%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV381+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n023.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 12:20:32 EDT 2023

% Result   : Theorem 1.46s 2.44s
% Output   : Proof 1.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV381+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri May 19 02:32:59 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 1.46/2.44  
% 1.46/2.44  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 1.46/2.44  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.46/2.44  %-----------------------------------------------------
% 1.46/2.44  ncf(matrix, plain, [(1007 ^ _172615) ^ [] : [-(phi(findmin_cpq_eff(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))))], (1009 ^ _172615) ^ [] : [issmallestelement_pq(i(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])))], (262 ^ _172615) ^ [_181035, _181037, _181039, _181041] : [-(findmin_pq_eff(_181041, _181037) = findmin_pq_eff(_181039, _181035)), _181041 = _181039, _181037 = _181035], (272 ^ _172615) ^ [_181394, _181396, _181398, _181400] : [-(findmin_pq_res(_181400, _181396) = findmin_pq_res(_181398, _181394)), _181400 = _181398, _181396 = _181394], (282 ^ _172615) ^ [_181753, _181755, _181757, _181759] : [-(removemin_pq_eff(_181759, _181755) = removemin_pq_eff(_181757, _181753)), _181759 = _181757, _181755 = _181753], (292 ^ _172615) ^ [_182112, _182114, _182116, _182118] : [-(remove_pq(_182118, _182114) = remove_pq(_182116, _182112)), _182118 = _182116, _182114 = _182112], (302 ^ _172615) ^ [_182471, _182473, _182475, _182477] : [-(removemin_pq_res(_182477, _182473) = removemin_pq_res(_182475, _182471)), _182477 = _182475, _182473 = _182471], (312 ^ _172615) ^ [_182830, _182832, _182834, _182836] : [-(insert_cpq(_182836, _182832) = insert_cpq(_182834, _182830)), _182836 = _182834, _182832 = _182830], (322 ^ _172615) ^ [_183189, _183191, _183193, _183195] : [-(insert_pqp(_183195, _183191) = insert_pqp(_183193, _183189)), _183195 = _183193, _183191 = _183189], (332 ^ _172615) ^ [_183548, _183550, _183552, _183554] : [-(remove_pqp(_183554, _183550) = remove_pqp(_183552, _183548)), _183554 = _183552, _183550 = _183548], (342 ^ _172615) ^ [_183907, _183909, _183911, _183913] : [-(remove_slb(_183913, _183909) = remove_slb(_183911, _183907)), _183913 = _183911, _183909 = _183907], (352 ^ _172615) ^ [_184266, _184268, _184270, _184272] : [-(lookup_slb(_184272, _184268) = lookup_slb(_184270, _184266)), _184272 = _184270, _184268 = _184266], (362 ^ _172615) ^ [_184625, _184627, _184629, _184631] : [-(update_slb(_184631, _184627) = update_slb(_184629, _184625)), _184631 = _184629, _184627 = _184625], (372 ^ _172615) ^ [_184956, _184958] : [_184958 = _184956, -(findmin_pqp_res(_184958) = findmin_pqp_res(_184956))], (378 ^ _172615) ^ [_185174, _185176] : [_185176 = _185174, -(removemin_cpq_eff(_185176) = removemin_cpq_eff(_185174))], (384 ^ _172615) ^ [_185420, _185422, _185424, _185426] : [-(remove_cpq(_185426, _185422) = remove_cpq(_185424, _185420)), _185426 = _185424, _185422 = _185420], (394 ^ _172615) ^ [_185751, _185753] : [_185753 = _185751, -(removemin_cpq_res(_185753) = removemin_cpq_res(_185751))], (400 ^ _172615) ^ [_185997, _185999, _186001, _186003] : [-(insert_slb(_186003, _185999) = insert_slb(_186001, _185997)), _186003 = _186001, _185999 = _185997], (410 ^ _172615) ^ [_186356, _186358, _186360, _186362] : [-(pair(_186362, _186358) = pair(_186360, _186356)), _186362 = _186360, _186358 = _186356], (420 ^ _172615) ^ [_186715, _186717, _186719, _186721] : [-(insert_pq(_186721, _186717) = insert_pq(_186719, _186715)), _186721 = _186719, _186717 = _186715], (430 ^ _172615) ^ [_187046, _187048] : [_187048 = _187046, -(findmin_cpq_eff(_187048) = findmin_cpq_eff(_187046))], (436 ^ _172615) ^ [_187264, _187266] : [_187266 = _187264, -(i(_187266) = i(_187264))], (442 ^ _172615) ^ [_187482, _187484] : [_187484 = _187482, -(findmin_cpq_res(_187484) = findmin_cpq_res(_187482))], (448 ^ _172615) ^ [_187736, _187738, _187740, _187742, _187744, _187746] : [-(triple(_187746, _187742, _187738) = triple(_187744, _187740, _187736)), _187746 = _187744, _187742 = _187740, _187738 = _187736], (2 ^ _172615) ^ [_172759] : [-(_172759 = _172759)], (4 ^ _172615) ^ [_172866, _172868] : [_172868 = _172866, -(_172866 = _172868)], (10 ^ _172615) ^ [_173070, _173072, _173074] : [-(_173074 = _173070), _173074 = _173072, _173072 = _173070], (20 ^ _172615) ^ [_173383, _173385] : [-(isnonempty_pq(_173383)), _173385 = _173383, isnonempty_pq(_173385)], (30 ^ _172615) ^ [_173678, _173680] : [-(isnonempty_slb(_173678)), _173680 = _173678, isnonempty_slb(_173680)], (40 ^ _172615) ^ [_174029, _174031, _174033, _174035, _174037, _174039] : [-(pair_in_list(_174037, _174033, _174029)), pair_in_list(_174039, _174035, _174031), _174039 = _174037, _174035 = _174033, _174031 = _174029], (58 ^ _172615) ^ [_174610, _174612, _174614, _174616] : [-(contains_slb(_174614, _174610)), contains_slb(_174616, _174612), _174616 = _174614, _174612 = _174610], (72 ^ _172615) ^ [_175054, _175056, _175058, _175060] : [-(less_than(_175058, _175054)), less_than(_175060, _175056), _175060 = _175058, _175056 = _175054], (86 ^ _172615) ^ [_175498, _175500, _175502, _175504] : [-(pi_remove(_175502, _175498)), pi_remove(_175504, _175500), _175504 = _175502, _175500 = _175498], (100 ^ _172615) ^ [_175942, _175944, _175946, _175948] : [-(pi_sharp_remove(_175946, _175942)), pi_sharp_remove(_175948, _175944), _175948 = _175946, _175944 = _175942], (114 ^ _172615) ^ [_176358, _176360] : [-(pi_find_min(_176358)), _176360 = _176358, pi_find_min(_176360)], (124 ^ _172615) ^ [_176681, _176683, _176685, _176687] : [-(pi_sharp_removemin(_176685, _176681)), pi_sharp_removemin(_176687, _176683), _176687 = _176685, _176683 = _176681], (138 ^ _172615) ^ [_177097, _177099] : [-(pi_removemin(_177097)), _177099 = _177097, pi_removemin(_177099)], (148 ^ _172615) ^ [_177420, _177422, _177424, _177426] : [-(pi_sharp_find_min(_177424, _177420)), pi_sharp_find_min(_177426, _177422), _177426 = _177424, _177422 = _177420], (162 ^ _172615) ^ [_177864, _177866, _177868, _177870] : [-(succ_cpq(_177868, _177864)), succ_cpq(_177870, _177866), _177870 = _177868, _177866 = _177864], (176 ^ _172615) ^ [_178280, _178282] : [-(ok(_178280)), _178282 = _178280, ok(_178282)], (186 ^ _172615) ^ [_178575, _178577] : [-(check_cpq(_178575)), _178577 = _178575, check_cpq(_178577)], (196 ^ _172615) ^ [_178898, _178900, _178902, _178904] : [-(contains_pq(_178902, _178898)), contains_pq(_178904, _178900), _178904 = _178902, _178900 = _178898], (210 ^ _172615) ^ [_179342, _179344, _179346, _179348] : [-(contains_cpq(_179346, _179342)), contains_cpq(_179348, _179344), _179348 = _179346, _179344 = _179342], (224 ^ _172615) ^ [_179786, _179788, _179790, _179792] : [-(strictly_less_than(_179790, _179786)), strictly_less_than(_179792, _179788), _179792 = _179790, _179788 = _179786], (238 ^ _172615) ^ [_180202, _180204] : [-(phi(_180202)), _180204 = _180202, phi(_180204)], (248 ^ _172615) ^ [_180505, _180507, _180509, _180511] : [-(issmallestelement_pq(_180509, _180505)), issmallestelement_pq(_180511, _180507), _180511 = _180509, _180507 = _180505], (462 ^ _172615) ^ [_188351, _188353, _188355] : [-(less_than(_188355, _188351)), less_than(_188355, _188353), less_than(_188353, _188351)], (472 ^ _172615) ^ [_188660, _188662] : [-(less_than(_188662, _188660)), -(less_than(_188660, _188662))], (478 ^ _172615) ^ [_188842] : [-(less_than(_188842, _188842))], (498 ^ _172615) ^ [_189471] : [-(less_than(bottom, _189471))], (480 ^ _172615) ^ [_188978, _188980] : [strictly_less_than(_188980, _188978), 483 ^ _172615 : [(484 ^ _172615) ^ [] : [-(less_than(_188980, _188978))], (486 ^ _172615) ^ [] : [less_than(_188978, _188980)]]], (488 ^ _172615) ^ [_189216, _189218] : [-(strictly_less_than(_189218, _189216)), less_than(_189218, _189216), -(less_than(_189216, _189218))], (500 ^ _172615) ^ [] : [isnonempty_pq(create_pq)], (502 ^ _172615) ^ [_189643, _189645] : [-(isnonempty_pq(insert_pq(_189645, _189643)))], (504 ^ _172615) ^ [_189724] : [contains_pq(create_pq, _189724)], (516 ^ _172615) ^ [_190142, _190144, _190146] : [517 ^ _172615 : [(518 ^ _172615) ^ [] : [contains_pq(_190146, _190142)], (520 ^ _172615) ^ [] : [_190144 = _190142]], -(contains_pq(insert_pq(_190146, _190144), _190142))], (506 ^ _172615) ^ [_189874, _189876, _189878] : [contains_pq(insert_pq(_189878, _189876), _189874), -(contains_pq(_189878, _189874)), -(_189876 = _189874)], (534 ^ _172615) ^ [_190785, _190787] : [536 ^ _172615 : [(537 ^ _172615) ^ [] : [-(contains_pq(_190787, 535 ^ [_190785, _190787]))], (539 ^ _172615) ^ [] : [less_than(_190785, 535 ^ [_190785, _190787])]], -(issmallestelement_pq(_190787, _190785))], (524 ^ _172615) ^ [_190471, _190473] : [issmallestelement_pq(_190473, _190471), 527 ^ _172615 : [(528 ^ _172615) ^ [_190608] : [contains_pq(_190473, _190608), -(less_than(_190471, _190608))]]], (543 ^ _172615) ^ [_191127, _191129] : [-(remove_pq(insert_pq(_191129, _191127), _191127) = _191129)], (545 ^ _172615) ^ [_191256, _191258, _191260] : [-(remove_pq(insert_pq(_191260, _191258), _191256) = insert_pq(remove_pq(_191260, _191256), _191258)), contains_pq(_191260, _191256), -(_191258 = _191256)], (555 ^ _172615) ^ [_191592, _191594] : [-(findmin_pq_eff(_191594, _191592) = _191594), contains_pq(_191594, _191592), issmallestelement_pq(_191594, _191592)], (565 ^ _172615) ^ [_191897, _191899] : [-(findmin_pq_res(_191899, _191897) = _191897), contains_pq(_191899, _191897), issmallestelement_pq(_191899, _191897)], (575 ^ _172615) ^ [_192202, _192204] : [-(removemin_pq_eff(_192204, _192202) = remove_pq(_192204, _192202)), contains_pq(_192204, _192202), issmallestelement_pq(_192204, _192202)], (595 ^ _172615) ^ [_192797, _192799, _192801] : [-(insert_pq(insert_pq(_192801, _192799), _192797) = insert_pq(insert_pq(_192801, _192797), _192799))], (585 ^ _172615) ^ [_192513, _192515] : [-(removemin_pq_res(_192515, _192513) = _192513), contains_pq(_192515, _192513), issmallestelement_pq(_192515, _192513)], (597 ^ _172615) ^ [] : [isnonempty_slb(create_slb)], (599 ^ _172615) ^ [_193017, _193019, _193021] : [-(isnonempty_slb(insert_slb(_193021, pair(_193019, _193017))))], (601 ^ _172615) ^ [_193103] : [contains_slb(create_slb, _193103)], (613 ^ _172615) ^ [_193551, _193553, _193555, _193557] : [614 ^ _172615 : [(615 ^ _172615) ^ [] : [contains_slb(_193557, _193553)], (617 ^ _172615) ^ [] : [_193555 = _193553]], -(contains_slb(insert_slb(_193557, pair(_193555, _193551)), _193553))], (603 ^ _172615) ^ [_193267, _193269, _193271, _193273] : [contains_slb(insert_slb(_193273, pair(_193271, _193267)), _193269), -(contains_slb(_193273, _193269)), -(_193271 = _193269)], (621 ^ _172615) ^ [_193849, _193851] : [pair_in_list(create_slb, _193851, _193849)], (623 ^ _172615) ^ [_194030, _194032, _194034, _194036, _194038] : [pair_in_list(insert_slb(_194038, pair(_194036, _194032)), _194034, _194030), -(pair_in_list(_194038, _194034, _194030)), 630 ^ _172615 : [(631 ^ _172615) ^ [] : [-(_194036 = _194034)], (633 ^ _172615) ^ [] : [-(_194032 = _194030)]]], (635 ^ _172615) ^ [_194409, _194411, _194413, _194415, _194417] : [-(pair_in_list(insert_slb(_194417, pair(_194415, _194411)), _194413, _194409)), 636 ^ _172615 : [(637 ^ _172615) ^ [] : [pair_in_list(_194417, _194413, _194409)], (639 ^ _172615) ^ [] : [_194415 = _194413, _194411 = _194409]]], (647 ^ _172615) ^ [_194835, _194837, _194839] : [-(remove_slb(insert_slb(_194839, pair(_194837, _194835)), _194837) = _194839)], (649 ^ _172615) ^ [_194983, _194985, _194987, _194989] : [-(remove_slb(insert_slb(_194989, pair(_194987, _194983)), _194985) = insert_slb(remove_slb(_194989, _194985), pair(_194987, _194983))), -(_194987 = _194985), contains_slb(_194989, _194985)], (659 ^ _172615) ^ [_195340, _195342, _195344] : [-(lookup_slb(insert_slb(_195344, pair(_195342, _195340)), _195342) = _195340)], (661 ^ _172615) ^ [_195488, _195490, _195492, _195494] : [-(lookup_slb(insert_slb(_195494, pair(_195492, _195488)), _195490) = lookup_slb(_195494, _195490)), -(_195492 = _195490), contains_slb(_195494, _195490)], (671 ^ _172615) ^ [_195805] : [-(update_slb(create_slb, _195805) = create_slb)], (673 ^ _172615) ^ [_195943, _195945, _195947, _195949] : [strictly_less_than(_195943, _195945), -(update_slb(insert_slb(_195949, pair(_195947, _195943)), _195945) = insert_slb(update_slb(_195949, _195945), pair(_195947, _195945)))], (679 ^ _172615) ^ [_196209, _196211, _196213, _196215] : [less_than(_196211, _196209), -(update_slb(insert_slb(_196215, pair(_196213, _196209)), _196211) = insert_slb(update_slb(_196215, _196211), pair(_196213, _196209)))], (994 ^ _172615) ^ [_207874, _207876, _207878] : [phi(findmin_cpq_eff(triple(_207878, _207876, _207874))), 995 ^ _172615 : [(996 ^ _172615) ^ [_207985] : [contains_cpq(triple(_207878, _207876, _207874), _207985), strictly_less_than(_207985, findmin_cpq_res(triple(_207878, _207876, _207874)))]]], (982 ^ _172615) ^ [_207442, _207444, _207446, _207448] : [contains_cpq(triple(_207448, _207446, _207444), _207442), -(contains_pq(i(triple(_207448, _207446, _207444)), _207442))], (988 ^ _172615) ^ [_207636, _207638, _207640, _207642] : [contains_pq(i(triple(_207642, _207640, _207638)), _207636), -(contains_cpq(triple(_207642, _207640, _207638), _207636))], (867 ^ _172615) ^ [_203419, _203421] : [-(i(triple(_203421, create_slb, _203419)) = create_pq)], (869 ^ _172615) ^ [_203561, _203563, _203565, _203567, _203569] : [-(i(triple(_203569, insert_slb(_203567, pair(_203563, _203561)), _203565)) = insert_pq(i(triple(_203569, _203567, _203565)), _203563))], (871 ^ _172615) ^ [_203726, _203728] : [pi_sharp_remove(_203728, _203726), -(contains_pq(_203728, _203726))], (877 ^ _172615) ^ [_203888, _203890] : [contains_pq(_203890, _203888), -(pi_sharp_remove(_203890, _203888))], (883 ^ _172615) ^ [_204129, _204131] : [pi_remove(_204131, _204129), -(pi_sharp_remove(i(_204131), _204129))], (889 ^ _172615) ^ [_204295, _204297] : [pi_sharp_remove(i(_204297), _204295), -(pi_remove(_204297, _204295))], (895 ^ _172615) ^ [_204540, _204542] : [pi_sharp_find_min(_204542, _204540), 898 ^ _172615 : [(899 ^ _172615) ^ [] : [-(contains_pq(_204542, _204540))], (901 ^ _172615) ^ [] : [-(issmallestelement_pq(_204542, _204540))]]], (903 ^ _172615) ^ [_204777, _204779] : [-(pi_sharp_find_min(_204779, _204777)), contains_pq(_204779, _204777), issmallestelement_pq(_204779, _204777)], (913 ^ _172615) ^ [_205093] : [pi_find_min(_205093), -(pi_sharp_find_min(i(_205093), 916 ^ [_205093]))], (920 ^ _172615) ^ [_205304] : [921 ^ _172615 : [(922 ^ _172615) ^ [_205373] : [pi_sharp_find_min(i(_205304), _205373)]], -(pi_find_min(_205304))], (926 ^ _172615) ^ [_205563, _205565] : [pi_sharp_removemin(_205565, _205563), 929 ^ _172615 : [(930 ^ _172615) ^ [] : [-(contains_pq(_205565, _205563))], (932 ^ _172615) ^ [] : [-(issmallestelement_pq(_205565, _205563))]]], (934 ^ _172615) ^ [_205800, _205802] : [-(pi_sharp_removemin(_205802, _205800)), contains_pq(_205802, _205800), issmallestelement_pq(_205802, _205800)], (944 ^ _172615) ^ [_206116] : [pi_removemin(_206116), -(pi_sharp_find_min(i(_206116), 947 ^ [_206116]))], (951 ^ _172615) ^ [_206327] : [952 ^ _172615 : [(953 ^ _172615) ^ [_206396] : [pi_sharp_find_min(i(_206327), _206396)]], -(pi_removemin(_206327))], (957 ^ _172615) ^ [_206552] : [phi(_206552), 961 ^ _172615 : [(962 ^ _172615) ^ [] : [-(succ_cpq(_206552, 960 ^ [_206552]))], (964 ^ _172615) ^ [] : [-(ok(960 ^ [_206552]))], (966 ^ _172615) ^ [] : [-(check_cpq(960 ^ [_206552]))]]], (968 ^ _172615) ^ [_206918] : [-(phi(_206918)), 969 ^ _172615 : [(970 ^ _172615) ^ [_207011] : [succ_cpq(_206918, _207011), ok(_207011), check_cpq(_207011)]]], (685 ^ _172615) ^ [_196486] : [-(succ_cpq(_196486, _196486))], (687 ^ _172615) ^ [_196607, _196609, _196611] : [succ_cpq(_196611, _196609), -(succ_cpq(_196611, insert_cpq(_196609, _196607)))], (693 ^ _172615) ^ [_196843, _196845, _196847] : [succ_cpq(_196847, _196845), -(succ_cpq(_196847, remove_cpq(_196845, _196843)))], (699 ^ _172615) ^ [_197065, _197067] : [succ_cpq(_197067, _197065), -(succ_cpq(_197067, findmin_cpq_eff(_197065)))], (705 ^ _172615) ^ [_197279, _197281] : [succ_cpq(_197281, _197279), -(succ_cpq(_197281, removemin_cpq_eff(_197279)))], (711 ^ _172615) ^ [_197478, _197480] : [-(check_cpq(triple(_197480, create_slb, _197478)))], (713 ^ _172615) ^ [_197632, _197634, _197636, _197638, _197640] : [less_than(_197632, _197634), 716 ^ _172615 : [(717 ^ _172615) ^ [] : [check_cpq(triple(_197640, insert_slb(_197638, pair(_197634, _197632)), _197636)), -(check_cpq(triple(_197640, _197638, _197636)))], (723 ^ _172615) ^ [] : [check_cpq(triple(_197640, _197638, _197636)), -(check_cpq(triple(_197640, insert_slb(_197638, pair(_197634, _197632)), _197636)))]]], (729 ^ _172615) ^ [_198218, _198220, _198222, _198224, _198226] : [strictly_less_than(_198220, _198218), 732 ^ _172615 : [(733 ^ _172615) ^ [] : [check_cpq(triple(_198226, insert_slb(_198224, pair(_198220, _198218)), _198222)), 736 ^ _172615 : [(737 ^ _172615) ^ [] : [-(false___)], (739 ^ _172615) ^ [] : [false___]]], (741 ^ _172615) ^ [] : [-(check_cpq(triple(_198226, insert_slb(_198224, pair(_198220, _198218)), _198222))), false___, -(false___)]]], (751 ^ _172615) ^ [_198965, _198967, _198969, _198971] : [contains_cpq(triple(_198971, _198969, _198967), _198965), -(contains_slb(_198969, _198965))], (757 ^ _172615) ^ [_199147, _199149, _199151, _199153] : [contains_slb(_199151, _199147), -(contains_cpq(triple(_199153, _199151, _199149), _199147))], (763 ^ _172615) ^ [_199408, _199410] : [ok(triple(_199410, _199408, bad)), 766 ^ _172615 : [(767 ^ _172615) ^ [] : [-(false___)], (769 ^ _172615) ^ [] : [false___]]], (771 ^ _172615) ^ [_199632, _199634] : [-(ok(triple(_199634, _199632, bad))), false___, -(false___)], (781 ^ _172615) ^ [_199939, _199941, _199943] : [-(ok(triple(_199943, _199941, _199939))), -(_199939 = bad)], (787 ^ _172615) ^ [_200177, _200179, _200181, _200183] : [-(insert_cpq(triple(_200183, _200181, _200179), _200177) = triple(insert_pqp(_200183, _200177), insert_slb(_200181, pair(_200177, bottom)), _200179))], (789 ^ _172615) ^ [_200338, _200340, _200342, _200344] : [-(contains_slb(_200342, _200338)), -(remove_cpq(triple(_200344, _200342, _200340), _200338) = triple(_200344, _200342, bad))], (795 ^ _172615) ^ [_200613, _200615, _200617, _200619] : [-(remove_cpq(triple(_200619, _200617, _200615), _200613) = triple(remove_pqp(_200619, _200613), remove_slb(_200617, _200613), _200615)), contains_slb(_200617, _200613), less_than(lookup_slb(_200617, _200613), _200613)], (805 ^ _172615) ^ [_201000, _201002, _201004, _201006] : [-(remove_cpq(triple(_201006, _201004, _201002), _201000) = triple(remove_pqp(_201006, _201000), remove_slb(_201004, _201000), bad)), contains_slb(_201004, _201000), strictly_less_than(_201000, lookup_slb(_201004, _201000))], (815 ^ _172615) ^ [_201344, _201346] : [-(findmin_cpq_eff(triple(_201346, create_slb, _201344)) = triple(_201346, create_slb, bad))], (817 ^ _172615) ^ [_201491, _201493, _201495, _201497] : [-(findmin_cpq_eff(triple(_201497, _201495, _201493)) = triple(_201497, update_slb(_201495, findmin_pqp_res(_201497)), bad)), -(_201495 = create_slb), -(contains_slb(_201495, findmin_pqp_res(_201497)))], (827 ^ _172615) ^ [_201878, _201880, _201882, _201884] : [-(findmin_cpq_eff(triple(_201884, _201882, _201880)) = triple(_201884, update_slb(_201882, findmin_pqp_res(_201884)), bad)), -(_201882 = create_slb), contains_slb(_201882, findmin_pqp_res(_201884)), strictly_less_than(findmin_pqp_res(_201884), lookup_slb(_201882, findmin_pqp_res(_201884)))], (855 ^ _172615) ^ [_202825, _202827] : [-(findmin_cpq_res(triple(_202827, create_slb, _202825)) = bottom)], (863 ^ _172615) ^ [_203180] : [-(removemin_cpq_eff(_203180) = remove_cpq(findmin_cpq_eff(_203180), findmin_cpq_res(_203180)))], (865 ^ _172615) ^ [_203247] : [-(removemin_cpq_res(_203247) = findmin_cpq_res(_203247))], (857 ^ _172615) ^ [_202968, _202970, _202972, _202974] : [-(_202972 = create_slb), -(findmin_cpq_res(triple(_202974, _202972, _202970)) = findmin_pqp_res(_202974))], (841 ^ _172615) ^ [_202373, _202375, _202377, _202379] : [-(findmin_cpq_eff(triple(_202379, _202377, _202375)) = triple(_202379, update_slb(_202377, findmin_pqp_res(_202379)), _202375)), -(_202377 = create_slb), contains_slb(_202377, findmin_pqp_res(_202379)), less_than(lookup_slb(_202377, findmin_pqp_res(_202379)), findmin_pqp_res(_202379))]], input).
% 1.46/2.44  ncf('1',plain,[phi(findmin_cpq_eff(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))), 996 : contains_cpq(triple(1003 ^ [], 1004 ^ [], 1005 ^ []), 535 ^ [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))]), 996 : strictly_less_than(535 ^ [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))], findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])))],start(994 ^ 0,bind([[_207874, _207876, _207878, _207985], [1005 ^ [], 1004 ^ [], 1003 ^ [], 535 ^ [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))]]]))).
% 1.46/2.44  ncf('1.1',plain,[-(phi(findmin_cpq_eff(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))))],extension(1007 ^ 1)).
% 1.46/2.44  ncf('1.2',plain,[-(contains_cpq(triple(1003 ^ [], 1004 ^ [], 1005 ^ []), 535 ^ [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))])), contains_cpq(triple(1003 ^ [], 1004 ^ [], 1005 ^ []), 535 ^ [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))]), triple(1003 ^ [], 1004 ^ [], 1005 ^ []) = triple(1003 ^ [], 1004 ^ [], 1005 ^ []), 535 ^ [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))] = 535 ^ [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))]],extension(210 ^ 3,bind([[_179342, _179344, _179346, _179348], [535 ^ [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))], 535 ^ [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))], triple(1003 ^ [], 1004 ^ [], 1005 ^ []), triple(1003 ^ [], 1004 ^ [], 1005 ^ [])]]))).
% 1.46/2.44  ncf('1.2.1',plain,[-(contains_cpq(triple(1003 ^ [], 1004 ^ [], 1005 ^ []), 535 ^ [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))])), contains_pq(i(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), 535 ^ [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))])],extension(988 ^ 4,bind([[_207636, _207638, _207640, _207642], [535 ^ [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))], 1005 ^ [], 1004 ^ [], 1003 ^ []]]))).
