%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO191+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n001.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 11:12:08 EDT 2023

% Result   : Theorem 1.59s 2.41s
% Output   : Proof 1.59s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO191+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n001.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 04:49:51 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 1.59/2.41  
% 1.59/2.41  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 1.59/2.41  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.59/2.41  %-----------------------------------------------------
% 1.59/2.41  ncf(matrix, plain, [(340 ^ _53250) ^ [] : [apart_point_and_line(intersection_point(327 ^ [], 328 ^ []), 325 ^ [])], (342 ^ _53250) ^ [] : [apart_point_and_line(intersection_point(327 ^ [], 328 ^ []), 326 ^ [])], (330 ^ _53250) ^ [] : [-(convergent_lines(325 ^ [], 326 ^ []))], (332 ^ _53250) ^ [] : [-(convergent_lines(327 ^ [], 328 ^ []))], (334 ^ _53250) ^ [] : [-(apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 327 ^ [])), -(apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 328 ^ []))], (2 ^ _53250) ^ [_53353] : [distinct_points(_53353, _53353)], (4 ^ _53250) ^ [_53430] : [distinct_lines(_53430, _53430)], (6 ^ _53250) ^ [_53507] : [convergent_lines(_53507, _53507)], (8 ^ _53250) ^ [_53628, _53630, _53632] : [distinct_points(_53632, _53630), -(distinct_points(_53632, _53628)), -(distinct_points(_53630, _53628))], (18 ^ _53250) ^ [_53952, _53954, _53956] : [distinct_lines(_53956, _53954), -(distinct_lines(_53956, _53952)), -(distinct_lines(_53954, _53952))], (28 ^ _53250) ^ [_54276, _54278, _54280] : [convergent_lines(_54280, _54278), -(convergent_lines(_54280, _54276)), -(convergent_lines(_54278, _54276))], (38 ^ _53250) ^ [_54586, _54588] : [distinct_points(_54588, _54586), apart_point_and_line(_54588, line_connecting(_54588, _54586))], (44 ^ _53250) ^ [_54803, _54805] : [distinct_points(_54805, _54803), apart_point_and_line(_54803, line_connecting(_54805, _54803))], (50 ^ _53250) ^ [_55020, _55022] : [convergent_lines(_55022, _55020), apart_point_and_line(intersection_point(_55022, _55020), _55022)], (56 ^ _53250) ^ [_55237, _55239] : [convergent_lines(_55239, _55237), apart_point_and_line(intersection_point(_55239, _55237), _55237)], (62 ^ _53250) ^ [_55482, _55484, _55486, _55488] : [distinct_points(_55488, _55486), distinct_lines(_55484, _55482), -(apart_point_and_line(_55488, _55484)), -(apart_point_and_line(_55488, _55482)), -(apart_point_and_line(_55486, _55484)), -(apart_point_and_line(_55486, _55482))], (84 ^ _53250) ^ [_56111, _56113, _56115] : [apart_point_and_line(_56115, _56113), -(distinct_points(_56115, _56111)), -(apart_point_and_line(_56111, _56113))], (94 ^ _53250) ^ [_56435, _56437, _56439] : [apart_point_and_line(_56439, _56437), -(distinct_lines(_56437, _56435)), -(apart_point_and_line(_56439, _56435))], (104 ^ _53250) ^ [_56739, _56741, _56743] : [convergent_lines(_56743, _56741), -(distinct_lines(_56741, _56739)), -(convergent_lines(_56743, _56739))], (114 ^ _53250) ^ [_57075, _57077] : [distinct_lines(_57077, _57075), -(convergent_lines(_57077, _57075))], (120 ^ _53250) ^ [_57289, _57291] : [convergent_lines(parallel_through_point(_57289, _57291), _57289)], (122 ^ _53250) ^ [_57385, _57387] : [apart_point_and_line(_57387, parallel_through_point(_57385, _57387))], (124 ^ _53250) ^ [_57491, _57493, _57495] : [distinct_lines(_57493, _57491), -(apart_point_and_line(_57495, _57493)), -(apart_point_and_line(_57495, _57491)), -(convergent_lines(_57493, _57491))], (138 ^ _53250) ^ [_57919, _57921] : [-(convergent_lines(_57921, _57919)), -(unorthogonal_lines(_57921, _57919))], (144 ^ _53250) ^ [_58144, _58146, _58148] : [convergent_lines(_58148, _58146), unorthogonal_lines(_58148, _58146), 153 ^ _53250 : [(154 ^ _53250) ^ [] : [-(convergent_lines(_58148, _58144))], (156 ^ _53250) ^ [] : [-(unorthogonal_lines(_58148, _58144))]], 157 ^ _53250 : [(158 ^ _53250) ^ [] : [-(convergent_lines(_58146, _58144))], (160 ^ _53250) ^ [] : [-(unorthogonal_lines(_58146, _58144))]]], (162 ^ _53250) ^ [_58687, _58689] : [unorthogonal_lines(orthogonal_through_point(_58687, _58689), _58687)], (164 ^ _53250) ^ [_58783, _58785] : [apart_point_and_line(_58785, orthogonal_through_point(_58783, _58785))], (166 ^ _53250) ^ [_58903, _58905, _58907, _58909] : [distinct_lines(_58907, _58905), -(apart_point_and_line(_58909, _58907)), -(apart_point_and_line(_58909, _58905)), -(unorthogonal_lines(_58907, _58903)), -(unorthogonal_lines(_58905, _58903))], (184 ^ _53250) ^ [_59447, _59449] : [-(convergent_lines(_59449, _59447)), -(unorthogonal_lines(_59449, _59447))], (208 ^ _53250) ^ [_60241, _60243, _60245] : [convergent_lines(_60243, _60241), -(unorthogonal_lines(_60245, _60243)), -(unorthogonal_lines(_60245, _60241))], (190 ^ _53250) ^ [_59676, _59678, _59680] : [193 ^ _53250 : [(194 ^ _53250) ^ [] : [-(convergent_lines(_59680, _59678))], (196 ^ _53250) ^ [] : [-(unorthogonal_lines(_59680, _59678))]], 197 ^ _53250 : [(198 ^ _53250) ^ [] : [-(convergent_lines(_59680, _59676))], (200 ^ _53250) ^ [] : [-(unorthogonal_lines(_59680, _59676))]], convergent_lines(_59678, _59676), unorthogonal_lines(_59678, _59676)], (218 ^ _53250) ^ [_60581, _60583] : [-(line(line_connecting(_60583, _60581))), point(_60583), point(_60581), distinct_points(_60583, _60581)], (232 ^ _53250) ^ [_60969, _60971] : [-(point(intersection_point(_60971, _60969))), line(_60971), line(_60969), convergent_lines(_60971, _60969)], (246 ^ _53250) ^ [_61357, _61359] : [-(line(parallel_through_point(_61359, _61357))), line(_61359), point(_61357)], (256 ^ _53250) ^ [_61636, _61638] : [-(line(orthogonal_through_point(_61638, _61636))), line(_61638), point(_61636)], (266 ^ _53250) ^ [_61970, _61972] : [equal_points(_61972, _61970), distinct_points(_61972, _61970)], (272 ^ _53250) ^ [_62133, _62135] : [-(distinct_points(_62135, _62133)), -(equal_points(_62135, _62133))], (278 ^ _53250) ^ [_62377, _62379] : [equal_lines(_62379, _62377), distinct_lines(_62379, _62377)], (284 ^ _53250) ^ [_62540, _62542] : [-(distinct_lines(_62542, _62540)), -(equal_lines(_62542, _62540))], (290 ^ _53250) ^ [_62784, _62786] : [parallel_lines(_62786, _62784), convergent_lines(_62786, _62784)], (296 ^ _53250) ^ [_62947, _62949] : [-(convergent_lines(_62949, _62947)), -(parallel_lines(_62949, _62947))], (302 ^ _53250) ^ [_63191, _63193] : [incident_point_and_line(_63193, _63191), apart_point_and_line(_63193, _63191)], (308 ^ _53250) ^ [_63354, _63356] : [-(apart_point_and_line(_63356, _63354)), -(incident_point_and_line(_63356, _63354))], (314 ^ _53250) ^ [_63578, _63580] : [orthogonal_lines(_63580, _63578), unorthogonal_lines(_63580, _63578)], (320 ^ _53250) ^ [_63741, _63743] : [-(unorthogonal_lines(_63743, _63741)), -(orthogonal_lines(_63743, _63741))]], input).
% 1.59/2.41  ncf('1',plain,[apart_point_and_line(intersection_point(327 ^ [], 328 ^ []), 325 ^ [])],start(340 ^ 0)).
% 1.59/2.41  ncf('1.1',plain,[-(apart_point_and_line(intersection_point(327 ^ [], 328 ^ []), 325 ^ [])), distinct_points(intersection_point(325 ^ [], 326 ^ []), intersection_point(327 ^ [], 328 ^ [])), distinct_lines(325 ^ [], 326 ^ []), -(apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 325 ^ [])), -(apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 326 ^ [])), -(apart_point_and_line(intersection_point(327 ^ [], 328 ^ []), 326 ^ []))],extension(62 ^ 1,bind([[_55482, _55484, _55486, _55488], [326 ^ [], 325 ^ [], intersection_point(327 ^ [], 328 ^ []), intersection_point(325 ^ [], 326 ^ [])]]))).
% 1.59/2.41  ncf('1.1.1',plain,[-(distinct_points(intersection_point(325 ^ [], 326 ^ []), intersection_point(327 ^ [], 328 ^ []))), apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 327 ^ []), -(apart_point_and_line(intersection_point(327 ^ [], 328 ^ []), 327 ^ []))],extension(84 ^ 2,bind([[_56111, _56113, _56115], [intersection_point(327 ^ [], 328 ^ []), 327 ^ [], intersection_point(325 ^ [], 326 ^ [])]]))).
