%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO178+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n016.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 11:12:04 EDT 2023

% Result   : Theorem 0.31s 1.37s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GEO178+2 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.32  % Computer : n016.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit : 300
% 0.13/0.32  % WCLimit  : 300
% 0.13/0.32  % DateTime : Fri May 19 04:54:42 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.31/1.37  
% 0.31/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.31/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/1.37  %-----------------------------------------------------
% 0.31/1.37  ncf(matrix, plain, [(113 ^ _20679) ^ [] : [-(distinct_points(109 ^ [], 110 ^ []))], (115 ^ _20679) ^ [] : [-(apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ [])))], (117 ^ _20679) ^ [] : [distinct_points(111 ^ [], 109 ^ []), distinct_points(111 ^ [], 110 ^ [])], (2 ^ _20679) ^ [_20762] : [distinct_points(_20762, _20762)], (4 ^ _20679) ^ [_20839] : [distinct_lines(_20839, _20839)], (6 ^ _20679) ^ [_20916] : [convergent_lines(_20916, _20916)], (8 ^ _20679) ^ [_21037, _21039, _21041] : [distinct_points(_21041, _21039), -(distinct_points(_21041, _21037)), -(distinct_points(_21039, _21037))], (18 ^ _20679) ^ [_21361, _21363, _21365] : [distinct_lines(_21365, _21363), -(distinct_lines(_21365, _21361)), -(distinct_lines(_21363, _21361))], (28 ^ _20679) ^ [_21685, _21687, _21689] : [convergent_lines(_21689, _21687), -(convergent_lines(_21689, _21685)), -(convergent_lines(_21687, _21685))], (38 ^ _20679) ^ [_22009, _22011, _22013] : [distinct_points(_22013, _22011), apart_point_and_line(_22009, line_connecting(_22013, _22011)), 45 ^ _20679 : [(46 ^ _20679) ^ [] : [-(distinct_points(_22009, _22013))], (48 ^ _20679) ^ [] : [-(distinct_points(_22009, _22011))]]], (50 ^ _20679) ^ [_22415, _22417, _22419] : [convergent_lines(_22419, _22417), 55 ^ _20679 : [(56 ^ _20679) ^ [] : [apart_point_and_line(_22415, _22419)], (58 ^ _20679) ^ [] : [apart_point_and_line(_22415, _22417)]], -(distinct_points(_22415, intersection_point(_22419, _22417)))], (62 ^ _20679) ^ [_22834, _22836, _22838, _22840] : [distinct_points(_22840, _22838), distinct_lines(_22836, _22834), -(apart_point_and_line(_22840, _22836)), -(apart_point_and_line(_22840, _22834)), -(apart_point_and_line(_22838, _22836)), -(apart_point_and_line(_22838, _22834))], (84 ^ _20679) ^ [_23463, _23465, _23467] : [apart_point_and_line(_23467, _23465), -(distinct_points(_23467, _23463)), -(apart_point_and_line(_23463, _23465))], (104 ^ _20679) ^ [_24077, _24079] : [convergent_lines(_24079, _24077), -(distinct_lines(_24079, _24077))], (94 ^ _20679) ^ [_23787, _23789, _23791] : [apart_point_and_line(_23791, _23789), -(distinct_lines(_23789, _23787)), -(apart_point_and_line(_23791, _23787))]], input).
% 0.31/1.37  ncf('1',plain,[distinct_points(111 ^ [], 109 ^ []), distinct_points(111 ^ [], 110 ^ [])],start(117 ^ 0)).
% 0.31/1.37  ncf('1.1',plain,[-(distinct_points(111 ^ [], 109 ^ [])), distinct_points(109 ^ [], 110 ^ []), apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ []))],extension(38 ^ 1,bind([[_22009, _22011, _22013], [111 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.31/1.37  ncf('1.1.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],extension(113 ^ 2)).
% 0.31/1.37  ncf('1.1.2',plain,[-(apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ [])))],extension(115 ^ 2)).
% 0.31/1.37  ncf('1.2',plain,[-(distinct_points(111 ^ [], 110 ^ [])), distinct_points(109 ^ [], 110 ^ []), apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ []))],extension(38 ^ 1,bind([[_22009, _22011, _22013], [111 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.31/1.37  ncf('1.2.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],extension(113 ^ 2)).
% 0.31/1.37  ncf('1.2.2',plain,[-(apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ [])))],extension(115 ^ 2)).
% 0.31/1.37  %-----------------------------------------------------
% 0.31/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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