TSTP Solution File: GEO262+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO262+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n013.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 11:12:23 EDT 2023

% Result   : Theorem 0.35s 1.39s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO262+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri May 19 04:25:50 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.35/1.39  
% 0.35/1.39  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.35/1.39  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.39  %-----------------------------------------------------
% 0.35/1.39  ncf(matrix, plain, [(398 ^ _55851) ^ [] : [-(between_on_line(391 ^ [], 394 ^ [], 395 ^ [], 396 ^ []))], (400 ^ _55851) ^ [] : [-(convergent_lines(391 ^ [], 392 ^ []))], (402 ^ _55851) ^ [] : [apart_point_and_line(395 ^ [], 392 ^ [])], (404 ^ _55851) ^ [] : [-(convergent_lines(391 ^ [], 393 ^ []))], (406 ^ _55851) ^ [] : [-(convergent_lines(392 ^ [], 393 ^ []))], (408 ^ _55851) ^ [] : [apart_point_and_line(395 ^ [], 393 ^ [])], (410 ^ _55851) ^ [] : [between_on_line(392 ^ [], intersection_point(392 ^ [], parallel_through_point(393 ^ [], 394 ^ [])), 395 ^ [], intersection_point(392 ^ [], parallel_through_point(393 ^ [], 396 ^ [])))], (12 ^ _55851) ^ [_56249, _56251] : [13 ^ _55851 : [(14 ^ _55851) ^ [] : [left_apart_point(_56251, _56249)], (16 ^ _55851) ^ [] : [left_apart_point(_56251, reverse_line(_56249))]], -(apart_point_and_line(_56251, _56249))], (2 ^ _55851) ^ [_55993, _55995] : [apart_point_and_line(_55995, _55993), -(left_apart_point(_55995, _55993)), -(left_apart_point(_55995, reverse_line(_55993)))], (20 ^ _55851) ^ [_56568, _56570] : [convergent_lines(_56570, _56568), 23 ^ _55851 : [(24 ^ _55851) ^ [] : [-(unequally_directed_lines(_56570, _56568))], (26 ^ _55851) ^ [] : [-(unequally_directed_lines(_56570, reverse_line(_56568)))]]], (28 ^ _55851) ^ [_56809, _56811] : [-(convergent_lines(_56811, _56809)), unequally_directed_lines(_56811, _56809), unequally_directed_lines(_56811, reverse_line(_56809))], (38 ^ _55851) ^ [_57157, _57159, _57161] : [divides_points(_57157, _57161, _57159), 43 ^ _55851 : [(44 ^ _55851) ^ [] : [-(left_apart_point(_57161, _57157))], (46 ^ _55851) ^ [] : [-(left_apart_point(_57159, reverse_line(_57157)))]], 47 ^ _55851 : [(48 ^ _55851) ^ [] : [-(left_apart_point(_57161, reverse_line(_57157)))], (50 ^ _55851) ^ [] : [-(left_apart_point(_57159, _57157))]]], (52 ^ _55851) ^ [_57583, _57585, _57587] : [-(divides_points(_57583, _57587, _57585)), 53 ^ _55851 : [(54 ^ _55851) ^ [] : [left_apart_point(_57587, _57583), left_apart_point(_57585, reverse_line(_57583))], (60 ^ _55851) ^ [] : [left_apart_point(_57587, reverse_line(_57583)), left_apart_point(_57585, _57583)]]], (68 ^ _55851) ^ [_58116, _58118, _58120] : [before_on_line(_58120, _58118, _58116), 71 ^ _55851 : [(72 ^ _55851) ^ [] : [-(distinct_points(_58118, _58116))], (74 ^ _55851) ^ [] : [left_apart_point(_58118, _58120)], (76 ^ _55851) ^ [] : [left_apart_point(_58118, reverse_line(_58120))], (78 ^ _55851) ^ [] : [left_apart_point(_58116, _58120)], (80 ^ _55851) ^ [] : [left_apart_point(_58116, reverse_line(_58120))], (82 ^ _55851) ^ [] : [unequally_directed_lines(_58120, line_connecting(_58118, _58116))]]], (84 ^ _55851) ^ [_58686, _58688, _58690] : [-(before_on_line(_58690, _58688, _58686)), distinct_points(_58688, _58686), -(left_apart_point(_58688, _58690)), -(left_apart_point(_58688, reverse_line(_58690))), -(unequally_directed_lines(_58690, line_connecting(_58688, _58686))), -(left_apart_point(_58686, _58690)), -(left_apart_point(_58686, reverse_line(_58690)))], (110 ^ _55851) ^ [_59455, _59457, _59459, _59461] : [between_on_line(_59461, _59459, _59457, _59455), 115 ^ _55851 : [(116 ^ _55851) ^ [] : [-(before_on_line(_59461, _59459, _59457))], (118 ^ _55851) ^ [] : [-(before_on_line(_59461, _59457, _59455))]], 119 ^ _55851 : [(120 ^ _55851) ^ [] : [-(before_on_line(_59461, _59455, _59457))], (122 ^ _55851) ^ [] : [-(before_on_line(_59461, _59457, _59459))]]], (124 ^ _55851) ^ [_59897, _59899, _59901, _59903] : [-(between_on_line(_59903, _59901, _59899, _59897)), 125 ^ _55851 : [(126 ^ _55851) ^ [] : [before_on_line(_59903, _59901, _59899), before_on_line(_59903, _59899, _59897)], (132 ^ _55851) ^ [] : [before_on_line(_59903, _59897, _59899), before_on_line(_59903, _59899, _59901)]]], (140 ^ _55851) ^ [_60375] : [distinct_points(_60375, _60375)], (142 ^ _55851) ^ [_60496, _60498, _60500] : [distinct_points(_60500, _60498), -(distinct_points(_60500, _60496)), -(distinct_points(_60498, _60496))], (152 ^ _55851) ^ [_60776] : [distinct_lines(_60776, _60776)], (154 ^ _55851) ^ [_60897, _60899, _60901] : [distinct_lines(_60901, _60899), -(distinct_lines(_60901, _60897)), -(distinct_lines(_60899, _60897))], (164 ^ _55851) ^ [_61177] : [unequally_directed_lines(_61177, _61177)], (166 ^ _55851) ^ [_61298, _61300, _61302] : [unequally_directed_lines(_61302, _61300), -(unequally_directed_lines(_61302, _61298)), -(unequally_directed_lines(_61300, _61298))], (176 ^ _55851) ^ [_61622, _61624, _61626] : [unequally_directed_lines(_61626, _61624), unequally_directed_lines(_61626, reverse_line(_61624)), 185 ^ _55851 : [(186 ^ _55851) ^ [] : [-(unequally_directed_lines(_61626, _61622))], (188 ^ _55851) ^ [] : [-(unequally_directed_lines(_61626, reverse_line(_61622)))]], 189 ^ _55851 : [(190 ^ _55851) ^ [] : [-(unequally_directed_lines(_61624, _61622))], (192 ^ _55851) ^ [] : [-(unequally_directed_lines(_61624, reverse_line(_61622)))]]], (194 ^ _55851) ^ [_62193, _62195] : [line(_62195), line(_62193), -(unequally_directed_lines(_62195, _62193)), -(unequally_directed_lines(_62195, reverse_line(_62193)))], (208 ^ _55851) ^ [_62584, _62586] : [unequally_directed_lines(_62586, _62584), unequally_directed_lines(_62586, reverse_line(_62584)), -(left_convergent_lines(_62586, _62584)), -(left_convergent_lines(_62586, reverse_line(_62584)))], (222 ^ _55851) ^ [_62987, _62989] : [left_apart_point(_62989, _62987)], (224 ^ _55851) ^ [_63032, _63034] : [left_apart_point(_63034, reverse_line(_63032))], (226 ^ _55851) ^ [_63149, _63151] : [left_convergent_lines(_63151, _63149)], (228 ^ _55851) ^ [_63194, _63196] : [left_convergent_lines(_63196, reverse_line(_63194))], (230 ^ _55851) ^ [_63307, _63309] : [-(line(line_connecting(_63309, _63307))), point(_63309), point(_63307), distinct_points(_63309, _63307)], (244 ^ _55851) ^ [_63695, _63697] : [-(point(intersection_point(_63697, _63695))), line(_63697), line(_63695), unequally_directed_lines(_63697, _63695), unequally_directed_lines(_63697, reverse_line(_63695))], (262 ^ _55851) ^ [_64176, _64178] : [-(line(parallel_through_point(_64178, _64176))), point(_64176), line(_64178)], (272 ^ _55851) ^ [_64461] : [line(_64461), -(line(reverse_line(_64461)))], (278 ^ _55851) ^ [_64665, _64667] : [distinct_points(_64667, _64665), 281 ^ _55851 : [(282 ^ _55851) ^ [] : [apart_point_and_line(_64667, line_connecting(_64667, _64665))], (284 ^ _55851) ^ [] : [apart_point_and_line(_64665, line_connecting(_64667, _64665))]]], (286 ^ _55851) ^ [_64964, _64966] : [293 ^ _55851 : [(294 ^ _55851) ^ [] : [apart_point_and_line(intersection_point(_64966, _64964), _64966)], (296 ^ _55851) ^ [] : [apart_point_and_line(intersection_point(_64966, _64964), _64964)]], unequally_directed_lines(_64966, _64964), unequally_directed_lines(_64966, reverse_line(_64964))], (298 ^ _55851) ^ [_65340, _65342] : [apart_point_and_line(_65342, parallel_through_point(_65340, _65342))], (300 ^ _55851) ^ [_65422] : [distinct_lines(_65422, reverse_line(_65422))], (302 ^ _55851) ^ [_65515, _65517] : [unequally_directed_lines(line_connecting(_65517, _65515), reverse_line(line_connecting(_65515, _65517)))], (304 ^ _55851) ^ [_65616, _65618] : [unequally_directed_lines(parallel_through_point(_65616, _65618), _65616)], (306 ^ _55851) ^ [_65756, _65758, _65760, _65762] : [distinct_points(_65762, _65760), distinct_lines(_65758, _65756), -(left_apart_point(_65762, _65758)), -(left_apart_point(_65760, _65758)), -(left_apart_point(_65762, _65756)), -(left_apart_point(_65760, _65756)), -(left_apart_point(_65762, reverse_line(_65758))), -(left_apart_point(_65760, reverse_line(_65758))), -(left_apart_point(_65762, reverse_line(_65756))), -(left_apart_point(_65760, reverse_line(_65756)))], (344 ^ _55851) ^ [_66793, _66795, _66797] : [distinct_points(_66797, _66795), left_apart_point(_66797, _66793), -(left_apart_point(_66795, _66793)), -(left_convergent_lines(line_connecting(_66797, _66795), _66793))], (358 ^ _55851) ^ [_67218, _67220, _67222] : [left_apart_point(_67222, _67218), -(distinct_points(_67222, _67220)), -(left_apart_point(_67220, _67218))], (382 ^ _55851) ^ [_67945, _67947, _67949] : [left_convergent_lines(_67949, _67947), -(unequally_directed_lines(_67947, _67945)), -(left_convergent_lines(_67949, _67945))], (368 ^ _55851) ^ [_67542, _67544, _67546] : [left_apart_point(_67546, _67544), unequally_directed_lines(_67544, _67542), -(distinct_lines(_67544, _67542)), -(left_apart_point(_67546, reverse_line(_67542)))]], input).
% 0.35/1.39  ncf('1',plain,[left_convergent_lines(391 ^ [], 392 ^ [])],start(226 ^ 0,bind([[_63149, _63151], [392 ^ [], 391 ^ []]]))).
% 0.35/1.39  ncf('1.1',plain,[-(left_convergent_lines(391 ^ [], 392 ^ [])), unequally_directed_lines(391 ^ [], 392 ^ []), unequally_directed_lines(391 ^ [], reverse_line(392 ^ [])), -(left_convergent_lines(391 ^ [], reverse_line(392 ^ [])))],extension(208 ^ 1,bind([[_62584, _62586], [392 ^ [], 391 ^ []]]))).
% 0.35/1.39  ncf('1.1.1',plain,[-(unequally_directed_lines(391 ^ [], 392 ^ [])), convergent_lines(391 ^ [], 392 ^ [])],extension(20 ^ 2,bind([[_56568, _56570], [392 ^ [], 391 ^ []]]))).
% 0.35/1.39  ncf('1.1.1.1',plain,[-(convergent_lines(391 ^ [], 392 ^ []))],extension(400 ^ 3)).
% 0.35/1.39  ncf('1.1.2',plain,[-(unequally_directed_lines(391 ^ [], reverse_line(392 ^ []))), convergent_lines(391 ^ [], 392 ^ [])],extension(20 ^ 2,bind([[_56568, _56570], [392 ^ [], 391 ^ []]]))).
% 0.35/1.39  ncf('1.1.2.1',plain,[-(convergent_lines(391 ^ [], 392 ^ []))],extension(400 ^ 3)).
% 0.35/1.39  ncf('1.1.3',plain,[left_convergent_lines(391 ^ [], reverse_line(392 ^ []))],extension(226 ^ 2,bind([[_63149, _63151], [reverse_line(392 ^ []), 391 ^ []]]))).
% 0.35/1.39  %-----------------------------------------------------
% 0.35/1.39  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------