TSTP Solution File: GEO213+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO213+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n023.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 11:12:14 EDT 2023
% Result : Theorem 1.79s 2.37s
% Output : Proof 1.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : GEO213+2 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.10 % Command : nanocop.sh %s %d
% 0.10/0.30 % Computer : n023.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri May 19 04:50:29 EDT 2023
% 0.10/0.30 % CPUTime :
% 1.79/2.37
% 1.79/2.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 1.79/2.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.79/2.37 %-----------------------------------------------------
% 1.79/2.37 ncf(matrix, plain, [(177 ^ _33877) ^ [] : [-(unorthogonal_lines(173 ^ [], 174 ^ []))], (179 ^ _33877) ^ [] : [distinct_lines(173 ^ [], 175 ^ [])], (181 ^ _33877) ^ [] : [unorthogonal_lines(174 ^ [], 175 ^ [])], (110 ^ _33877) ^ [_37531, _37533] : [convergent_lines(parallel_through_point(_37531, _37533), _37531)], (112 ^ _33877) ^ [_37627, _37629] : [apart_point_and_line(_37629, parallel_through_point(_37627, _37629))], (114 ^ _33877) ^ [_37733, _37735, _37737] : [distinct_lines(_37735, _37733), -(apart_point_and_line(_37737, _37735)), -(apart_point_and_line(_37737, _37733)), -(convergent_lines(_37735, _37733))], (128 ^ _33877) ^ [_38141, _38143] : [-(convergent_lines(_38143, _38141)), -(unorthogonal_lines(_38143, _38141))], (134 ^ _33877) ^ [_38366, _38368, _38370] : [convergent_lines(_38370, _38368), unorthogonal_lines(_38370, _38368), 143 ^ _33877 : [(144 ^ _33877) ^ [] : [-(convergent_lines(_38370, _38366))], (146 ^ _33877) ^ [] : [-(unorthogonal_lines(_38370, _38366))]], 147 ^ _33877 : [(148 ^ _33877) ^ [] : [-(convergent_lines(_38368, _38366))], (150 ^ _33877) ^ [] : [-(unorthogonal_lines(_38368, _38366))]]], (152 ^ _33877) ^ [_38909, _38911] : [unorthogonal_lines(orthogonal_through_point(_38909, _38911), _38909)], (154 ^ _33877) ^ [_39005, _39007] : [apart_point_and_line(_39007, orthogonal_through_point(_39005, _39007))], (156 ^ _33877) ^ [_39125, _39127, _39129, _39131] : [distinct_lines(_39129, _39127), -(apart_point_and_line(_39131, _39129)), -(apart_point_and_line(_39131, _39127)), -(unorthogonal_lines(_39129, _39125)), -(unorthogonal_lines(_39127, _39125))], (2 ^ _33877) ^ [_33980] : [distinct_points(_33980, _33980)], (4 ^ _33877) ^ [_34057] : [distinct_lines(_34057, _34057)], (6 ^ _33877) ^ [_34134] : [convergent_lines(_34134, _34134)], (8 ^ _33877) ^ [_34255, _34257, _34259] : [distinct_points(_34259, _34257), -(distinct_points(_34259, _34255)), -(distinct_points(_34257, _34255))], (18 ^ _33877) ^ [_34579, _34581, _34583] : [distinct_lines(_34583, _34581), -(distinct_lines(_34583, _34579)), -(distinct_lines(_34581, _34579))], (28 ^ _33877) ^ [_34903, _34905, _34907] : [convergent_lines(_34907, _34905), -(convergent_lines(_34907, _34903)), -(convergent_lines(_34905, _34903))], (38 ^ _33877) ^ [_35227, _35229, _35231] : [distinct_points(_35231, _35229), apart_point_and_line(_35227, line_connecting(_35231, _35229)), 45 ^ _33877 : [(46 ^ _33877) ^ [] : [-(distinct_points(_35227, _35231))], (48 ^ _33877) ^ [] : [-(distinct_points(_35227, _35229))]]], (50 ^ _33877) ^ [_35633, _35635, _35637] : [convergent_lines(_35637, _35635), 55 ^ _33877 : [(56 ^ _33877) ^ [] : [apart_point_and_line(_35633, _35637)], (58 ^ _33877) ^ [] : [apart_point_and_line(_35633, _35635)]], -(distinct_points(_35633, intersection_point(_35637, _35635)))], (62 ^ _33877) ^ [_36052, _36054, _36056, _36058] : [distinct_points(_36058, _36056), distinct_lines(_36054, _36052), -(apart_point_and_line(_36058, _36054)), -(apart_point_and_line(_36058, _36052)), -(apart_point_and_line(_36056, _36054)), -(apart_point_and_line(_36056, _36052))], (84 ^ _33877) ^ [_36681, _36683, _36685] : [apart_point_and_line(_36685, _36683), -(distinct_points(_36685, _36681)), -(apart_point_and_line(_36681, _36683))], (104 ^ _33877) ^ [_37295, _37297] : [convergent_lines(_37297, _37295), -(distinct_lines(_37297, _37295))], (94 ^ _33877) ^ [_37005, _37007, _37009] : [apart_point_and_line(_37009, _37007), -(distinct_lines(_37007, _37005)), -(apart_point_and_line(_37009, _37005))]], input).
