TSTP Solution File: GEO218+1 by nanoCoP---2.0

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% File     : nanoCoP---2.0
% Problem  : GEO218+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n014.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 0.28s 1.38s
% Output   : Proof 0.28s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GEO218+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n014.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 04:35:42 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.28/1.38  
% 0.28/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.28/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.28/1.38  %-----------------------------------------------------
% 0.28/1.38  ncf(matrix, plain, [(151 ^ _27528) ^ [] : [convergent_lines(147 ^ [], 148 ^ [])], (153 ^ _27528) ^ [] : [unorthogonal_lines(147 ^ [], 149 ^ [])], (155 ^ _27528) ^ [] : [-(unorthogonal_lines(148 ^ [], 149 ^ []))], (114 ^ _27528) ^ [_31353, _31355] : [-(convergent_lines(_31355, _31353)), -(unorthogonal_lines(_31355, _31353))], (138 ^ _27528) ^ [_32147, _32149, _32151] : [convergent_lines(_32149, _32147), -(unorthogonal_lines(_32151, _32149)), -(unorthogonal_lines(_32151, _32147))], (120 ^ _27528) ^ [_31582, _31584, _31586] : [123 ^ _27528 : [(124 ^ _27528) ^ [] : [-(convergent_lines(_31586, _31584))], (126 ^ _27528) ^ [] : [-(unorthogonal_lines(_31586, _31584))]], 127 ^ _27528 : [(128 ^ _27528) ^ [] : [-(convergent_lines(_31586, _31582))], (130 ^ _27528) ^ [] : [-(unorthogonal_lines(_31586, _31582))]], convergent_lines(_31584, _31582), unorthogonal_lines(_31584, _31582)], (2 ^ _27528) ^ [_27631] : [distinct_points(_27631, _27631)], (4 ^ _27528) ^ [_27708] : [distinct_lines(_27708, _27708)], (6 ^ _27528) ^ [_27785] : [convergent_lines(_27785, _27785)], (8 ^ _27528) ^ [_27906, _27908, _27910] : [distinct_points(_27910, _27908), -(distinct_points(_27910, _27906)), -(distinct_points(_27908, _27906))], (18 ^ _27528) ^ [_28230, _28232, _28234] : [distinct_lines(_28234, _28232), -(distinct_lines(_28234, _28230)), -(distinct_lines(_28232, _28230))], (28 ^ _27528) ^ [_28554, _28556, _28558] : [convergent_lines(_28558, _28556), -(convergent_lines(_28558, _28554)), -(convergent_lines(_28556, _28554))], (38 ^ _27528) ^ [_28864, _28866] : [distinct_points(_28866, _28864), apart_point_and_line(_28866, line_connecting(_28866, _28864))], (44 ^ _27528) ^ [_29081, _29083] : [distinct_points(_29083, _29081), apart_point_and_line(_29081, line_connecting(_29083, _29081))], (50 ^ _27528) ^ [_29298, _29300] : [convergent_lines(_29300, _29298), apart_point_and_line(intersection_point(_29300, _29298), _29300)], (56 ^ _27528) ^ [_29515, _29517] : [convergent_lines(_29517, _29515), apart_point_and_line(intersection_point(_29517, _29515), _29515)], (62 ^ _27528) ^ [_29760, _29762, _29764, _29766] : [distinct_points(_29766, _29764), distinct_lines(_29762, _29760), -(apart_point_and_line(_29766, _29762)), -(apart_point_and_line(_29766, _29760)), -(apart_point_and_line(_29764, _29762)), -(apart_point_and_line(_29764, _29760))], (84 ^ _27528) ^ [_30389, _30391, _30393] : [apart_point_and_line(_30393, _30391), -(distinct_points(_30393, _30389)), -(apart_point_and_line(_30389, _30391))], (94 ^ _27528) ^ [_30713, _30715, _30717] : [apart_point_and_line(_30717, _30715), -(distinct_lines(_30715, _30713)), -(apart_point_and_line(_30717, _30713))], (104 ^ _27528) ^ [_31017, _31019, _31021] : [convergent_lines(_31021, _31019), -(distinct_lines(_31019, _31017)), -(convergent_lines(_31021, _31017))]], input).
% 0.28/1.38  ncf('1',plain,[convergent_lines(147 ^ [], 148 ^ [])],start(151 ^ 0)).
% 0.28/1.38  ncf('1.1',plain,[-(convergent_lines(147 ^ [], 148 ^ [])), convergent_lines(147 ^ [], 149 ^ []), -(convergent_lines(149 ^ [], 148 ^ []))],extension(28 ^ 1,bind([[_28554, _28556, _28558], [148 ^ [], 149 ^ [], 147 ^ []]]))).
% 0.28/1.38  ncf('1.1.1',plain,[-(convergent_lines(147 ^ [], 149 ^ [])), -(unorthogonal_lines(147 ^ [], 149 ^ []))],extension(114 ^ 2,bind([[_31353, _31355], [149 ^ [], 147 ^ []]]))).
% 0.28/1.38  ncf('1.1.1.1',plain,[unorthogonal_lines(147 ^ [], 149 ^ [])],extension(153 ^ 3)).
% 0.28/1.38  ncf('1.1.2',plain,[convergent_lines(149 ^ [], 148 ^ []), -(convergent_lines(149 ^ [], 149 ^ [])), -(convergent_lines(148 ^ [], 149 ^ []))],extension(28 ^ 2,bind([[_28554, _28556, _28558], [149 ^ [], 148 ^ [], 149 ^ []]]))).
% 0.28/1.38  ncf('1.1.2.1',plain,[convergent_lines(149 ^ [], 149 ^ []), -(unorthogonal_lines(147 ^ [], 149 ^ [])), -(unorthogonal_lines(147 ^ [], 149 ^ []))],extension(138 ^ 3,bind([[_32147, _32149, _32151], [149 ^ [], 149 ^ [], 147 ^ []]]))).
% 0.28/1.38  ncf('1.1.2.1.1',plain,[unorthogonal_lines(147 ^ [], 149 ^ [])],extension(153 ^ 4)).
% 0.28/1.38  ncf('1.1.2.1.2',plain,[unorthogonal_lines(147 ^ [], 149 ^ [])],extension(153 ^ 4)).
% 0.28/1.38  ncf('1.1.2.2',plain,[convergent_lines(148 ^ [], 149 ^ []), 124 : -(convergent_lines(147 ^ [], 148 ^ [])), 130 : -(unorthogonal_lines(147 ^ [], 149 ^ [])), 130 : unorthogonal_lines(148 ^ [], 149 ^ [])],extension(120 ^ 3,bind([[_31582, _31584, _31586], [149 ^ [], 148 ^ [], 147 ^ []]]))).
% 0.28/1.38  ncf('1.1.2.2.1',plain,[convergent_lines(147 ^ [], 148 ^ [])],reduction('1')).
% 0.28/1.38  ncf('1.1.2.2.2',plain,[unorthogonal_lines(147 ^ [], 149 ^ [])],extension(153 ^ 6)).
% 0.28/1.38  ncf('1.1.2.2.3',plain,[-(unorthogonal_lines(148 ^ [], 149 ^ []))],extension(155 ^ 4)).
% 0.28/1.38  %-----------------------------------------------------
% 0.28/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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