TSTP Solution File: GEO251+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GEO251+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n009.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 11:12:21 EDT 2023

% Result   : Theorem 0.33s 1.38s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO251+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n009.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 04:27:32 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.33/1.38  
% 0.33/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  ncf(matrix, plain, [(395 ^ _51598) ^ [] : [-(left_apart_point(392 ^ [], reverse_line(parallel_through_point(393 ^ [], 391 ^ []))))], (397 ^ _51598) ^ [] : [left_apart_point(391 ^ [], parallel_through_point(393 ^ [], 392 ^ []))], (12 ^ _51598) ^ [_51996, _51998] : [13 ^ _51598 : [(14 ^ _51598) ^ [] : [left_apart_point(_51998, _51996)], (16 ^ _51598) ^ [] : [left_apart_point(_51998, reverse_line(_51996))]], -(apart_point_and_line(_51998, _51996))], (2 ^ _51598) ^ [_51740, _51742] : [apart_point_and_line(_51742, _51740), -(left_apart_point(_51742, _51740)), -(left_apart_point(_51742, reverse_line(_51740)))], (20 ^ _51598) ^ [_52315, _52317] : [convergent_lines(_52317, _52315), 23 ^ _51598 : [(24 ^ _51598) ^ [] : [-(unequally_directed_lines(_52317, _52315))], (26 ^ _51598) ^ [] : [-(unequally_directed_lines(_52317, reverse_line(_52315)))]]], (28 ^ _51598) ^ [_52556, _52558] : [-(convergent_lines(_52558, _52556)), unequally_directed_lines(_52558, _52556), unequally_directed_lines(_52558, reverse_line(_52556))], (38 ^ _51598) ^ [_52904, _52906, _52908] : [divides_points(_52904, _52908, _52906), 43 ^ _51598 : [(44 ^ _51598) ^ [] : [-(left_apart_point(_52908, _52904))], (46 ^ _51598) ^ [] : [-(left_apart_point(_52906, reverse_line(_52904)))]], 47 ^ _51598 : [(48 ^ _51598) ^ [] : [-(left_apart_point(_52908, reverse_line(_52904)))], (50 ^ _51598) ^ [] : [-(left_apart_point(_52906, _52904))]]], (52 ^ _51598) ^ [_53330, _53332, _53334] : [-(divides_points(_53330, _53334, _53332)), 53 ^ _51598 : [(54 ^ _51598) ^ [] : [left_apart_point(_53334, _53330), left_apart_point(_53332, reverse_line(_53330))], (60 ^ _51598) ^ [] : [left_apart_point(_53334, reverse_line(_53330)), left_apart_point(_53332, _53330)]]], (68 ^ _51598) ^ [_53863, _53865, _53867] : [before_on_line(_53867, _53865, _53863), 71 ^ _51598 : [(72 ^ _51598) ^ [] : [-(distinct_points(_53865, _53863))], (74 ^ _51598) ^ [] : [left_apart_point(_53865, _53867)], (76 ^ _51598) ^ [] : [left_apart_point(_53865, reverse_line(_53867))], (78 ^ _51598) ^ [] : [left_apart_point(_53863, _53867)], (80 ^ _51598) ^ [] : [left_apart_point(_53863, reverse_line(_53867))], (82 ^ _51598) ^ [] : [unequally_directed_lines(_53867, line_connecting(_53865, _53863))]]], (84 ^ _51598) ^ [_54433, _54435, _54437] : [-(before_on_line(_54437, _54435, _54433)), distinct_points(_54435, _54433), -(left_apart_point(_54435, _54437)), -(left_apart_point(_54435, reverse_line(_54437))), -(unequally_directed_lines(_54437, line_connecting(_54435, _54433))), -(left_apart_point(_54433, _54437)), -(left_apart_point(_54433, reverse_line(_54437)))], (110 ^ _51598) ^ [_55202, _55204, _55206, _55208] : [between_on_line(_55208, _55206, _55204, _55202), 115 ^ _51598 : [(116 ^ _51598) ^ [] : [-(before_on_line(_55208, _55206, _55204))], (118 ^ _51598) ^ [] : [-(before_on_line(_55208, _55204, _55202))]], 119 ^ _51598 : [(120 ^ _51598) ^ [] : [-(before_on_line(_55208, _55202, _55204))], (122 ^ _51598) ^ [] : [-(before_on_line(_55208, _55204, _55206))]]], (124 ^ _51598) ^ [_55644, _55646, _55648, _55650] : [-(between_on_line(_55650, _55648, _55646, _55644)), 125 ^ _51598 : [(126 ^ _51598) ^ [] : [before_on_line(_55650, _55648, _55646), before_on_line(_55650, _55646, _55644)], (132 ^ _51598) ^ [] : [before_on_line(_55650, _55644, _55646), before_on_line(_55650, _55646, _55648)]]], (140 ^ _51598) ^ [_56122] : [distinct_points(_56122, _56122)], (142 ^ _51598) ^ [_56243, _56245, _56247] : [distinct_points(_56247, _56245), -(distinct_points(_56247, _56243)), -(distinct_points(_56245, _56243))], (152 ^ _51598) ^ [_56523] : [distinct_lines(_56523, _56523)], (154 ^ _51598) ^ [_56644, _56646, _56648] : [distinct_lines(_56648, _56646), -(distinct_lines(_56648, _56644)), -(distinct_lines(_56646, _56644))], (164 ^ _51598) ^ [_56924] : [unequally_directed_lines(_56924, _56924)], (166 ^ _51598) ^ [_57045, _57047, _57049] : [unequally_directed_lines(_57049, _57047), -(unequally_directed_lines(_57049, _57045)), -(unequally_directed_lines(_57047, _57045))], (176 ^ _51598) ^ [_57369, _57371, _57373] : [unequally_directed_lines(_57373, _57371), unequally_directed_lines(_57373, reverse_line(_57371)), 185 ^ _51598 : [(186 ^ _51598) ^ [] : [-(unequally_directed_lines(_57373, _57369))], (188 ^ _51598) ^ [] : [-(unequally_directed_lines(_57373, reverse_line(_57369)))]], 189 ^ _51598 : [(190 ^ _51598) ^ [] : [-(unequally_directed_lines(_57371, _57369))], (192 ^ _51598) ^ [] : [-(unequally_directed_lines(_57371, reverse_line(_57369)))]]], (194 ^ _51598) ^ [_57940, _57942] : [line(_57942), line(_57940), -(unequally_directed_lines(_57942, _57940)), -(unequally_directed_lines(_57942, reverse_line(_57940)))], (208 ^ _51598) ^ [_58331, _58333] : [unequally_directed_lines(_58333, _58331), unequally_directed_lines(_58333, reverse_line(_58331)), -(left_convergent_lines(_58333, _58331)), -(left_convergent_lines(_58333, reverse_line(_58331)))], (222 ^ _51598) ^ [_58734, _58736] : [left_apart_point(_58736, _58734)], (224 ^ _51598) ^ [_58779, _58781] : [left_apart_point(_58781, reverse_line(_58779))], (226 ^ _51598) ^ [_58896, _58898] : [left_convergent_lines(_58898, _58896)], (228 ^ _51598) ^ [_58941, _58943] : [left_convergent_lines(_58943, reverse_line(_58941))], (230 ^ _51598) ^ [_59054, _59056] : [-(line(line_connecting(_59056, _59054))), point(_59056), point(_59054), distinct_points(_59056, _59054)], (244 ^ _51598) ^ [_59442, _59444] : [-(point(intersection_point(_59444, _59442))), line(_59444), line(_59442), unequally_directed_lines(_59444, _59442), unequally_directed_lines(_59444, reverse_line(_59442))], (262 ^ _51598) ^ [_59923, _59925] : [-(line(parallel_through_point(_59925, _59923))), point(_59923), line(_59925)], (272 ^ _51598) ^ [_60208] : [line(_60208), -(line(reverse_line(_60208)))], (278 ^ _51598) ^ [_60412, _60414] : [distinct_points(_60414, _60412), 281 ^ _51598 : [(282 ^ _51598) ^ [] : [apart_point_and_line(_60414, line_connecting(_60414, _60412))], (284 ^ _51598) ^ [] : [apart_point_and_line(_60412, line_connecting(_60414, _60412))]]], (286 ^ _51598) ^ [_60711, _60713] : [293 ^ _51598 : [(294 ^ _51598) ^ [] : [apart_point_and_line(intersection_point(_60713, _60711), _60713)], (296 ^ _51598) ^ [] : [apart_point_and_line(intersection_point(_60713, _60711), _60711)]], unequally_directed_lines(_60713, _60711), unequally_directed_lines(_60713, reverse_line(_60711))], (298 ^ _51598) ^ [_61087, _61089] : [apart_point_and_line(_61089, parallel_through_point(_61087, _61089))], (300 ^ _51598) ^ [_61169] : [distinct_lines(_61169, reverse_line(_61169))], (302 ^ _51598) ^ [_61262, _61264] : [unequally_directed_lines(line_connecting(_61264, _61262), reverse_line(line_connecting(_61262, _61264)))], (304 ^ _51598) ^ [_61363, _61365] : [unequally_directed_lines(parallel_through_point(_61363, _61365), _61363)], (306 ^ _51598) ^ [_61503, _61505, _61507, _61509] : [distinct_points(_61509, _61507), distinct_lines(_61505, _61503), -(left_apart_point(_61509, _61505)), -(left_apart_point(_61507, _61505)), -(left_apart_point(_61509, _61503)), -(left_apart_point(_61507, _61503)), -(left_apart_point(_61509, reverse_line(_61505))), -(left_apart_point(_61507, reverse_line(_61505))), -(left_apart_point(_61509, reverse_line(_61503))), -(left_apart_point(_61507, reverse_line(_61503)))], (344 ^ _51598) ^ [_62540, _62542, _62544] : [distinct_points(_62544, _62542), left_apart_point(_62544, _62540), -(left_apart_point(_62542, _62540)), -(left_convergent_lines(line_connecting(_62544, _62542), _62540))], (358 ^ _51598) ^ [_62965, _62967, _62969] : [left_apart_point(_62969, _62965), -(distinct_points(_62969, _62967)), -(left_apart_point(_62967, _62965))], (382 ^ _51598) ^ [_63692, _63694, _63696] : [left_convergent_lines(_63696, _63694), -(unequally_directed_lines(_63694, _63692)), -(left_convergent_lines(_63696, _63692))], (368 ^ _51598) ^ [_63289, _63291, _63293] : [left_apart_point(_63293, _63291), unequally_directed_lines(_63291, _63289), -(distinct_lines(_63291, _63289)), -(left_apart_point(_63293, reverse_line(_63289)))]], input).
% 0.33/1.38  ncf('1',plain,[left_apart_point(392 ^ [], reverse_line(parallel_through_point(393 ^ [], 391 ^ [])))],start(222 ^ 0,bind([[_58734, _58736], [reverse_line(parallel_through_point(393 ^ [], 391 ^ [])), 392 ^ []]]))).
% 0.33/1.38  ncf('1.1',plain,[-(left_apart_point(392 ^ [], reverse_line(parallel_through_point(393 ^ [], 391 ^ []))))],extension(395 ^ 1)).
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------