% 1.46/2.44  ncf('1.2.1.1',plain,[-(contains_pq(i(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), 535 ^ [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))])), -(issmallestelement_pq(i(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))))],extension(534 ^ 5,bind([[_190785, _190787], [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))]]))).
% 1.46/2.44  ncf('1.2.1.1.1',plain,[issmallestelement_pq(i(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])))],extension(1009 ^ 6)).
% 1.46/2.44  ncf('1.2.2',plain,[-(triple(1003 ^ [], 1004 ^ [], 1005 ^ []) = triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), 1003 ^ [] = 1003 ^ [], 1004 ^ [] = 1004 ^ [], 1005 ^ [] = 1005 ^ []],extension(448 ^ 4,bind([[_187736, _187738, _187740, _187742, _187744, _187746], [1005 ^ [], 1005 ^ [], 1004 ^ [], 1004 ^ [], 1003 ^ [], 1003 ^ []]]))).
% 1.46/2.44  ncf('1.2.2.1',plain,[-(1003 ^ [] = 1003 ^ [])],extension(2 ^ 5,bind([[_172759], [1003 ^ []]]))).
% 1.46/2.44  ncf('1.2.2.2',plain,[-(1004 ^ [] = 1004 ^ [])],extension(2 ^ 5,bind([[_172759], [1004 ^ []]]))).
% 1.46/2.44  ncf('1.2.2.3',plain,[-(1005 ^ [] = 1005 ^ [])],extension(2 ^ 5,bind([[_172759], [1005 ^ []]]))).
% 1.46/2.44  ncf('1.2.3',plain,[-(535 ^ [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))] = 535 ^ [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))])],extension(2 ^ 4,bind([[_172759], [535 ^ [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))]]]))).
% 1.46/2.44  ncf('1.3',plain,[-(strictly_less_than(535 ^ [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))], findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])))), less_than(535 ^ [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))], findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))), -(less_than(findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), 535 ^ [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))]))],extension(488 ^ 3,bind([[_189216, _189218], [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), 535 ^ [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))]]]))).
% 1.46/2.44  ncf('1.3.1',plain,[-(less_than(535 ^ [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))], findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])))), -(less_than(findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), 535 ^ [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))]))],extension(472 ^ 4,bind([[_188660, _188662], [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), 535 ^ [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))]]]))).
% 1.46/2.44  ncf('1.3.1.1',plain,[less_than(findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), 535 ^ [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))]), -(issmallestelement_pq(i(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))))],extension(534 ^ 5,bind([[_190785, _190787], [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))]]))).
% 1.46/2.44  ncf('1.3.1.1.1',plain,[issmallestelement_pq(i(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])))],extension(1009 ^ 6)).
% 1.46/2.44  ncf('1.3.2',plain,[less_than(findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), 535 ^ [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))]), -(less_than(findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), 535 ^ [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))])), findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])) = findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), 535 ^ [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))] = 535 ^ [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))]],extension(72 ^ 4,bind([[_175054, _175056, _175058, _175060], [535 ^ [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))], 535 ^ [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))], findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))]]))).
% 1.46/2.44  ncf('1.3.2.1',plain,[less_than(findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), 535 ^ [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))]), -(issmallestelement_pq(i(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))))],extension(534 ^ 5,bind([[_190785, _190787], [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))]]))).
% 1.46/2.44  ncf('1.3.2.1.1',plain,[issmallestelement_pq(i(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])))],extension(1009 ^ 6)).
% 1.46/2.44  ncf('1.3.2.2',plain,[-(findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])) = findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])))],extension(2 ^ 5,bind([[_172759], [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))]]))).
% 1.46/2.44  ncf('1.3.2.3',plain,[-(535 ^ [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))] = 535 ^ [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))])],extension(2 ^ 5,bind([[_172759], [535 ^ [findmin_cpq_res(triple(1003 ^ [], 1004 ^ [], 1005 ^ [])), i(triple(1003 ^ [], 1004 ^ [], 1005 ^ []))]]]))).
% 1.46/2.44  %-----------------------------------------------------
% 1.46/2.44  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------