TSTP Solution File: GEO231+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO231+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n006.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 11:12:18 EDT 2023
% Result : Theorem 0.94s 1.38s
% Output : Proof 0.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO231+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.11/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n006.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 04:09:36 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.94/1.38
% 0.94/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.94/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.94/1.38 %-----------------------------------------------------
% 0.94/1.38 ncf(matrix, plain, [(395 ^ _54623) ^ [] : [unequally_directed_lines(391 ^ [], reverse_line(392 ^ []))], (397 ^ _54623) ^ [] : [unequally_directed_lines(391 ^ [], 393 ^ [])], (399 ^ _54623) ^ [] : [-(unequally_directed_lines(392 ^ [], reverse_line(393 ^ [])))], (12 ^ _54623) ^ [_55021, _55023] : [13 ^ _54623 : [(14 ^ _54623) ^ [] : [left_apart_point(_55023, _55021)], (16 ^ _54623) ^ [] : [left_apart_point(_55023, reverse_line(_55021))]], -(apart_point_and_line(_55023, _55021))], (2 ^ _54623) ^ [_54765, _54767] : [apart_point_and_line(_54767, _54765), -(left_apart_point(_54767, _54765)), -(left_apart_point(_54767, reverse_line(_54765)))], (20 ^ _54623) ^ [_55340, _55342] : [convergent_lines(_55342, _55340), 23 ^ _54623 : [(24 ^ _54623) ^ [] : [-(unequally_directed_lines(_55342, _55340))], (26 ^ _54623) ^ [] : [-(unequally_directed_lines(_55342, reverse_line(_55340)))]]], (28 ^ _54623) ^ [_55581, _55583] : [-(convergent_lines(_55583, _55581)), unequally_directed_lines(_55583, _55581), unequally_directed_lines(_55583, reverse_line(_55581))], (38 ^ _54623) ^ [_55929, _55931, _55933] : [divides_points(_55929, _55933, _55931), 43 ^ _54623 : [(44 ^ _54623) ^ [] : [-(left_apart_point(_55933, _55929))], (46 ^ _54623) ^ [] : [-(left_apart_point(_55931, reverse_line(_55929)))]], 47 ^ _54623 : [(48 ^ _54623) ^ [] : [-(left_apart_point(_55933, reverse_line(_55929)))], (50 ^ _54623) ^ [] : [-(left_apart_point(_55931, _55929))]]], (52 ^ _54623) ^ [_56355, _56357, _56359] : [-(divides_points(_56355, _56359, _56357)), 53 ^ _54623 : [(54 ^ _54623) ^ [] : [left_apart_point(_56359, _56355), left_apart_point(_56357, reverse_line(_56355))], (60 ^ _54623) ^ [] : [left_apart_point(_56359, reverse_line(_56355)), left_apart_point(_56357, _56355)]]], (68 ^ _54623) ^ [_56888, _56890, _56892] : [before_on_line(_56892, _56890, _56888), 71 ^ _54623 : [(72 ^ _54623) ^ [] : [-(distinct_points(_56890, _56888))], (74 ^ _54623) ^ [] : [left_apart_point(_56890, _56892)], (76 ^ _54623) ^ [] : [left_apart_point(_56890, reverse_line(_56892))], (78 ^ _54623) ^ [] : [left_apart_point(_56888, _56892)], (80 ^ _54623) ^ [] : [left_apart_point(_56888, reverse_line(_56892))], (82 ^ _54623) ^ [] : [unequally_directed_lines(_56892, line_connecting(_56890, _56888))]]], (84 ^ _54623) ^ [_57458, _57460, _57462] : [-(before_on_line(_57462, _57460, _57458)), distinct_points(_57460, _57458), -(left_apart_point(_57460, _57462)), -(left_apart_point(_57460, reverse_line(_57462))), -(unequally_directed_lines(_57462, line_connecting(_57460, _57458))), -(left_apart_point(_57458, _57462)), -(left_apart_point(_57458, reverse_line(_57462)))], (110 ^ _54623) ^ [_58227, _58229, _58231, _58233] : [between_on_line(_58233, _58231, _58229, _58227), 