%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO233+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n011.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 11:12:19 EDT 2023

% Result   : Theorem 0.51s 1.40s
% Output   : Proof 0.51s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : GEO233+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.13/0.13  % Command  : nanocop.sh %s %d
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri May 19 04:31:03 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.51/1.40  
% 0.51/1.40  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.51/1.40  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.51/1.40  %-----------------------------------------------------
% 0.51/1.40  ncf(matrix, plain, [(393 ^ _53072) ^ [] : [-(unequally_directed_lines(reverse_line(reverse_line(391 ^ [])), 391 ^ []))], (12 ^ _53072) ^ [_53470, _53472] : [13 ^ _53072 : [(14 ^ _53072) ^ [] : [left_apart_point(_53472, _53470)], (16 ^ _53072) ^ [] : [left_apart_point(_53472, reverse_line(_53470))]], -(apart_point_and_line(_53472, _53470))], (2 ^ _53072) ^ [_53214, _53216] : [apart_point_and_line(_53216, _53214), -(left_apart_point(_53216, _53214)), -(left_apart_point(_53216, reverse_line(_53214)))], (20 ^ _53072) ^ [_53789, _53791] : [convergent_lines(_53791, _53789), 23 ^ _53072 : [(24 ^ _53072) ^ [] : [-(unequally_directed_lines(_53791, _53789))], (26 ^ _53072) ^ [] : [-(unequally_directed_lines(_53791, reverse_line(_53789)))]]], (28 ^ _53072) ^ [_54030, _54032] : [-(convergent_lines(_54032, _54030)), unequally_directed_lines(_54032, _54030), unequally_directed_lines(_54032, reverse_line(_54030))], (38 ^ _53072) ^ [_54378, _54380, _54382] : [divides_points(_54378, _54382, _54380), 43 ^ _53072 : [(44 ^ _53072) ^ [] : [-(left_apart_point(_54382, _54378))], (46 ^ _53072) ^ [] : [-(left_apart_point(_54380, reverse_line(_54378)))]], 47 ^ _53072 : [(48 ^ _53072) ^ [] : [-(left_apart_point(_54382, reverse_line(_54378)))], (50 ^ _53072) ^ [] : [-(left_apart_point(_54380, _54378))]]], (52 ^ _53072) ^ [_54804, _54806, _54808] : [-(divides_points(_54804, _54808, _54806)), 53 ^ _53072 : [(54 ^ _53072) ^ [] : [left_apart_point(_54808, _54804), left_apart_point(_54806, reverse_line(_54804))], (60 ^ _53072) ^ [] : [left_apart_point(_54808, reverse_line(_54804)), left_apart_point(_54806, _54804)]]], (68 ^ _53072) ^ [_55337, _55339, _55341] : [before_on_line(_55341, _55339, _55337), 71 ^ _53072 : [(72 ^ _53072) ^ [] : [-(distinct_points(_55339, _55337))], (74 ^ _53072) ^ [] : [left_apart_point(_55339, _55341)], (76 ^ _53072) ^ [] : [left_apart_point(_55339, reverse_line(_55341))], (78 ^ _53072) ^ [] : [left_apart_point(_55337, _55341)], (80 ^ _53072) ^ [] : [left_apart_point(_55337, reverse_line(_55341))], (82 ^ _53072) ^ [] : [unequally_directed_lines(_55341, line_connecting(_55339, _55337))]]], (84 ^ _53072) ^ [_55907, _55909, _55911] : [-(before_on_line(_55911, _55909, _55907)), distinct_points(_55909, _55907), -(left_apart_point(_55909, _55911)), -(left_apart_point(_55909, reverse_line(_55911))), -(unequally_directed_lines(_55911, line_connecting(_55909, _55907))), -(left_apart_point(_55907, _55911)), -(left_apart_point(_55907, reverse_line(_55911)))], (110 ^ _53072) ^ [_56676, _56678, _56680, _56682] : [between_on_line(_56682, _56680, _56678, _56676), 115 ^ _53072 : [(116 ^ _53072) ^ [] : [-(before_on_line(_56682, _56680, _56678))], (118 ^ _53072) ^ [] : [-(before_on_line(_56682, _56678, _56676))]], 119 ^ _53072 : [(120 ^ _53072) ^ [] : [-(before_on_line(_56682, _56676, _56678))], (122 ^ _53072) ^ [] : [-(before_on_line(_56682, _56678, _56680))]]], (124 ^ _53072) ^ [_57118, _57120, _57122, _57124] : [-(between_on_line(_57124, _57122, _57120, _57118)), 125 ^ _53072 : [(126 ^ _53072) ^ [] : [before_on_line(_57124, _57122, _57120), before_on_line(_57124, _57120, _57118)], (132 ^ _53072) ^ [] : [before_on_line(_57124, _57118, _57120), before_on_line(_57124, _57120, _57122)]]], (140 ^ _53072) ^ [_57596] : [distinct_points(_57596, _57596)], (142 ^ _53072) ^ [_57717, _57719, _57721] : [distinct_points(_57721, _57719), -(distinct_points(_57721, _57717)), -(distinct_points(_57719, _57717))], (152 ^ _53072) ^ [_57997] : [distinct_lines(_57997, _57997)], (154 ^ _53072) ^ [_58118, _58120, _58122] : [distinct_lines(_58122, _58120), -(distinct_lines(_58122, _58118)), -(distinct_lines(_58120, _58118))], (164 ^ _53072) ^ [_58398] : [unequally_directed_lines(_58398, _58398)], (166 ^ _53072) ^ [_58519, _58521, _58523] : [unequally_directed_lines(_58523, _58521), -(unequally_directed_lines(_58523, _58519)), -(unequally_directed_lines(_58521, _58519))], (176 ^ _53072) ^ [_58843, _58845, _58847] : [unequally_directed_lines(_58847, _58845), unequally_directed_lines(_58847, reverse_line(_58845)), 185 ^ _53072 : [(186 ^ _53072) ^ [] : [-(unequally_directed_lines(_58847, _58843))], (188 ^ _53072) ^ [] : [-(unequally_directed_lines(_58847, reverse_line(_58843)))]], 189 ^ _53072 : [(190 ^ _53072) ^ [] : [-(unequally_directed_lines(_58845, _58843))], (192 ^ _53072) ^ [] : [-(unequally_directed_lines(_58845, reverse_line(_58843)))]]], (194 ^ _53072) ^ [_59414, _59416] : [line(_59416), line(_59414), -(unequally_directed_lines(_59416, _59414)), -(unequally_directed_lines(_59416, reverse_line(_59414)))], (208 ^ _53072) ^ [_59805, _59807] : [unequally_directed_lines(_59807, _59805), unequally_directed_lines(_59807, reverse_line(_59805)), -(left_convergent_lines(_59807, _59805)), -(left_convergent_lines(_59807, reverse_line(_59805)))], (222 ^ _53072) ^ [_60208, _60210] : [left_apart_point(_60210, _60208)], (224 ^ _53072) ^ [_60253, _60255] : [left_apart_point(_60255, reverse_line(_60253))], (226 ^ _53072) ^ [_60370, _60372] : [left_convergent_lines(_60372, _60370)], (228 ^ _53072) ^ [_60415, _60417] : [left_convergent_lines(_60417, reverse_line(_60415))], (230 ^ _53072) ^ [_60528, _60530] : [-(line(line_connecting(_60530, _60528))), point(_60530), point(_60528), distinct_points(_60530, _60528)], (244 ^ _53072) ^ [_60916, _60918] : [-(point(intersection_point(_60918, _60916))), line(_60918), line(_60916), unequally_directed_lines(_60918, _60916), unequally_directed_lines(_60918, reverse_line(_60916))], (262 ^ _53072) ^ [_61397, _61399] : [-(line(parallel_through_point(_61399, _61397))), point(_61397), line(_61399)], (272 ^ _53072) ^ [_61682] : [line(_61682), -(line(reverse_line(_61682)))], (278 ^ _53072) ^ [_61886, _61888] : [distinct_points(_61888, _61886), 281 ^ _53072 : [(282 ^ _53072) ^ [] : [apart_point_and_line(_61888, line_connecting(_61888, _61886))], (284 ^ _53072) ^ [] : [apart_point_and_line(_61886, line_connecting(_61888, _61886))]]], (286 ^ _53072) ^ [_62185, _62187] : [293 ^ _53072 : [(294 ^ _53072) ^ [] : [apart_point_and_line(intersection_point(_62187, _62185), _62187)], (296 ^ _53072) ^ [] : [apart_point_and_line(intersection_point(_62187, _62185), _62185)]], unequally_directed_lines(_62187, _62185), unequally_directed_lines(_62187, reverse_line(_62185))], (298 ^ _53072) ^ [_62561, _62563] : [apart_point_and_line(_62563, parallel_through_point(_62561, _62563))], (300 ^ _53072) ^ [_62643] : [distinct_lines(_62643, reverse_line(_62643))], (302 ^ _53072) ^ [_62736, _62738] : [unequally_directed_lines(line_connecting(_62738, _62736), reverse_line(line_connecting(_62736, _62738)))], (304 ^ _53072) ^ [_62837, _62839] : [unequally_directed_lines(parallel_through_point(_62837, _62839), _62837)], (306 ^ _53072) ^ [_62977, _62979, _62981, _62983] : [distinct_points(_62983, _62981), distinct_lines(_62979, _62977), -(left_apart_point(_62983, _62979)), -(left_apart_point(_62981, _62979)), -(left_apart_point(_62983, _62977)), -(left_apart_point(_62981, _62977)), -(left_apart_point(_62983, reverse_line(_62979))), -(left_apart_point(_62981, reverse_line(_62979))), -(left_apart_point(_62983, reverse_line(_62977))), -(left_apart_point(_62981, reverse_line(_62977)))], (344 ^ _53072) ^ [_64014, _64016, _64018] : [distinct_points(_64018, _64016), left_apart_point(_64018, _64014), -(left_apart_point(_64016, _64014)), -(left_convergent_lines(line_connecting(_64018, _64016), _64014))], (358 ^ _53072) ^ [_64439, _64441, _64443] : [left_apart_point(_64443, _64439), -(distinct_points(_64443, _64441)), -(left_apart_point(_64441, _64439))], (382 ^ _53072) ^ [_65166, _65168, _65170] : [left_convergent_lines(_65170, _65168), -(unequally_directed_lines(_65168, _65166)), -(left_convergent_lines(_65170, _65166))], (368 ^ _53072) ^ [_64763, _64765, _64767] : [left_apart_point(_64767, _64765), unequally_directed_lines(_64765, _64763), -(distinct_lines(_64765, _64763)), -(left_apart_point(_64767, reverse_line(_64763)))]], input).
% 0.51/1.40  ncf('1',plain,[unequally_directed_lines(reverse_line(reverse_line(391 ^ [])), reverse_line(reverse_line(391 ^ [])))],start(164 ^ 0,bind([[_58398], [reverse_line(reverse_line(391 ^ []))]]))).
% 0.51/1.40  ncf('1.1',plain,[-(unequally_directed_lines(reverse_line(reverse_line(391 ^ [])), reverse_line(reverse_line(391 ^ [])))), unequally_directed_lines(reverse_line(reverse_line(391 ^ [])), 391 ^ []), -(unequally_directed_lines(391 ^ [], reverse_line(reverse_line(391 ^ []))))],extension(166 ^ 1,bind([[_58519, _58521, _58523], [reverse_line(reverse_line(391 ^ [])), 391 ^ [], reverse_line(reverse_line(391 ^ []))]]))).
% 0.51/1.40  ncf('1.1.1',plain,[-(unequally_directed_lines(reverse_line(reverse_line(391 ^ [])), 391 ^ []))],extension(393 ^ 2)).
