%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV369+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n017.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 12:20:31 EDT 2023

% Result   : Theorem 10.29s 10.72s
% Output   : Proof 10.29s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWV369+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.11  % Command  : nanocop.sh %s %d
% 0.11/0.32  % Computer : n017.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Fri May 19 02:11:15 EDT 2023
% 0.11/0.32  % CPUTime  : 
% 10.29/10.72  
% 10.29/10.72  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 10.29/10.72  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.29/10.72  %-----------------------------------------------------
% 10.29/10.72  ncf(matrix, plain, [(985 ^ _170094) ^ [] : [986 ^ _170094 : [(987 ^ _170094) ^ [] : [-(contains_cpq(triple(981 ^ [], create_slb, 982 ^ []), 983 ^ []))], (989 ^ _170094) ^ [] : [contains_pq(i(triple(981 ^ [], create_slb, 982 ^ [])), 983 ^ [])]], 990 ^ _170094 : [(991 ^ _170094) ^ [] : [-(contains_pq(i(triple(981 ^ [], create_slb, 982 ^ [])), 983 ^ []))], (993 ^ _170094) ^ [] : [contains_cpq(triple(981 ^ [], create_slb, 982 ^ []), 983 ^ [])]]], (262 ^ _170094) ^ [_178514, _178516, _178518, _178520] : [-(findmin_pq_eff(_178520, _178516) = findmin_pq_eff(_178518, _178514)), _178520 = _178518, _178516 = _178514], (272 ^ _170094) ^ [_178873, _178875, _178877, _178879] : [-(findmin_pq_res(_178879, _178875) = findmin_pq_res(_178877, _178873)), _178879 = _178877, _178875 = _178873], (282 ^ _170094) ^ [_179232, _179234, _179236, _179238] : [-(removemin_pq_eff(_179238, _179234) = removemin_pq_eff(_179236, _179232)), _179238 = _179236, _179234 = _179232], (292 ^ _170094) ^ [_179591, _179593, _179595, _179597] : [-(remove_pq(_179597, _179593) = remove_pq(_179595, _179591)), _179597 = _179595, _179593 = _179591], (302 ^ _170094) ^ [_179950, _179952, _179954, _179956] : [-(removemin_pq_res(_179956, _179952) = removemin_pq_res(_179954, _179950)), _179956 = _179954, _179952 = _179950], (312 ^ _170094) ^ [_180309, _180311, _180313, _180315] : [-(insert_cpq(_180315, _180311) = insert_cpq(_180313, _180309)), _180315 = _180313, _180311 = _180309], (322 ^ _170094) ^ [_180668, _180670, _180672, _180674] : [-(insert_pqp(_180674, _180670) = insert_pqp(_180672, _180668)), _180674 = _180672, _180670 = _180668], (332 ^ _170094) ^ [_181027, _181029, _181031, _181033] : [-(remove_pqp(_181033, _181029) = remove_pqp(_181031, _181027)), _181033 = _181031, _181029 = _181027], (342 ^ _170094) ^ [_181386, _181388, _181390, _181392] : [-(remove_slb(_181392, _181388) = remove_slb(_181390, _181386)), _181392 = _181390, _181388 = _181386], (352 ^ _170094) ^ [_181745, _181747, _181749, _181751] : [-(lookup_slb(_181751, _181747) = lookup_slb(_181749, _181745)), _181751 = _181749, _181747 = _181745], (362 ^ _170094) ^ [_182104, _182106, _182108, _182110] : [-(update_slb(_182110, _182106) = update_slb(_182108, _182104)), _182110 = _182108, _182106 = _182104], (372 ^ _170094) ^ [_182435, _182437] : [_182437 = _182435, -(findmin_pqp_res(_182437) = findmin_pqp_res(_182435))], (378 ^ _170094) ^ [_182653, _182655] : [_182655 = _182653, -(removemin_cpq_eff(_182655) = removemin_cpq_eff(_182653))], (384 ^ _170094) ^ [_182899, _182901, _182903, _182905] : [-(remove_cpq(_182905, _182901) = remove_cpq(_182903, _182899)), _182905 = _182903, _182901 = _182899], (394 ^ _170094) ^ [_183230, _183232] : [_183232 = _183230, -(findmin_cpq_eff(_183232) = findmin_cpq_eff(_183230))], (400 ^ _170094) ^ [_183448, _183450] : [_183450 = _183448, -(removemin_cpq_res(_183450) = removemin_cpq_res(_183448))], (406 ^ _170094) ^ [_183666, _183668] : [_183668 = _183666, -(findmin_cpq_res(_183668) = findmin_cpq_res(_183666))], (412 ^ _170094) ^ [_183912, _183914, _183916, _183918] : [-(insert_slb(_183918, _183914) = insert_slb(_183916, _183912)), _183918 = _183916, _183914 = _183912], (422 ^ _170094) ^ [_184271, _184273, _184275, _184277] : [-(pair(_184277, _184273) = pair(_184275, _184271)), _184277 = _184275, _184273 = _184271], (432 ^ _170094) ^ [_184630, _184632, _184634, _184636] : [-(insert_pq(_184636, _184632) = insert_pq(_184634, _184630)), _184636 = _184634, _184632 = _184630], (442 ^ _170094) ^ [_184961, _184963] : [_184963 = _184961, -(i(_184963) = i(_184961))], (448 ^ _170094) ^ [_185215, _185217, _185219, _185221, _185223, _185225] : [-(triple(_185225, _185221, _185217) = triple(_185223, _185219, _185215)), _185225 = _185223, _185221 = _185219, _185217 = _185215], (2 ^ _170094) ^ [_170238] : [-(_170238 = _170238)], (4 ^ _170094) ^ [_170345, _170347] : [_170347 = _170345, -(_170345 = _170347)], (10 ^ _170094) ^ [_170549, _170551, _170553] : [-(_170553 = _170549), _170553 = _170551, _170551 = _170549], (20 ^ _170094) ^ [_170862, _170864] : [-(isnonempty_pq(_170862)), _170864 = _170862, isnonempty_pq(_170864)], (30 ^ _170094) ^ [_171157, _171159] : [-(isnonempty_slb(_171157)), _171159 = _171157, isnonempty_slb(_171159)], (40 ^ _170094) ^ [_171508, _171510, _171512, _171514, _171516, _171518] : [-(pair_in_list(_171516, _171512, _171508)), pair_in_list(_171518, _171514, _171510), _171518 = _171516, _171514 = _171512, _171510 = _171508], (58 ^ _170094) ^ [_172089, _172091, _172093, _172095] : [-(strictly_less_than(_172093, _172089)), strictly_less_than(_172095, _172091), _172095 = _172093, _172091 = _172089], (72 ^ _170094) ^ [_172533, _172535, _172537, _172539] : [-(contains_slb(_172537, _172533)), contains_slb(_172539, _172535), _172539 = _172537, _172535 = _172533], (86 ^ _170094) ^ [_172977, _172979, _172981, _172983] : [-(less_than(_172981, _172977)), less_than(_172983, _172979), _172983 = _172981, _172979 = _172977], (100 ^ _170094) ^ [_173421, _173423, _173425, _173427] : [-(pi_remove(_173425, _173421)), pi_remove(_173427, _173423), _173427 = _173425, _173423 = _173421], (114 ^ _170094) ^ [_173865, _173867, _173869, _173871] : [-(pi_sharp_remove(_173869, _173865)), pi_sharp_remove(_173871, _173867), _173871 = _173869, _173867 = _173865], (128 ^ _170094) ^ [_174281, _174283] : [-(pi_find_min(_174281)), _174283 = _174281, pi_find_min(_174283)], (138 ^ _170094) ^ [_174604, _174606, _174608, _174610] : [-(pi_sharp_removemin(_174608, _174604)), pi_sharp_removemin(_174610, _174606), _174610 = _174608, _174606 = _174604], (152 ^ _170094) ^ [_175048, _175050, _175052, _175054] : [-(issmallestelement_pq(_175052, _175048)), issmallestelement_pq(_175054, _175050), _175054 = _175052, _175050 = _175048], (166 ^ _170094) ^ [_175464, _175466] : [-(pi_removemin(_175464)), _175466 = _175464, pi_removemin(_175466)], (176 ^ _170094) ^ [_175787, _175789, _175791, _175793] : [-(pi_sharp_find_min(_175791, _175787)), pi_sharp_find_min(_175793, _175789), _175793 = _175791, _175789 = _175787], (190 ^ _170094) ^ [_176203, _176205] : [-(phi(_176203)), _176205 = _176203, phi(_176205)], (200 ^ _170094) ^ [_176526, _176528, _176530, _176532] : [-(succ_cpq(_176530, _176526)), succ_cpq(_176532, _176528), _176532 = _176530, _176528 = _176526], (214 ^ _170094) ^ [_176942, _176944] : [-(ok(_176942)), _176944 = _176942, ok(_176944)], (224 ^ _170094) ^ [_177237, _177239] : [-(check_cpq(_177237)), _177239 = _177237, check_cpq(_177239)], (234 ^ _170094) ^ [_177560, _177562, _177564, _177566] : [-(contains_cpq(_177564, _177560)), contains_cpq(_177566, _177562), _177566 = _177564, _177562 = _177560], (248 ^ _170094) ^ [_177984, _177986, _177988, _177990] : [-(contains_pq(_177988, _177984)), contains_pq(_177990, _177986), _177990 = _177988, _177986 = _177984], (462 ^ _170094) ^ [_185830, _185832, _185834] : [-(less_than(_185834, _185830)), less_than(_185834, _185832), less_than(_185832, _185830)], (472 ^ _170094) ^ [_186139, _186141] : [-(less_than(_186141, _186139)), -(less_than(_186139, _186141))], (478 ^ _170094) ^ [_186321] : [-(less_than(_186321, _186321))], (498 ^ _170094) ^ [_186950] : [-(less_than(bottom, _186950))], (480 ^ _170094) ^ [_186457, _186459] : [strictly_less_than(_186459, _186457), 483 ^ _170094 : [(484 ^ _170094) ^ [] : [-(less_than(_186459, _186457))], (486 ^ _170094) ^ [] : [less_than(_186457, _186459)]]], (488 ^ _170094) ^ [_186695, _186697] : [-(strictly_less_than(_186697, _186695)), less_than(_186697, _186695), -(less_than(_186695, _186697))], (500 ^ _170094) ^ [] : [isnonempty_pq(create_pq)], (502 ^ _170094) ^ [_187122, _187124] : [-(isnonempty_pq(insert_pq(_187124, _187122)))], (504 ^ _170094) ^ [_187203] : [contains_pq(create_pq, _187203)], (516 ^ _170094) ^ [_187621, _187623, _187625] : [517 ^ _170094 : [(518 ^ _170094) ^ [] : [contains_pq(_187625, _187621)], (520 ^ _170094) ^ [] : [_187623 = _187621]], -(contains_pq(insert_pq(_187625, _187623), _187621))], (506 ^ _170094) ^ [_187353, _187355, _187357] : [contains_pq(insert_pq(_187357, _187355), _187353), -(contains_pq(_187357, _187353)), -(_187355 = _187353)], (534 ^ _170094) ^ [_188264, _188266] : [536 ^ _170094 : [(537 ^ _170094) ^ [] : [-(contains_pq(_188266, 535 ^ [_188264, _188266]))], (539 ^ _170094) ^ [] : [less_than(_188264, 535 ^ [_188264, _188266])]], -(issmallestelement_pq(_188266, _188264))], (524 ^ _170094) ^ [_187950, _187952] : [issmallestelement_pq(_187952, _187950), 527 ^ _170094 : [(528 ^ _170094) ^ [_188087] : [contains_pq(_187952, _188087), -(less_than(_187950, _188087))]]], (543 ^ _170094) ^ [_188606, _188608] : [-(remove_pq(insert_pq(_188608, _188606), _188606) = _188608)], (545 ^ _170094) ^ [_188735, _188737, _188739] : [-(remove_pq(insert_pq(_188739, _188737), _188735) = insert_pq(remove_pq(_188739, _188735), _188737)), contains_pq(_188739, _188735), -(_188737 = _188735)], (555 ^ _170094) ^ [_189071, _189073] : [-(findmin_pq_eff(_189073, _189071) = _189073), contains_pq(_189073, _189071), issmallestelement_pq(_189073, _189071)], (565 ^ _170094) ^ [_189376, _189378] : [-(findmin_pq_res(_189378, _189376) = _189376), contains_pq(_189378, _189376), issmallestelement_pq(_189378, _189376)], (575 ^ _170094) ^ [_189681, _189683] : [-(removemin_pq_eff(_189683, _189681) = remove_pq(_189683, _189681)), contains_pq(_189683, _189681), issmallestelement_pq(_189683, _189681)], (595 ^ _170094) ^ [_190276, _190278, _190280] : [-(insert_pq(insert_pq(_190280, _190278), _190276) = insert_pq(insert_pq(_190280, _190276), _190278))], (585 ^ _170094) ^ [_189992, _189994] : [-(removemin_pq_res(_189994, _189992) = _189992), contains_pq(_189994, _189992), issmallestelement_pq(_189994, _189992)], (597 ^ _170094) ^ [] : [isnonempty_slb(create_slb)], (599 ^ _170094) ^ [_190496, _190498, _190500] : [-(isnonempty_slb(insert_slb(_190500, pair(_190498, _190496))))], (601 ^ _170094) ^ [_190582] : [contains_slb(create_slb, _190582)], (613 ^ _170094) ^ [_191030, _191032, _191034, _191036] : [614 ^ _170094 : [(615 ^ _170094) ^ [] : [contains_slb(_191036, _191032)], (617 ^ _170094) ^ [] : [_191034 = _191032]], -(contains_slb(insert_slb(_191036, pair(_191034, _191030)), _191032))], (603 ^ _170094) ^ [_190746, _190748, _190750, _190752] : [contains_slb(insert_slb(_190752, pair(_190750, _190746)), _190748), -(contains_slb(_190752, _190748)), -(_190750 = _190748)], (621 ^ _170094) ^ [_191328, _191330] : [pair_in_list(create_slb, _191330, _191328)], (623 ^ _170094) ^ [_191509, _191511, _191513, _191515, _191517] : [pair_in_list(insert_slb(_191517, pair(_191515, _191511)), _191513, _191509), -(pair_in_list(_191517, _191513, _191509)), 630 ^ _170094 : [(631 ^ _170094) ^ [] : [-(_191515 = _191513)], (633 ^ _170094) ^ [] : [-(_191511 = _191509)]]], (635 ^ _170094) ^ [_191888, _191890, _191892, _191894, _191896] : [-(pair_in_list(insert_slb(_191896, pair(_191894, _191890)), _191892, _191888)), 636 ^ _170094 : [(637 ^ _170094) ^ [] : [pair_in_list(_191896, _191892, _191888)], (639 ^ _170094) ^ [] : [_191894 = _191892, _191890 = _191888]]], (647 ^ _170094) ^ [_192314, _192316, _192318] : [-(remove_slb(insert_slb(_192318, pair(_192316, _192314)), _192316) = _192318)], (649 ^ _170094) ^ [_192462, _192464, _192466, _192468] : [-(remove_slb(insert_slb(_192468, pair(_192466, _192462)), _192464) = insert_slb(remove_slb(_192468, _192464), pair(_192466, _192462))), -(_192466 = _192464), contains_slb(_192468, _192464)], (659 ^ _170094) ^ [_192819, _192821, _192823] : [-(lookup_slb(insert_slb(_192823, pair(_192821, _192819)), _192821) = _192819)], (661 ^ _170094) ^ [_192967, _192969, _192971, _192973] : [-(lookup_slb(insert_slb(_192973, pair(_192971, _192967)), _192969) = lookup_slb(_192973, _192969)), -(_192971 = _192969), contains_slb(_192973, _192969)], (671 ^ _170094) ^ [_193284] : [-(update_slb(create_slb, _193284) = create_slb)], (673 ^ _170094) ^ [_193422, _193424, _193426, _193428] : [strictly_less_than(_193422, _193424), -(update_slb(insert_slb(_193428, pair(_193426, _193422)), _193424) = insert_slb(update_slb(_193428, _193424), pair(_193426, _193424)))], (679 ^ _170094) ^ [_193688, _193690, _193692, _193694] : [less_than(_193690, _193688), -(update_slb(insert_slb(_193694, pair(_193692, _193688)), _193690) = insert_slb(update_slb(_193694, _193690), pair(_193692, _193688)))], (867 ^ _170094) ^ [_200878, _200880] : [-(i(triple(_200880, create_slb, _200878)) = create_pq)], (869 ^ _170094) ^ [_201020, _201022, _201024, _201026, _201028] : [-(i(triple(_201028, insert_slb(_201026, pair(_201022, _201020)), _201024)) = insert_pq(i(triple(_201028, _201026, _201024)), _201022))], (871 ^ _170094) ^ [_201185, _201187] : [pi_sharp_remove(_201187, _201185), -(contains_pq(_201187, _201185))], (877 ^ _170094) ^ [_201347, _201349] : [contains_pq(_201349, _201347), -(pi_sharp_remove(_201349, _201347))], (883 ^ _170094) ^ [_201588, _201590] : [pi_remove(_201590, _201588), -(pi_sharp_remove(i(_201590), _201588))], (889 ^ _170094) ^ [_201754, _201756] : [pi_sharp_remove(i(_201756), _201754), -(pi_remove(_201756, _201754))], (895 ^ _170094) ^ [_201999, _202001] : [pi_sharp_find_min(_202001, _201999), 898 ^ _170094 : [(899 ^ _170094) ^ [] : [-(contains_pq(_202001, _201999))], (901 ^ _170094) ^ [] : [-(issmallestelement_pq(_202001, _201999))]]], (903 ^ _170094) ^ [_202236, _202238] : [-(pi_sharp_find_min(_202238, _202236)), contains_pq(_202238, _202236), issmallestelement_pq(_202238, _202236)], (913 ^ _170094) ^ [_202552] : [pi_find_min(_202552), -(pi_sharp_find_min(i(_202552), 916 ^ [_202552]))], (920 ^ _170094) ^ [_202763] : [921 ^ _170094 : [(922 ^ _170094) ^ [_202832] : [pi_sharp_find_min(i(_202763), _202832)]], -(pi_find_min(_202763))], (926 ^ _170094) ^ [_203022, _203024] : [pi_sharp_removemin(_203024, _203022), 929 ^ _170094 : [(930 ^ _170094) ^ [] : [-(contains_pq(_203024, _203022))], (932 ^ _170094) ^ [] : [-(issmallestelement_pq(_203024, _203022))]]], (934 ^ _170094) ^ [_203259, _203261] : [-(pi_sharp_removemin(_203261, _203259)), contains_pq(_203261, _203259), issmallestelement_pq(_203261, _203259)], (944 ^ _170094) ^ [_203575] : [pi_removemin(_203575), -(pi_sharp_find_min(i(_203575), 947 ^ [_203575]))], (951 ^ _170094) ^ [_203786] : [952 ^ _170094 : [(953 ^ _170094) ^ [_203855] : [pi_sharp_find_min(i(_203786), _203855)]], -(pi_removemin(_203786))], (957 ^ _170094) ^ [_204011] : [phi(_204011), 961 ^ _170094 : [(962 ^ _170094) ^ [] : [-(succ_cpq(_204011, 960 ^ [_204011]))], (964 ^ _170094) ^ [] : [-(ok(960 ^ [_204011]))], (966 ^ _170094) ^ [] : [-(check_cpq(960 ^ [_204011]))]]], (968 ^ _170094) ^ [_204377] : [-(phi(_204377)), 969 ^ _170094 : [(970 ^ _170094) ^ [_204470] : [succ_cpq(_204377, _204470), ok(_204470), check_cpq(_204470)]]], (685 ^ _170094) ^ [_193965] : [-(succ_cpq(_193965, _193965))], (687 ^ _170094) ^ [_194086, _194088, _194090] : [succ_cpq(_194090, _194088), -(succ_cpq(_194090, insert_cpq(_194088, _194086)))], (693 ^ _170094) ^ [_194322, _194324, _194326] : [succ_cpq(_194326, _194324), -(succ_cpq(_194326, remove_cpq(_194324, _194322)))], (699 ^ _170094) ^ [_194544, _194546] : [succ_cpq(_194546, _194544), -(succ_cpq(_194546, findmin_cpq_eff(_194544)))], (705 ^ _170094) ^ [_194758, _194760] : [succ_cpq(_194760, _194758), -(succ_cpq(_194760, removemin_cpq_eff(_194758)))], (711 ^ _170094) ^ [_194957, _194959] : [-(check_cpq(triple(_194959, create_slb, _194957)))], (713 ^ _170094) ^ [_195111, _195113, _195115, _195117, _195119] : [less_than(_195111, _195113), 716 ^ _170094 : [(717 ^ _170094) ^ [] : [check_cpq(triple(_195119, insert_slb(_195117, pair(_195113, _195111)), _195115)), -(check_cpq(triple(_195119, _195117, _195115)))], (723 ^ _170094) ^ [] : [check_cpq(triple(_195119, _195117, _195115)), -(check_cpq(triple(_195119, insert_slb(_195117, pair(_195113, _195111)), _195115)))]]], (729 ^ _170094) ^ [_195697, _195699, _195701, _195703, _195705] : [strictly_less_than(_195699, _195697), 732 ^ _170094 : [(733 ^ _170094) ^ [] : [check_cpq(triple(_195705, insert_slb(_195703, pair(_195699, _195697)), _195701)), 736 ^ _170094 : [(737 ^ _170094) ^ [] : [-(false___)], (739 ^ _170094) ^ [] : [false___]]], (741 ^ _170094) ^ [] : [-(check_cpq(triple(_195705, insert_slb(_195703, pair(_195699, _195697)), _195701))), false___, -(false___)]]], (751 ^ _170094) ^ [_196444, _196446, _196448, _196450] : [contains_cpq(triple(_196450, _196448, _196446), _196444), -(contains_slb(_196448, _196444))], (757 ^ _170094) ^ [_196626, _196628, _196630, _196632] : [contains_slb(_196630, _196626), -(contains_cpq(triple(_196632, _196630, _196628), _196626))], (763 ^ _170094) ^ [_196887, _196889] : [ok(triple(_196889, _196887, bad)), 766 ^ _170094 : [(767 ^ _170094) ^ [] : [-(false___)], (769 ^ _170094) ^ [] : [false___]]], (771 ^ _170094) ^ [_197111, _197113] : [-(ok(triple(_197113, _197111, bad))), false___, -(false___)], (781 ^ _170094) ^ [_197418, _197420, _197422] : [-(ok(triple(_197422, _197420, _197418))), -(_197418 = bad)], (787 ^ _170094) ^ [_197656, _197658, _197660, _197662] : [-(insert_cpq(triple(_197662, _197660, _197658), _197656) = triple(insert_pqp(_197662, _197656), insert_slb(_197660, pair(_197656, bottom)), _197658))], (789 ^ _170094) ^ [_197817, _197819, _197821, _197823] : [-(contains_slb(_197821, _197817)), -(remove_cpq(triple(_197823, _197821, _197819), _197817) = triple(_197823, _197821, bad))], (795 ^ _170094) ^ [_198092, _198094, _198096, _198098] : [-(remove_cpq(triple(_198098, _198096, _198094), _198092) = triple(remove_pqp(_198098, _198092), remove_slb(_198096, _198092), _198094)), contains_slb(_198096, _198092), less_than(lookup_slb(_198096, _198092), _198092)], (805 ^ _170094) ^ [_198479, _198481, _198483, _198485] : [-(remove_cpq(triple(_198485, _198483, _198481), _198479) = triple(remove_pqp(_198485, _198479), remove_slb(_198483, _198479), bad)), contains_slb(_198483, _198479), strictly_less_than(_198479, lookup_slb(_198483, _198479))], (815 ^ _170094) ^ [_198823, _198825] : [-(findmin_cpq_eff(triple(_198825, create_slb, _198823)) = triple(_198825, create_slb, bad))], (817 ^ _170094) ^ [_198970, _198972, _198974, _198976] : [-(findmin_cpq_eff(triple(_198976, _198974, _198972)) = triple(_198976, update_slb(_198974, findmin_pqp_res(_198976)), bad)), -(_198974 = create_slb), -(contains_slb(_198974, findmin_pqp_res(_198976)))], (827 ^ _170094) ^ [_199357, _199359, _199361, _199363] : [-(findmin_cpq_eff(triple(_199363, _199361, _199359)) = triple(_199363, update_slb(_199361, findmin_pqp_res(_199363)), bad)), -(_199361 = create_slb), contains_slb(_199361, findmin_pqp_res(_199363)), strictly_less_than(findmin_pqp_res(_199363), lookup_slb(_199361, findmin_pqp_res(_199363)))], (855 ^ _170094) ^ [_200304, _200306] : [-(findmin_cpq_res(triple(_200306, create_slb, _200304)) = bottom)], (863 ^ _170094) ^ [_200659] : [-(removemin_cpq_eff(_200659) = remove_cpq(findmin_cpq_eff(_200659), findmin_cpq_res(_200659)))], (865 ^ _170094) ^ [_200726] : [-(removemin_cpq_res(_200726) = findmin_cpq_res(_200726))], (857 ^ _170094) ^ [_200447, _200449, _200451, _200453] : [-(_200451 = create_slb), -(findmin_cpq_res(triple(_200453, _200451, _200449)) = findmin_pqp_res(_200453))], (841 ^ _170094) ^ [_199852, _199854, _199856, _199858] : [-(findmin_cpq_eff(triple(_199858, _199856, _199854)) = triple(_199858, update_slb(_199856, findmin_pqp_res(_199858)), _199854)), -(_199856 = create_slb), contains_slb(_199856, findmin_pqp_res(_199858)), less_than(lookup_slb(_199856, findmin_pqp_res(_199858)), findmin_pqp_res(_199858))]], input).