% 1.79/2.37 ncf('1',plain,[distinct_lines(173 ^ [], 175 ^ [])],start(179 ^ 0)).
% 1.79/2.37 ncf('1.1',plain,[-(distinct_lines(173 ^ [], 175 ^ [])), convergent_lines(173 ^ [], 175 ^ [])],extension(104 ^ 1,bind([[_37295, _37297], [175 ^ [], 173 ^ []]]))).
% 1.79/2.37 ncf('1.1.1',plain,[-(convergent_lines(173 ^ [], 175 ^ [])), convergent_lines(174 ^ [], 173 ^ []), unorthogonal_lines(174 ^ [], 173 ^ []), 146 : -(unorthogonal_lines(174 ^ [], 175 ^ []))],extension(134 ^ 2,bind([[_38366, _38368, _38370], [175 ^ [], 173 ^ [], 174 ^ []]]))).
% 1.79/2.37 ncf('1.1.1.1',plain,[-(convergent_lines(174 ^ [], 173 ^ [])), distinct_lines(174 ^ [], 173 ^ []), -(apart_point_and_line(intersection_point(174 ^ [], 175 ^ []), 174 ^ [])), -(apart_point_and_line(intersection_point(174 ^ [], 175 ^ []), 173 ^ []))],extension(114 ^ 3,bind([[_37733, _37735, _37737], [173 ^ [], 174 ^ [], intersection_point(174 ^ [], 175 ^ [])]]))).
% 1.79/2.37 ncf('1.1.1.1.1',plain,[-(distinct_lines(174 ^ [], 173 ^ [])), distinct_lines(174 ^ [], 175 ^ []), -(distinct_lines(175 ^ [], 173 ^ []))],extension(18 ^ 4,bind([[_34579, _34581, _34583], [173 ^ [], 175 ^ [], 174 ^ []]]))).
% 1.79/2.37 ncf('1.1.1.1.1.1',plain,[-(distinct_lines(174 ^ [], 175 ^ [])), convergent_lines(174 ^ [], 175 ^ [])],extension(104 ^ 5,bind([[_37295, _37297], [175 ^ [], 174 ^ []]]))).
% 1.79/2.37 ncf('1.1.1.1.1.1.1',plain,[-(convergent_lines(174 ^ [], 175 ^ [])), -(unorthogonal_lines(174 ^ [], 175 ^ []))],extension(128 ^ 6,bind([[_38141, _38143], [175 ^ [], 174 ^ []]]))).
% 1.79/2.37 ncf('1.1.1.1.1.1.1.1',plain,[unorthogonal_lines(174 ^ [], 175 ^ [])],extension(181 ^ 7)).
% 1.79/2.37 ncf('1.1.1.1.1.2',plain,[distinct_lines(175 ^ [], 173 ^ []), -(distinct_lines(175 ^ [], 175 ^ [])), -(distinct_lines(173 ^ [], 175 ^ []))],extension(18 ^ 5,bind([[_34579, _34581, _34583], [175 ^ [], 173 ^ [], 175 ^ []]]))).
% 1.79/2.37 ncf('1.1.1.1.1.2.1',plain,[distinct_lines(175 ^ [], 175 ^ [])],extension(4 ^ 6,bind([[_34057], [175 ^ []]]))).
% 1.79/2.37 ncf('1.1.1.1.1.2.2',plain,[distinct_lines(173 ^ [], 175 ^ [])],reduction('1')).
% 1.79/2.37 ncf('1.1.1.1.2',plain,[apart_point_and_line(intersection_point(174 ^ [], 175 ^ []), 174 ^ []), convergent_lines(174 ^ [], 175 ^ []), -(distinct_points(intersection_point(174 ^ [], 175 ^ []), intersection_point(174 ^ [], 175 ^ [])))],extension(50 ^ 4,bind([[_35633, _35635, _35637], [intersection_point(174 ^ [], 175 ^ []), 175 ^ [], 174 ^ []]]))).
% 1.79/2.37 ncf('1.1.1.1.2.1',plain,[-(convergent_lines(174 ^ [], 175 ^ [])), -(unorthogonal_lines(174 ^ [], 175 ^ []))],extension(128 ^ 5,bind([[_38141, _38143], [175 ^ [], 174 ^ []]]))).
