distinct_points(326 ^ [], 325 ^ []), distinct_lines(line_connecting(325 ^ [], 326 ^ []), line_connecting(326 ^ [], 325 ^ [])), -(apart_point_and_line(326 ^ [], line_connecting(325 ^ [], 326 ^ []))), -(apart_point_and_line(326 ^ [], line_connecting(326 ^ [], 325 ^ []))), -(apart_point_and_line(325 ^ [], line_connecting(325 ^ [], 326 ^ []))), -(apart_point_and_line(325 ^ [], line_connecting(326 ^ [], 325 ^ [])))],extension(62 ^ 2,bind([[_52703, _52705, _52707, _52709], [line_connecting(326 ^ [], 325 ^ []), line_connecting(325 ^ [], 326 ^ []), 325 ^ [], 326 ^ []]]))).
% 0.34/1.38  ncf('1.1.2.1',plain,[-(distinct_lines(line_connecting(325 ^ [], 326 ^ []), line_connecting(326 ^ [], 325 ^ []))), apart_point_and_line(327 ^ [], line_connecting(325 ^ [], 326 ^ [])), -(apart_point_and_line(327 ^ [], line_connecting(326 ^ [], 325 ^ [])))],extension(94 ^ 3,bind([[_53656, _53658, _53660], [line_connecting(326 ^ [], 325 ^ []), line_connecting(325 ^ [], 326 ^ []), 327 ^ []]]))).
% 0.34/1.38  ncf('1.1.2.1.1',plain,[-(apart_point_and_line(327 ^ [], line_connecting(325 ^ [], 326 ^ [])))],extension(331 ^ 4)).
% 0.34/1.38  ncf('1.1.2.1.2',plain,[apart_point_and_line(327 ^ [], line_connecting(326 ^ [], 325 ^ []))],extension(333 ^ 4)).
% 0.34/1.38  ncf('1.1.2.2',plain,[apart_point_and_line(326 ^ [], line_connecting(325 ^ [], 326 ^ [])), distinct_points(325 ^ [], 326 ^ [])],extension(44 ^ 3,bind([[_52024, _52026], [326 ^ [], 325 ^ []]]))).
% 0.34/1.38  ncf('1.1.2.2.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],lemmata('[1].x')).
% 0.34/1.38  ncf('1.1.2.3',plain,[apart_point_and_line(326 ^ [], line_connecting(326 ^ [], 325 ^ [])), distinct_points(326 ^ [], 325 ^ [])],extension(38 ^ 3,bind([[_51807, _51809], [325 ^ [], 326 ^ []]]))).
% 0.34/1.38  ncf('1.1.2.3.1',plain,[-(distinct_points(326 ^ [], 325 ^ []))],reduction('1.1')).
% 0.34/1.38  ncf('1.1.2.4',plain,[apart_point_and_line(325 ^ [], line_connecting(325 ^ [], 326 ^ [])), distinct_points(325 ^ [], 326 ^ [])],extension(38 ^ 3,bind([[_51807, _51809], [326 ^ [], 325 ^ []]]))).
% 0.34/1.38  ncf('1.1.2.4.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],lemmata('[1].x')).
% 0.34/1.38  ncf('1.1.2.5',plain,[apart_point_and_line(325 ^ [], line_connecting(326 ^ [], 325 ^ [])), distinct_points(326 ^ [], 325 ^ [])],extension(44 ^ 3,bind([[_52024, _52026], [325 ^ [], 326 ^ []]]))).
% 0.34/1.38  ncf('1.1.2.5.1',plain,[-(distinct_points(326 ^ [], 325 ^ []))],reduction('1.1')).
% 0.34/1.38  %-----------------------------------------------------
% 0.34/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------