% 10.29/10.72  ncf('1',plain,[989 : contains_pq(i(triple(981 ^ [], create_slb, 982 ^ [])), 983 ^ []), 993 : contains_cpq(triple(981 ^ [], create_slb, 982 ^ []), 983 ^ [])],start(985 ^ 0)).
% 10.29/10.72  ncf('1.1',plain,[-(contains_pq(i(triple(981 ^ [], create_slb, 982 ^ [])), 983 ^ [])), contains_pq(insert_pq(i(triple(981 ^ [], create_slb, 982 ^ [])), 983 ^ []), 983 ^ []), -(983 ^ [] = 983 ^ [])],extension(506 ^ 3,bind([[_187353, _187355, _187357], [983 ^ [], 983 ^ [], i(triple(981 ^ [], create_slb, 982 ^ []))]]))).
% 10.29/10.72  ncf('1.1.1',plain,[-(contains_pq(insert_pq(i(triple(981 ^ [], create_slb, 982 ^ [])), 983 ^ []), 983 ^ [])), contains_pq(insert_pq(i(triple(981 ^ [], create_slb, 982 ^ [])), 983 ^ []), 983 ^ []), insert_pq(i(triple(981 ^ [], create_slb, 982 ^ [])), 983 ^ []) = insert_pq(i(triple(981 ^ [], create_slb, 982 ^ [])), 983 ^ []), 983 ^ [] = 983 ^ []],extension(248 ^ 4,bind([[_177984, _177986, _177988, _177990], [983 ^ [], 983 ^ [], insert_pq(i(triple(981 ^ [], create_slb, 982 ^ [])), 983 ^ []), insert_pq(i(triple(981 ^ [], create_slb, 982 ^ [])), 983 ^ [])]]))).
% 10.29/10.72  ncf('1.1.1.1',plain,[-(contains_pq(insert_pq(i(triple(981 ^ [], create_slb, 982 ^ [])), 983 ^ []), 983 ^ [])), 520 : 983 ^ [] = 983 ^ []],extension(516 ^ 5,bind([[_187621, _187623, _187625], [983 ^ [], 983 ^ [], i(triple(981 ^ [], create_slb, 982 ^ []))]]))).
% 10.29/10.72  ncf('1.1.1.1.1',plain,[-(983 ^ [] = 983 ^ [])],extension(2 ^ 8,bind([[_170238], [983 ^ []]]))).
% 10.29/10.72  ncf('1.1.1.2',plain,[-(insert_pq(i(triple(981 ^ [], create_slb, 982 ^ [])), 983 ^ []) = insert_pq(i(triple(981 ^ [], create_slb, 982 ^ [])), 983 ^ [])), i(triple(981 ^ [], create_slb, 982 ^ [])) = i(triple(981 ^ [], create_slb, 982 ^ [])), 983 ^ [] = 983 ^ []],extension(432 ^ 5,bind([[_184630, _184632, _184634, _184636], [983 ^ [], 983 ^ [], i(triple(981 ^ [], create_slb, 982 ^ [])), i(triple(981 ^ [], create_slb, 982 ^ []))]]))).
% 10.29/10.72  ncf('1.1.1.2.1',plain,[-(i(triple(981 ^ [], create_slb, 982 ^ [])) = i(triple(981 ^ [], create_slb, 982 ^ [])))],extension(2 ^ 6,bind([[_170238], [i(triple(981 ^ [], create_slb, 982 ^ []))]]))).
% 10.29/10.72  ncf('1.1.1.2.2',plain,[-(983 ^ [] = 983 ^ [])],extension(2 ^ 6,bind([[_170238], [983 ^ []]]))).
% 10.29/10.72  ncf('1.1.1.3',plain,[-(983 ^ [] = 983 ^ [])],extension(2 ^ 5,bind([[_170238], [983 ^ []]]))).
% 10.29/10.72  ncf('1.1.2',plain,[983 ^ [] = 983 ^ [], -(contains_cpq(triple(981 ^ [], create_slb, 982 ^ []), 983 ^ [])), contains_cpq(triple(981 ^ [], create_slb, 982 ^ []), 983 ^ []), triple(981 ^ [], create_slb, 982 ^ []) = triple(981 ^ [], create_slb, 982 ^ [])],extension(234 ^ 4,bind([[_177560, _177562, _177564, _177566], [983 ^ [], 983 ^ [], triple(981 ^ [], create_slb, 982 ^ []), triple(981 ^ [], create_slb, 982 ^ [])]]))).
