TSTP Solution File: GEO263+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO263+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n015.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 0.33s 1.37s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : GEO263+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.11/0.33  % Computer : n015.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Fri May 19 04:34:52 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 0.33/1.37  
% 0.33/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.37  %-----------------------------------------------------
% 0.33/1.37  ncf(matrix, plain, [(398 ^ _55233) ^ [] : [-(between_on_line(391 ^ [], 394 ^ [], 395 ^ [], 396 ^ []))], (400 ^ _55233) ^ [] : [-(convergent_lines(391 ^ [], 392 ^ []))], (402 ^ _55233) ^ [] : [-(convergent_lines(391 ^ [], 393 ^ []))], (404 ^ _55233) ^ [] : [-(convergent_lines(392 ^ [], 393 ^ []))], (406 ^ _55233) ^ [] : [between_on_line(392 ^ [], intersection_point(392 ^ [], parallel_through_point(393 ^ [], 394 ^ [])), intersection_point(392 ^ [], parallel_through_point(393 ^ [], 395 ^ [])), intersection_point(392 ^ [], parallel_through_point(393 ^ [], 396 ^ [])))], (12 ^ _55233) ^ [_55631, _55633] : [13 ^ _55233 : [(14 ^ _55233) ^ [] : [left_apart_point(_55633, _55631)], (16 ^ _55233) ^ [] : [left_apart_point(_55633, reverse_line(_55631))]], -(apart_point_and_line(_55633, _55631))], (2 ^ _55233) ^ [_55375, _55377] : [apart_point_and_line(_55377, _55375), -(left_apart_point(_55377, _55375)), -(left_apart_point(_55377, reverse_line(_55375)))], (20 ^ _55233) ^ [_55950, _55952] : [convergent_lines(_55952, _55950), 23 ^ _55233 : [(24 ^ _55233) ^ [] : [-(unequally_directed_lines(_55952, _55950))], (26 ^ _55233) ^ [] : [-(unequally_directed_lines(_55952, reverse_line(_55950)))]]], (28 ^ _55233) ^ [_56191, _56193] : [-(convergent_lines(_56193, _56191)), unequally_directed_lines(_56193, _56191), unequally_directed_lines(_56193, reverse_line(_56191))], (38 ^ _55233) ^ [_56539, _56541, _56543] : [divides_points(_56539, _56543, _56541), 43 ^ _55233 : [(44 ^ _55233) ^ [] : [-(left_apart_point(_56543, _56539))], (46 ^ _55233) ^ [] : [-(left_apart_point(_56541, reverse_line(_56539)))]], 47 ^ _55233 : [(48 ^ _55233) ^ [] : [-(left_apart_point(_56543, reverse_line(_56539)))], (50 ^ _55233) ^ [] : [-(left_apart_point(_56541, _56539))]]], (52 ^ _55233) ^ [_56965, _56967, _56969] : [-(divides_points(_56965, _56969, _56967)), 53 ^ _55233 : [(54 ^ _55233) ^ [] : [left_apart_point(_56969, _56965), left_apart_point(_56967, reverse_line(_56965))], (60 ^ _55233) ^ [] : [left_apart_point(_56969, reverse_line(_56965)), left_apart_point(_56967, _56965)]]], (68 ^ _55233) ^ [_57498, _57500, _57502] : [before_on_line(_57502, _57500, _57498), 71 ^ _55233 : [(72 ^ _55233) ^ [] : [-(distinct_points(_57500, _57498))], (74 ^ _55233) ^ [] : [left_apart_point(_57500, _57502)], (76 ^ _55233) ^ [] : [left_apart_point(_57500, reverse_line(_57502))], (78 ^ _55233) ^ [] : [left_apart_point(_57498, _57502)], (80 ^ _55233) ^ [] : [left_apart_point(_57498, reverse_line(_57502))], (82 ^ _55233) ^ [] : [unequally_directed_lines(_57502, line_connecting(_57500, _57498))]]], (84 ^ _55233) ^ [_58068, _58070, _58072] : [-(before_on_line(_58072, _58070, _58068)), distinct_points(_58070, _58068), -(left_apart_point(_58070, _58072)), -(left_apart_point(_58070, reverse_line(_58072))), -(unequally_directed_lines(_58072, line_connecting(_58070, _58068))), -(left_apart_point(_58068, _58072)), -(left_apart_point(_58068, reverse_line(_58072)))], (110 ^ _55233) ^ [_58837, _58839, _58841, _58843] : [between_on_line(_58843, _58841, _58839, _58837), 115 ^ _55233 : [(116 ^ _55233) ^ [] : [-(before_on_line(_58843, _58841, _58839))], (118 ^ _55233) ^ [] : [-(before_on_line(_58843, _58839, _58837))]], 119 ^ _55233 : [(120 ^ _55233) ^ [] : [-(before_on_line(_58843, _58837, _58839))], (122 ^ _55233) ^ [] : [-(before_on_line(_58843, _58839, _58841))]]], (124 ^ _55233) ^ [_59279, _59281, _59283, _59285] : [-(between_on_line(_59285, _59283, _59281, _59279)), 125 ^ _55233 : [(126 ^ _55233) ^ [] : [before_on_line(_59285, _59283, _59281), before_on_line(_59285, _59281, _59279)], (132 ^ _55233) ^ [] : [before_on_line(_59285, _59279, _59281), before_on_line(_59285, _59281, _59283)]]], (140 ^ _55233) ^ [_59757] : [distinct_points(_59757, _59757)], (142 ^ _55233) ^ [_59878, _59880, _59882] : [distinct_points(_59882, _59880), -(distinct_points(_59882, _59878)), -(distinct_points(_59880, _59878))], (152 ^ _55233) ^ [_60158] : [distinct_lines(_60158, _60158)], (154 ^ _55233) ^ [_60279, _60281, _60283] : [distinct_lines(_60283, _60281), -(distinct_lines(_60283, _60279)), -(distinct_lines(_60281, _60279))], (164 ^ _55233) ^ [_60559] : [unequally_directed_lines(_60559, _60559)], (166 ^ _55233) ^ [_60680, _60682, _60684] : [unequally_directed_lines(_60684, _60682), -(unequally_directed_lines(_60684, _60680)), -(unequally_directed_lines(_60682, _60680))], (176 ^ _55233) ^ [_61004, _61006, _61008] : [unequally_directed_lines(_61008, _61006), unequally_directed_lines(_61008, reverse_line(_61006)), 185 ^ _55233 : [(186 ^ _55233) ^ [] : [-(unequally_directed_lines(_61008, _61004))], (188 ^ _55233) ^ [] : [-(unequally_directed_lines(_61008, reverse_line(_61004)))]], 189 ^ _55233 : [(190 ^ _55233) ^ [] : [-(unequally_directed_lines(_61006, _61004))], (192 ^ _55233) ^ [] : [-(unequally_directed_lines(_61006, reverse_line(_61004)))]]], (194 ^ _55233) ^ [_61575, _61577] : [line(_61577), line(_61575), -(unequally_directed_lines(_61577, _61575)), -(unequally_directed_lines(_61577, reverse_line(_61575)))], (208 ^ _55233) ^ [_61966, _61968] : [unequally_directed_lines(_61968, _61966), unequally_directed_lines(_61968, reverse_line(_61966)), -(left_convergent_lines(_61968, _61966)), -(left_convergent_lines(_61968, reverse_line(_61966)))], (222 ^ _55233) ^ [_62369, _62371] : [left_apart_point(_62371, _62369)], (224 ^ _55233) ^ [_62414, _62416] : [left_apart_point(_62416, reverse_line(_62414))], (226 ^ _55233) ^ [_62531, _62533] : [left_convergent_lines(_62533, _62531)], (228 ^ _55233) ^ [_62576, _62578] : [left_convergent_lines(_62578, reverse_line(_62576))], (230 ^ _55233) ^ [_62689, _62691] : [-(line(line_connecting(_62691, _62689))), point(_62691), point(_62689), distinct_points(_62691, _62689)], (244 ^ _55233) ^ [_63077, _63079] : [-(point(intersection_point(_63079, _63077))), line(_63079), line(_63077), unequally_directed_lines(_63079, _63077), unequally_directed_lines(_63079, reverse_line(_63077))], (262 ^ _55233) ^ [_63558, _63560] : [-(line(parallel_through_point(_63560, _63558))), point(_63558), line(_63560)], (272 ^ _55233) ^ [_63843] : [line(_63843), -(line(reverse_line(_63843)))], (278 ^ _55233) ^ [_64047, _64049] : [distinct_points(_64049, _64047), 281 ^ _55233 : [(282 ^ _55233) ^ [] : [apart_point_and_line(_64049, line_connecting(_64049, _64047))], (284 ^ _55233) ^ [] : [apart_point_and_line(_64047, line_connecting(_64049, _64047))]]], (286 ^ _55233) ^ [_64346, _64348] : [293 ^ _55233 : [(294 ^ _55233) ^ [] : [apart_point_and_line(intersection_point(_64348, _64346), _64348)], (296 ^ _55233) ^ [] : [apart_point_and_line(intersection_point(_64348, _64346), _64346)]], unequally_directed_lines(_64348, _64346), unequally_directed_lines(_64348, reverse_line(_64346))], (298 ^ _55233) ^ [_64722, _64724] : [apart_point_and_line(_64724, parallel_through_point(_64722, _64724))], (300 ^ _55233) ^ [_64804] : [distinct_lines(_64804, reverse_line(_64804))], (302 ^ _55233) ^ [_64897, _64899] : [unequally_directed_lines(line_connecting(_64899, _64897), reverse_line(line_connecting(_64897, _64899)))], (304 ^ _55233) ^ [_64998, _65000] : [unequally_directed_lines(parallel_through_point(_64998, _65000), _64998)], (306 ^ _55233) ^ [_65138, _65140, _65142, _65144] : [distinct_points(_65144, _65142), distinct_lines(_65140, _65138), -(left_apart_point(_65144, _65140)), -(left_apart_point(_65142, _65140)), -(left_apart_point(_65144, _65138)), -(left_apart_point(_65142, _65138)), -(left_apart_point(_65144, reverse_line(_65140))), -(left_apart_point(_65142, reverse_line(_65140))), -(left_apart_point(_65144, reverse_line(_65138))), -(left_apart_point(_65142, reverse_line(_65138)))], (344 ^ _55233) ^ [_66175, _66177, _66179] : [distinct_points(_66179, _66177), left_apart_point(_66179, _66175), -(left_apart_point(_66177, _66175)), -(left_convergent_lines(line_connecting(_66179, _66177), _66175))], (358 ^ _55233) ^ [_66600, _66602, _66604] : [left_apart_point(_66604, _66600), -(distinct_points(_66604, _66602)), -(left_apart_point(_66602, _66600))], (382 ^ _55233) ^ [_67327, _67329, _67331] : [left_convergent_lines(_67331, _67329), -(unequally_directed_lines(_67329, _67327)), -(left_convergent_lines(_67331, _67327))], (368 ^ _55233) ^ [_66924, _66926, _66928] : [left_apart_point(_66928, _66926), unequally_directed_lines(_66926, _66924), -(distinct_lines(_66926, _66924)), -(left_apart_point(_66928, reverse_line(_66924)))]], input).
% 0.33/1.37  ncf('1',plain,[left_convergent_lines(391 ^ [], 392 ^ [])],start(226 ^ 0,bind([[_62531, _62533], [392 ^ [], 391 ^ []]]))).
% 0.33/1.37  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([[_61966, _61968], [392 ^ [], 391 ^ []]]))).
% 0.33/1.37  ncf('1.1.1',plain,[-(unequally_directed_lines(391 ^ [], 392 ^ [])), convergent_lines(391 ^ [], 392 ^ [])],extension(20 ^ 2,bind([[_55950, _55952], [392 ^ [], 391 ^ []]]))).
% 0.33/1.37  ncf('1.1.1.1',plain,[-(convergent_lines(391 ^ [], 392 ^ []))],extension(400 ^ 3)).
% 0.33/1.37  ncf('1.1.2',plain,[-(unequally_directed_lines(391 ^ [], reverse_line(392 ^ []))), convergent_lines(391 ^ [], 392 ^ [])],extension(20 ^ 2,bind([[_55950, _55952], [392 ^ [], 391 ^ []]]))).
% 0.33/1.37  ncf('1.1.2.1',plain,[-(convergent_lines(391 ^ [], 392 ^ []))],extension(400 ^ 3)).
% 0.33/1.37  ncf('1.1.3',plain,[left_convergent_lines(391 ^ [], reverse_line(392 ^ []))],extension(226 ^ 2,bind([[_62531, _62533], [reverse_line(392 ^ []), 391 ^ []]]))).
% 0.33/1.37  %-----------------------------------------------------
% 0.33/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------