TSTP Solution File: GEO203+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO203+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n027.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 11:12:12 EDT 2023
% Result : Theorem 0.87s 1.38s
% Output : Proof 0.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO203+2 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri May 19 04:16:36 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.87/1.38
% 0.87/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.87/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.87/1.38 %-----------------------------------------------------
% 0.87/1.38 ncf(matrix, plain, [(113 ^ _22449) ^ [] : [-(convergent_lines(109 ^ [], 110 ^ []))], (115 ^ _22449) ^ [] : [-(convergent_lines(109 ^ [], 111 ^ []))], (117 ^ _22449) ^ [] : [-(distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 111 ^ [])))], (119 ^ _22449) ^ [] : [-(distinct_lines(line_connecting(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 111 ^ [])), 109 ^ []))], (2 ^ _22449) ^ [_22532] : [distinct_points(_22532, _22532)], (4 ^ _22449) ^ [_22609] : [distinct_lines(_22609, _22609)], (6 ^ _22449) ^ [_22686] : [convergent_lines(_22686, _22686)], (8 ^ _22449) ^ [_22807, _22809, _22811] : [distinct_points(_22811, _22809), -(distinct_points(_22811, _22807)), -(distinct_points(_22809, _22807))], (18 ^ _22449) ^ [_23131, _23133, _23135] : [distinct_lines(_23135, _23133), -(distinct_lines(_23135, _23131)), -(distinct_lines(_23133, _23131))], (28 ^ _22449) ^ [_23455, _23457, _23459] : [convergent_lines(_23459, _23457), -(convergent_lines(_23459, _23455)), -(convergent_lines(_23457, _23455))], (38 ^ _22449) ^ [_23779, _23781, _23783] : [distinct_points(_23783, _23781), apart_point_and_line(_23779, line_connecting(_23783, _23781)), 45 ^ _22449 : [(46 ^ _22449) ^ [] : [-(distinct_points(_23779, _23783))], (48 ^ _22449) ^ [] : [-(distinct_points(_23779, _23781))]]], (50 ^ _22449) ^ [_24185, _24187, _24189] : [convergent_lines(_24189, _24187), 55 ^ _22449 : [(56 ^ _22449) ^ [] : [apart_point_and_line(_24185, _24189)], (58 ^ _22449) ^ [] : [apart_point_and_line(_24185, _24187)]], -(distinct_points(_24185, intersection_point(_24189, _24187)))], (62 ^ _22449) ^ [_24604, _24606, _24608, _24610] : [distinct_points(_24610, _24608), distinct_lines(_24606, _24604), -(apart_point_and_line(_24610, _24606)), -(apart_point_and_line(_24610, _24604)), -(apart_point_and_line(_24608, _24606)), -(apart_point_and_line(_24608, _24604))], (84 ^ _22449) ^ [_25233, _25235, _25237] : [apart_point_and_line(_25237, _25235), -(distinct_points(_25237, _25233)), -(apart_point_and_line(_25233, _25235))], (104 ^ _22449) ^ [_25847, _25849] : [convergent_lines(_25849, _25847), -(distinct_lines(_25849, _25847))], (94 ^ _22449) ^ [_25557, _25559, _25561] : [apart_point_and_line(_25561, _25559), -(distinct_lines(_25559, _25557)), -(apart_point_and_line(_25561, _25557))]], input).
% 0.87/1.38 ncf('1',plain,[distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ []))],start(2 ^ 0,bind([[_22532], [intersection_point(109 ^ [], 110 ^ [])]]))).
% 0.87/1.38 ncf('1.1',plain,[-(distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ []))), distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 111 ^ [])), -(distinct_points(intersection_point(109 ^ [], 111 ^ []), intersection_point(109 ^ [], 110 ^ [])))],extension(8 ^ 1,bind([[_22807, _22809, _22811], [intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 111 ^ []), intersection_point(109 ^ [], 110 ^ [])]]))).
% 0.87/1.38 ncf('1.1.1',plain,[-(distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 111 ^ [])))],extension(117 ^ 2)).
% 0.87/1.38 ncf('1.1.2',plain,[distinct_points(intersection_point(109 ^ [], 111 ^ []), intersection_point(109 ^ [], 110 ^ [])), -(distinct_points(intersection_point(109 ^ [], 111 ^ []), intersection_point(109 ^ [], 111 ^ []))), -(distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 111 ^ [])))],extension(8 ^ 2,bind([[_22807, _22809, _22811], [intersection_point(109 ^ [], 111 ^ []), intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 111 ^ [])]]))).
