TSTP Solution File: GEO222+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO222+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n025.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 11:12:17 EDT 2023
% Result : Theorem 0.70s 1.37s
% Output : Proof 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO222+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n025.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 04:18:03 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.70/1.37
% 0.70/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.70/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.70/1.37 %-----------------------------------------------------
% 0.70/1.37 ncf(matrix, plain, [(180 ^ _34594) ^ [] : [-(convergent_lines(178 ^ [], orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ [])))], (114 ^ _34594) ^ [_38423, _38425] : [convergent_lines(parallel_through_point(_38423, _38425), _38423)], (116 ^ _34594) ^ [_38519, _38521] : [apart_point_and_line(_38521, parallel_through_point(_38519, _38521))], (118 ^ _34594) ^ [_38625, _38627, _38629] : [distinct_lines(_38627, _38625), -(apart_point_and_line(_38629, _38627)), -(apart_point_and_line(_38629, _38625)), -(convergent_lines(_38627, _38625))], (132 ^ _34594) ^ [_39033, _39035] : [-(convergent_lines(_39035, _39033)), -(unorthogonal_lines(_39035, _39033))], (138 ^ _34594) ^ [_39258, _39260, _39262] : [convergent_lines(_39262, _39260), unorthogonal_lines(_39262, _39260), 147 ^ _34594 : [(148 ^ _34594) ^ [] : [-(convergent_lines(_39262, _39258))], (150 ^ _34594) ^ [] : [-(unorthogonal_lines(_39262, _39258))]], 151 ^ _34594 : [(152 ^ _34594) ^ [] : [-(convergent_lines(_39260, _39258))], (154 ^ _34594) ^ [] : [-(unorthogonal_lines(_39260, _39258))]]], (156 ^ _34594) ^ [_39801, _39803] : [unorthogonal_lines(orthogonal_through_point(_39801, _39803), _39801)], (158 ^ _34594) ^ [_39897, _39899] : [apart_point_and_line(_39899, orthogonal_through_point(_39897, _39899))], (160 ^ _34594) ^ [_40017, _40019, _40021, _40023] : [distinct_lines(_40021, _40019), -(apart_point_and_line(_40023, _40021)), -(apart_point_and_line(_40023, _40019)), -(unorthogonal_lines(_40021, _40017)), -(unorthogonal_lines(_40019, _40017))], (2 ^ _34594) ^ [_34697] : [distinct_points(_34697, _34697)], (4 ^ _34594) ^ [_34774] : [distinct_lines(_34774, _34774)], (6 ^ _34594) ^ [_34851] : [convergent_lines(_34851, _34851)], (8 ^ _34594) ^ [_34972, _34974, _34976] : [distinct_points(_34976, _34974), -(distinct_points(_34976, _34972)), -(distinct_points(_34974, _34972))], (18 ^ _34594) ^ [_35296, _35298, _35300] : [distinct_lines(_35300, _35298), -(distinct_lines(_35300, _35296)), -(distinct_lines(_35298, _35296))], (28 ^ _34594) ^ [_35620, _35622, _35624] : [convergent_lines(_35624, _35622), -(convergent_lines(_35624, _35620)), -(convergent_lines(_35622, _35620))], (38 ^ _34594) ^ [_35930, _35932] : [distinct_points(_35932, _35930), apart_point_and_line(_35932, line_connecting(_35932, _35930))], (44 ^ _34594) ^ [_36147, _36149] : [distinct_points(_36149, _36147), apart_point_and_line(_36147, line_connecting(_36149, _36147))], (50 ^ _34594) ^ [_36364, _36366] : [convergent_lines(_36366, _36364), apart_point_and_line(intersection_point(_36366, _36364), _36366)], (56 ^ _34594) ^ [_36581, _36583] : [convergent_lines(_36583, _36581), apart_point_and_line(intersection_point(_36583, _36581), _36581)], (62 ^ _34594) ^ [_36826, _36828, _36830, _36832] : [distinct_points(_36832, _36830), distinct_lines(_36828, _36826), -(apart_point_and_line(_36832, _36828)), -(apart_point_and_line(_36832, _36826)), -(apart_point_and_line(_36830, _36828)), -(apart_point_and_line(_36830, _36826))], (84 ^ _34594) ^ [_37455, _37457, _37459] : [apart_point_and_line(_37459, _37457), -(distinct_points(_37459, _37455)), -(apart_point_and_line(_37455, _37457))], (94 ^ _34594) ^ [_37779, _37781, _37783] : [apart_point_and_line(_37783, _37781), -(distinct_lines(_37781, _37779)), -(apart_point_and_line(_37783, _37779))], (104 ^ _34594) ^ [_38083, _38085, _38087] : [convergent_lines(_38087, _38085), -(distinct_lines(_38085, _38083)), -(convergent_lines(_38087, _38083))]], input).
% 0.70/1.37 ncf('1',plain,[unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ []), orthogonal_through_point(178 ^ [], 177 ^ []))],start(156 ^ 0,bind([[_39801, _39803], [orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ []]]))).
