TSTP Solution File: GEO182+1 by nanoCoP---2.0

View Problem - Process Solution

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% File     : nanoCoP---2.0
% Problem  : GEO182+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n032.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 0.19s 1.30s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : GEO182+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.07  % Command  : nanocop.sh %s %d
% 0.07/0.26  % Computer : n032.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Fri May 19 04:15:50 EDT 2023
% 0.07/0.26  % CPUTime  : 
% 0.19/1.30  
% 0.19/1.30  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.19/1.30  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/1.30  %-----------------------------------------------------
% 0.19/1.30  ncf(matrix, plain, [(117 ^ _22194) ^ [] : [-(distinct_points(113 ^ [], 114 ^ []))], (119 ^ _22194) ^ [] : [-(apart_point_and_line(115 ^ [], line_connecting(113 ^ [], 114 ^ [])))], (121 ^ _22194) ^ [] : [apart_point_and_line(115 ^ [], line_connecting(114 ^ [], 113 ^ []))], (2 ^ _22194) ^ [_22277] : [distinct_points(_22277, _22277)], (4 ^ _22194) ^ [_22354] : [distinct_lines(_22354, _22354)], (6 ^ _22194) ^ [_22431] : [convergent_lines(_22431, _22431)], (8 ^ _22194) ^ [_22552, _22554, _22556] : [distinct_points(_22556, _22554), -(distinct_points(_22556, _22552)), -(distinct_points(_22554, _22552))], (18 ^ _22194) ^ [_22876, _22878, _22880] : [distinct_lines(_22880, _22878), -(distinct_lines(_22880, _22876)), -(distinct_lines(_22878, _22876))], (28 ^ _22194) ^ [_23200, _23202, _23204] : [convergent_lines(_23204, _23202), -(convergent_lines(_23204, _23200)), -(convergent_lines(_23202, _23200))], (38 ^ _22194) ^ [_23510, _23512] : [distinct_points(_23512, _23510), apart_point_and_line(_23512, line_connecting(_23512, _23510))], (44 ^ _22194) ^ [_23727, _23729] : [distinct_points(_23729, _23727), apart_point_and_line(_23727, line_connecting(_23729, _23727))], (50 ^ _22194) ^ [_23944, _23946] : [convergent_lines(_23946, _23944), apart_point_and_line(intersection_point(_23946, _23944), _23946)], (56 ^ _22194) ^ [_24161, _24163] : [convergent_lines(_24163, _24161), apart_point_and_line(intersection_point(_24163, _24161), _24161)], (62 ^ _22194) ^ [_24406, _24408, _24410, _24412] : [distinct_points(_24412, _24410), distinct_lines(_24408, _24406), -(apart_point_and_line(_24412, _24408)), -(apart_point_and_line(_24412, _24406)), -(apart_point_and_line(_24410, _24408)), -(apart_point_and_line(_24410, _24406))], (84 ^ _22194) ^ [_25035, _25037, _25039] : [apart_point_and_line(_25039, _25037), -(distinct_points(_25039, _25035)), -(apart_point_and_line(_25035, _25037))], (94 ^ _22194) ^ [_25359, _25361, _25363] : [apart_point_and_line(_25363, _25361), -(distinct_lines(_25361, _25359)), -(apart_point_and_line(_25363, _25359))], (104 ^ _22194) ^ [_25663, _25665, _25667] : [convergent_lines(_25667, _25665), -(distinct_lines(_25665, _25663)), -(convergent_lines(_25667, _25663))]], input).
% 0.19/1.30  ncf('1',plain,[distinct_points(113 ^ [], 113 ^ [])],start(2 ^ 0,bind([[_22277], [113 ^ []]]))).
% 0.19/1.30  ncf('1.1',plain,[-(distinct_points(113 ^ [], 113 ^ [])), distinct_points(113 ^ [], 114 ^ []), -(distinct_points(114 ^ [], 113 ^ []))],extension(8 ^ 1,bind([[_22552, _22554, _22556], [113 ^ [], 114 ^ [], 113 ^ []]]))).
