%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO173+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n028.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 11:12:03 EDT 2023

% Result   : Theorem 0.33s 1.37s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : GEO173+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n028.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 04:27:03 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.33/1.37  
% 0.33/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.37  %-----------------------------------------------------
% 0.33/1.37  ncf(matrix, plain, [(118 ^ _22327) ^ [] : [-(distinct_points(113 ^ [], 114 ^ []))], (120 ^ _22327) ^ [] : [-(convergent_lines(115 ^ [], 116 ^ []))], (122 ^ _22327) ^ [] : [-(distinct_lines(115 ^ [], line_connecting(113 ^ [], 114 ^ [])))], (124 ^ _22327) ^ [] : [apart_point_and_line(113 ^ [], 115 ^ [])], (126 ^ _22327) ^ [] : [apart_point_and_line(114 ^ [], 115 ^ [])], (2 ^ _22327) ^ [_22410] : [distinct_points(_22410, _22410)], (4 ^ _22327) ^ [_22487] : [distinct_lines(_22487, _22487)], (6 ^ _22327) ^ [_22564] : [convergent_lines(_22564, _22564)], (8 ^ _22327) ^ [_22685, _22687, _22689] : [distinct_points(_22689, _22687), -(distinct_points(_22689, _22685)), -(distinct_points(_22687, _22685))], (18 ^ _22327) ^ [_23009, _23011, _23013] : [distinct_lines(_23013, _23011), -(distinct_lines(_23013, _23009)), -(distinct_lines(_23011, _23009))], (28 ^ _22327) ^ [_23333, _23335, _23337] : [convergent_lines(_23337, _23335), -(convergent_lines(_23337, _23333)), -(convergent_lines(_23335, _23333))], (38 ^ _22327) ^ [_23643, _23645] : [distinct_points(_23645, _23643), apart_point_and_line(_23645, line_connecting(_23645, _23643))], (44 ^ _22327) ^ [_23860, _23862] : [distinct_points(_23862, _23860), apart_point_and_line(_23860, line_connecting(_23862, _23860))], (50 ^ _22327) ^ [_24077, _24079] : [convergent_lines(_24079, _24077), apart_point_and_line(intersection_point(_24079, _24077), _24079)], (56 ^ _22327) ^ [_24294, _24296] : [convergent_lines(_24296, _24294), apart_point_and_line(intersection_point(_24296, _24294), _24294)], (62 ^ _22327) ^ [_24539, _24541, _24543, _24545] : [distinct_points(_24545, _24543), distinct_lines(_24541, _24539), -(apart_point_and_line(_24545, _24541)), -(apart_point_and_line(_24545, _24539)), -(apart_point_and_line(_24543, _24541)), -(apart_point_and_line(_24543, _24539))], (84 ^ _22327) ^ [_25168, _25170, _25172] : [apart_point_and_line(_25172, _25170), -(distinct_points(_25172, _25168)), -(apart_point_and_line(_25168, _25170))], (94 ^ _22327) ^ [_25492, _25494, _25496] : [apart_point_and_line(_25496, _25494), -(distinct_lines(_25494, _25492)), -(apart_point_and_line(_25496, _25492))], (104 ^ _22327) ^ [_25796, _25798, _25800] : [convergent_lines(_25800, _25798), -(distinct_lines(_25798, _25796)), -(convergent_lines(_25800, _25796))]], input).
% 0.33/1.37  ncf('1',plain,[apart_point_and_line(113 ^ [], 115 ^ [])],start(124 ^ 0)).
% 0.33/1.37  ncf('1.1',plain,[-(apart_point_and_line(113 ^ [], 115 ^ [])), distinct_points(113 ^ [], 114 ^ []), distinct_lines(115 ^ [], line_connecting(113 ^ [], 114 ^ [])), -(apart_point_and_line(113 ^ [], line_connecting(113 ^ [], 114 ^ []))), -(apart_point_and_line(114 ^ [], 115 ^ [])), -(apart_point_and_line(114 ^ [], line_connecting(113 ^ [], 114 ^ [])))],extension(62 ^ 1,bind([[_24539, _24541, _24543, _24545], [line_connecting(113 ^ [], 114 ^ []), 115 ^ [], 114 ^ [], 113 ^ []]]))).
% 0.33/1.37  ncf('1.1.1',plain,[-(distinct_points(113 ^ [], 114 ^ []))],extension(118 ^ 2)).
% 0.33/1.37  ncf('1.1.2',plain,[-(distinct_lines(115 ^ [], line_connecting(113 ^ [], 114 ^ [])))],extension(122 ^ 2)).
% 0.33/1.37  ncf('1.1.3',plain,[apart_point_and_line(113 ^ [], line_connecting(113 ^ [], 114 ^ [])), distinct_points(113 ^ [], 114 ^ [])],extension(38 ^ 2,bind([[_23643, _23645], [114 ^ [], 113 ^ []]]))).
% 0.33/1.37  ncf('1.1.3.1',plain,[-(distinct_points(113 ^ [], 114 ^ []))],lemmata('[1].x')).
% 0.33/1.37  ncf('1.1.4',plain,[apart_point_and_line(114 ^ [], 115 ^ [])],extension(126 ^ 2)).
% 0.33/1.37  ncf('1.1.5',plain,[apart_point_and_line(114 ^ [], line_connecting(113 ^ [], 114 ^ [])), distinct_points(113 ^ [], 114 ^ [])],extension(44 ^ 2,bind([[_23860, _23862], [114 ^ [], 113 ^ []]]))).
% 0.33/1.37  ncf('1.1.5.1',plain,[-(distinct_points(113 ^ [], 114 ^ []))],lemmata('[1].x')).
% 0.33/1.37  %-----------------------------------------------------
% 0.33/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------