TSTP Solution File: GEO261+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO261+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n005.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
% 0.07/0.12  % Problem  : GEO261+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n005.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 04:21:23 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.33/1.37  
% 0.33/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.33/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.37  %-----------------------------------------------------
% 0.33/1.37  ncf(matrix, plain, [(397 ^ _53726) ^ [] : [-(between_on_line(391 ^ [], 393 ^ [], 394 ^ [], 395 ^ []))], (399 ^ _53726) ^ [] : [-(convergent_lines(391 ^ [], 392 ^ []))], (401 ^ _53726) ^ [] : [apart_point_and_line(394 ^ [], 392 ^ [])], (403 ^ _53726) ^ [] : [divides_points(392 ^ [], 393 ^ [], 395 ^ [])], (12 ^ _53726) ^ [_54124, _54126] : [13 ^ _53726 : [(14 ^ _53726) ^ [] : [left_apart_point(_54126, _54124)], (16 ^ _53726) ^ [] : [left_apart_point(_54126, reverse_line(_54124))]], -(apart_point_and_line(_54126, _54124))], (2 ^ _53726) ^ [_53868, _53870] : [apart_point_and_line(_53870, _53868), -(left_apart_point(_53870, _53868)), -(left_apart_point(_53870, reverse_line(_53868)))], (20 ^ _53726) ^ [_54443, _54445] : [convergent_lines(_54445, _54443), 23 ^ _53726 : [(24 ^ _53726) ^ [] : [-(unequally_directed_lines(_54445, _54443))], (26 ^ _53726) ^ [] : [-(unequally_directed_lines(_54445, reverse_line(_54443)))]]], (28 ^ _53726) ^ [_54684, _54686] : [-(convergent_lines(_54686, _54684)), unequally_directed_lines(_54686, _54684), unequally_directed_lines(_54686, reverse_line(_54684))], (38 ^ _53726) ^ [_55032, _55034, _55036] : [divides_points(_55032, _55036, _55034), 43 ^ _53726 : [(44 ^ _53726) ^ [] : [-(left_apart_point(_55036, _55032))], (46 ^ _53726) ^ [] : [-(left_apart_point(_55034, reverse_line(_55032)))]], 47 ^ _53726 : [(48 ^ _53726) ^ [] : [-(left_apart_point(_55036, reverse_line(_55032)))], (50 ^ _53726) ^ [] : [-(left_apart_point(_55034, _55032))]]], (52 ^ _53726) ^ [_55458, _55460, _55462] : [-(divides_points(_55458, _55462, _55460)), 53 ^ _53726 : [(54 ^ _53726) ^ [] : [left_apart_point(_55462, _55458), left_apart_point(_55460, reverse_line(_55458))], (60 ^ _53726) ^ [] : [left_apart_point(_55462, reverse_line(_55458)), left_apart_point(_55460, _55458)]]], (68 ^ _53726) ^ [_55991, _55993, _55995] : [before_on_line(_55995, _55993, _55991), 71 ^ _53726 : [(72 ^ _53726) ^ [] : [-(distinct_points(_55993, _55991))], (74 ^ _53726) ^ [] : [left_apart_point(_55993, _55995)], (76 ^ _53726) ^ [] : [left_apart_point(_55993, reverse_line(_55995))], (78 ^ _53726) ^ [] : [left_apart_point(_55991, _55995)], (80 ^ _53726) ^ [] : [left_apart_point(_55991, reverse_line(_55995))], (82 ^ _53726) ^ [] : [unequally_directed_lines(_55995, line_connecting(_55993, _55991))]]], (84 ^ _53726) ^ [_56561, _56563, _56565] : [-(before_on_line(_56565, _56563, _56561)), distinct_points(_56563, _56561), -(left_apart_point(_56563, _56565)), -(left_apart_point(_56563, reverse_line(_56565))), -(unequally_directed_lines(_56565, line_connecting(_56563, _56561))), -(left_apart_point(_56561, _56565)), -(left_apart_point(_56561, reverse_line(_56565)))], (110 ^ _53726) ^ [_57330, _57332, _57334, _57336] : [between_on_line(_57336, _57334, _57332, _57330), 115 ^ _53726 : [(116 ^ _53726) ^ [] : [-(before_on_line(_57336, _57334, _57332))], (118 ^ _53726) ^ [] : [-(before_on_line(_57336, _57332, _57330))]], 119 ^ _53726 : [(120 ^ _53726) ^ [] : [-(before_on_line(_57336, _57330, _57332))], (122 ^ _53726) ^ [] : [-(before_on_line(_57336, _57332, _57334))]]], (124 ^ _53726) ^ [_57772, _57774, _57776, _57778] : [-(between_on_line(_57778, _57776, _57774, _57772)), 125 ^ _53726 : [(126 ^ _53726) ^ [] : [before_on_line(_57778, _57776, _57774), before_on_line(_57778, _57774, _57772)], (132 ^ _53726) ^ [] : [before_on_line(_57778, _57772, _57774), before_on_line(_57778, _57774, _57776)]]], (140 ^ _53726) ^ [_58250] : [distinct_points(_58250, _58250)], (142 ^ _53726) ^ [_58371, _58373, _58375] : [distinct_points(_58375, _58373), -(distinct_points(_58375, _58371)), -(distinct_points(_58373, _58371))], (152 ^ _53726) ^ [_58651] : [distinct_lines(_58651, _58651)], (154 ^ _53726) ^ [_58772, _58774, _58776] : [distinct_lines(_58776, _58774), -(distinct_lines(_58776, _58772)), -(distinct_lines(_58774, _58772))], (164 ^ _53726) ^ [_59052] : [unequally_directed_lines(_59052, _59052)], (166 ^ _53726) ^ [_59173, _59175, _59177] : [unequally_directed_lines(_59177, _59175), -(unequally_directed_lines(_59177, _59173)), -(unequally_directed_lines(_59175, _59173))], (176 ^ _53726) ^ [_59497, _59499, _59501] : [unequally_directed_lines(_59501, _59499), unequally_directed_lines(_59501, reverse_line(_59499)), 185 ^ _53726 : [(186 ^ _53726) ^ [] : [-(unequally_directed_lines(_59501, _59497))], (188 ^ _53726) ^ [] : [-(unequally_directed_lines(_59501, reverse_line(_59497)))]], 189 ^ _53726 : [(190 ^ _53726) ^ [] : [-(unequally_directed_lines(_59499, _59497))], (192 ^ _53726) ^ [] : [-(unequally_directed_lines(_59499, reverse_line(_59497)))]]], (194 ^ _53726) ^ [_60068, _60070] : [line(_60070), line(_60068), -(unequally_directed_lines(_60070, _60068)), -(unequally_directed_lines(_60070, reverse_line(_60068)))], (208 ^ _53726) ^ [_60459, _60461] : [unequally_directed_lines(_60461, _60459), unequally_directed_lines(_60461, reverse_line(_60459)), -(left_convergent_lines(_60461, _60459)), -(left_convergent_lines(_60461, reverse_line(_60459)))], (222 ^ _53726) ^ [_60862, _60864] : [left_apart_point(_60864, _60862)], (224 ^ _53726) ^ [_60907, _60909] : [left_apart_point(_60909, reverse_line(_60907))], (226 ^ _53726) ^ [_61024, _61026] : [left_convergent_lines(_61026, _61024)], (228 ^ _53726) ^ [_61069, _61071] : [left_convergent_lines(_61071, reverse_line(_61069))], (230 ^ _53726) ^ [_61182, _61184] : [-(line(line_connecting(_61184, _61182))), point(_61184), point(_61182), distinct_points(_61184, _61182)], (244 ^ _53726) ^ [_61570, _61572] : [-(point(intersection_point(_61572, _61570))), line(_61572), line(_61570), unequally_directed_lines(_61572, _61570), unequally_directed_lines(_61572, reverse_line(_61570))], (262 ^ _53726) ^ [_62051, _62053] : [-(line(parallel_through_point(_62053, _62051))), point(_62051), line(_62053)], (272 ^ _53726) ^ [_62336] : [line(_62336), -(line(reverse_line(_62336)))], (278 ^ _53726) ^ [_62540, _62542] : [distinct_points(_62542, _62540), 281 ^ _53726 : [(282 ^ _53726) ^ [] : [apart_point_and_line(_62542, line_connecting(_62542, _62540))], (284 ^ _53726) ^ [] : [apart_point_and_line(_62540, line_connecting(_62542, _62540))]]], (286 ^ _53726) ^ [_62839, _62841] : [293 ^ _53726 : [(294 ^ _53726) ^ [] : [apart_point_and_line(intersection_point(_62841, _62839), _62841)], (296 ^ _53726) ^ [] : [apart_point_and_line(intersection_point(_62841, _62839), _62839)]], unequally_directed_lines(_62841, _62839), unequally_directed_lines(_62841, reverse_line(_62839))], (298 ^ _53726) ^ [_63215, _63217] : [apart_point_and_line(_63217, parallel_through_point(_63215, _63217))], (300 ^ _53726) ^ [_63297] : [distinct_lines(_63297, reverse_line(_63297))], (302 ^ _53726) ^ [_63390, _63392] : [unequally_directed_lines(line_connecting(_63392, _63390), reverse_line(line_connecting(_63390, _63392)))], (304 ^ _53726) ^ [_63491, _63493] : [unequally_directed_lines(parallel_through_point(_63491, _63493), _63491)], (306 ^ _53726) ^ [_63631, _63633, _63635, _63637] : [distinct_points(_63637, _63635), distinct_lines(_63633, _63631), -(left_apart_point(_63637, _63633)), -(left_apart_point(_63635, _63633)), -(left_apart_point(_63637, _63631)), -(left_apart_point(_63635, _63631)), -(left_apart_point(_63637, reverse_line(_63633))), -(left_apart_point(_63635, reverse_line(_63633))), -(left_apart_point(_63637, reverse_line(_63631))), -(left_apart_point(_63635, reverse_line(_63631)))], (344 ^ _53726) ^ [_64668, _64670, _64672] : [distinct_points(_64672, _64670), left_apart_point(_64672, _64668), -(left_apart_point(_64670, _64668)), -(left_convergent_lines(line_connecting(_64672, _64670), _64668))], (358 ^ _53726) ^ [_65093, _65095, _65097] : [left_apart_point(_65097, _65093), -(distinct_points(_65097, _65095)), -(left_apart_point(_65095, _65093))], (382 ^ _53726) ^ [_65820, _65822, _65824] : [left_convergent_lines(_65824, _65822), -(unequally_directed_lines(_65822, _65820)), -(left_convergent_lines(_65824, _65820))], (368 ^ _53726) ^ [_65417, _65419, _65421] : [left_apart_point(_65421, _65419), unequally_directed_lines(_65419, _65417), -(distinct_lines(_65419, _65417)), -(left_apart_point(_65421, reverse_line(_65417)))]], input).
% 0.33/1.37  ncf('1',plain,[left_convergent_lines(391 ^ [], 392 ^ [])],start(226 ^ 0,bind([[_61024, _61026], [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([[_60459, _60461], [392 ^ [], 391 ^ []]]))).
% 0.33/1.37  ncf('1.1.1',plain,[-(unequally_directed_lines(391 ^ [], 392 ^ [])), convergent_lines(391 ^ [], 392 ^ [])],extension(20 ^ 2,bind([[_54443, _54445], [392 ^ [], 391 ^ []]]))).
% 0.33/1.37  ncf('1.1.1.1',plain,[-(convergent_lines(391 ^ [], 392 ^ []))],extension(399 ^ 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([[_54443, _54445], [392 ^ [], 391 ^ []]]))).
% 0.33/1.37  ncf('1.1.2.1',plain,[-(convergent_lines(391 ^ [], 392 ^ []))],extension(399 ^ 3)).
% 0.33/1.37  ncf('1.1.3',plain,[left_convergent_lines(391 ^ [], reverse_line(392 ^ []))],extension(226 ^ 2,bind([[_61024, _61026], [reverse_line(392 ^ []), 391 ^ []]]))).
% 0.33/1.37  %-----------------------------------------------------
% 0.33/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------