% 0.51/1.40  ncf('1.1.2',plain,[unequally_directed_lines(391 ^ [], reverse_line(reverse_line(391 ^ []))), unequally_directed_lines(391 ^ [], reverse_line(391 ^ [])), 186 : -(unequally_directed_lines(391 ^ [], 391 ^ [])), 190 : -(unequally_directed_lines(reverse_line(391 ^ []), 391 ^ []))],extension(176 ^ 2,bind([[_58843, _58845, _58847], [391 ^ [], reverse_line(391 ^ []), 391 ^ []]]))).
% 0.51/1.40  ncf('1.1.2.1',plain,[-(unequally_directed_lines(391 ^ [], reverse_line(391 ^ []))), unequally_directed_lines(391 ^ [], reverse_line(reverse_line(391 ^ []))), -(unequally_directed_lines(reverse_line(reverse_line(391 ^ [])), reverse_line(391 ^ [])))],extension(166 ^ 3,bind([[_58519, _58521, _58523], [reverse_line(391 ^ []), reverse_line(reverse_line(391 ^ [])), 391 ^ []]]))).
% 0.51/1.40  ncf('1.1.2.1.1',plain,[-(unequally_directed_lines(391 ^ [], reverse_line(reverse_line(391 ^ []))))],reduction('1.1')).
% 0.51/1.40  ncf('1.1.2.1.2',plain,[unequally_directed_lines(reverse_line(reverse_line(391 ^ [])), reverse_line(391 ^ [])), unequally_directed_lines(reverse_line(reverse_line(391 ^ [])), 391 ^ []), 188 : -(unequally_directed_lines(reverse_line(reverse_line(391 ^ [])), reverse_line(reverse_line(391 ^ [])))), 190 : -(unequally_directed_lines(391 ^ [], reverse_line(391 ^ [])))],extension(176 ^ 4,bind([[_58843, _58845, _58847], [reverse_line(391 ^ []), 391 ^ [], reverse_line(reverse_line(391 ^ []))]]))).
% 0.51/1.40  ncf('1.1.2.1.2.1',plain,[-(unequally_directed_lines(reverse_line(reverse_line(391 ^ [])), 391 ^ []))],lemmata('[1].x')).
% 0.51/1.40  ncf('1.1.2.1.2.2',plain,[unequally_directed_lines(reverse_line(reverse_line(391 ^ [])), reverse_line(reverse_line(391 ^ [])))],reduction('1')).
% 0.51/1.40  ncf('1.1.2.1.2.3',plain,[unequally_directed_lines(391 ^ [], reverse_line(391 ^ []))],reduction('1.1.2')).
% 0.51/1.40  ncf('1.1.2.2',plain,[unequally_directed_lines(391 ^ [], 391 ^ [])],extension(164 ^ 5,bind([[_58398], [391 ^ []]]))).
% 0.51/1.40  ncf('1.1.2.3',plain,[unequally_directed_lines(reverse_line(391 ^ []), 391 ^ []), unequally_directed_lines(reverse_line(391 ^ []), reverse_line(391 ^ [])), -(left_convergent_lines(reverse_line(391 ^ []), 391 ^ [])), -(left_convergent_lines(reverse_line(391 ^ []), reverse_line(391 ^ [])))],extension(208 ^ 5,bind([[_59805, _59807], [391 ^ [], reverse_line(391 ^ [])]]))).
% 0.51/1.40  ncf('1.1.2.3.1',plain,[-(unequally_directed_lines(reverse_line(391 ^ []), reverse_line(391 ^ [])))],extension(192 ^ 6)).
% 0.51/1.40  ncf('1.1.2.3.2',plain,[left_convergent_lines(reverse_line(391 ^ []), 391 ^ [])],extension(226 ^ 6,bind([[_60370, _60372], [391 ^ [], reverse_line(391 ^ [])]]))).
% 0.51/1.40  ncf('1.1.2.3.3',plain,[left_convergent_lines(reverse_line(391 ^ []), reverse_line(391 ^ []))],extension(226 ^ 6,bind([[_60370, _60372], [reverse_line(391 ^ []), reverse_line(391 ^ [])]]))).
% 0.51/1.40  %-----------------------------------------------------
% 0.51/1.40  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------