%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO232+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n023.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 11:12:18 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
% 0.03/0.11  % Problem  : GEO232+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n023.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 04:48:13 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, [(393 ^ _51179) ^ [] : [-(line(391 ^ []))], (395 ^ _51179) ^ [] : [unequally_directed_lines(391 ^ [], reverse_line(391 ^ []))], (12 ^ _51179) ^ [_51577, _51579] : [13 ^ _51179 : [(14 ^ _51179) ^ [] : [left_apart_point(_51579, _51577)], (16 ^ _51179) ^ [] : [left_apart_point(_51579, reverse_line(_51577))]], -(apart_point_and_line(_51579, _51577))], (2 ^ _51179) ^ [_51321, _51323] : [apart_point_and_line(_51323, _51321), -(left_apart_point(_51323, _51321)), -(left_apart_point(_51323, reverse_line(_51321)))], (20 ^ _51179) ^ [_51896, _51898] : [convergent_lines(_51898, _51896), 23 ^ _51179 : [(24 ^ _51179) ^ [] : [-(unequally_directed_lines(_51898, _51896))], (26 ^ _51179) ^ [] : [-(unequally_directed_lines(_51898, reverse_line(_51896)))]]], (28 ^ _51179) ^ [_52137, _52139] : [-(convergent_lines(_52139, _52137)), unequally_directed_lines(_52139, _52137), unequally_directed_lines(_52139, reverse_line(_52137))], (38 ^ _51179) ^ [_52485, _52487, _52489] : [divides_points(_52485, _52489, _52487), 43 ^ _51179 : [(44 ^ _51179) ^ [] : [-(left_apart_point(_52489, _52485))], (46 ^ _51179) ^ [] : [-(left_apart_point(_52487, reverse_line(_52485)))]], 47 ^ _51179 : [(48 ^ _51179) ^ [] : [-(left_apart_point(_52489, reverse_line(_52485)))], (50 ^ _51179) ^ [] : [-(left_apart_point(_52487, _52485))]]], (52 ^ _51179) ^ [_52911, _52913, _52915] : [-(divides_points(_52911, _52915, _52913)), 53 ^ _51179 : [(54 ^ _51179) ^ [] : [left_apart_point(_52915, _52911), left_apart_point(_52913, reverse_line(_52911))], (60 ^ _51179) ^ [] : [left_apart_point(_52915, reverse_line(_52911)), left_apart_point(_52913, _52911)]]], (68 ^ _51179) ^ [_53444, _53446, _53448] : [before_on_line(_53448, _53446, _53444), 71 ^ _51179 : [(72 ^ _51179) ^ [] : [-(distinct_points(_53446, _53444))], (74 ^ _51179) ^ [] : [left_apart_point(_53446, _53448)], (76 ^ _51179) ^ [] : [left_apart_point(_53446, reverse_line(_53448))], (78 ^ _51179) ^ [] : [left_apart_point(_53444, _53448)], (80 ^ _51179) ^ [] : [left_apart_point(_53444, reverse_line(_53448))], (82 ^ _51179) ^ [] : [unequally_directed_lines(_53448, line_connecting(_53446, _53444))]]], (84 ^ _51179) ^ [_54014, _54016, _54018] : [-(before_on_line(_54018, _54016, _54014)), distinct_points(_54016, _54014), -(left_apart_point(_54016, _54018)), -(left_apart_point(_54016, reverse_line(_54018))), -(unequally_directed_lines(_54018, line_connecting(_54016, _54014))), -(left_apart_point(_54014, _54018)), -(left_apart_point(_54014, reverse_line(_54018)))], (110 ^ _51179) ^ [_54783, _54785, _54787, _54789] : [between_on_line(_54789, _54787, _54785, _54783), 