% 0.70/1.37 ncf('1.1',plain,[-(unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ []), orthogonal_through_point(178 ^ [], 177 ^ []))), distinct_lines(178 ^ [], orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ [])), -(apart_point_and_line(intersection_point(178 ^ [], orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ [])), 178 ^ [])), -(apart_point_and_line(intersection_point(178 ^ [], orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ [])), orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ []))), -(unorthogonal_lines(178 ^ [], orthogonal_through_point(178 ^ [], 177 ^ [])))],extension(160 ^ 1,bind([[_40017, _40019, _40021, _40023], [orthogonal_through_point(178 ^ [], 177 ^ []), orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ []), 178 ^ [], intersection_point(178 ^ [], orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ []))]]))).
% 0.70/1.37 ncf('1.1.1',plain,[-(distinct_lines(178 ^ [], orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ []))), distinct_lines(orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ []), 178 ^ []), -(distinct_lines(orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ []), orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ [])))],extension(18 ^ 2,bind([[_35296, _35298, _35300], [orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ []), 178 ^ [], orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ [])]]))).
% 0.70/1.37 ncf('1.1.1.1',plain,[-(distinct_lines(orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ []), 178 ^ [])), distinct_lines(orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ []), 178 ^ []), -(distinct_lines(178 ^ [], 178 ^ []))],extension(18 ^ 3,bind([[_35296, _35298, _35300], [178 ^ [], 178 ^ [], orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ [])]]))).
% 0.70/1.37 ncf('1.1.1.1.1',plain,[-(distinct_lines(orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ []), 178 ^ [])), convergent_lines(178 ^ [], orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ [])), -(convergent_lines(178 ^ [], 178 ^ []))],extension(104 ^ 4,bind([[_38083, _38085, _38087], [178 ^ [], orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ []), 178 ^ []]]))).
% 0.70/1.37 ncf('1.1.1.1.1.1',plain,[-(convergent_lines(178 ^ [], orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ [])))],extension(180 ^ 5)).
% 0.70/1.37 ncf('1.1.1.1.1.2',plain,[convergent_lines(178 ^ [], 178 ^ [])],extension(6 ^ 5,bind([[_34851], [178 ^ []]]))).
% 0.70/1.37 ncf('1.1.1.1.2',plain,[distinct_lines(178 ^ [], 178 ^ [])],extension(4 ^ 4,bind([[_34774], [178 ^ []]]))).
% 0.70/1.37 ncf('1.1.1.2',plain,[distinct_lines(orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ []), orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ [])), -(apart_point_and_line(177 ^ [], orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ []))), -(apart_point_and_line(177 ^ [], orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ []))), -(convergent_lines(orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ []), orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ [])))],extension(118 ^ 3,bind([[_38625, _38627, _38629], [orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ []), orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ []), 177 ^ []]]))).
% 0.70/1.37 ncf('1.1.1.2.1',plain,[apart_point_and_line(177 ^ [], orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ []))],extension(158 ^ 4,bind([[_39897, _39899], [orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ []]]))).
% 0.70/1.37 ncf('1.1.1.2.2',plain,[apart_point_and_line(177 ^ [], orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ []))],extension(158 ^ 4,bind([[_39897, _39899], [orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ []]]))).
% 0.70/1.37 ncf('1.1.1.2.3',plain,[convergent_lines(orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ []), orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ []))],extension(6 ^ 4,bind([[_34851], [orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ [])]]))).
% 0.70/1.37 ncf('1.1.2',plain,[apart_point_and_line(intersection_point(178 ^ [], orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ [])), 178 ^ []), convergent_lines(178 ^ [], orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ []))],extension(50 ^ 2,bind([[_36364, _36366], [orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ []), 178 ^ []]]))).
% 0.70/1.37 ncf('1.1.2.1',plain,[-(convergent_lines(178 ^ [], orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ [])))],extension(180 ^ 3)).
% 0.70/1.37 ncf('1.1.3',plain,[apart_point_and_line(intersection_point(178 ^ [], orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ [])), orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ [])), convergent_lines(178 ^ [], orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ []))],extension(56 ^ 2,bind([[_36581, _36583], [orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ []), 178 ^ []]]))).
% 0.70/1.37 ncf('1.1.3.1',plain,[-(convergent_lines(178 ^ [], orthogonal_through_point(orthogonal_through_point(178 ^ [], 177 ^ []), 177 ^ [])))],extension(180 ^ 3)).
% 0.70/1.37 ncf('1.1.4',plain,[unorthogonal_lines(178 ^ [], orthogonal_through_point(178 ^ [], 177 ^ [])), convergent_lines(178 ^ [], orthogonal_through_point(178 ^ [], 177 ^ [])), 148 : -(convergent_lines(178 ^ [], orthogonal_through_point(178 ^ [], 177 ^ []))), 152 : -(convergent_lines(orthogonal_through_point(178 ^ [], 177 ^ []), orthogonal_through_point(178 ^ [], 177 ^ [])))],extension(138 ^ 2,bind([[_39258, _39260, _39262], [orthogonal_through_point(178 ^ [], 177 ^ []), orthogonal_through_point(178 ^ [], 177 ^ []), 178 ^ []]]))).