% 1.79/2.37 ncf('1.1.1.1.2.1.1',plain,[unorthogonal_lines(174 ^ [], 175 ^ [])],extension(181 ^ 6)).
% 1.79/2.37 ncf('1.1.1.1.2.2',plain,[distinct_points(intersection_point(174 ^ [], 175 ^ []), intersection_point(174 ^ [], 175 ^ []))],extension(2 ^ 5,bind([[_33980], [intersection_point(174 ^ [], 175 ^ [])]]))).
% 1.79/2.37 ncf('1.1.1.1.3',plain,[apart_point_and_line(intersection_point(174 ^ [], 175 ^ []), 173 ^ []), -(distinct_lines(173 ^ [], 175 ^ [])), -(apart_point_and_line(intersection_point(174 ^ [], 175 ^ []), 175 ^ []))],extension(94 ^ 4,bind([[_37005, _37007, _37009], [175 ^ [], 173 ^ [], intersection_point(174 ^ [], 175 ^ [])]]))).
% 1.79/2.37 ncf('1.1.1.1.3.1',plain,[distinct_lines(173 ^ [], 175 ^ [])],reduction('1')).
% 1.79/2.37 ncf('1.1.1.1.3.2',plain,[apart_point_and_line(intersection_point(174 ^ [], 175 ^ []), 175 ^ []), convergent_lines(174 ^ [], 175 ^ []), -(distinct_points(intersection_point(174 ^ [], 175 ^ []), intersection_point(174 ^ [], 175 ^ [])))],extension(50 ^ 5,bind([[_35633, _35635, _35637], [intersection_point(174 ^ [], 175 ^ []), 175 ^ [], 174 ^ []]]))).
% 1.79/2.37 ncf('1.1.1.1.3.2.1',plain,[-(convergent_lines(174 ^ [], 175 ^ [])), -(unorthogonal_lines(174 ^ [], 175 ^ []))],extension(128 ^ 6,bind([[_38141, _38143], [175 ^ [], 174 ^ []]]))).
% 1.79/2.37 ncf('1.1.1.1.3.2.1.1',plain,[unorthogonal_lines(174 ^ [], 175 ^ [])],extension(181 ^ 7)).
% 1.79/2.37 ncf('1.1.1.1.3.2.2',plain,[distinct_points(intersection_point(174 ^ [], 175 ^ []), intersection_point(174 ^ [], 175 ^ []))],extension(2 ^ 6,bind([[_33980], [intersection_point(174 ^ [], 175 ^ [])]]))).
% 1.79/2.37 ncf('1.1.1.2',plain,[-(unorthogonal_lines(174 ^ [], 173 ^ [])), -(convergent_lines(174 ^ [], 173 ^ []))],extension(128 ^ 3,bind([[_38141, _38143], [173 ^ [], 174 ^ []]]))).
% 1.79/2.37 ncf('1.1.1.2.1',plain,[convergent_lines(174 ^ [], 173 ^ []), -(convergent_lines(174 ^ [], 174 ^ [])), -(convergent_lines(173 ^ [], 174 ^ []))],extension(28 ^ 4,bind([[_34903, _34905, _34907], [174 ^ [], 173 ^ [], 174 ^ []]]))).
% 1.79/2.37 ncf('1.1.1.2.1.1',plain,[convergent_lines(174 ^ [], 174 ^ [])],extension(6 ^ 5,bind([[_34134], [174 ^ []]]))).
% 1.79/2.37 ncf('1.1.1.2.1.2',plain,[convergent_lines(173 ^ [], 174 ^ []), unorthogonal_lines(173 ^ [], 174 ^ []), 144 : -(convergent_lines(173 ^ [], 175 ^ [])), 150 : -(unorthogonal_lines(174 ^ [], 175 ^ []))],extension(134 ^ 5,bind([[_38366, _38368, _38370], [175 ^ [], 174 ^ [], 173 ^ []]]))).
% 1.79/2.37 ncf('1.1.1.2.1.2.1',plain,[-(unorthogonal_lines(173 ^ [], 174 ^ []))],extension(177 ^ 6)).
% 1.79/2.37 ncf('1.1.1.2.1.2.2',plain,[convergent_lines(173 ^ [], 175 ^ [])],reduction('1.1')).
% 1.79/2.37 ncf('1.1.1.2.1.2.3',plain,[unorthogonal_lines(174 ^ [], 175 ^ [])],extension(181 ^ 8)).
% 1.79/2.37 ncf('1.1.1.3',plain,[unorthogonal_lines(174 ^ [], 175 ^ [])],extension(181 ^ 5)).
% 1.79/2.37 %-----------------------------------------------------
% 1.79/2.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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