TSTP Solution File: GEO233+3 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO233+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n008.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 11:12:19 EDT 2023
% Result : Theorem 0.37s 1.37s
% Output : Proof 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO233+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n008.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 04:00:39 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.37/1.37
% 0.37/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.37/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.37 %-----------------------------------------------------
% 0.37/1.37 ncf(matrix, plain, [(437 ^ _57990) ^ [] : [equally_directed_lines(reverse_line(reverse_line(435 ^ [])), 435 ^ [])], (2 ^ _57990) ^ [_58132, _58134] : [unequally_directed_opposite_lines(_58134, _58132), -(unequally_directed_lines(_58134, reverse_line(_58132)))], (8 ^ _57990) ^ [_58298, _58300] : [unequally_directed_lines(_58300, reverse_line(_58298)), -(unequally_directed_opposite_lines(_58300, _58298))], (14 ^ _57990) ^ [_58543, _58545] : [right_apart_point(_58545, _58543), -(left_apart_point(_58545, reverse_line(_58543)))], (20 ^ _57990) ^ [_58709, _58711] : [left_apart_point(_58711, reverse_line(_58709)), -(right_apart_point(_58711, _58709))], (26 ^ _57990) ^ [_58954, _58956] : [right_convergent_lines(_58956, _58954), -(left_convergent_lines(_58956, reverse_line(_58954)))], (32 ^ _57990) ^ [_59120, _59122] : [left_convergent_lines(_59122, reverse_line(_59120)), -(right_convergent_lines(_59122, _59120))], (38 ^ _57990) ^ [_59365, _59367] : [equally_directed_lines(_59367, _59365), unequally_directed_lines(_59367, _59365)], (44 ^ _57990) ^ [_59528, _59530] : [-(unequally_directed_lines(_59530, _59528)), -(equally_directed_lines(_59530, _59528))], (50 ^ _57990) ^ [_59772, _59774] : [equally_directed_opposite_lines(_59774, _59772), unequally_directed_opposite_lines(_59774, _59772)], (56 ^ _57990) ^ [_59935, _59937] : [-(unequally_directed_opposite_lines(_59937, _59935)), -(equally_directed_opposite_lines(_59937, _59935))], (72 ^ _57990) ^ [_60431, _60433] : [73 ^ _57990 : [(74 ^ _57990) ^ [] : [left_apart_point(_60433, _60431)], (76 ^ _57990) ^ [] : [right_apart_point(_60433, _60431)]], -(apart_point_and_line(_60433, _60431))], (62 ^ _57990) ^ [_60179, _60181] : [apart_point_and_line(_60181, _60179), -(left_apart_point(_60181, _60179)), -(right_apart_point(_60181, _60179))], (80 ^ _57990) ^ [_60746, _60748] : [convergent_lines(_60748, _60746), 83 ^ _57990 : [(84 ^ _57990) ^ [] : [-(unequally_directed_lines(_60748, _60746))], (86 ^ _57990) ^ [] : [-(unequally_directed_opposite_lines(_60748, _60746))]]], (88 ^ _57990) ^ [_60983, _60985] : [-(convergent_lines(_60985, _60983)), unequally_directed_lines(_60985, _60983), unequally_directed_opposite_lines(_60985, _60983)], (98 ^ _57990) ^ [_61327, _61329, _61331] : [divides_points(_61327, _61331, _61329), 103 ^ _57990 : [(104 ^ _57990) ^ [] : [-(left_apart_point(_61331, _61327))], (106 ^ _57990) ^ [] : [-(right_apart_point(_61329, _61327))]], 107 ^ _57990 : [(108 ^ _57990) ^ [] : [-(right_apart_point(_61331, _61327))], (110 ^ _57990) ^ [] : [-(left_apart_point(_61329, _61327))]]], (112 ^ _57990) ^ [_61745, _61747, _61749] : [-(divides_points(_61745, _61749, _61747)), 113 ^ _57990 : [(114 ^ _57990) ^ [] : [left_apart_point(_61749, _61745), right_apart_point(_61747, _61745)], (120 ^ _57990) ^ [] : [right_apart_point(_61749, _61745), left_apart_point(_61747, _61745)]]], (128 ^ _57990) ^ [_62270, _62272, _62274] : [before_on_line(_62274, _62272, _62270), 131 ^ _57990 : [(132 ^ _57990) ^ [] : [-(distinct_points(_62272, _62270))], (134 ^ _57990) ^ [] : [-(incident_point_and_line(_62272, _62274))], (136 ^ _57990) ^ [] : [-(incident_point_and_line(_62270, _62274))], (138 ^ _57990) ^ [] : [-(equally_directed_lines(_62274, line_connecting(_62272, _62270)))]]], (140 ^ _57990) ^ [_62675, _62677, _62679] : [-(before_on_line(_62679, _62677, _62675)), distinct_points(_62677, _62675), incident_point_and_line(_62677, _62679), incident_point_and_line(_62675, _62679), equally_directed_lines(_62679, line_connecting(_62677, _62675))], (158 ^ _57990) ^ [_63237, _63239, _63241, _63243] : [between_on_line(_63243, _63241, _63239, _63237), 163 ^ _57990 : [(164 ^ _57990) ^ [] : [-(before_on_line(_63243, _63241, _63239))], (166 ^ _57990) ^ [] : [-(before_on_line(_63243, _63239, _63237))]], 167 ^ _57990 : [(168 ^ _57990) ^ [] : [-(before_on_line(_63243, _63237, _63239))], (170 ^ _57990) ^ [] : [-(before_on_line(_63243, _63239, _63241))]]], (172 ^ _57990) ^ [_63679, _63681, _63683, _63685] : [-(between_on_line(_63685, _63683, _63681, _63679)), 173 ^ _57990 : [(174 ^ _57990) ^ [] : [before_on_line(_63685, _63683, _63681), before_on_line(_63685, _63681, _63679)], (180 ^ _57990) ^ [] : [before_on_line(_63685, _63679, _63681), before_on_line(_63685, _63681, _63683)]]], (188 ^ _57990) ^ [_64157] : [distinct_points(_64157, _64157)], (190 ^ _57990) ^ [_64278, _64280, _64282] : [distinct_points(_64282, _64280), -(distinct_points(_64282, _64278)), -(distinct_points(_64280, _64278))], (200 ^ _57990) ^ [_64558] : [distinct_lines(_64558, _64558)], (202 ^ _57990) ^ [_64679, _64681, _64683] : [distinct_lines(_64683, _64681), -(distinct_lines(_64683, _64679)), -(distinct_lines(_64681, _64679))], (212 ^ _57990) ^ [_64960] : [-(equally_directed_lines(_64960, _64960))], (214 ^ _57990) ^ [_65081, _65083, _65085] : [unequally_directed_lines(_65085, _65083), -(unequally_directed_lines(_65085, _65081)), -(unequally_directed_lines(_65083, _65081))], (224 ^ _57990) ^ [_65405, _65407, _65409] : [unequally_directed_lines(_65409, _65407), unequally_directed_lines(_65409, reverse_line(_65407)), 233 ^ _57990 : [(234 ^ _57990) ^ [] : [-(unequally_directed_lines(_65409, _65405))], (236 ^ _57990) ^ [] : [-(unequally_directed_lines(_65409, reverse_line(_65405)))]], 237 ^ _57990 : [(238 ^ _57990) ^ [] : [-(unequally_directed_lines(_65407, _65405))], (240 ^ _57990) ^ [] : [-(unequally_directed_lines(_65407, reverse_line(_65405)))]]], (242 ^ _57990) ^ [_65976, _65978] : [-(unequally_directed_lines(_65978, _65976)), -(unequally_directed_lines(_65978, reverse_line(_65976)))], (248 ^ _57990) ^ [_66191, _66193] : [unequally_directed_lines(_66193, _66191), unequally_directed_lines(_66193, reverse_line(_66191)), -(left_convergent_lines(_66193, _66191)), -(left_convergent_lines(_66193, reverse_line(_66191)))], (262 ^ _57990) ^ [_66594, _66596] : [left_apart_point(_66596, _66594)], (264 ^ _57990) ^ [_66639, _66641] : [left_apart_point(_66641, reverse_line(_66639))], (266 ^ _57990) ^ [_66756, _66758] : [left_convergent_lines(_66758, _66756)], (268 ^ _57990) ^ [_66801, _66803] : [left_convergent_lines(_66803, reverse_line(_66801))], (270 ^ _57990) ^ [_66914, _66916] : [-(line(line_connecting(_66916, _66914))), point(_66916), point(_66914), distinct_points(_66916, _66914)], (284 ^ _57990) ^ [_67302, _67304] : [-(point(intersection_point(_67304, _67302))), line(_67304), line(_67302), unequally_directed_lines(_67304, _67302), unequally_directed_lines(_67304, reverse_line(_67302))], (302 ^ _57990) ^ [_67783, _67785] : [-(line(parallel_through_point(_67785, _67783))), point(_67783), line(_67785)], (312 ^ _57990) ^ [_68068] : [line(_68068), -(line(reverse_line(_68068)))], (318 ^ _57990) ^ [_68272, _68274] : [distinct_points(_68274, _68272), 321 ^ _57990 : [(322 ^ _57990) ^ [] : [apart_point_and_line(_68274, line_connecting(_68274, _68272))], (324 ^ _57990) ^ [] : [apart_point_and_line(_68272, line_connecting(_68274, _68272))]]], (326 ^ _57990) ^ [_68571, _68573] : [333 ^ _57990 : [(334 ^ _57990) ^ [] : [apart_point_and_line(intersection_point(_68573, _68571), _68573)], (336 ^ _57990) ^ [] : [apart_point_and_line(intersection_point(_68573, _68571), _68571)]], unequally_directed_lines(_68573, _68571), unequally_directed_lines(_68573, reverse_line(_68571))], (338 ^ _57990) ^ [_68947, _68949] : [apart_point_and_line(_68949, parallel_through_point(_68947, _68949))], (340 ^ _57990) ^ [_69029] : [distinct_lines(_69029, reverse_line(_69029))], (342 ^ _57990) ^ [_69138, _69140] : [distinct_points(_69140, _69138), -(equally_directed_lines(line_connecting(_69140, _69138), reverse_line(line_connecting(_69138, _69140))))], (348 ^ _57990) ^ [_69349, _69351] : [-(equally_directed_lines(parallel_through_point(_69349, _69351), _69349))], (350 ^ _57990) ^ [_69489, _69491, _69493, _69495] : [distinct_points(_69495, _69493), distinct_lines(_69491, _69489), -(left_apart_point(_69495, _69491)), -(left_apart_point(_69493, _69491)), -(left_apart_point(_69495, _69489)), -(left_apart_point(_69493, _69489)), -(left_apart_point(_69495, reverse_line(_69491))), -(left_apart_point(_69493, reverse_line(_69491))), -(left_apart_point(_69495, reverse_line(_69489))), -(left_apart_point(_69493, reverse_line(_69489)))], (388 ^ _57990) ^ [_70526, _70528, _70530] : [distinct_points(_70530, _70528), left_apart_point(_70530, _70526), -(left_apart_point(_70528, _70526)), -(left_convergent_lines(line_connecting(_70530, _70528), _70526))], (402 ^ _57990) ^ [_70951, _70953, _70955] : [left_apart_point(_70955, _70951), -(distinct_points(_70955, _70953)), -(left_apart_point(_70953, _70951))], (426 ^ _57990) ^ [_71678, _71680, _71682] : [left_convergent_lines(_71682, _71680), -(unequally_directed_lines(_71680, _71678)), -(left_convergent_lines(_71682, _71678))], (412 ^ _57990) ^ [_71275, _71277, _71279] : [left_apart_point(_71279, _71277), unequally_directed_lines(_71277, _71275), -(distinct_lines(_71277, _71275)), -(left_apart_point(_71279, reverse_line(_71275)))]], input).