% 0.70/1.37 ncf('1.1.4.1',plain,[-(convergent_lines(178 ^ [], orthogonal_through_point(178 ^ [], 177 ^ []))), convergent_lines(orthogonal_through_point(178 ^ [], 177 ^ []), 178 ^ []), -(convergent_lines(orthogonal_through_point(178 ^ [], 177 ^ []), orthogonal_through_point(178 ^ [], 177 ^ [])))],extension(28 ^ 3,bind([[_35620, _35622, _35624], [orthogonal_through_point(178 ^ [], 177 ^ []), 178 ^ [], orthogonal_through_point(178 ^ [], 177 ^ [])]]))).
% 0.70/1.37 ncf('1.1.4.1.1',plain,[-(convergent_lines(orthogonal_through_point(178 ^ [], 177 ^ []), 178 ^ [])), -(unorthogonal_lines(orthogonal_through_point(178 ^ [], 177 ^ []), 178 ^ []))],extension(132 ^ 4,bind([[_39033, _39035], [178 ^ [], orthogonal_through_point(178 ^ [], 177 ^ [])]]))).
% 0.70/1.37 ncf('1.1.4.1.1.1',plain,[unorthogonal_lines(orthogonal_through_point(178 ^ [], 177 ^ []), 178 ^ [])],extension(156 ^ 5,bind([[_39801, _39803], [178 ^ [], 177 ^ []]]))).
% 0.70/1.37 ncf('1.1.4.1.2',plain,[convergent_lines(orthogonal_through_point(178 ^ [], 177 ^ []), orthogonal_through_point(178 ^ [], 177 ^ []))],extension(6 ^ 4,bind([[_34851], [orthogonal_through_point(178 ^ [], 177 ^ [])]]))).
% 0.70/1.37 ncf('1.1.4.2',plain,[convergent_lines(178 ^ [], orthogonal_through_point(178 ^ [], 177 ^ [])), unorthogonal_lines(178 ^ [], orthogonal_through_point(178 ^ [], 177 ^ [])), 148 : -(convergent_lines(178 ^ [], orthogonal_through_point(178 ^ [], 177 ^ []))), 152 : -(convergent_lines(orthogonal_through_point(178 ^ [], 177 ^ []), orthogonal_through_point(178 ^ [], 177 ^ [])))],extension(138 ^ 5,bind([[_39258, _39260, _39262], [orthogonal_through_point(178 ^ [], 177 ^ []), orthogonal_through_point(178 ^ [], 177 ^ []), 178 ^ []]]))).
% 0.70/1.37 ncf('1.1.4.2.1',plain,[-(unorthogonal_lines(178 ^ [], orthogonal_through_point(178 ^ [], 177 ^ [])))],reduction('1.1')).
% 0.70/1.37 ncf('1.1.4.2.2',plain,[convergent_lines(178 ^ [], orthogonal_through_point(178 ^ [], 177 ^ [])), unorthogonal_lines(178 ^ [], orthogonal_through_point(178 ^ [], 177 ^ [])), 148 : -(convergent_lines(178 ^ [], 178 ^ [])), 154 : -(unorthogonal_lines(orthogonal_through_point(178 ^ [], 177 ^ []), 178 ^ []))],extension(138 ^ 8,bind([[_39258, _39260, _39262], [178 ^ [], orthogonal_through_point(178 ^ [], 177 ^ []), 178 ^ []]]))).
% 0.70/1.37 ncf('1.1.4.2.2.1',plain,[-(unorthogonal_lines(178 ^ [], orthogonal_through_point(178 ^ [], 177 ^ [])))],reduction('1.1')).
% 0.70/1.37 ncf('1.1.4.2.2.2',plain,[convergent_lines(178 ^ [], 178 ^ [])],extension(6 ^ 11,bind([[_34851], [178 ^ []]]))).
% 0.70/1.37 ncf('1.1.4.2.2.3',plain,[unorthogonal_lines(orthogonal_through_point(178 ^ [], 177 ^ []), 178 ^ [])],extension(156 ^ 11,bind([[_39801, _39803], [178 ^ [], 177 ^ []]]))).
% 0.70/1.37 ncf('1.1.4.2.3',plain,[convergent_lines(orthogonal_through_point(178 ^ [], 177 ^ []), orthogonal_through_point(178 ^ [], 177 ^ []))],extension(6 ^ 8,bind([[_34851], [orthogonal_through_point(178 ^ [], 177 ^ [])]]))).
% 0.70/1.37 ncf('1.1.4.3',plain,[convergent_lines(orthogonal_through_point(178 ^ [], 177 ^ []), orthogonal_through_point(178 ^ [], 177 ^ []))],extension(6 ^ 5,bind([[_34851], [orthogonal_through_point(178 ^ [], 177 ^ [])]]))).
% 0.70/1.37 %-----------------------------------------------------
% 0.70/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------