%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO209+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n031.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 11:12:13 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
% 0.04/0.12  % Problem  : GEO209+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n031.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 05:02:40 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, [(136 ^ _26108) ^ [] : [-(apart_point_and_line(131 ^ [], 132 ^ []))], (138 ^ _26108) ^ [] : [apart_point_and_line(131 ^ [], 133 ^ [])], (140 ^ _26108) ^ [] : [apart_point_and_line(131 ^ [], 134 ^ [])], (142 ^ _26108) ^ [] : [convergent_lines(133 ^ [], 132 ^ [])], (144 ^ _26108) ^ [] : [convergent_lines(134 ^ [], 132 ^ [])], (146 ^ _26108) ^ [] : [-(distinct_lines(133 ^ [], 134 ^ []))], (114 ^ _26108) ^ [_29917, _29919] : [convergent_lines(parallel_through_point(_29917, _29919), _29917)], (116 ^ _26108) ^ [_30013, _30015] : [apart_point_and_line(_30015, parallel_through_point(_30013, _30015))], (118 ^ _26108) ^ [_30119, _30121, _30123] : [distinct_lines(_30121, _30119), -(apart_point_and_line(_30123, _30121)), -(apart_point_and_line(_30123, _30119)), -(convergent_lines(_30121, _30119))], (2 ^ _26108) ^ [_26211] : [distinct_points(_26211, _26211)], (4 ^ _26108) ^ [_26288] : [distinct_lines(_26288, _26288)], (6 ^ _26108) ^ [_26365] : [convergent_lines(_26365, _26365)], (8 ^ _26108) ^ [_26486, _26488, _26490] : [distinct_points(_26490, _26488), -(distinct_points(_26490, _26486)), -(distinct_points(_26488, _26486))], (18 ^ _26108) ^ [_26810, _26812, _26814] : [distinct_lines(_26814, _26812), -(distinct_lines(_26814, _26810)), -(distinct_lines(_26812, _26810))], (28 ^ _26108) ^ [_27134, _27136, _27138] : [convergent_lines(_27138, _27136), -(convergent_lines(_27138, _27134)), -(convergent_lines(_27136, _27134))], (38 ^ _26108) ^ [_27444, _27446] : [distinct_points(_27446, _27444), apart_point_and_line(_27446, line_connecting(_27446, _27444))], (44 ^ _26108) ^ [_27661, _27663] : [distinct_points(_27663, _27661), apart_point_and_line(_27661, line_connecting(_27663, _27661))], (50 ^ _26108) ^ [_27878, _27880] : [convergent_lines(_27880, _27878), apart_point_and_line(intersection_point(_27880, _27878), _27880)], (56 ^ _26108) ^ [_28095, _28097] : [convergent_lines(_28097, _28095), apart_point_and_line(intersection_point(_28097, _28095), _28095)], (62 ^ _26108) ^ [_28340, _28342, _28344, _28346] : [distinct_points(_28346, _28344), distinct_lines(_28342, _28340), -(apart_point_and_line(_28346, _28342)), -(apart_point_and_line(_28346, _28340)), -(apart_point_and_line(_28344, _28342)), -(apart_point_and_line(_28344, _28340))], (84 ^ _26108) ^ [_28969, _28971, _28973] : [apart_point_and_line(_28973, _28971), -(distinct_points(_28973, _28969)), -(apart_point_and_line(_28969, _28971))], (94 ^ _26108) ^ [_29293, _29295, _29297] : [apart_point_and_line(_29297, _29295), -(distinct_lines(_29295, _29293)), -(apart_point_and_line(_29297, _29293))], (104 ^ _26108) ^ [_29597, _29599, _29601] : [convergent_lines(_29601, _29599), -(distinct_lines(_29599, _29597)), -(convergent_lines(_29601, _29597))]], input).
% 0.33/1.37  ncf('1',plain,[apart_point_and_line(131 ^ [], 133 ^ [])],start(138 ^ 0)).
% 0.33/1.37  ncf('1.1',plain,[-(apart_point_and_line(131 ^ [], 133 ^ [])), distinct_lines(133 ^ [], 134 ^ []), -(apart_point_and_line(131 ^ [], 134 ^ [])), -(convergent_lines(133 ^ [], 134 ^ []))],extension(118 ^ 1,bind([[_30119, _30121, _30123], [134 ^ [], 133 ^ [], 131 ^ []]]))).
% 0.33/1.37  ncf('1.1.1',plain,[-(distinct_lines(133 ^ [], 134 ^ []))],extension(146 ^ 2)).
% 0.33/1.37  ncf('1.1.2',plain,[apart_point_and_line(131 ^ [], 134 ^ [])],extension(140 ^ 2)).
% 0.33/1.37  ncf('1.1.3',plain,[convergent_lines(133 ^ [], 134 ^ []), -(convergent_lines(133 ^ [], 132 ^ [])), -(convergent_lines(134 ^ [], 132 ^ []))],extension(28 ^ 2,bind([[_27134, _27136, _27138], [132 ^ [], 134 ^ [], 133 ^ []]]))).
% 0.33/1.37  ncf('1.1.3.1',plain,[convergent_lines(133 ^ [], 132 ^ [])],extension(142 ^ 3)).
% 0.33/1.37  ncf('1.1.3.2',plain,[convergent_lines(134 ^ [], 132 ^ [])],extension(144 ^ 3)).
% 0.33/1.37  %-----------------------------------------------------
% 0.33/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------