TSTP Solution File: GEO215+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO215+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n031.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 11:12:15 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
% 0.04/0.12 % Problem : GEO215+2 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.12 % Command : nanocop.sh %s %d
% 0.11/0.33 % Computer : n031.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri May 19 04:55:25 EDT 2023
% 0.11/0.33 % 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, [(177 ^ _31621) ^ [] : [-(convergent_lines(173 ^ [], 174 ^ []))], (179 ^ _31621) ^ [] : [unorthogonal_lines(173 ^ [], 175 ^ [])], (181 ^ _31621) ^ [] : [unorthogonal_lines(174 ^ [], 175 ^ [])], (110 ^ _31621) ^ [_35275, _35277] : [convergent_lines(parallel_through_point(_35275, _35277), _35275)], (112 ^ _31621) ^ [_35371, _35373] : [apart_point_and_line(_35373, parallel_through_point(_35371, _35373))], (114 ^ _31621) ^ [_35477, _35479, _35481] : [distinct_lines(_35479, _35477), -(apart_point_and_line(_35481, _35479)), -(apart_point_and_line(_35481, _35477)), -(convergent_lines(_35479, _35477))], (128 ^ _31621) ^ [_35885, _35887] : [-(convergent_lines(_35887, _35885)), -(unorthogonal_lines(_35887, _35885))], (134 ^ _31621) ^ [_36110, _36112, _36114] : [convergent_lines(_36114, _36112), unorthogonal_lines(_36114, _36112), 143 ^ _31621 : [(144 ^ _31621) ^ [] : [-(convergent_lines(_36114, _36110))], (146 ^ _31621) ^ [] : [-(unorthogonal_lines(_36114, _36110))]], 147 ^ _31621 : [(148 ^ _31621) ^ [] : [-(convergent_lines(_36112, _36110))], (150 ^ _31621) ^ [] : [-(unorthogonal_lines(_36112, _36110))]]], (152 ^ _31621) ^ [_36653, _36655] : [unorthogonal_lines(orthogonal_through_point(_36653, _36655), _36653)], (154 ^ _31621) ^ [_36749, _36751] : [apart_point_and_line(_36751, orthogonal_through_point(_36749, _36751))], (156 ^ _31621) ^ [_36869, _36871, _36873, _36875] : [distinct_lines(_36873, _36871), -(apart_point_and_line(_36875, _36873)), -(apart_point_and_line(_36875, _36871)), -(unorthogonal_lines(_36873, _36869)), -(unorthogonal_lines(_36871, _36869))], (2 ^ _31621) ^ [_31724] : [distinct_points(_31724, _31724)], (4 ^ _31621) ^ [_31801] : [distinct_lines(_31801, _31801)], (6 ^ _31621) ^ [_31878] : [convergent_lines(_31878, _31878)], (8 ^ _31621) ^ [_31999, _32001, _32003] : [distinct_points(_32003, _32001), -(distinct_points(_32003, _31999)), -(distinct_points(_32001, _31999))], (18 ^ _31621) ^ [_32323, _32325, _32327] : [distinct_lines(_32327, _32325), -(distinct_lines(_32327, _32323)), -(distinct_lines(_32325, _32323))], (28 ^ _31621) ^ [_32647, _32649, _32651] : [convergent_lines(_32651, _32649), -(convergent_lines(_32651, _32647)), -(convergent_lines(_32649, _32647))], (38 ^ _31621) ^ [_32971, _32973, _32975] : [distinct_points(_32975, _32973), apart_point_and_line(_32971, line_connecting(_32975, _32973)), 45 ^ _31621 : [(46 ^ _31621) ^ [] : [-(distinct_points(_32971, _32975))], (48 ^ _31621) ^ [] : [-(distinct_points(_32971, _32973))]]], (50 ^ _31621) ^ [_33377, _33379, _33381] : [convergent_lines(_33381, _33379), 55 ^ _31621 : [(56 ^ _31621) ^ [] : [apart_point_and_line(_33377, _33381)], (58 ^ _31621) ^ [] : [apart_point_and_line(_33377, _33379)]], -(distinct_points(_33377, intersection_point(_33381, _33379)))], (62 ^ _31621) ^ [_33796, _33798, _33800, _33802] : [distinct_points(_33802, _33800), distinct_lines(_33798, _33796), -(apart_point_and_line(_33802, _33798)), -(apart_point_and_line(_33802, _33796)), -(apart_point_and_line(_33800, _33798)), -(apart_point_and_line(_33800, _33796))], (84 ^ _31621) ^ [_34425, _34427, _34429] : [apart_point_and_line(_34429, _34427), -(distinct_points(_34429, _34425)), -(apart_point_and_line(_34425, _34427))], (104 ^ _31621) ^ [_35039, _35041] : [convergent_lines(_35041, _35039), -(distinct_lines(_35041, _35039))], (94 ^ _31621) ^ [_34749, _34751, _34753] : [apart_point_and_line(_34753, _34751), -(distinct_lines(_34751, _34749)), -(apart_point_and_line(_34753, _34749))]], input).