115 ^ _54623 : [(116 ^ _54623) ^ [] : [-(before_on_line(_58233, _58231, _58229))], (118 ^ _54623) ^ [] : [-(before_on_line(_58233, _58229, _58227))]], 119 ^ _54623 : [(120 ^ _54623) ^ [] : [-(before_on_line(_58233, _58227, _58229))], (122 ^ _54623) ^ [] : [-(before_on_line(_58233, _58229, _58231))]]], (124 ^ _54623) ^ [_58669, _58671, _58673, _58675] : [-(between_on_line(_58675, _58673, _58671, _58669)), 125 ^ _54623 : [(126 ^ _54623) ^ [] : [before_on_line(_58675, _58673, _58671), before_on_line(_58675, _58671, _58669)], (132 ^ _54623) ^ [] : [before_on_line(_58675, _58669, _58671), before_on_line(_58675, _58671, _58673)]]], (140 ^ _54623) ^ [_59147] : [distinct_points(_59147, _59147)], (142 ^ _54623) ^ [_59268, _59270, _59272] : [distinct_points(_59272, _59270), -(distinct_points(_59272, _59268)), -(distinct_points(_59270, _59268))], (152 ^ _54623) ^ [_59548] : [distinct_lines(_59548, _59548)], (154 ^ _54623) ^ [_59669, _59671, _59673] : [distinct_lines(_59673, _59671), -(distinct_lines(_59673, _59669)), -(distinct_lines(_59671, _59669))], (164 ^ _54623) ^ [_59949] : [unequally_directed_lines(_59949, _59949)], (166 ^ _54623) ^ [_60070, _60072, _60074] : [unequally_directed_lines(_60074, _60072), -(unequally_directed_lines(_60074, _60070)), -(unequally_directed_lines(_60072, _60070))], (176 ^ _54623) ^ [_60394, _60396, _60398] : [unequally_directed_lines(_60398, _60396), unequally_directed_lines(_60398, reverse_line(_60396)), 185 ^ _54623 : [(186 ^ _54623) ^ [] : [-(unequally_directed_lines(_60398, _60394))], (188 ^ _54623) ^ [] : [-(unequally_directed_lines(_60398, reverse_line(_60394)))]], 189 ^ _54623 : [(190 ^ _54623) ^ [] : [-(unequally_directed_lines(_60396, _60394))], (192 ^ _54623) ^ [] : [-(unequally_directed_lines(_60396, reverse_line(_60394)))]]], (194 ^ _54623) ^ [_60965, _60967] : [line(_60967), line(_60965), -(unequally_directed_lines(_60967, _60965)), -(unequally_directed_lines(_60967, reverse_line(_60965)))], (208 ^ _54623) ^ [_61356, _61358] : [unequally_directed_lines(_61358, _61356), unequally_directed_lines(_61358, reverse_line(_61356)), -(left_convergent_lines(_61358, _61356)), -(left_convergent_lines(_61358, reverse_line(_61356)))], (222 ^ _54623) ^ [_61759, _61761] : [left_apart_point(_61761, _61759)], (224 ^ _54623) ^ [_61804, _61806] : [left_apart_point(_61806, reverse_line(_61804))], (226 ^ _54623) ^ [_61921, _61923] : [left_convergent_lines(_61923, _61921)], (228 ^ _54623) ^ [_61966, _61968] : [left_convergent_lines(_61968, reverse_line(_61966))], (230 ^ _54623) ^ [_62079, _62081] : [-(line(line_connecting(_62081, _62079))), point(_62081), point(_62079), distinct_points(_62081, _62079)], (244 ^ _54623) ^ [_62467, _62469] : [-(point(intersection_point(_62469, _62467))), line(_62469), line(_62467), unequally_directed_lines(_62469, _62467), unequally_directed_lines(_62469, reverse_line(_62467))], (262 ^ _54623) ^ [_62948, _62950] : [-(line(parallel_through_point(_62950, _62948))), point(_62948), line(_62950)], (272 ^ _54623) ^ [_63233] : [line(_63233), -(line(reverse_line(_63233)))], (278 ^ _54623) ^ [_63437, _63439] : [distinct_points(_63439, _63437), 281 ^ _54623 : [(282 ^ _54623) ^ [] : [apart_point_and_line(_63439, line_connecting(_63439, _63437))], (284 ^ _54623) ^ [] : [apart_point_and_line(_63437, line_connecting(_63439, _63437))]]], (286 ^ _54623) ^ [_63736, _63738] : [293 ^ _54623 : [(294 ^ _54623) ^ [] : [apart_point_and_line(intersection_point(_63738, _63736), _63738)], (296 ^ _54623) ^ [] : [apart_point_and_line(intersection_point(_63738, _63736), _63736)]], unequally_directed_lines(_63738, _63736), unequally_directed_lines(_63738, reverse_line(_63736))], (298 ^ _54623) ^ [_64112, _64114] : [apart_point_and_line(_64114, parallel_through_point(_64112, _64114))], (300 ^ _54623) ^ [_64194] : [distinct_lines(_64194, reverse_line(_64194))], (302 ^ _54623) ^ [_64287, _64289] : [unequally_directed_lines(line_connecting(_64289, _64287), reverse_line(line_connecting(_64287, _64289)))], (304 ^ _54623) ^ [_64388, _64390] : [unequally_directed_lines(parallel_through_point(_64388, _64390), _64388)], (306 ^ _54623) ^ [_64528, _64530, _64532, _64534] : [distinct_points(_64534, _64532), distinct_lines(_64530, _64528), -(left_apart_point(_64534, _64530)), -(left_apart_point(_64532, _64530)), -(left_apart_point(_64534, _64528)), -(left_apart_point(_64532, _64528)), -(left_apart_point(_64534, reverse_line(_64530))), -(left_apart_point(_64532, reverse_line(_64530))), -(left_apart_point(_64534, reverse_line(_64528))), -(left_apart_point(_64532, reverse_line(_64528)))], (344 ^ _54623) ^ [_65565, _65567, _65569] : [distinct_points(_65569, _65567), left_apart_point(_65569, _65565), -(left_apart_point(_65567, _65565)), -(left_convergent_lines(line_connecting(_65569, _65567), _65565))], (358 ^ _54623) ^ [_65990, _65992, _65994] : [left_apart_point(_65994, _65990), -(distinct_points(_65994, _65992)), -(left_apart_point(_65992, _65990))], (382 ^ _54623) ^ [_66717, _66719, _66721] : [left_convergent_lines(_66721, _66719), -(unequally_directed_lines(_66719, _66717)), -(left_convergent_lines(_66721, _66717))], (368 ^ _54623) ^ [_66314, _66316, _66318] : [left_apart_point(_66318, _66316), unequally_directed_lines(_66316, _66314), -(distinct_lines(_66316, _66314)), -(left_apart_point(_66318, reverse_line(_66314)))]], input).
% 0.94/1.38 ncf('1',plain,[unequally_directed_lines(line_connecting(_34615, _34615), reverse_line(line_connecting(_34615, _34615)))],start(302 ^ 0,bind([[_64287, _64289], [_34615, _34615]]))).
% 0.94/1.38 ncf('1.1',plain,[-(unequally_directed_lines(line_connecting(_34615, _34615), reverse_line(line_connecting(_34615, _34615)))), unequally_directed_lines(392 ^ [], line_connecting(_34615, _34615)), -(unequally_directed_lines(392 ^ [], reverse_line(line_connecting(_34615, _34615))))],extension(166 ^ 1,bind([[_60070, _60072, _60074], [reverse_line(line_connecting(_34615, _34615)), line_connecting(_34615, _34615), 392 ^ []]]))).
% 0.94/1.38 ncf('1.1.1',plain,[-(unequally_directed_lines(392 ^ [], line_connecting(_34615, _34615))), unequally_directed_lines(392 ^ [], reverse_line(393 ^ [])), -(unequally_directed_lines(reverse_line(393 ^ []), line_connecting(_34615, _34615)))],extension(166 ^ 2,bind([[_60070, _60072, _60074], [line_connecting(_34615, _34615), reverse_line(393 ^ []), 392 ^ []]]))).
% 0.94/1.38 ncf('1.1.1.1',plain,[-(unequally_directed_lines(392 ^ [], reverse_line(393 ^ [])))],extension(399 ^ 3)).
% 0.94/1.38 ncf('1.1.1.2',plain,[unequally_directed_lines(reverse_line(393 ^ []), line_connecting(_34615, _34615)), unequally_directed_lines(reverse_line(393 ^ []), reverse_line(line_connecting(_34615, _34615))), -(left_convergent_lines(reverse_line(393 ^ []), line_connecting(_34615, _34615))), -(left_convergent_lines(reverse_line(393 ^ []), reverse_line(line_connecting(_34615, _34615))))],extension(208 ^ 3,bind([[_61356, _61358], [line_connecting(_34615, _34615), reverse_line(393 ^ [])]]))).