% 1.59/2.41  ncf('1.1.1.1',plain,[-(apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 327 ^ [])), -(apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 328 ^ []))],extension(334 ^ 3)).
% 1.59/2.41  ncf('1.1.1.1.1',plain,[apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 328 ^ []), -(distinct_points(intersection_point(325 ^ [], 326 ^ []), intersection_point(327 ^ [], 328 ^ []))), -(apart_point_and_line(intersection_point(327 ^ [], 328 ^ []), 328 ^ []))],extension(84 ^ 4,bind([[_56111, _56113, _56115], [intersection_point(327 ^ [], 328 ^ []), 328 ^ [], intersection_point(325 ^ [], 326 ^ [])]]))).
% 1.59/2.41  ncf('1.1.1.1.1.1',plain,[distinct_points(intersection_point(325 ^ [], 326 ^ []), intersection_point(327 ^ [], 328 ^ []))],reduction('1.1')).
% 1.59/2.41  ncf('1.1.1.1.1.2',plain,[apart_point_and_line(intersection_point(327 ^ [], 328 ^ []), 328 ^ []), convergent_lines(327 ^ [], 328 ^ [])],extension(56 ^ 5,bind([[_55237, _55239], [328 ^ [], 327 ^ []]]))).
% 1.59/2.41  ncf('1.1.1.1.1.2.1',plain,[-(convergent_lines(327 ^ [], 328 ^ []))],extension(332 ^ 6)).
% 1.59/2.41  ncf('1.1.1.2',plain,[apart_point_and_line(intersection_point(327 ^ [], 328 ^ []), 327 ^ []), convergent_lines(327 ^ [], 328 ^ [])],extension(50 ^ 3,bind([[_55020, _55022], [328 ^ [], 327 ^ []]]))).
% 1.59/2.41  ncf('1.1.1.2.1',plain,[-(convergent_lines(327 ^ [], 328 ^ []))],extension(332 ^ 4)).
% 1.59/2.41  ncf('1.1.2',plain,[-(distinct_lines(325 ^ [], 326 ^ [])), distinct_lines(325 ^ [], 326 ^ []), -(distinct_lines(326 ^ [], 326 ^ []))],extension(18 ^ 2,bind([[_53952, _53954, _53956], [326 ^ [], 326 ^ [], 325 ^ []]]))).
% 1.59/2.41  ncf('1.1.2.1',plain,[-(distinct_lines(325 ^ [], 326 ^ [])), distinct_lines(326 ^ [], 325 ^ []), -(distinct_lines(326 ^ [], 326 ^ []))],extension(18 ^ 3,bind([[_53952, _53954, _53956], [326 ^ [], 325 ^ [], 326 ^ []]]))).
% 1.59/2.41  ncf('1.1.2.1.1',plain,[-(distinct_lines(326 ^ [], 325 ^ [])), convergent_lines(325 ^ [], 326 ^ []), -(convergent_lines(325 ^ [], 325 ^ []))],extension(104 ^ 4,bind([[_56739, _56741, _56743], [325 ^ [], 326 ^ [], 325 ^ []]]))).
% 1.59/2.41  ncf('1.1.2.1.1.1',plain,[-(convergent_lines(325 ^ [], 326 ^ []))],extension(330 ^ 5)).
% 1.59/2.41  ncf('1.1.2.1.1.2',plain,[convergent_lines(325 ^ [], 325 ^ [])],extension(6 ^ 5,bind([[_53507], [325 ^ []]]))).
% 1.59/2.41  ncf('1.1.2.1.2',plain,[distinct_lines(326 ^ [], 326 ^ [])],extension(4 ^ 4,bind([[_53430], [326 ^ []]]))).
% 1.59/2.41  ncf('1.1.2.2',plain,[distinct_lines(326 ^ [], 326 ^ [])],extension(4 ^ 3,bind([[_53430], [326 ^ []]]))).
% 1.59/2.41  ncf('1.1.3',plain,[apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 325 ^ []), convergent_lines(325 ^ [], 326 ^ [])],extension(50 ^ 2,bind([[_55020, _55022], [326 ^ [], 325 ^ []]]))).
% 1.59/2.41  ncf('1.1.3.1',plain,[-(convergent_lines(325 ^ [], 326 ^ []))],extension(330 ^ 3)).
% 1.59/2.41  ncf('1.1.4',plain,[apart_point_and_line(intersection_point(325 ^ [], 326 ^ []), 326 ^ []), convergent_lines(325 ^ [], 326 ^ [])],extension(56 ^ 2,bind([[_55237, _55239], [326 ^ [], 325 ^ []]]))).
% 1.59/2.41  ncf('1.1.4.1',plain,[-(convergent_lines(325 ^ [], 326 ^ []))],extension(330 ^ 3)).
% 1.59/2.41  ncf('1.1.5',plain,[apart_point_and_line(intersection_point(327 ^ [], 328 ^ []), 326 ^ [])],extension(342 ^ 2)).
% 1.59/2.41  %-----------------------------------------------------
% 1.59/2.41  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------