%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO184+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n008.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 0.35s 1.37s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GEO184+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n008.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 04:36:54 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.35/1.37  
% 0.35/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.35/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.37  %-----------------------------------------------------
% 0.35/1.37  ncf(matrix, plain, [(330 ^ _51421) ^ [] : [-(distinct_points(325 ^ [], 326 ^ []))], (332 ^ _51421) ^ [] : [-(convergent_lines(327 ^ [], 328 ^ []))], (334 ^ _51421) ^ [] : [-(incident_point_and_line(325 ^ [], 327 ^ []))], (336 ^ _51421) ^ [] : [-(incident_point_and_line(326 ^ [], 327 ^ []))], (338 ^ _51421) ^ [] : [equal_lines(327 ^ [], line_connecting(325 ^ [], 326 ^ []))], (2 ^ _51421) ^ [_51524] : [distinct_points(_51524, _51524)], (4 ^ _51421) ^ [_51601] : [distinct_lines(_51601, _51601)], (6 ^ _51421) ^ [_51678] : [convergent_lines(_51678, _51678)], (8 ^ _51421) ^ [_51799, _51801, _51803] : [distinct_points(_51803, _51801), -(distinct_points(_51803, _51799)), -(distinct_points(_51801, _51799))], (18 ^ _51421) ^ [_52123, _52125, _52127] : [distinct_lines(_52127, _52125), -(distinct_lines(_52127, _52123)), -(distinct_lines(_52125, _52123))], (28 ^ _51421) ^ [_52447, _52449, _52451] : [convergent_lines(_52451, _52449), -(convergent_lines(_52451, _52447)), -(convergent_lines(_52449, _52447))], (38 ^ _51421) ^ [_52757, _52759] : [distinct_points(_52759, _52757), apart_point_and_line(_52759, line_connecting(_52759, _52757))], (44 ^ _51421) ^ [_52974, _52976] : [distinct_points(_52976, _52974), apart_point_and_line(_52974, line_connecting(_52976, _52974))], (50 ^ _51421) ^ [_53191, _53193] : [convergent_lines(_53193, _53191), apart_point_and_line(intersection_point(_53193, _53191), _53193)], (56 ^ _51421) ^ [_53408, _53410] : [convergent_lines(_53410, _53408), apart_point_and_line(intersection_point(_53410, _53408), _53408)], (62 ^ _51421) ^ [_53653, _53655, _53657, _53659] : [distinct_points(_53659, _53657), distinct_lines(_53655, _53653), -(apart_point_and_line(_53659, _53655)), -(apart_point_and_line(_53659, _53653)), -(apart_point_and_line(_53657, _53655)), -(apart_point_and_line(_53657, _53653))], (84 ^ _51421) ^ [_54282, _54284, _54286] : [apart_point_and_line(_54286, _54284), -(distinct_points(_54286, _54282)), -(apart_point_and_line(_54282, _54284))], (94 ^ _51421) ^ [_54606, _54608, _54610] : [apart_point_and_line(_54610, _54608), -(distinct_lines(_54608, _54606)), -(apart_point_and_line(_54610, _54606))], (104 ^ _51421) ^ [_54910, _54912, _54914] : [convergent_lines(_54914, _54912), -(distinct_lines(_54912, _54910)), -(convergent_lines(_54914, _54910))], (114 ^ _51421) ^ [_55246, _55248] : [distinct_lines(_55248, _55246), -(convergent_lines(_55248, _55246))], (120 ^ _51421) ^ [_55460, _55462] : [convergent_lines(parallel_through_point(_55460, _55462), _55460)], (122 ^ _51421) ^ [_55556, _55558] : [apart_point_and_line(_55558, parallel_through_point(_55556, _55558))], (124 ^ _51421) ^ [_55662, _55664, _55666] : [distinct_lines(_55664, _55662), -(apart_point_and_line(_55666, _55664)), -(apart_point_and_line(_55666, _55662)), -(convergent_lines(_55664, _55662))], (138 ^ _51421) ^ [_56090, _56092] : [-(convergent_lines(_56092, _56090)), -(unorthogonal_lines(_56092, _56090))], (144 ^ _51421) ^ [_56315, _56317, _56319] : [convergent_lines(_56319, _56317), unorthogonal_lines(_56319, _56317), 153 ^ _51421 : [(154 ^ _51421) ^ [] : [-(convergent_lines(_56319, _56315))], (156 ^ _51421) ^ [] : [-(unorthogonal_lines(_56319, _56315))]], 157 ^ _51421 : [(158 ^ _51421) ^ [] : [-(convergent_lines(_56317, _56315))], (160 ^ _51421) ^ [] : [-(unorthogonal_lines(_56317, _56315))]]], (162 ^ _51421) ^ [_56858, _56860] : [unorthogonal_lines(orthogonal_through_point(_56858, _56860), _56858)], (164 ^ _51421) ^ [_56954, _56956] : [apart_point_and_line(_56956, orthogonal_through_point(_56954, _56956))], (166 ^ _51421) ^ [_57074, _57076, _57078, _57080] : [distinct_lines(_57078, _57076), -(apart_point_and_line(_57080, _57078)), -(apart_point_and_line(_57080, _57076)), -(unorthogonal_lines(_57078, _57074)), -(unorthogonal_lines(_57076, _57074))], (184 ^ _51421) ^ [_57618, _57620] : [-(convergent_lines(_57620, _57618)), -(unorthogonal_lines(_57620, _57618))], (208 ^ _51421) ^ [_58412, _58414, _58416] : [convergent_lines(_58414, _58412), -(unorthogonal_lines(_58416, _58414)), -(unorthogonal_lines(_58416, _58412))], (190 ^ _51421) ^ [_57847, _57849, _57851] : [193 ^ _51421 : [(194 ^ _51421) ^ [] : [-(convergent_lines(_57851, _57849))], (196 ^ _51421) ^ [] : [-(unorthogonal_lines(_57851, _57849))]], 197 ^ _51421 : [(198 ^ _51421) ^ [] : [-(convergent_lines(_57851, _57847))], (200 ^ _51421) ^ [] : [-(unorthogonal_lines(_57851, _57847))]], convergent_lines(_57849, _57847), unorthogonal_lines(_57849, _57847)], (218 ^ _51421) ^ [_58752, _58754] : [-(line(line_connecting(_58754, _58752))), point(_58754), point(_58752), distinct_points(_58754, _58752)], (232 ^ _51421) ^ [_59140, _59142] : [-(point(intersection_point(_59142, _59140))), line(_59142), line(_59140), convergent_lines(_59142, _59140)], (246 ^ _51421) ^ [_59528, _59530] : [-(line(parallel_through_point(_59530, _59528))), line(_59530), point(_59528)], (256 ^ _51421) ^ [_59807, _59809] : [-(line(orthogonal_through_point(_59809, _59807))), line(_59809), point(_59807)], (266 ^ _51421) ^ [_60141, _60143] : [equal_points(_60143, _60141), distinct_points(_60143, _60141)], (272 ^ _51421) ^ [_60304, _60306] : [-(distinct_points(_60306, _60304)), -(equal_points(_60306, _60304))], (278 ^ _51421) ^ [_60548, _60550] : [equal_lines(_60550, _60548), distinct_lines(_60550, _60548)], (284 ^ _51421) ^ [_60711, _60713] : [-(distinct_lines(_60713, _60711)), -(equal_lines(_60713, _60711))], (290 ^ _51421) ^ [_60955, _60957] : [parallel_lines(_60957, _60955), convergent_lines(_60957, _60955)], (296 ^ _51421) ^ [_61118, _61120] : [-(convergent_lines(_61120, _61118)), -(parallel_lines(_61120, _61118))], (302 ^ _51421) ^ [_61362, _61364] : [incident_point_and_line(_61364, _61362), apart_point_and_line(_61364, _61362)], (308 ^ _51421) ^ [_61525, _61527] : [-(apart_point_and_line(_61527, _61525)), -(incident_point_and_line(_61527, _61525))], (314 ^ _51421) ^ [_61749, _61751] : [orthogonal_lines(_61751, _61749), unorthogonal_lines(_61751, _61749)], (320 ^ _51421) ^ [_61912, _61914] : [-(unorthogonal_lines(_61914, _61912)), -(orthogonal_lines(_61914, _61912))]], input).
