TSTP Solution File: GEO180+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO180+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n020.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 11:12:05 EDT 2023
% Result : Theorem 0.31s 1.38s
% Output : Proof 0.31s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO180+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n020.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 04:17:17 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.31/1.38
% 0.31/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.31/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/1.38 %-----------------------------------------------------
% 0.31/1.38 ncf(matrix, plain, [(117 ^ _22958) ^ [] : [-(distinct_points(113 ^ [], 114 ^ []))], (119 ^ _22958) ^ [] : [-(apart_point_and_line(115 ^ [], line_connecting(113 ^ [], 114 ^ [])))], (121 ^ _22958) ^ [] : [apart_point_and_line(113 ^ [], line_connecting(115 ^ [], 114 ^ []))], (2 ^ _22958) ^ [_23041] : [distinct_points(_23041, _23041)], (4 ^ _22958) ^ [_23118] : [distinct_lines(_23118, _23118)], (6 ^ _22958) ^ [_23195] : [convergent_lines(_23195, _23195)], (8 ^ _22958) ^ [_23316, _23318, _23320] : [distinct_points(_23320, _23318), -(distinct_points(_23320, _23316)), -(distinct_points(_23318, _23316))], (18 ^ _22958) ^ [_23640, _23642, _23644] : [distinct_lines(_23644, _23642), -(distinct_lines(_23644, _23640)), -(distinct_lines(_23642, _23640))], (28 ^ _22958) ^ [_23964, _23966, _23968] : [convergent_lines(_23968, _23966), -(convergent_lines(_23968, _23964)), -(convergent_lines(_23966, _23964))], (38 ^ _22958) ^ [_24274, _24276] : [distinct_points(_24276, _24274), apart_point_and_line(_24276, line_connecting(_24276, _24274))], (44 ^ _22958) ^ [_24491, _24493] : [distinct_points(_24493, _24491), apart_point_and_line(_24491, line_connecting(_24493, _24491))], (50 ^ _22958) ^ [_24708, _24710] : [convergent_lines(_24710, _24708), apart_point_and_line(intersection_point(_24710, _24708), _24710)], (56 ^ _22958) ^ [_24925, _24927] : [convergent_lines(_24927, _24925), apart_point_and_line(intersection_point(_24927, _24925), _24925)], (62 ^ _22958) ^ [_25170, _25172, _25174, _25176] : [distinct_points(_25176, _25174), distinct_lines(_25172, _25170), -(apart_point_and_line(_25176, _25172)), -(apart_point_and_line(_25176, _25170)), -(apart_point_and_line(_25174, _25172)), -(apart_point_and_line(_25174, _25170))], (84 ^ _22958) ^ [_25799, _25801, _25803] : [apart_point_and_line(_25803, _25801), -(distinct_points(_25803, _25799)), -(apart_point_and_line(_25799, _25801))], (94 ^ _22958) ^ [_26123, _26125, _26127] : [apart_point_and_line(_26127, _26125), -(distinct_lines(_26125, _26123)), -(apart_point_and_line(_26127, _26123))], (104 ^ _22958) ^ [_26427, _26429, _26431] : [convergent_lines(_26431, _26429), -(distinct_lines(_26429, _26427)), -(convergent_lines(_26431, _26427))]], input).
% 0.31/1.38 ncf('1',plain,[apart_point_and_line(113 ^ [], line_connecting(115 ^ [], 114 ^ []))],start(121 ^ 0)).
% 0.31/1.38 ncf('1.1',plain,[-(apart_point_and_line(113 ^ [], line_connecting(115 ^ [], 114 ^ []))), apart_point_and_line(114 ^ [], line_connecting(115 ^ [], 114 ^ [])), -(distinct_points(114 ^ [], 113 ^ []))],extension(84 ^ 1,bind([[_25799, _25801, _25803], [113 ^ [], line_connecting(115 ^ [], 114 ^ []), 114 ^ []]]))).
% 0.31/1.38 ncf('1.1.1',plain,[-(apart_point_and_line(114 ^ [], line_connecting(115 ^ [], 114 ^ []))), distinct_points(113 ^ [], 114 ^ []), distinct_lines(line_connecting(113 ^ [], 114 ^ []), line_connecting(115 ^ [], 114 ^ [])), -(apart_point_and_line(113 ^ [], line_connecting(113 ^ [], 114 ^ []))), -(apart_point_and_line(113 ^ [], line_connecting(115 ^ [], 114 ^ []))), -(apart_point_and_line(114 ^ [], line_connecting(113 ^ [], 114 ^ [])))],extension(62 ^ 2,bind([[_25170, _25172, _25174, _25176], [line_connecting(115 ^ [], 114 ^ []), line_connecting(113 ^ [], 114 ^ []), 114 ^ [], 113 ^ []]]))).
% 0.31/1.38 ncf('1.1.1.1',plain,[-(distinct_points(113 ^ [], 114 ^ []))],extension(117 ^ 3)).