% 0.37/1.37 ncf('1',plain,[equally_directed_lines(reverse_line(reverse_line(435 ^ [])), reverse_line(reverse_line(435 ^ []))), unequally_directed_lines(reverse_line(reverse_line(435 ^ [])), reverse_line(reverse_line(435 ^ [])))],start(38 ^ 0,bind([[_59365, _59367], [reverse_line(reverse_line(435 ^ [])), reverse_line(reverse_line(435 ^ []))]]))).
% 0.37/1.37 ncf('1.1',plain,[-(equally_directed_lines(reverse_line(reverse_line(435 ^ [])), reverse_line(reverse_line(435 ^ [])))), -(unequally_directed_lines(reverse_line(reverse_line(435 ^ [])), reverse_line(reverse_line(435 ^ []))))],extension(44 ^ 1,bind([[_59528, _59530], [reverse_line(reverse_line(435 ^ [])), reverse_line(reverse_line(435 ^ []))]]))).
% 0.37/1.37 ncf('1.1.1',plain,[unequally_directed_lines(reverse_line(reverse_line(435 ^ [])), reverse_line(reverse_line(435 ^ []))), unequally_directed_lines(reverse_line(reverse_line(435 ^ [])), reverse_line(reverse_line(reverse_line(435 ^ [])))), -(left_convergent_lines(reverse_line(reverse_line(435 ^ [])), reverse_line(reverse_line(435 ^ [])))), -(left_convergent_lines(reverse_line(reverse_line(435 ^ [])), reverse_line(reverse_line(reverse_line(435 ^ [])))))],extension(248 ^ 2,bind([[_66191, _66193], [reverse_line(reverse_line(435 ^ [])), reverse_line(reverse_line(435 ^ []))]]))).
% 0.37/1.37 ncf('1.1.1.1',plain,[-(unequally_directed_lines(reverse_line(reverse_line(435 ^ [])), reverse_line(reverse_line(reverse_line(435 ^ []))))), unequally_directed_lines(reverse_line(reverse_line(435 ^ [])), reverse_line(reverse_line(435 ^ []))), -(unequally_directed_lines(reverse_line(reverse_line(435 ^ [])), reverse_line(reverse_line(reverse_line(435 ^ [])))))],extension(214 ^ 3,bind([[_65081, _65083, _65085], [reverse_line(reverse_line(reverse_line(435 ^ []))), reverse_line(reverse_line(435 ^ [])), reverse_line(reverse_line(435 ^ []))]]))).
% 0.37/1.37 ncf('1.1.1.1.1',plain,[-(unequally_directed_lines(reverse_line(reverse_line(435 ^ [])), reverse_line(reverse_line(435 ^ []))))],reduction('1.1')).
% 0.37/1.37 ncf('1.1.1.1.2',plain,[unequally_directed_lines(reverse_line(reverse_line(435 ^ [])), reverse_line(reverse_line(reverse_line(435 ^ []))))],reduction('1.1.1')).
% 0.37/1.37 ncf('1.1.1.2',plain,[left_convergent_lines(reverse_line(reverse_line(435 ^ [])), reverse_line(reverse_line(435 ^ [])))],extension(266 ^ 3,bind([[_66756, _66758], [reverse_line(reverse_line(435 ^ [])), reverse_line(reverse_line(435 ^ []))]]))).
% 0.37/1.37 ncf('1.1.1.3',plain,[left_convergent_lines(reverse_line(reverse_line(435 ^ [])), reverse_line(reverse_line(reverse_line(435 ^ []))))],extension(266 ^ 3,bind([[_66756, _66758], [reverse_line(reverse_line(reverse_line(435 ^ []))), reverse_line(reverse_line(435 ^ []))]]))).
