TSTP Solution File: GEO201+1 by nanoCoP---2.0
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- Process Solution
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% File : nanoCoP---2.0
% Problem : GEO201+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n016.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 11:12:11 EDT 2023
% Result : Theorem 0.33s 1.37s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO201+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n016.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 04:27:12 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.33/1.37
% 0.33/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.37 %-----------------------------------------------------
% 0.33/1.37 ncf(matrix, plain, [(116 ^ _21706) ^ [] : [-(convergent_lines(113 ^ [], 114 ^ []))], (118 ^ _21706) ^ [] : [-(distinct_points(intersection_point(113 ^ [], 114 ^ []), intersection_point(114 ^ [], 113 ^ [])))], (2 ^ _21706) ^ [_21789] : [distinct_points(_21789, _21789)], (4 ^ _21706) ^ [_21866] : [distinct_lines(_21866, _21866)], (6 ^ _21706) ^ [_21943] : [convergent_lines(_21943, _21943)], (8 ^ _21706) ^ [_22064, _22066, _22068] : [distinct_points(_22068, _22066), -(distinct_points(_22068, _22064)), -(distinct_points(_22066, _22064))], (18 ^ _21706) ^ [_22388, _22390, _22392] : [distinct_lines(_22392, _22390), -(distinct_lines(_22392, _22388)), -(distinct_lines(_22390, _22388))], (28 ^ _21706) ^ [_22712, _22714, _22716] : [convergent_lines(_22716, _22714), -(convergent_lines(_22716, _22712)), -(convergent_lines(_22714, _22712))], (38 ^ _21706) ^ [_23022, _23024] : [distinct_points(_23024, _23022), apart_point_and_line(_23024, line_connecting(_23024, _23022))], (44 ^ _21706) ^ [_23239, _23241] : [distinct_points(_23241, _23239), apart_point_and_line(_23239, line_connecting(_23241, _23239))], (50 ^ _21706) ^ [_23456, _23458] : [convergent_lines(_23458, _23456), apart_point_and_line(intersection_point(_23458, _23456), _23458)], (56 ^ _21706) ^ [_23673, _23675] : [convergent_lines(_23675, _23673), apart_point_and_line(intersection_point(_23675, _23673), _23673)], (62 ^ _21706) ^ [_23918, _23920, _23922, _23924] : [distinct_points(_23924, _23922), distinct_lines(_23920, _23918), -(apart_point_and_line(_23924, _23920)), -(apart_point_and_line(_23924, _23918)), -(apart_point_and_line(_23922, _23920)), -(apart_point_and_line(_23922, _23918))], (84 ^ _21706) ^ [_24547, _24549, _24551] : [apart_point_and_line(_24551, _24549), -(distinct_points(_24551, _24547)), -(apart_point_and_line(_24547, _24549))], (94 ^ _21706) ^ [_24871, _24873, _24875] : [apart_point_and_line(_24875, _24873), -(distinct_lines(_24873, _24871)), -(apart_point_and_line(_24875, _24871))], (104 ^ _21706) ^ [_25175, _25177, _25179] : [convergent_lines(_25179, _25177), -(distinct_lines(_25177, _25175)), -(convergent_lines(_25179, _25175))]], input).
% 0.33/1.37 ncf('1',plain,[convergent_lines(113 ^ [], 113 ^ [])],start(6 ^ 0,bind([[_21943], [113 ^ []]]))).
% 0.33/1.37 ncf('1.1',plain,[-(convergent_lines(113 ^ [], 113 ^ [])), convergent_lines(113 ^ [], 114 ^ []), -(convergent_lines(114 ^ [], 113 ^ []))],extension(28 ^ 1,bind([[_22712, _22714, _22716], [113 ^ [], 114 ^ [], 113 ^ []]]))).
% 0.33/1.37 ncf('1.1.1',plain,[-(convergent_lines(113 ^ [], 114 ^ []))],extension(116 ^ 2)).
% 0.33/1.37 ncf('1.1.2',plain,[convergent_lines(114 ^ [], 113 ^ []), apart_point_and_line(intersection_point(114 ^ [], 113 ^ []), 114 ^ [])],extension(50 ^ 2,bind([[_23456, _23458], [113 ^ [], 114 ^ []]]))).
% 0.33/1.37 ncf('1.1.2.1',plain,[-(apart_point_and_line(intersection_point(114 ^ [], 113 ^ []), 114 ^ [])), distinct_points(intersection_point(113 ^ [], 114 ^ []), intersection_point(114 ^ [], 113 ^ [])), distinct_lines(114 ^ [], 113 ^ []), -(apart_point_and_line(intersection_point(113 ^ [], 114 ^ []), 114 ^ [])), -(apart_point_and_line(intersection_point(113 ^ [], 114 ^ []), 113 ^ [])), -(apart_point_and_line(intersection_point(114 ^ [], 113 ^ []), 113 ^ []))],extension(62 ^ 3,bind([[_23918, _23920, _23922, _23924], [113 ^ [], 114 ^ [], intersection_point(114 ^ [], 113 ^ []), intersection_point(113 ^ [], 114 ^ [])]]))).
% 0.33/1.37 ncf('1.1.2.1.1',plain,[-(distinct_points(intersection_point(113 ^ [], 114 ^ []), intersection_point(114 ^ [], 113 ^ [])))],extension(118 ^ 4)).
% 0.33/1.37 ncf('1.1.2.1.2',plain,[-(distinct_lines(114 ^ [], 113 ^ [])), convergent_lines(113 ^ [], 114 ^ []), -(convergent_lines(113 ^ [], 113 ^ []))],extension(104 ^ 4,bind([[_25175, _25177, _25179], [113 ^ [], 114 ^ [], 113 ^ []]]))).
% 0.33/1.37 ncf('1.1.2.1.2.1',plain,[-(convergent_lines(113 ^ [], 114 ^ []))],extension(116 ^ 5)).
% 0.33/1.37 ncf('1.1.2.1.2.2',plain,[convergent_lines(113 ^ [], 113 ^ [])],reduction('1')).
% 0.33/1.37 ncf('1.1.2.1.3',plain,[apart_point_and_line(intersection_point(113 ^ [], 114 ^ []), 114 ^ []), convergent_lines(113 ^ [], 114 ^ [])],extension(56 ^ 4,bind([[_23673, _23675], [114 ^ [], 113 ^ []]]))).
% 0.33/1.37 ncf('1.1.2.1.3.1',plain,[-(convergent_lines(113 ^ [], 114 ^ []))],lemmata('[1].x')).
% 0.33/1.37 ncf('1.1.2.1.4',plain,[apart_point_and_line(intersection_point(113 ^ [], 114 ^ []), 113 ^ []), convergent_lines(113 ^ [], 114 ^ [])],extension(50 ^ 4,bind([[_23456, _23458], [114 ^ [], 113 ^ []]]))).
% 0.33/1.37 ncf('1.1.2.1.4.1',plain,[-(convergent_lines(113 ^ [], 114 ^ []))],lemmata('[1].x')).
% 0.33/1.37 ncf('1.1.2.1.5',plain,[apart_point_and_line(intersection_point(114 ^ [], 113 ^ []), 113 ^ []), convergent_lines(114 ^ [], 113 ^ [])],extension(56 ^ 4,bind([[_23673, _23675], [113 ^ [], 114 ^ []]]))).
% 0.33/1.37 ncf('1.1.2.1.5.1',plain,[-(convergent_lines(114 ^ [], 113 ^ []))],reduction('1.1')).
% 0.33/1.37 %-----------------------------------------------------
% 0.33/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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