% 0.31/1.38 ncf('1.1.1.2',plain,[-(distinct_lines(line_connecting(113 ^ [], 114 ^ []), line_connecting(115 ^ [], 114 ^ []))), apart_point_and_line(115 ^ [], line_connecting(113 ^ [], 114 ^ [])), -(apart_point_and_line(115 ^ [], line_connecting(115 ^ [], 114 ^ [])))],extension(94 ^ 3,bind([[_26123, _26125, _26127], [line_connecting(115 ^ [], 114 ^ []), line_connecting(113 ^ [], 114 ^ []), 115 ^ []]]))).
% 0.31/1.38 ncf('1.1.1.2.1',plain,[-(apart_point_and_line(115 ^ [], line_connecting(113 ^ [], 114 ^ [])))],extension(119 ^ 4)).
% 0.31/1.38 ncf('1.1.1.2.2',plain,[apart_point_and_line(115 ^ [], line_connecting(115 ^ [], 114 ^ [])), distinct_points(115 ^ [], 114 ^ [])],extension(38 ^ 4,bind([[_24274, _24276], [114 ^ [], 115 ^ []]]))).
% 0.31/1.38 ncf('1.1.1.2.2.1',plain,[-(distinct_points(115 ^ [], 114 ^ [])), apart_point_and_line(115 ^ [], line_connecting(115 ^ [], 114 ^ [])), -(apart_point_and_line(114 ^ [], line_connecting(115 ^ [], 114 ^ [])))],extension(84 ^ 5,bind([[_25799, _25801, _25803], [114 ^ [], line_connecting(115 ^ [], 114 ^ []), 115 ^ []]]))).
% 0.31/1.38 ncf('1.1.1.2.2.1.1',plain,[-(apart_point_and_line(115 ^ [], line_connecting(115 ^ [], 114 ^ [])))],reduction('1.1.1.2')).
% 0.31/1.38 ncf('1.1.1.2.2.1.2',plain,[apart_point_and_line(114 ^ [], line_connecting(115 ^ [], 114 ^ []))],reduction('1.1')).
% 0.31/1.38 ncf('1.1.1.3',plain,[apart_point_and_line(113 ^ [], line_connecting(113 ^ [], 114 ^ [])), distinct_points(113 ^ [], 114 ^ [])],extension(38 ^ 3,bind([[_24274, _24276], [114 ^ [], 113 ^ []]]))).
% 0.31/1.38 ncf('1.1.1.3.1',plain,[-(distinct_points(113 ^ [], 114 ^ []))],lemmata('[1, 1].x')).
% 0.31/1.38 ncf('1.1.1.4',plain,[apart_point_and_line(113 ^ [], line_connecting(115 ^ [], 114 ^ []))],reduction('1')).
% 0.31/1.38 ncf('1.1.1.5',plain,[apart_point_and_line(114 ^ [], line_connecting(113 ^ [], 114 ^ [])), distinct_points(113 ^ [], 114 ^ [])],extension(44 ^ 3,bind([[_24491, _24493], [114 ^ [], 113 ^ []]]))).
% 0.31/1.38 ncf('1.1.1.5.1',plain,[-(distinct_points(113 ^ [], 114 ^ []))],lemmata('[1, 1].x')).
% 0.31/1.38 ncf('1.1.2',plain,[distinct_points(114 ^ [], 113 ^ []), -(distinct_points(114 ^ [], 114 ^ [])), -(distinct_points(113 ^ [], 114 ^ []))],extension(8 ^ 2,bind([[_23316, _23318, _23320], [114 ^ [], 113 ^ [], 114 ^ []]]))).
% 0.31/1.38 ncf('1.1.2.1',plain,[distinct_points(114 ^ [], 114 ^ [])],extension(2 ^ 3,bind([[_23041], [114 ^ []]]))).
% 0.31/1.38 ncf('1.1.2.2',plain,[distinct_points(113 ^ [], 114 ^ []), apart_point_and_line(114 ^ [], line_connecting(113 ^ [], 114 ^ []))],extension(44 ^ 3,bind([[_24491, _24493], [114 ^ [], 113 ^ []]]))).
% 0.31/1.38 ncf('1.1.2.2.1',plain,[-(apart_point_and_line(114 ^ [], line_connecting(113 ^ [], 114 ^ []))), apart_point_and_line(115 ^ [], line_connecting(113 ^ [], 114 ^ [])), -(distinct_points(115 ^ [], 114 ^ []))],extension(84 ^ 4,bind([[_25799, _25801, _25803], [114 ^ [], line_connecting(113 ^ [], 114 ^ []), 115 ^ []]]))).
% 0.31/1.38 ncf('1.1.2.2.1.1',plain,[-(apart_point_and_line(115 ^ [], line_connecting(113 ^ [], 114 ^ [])))],extension(119 ^ 5)).
% 0.31/1.38 ncf('1.1.2.2.1.2',plain,[distinct_points(115 ^ [], 114 ^ []), apart_point_and_line(114 ^ [], line_connecting(115 ^ [], 114 ^ []))],extension(44 ^ 5,bind([[_24491, _24493], [114 ^ [], 115 ^ []]]))).
% 0.31/1.38 ncf('1.1.2.2.1.2.1',plain,[-(apart_point_and_line(114 ^ [], line_connecting(115 ^ [], 114 ^ [])))],lemmata('[1].x')).
% 0.31/1.38 %-----------------------------------------------------
% 0.31/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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