TSTP Solution File: GEO245+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO245+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n006.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 11:12:20 EDT 2023

% Result   : Theorem 0.33s 1.38s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO245+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n006.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 04:09:06 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.33/1.38  
% 0.33/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  ncf(matrix, plain, [(395 ^ _51891) ^ [] : [-(distinct_points(391 ^ [], 392 ^ []))], (397 ^ _51891) ^ [] : [-(left_apart_point(393 ^ [], line_connecting(391 ^ [], 392 ^ [])))], (399 ^ _51891) ^ [] : [left_apart_point(392 ^ [], reverse_line(line_connecting(391 ^ [], 393 ^ [])))], (12 ^ _51891) ^ [_52289, _52291] : [13 ^ _51891 : [(14 ^ _51891) ^ [] : [left_apart_point(_52291, _52289)], (16 ^ _51891) ^ [] : [left_apart_point(_52291, reverse_line(_52289))]], -(apart_point_and_line(_52291, _52289))], (2 ^ _51891) ^ [_52033, _52035] : [apart_point_and_line(_52035, _52033), -(left_apart_point(_52035, _52033)), -(left_apart_point(_52035, reverse_line(_52033)))], (20 ^ _51891) ^ [_52608, _52610] : [convergent_lines(_52610, _52608), 23 ^ _51891 : [(24 ^ _51891) ^ [] : [-(unequally_directed_lines(_52610, _52608))], (26 ^ _51891) ^ [] : [-(unequally_directed_lines(_52610, reverse_line(_52608)))]]], (28 ^ _51891) ^ [_52849, _52851] : [-(convergent_lines(_52851, _52849)), unequally_directed_lines(_52851, _52849), unequally_directed_lines(_52851, reverse_line(_52849))], (38 ^ _51891) ^ [_53197, _53199, _53201] : [divides_points(_53197, _53201, _53199), 43 ^ _51891 : [(44 ^ _51891) ^ [] : [-(left_apart_point(_53201, _53197))], (46 ^ _51891) ^ [] : [-(left_apart_point(_53199, reverse_line(_53197)))]], 47 ^ _51891 : [(48 ^ _51891) ^ [] : [-(left_apart_point(_53201, reverse_line(_53197)))], (50 ^ _51891) ^ [] : [-(left_apart_point(_53199, _53197))]]], (52 ^ _51891) ^ [_53623, _53625, _53627] : [-(divides_points(_53623, _53627, _53625)), 53 ^ _51891 : [(54 ^ _51891) ^ [] : [left_apart_point(_53627, _53623), left_apart_point(_53625, reverse_line(_53623))], (60 ^ _51891) ^ [] : [left_apart_point(_53627, reverse_line(_53623)), left_apart_point(_53625, _53623)]]], (68 ^ _51891) ^ [_54156, _54158, _54160] : [before_on_line(_54160, _54158, _54156), 71 ^ _51891 : [(72 ^ _51891) ^ [] : [-(distinct_points(_54158, _54156))], (74 ^ _51891) ^ [] : [left_apart_point(_54158, _54160)], (76 ^ _51891) ^ [] : [left_apart_point(_54158, reverse_line(_54160))], (78 ^ _51891) ^ [] : [left_apart_point(_54156, _54160)], (80 ^ _51891) ^ [] : [left_apart_point(_54156, reverse_line(_54160))], (82 ^ _51891) ^ [] : [unequally_directed_lines(_54160, line_connecting(_54158, _54156))]]], (84 ^ _51891) ^ [_54726, _54728, _54730] : [-(before_on_line(_54730, _54728, _54726)), distinct_points(_54728, _54726), -(left_apart_point(_54728, _54730)), -(left_apart_point(_54728, reverse_line(_54730))), -(unequally_directed_lines(_54730, line_connecting(_54728, _54726))), -(left_apart_point(_54726, _54730)), -(left_apart_point(_54726, reverse_line(_54730)))], (110 ^ _51891) ^ [_55495, _55497, _55499, _55501] : [between_on_line(_55501, _55499, _55497, _55495), 115 ^ _51891 : [(116 ^ _51891) ^ [] : [-(before_on_line(_55501, _55499, _55497))], (118 ^ _51891) ^ [] : [-(before_on_line(_55501, _55497, _55495))]], 119 ^ _51891 : [(120 ^ _51891) ^ [] : [-(before_on_line(_55501, _55495, _55497))], (122 ^ _51891) ^ [] : [-(before_on_line(_55501, _55497, _55499))]]], (124 ^ _51891) ^ [_55937, _55939, _55941, _55943] : [-(between_on_line(_55943, _55941, _55939, _55937)), 125 ^ _51891 : [(126 ^ _51891) ^ [] : [before_on_line(_55943, _55941, _55939), before_on_line(_55943, _55939, _55937)], (132 ^ _51891) ^ [] : [before_on_line(_55943, _55937, _55939), before_on_line(_55943, _55939, _55941)]]], (140 ^ _51891) ^ [_56415] : [distinct_points(_56415, _56415)], (142 ^ _51891) ^ [_56536, _56538, _56540] : [distinct_points(_56540, _56538), -(distinct_points(_56540, _56536)), -(distinct_points(_56538, _56536))], (152 ^ _51891) ^ [_56816] : [distinct_lines(_56816, _56816)], (154 ^ _51891) ^ [_56937, _56939, _56941] : [distinct_lines(_56941, _56939), -(distinct_lines(_56941, _56937)), -(distinct_lines(_56939, _56937))], (164 ^ _51891) ^ [_57217] : [unequally_directed_lines(_57217, _57217)], (166 ^ _51891) ^ [_57338, _57340, _57342] : [unequally_directed_lines(_57342, _57340), -(unequally_directed_lines(_57342, _57338)), -(unequally_directed_lines(_57340, _57338))], (176 ^ _51891) ^ [_57662, _57664, _57666] : [unequally_directed_lines(_57666, _57664), unequally_directed_lines(_57666, reverse_line(_57664)), 185 ^ _51891 : [(186 ^ _51891) ^ [] : [-(unequally_directed_lines(_57666, _57662))], (188 ^ _51891) ^ [] : [-(unequally_directed_lines(_57666, reverse_line(_57662)))]], 189 ^ _51891 : [(190 ^ _51891) ^ [] : [-(unequally_directed_lines(_57664, _57662))], (192 ^ _51891) ^ [] : [-(unequally_directed_lines(_57664, reverse_line(_57662)))]]], (194 ^ _51891) ^ [_58233, _58235] : [line(_58235), line(_58233), -(unequally_directed_lines(_58235, _58233)), -(unequally_directed_lines(_58235, reverse_line(_58233)))], (208 ^ _51891) ^ [_58624, _58626] : [unequally_directed_lines(_58626, _58624), unequally_directed_lines(_58626, reverse_line(_58624)), -(left_convergent_lines(_58626, _58624)), -(left_convergent_lines(_58626, reverse_line(_58624)))], (222 ^ _51891) ^ [_59027, _59029] : [left_apart_point(_59029, _59027)], (224 ^ _51891) ^ [_59072, _59074] : [left_apart_point(_59074, reverse_line(_59072))], (226 ^ _51891) ^ [_59189, _59191] : [left_convergent_lines(_59191, _59189)], (228 ^ _51891) ^ [_59234, _59236] : [left_convergent_lines(_59236, reverse_line(_59234))], (230 ^ _51891) ^ [_59347, _59349] : [-(line(line_connecting(_59349, _59347))), point(_59349), point(_59347), distinct_points(_59349, _59347)], (244 ^ _51891) ^ [_59735, _59737] : [-(point(intersection_point(_59737, _59735))), line(_59737), line(_59735), unequally_directed_lines(_59737, _59735), unequally_directed_lines(_59737, reverse_line(_59735))], (262 ^ _51891) ^ [_60216, _60218] : [-(line(parallel_through_point(_60218, _60216))), point(_60216), line(_60218)], (272 ^ _51891) ^ [_60501] : [line(_60501), -(line(reverse_line(_60501)))], (278 ^ _51891) ^ [_60705, _60707] : [distinct_points(_60707, _60705), 281 ^ _51891 : [(282 ^ _51891) ^ [] : [apart_point_and_line(_60707, line_connecting(_60707, _60705))], (284 ^ _51891) ^ [] : [apart_point_and_line(_60705, line_connecting(_60707, _60705))]]], (286 ^ _51891) ^ [_61004, _61006] : [293 ^ _51891 : [(294 ^ _51891) ^ [] : [apart_point_and_line(intersection_point(_61006, _61004), _61006)], (296 ^ _51891) ^ [] : [apart_point_and_line(intersection_point(_61006, _61004), _61004)]], unequally_directed_lines(_61006, _61004), unequally_directed_lines(_61006, reverse_line(_61004))], (298 ^ _51891) ^ [_61380, _61382] : [apart_point_and_line(_61382, parallel_through_point(_61380, _61382))], (300 ^ _51891) ^ [_61462] : [distinct_lines(_61462, reverse_line(_61462))], (302 ^ _51891) ^ [_61555, _61557] : [unequally_directed_lines(line_connecting(_61557, _61555), reverse_line(line_connecting(_61555, _61557)))], (304 ^ _51891) ^ [_61656, _61658] : [unequally_directed_lines(parallel_through_point(_61656, _61658), _61656)], (306 ^ _51891) ^ [_61796, _61798, _61800, _61802] : [distinct_points(_61802, _61800), distinct_lines(_61798, _61796), -(left_apart_point(_61802, _61798)), -(left_apart_point(_61800, _61798)), -(left_apart_point(_61802, _61796)), -(left_apart_point(_61800, _61796)), -(left_apart_point(_61802, reverse_line(_61798))), -(left_apart_point(_61800, reverse_line(_61798))), -(left_apart_point(_61802, reverse_line(_61796))), -(left_apart_point(_61800, reverse_line(_61796)))], (344 ^ _51891) ^ [_62833, _62835, _62837] : [distinct_points(_62837, _62835), left_apart_point(_62837, _62833), -(left_apart_point(_62835, _62833)), -(left_convergent_lines(line_connecting(_62837, _62835), _62833))], (358 ^ _51891) ^ [_63258, _63260, _63262] : [left_apart_point(_63262, _63258), -(distinct_points(_63262, _63260)), -(left_apart_point(_63260, _63258))], (382 ^ _51891) ^ [_63985, _63987, _63989] : [left_convergent_lines(_63989, _63987), -(unequally_directed_lines(_63987, _63985)), -(left_convergent_lines(_63989, _63985))], (368 ^ _51891) ^ [_63582, _63584, _63586] : [left_apart_point(_63586, _63584), unequally_directed_lines(_63584, _63582), -(distinct_lines(_63584, _63582)), -(left_apart_point(_63586, reverse_line(_63582)))]], input).
% 0.33/1.38  ncf('1',plain,[left_apart_point(393 ^ [], line_connecting(391 ^ [], 392 ^ []))],start(222 ^ 0,bind([[_59027, _59029], [line_connecting(391 ^ [], 392 ^ []), 393 ^ []]]))).
% 0.33/1.38  ncf('1.1',plain,[-(left_apart_point(393 ^ [], line_connecting(391 ^ [], 392 ^ [])))],extension(397 ^ 1)).
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------