% 0.19/1.30  ncf('1.1.1',plain,[-(distinct_points(113 ^ [], 114 ^ []))],extension(117 ^ 2)).
% 0.19/1.30  ncf('1.1.2',plain,[distinct_points(114 ^ [], 113 ^ []), distinct_lines(line_connecting(113 ^ [], 114 ^ []), line_connecting(114 ^ [], 113 ^ [])), -(apart_point_and_line(114 ^ [], line_connecting(113 ^ [], 114 ^ []))), -(apart_point_and_line(114 ^ [], line_connecting(114 ^ [], 113 ^ []))), -(apart_point_and_line(113 ^ [], line_connecting(113 ^ [], 114 ^ []))), -(apart_point_and_line(113 ^ [], line_connecting(114 ^ [], 113 ^ [])))],extension(62 ^ 2,bind([[_24406, _24408, _24410, _24412], [line_connecting(114 ^ [], 113 ^ []), line_connecting(113 ^ [], 114 ^ []), 113 ^ [], 114 ^ []]]))).
% 0.19/1.30  ncf('1.1.2.1',plain,[-(distinct_lines(line_connecting(113 ^ [], 114 ^ []), line_connecting(114 ^ [], 113 ^ []))), apart_point_and_line(115 ^ [], line_connecting(113 ^ [], 114 ^ [])), -(apart_point_and_line(115 ^ [], line_connecting(114 ^ [], 113 ^ [])))],extension(94 ^ 3,bind([[_25359, _25361, _25363], [line_connecting(114 ^ [], 113 ^ []), line_connecting(113 ^ [], 114 ^ []), 115 ^ []]]))).
% 0.19/1.30  ncf('1.1.2.1.1',plain,[-(apart_point_and_line(115 ^ [], line_connecting(113 ^ [], 114 ^ [])))],extension(119 ^ 4)).
% 0.19/1.30  ncf('1.1.2.1.2',plain,[apart_point_and_line(115 ^ [], line_connecting(114 ^ [], 113 ^ []))],extension(121 ^ 4)).
% 0.19/1.30  ncf('1.1.2.2',plain,[apart_point_and_line(114 ^ [], line_connecting(113 ^ [], 114 ^ [])), distinct_points(113 ^ [], 114 ^ [])],extension(44 ^ 3,bind([[_23727, _23729], [114 ^ [], 113 ^ []]]))).
% 0.19/1.30  ncf('1.1.2.2.1',plain,[-(distinct_points(113 ^ [], 114 ^ []))],lemmata('[1].x')).
% 0.19/1.30  ncf('1.1.2.3',plain,[apart_point_and_line(114 ^ [], line_connecting(114 ^ [], 113 ^ [])), distinct_points(114 ^ [], 113 ^ [])],extension(38 ^ 3,bind([[_23510, _23512], [113 ^ [], 114 ^ []]]))).
% 0.19/1.30  ncf('1.1.2.3.1',plain,[-(distinct_points(114 ^ [], 113 ^ []))],reduction('1.1')).
% 0.19/1.30  ncf('1.1.2.4',plain,[apart_point_and_line(113 ^ [], line_connecting(113 ^ [], 114 ^ [])), distinct_points(113 ^ [], 114 ^ [])],extension(38 ^ 3,bind([[_23510, _23512], [114 ^ [], 113 ^ []]]))).
% 0.19/1.30  ncf('1.1.2.4.1',plain,[-(distinct_points(113 ^ [], 114 ^ []))],lemmata('[1].x')).
% 0.19/1.30  ncf('1.1.2.5',plain,[apart_point_and_line(113 ^ [], line_connecting(114 ^ [], 113 ^ [])), distinct_points(114 ^ [], 113 ^ [])],extension(44 ^ 3,bind([[_23727, _23729], [113 ^ [], 114 ^ []]]))).
% 0.19/1.30  ncf('1.1.2.5.1',plain,[-(distinct_points(114 ^ [], 113 ^ []))],reduction('1.1')).
% 0.19/1.30  %-----------------------------------------------------
% 0.19/1.30  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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