% 0.94/1.38 ncf('1.1.1.2.1',plain,[-(unequally_directed_lines(reverse_line(393 ^ []), reverse_line(line_connecting(_34615, _34615)))), unequally_directed_lines(reverse_line(393 ^ []), line_connecting(_34615, _34615)), -(unequally_directed_lines(line_connecting(_34615, _34615), reverse_line(line_connecting(_34615, _34615))))],extension(166 ^ 4,bind([[_60070, _60072, _60074], [reverse_line(line_connecting(_34615, _34615)), line_connecting(_34615, _34615), reverse_line(393 ^ [])]]))).
% 0.94/1.38 ncf('1.1.1.2.1.1',plain,[-(unequally_directed_lines(reverse_line(393 ^ []), line_connecting(_34615, _34615)))],reduction('1.1.1')).
% 0.94/1.38 ncf('1.1.1.2.1.2',plain,[unequally_directed_lines(line_connecting(_34615, _34615), reverse_line(line_connecting(_34615, _34615)))],reduction('1')).
% 0.94/1.38 ncf('1.1.1.2.2',plain,[left_convergent_lines(reverse_line(393 ^ []), line_connecting(_34615, _34615))],extension(226 ^ 4,bind([[_61921, _61923], [line_connecting(_34615, _34615), reverse_line(393 ^ [])]]))).
% 0.94/1.38 ncf('1.1.1.2.3',plain,[left_convergent_lines(reverse_line(393 ^ []), reverse_line(line_connecting(_34615, _34615)))],extension(226 ^ 4,bind([[_61921, _61923], [reverse_line(line_connecting(_34615, _34615)), reverse_line(393 ^ [])]]))).
% 0.94/1.38 ncf('1.1.2',plain,[unequally_directed_lines(392 ^ [], reverse_line(line_connecting(_34615, _34615))), unequally_directed_lines(392 ^ [], line_connecting(_34615, _34615)), 186 : -(unequally_directed_lines(392 ^ [], 392 ^ [])), 190 : -(unequally_directed_lines(line_connecting(_34615, _34615), 392 ^ []))],extension(176 ^ 2,bind([[_60394, _60396, _60398], [392 ^ [], line_connecting(_34615, _34615), 392 ^ []]]))).
% 0.94/1.38 ncf('1.1.2.1',plain,[-(unequally_directed_lines(392 ^ [], line_connecting(_34615, _34615)))],lemmata('[1].x')).
% 0.94/1.38 ncf('1.1.2.2',plain,[unequally_directed_lines(392 ^ [], 392 ^ [])],extension(164 ^ 5,bind([[_59949], [392 ^ []]]))).
% 0.94/1.38 ncf('1.1.2.3',plain,[unequally_directed_lines(line_connecting(_34615, _34615), 392 ^ []), unequally_directed_lines(line_connecting(_34615, _34615), reverse_line(392 ^ [])), -(left_convergent_lines(line_connecting(_34615, _34615), 392 ^ [])), -(left_convergent_lines(line_connecting(_34615, _34615), reverse_line(392 ^ [])))],extension(208 ^ 5,bind([[_61356, _61358], [392 ^ [], line_connecting(_34615, _34615)]]))).
% 0.94/1.38 ncf('1.1.2.3.1',plain,[-(unequally_directed_lines(line_connecting(_34615, _34615), reverse_line(392 ^ [])))],extension(192 ^ 6)).
% 0.94/1.38 ncf('1.1.2.3.2',plain,[left_convergent_lines(line_connecting(_34615, _34615), 392 ^ [])],extension(226 ^ 6,bind([[_61921, _61923], [392 ^ [], line_connecting(_34615, _34615)]]))).
% 0.94/1.38 ncf('1.1.2.3.3',plain,[left_convergent_lines(line_connecting(_34615, _34615), reverse_line(392 ^ []))],extension(226 ^ 6,bind([[_61921, _61923], [reverse_line(392 ^ []), line_connecting(_34615, _34615)]]))).
% 0.94/1.38 %-----------------------------------------------------
% 0.94/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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