% 0.33/1.37 ncf('1',plain,[unorthogonal_lines(173 ^ [], 175 ^ [])],start(179 ^ 0)).
% 0.33/1.37 ncf('1.1',plain,[-(unorthogonal_lines(173 ^ [], 175 ^ [])), distinct_lines(173 ^ [], 174 ^ []), -(apart_point_and_line(intersection_point(173 ^ [], 174 ^ []), 173 ^ [])), -(apart_point_and_line(intersection_point(173 ^ [], 174 ^ []), 174 ^ [])), -(unorthogonal_lines(174 ^ [], 175 ^ []))],extension(156 ^ 1,bind([[_36869, _36871, _36873, _36875], [175 ^ [], 174 ^ [], 173 ^ [], intersection_point(173 ^ [], 174 ^ [])]]))).
% 0.33/1.37 ncf('1.1.1',plain,[-(distinct_lines(173 ^ [], 174 ^ [])), distinct_lines(173 ^ [], 174 ^ []), -(distinct_lines(174 ^ [], 174 ^ []))],extension(18 ^ 2,bind([[_32323, _32325, _32327], [174 ^ [], 174 ^ [], 173 ^ []]]))).
% 0.33/1.37 ncf('1.1.1.1',plain,[-(distinct_lines(173 ^ [], 174 ^ [])), convergent_lines(173 ^ [], 174 ^ [])],extension(104 ^ 3,bind([[_35039, _35041], [174 ^ [], 173 ^ []]]))).
% 0.33/1.37 ncf('1.1.1.1.1',plain,[-(convergent_lines(173 ^ [], 174 ^ []))],extension(177 ^ 4)).
% 0.33/1.37 ncf('1.1.1.2',plain,[distinct_lines(174 ^ [], 174 ^ [])],extension(4 ^ 3,bind([[_31801], [174 ^ []]]))).
% 0.33/1.37 ncf('1.1.2',plain,[apart_point_and_line(intersection_point(173 ^ [], 174 ^ []), 173 ^ []), convergent_lines(173 ^ [], 174 ^ []), -(distinct_points(intersection_point(173 ^ [], 174 ^ []), intersection_point(173 ^ [], 174 ^ [])))],extension(50 ^ 2,bind([[_33377, _33379, _33381], [intersection_point(173 ^ [], 174 ^ []), 174 ^ [], 173 ^ []]]))).
% 0.33/1.37 ncf('1.1.2.1',plain,[-(convergent_lines(173 ^ [], 174 ^ []))],extension(177 ^ 3)).
% 0.33/1.37 ncf('1.1.2.2',plain,[distinct_points(intersection_point(173 ^ [], 174 ^ []), intersection_point(173 ^ [], 174 ^ []))],extension(2 ^ 3,bind([[_31724], [intersection_point(173 ^ [], 174 ^ [])]]))).
% 0.33/1.37 ncf('1.1.3',plain,[apart_point_and_line(intersection_point(173 ^ [], 174 ^ []), 174 ^ []), convergent_lines(173 ^ [], 174 ^ []), -(distinct_points(intersection_point(173 ^ [], 174 ^ []), intersection_point(173 ^ [], 174 ^ [])))],extension(50 ^ 2,bind([[_33377, _33379, _33381], [intersection_point(173 ^ [], 174 ^ []), 174 ^ [], 173 ^ []]]))).
% 0.33/1.37 ncf('1.1.3.1',plain,[-(convergent_lines(173 ^ [], 174 ^ []))],extension(177 ^ 3)).
% 0.33/1.37 ncf('1.1.3.2',plain,[distinct_points(intersection_point(173 ^ [], 174 ^ []), intersection_point(173 ^ [], 174 ^ []))],extension(2 ^ 3,bind([[_31724], [intersection_point(173 ^ [], 174 ^ [])]]))).
% 0.33/1.37 ncf('1.1.4',plain,[unorthogonal_lines(174 ^ [], 175 ^ [])],extension(181 ^ 2)).
% 0.33/1.37 %-----------------------------------------------------
% 0.33/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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