% 0.35/1.37  ncf('1',plain,[distinct_points(325 ^ [], 326 ^ []), apart_point_and_line(325 ^ [], line_connecting(325 ^ [], 326 ^ []))],start(38 ^ 0,bind([[_52757, _52759], [326 ^ [], 325 ^ []]]))).
% 0.35/1.37  ncf('1.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],extension(330 ^ 1)).
% 0.35/1.37  ncf('1.2',plain,[-(apart_point_and_line(325 ^ [], line_connecting(325 ^ [], 326 ^ []))), distinct_points(325 ^ [], 326 ^ []), distinct_lines(327 ^ [], line_connecting(325 ^ [], 326 ^ [])), -(apart_point_and_line(325 ^ [], 327 ^ [])), -(apart_point_and_line(326 ^ [], 327 ^ [])), -(apart_point_and_line(326 ^ [], line_connecting(325 ^ [], 326 ^ [])))],extension(62 ^ 1,bind([[_53653, _53655, _53657, _53659], [line_connecting(325 ^ [], 326 ^ []), 327 ^ [], 326 ^ [], 325 ^ []]]))).
% 0.35/1.37  ncf('1.2.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],extension(330 ^ 2)).
% 0.35/1.37  ncf('1.2.2',plain,[-(distinct_lines(327 ^ [], line_connecting(325 ^ [], 326 ^ []))), -(equal_lines(327 ^ [], line_connecting(325 ^ [], 326 ^ [])))],extension(284 ^ 2,bind([[_60711, _60713], [line_connecting(325 ^ [], 326 ^ []), 327 ^ []]]))).
% 0.35/1.37  ncf('1.2.2.1',plain,[equal_lines(327 ^ [], line_connecting(325 ^ [], 326 ^ []))],extension(338 ^ 3)).
% 0.35/1.37  ncf('1.2.3',plain,[apart_point_and_line(325 ^ [], 327 ^ []), incident_point_and_line(325 ^ [], 327 ^ [])],extension(302 ^ 2,bind([[_61362, _61364], [327 ^ [], 325 ^ []]]))).
% 0.35/1.37  ncf('1.2.3.1',plain,[-(incident_point_and_line(325 ^ [], 327 ^ []))],extension(334 ^ 3)).
% 0.35/1.37  ncf('1.2.4',plain,[apart_point_and_line(326 ^ [], 327 ^ []), incident_point_and_line(326 ^ [], 327 ^ [])],extension(302 ^ 2,bind([[_61362, _61364], [327 ^ [], 326 ^ []]]))).
% 0.35/1.37  ncf('1.2.4.1',plain,[-(incident_point_and_line(326 ^ [], 327 ^ []))],extension(336 ^ 3)).
% 0.35/1.37  ncf('1.2.5',plain,[apart_point_and_line(326 ^ [], line_connecting(325 ^ [], 326 ^ [])), distinct_points(325 ^ [], 326 ^ [])],extension(44 ^ 2,bind([[_52974, _52976], [326 ^ [], 325 ^ []]]))).
% 0.35/1.37  ncf('1.2.5.1',plain,[-(distinct_points(325 ^ [], 326 ^ []))],lemmata('[1].x')).
% 0.35/1.37  %-----------------------------------------------------
% 0.35/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------