TSTP Solution File: GEO210+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO210+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n022.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 0.32s 1.38s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO210+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n022.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 04:18:01 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.32/1.38  
% 0.32/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.32/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.38  %-----------------------------------------------------
% 0.32/1.38  ncf(matrix, plain, [(181 ^ _31880) ^ [] : [apart_point_and_line(177 ^ [], 178 ^ [])], (183 ^ _31880) ^ [] : [unorthogonal_lines(178 ^ [], 179 ^ [])], (185 ^ _31880) ^ [] : [-(distinct_lines(178 ^ [], orthogonal_through_point(179 ^ [], 177 ^ [])))], (114 ^ _31880) ^ [_35709, _35711] : [convergent_lines(parallel_through_point(_35709, _35711), _35709)], (116 ^ _31880) ^ [_35805, _35807] : [apart_point_and_line(_35807, parallel_through_point(_35805, _35807))], (118 ^ _31880) ^ [_35911, _35913, _35915] : [distinct_lines(_35913, _35911), -(apart_point_and_line(_35915, _35913)), -(apart_point_and_line(_35915, _35911)), -(convergent_lines(_35913, _35911))], (132 ^ _31880) ^ [_36319, _36321] : [-(convergent_lines(_36321, _36319)), -(unorthogonal_lines(_36321, _36319))], (138 ^ _31880) ^ [_36544, _36546, _36548] : [convergent_lines(_36548, _36546), unorthogonal_lines(_36548, _36546), 147 ^ _31880 : [(148 ^ _31880) ^ [] : [-(convergent_lines(_36548, _36544))], (150 ^ _31880) ^ [] : [-(unorthogonal_lines(_36548, _36544))]], 151 ^ _31880 : [(152 ^ _31880) ^ [] : [-(convergent_lines(_36546, _36544))], (154 ^ _31880) ^ [] : [-(unorthogonal_lines(_36546, _36544))]]], (156 ^ _31880) ^ [_37087, _37089] : [unorthogonal_lines(orthogonal_through_point(_37087, _37089), _37087)], (158 ^ _31880) ^ [_37183, _37185] : [apart_point_and_line(_37185, orthogonal_through_point(_37183, _37185))], (160 ^ _31880) ^ [_37303, _37305, _37307, _37309] : [distinct_lines(_37307, _37305), -(apart_point_and_line(_37309, _37307)), -(apart_point_and_line(_37309, _37305)), -(unorthogonal_lines(_37307, _37303)), -(unorthogonal_lines(_37305, _37303))], (2 ^ _31880) ^ [_31983] : [distinct_points(_31983, _31983)], (4 ^ _31880) ^ [_32060] : [distinct_lines(_32060, _32060)], (6 ^ _31880) ^ [_32137] : [convergent_lines(_32137, _32137)], (8 ^ _31880) ^ [_32258, _32260, _32262] : [distinct_points(_32262, _32260), -(distinct_points(_32262, _32258)), -(distinct_points(_32260, _32258))], (18 ^ _31880) ^ [_32582, _32584, _32586] : [distinct_lines(_32586, _32584), -(distinct_lines(_32586, _32582)), -(distinct_lines(_32584, _32582))], (28 ^ _31880) ^ [_32906, _32908, _32910] : [convergent_lines(_32910, _32908), -(convergent_lines(_32910, _32906)), -(convergent_lines(_32908, _32906))], (38 ^ _31880) ^ [_33216, _33218] : [distinct_points(_33218, _33216), apart_point_and_line(_33218, line_connecting(_33218, _33216))], (44 ^ _31880) ^ [_33433, _33435] : [distinct_points(_33435, _33433), apart_point_and_line(_33433, line_connecting(_33435, _33433))], (50 ^ _31880) ^ [_33650, _33652] : [convergent_lines(_33652, _33650), apart_point_and_line(intersection_point(_33652, _33650), _33652)], (56 ^ _31880) ^ [_33867, _33869] : [convergent_lines(_33869, _33867), apart_point_and_line(intersection_point(_33869, _33867), _33867)], (62 ^ _31880) ^ [_34112, _34114, _34116, _34118] : [distinct_points(_34118, _34116), distinct_lines(_34114, _34112), -(apart_point_and_line(_34118, _34114)), -(apart_point_and_line(_34118, _34112)), -(apart_point_and_line(_34116, _34114)), -(apart_point_and_line(_34116, _34112))], (84 ^ _31880) ^ [_34741, _34743, _34745] : [apart_point_and_line(_34745, _34743), -(distinct_points(_34745, _34741)), -(apart_point_and_line(_34741, _34743))], (94 ^ _31880) ^ [_35065, _35067, _35069] : [apart_point_and_line(_35069, _35067), -(distinct_lines(_35067, _35065)), -(apart_point_and_line(_35069, _35065))], (104 ^ _31880) ^ [_35369, _35371, _35373] : [convergent_lines(_35373, _35371), -(distinct_lines(_35371, _35369)), -(convergent_lines(_35373, _35369))]], input).
% 0.32/1.38  ncf('1',plain,[apart_point_and_line(177 ^ [], 178 ^ [])],start(181 ^ 0)).
% 0.32/1.38  ncf('1.1',plain,[-(apart_point_and_line(177 ^ [], 178 ^ [])), distinct_lines(178 ^ [], orthogonal_through_point(179 ^ [], 177 ^ [])), -(apart_point_and_line(177 ^ [], orthogonal_through_point(179 ^ [], 177 ^ []))), -(unorthogonal_lines(178 ^ [], 179 ^ [])), -(unorthogonal_lines(orthogonal_through_point(179 ^ [], 177 ^ []), 179 ^ []))],extension(160 ^ 1,bind([[_37303, _37305, _37307, _37309], [179 ^ [], orthogonal_through_point(179 ^ [], 177 ^ []), 178 ^ [], 177 ^ []]]))).
% 0.32/1.38  ncf('1.1.1',plain,[-(distinct_lines(178 ^ [], orthogonal_through_point(179 ^ [], 177 ^ [])))],extension(185 ^ 2)).
% 0.32/1.38  ncf('1.1.2',plain,[apart_point_and_line(177 ^ [], orthogonal_through_point(179 ^ [], 177 ^ []))],extension(158 ^ 2,bind([[_37183, _37185], [179 ^ [], 177 ^ []]]))).
% 0.32/1.38  ncf('1.1.3',plain,[unorthogonal_lines(178 ^ [], 179 ^ [])],extension(183 ^ 2)).
% 0.32/1.38  ncf('1.1.4',plain,[unorthogonal_lines(orthogonal_through_point(179 ^ [], 177 ^ []), 179 ^ [])],extension(156 ^ 2,bind([[_37087, _37089], [179 ^ [], 177 ^ []]]))).
% 0.32/1.38  %-----------------------------------------------------
% 0.32/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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