TSTP Solution File: GEO221+1 by nanoCoP---2.0

View Problem - Process Solution

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% File     : nanoCoP---2.0
% Problem  : GEO221+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n024.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 11:12:16 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
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO221+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n024.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 03:59:36 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.32/1.38  
% 0.32/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.32/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.38  %-----------------------------------------------------
% 0.32/1.38  ncf(matrix, plain, [(181 ^ _31812) ^ [] : [apart_point_and_line(178 ^ [], orthogonal_through_point(179 ^ [], 177 ^ []))], (183 ^ _31812) ^ [] : [-(distinct_lines(orthogonal_through_point(179 ^ [], 177 ^ []), orthogonal_through_point(179 ^ [], 178 ^ [])))], (114 ^ _31812) ^ [_35641, _35643] : [convergent_lines(parallel_through_point(_35641, _35643), _35641)], (116 ^ _31812) ^ [_35737, _35739] : [apart_point_and_line(_35739, parallel_through_point(_35737, _35739))], (118 ^ _31812) ^ [_35843, _35845, _35847] : [distinct_lines(_35845, _35843), -(apart_point_and_line(_35847, _35845)), -(apart_point_and_line(_35847, _35843)), -(convergent_lines(_35845, _35843))], (132 ^ _31812) ^ [_36251, _36253] : [-(convergent_lines(_36253, _36251)), -(unorthogonal_lines(_36253, _36251))], (138 ^ _31812) ^ [_36476, _36478, _36480] : [convergent_lines(_36480, _36478), unorthogonal_lines(_36480, _36478), 147 ^ _31812 : [(148 ^ _31812) ^ [] : [-(convergent_lines(_36480, _36476))], (150 ^ _31812) ^ [] : [-(unorthogonal_lines(_36480, _36476))]], 151 ^ _31812 : [(152 ^ _31812) ^ [] : [-(convergent_lines(_36478, _36476))], (154 ^ _31812) ^ [] : [-(unorthogonal_lines(_36478, _36476))]]], (156 ^ _31812) ^ [_37019, _37021] : [unorthogonal_lines(orthogonal_through_point(_37019, _37021), _37019)], (158 ^ _31812) ^ [_37115, _37117] : [apart_point_and_line(_37117, orthogonal_through_point(_37115, _37117))], (160 ^ _31812) ^ [_37235, _37237, _37239, _37241] : [distinct_lines(_37239, _37237), -(apart_point_and_line(_37241, _37239)), -(apart_point_and_line(_37241, _37237)), -(unorthogonal_lines(_37239, _37235)), -(unorthogonal_lines(_37237, _37235))], (2 ^ _31812) ^ [_31915] : [distinct_points(_31915, _31915)], (4 ^ _31812) ^ [_31992] : [distinct_lines(_31992, _31992)], (6 ^ _31812) ^ [_32069] : [convergent_lines(_32069, _32069)], (8 ^ _31812) ^ [_32190, _32192, _32194] : [distinct_points(_32194, _32192), -(distinct_points(_32194, _32190)), -(distinct_points(_32192, _32190))], (18 ^ _31812) ^ [_32514, _32516, _32518] : [distinct_lines(_32518, _32516), -(distinct_lines(_32518, _32514)), -(distinct_lines(_32516, _32514))], (28 ^ _31812) ^ [_32838, _32840, _32842] : [convergent_lines(_32842, _32840), -(convergent_lines(_32842, _32838)), -(convergent_lines(_32840, _32838))], (38 ^ _31812) ^ [_33148, _33150] : [distinct_points(_33150, _33148), apart_point_and_line(_33150, line_connecting(_33150, _33148))], (44 ^ _31812) ^ [_33365, _33367] : [distinct_points(_33367, _33365), apart_point_and_line(_33365, line_connecting(_33367, _33365))], (50 ^ _31812) ^ [_33582, _33584] : [convergent_lines(_33584, _33582), apart_point_and_line(intersection_point(_33584, _33582), _33584)], (56 ^ _31812) ^ [_33799, _33801] : [convergent_lines(_33801, _33799), apart_point_and_line(intersection_point(_33801, _33799), _33799)], (62 ^ _31812) ^ [_34044, _34046, _34048, _34050] : [distinct_points(_34050, _34048), distinct_lines(_34046, _34044), -(apart_point_and_line(_34050, _34046)), -(apart_point_and_line(_34050, _34044)), -(apart_point_and_line(_34048, _34046)), -(apart_point_and_line(_34048, _34044))], (84 ^ _31812) ^ [_34673, _34675, _34677] : [apart_point_and_line(_34677, _34675), -(distinct_points(_34677, _34673)), -(apart_point_and_line(_34673, _34675))], (94 ^ _31812) ^ [_34997, _34999, _35001] : [apart_point_and_line(_35001, _34999), -(distinct_lines(_34999, _34997)), -(apart_point_and_line(_35001, _34997))], (104 ^ _31812) ^ [_35301, _35303, _35305] : [convergent_lines(_35305, _35303), -(distinct_lines(_35303, _35301)), -(convergent_lines(_35305, _35301))]], input).
% 0.32/1.38  ncf('1',plain,[apart_point_and_line(178 ^ [], orthogonal_through_point(179 ^ [], 177 ^ []))],start(181 ^ 0)).
% 0.32/1.38  ncf('1.1',plain,[-(apart_point_and_line(178 ^ [], orthogonal_through_point(179 ^ [], 177 ^ []))), distinct_lines(orthogonal_through_point(179 ^ [], 177 ^ []), orthogonal_through_point(179 ^ [], 178 ^ [])), -(apart_point_and_line(178 ^ [], orthogonal_through_point(179 ^ [], 178 ^ []))), -(unorthogonal_lines(orthogonal_through_point(179 ^ [], 177 ^ []), 179 ^ [])), -(unorthogonal_lines(orthogonal_through_point(179 ^ [], 178 ^ []), 179 ^ []))],extension(160 ^ 1,bind([[_37235, _37237, _37239, _37241], [179 ^ [], orthogonal_through_point(179 ^ [], 178 ^ []), orthogonal_through_point(179 ^ [], 177 ^ []), 178 ^ []]]))).
% 0.32/1.38  ncf('1.1.1',plain,[-(distinct_lines(orthogonal_through_point(179 ^ [], 177 ^ []), orthogonal_through_point(179 ^ [], 178 ^ [])))],extension(183 ^ 2)).
% 0.32/1.38  ncf('1.1.2',plain,[apart_point_and_line(178 ^ [], orthogonal_through_point(179 ^ [], 178 ^ []))],extension(158 ^ 2,bind([[_37115, _37117], [179 ^ [], 178 ^ []]]))).
% 0.32/1.38  ncf('1.1.3',plain,[unorthogonal_lines(orthogonal_through_point(179 ^ [], 177 ^ []), 179 ^ [])],extension(156 ^ 2,bind([[_37019, _37021], [179 ^ [], 177 ^ []]]))).
% 0.32/1.38  ncf('1.1.4',plain,[unorthogonal_lines(orthogonal_through_point(179 ^ [], 178 ^ []), 179 ^ [])],extension(156 ^ 2,bind([[_37019, _37021], [179 ^ [], 178 ^ []]]))).
% 0.32/1.38  %-----------------------------------------------------
% 0.32/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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