%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO216+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n002.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 11:12:15 EDT 2023

% Result   : Theorem 0.34s 1.38s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO216+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n002.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 04:31:05 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.34/1.38  
% 0.34/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.34/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.38  %-----------------------------------------------------
% 0.34/1.38  ncf(matrix, plain, [(145 ^ _24266) ^ [] : [unorthogonal_lines(143 ^ [], 143 ^ [])], (110 ^ _24266) ^ [_27916, _27918] : [-(convergent_lines(_27918, _27916)), -(unorthogonal_lines(_27918, _27916))], (134 ^ _24266) ^ [_28710, _28712, _28714] : [convergent_lines(_28712, _28710), -(unorthogonal_lines(_28714, _28712)), -(unorthogonal_lines(_28714, _28710))], (116 ^ _24266) ^ [_28145, _28147, _28149] : [119 ^ _24266 : [(120 ^ _24266) ^ [] : [-(convergent_lines(_28149, _28147))], (122 ^ _24266) ^ [] : [-(unorthogonal_lines(_28149, _28147))]], 123 ^ _24266 : [(124 ^ _24266) ^ [] : [-(convergent_lines(_28149, _28145))], (126 ^ _24266) ^ [] : [-(unorthogonal_lines(_28149, _28145))]], convergent_lines(_28147, _28145), unorthogonal_lines(_28147, _28145)], (2 ^ _24266) ^ [_24369] : [distinct_points(_24369, _24369)], (4 ^ _24266) ^ [_24446] : [distinct_lines(_24446, _24446)], (6 ^ _24266) ^ [_24523] : [convergent_lines(_24523, _24523)], (8 ^ _24266) ^ [_24644, _24646, _24648] : [distinct_points(_24648, _24646), -(distinct_points(_24648, _24644)), -(distinct_points(_24646, _24644))], (18 ^ _24266) ^ [_24968, _24970, _24972] : [distinct_lines(_24972, _24970), -(distinct_lines(_24972, _24968)), -(distinct_lines(_24970, _24968))], (28 ^ _24266) ^ [_25292, _25294, _25296] : [convergent_lines(_25296, _25294), -(convergent_lines(_25296, _25292)), -(convergent_lines(_25294, _25292))], (38 ^ _24266) ^ [_25616, _25618, _25620] : [distinct_points(_25620, _25618), apart_point_and_line(_25616, line_connecting(_25620, _25618)), 45 ^ _24266 : [(46 ^ _24266) ^ [] : [-(distinct_points(_25616, _25620))], (48 ^ _24266) ^ [] : [-(distinct_points(_25616, _25618))]]], (50 ^ _24266) ^ [_26022, _26024, _26026] : [convergent_lines(_26026, _26024), 55 ^ _24266 : [(56 ^ _24266) ^ [] : [apart_point_and_line(_26022, _26026)], (58 ^ _24266) ^ [] : [apart_point_and_line(_26022, _26024)]], -(distinct_points(_26022, intersection_point(_26026, _26024)))], (62 ^ _24266) ^ [_26441, _26443, _26445, _26447] : [distinct_points(_26447, _26445), distinct_lines(_26443, _26441), -(apart_point_and_line(_26447, _26443)), -(apart_point_and_line(_26447, _26441)), -(apart_point_and_line(_26445, _26443)), -(apart_point_and_line(_26445, _26441))], (84 ^ _24266) ^ [_27070, _27072, _27074] : [apart_point_and_line(_27074, _27072), -(distinct_points(_27074, _27070)), -(apart_point_and_line(_27070, _27072))], (104 ^ _24266) ^ [_27684, _27686] : [convergent_lines(_27686, _27684), -(distinct_lines(_27686, _27684))], (94 ^ _24266) ^ [_27394, _27396, _27398] : [apart_point_and_line(_27398, _27396), -(distinct_lines(_27396, _27394)), -(apart_point_and_line(_27398, _27394))]], input).
% 0.34/1.38  ncf('1',plain,[convergent_lines(143 ^ [], 143 ^ [])],start(6 ^ 0,bind([[_24523], [143 ^ []]]))).
% 0.34/1.38  ncf('1.1',plain,[-(convergent_lines(143 ^ [], 143 ^ [])), -(unorthogonal_lines(143 ^ [], 143 ^ []))],extension(110 ^ 1,bind([[_27916, _27918], [143 ^ [], 143 ^ []]]))).
% 0.34/1.38  ncf('1.1.1',plain,[unorthogonal_lines(143 ^ [], 143 ^ [])],extension(145 ^ 2)).
% 0.34/1.38  %-----------------------------------------------------
% 0.34/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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