% 10.29/10.72  ncf('1.1.2.1',plain,[contains_cpq(triple(981 ^ [], create_slb, 982 ^ []), 983 ^ []), -(contains_slb(create_slb, 983 ^ []))],extension(751 ^ 5,bind([[_196444, _196446, _196448, _196450], [983 ^ [], 982 ^ [], create_slb, 981 ^ []]]))).
% 10.29/10.72  ncf('1.1.2.1.1',plain,[contains_slb(create_slb, 983 ^ [])],extension(601 ^ 6,bind([[_190582], [983 ^ []]]))).
% 10.29/10.72  ncf('1.1.2.2',plain,[-(contains_cpq(triple(981 ^ [], create_slb, 982 ^ []), 983 ^ []))],extension(987 ^ 5)).
% 10.29/10.72  ncf('1.1.2.3',plain,[-(triple(981 ^ [], create_slb, 982 ^ []) = triple(981 ^ [], create_slb, 982 ^ [])), 981 ^ [] = 981 ^ [], create_slb = create_slb, 982 ^ [] = 982 ^ []],extension(448 ^ 5,bind([[_185215, _185217, _185219, _185221, _185223, _185225], [982 ^ [], 982 ^ [], create_slb, create_slb, 981 ^ [], 981 ^ []]]))).
% 10.29/10.72  ncf('1.1.2.3.1',plain,[-(981 ^ [] = 981 ^ [])],extension(2 ^ 6,bind([[_170238], [981 ^ []]]))).
% 10.29/10.72  ncf('1.1.2.3.2',plain,[-(create_slb = create_slb)],extension(2 ^ 6,bind([[_170238], [create_slb]]))).
% 10.29/10.72  ncf('1.1.2.3.3',plain,[-(982 ^ [] = 982 ^ [])],extension(2 ^ 6,bind([[_170238], [982 ^ []]]))).
% 10.29/10.72  ncf('1.2',plain,[-(contains_cpq(triple(981 ^ [], create_slb, 982 ^ []), 983 ^ [])), contains_slb(create_slb, 983 ^ [])],extension(757 ^ 3,bind([[_196626, _196628, _196630, _196632], [983 ^ [], 982 ^ [], create_slb, 981 ^ []]]))).
% 10.29/10.72  ncf('1.2.1',plain,[-(contains_slb(create_slb, 983 ^ [])), contains_slb(insert_slb(create_slb, pair(983 ^ [], _119223)), 983 ^ []), -(983 ^ [] = 983 ^ [])],extension(603 ^ 4,bind([[_190746, _190748, _190750, _190752], [_119223, 983 ^ [], 983 ^ [], create_slb]]))).
% 10.29/10.72  ncf('1.2.1.1',plain,[-(contains_slb(insert_slb(create_slb, pair(983 ^ [], _119223)), 983 ^ [])), 617 : 983 ^ [] = 983 ^ []],extension(613 ^ 5,bind([[_191030, _191032, _191034, _191036], [_119223, 983 ^ [], 983 ^ [], create_slb]]))).
% 10.29/10.72  ncf('1.2.1.1.1',plain,[-(983 ^ [] = 983 ^ [])],extension(2 ^ 8,bind([[_170238], [983 ^ []]]))).
% 10.29/10.72  ncf('1.2.1.2',plain,[983 ^ [] = 983 ^ [], -(contains_pq(create_pq, 983 ^ [])), contains_pq(i(triple(981 ^ [], create_slb, 982 ^ [])), 983 ^ []), i(triple(981 ^ [], create_slb, 982 ^ [])) = create_pq],extension(248 ^ 5,bind([[_177984, _177986, _177988, _177990], [983 ^ [], 983 ^ [], create_pq, i(triple(981 ^ [], create_slb, 982 ^ []))]]))).
% 10.29/10.72  ncf('1.2.1.2.1',plain,[contains_pq(create_pq, 983 ^ [])],extension(504 ^ 6,bind([[_187203], [983 ^ []]]))).
% 10.29/10.72  ncf('1.2.1.2.2',plain,[-(contains_pq(i(triple(981 ^ [], create_slb, 982 ^ [])), 983 ^ []))],extension(991 ^ 6)).
% 10.29/10.72  ncf('1.2.1.2.3',plain,[-(i(triple(981 ^ [], create_slb, 982 ^ [])) = create_pq)],extension(867 ^ 6,bind([[_200878, _200880], [982 ^ [], 981 ^ []]]))).
% 10.29/10.72  %-----------------------------------------------------
% 10.29/10.72  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------