115 ^ _51179 : [(116 ^ _51179) ^ [] : [-(before_on_line(_54789, _54787, _54785))], (118 ^ _51179) ^ [] : [-(before_on_line(_54789, _54785, _54783))]], 119 ^ _51179 : [(120 ^ _51179) ^ [] : [-(before_on_line(_54789, _54783, _54785))], (122 ^ _51179) ^ [] : [-(before_on_line(_54789, _54785, _54787))]]], (124 ^ _51179) ^ [_55225, _55227, _55229, _55231] : [-(between_on_line(_55231, _55229, _55227, _55225)), 125 ^ _51179 : [(126 ^ _51179) ^ [] : [before_on_line(_55231, _55229, _55227), before_on_line(_55231, _55227, _55225)], (132 ^ _51179) ^ [] : [before_on_line(_55231, _55225, _55227), before_on_line(_55231, _55227, _55229)]]], (140 ^ _51179) ^ [_55703] : [distinct_points(_55703, _55703)], (142 ^ _51179) ^ [_55824, _55826, _55828] : [distinct_points(_55828, _55826), -(distinct_points(_55828, _55824)), -(distinct_points(_55826, _55824))], (152 ^ _51179) ^ [_56104] : [distinct_lines(_56104, _56104)], (154 ^ _51179) ^ [_56225, _56227, _56229] : [distinct_lines(_56229, _56227), -(distinct_lines(_56229, _56225)), -(distinct_lines(_56227, _56225))], (164 ^ _51179) ^ [_56505] : [unequally_directed_lines(_56505, _56505)], (166 ^ _51179) ^ [_56626, _56628, _56630] : [unequally_directed_lines(_56630, _56628), -(unequally_directed_lines(_56630, _56626)), -(unequally_directed_lines(_56628, _56626))], (176 ^ _51179) ^ [_56950, _56952, _56954] : [unequally_directed_lines(_56954, _56952), unequally_directed_lines(_56954, reverse_line(_56952)), 185 ^ _51179 : [(186 ^ _51179) ^ [] : [-(unequally_directed_lines(_56954, _56950))], (188 ^ _51179) ^ [] : [-(unequally_directed_lines(_56954, reverse_line(_56950)))]], 189 ^ _51179 : [(190 ^ _51179) ^ [] : [-(unequally_directed_lines(_56952, _56950))], (192 ^ _51179) ^ [] : [-(unequally_directed_lines(_56952, reverse_line(_56950)))]]], (194 ^ _51179) ^ [_57521, _57523] : [line(_57523), line(_57521), -(unequally_directed_lines(_57523, _57521)), -(unequally_directed_lines(_57523, reverse_line(_57521)))], (208 ^ _51179) ^ [_57912, _57914] : [unequally_directed_lines(_57914, _57912), unequally_directed_lines(_57914, reverse_line(_57912)), -(left_convergent_lines(_57914, _57912)), -(left_convergent_lines(_57914, reverse_line(_57912)))], (222 ^ _51179) ^ [_58315, _58317] : [left_apart_point(_58317, _58315)], (224 ^ _51179) ^ [_58360, _58362] : [left_apart_point(_58362, reverse_line(_58360))], (226 ^ _51179) ^ [_58477, _58479] : [left_convergent_lines(_58479, _58477)], (228 ^ _51179) ^ [_58522, _58524] : [left_convergent_lines(_58524, reverse_line(_58522))], (230 ^ _51179) ^ [_58635, _58637] : [-(line(line_connecting(_58637, _58635))), point(_58637), point(_58635), distinct_points(_58637, _58635)], (244 ^ _51179) ^ [_59023, _59025] : [-(point(intersection_point(_59025, _59023))), line(_59025), line(_59023), unequally_directed_lines(_59025, _59023), unequally_directed_lines(_59025, reverse_line(_59023))], (262 ^ _51179) ^ [_59504, _59506] : [-(line(parallel_through_point(_59506, _59504))), point(_59504), line(_59506)], (272 ^ _51179) ^ [_59789] : [line(_59789), -(line(reverse_line(_59789)))], (278 ^ _51179) ^ [_59993, _59995] : [distinct_points(_59995, _59993), 281 ^ _51179 : [(282 ^ _51179) ^ [] : [apart_point_and_line(_59995, line_connecting(_59995, _59993))], (284 ^ _51179) ^ [] : [apart_point_and_line(_59993, line_connecting(_59995, _59993))]]], (286 ^ _51179) ^ [_60292, _60294] : [293 ^ _51179 : [(294 ^ _51179) ^ [] : [apart_point_and_line(intersection_point(_60294, _60292), _60294)], (296 ^ _51179) ^ [] : [apart_point_and_line(intersection_point(_60294, _60292), _60292)]], unequally_directed_lines(_60294, _60292), unequally_directed_lines(_60294, reverse_line(_60292))], (298 ^ _51179) ^ [_60668, _60670] : [apart_point_and_line(_60670, parallel_through_point(_60668, _60670))], (300 ^ _51179) ^ [_60750] : [distinct_lines(_60750, reverse_line(_60750))], (302 ^ _51179) ^ [_60843, _60845] : [unequally_directed_lines(line_connecting(_60845, _60843), reverse_line(line_connecting(_60843, _60845)))], (304 ^ _51179) ^ [_60944, _60946] : [unequally_directed_lines(parallel_through_point(_60944, _60946), _60944)], (306 ^ _51179) ^ [_61084, _61086, _61088, _61090] : [distinct_points(_61090, _61088), distinct_lines(_61086, _61084), -(left_apart_point(_61090, _61086)), -(left_apart_point(_61088, _61086)), -(left_apart_point(_61090, _61084)), -(left_apart_point(_61088, _61084)), -(left_apart_point(_61090, reverse_line(_61086))), -(left_apart_point(_61088, reverse_line(_61086))), -(left_apart_point(_61090, reverse_line(_61084))), -(left_apart_point(_61088, reverse_line(_61084)))], (344 ^ _51179) ^ [_62121, _62123, _62125] : [distinct_points(_62125, _62123), left_apart_point(_62125, _62121), -(left_apart_point(_62123, _62121)), -(left_convergent_lines(line_connecting(_62125, _62123), _62121))], (358 ^ _51179) ^ [_62546, _62548, _62550] : [left_apart_point(_62550, _62546), -(distinct_points(_62550, _62548)), -(left_apart_point(_62548, _62546))], (382 ^ _51179) ^ [_63273, _63275, _63277] : [left_convergent_lines(_63277, _63275), -(unequally_directed_lines(_63275, _63273)), -(left_convergent_lines(_63277, _63273))], (368 ^ _51179) ^ [_62870, _62872, _62874] : [left_apart_point(_62874, _62872), unequally_directed_lines(_62872, _62870), -(distinct_lines(_62872, _62870)), -(left_apart_point(_62874, reverse_line(_62870)))]], input).
% 0.34/1.37  ncf('1',plain,[unequally_directed_lines(391 ^ [], 391 ^ [])],start(164 ^ 0,bind([[_56505], [391 ^ []]]))).
% 0.34/1.37  ncf('1.1',plain,[-(unequally_directed_lines(391 ^ [], 391 ^ [])), line(391 ^ []), line(391 ^ []), -(unequally_directed_lines(391 ^ [], reverse_line(391 ^ [])))],extension(194 ^ 1,bind([[_57521, _57523], [391 ^ [], 391 ^ []]]))).
% 0.34/1.37  ncf('1.1.1',plain,[-(line(391 ^ []))],extension(393 ^ 2)).
% 0.34/1.37  ncf('1.1.2',plain,[-(line(391 ^ []))],lemmata('[1].x')).
% 0.34/1.37  ncf('1.1.3',plain,[unequally_directed_lines(391 ^ [], reverse_line(391 ^ []))],extension(395 ^ 2)).
% 0.34/1.37  %-----------------------------------------------------
% 0.34/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------