% 0.37/1.37 ncf('1.2',plain,[-(unequally_directed_lines(reverse_line(reverse_line(435 ^ [])), reverse_line(reverse_line(435 ^ [])))), unequally_directed_lines(reverse_line(reverse_line(435 ^ [])), 435 ^ []), unequally_directed_lines(reverse_line(reverse_line(435 ^ [])), reverse_line(435 ^ [])), 238 : -(unequally_directed_lines(435 ^ [], reverse_line(reverse_line(435 ^ []))))],extension(224 ^ 1,bind([[_65405, _65407, _65409], [reverse_line(reverse_line(435 ^ [])), 435 ^ [], reverse_line(reverse_line(435 ^ []))]]))).
% 0.37/1.37 ncf('1.2.1',plain,[-(unequally_directed_lines(reverse_line(reverse_line(435 ^ [])), 435 ^ [])), -(equally_directed_lines(reverse_line(reverse_line(435 ^ [])), 435 ^ []))],extension(44 ^ 2,bind([[_59528, _59530], [435 ^ [], reverse_line(reverse_line(435 ^ []))]]))).
% 0.37/1.37 ncf('1.2.1.1',plain,[equally_directed_lines(reverse_line(reverse_line(435 ^ [])), 435 ^ [])],extension(437 ^ 3)).
% 0.37/1.37 ncf('1.2.2',plain,[-(unequally_directed_lines(reverse_line(reverse_line(435 ^ [])), reverse_line(435 ^ []))), unequally_directed_lines(reverse_line(reverse_line(435 ^ [])), reverse_line(reverse_line(435 ^ []))), -(unequally_directed_lines(reverse_line(reverse_line(435 ^ [])), reverse_line(435 ^ [])))],extension(214 ^ 2,bind([[_65081, _65083, _65085], [reverse_line(435 ^ []), reverse_line(reverse_line(435 ^ [])), reverse_line(reverse_line(435 ^ []))]]))).
% 0.37/1.37 ncf('1.2.2.1',plain,[-(unequally_directed_lines(reverse_line(reverse_line(435 ^ [])), reverse_line(reverse_line(435 ^ [])))), -(unequally_directed_lines(reverse_line(reverse_line(435 ^ [])), reverse_line(435 ^ [])))],extension(242 ^ 3,bind([[_65976, _65978], [reverse_line(435 ^ []), reverse_line(reverse_line(435 ^ []))]]))).
% 0.37/1.37 ncf('1.2.2.1.1',plain,[unequally_directed_lines(reverse_line(reverse_line(435 ^ [])), reverse_line(435 ^ []))],reduction('1.2')).
% 0.37/1.37 ncf('1.2.2.2',plain,[unequally_directed_lines(reverse_line(reverse_line(435 ^ [])), reverse_line(435 ^ []))],reduction('1.2')).
% 0.37/1.37 ncf('1.2.3',plain,[unequally_directed_lines(435 ^ [], reverse_line(reverse_line(435 ^ []))), unequally_directed_lines(435 ^ [], reverse_line(reverse_line(reverse_line(435 ^ [])))), -(left_convergent_lines(435 ^ [], reverse_line(reverse_line(435 ^ [])))), -(left_convergent_lines(435 ^ [], reverse_line(reverse_line(reverse_line(435 ^ [])))))],extension(248 ^ 4,bind([[_66191, _66193], [reverse_line(reverse_line(435 ^ [])), 435 ^ []]]))).
% 0.37/1.37 ncf('1.2.3.1',plain,[-(unequally_directed_lines(435 ^ [], reverse_line(reverse_line(reverse_line(435 ^ [])))))],extension(240 ^ 5)).
% 0.37/1.37 ncf('1.2.3.2',plain,[left_convergent_lines(435 ^ [], reverse_line(reverse_line(435 ^ [])))],extension(266 ^ 5,bind([[_66756, _66758], [reverse_line(reverse_line(435 ^ [])), 435 ^ []]]))).
% 0.37/1.37 ncf('1.2.3.3',plain,[left_convergent_lines(435 ^ [], reverse_line(reverse_line(reverse_line(435 ^ []))))],extension(266 ^ 5,bind([[_66756, _66758], [reverse_line(reverse_line(reverse_line(435 ^ []))), 435 ^ []]]))).
% 0.37/1.37 %-----------------------------------------------------
% 0.37/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------