%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO225+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n024.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 11:12:17 EDT 2023

% Result   : Theorem 0.34s 1.37s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO225+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n024.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 04:18:36 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.34/1.37  
% 0.34/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.37  %-----------------------------------------------------
% 0.34/1.37  ncf(matrix, plain, [(164 ^ _27120) ^ [] : [-(point(161 ^ []))], (166 ^ _27120) ^ [] : [-(point(162 ^ []))], (168 ^ _27120) ^ [] : [-(distinct_points(161 ^ [], 162 ^ []))], (170 ^ _27120) ^ [_32596] : [-(line(_32596))], (172 ^ _27120) ^ [_32654] : [-(apart_point_and_line(161 ^ [], _32654)), -(apart_point_and_line(162 ^ [], _32654))], (114 ^ _27120) ^ [_30945, _30947] : [-(line(line_connecting(_30947, _30945))), point(_30947), point(_30945), distinct_points(_30947, _30945)], (128 ^ _27120) ^ [_31333, _31335] : [-(point(intersection_point(_31335, _31333))), line(_31335), line(_31333), convergent_lines(_31335, _31333)], (142 ^ _27120) ^ [_31721, _31723] : [-(line(parallel_through_point(_31723, _31721))), line(_31723), point(_31721)], (152 ^ _27120) ^ [_32000, _32002] : [-(line(orthogonal_through_point(_32002, _32000))), line(_32002), point(_32000)], (2 ^ _27120) ^ [_27223] : [distinct_points(_27223, _27223)], (4 ^ _27120) ^ [_27300] : [distinct_lines(_27300, _27300)], (6 ^ _27120) ^ [_27377] : [convergent_lines(_27377, _27377)], (8 ^ _27120) ^ [_27498, _27500, _27502] : [distinct_points(_27502, _27500), -(distinct_points(_27502, _27498)), -(distinct_points(_27500, _27498))], (18 ^ _27120) ^ [_27822, _27824, _27826] : [distinct_lines(_27826, _27824), -(distinct_lines(_27826, _27822)), -(distinct_lines(_27824, _27822))], (28 ^ _27120) ^ [_28146, _28148, _28150] : [convergent_lines(_28150, _28148), -(convergent_lines(_28150, _28146)), -(convergent_lines(_28148, _28146))], (38 ^ _27120) ^ [_28456, _28458] : [distinct_points(_28458, _28456), apart_point_and_line(_28458, line_connecting(_28458, _28456))], (44 ^ _27120) ^ [_28673, _28675] : [distinct_points(_28675, _28673), apart_point_and_line(_28673, line_connecting(_28675, _28673))], (50 ^ _27120) ^ [_28890, _28892] : [convergent_lines(_28892, _28890), apart_point_and_line(intersection_point(_28892, _28890), _28892)], (56 ^ _27120) ^ [_29107, _29109] : [convergent_lines(_29109, _29107), apart_point_and_line(intersection_point(_29109, _29107), _29107)], (62 ^ _27120) ^ [_29352, _29354, _29356, _29358] : [distinct_points(_29358, _29356), distinct_lines(_29354, _29352), -(apart_point_and_line(_29358, _29354)), -(apart_point_and_line(_29358, _29352)), -(apart_point_and_line(_29356, _29354)), -(apart_point_and_line(_29356, _29352))], (84 ^ _27120) ^ [_29981, _29983, _29985] : [apart_point_and_line(_29985, _29983), -(distinct_points(_29985, _29981)), -(apart_point_and_line(_29981, _29983))], (94 ^ _27120) ^ [_30305, _30307, _30309] : [apart_point_and_line(_30309, _30307), -(distinct_lines(_30307, _30305)), -(apart_point_and_line(_30309, _30305))], (104 ^ _27120) ^ [_30609, _30611, _30613] : [convergent_lines(_30613, _30611), -(distinct_lines(_30611, _30609)), -(convergent_lines(_30613, _30609))]], input).
% 0.34/1.37  ncf('1',plain,[distinct_points(161 ^ [], 162 ^ []), apart_point_and_line(161 ^ [], line_connecting(161 ^ [], 162 ^ []))],start(38 ^ 0,bind([[_28456, _28458], [162 ^ [], 161 ^ []]]))).
% 0.34/1.37  ncf('1.1',plain,[-(distinct_points(161 ^ [], 162 ^ []))],extension(168 ^ 1)).
% 0.34/1.37  ncf('1.2',plain,[-(apart_point_and_line(161 ^ [], line_connecting(161 ^ [], 162 ^ []))), -(apart_point_and_line(162 ^ [], line_connecting(161 ^ [], 162 ^ [])))],extension(172 ^ 1,bind([[_32654], [line_connecting(161 ^ [], 162 ^ [])]]))).
% 0.34/1.37  ncf('1.2.1',plain,[apart_point_and_line(162 ^ [], line_connecting(161 ^ [], 162 ^ [])), distinct_points(161 ^ [], 162 ^ [])],extension(44 ^ 2,bind([[_28673, _28675], [162 ^ [], 161 ^ []]]))).
% 0.34/1.37  ncf('1.2.1.1',plain,[-(distinct_points(161 ^ [], 162 ^ []))],lemmata('x')).
% 0.34/1.37  %-----------------------------------------------------
% 0.34/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------