% 0.87/1.38 ncf('1.1.2.1',plain,[distinct_points(intersection_point(109 ^ [], 111 ^ []), intersection_point(109 ^ [], 111 ^ []))],extension(2 ^ 3,bind([[_22532], [intersection_point(109 ^ [], 111 ^ [])]]))).
% 0.87/1.38 ncf('1.1.2.2',plain,[distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 111 ^ [])), distinct_lines(line_connecting(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 111 ^ [])), 109 ^ []), -(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), line_connecting(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 111 ^ [])))), -(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 109 ^ [])), -(apart_point_and_line(intersection_point(109 ^ [], 111 ^ []), line_connecting(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 111 ^ [])))), -(apart_point_and_line(intersection_point(109 ^ [], 111 ^ []), 109 ^ []))],extension(62 ^ 3,bind([[_24604, _24606, _24608, _24610], [109 ^ [], line_connecting(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 111 ^ [])), intersection_point(109 ^ [], 111 ^ []), intersection_point(109 ^ [], 110 ^ [])]]))).
% 0.87/1.38 ncf('1.1.2.2.1',plain,[-(distinct_lines(line_connecting(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 111 ^ [])), 109 ^ []))],extension(119 ^ 4)).
% 0.87/1.38 ncf('1.1.2.2.2',plain,[apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), line_connecting(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 111 ^ []))), distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 111 ^ [])), 46 : -(distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ [])))],extension(38 ^ 4,bind([[_23779, _23781, _23783], [intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 111 ^ []), intersection_point(109 ^ [], 110 ^ [])]]))).
% 0.87/1.38 ncf('1.1.2.2.2.1',plain,[-(distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 111 ^ [])))],lemmata('[1].x')).
% 0.87/1.38 ncf('1.1.2.2.2.2',plain,[distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ []))],reduction('1')).
% 0.87/1.38 ncf('1.1.2.2.3',plain,[apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 109 ^ []), convergent_lines(109 ^ [], 110 ^ []), -(distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ [])))],extension(50 ^ 4,bind([[_24185, _24187, _24189], [intersection_point(109 ^ [], 110 ^ []), 110 ^ [], 109 ^ []]]))).
% 0.87/1.38 ncf('1.1.2.2.3.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(113 ^ 5)).
% 0.87/1.38 ncf('1.1.2.2.3.2',plain,[distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ []))],reduction('1')).
% 0.87/1.38 ncf('1.1.2.2.4',plain,[apart_point_and_line(intersection_point(109 ^ [], 111 ^ []), line_connecting(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 111 ^ []))), distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 111 ^ [])), 48 : -(distinct_points(intersection_point(109 ^ [], 111 ^ []), intersection_point(109 ^ [], 111 ^ [])))],extension(38 ^ 4,bind([[_23779, _23781, _23783], [intersection_point(109 ^ [], 111 ^ []), intersection_point(109 ^ [], 111 ^ []), intersection_point(109 ^ [], 110 ^ [])]]))).
% 0.87/1.38 ncf('1.1.2.2.4.1',plain,[-(distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 111 ^ [])))],lemmata('[1].x')).
% 0.87/1.38 ncf('1.1.2.2.4.2',plain,[distinct_points(intersection_point(109 ^ [], 111 ^ []), intersection_point(109 ^ [], 111 ^ []))],lemmata('[1, 1].x')).
% 0.87/1.38 ncf('1.1.2.2.5',plain,[apart_point_and_line(intersection_point(109 ^ [], 111 ^ []), 109 ^ []), convergent_lines(109 ^ [], 111 ^ []), -(distinct_points(intersection_point(109 ^ [], 111 ^ []), intersection_point(109 ^ [], 111 ^ [])))],extension(50 ^ 4,bind([[_24185, _24187, _24189], [intersection_point(109 ^ [], 111 ^ []), 111 ^ [], 109 ^ []]]))).
% 0.87/1.38 ncf('1.1.2.2.5.1',plain,[-(convergent_lines(109 ^ [], 111 ^ []))],extension(115 ^ 5)).
% 0.87/1.38 ncf('1.1.2.2.5.2',plain,[distinct_points(intersection_point(109 ^ [], 111 ^ []), intersection_point(109 ^ [], 111 ^ []))],lemmata('[1, 1].x')).
% 0.87/1.38 %-----------------------------------------------------
% 0.87/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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