%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO186+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n002.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 11:12:07 EDT 2023
% Result : Theorem 0.38s 1.38s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO186+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n002.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 04:12:35 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.38/1.38
% 0.38/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.38/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.38 %-----------------------------------------------------
% 0.38/1.38 ncf(matrix, plain, [(118 ^ _23152) ^ [] : [-(distinct_points(113 ^ [], 114 ^ []))], (120 ^ _23152) ^ [] : [-(convergent_lines(115 ^ [], 116 ^ []))], (122 ^ _23152) ^ [] : [apart_point_and_line(113 ^ [], 115 ^ [])], (124 ^ _23152) ^ [] : [apart_point_and_line(113 ^ [], 116 ^ [])], (126 ^ _23152) ^ [] : [-(distinct_points(113 ^ [], intersection_point(115 ^ [], 116 ^ [])))], (2 ^ _23152) ^ [_23235] : [distinct_points(_23235, _23235)], (4 ^ _23152) ^ [_23312] : [distinct_lines(_23312, _23312)], (6 ^ _23152) ^ [_23389] : [convergent_lines(_23389, _23389)], (8 ^ _23152) ^ [_23510, _23512, _23514] : [distinct_points(_23514, _23512), -(distinct_points(_23514, _23510)), -(distinct_points(_23512, _23510))], (18 ^ _23152) ^ [_23834, _23836, _23838] : [distinct_lines(_23838, _23836), -(distinct_lines(_23838, _23834)), -(distinct_lines(_23836, _23834))], (28 ^ _23152) ^ [_24158, _24160, _24162] : [convergent_lines(_24162, _24160), -(convergent_lines(_24162, _24158)), -(convergent_lines(_24160, _24158))], (38 ^ _23152) ^ [_24468, _24470] : [distinct_points(_24470, _24468), apart_point_and_line(_24470, line_connecting(_24470, _24468))], (44 ^ _23152) ^ [_24685, _24687] : [distinct_points(_24687, _24685), apart_point_and_line(_24685, line_connecting(_24687, _24685))], (50 ^ _23152) ^ [_24902, _24904] : [convergent_lines(_24904, _24902), apart_point_and_line(intersection_point(_24904, _24902), _24904)], (56 ^ _23152) ^ [_25119, _25121] : [convergent_lines(_25121, _25119), apart_point_and_line(intersection_point(_25121, _25119), _25119)], (62 ^ _23152) ^ [_25364, _25366, _25368, _25370] : [distinct_points(_25370, _25368), distinct_lines(_25366, _25364), -(apart_point_and_line(_25370, _25366)), -(apart_point_and_line(_25370, _25364)), -(apart_point_and_line(_25368, _25366)), -(apart_point_and_line(_25368, _25364))], (84 ^ _23152) ^ [_25993, _25995, _25997] : [apart_point_and_line(_25997, _25995), -(distinct_points(_25997, _25993)), -(apart_point_and_line(_25993, _25995))], (94 ^ _23152) ^ [_26317, _26319, _26321] : [apart_point_and_line(_26321, _26319), -(distinct_lines(_26319, _26317)), -(apart_point_and_line(_26321, _26317))], (104 ^ _23152) ^ [_26621, _26623, _26625] : [convergent_lines(_26625, _26623), -(distinct_lines(_26623, _26621)), -(convergent_lines(_26625, _26621))]], input).
% 0.38/1.38 ncf('1',plain,[convergent_lines(115 ^ [], 116 ^ []), apart_point_and_line(intersection_point(115 ^ [], 116 ^ []), 115 ^ [])],start(50 ^ 0,bind([[_24902, _24904], [116 ^ [], 115 ^ []]]))).
% 0.38/1.38 ncf('1.1',plain,[-(convergent_lines(115 ^ [], 116 ^ []))],extension(120 ^ 1)).
% 0.38/1.38 ncf('1.2',plain,[-(apart_point_and_line(intersection_point(115 ^ [], 116 ^ []), 115 ^ [])), distinct_points(intersection_point(115 ^ [], 116 ^ []), 113 ^ []), distinct_lines(116 ^ [], 115 ^ []), -(apart_point_and_line(intersection_point(115 ^ [], 116 ^ []), 116 ^ [])), -(apart_point_and_line(113 ^ [], 116 ^ [])), -(apart_point_and_line(113 ^ [], 115 ^ []))],extension(62 ^ 1,bind([[_25364, _25366, _25368, _25370], [115 ^ [], 116 ^ [], 113 ^ [], intersection_point(115 ^ [], 116 ^ [])]]))).
% 0.38/1.38 ncf('1.2.1',plain,[-(distinct_points(intersection_point(115 ^ [], 116 ^ []), 113 ^ [])), distinct_points(113 ^ [], intersection_point(115 ^ [], 116 ^ [])), -(distinct_points(113 ^ [], 113 ^ []))],extension(8 ^ 2,bind([[_23510, _23512, _23514], [113 ^ [], intersection_point(115 ^ [], 116 ^ []), 113 ^ []]]))).
% 0.38/1.38 ncf('1.2.1.1',plain,[-(distinct_points(113 ^ [], intersection_point(115 ^ [], 116 ^ [])))],extension(126 ^ 3)).
% 0.38/1.38 ncf('1.2.1.2',plain,[distinct_points(113 ^ [], 113 ^ [])],extension(2 ^ 3,bind([[_23235], [113 ^ []]]))).
% 0.38/1.38 ncf('1.2.2',plain,[-(distinct_lines(116 ^ [], 115 ^ [])), convergent_lines(115 ^ [], 116 ^ []), -(convergent_lines(115 ^ [], 115 ^ []))],extension(104 ^ 2,bind([[_26621, _26623, _26625], [115 ^ [], 116 ^ [], 115 ^ []]]))).
% 0.38/1.38 ncf('1.2.2.1',plain,[-(convergent_lines(115 ^ [], 116 ^ []))],extension(120 ^ 3)).
% 0.38/1.38 ncf('1.2.2.2',plain,[convergent_lines(115 ^ [], 115 ^ [])],extension(6 ^ 3,bind([[_23389], [115 ^ []]]))).
% 0.38/1.38 ncf('1.2.3',plain,[apart_point_and_line(intersection_point(115 ^ [], 116 ^ []), 116 ^ []), convergent_lines(115 ^ [], 116 ^ [])],extension(56 ^ 2,bind([[_25119, _25121], [116 ^ [], 115 ^ []]]))).
% 0.38/1.38 ncf('1.2.3.1',plain,[-(convergent_lines(115 ^ [], 116 ^ []))],lemmata('x')).
% 0.38/1.38 ncf('1.2.4',plain,[apart_point_and_line(113 ^ [], 116 ^ [])],extension(124 ^ 2)).
% 0.38/1.38 ncf('1.2.5',plain,[apart_point_and_line(113 ^ [], 115 ^ [])],extension(122 ^ 2)).
% 0.38/1.38 %-----------------------------------------------------
% 0.38/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------